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 412
1.46k
| 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 | example_query_id
stringclasses 160
values | example_fsm_id
stringclasses 160
values | input_alphabet
stringlengths 1
20
| simulated_solution
stringclasses 15
values | solution_verbose
stringlengths 77
381
| query_zero_shot
stringlengths 161
624
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
407e32cb-a25b-4424-a113-8b86c04af64e | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e ? | s6 | 1 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | e | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e ? |
f00061aa-28fe-4381-b062-46ba910f14ba | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c ? | s8 | 2 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ec | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c ? |
7cdfa587-80ac-4fba-9dcc-b633f8fdb65e | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e ? | s5 | 4 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecee | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e ? |
41835077-478d-421b-a804-2e6a3234a9f6 | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d ? | s6 | 5 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceed | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d ? |
e46a9e67-18d1-4cdf-97ee-d3b0d6a49b84 | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e ? | s6 | 6 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceede | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e ? |
b1d065cf-290c-4a3e-bdd7-fd9b53e04468 | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b ? | s4 | 7 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedeb | s4 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b ? |
39a0337b-99fd-4021-95b7-1673a4738eb8 | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d ? | s1 | 8 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebd | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d ? |
5d385d81-db19-4d3f-a140-2d11584bfcda | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d ? | s5 | 9 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebdd | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
(s1, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d ? |
f20eeeb9-a808-42ed-b306-b682423b68c9 | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e ? | s5 | 10 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebdde | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
(s1, 'd', s5)
(s5, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e ? |
4f623ffc-6547-4f7e-ab65-bc790798c096 | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e ? | s5 | 3 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ece | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e ? |
b102ca8d-7f8c-4059-be87-d712620c9f87 | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a ? | s1 | 11 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebddea | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
(s1, 'd', s5)
(s5, 'e', s5)
(s5, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a ? |
d2b096a2-871d-4273-8c39-ea74ff2901ad | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a ? | s0 | 13 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebddeaea | s0 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
(s1, 'd', s5)
(s5, 'e', s5)
(s5, 'a', s1)
(s1, 'e', s1)
(s1, 'a', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a ? |
6f24db5f-3548-45c1-a39a-422b69965518 | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d ? | s1 | 14 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebddeaead | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
(s1, 'd', s5)
(s5, 'e', s5)
(s5, 'a', s1)
(s1, 'e', s1)
(s1, 'a', s0)
(s0, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d ? |
15409dba-6952-4b83-af8d-36aa31e86e6f | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d d ? | s5 | 15 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebddeaeadd | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
(s1, 'd', s5)
(s5, 'e', s5)
(s5, 'a', s1)
(s1, 'e', s1)
(s1, 'a', s0)
(s0, 'd', s1)
(s1, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d d ? |
a4b22211-4696-4f2d-aa08-29d4cab57664 | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d d a ? | s1 | 16 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebddeaeadda | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
(s1, 'd', s5)
(s5, 'e', s5)
(s5, 'a', s1)
(s1, 'e', s1)
(s1, 'a', s0)
(s0, 'd', s1)
(s1, 'd', s5)
(s5, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d d a ? |
9ed00716-d82b-47ff-8992-b7ce640022ab | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d d a c ? | s0 | 17 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebddeaeaddac | s0 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
(s1, 'd', s5)
(s5, 'e', s5)
(s5, 'a', s1)
(s1, 'e', s1)
(s1, 'a', s0)
(s0, 'd', s1)
(s1, 'd', s5)
(s5, 'a', s1)
(s1, 'c', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d d a c ? |
11533670-159a-4e39-b4fe-5fc3d334ed89 | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d d a c b ? | s5 | 18 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebddeaeaddacb | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
(s1, 'd', s5)
(s5, 'e', s5)
(s5, 'a', s1)
(s1, 'e', s1)
(s1, 'a', s0)
(s0, 'd', s1)
(s1, 'd', s5)
(s5, 'a', s1)
(s1, 'c', s0)
(s0, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d d a c b ? |
4521a41d-24cb-4a0c-9c61-c1b28e846003 | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d d a c b d ? | s6 | 19 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebddeaeaddacbd | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
(s1, 'd', s5)
(s5, 'e', s5)
(s5, 'a', s1)
(s1, 'e', s1)
(s1, 'a', s0)
(s0, 'd', s1)
(s1, 'd', s5)
(s5, 'a', s1)
(s1, 'c', s0)
(s0, 'b', s5)
(s5, 'd', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d d a c b d ? |
93d6caec-dbe0-4d63-9ef6-cb78ce6cbcb2 | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e ? | s1 | 12 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebddeae | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
(s1, 'd', s5)
(s5, 'e', s5)
(s5, 'a', s1)
(s1, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e ? |
95335f34-fa32-411f-9e83-2b1c99609bea | 85dc3645-61fb-408f-b254-698c4bd497d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s7", "s5", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2","s7":"s2","s8":"s4"},"b":{"s0":"s5","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s3","s6":"s4","s7":"s5","s8":"s5"},"c":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1","s4":"s8","s5":"s0","s6":"s8","s7":"s8","s8":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s1","s5":"s6","s6":"s2","s7":"s8","s8":"s6"},"e":{"s0":"s6","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s5","s6":"s6","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d d a c b d d ? | s2 | 20 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eceedebddeaeaddacbdd | s2 | Transitions (current_state, input, next_state):
(s0, 'e', s6)
(s6, 'c', s8)
(s8, 'e', s5)
(s5, 'e', s5)
(s5, 'd', s6)
(s6, 'e', s6)
(s6, 'b', s4)
(s4, 'd', s1)
(s1, 'd', s5)
(s5, 'e', s5)
(s5, 'a', s1)
(s1, 'e', s1)
(s1, 'a', s0)
(s0, 'd', s1)
(s1, 'd', s5)
(s5, 'a', s1)
(s1, 'c', s0)
(s0, 'b', s5)
(s5, 'd', s6)
(s6, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d e
s0 s7 s5 s3 s1 s6
s1 s0 s7 s0 s5 s1
s2 s0 s0 s1 s1 s4
s3 s0 s7 s1 s4 s5
s4 s0 s6 s8 s1 s0
s5 s1 s3 s0 s6 s5
s6 s2 s4 s8 s2 s6
s7 s2 s5 s8 s8 s1
s8 s4 s5 s1 s6 s5
With the initial state: s0, and accepting states: ['s2', 's7', 's5', 's8', 's3'],
What will be the state after reading the following input: e c e e d e b d d e a e a d d a c b d d ? |
9e8a084d-74ab-459f-83fc-294a96e43aaf | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e ? | s6 | 2 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | be | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e ? |
d9211d25-b2c8-4779-af42-c73e9f78b8c5 | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c c e a c c ? | s3 | 19 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaabdaaeccceacc | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
(s8, 'd', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'e', s1)
(s1, 'c', s3)
(s3, 'c', s3)
(s3, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s3)
(s3, 'c', s3)
(s3, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c c e a c c ? |
345e8735-e3d9-4200-898e-c53a0f9caa0d | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d ? | s7 | 3 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bed | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d ? |
401ece26-915c-4a4d-a4a3-9dc3f9e4aeaa | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e ? | s7 | 4 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bede | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e ? |
4ae97631-5f49-40b5-9437-fce062ff3f81 | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e ? | s7 | 5 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedee | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e ? |
5bcc2efd-f90c-42ca-9cf0-1dff600de87f | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a ? | s1 | 6 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeea | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a ? |
c56f3f16-9190-45a5-adb4-b2e36dfb533a | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a ? | s3 | 7 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaa | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a ? |
da37d246-6227-44c8-87ec-acf8421d2579 | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b ? | s8 | 8 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaab | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b ? |
578ab517-4fdc-4277-9311-23e44a686be0 | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d ? | s7 | 9 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaabd | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
(s8, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d ? |
b810cebf-4fb2-46cb-b63a-e8a22ada7555 | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c c e a c c b ? | s8 | 20 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaabdaaeccceaccb | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
(s8, 'd', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'e', s1)
(s1, 'c', s3)
(s3, 'c', s3)
(s3, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s3)
(s3, 'c', s3)
(s3, 'c', s3)
(s3, 'b', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c c e a c c b ? |
8acc306b-344c-4b2d-9028-e54d8d7dddeb | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a ? | s1 | 10 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaabda | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
(s8, 'd', s7)
(s7, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a ? |
4ac5f06a-644b-4e83-a7aa-33acd2ae0d06 | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e ? | s1 | 12 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaabdaae | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
(s8, 'd', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e ? |
f5435d53-dd85-4bd4-86df-ee76c4a34969 | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c ? | s3 | 13 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaabdaaec | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
(s8, 'd', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'e', s1)
(s1, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c ? |
081e714c-9cc3-42ed-ba7f-bb70ea984e00 | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c ? | s3 | 14 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaabdaaecc | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
(s8, 'd', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'e', s1)
(s1, 'c', s3)
(s3, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c ? |
f8cad600-746c-4f2c-a7f0-f1a9fbbc6c3d | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c c ? | s3 | 15 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaabdaaeccc | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
(s8, 'd', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'e', s1)
(s1, 'c', s3)
(s3, 'c', s3)
(s3, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c c ? |
24600a16-21c6-4690-9dd0-a84e48c5b526 | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c c e ? | s1 | 16 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaabdaaeccce | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
(s8, 'd', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'e', s1)
(s1, 'c', s3)
(s3, 'c', s3)
(s3, 'c', s3)
(s3, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c c e ? |
538d0774-095d-40fc-9e4d-a88c83482a94 | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c c e a ? | s3 | 17 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaabdaaecccea | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
(s8, 'd', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'e', s1)
(s1, 'c', s3)
(s3, 'c', s3)
(s3, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c c e a ? |
dc72b024-84f5-444a-8eef-5b6ad4c9634e | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c c e a c ? | s3 | 18 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaabdaaeccceac | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
(s8, 'd', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'e', s1)
(s1, 'c', s3)
(s3, 'c', s3)
(s3, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s3)
(s3, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a e c c c e a c ? |
6758b829-ba65-442f-98bc-e6e3294c43ff | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a ? | s3 | 11 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | bedeeaabdaa | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'e', s6)
(s6, 'd', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'a', s1)
(s1, 'a', s3)
(s3, 'b', s8)
(s8, 'd', s7)
(s7, 'a', s1)
(s1, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b e d e e a a b d a a ? |
f2f53012-4508-4485-a6c5-eac397d0b15f | a167ab88-596d-40ce-a247-0b74c1295539 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s5", "s8", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s5","s7":"s1","s8":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s8","s3":"s8","s4":"s6","s5":"s0","s6":"s1","s7":"s6","s8":"s7"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s5","s8":"s1"},"d":{"s0":"s7","s1":"s6","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s7","s7":"s0","s8":"s7"},"e":{"s0":"s4","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b ? | s4 | 1 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | b | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s6 s4 s0 s7 s4
s1 s3 s5 s3 s6 s2
s2 s3 s8 s1 s0 s5
s3 s6 s8 s3 s0 s1
s4 s7 s6 s7 s1 s6
s5 s0 s0 s1 s1 s5
s6 s5 s1 s7 s7 s4
s7 s1 s6 s5 s0 s7
s8 s6 s7 s1 s7 s5
With the initial state: s0, and accepting states: ['s3', 's5', 's8', 's4', 's0'],
What will be the state after reading the following input: b ? |
8c61c403-a334-4f54-a3b4-fc9c0f72e6b9 | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a d b d e e a ? | s4 | 20 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeecbcedeadbdeea | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
(s8, 'b', s1)
(s1, 'c', s0)
(s0, 'e', s5)
(s5, 'd', s7)
(s7, 'e', s3)
(s3, 'a', s8)
(s8, 'd', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'e', s5)
(s5, 'e', s0)
(s0, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a d b d e e a ? |
e68b373b-538f-43c0-ac41-dd7360121f99 | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c ? | s3 | 1 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | c | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c ? |
fdd30f60-869d-4f73-80ce-d3effff8cd3f | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e ? | s1 | 4 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccce | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e ? |
83b2b223-3a84-4e1a-ae49-e27ca6d68347 | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a ? | s5 | 5 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cccea | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a ? |
27322084-ffbf-41d5-85c0-45e674d27f8c | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e ? | s0 | 6 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceae | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e ? |
2db31c76-46e2-4141-a762-70ca8b8c48a6 | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e ? | s5 | 7 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaee | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e ? |
eb85829e-fab4-420c-b6a5-5dfdbe3e2f7e | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c ? | s8 | 8 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeec | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c ? |
c9384cdd-fbea-44ce-8e4c-0a9ead15b75a | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b ? | s1 | 9 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeecb | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
(s8, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b ? |
0b3368ca-510c-4228-86a3-a9b96626eee9 | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c ? | s0 | 10 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeecbc | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
(s8, 'b', s1)
(s1, 'c', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c ? |
ec7e21f1-2830-4afa-b870-6c1d395a6857 | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e ? | s5 | 11 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeecbce | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
(s8, 'b', s1)
(s1, 'c', s0)
(s0, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e ? |
52767d53-d3ee-4d10-abc2-3133bf251b4b | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d ? | s7 | 12 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeecbced | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
(s8, 'b', s1)
(s1, 'c', s0)
(s0, 'e', s5)
(s5, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d ? |
21492039-5fef-4c97-a766-9d2864b8eb7f | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e ? | s3 | 13 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeecbcede | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
(s8, 'b', s1)
(s1, 'c', s0)
(s0, 'e', s5)
(s5, 'd', s7)
(s7, 'e', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e ? |
466210a6-4e93-49af-bd6c-664ba75c07f6 | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a ? | s8 | 14 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeecbcedea | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
(s8, 'b', s1)
(s1, 'c', s0)
(s0, 'e', s5)
(s5, 'd', s7)
(s7, 'e', s3)
(s3, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a ? |
360d13fc-848d-4c01-bc69-1733bbd6c737 | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a d ? | s1 | 15 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeecbcedead | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
(s8, 'b', s1)
(s1, 'c', s0)
(s0, 'e', s5)
(s5, 'd', s7)
(s7, 'e', s3)
(s3, 'a', s8)
(s8, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a d ? |
43a3bbf3-90ce-4df3-a0a8-c6d423de2285 | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a d b ? | s3 | 16 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeecbcedeadb | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
(s8, 'b', s1)
(s1, 'c', s0)
(s0, 'e', s5)
(s5, 'd', s7)
(s7, 'e', s3)
(s3, 'a', s8)
(s8, 'd', s1)
(s1, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a d b ? |
b867770b-9127-485d-af0b-c17dcfbe3eba | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a d b d ? | s8 | 17 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeecbcedeadbd | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
(s8, 'b', s1)
(s1, 'c', s0)
(s0, 'e', s5)
(s5, 'd', s7)
(s7, 'e', s3)
(s3, 'a', s8)
(s8, 'd', s1)
(s1, 'b', s3)
(s3, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a d b d ? |
f9c14689-f00d-4999-880a-6eb47063b633 | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a d b d e ? | s5 | 18 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeecbcedeadbde | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
(s8, 'b', s1)
(s1, 'c', s0)
(s0, 'e', s5)
(s5, 'd', s7)
(s7, 'e', s3)
(s3, 'a', s8)
(s8, 'd', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a d b d e ? |
1ed2ef14-4836-4021-b91c-0626bb6b9763 | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c ? | s3 | 3 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccc | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c ? |
3fa6f1ac-33eb-4cb9-ac72-76acc1b2fd10 | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c ? | s6 | 2 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cc | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c ? |
9d26694a-5a7f-4633-b52b-f83116aba7ed | a23079fe-589b-4c81-9d43-491b349418d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s2", "s3", "s1", "s5", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s3","s5":"s2","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s6","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s5","s5":"s8","s6":"s3","s7":"s5","s8":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s7","s3":"s8","s4":"s2","s5":"s7","s6":"s0","s7":"s6","s8":"s1"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3","s7":"s3","s8":"s5"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a d b d e e ? | s0 | 19 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ccceaeecbcedeadbdee | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s3)
(s3, 'c', s6)
(s6, 'c', s3)
(s3, 'e', s1)
(s1, 'a', s5)
(s5, 'e', s0)
(s0, 'e', s5)
(s5, 'c', s8)
(s8, 'b', s1)
(s1, 'c', s0)
(s0, 'e', s5)
(s5, 'd', s7)
(s7, 'e', s3)
(s3, 'a', s8)
(s8, 'd', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'e', s5)
(s5, 'e', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s4 s1 s3 s5 s5
s1 s5 s3 s0 s4 s4
s2 s6 s4 s4 s7 s5
s3 s8 s4 s6 s8 s1
s4 s3 s1 s5 s2 s3
s5 s2 s8 s8 s7 s0
s6 s1 s4 s3 s0 s3
s7 s2 s6 s5 s6 s3
s8 s1 s1 s6 s1 s5
With the initial state: s0, and accepting states: ['s8', 's2', 's3', 's1', 's5', 's4', 's0', 's6'],
What will be the state after reading the following input: c c c e a e e c b c e d e a d b d e e ? |
6357cff5-374f-425f-8f87-c98854663a5b | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c ? | s2 | 1 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | c | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c ? |
31219f05-c14d-4e49-98f6-b0a11fb22512 | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e ? | s1 | 3 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbe | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e ? |
a6e45b5e-f6e9-4061-bff0-4862a15e34a6 | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a ? | s6 | 4 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbea | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a ? |
779b13a5-78e0-43cf-8af8-799b76e99d4b | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d ? | s6 | 5 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbead | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d ? |
d27b5ddb-36df-4c48-b72f-7d17da6ef9f8 | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a ? | s2 | 6 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeada | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a ? |
4206ff81-3e04-4c7d-9bd1-5167ce744f2a | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d ? | s8 | 7 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadad | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d ? |
d42496ac-e71e-48ad-ba01-c3dfcf018038 | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e ? | s8 | 8 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadade | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e ? |
d043f17b-3b5a-4f46-9c47-b19c5dc7d03b | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a ? | s1 | 9 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadadea | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
(s8, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a ? |
dd9a2073-ae25-46eb-ad8e-6eede5c077cc | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c ? | s4 | 10 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadadeac | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
(s8, 'a', s1)
(s1, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c ? |
f871f070-522d-4241-a71b-cf97867bec80 | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d ? | s7 | 11 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadadeacd | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
(s8, 'a', s1)
(s1, 'c', s4)
(s4, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d ? |
0bcb1031-5fb6-4e1f-9486-fce8577be918 | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a ? | s4 | 12 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadadeacda | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
(s8, 'a', s1)
(s1, 'c', s4)
(s4, 'd', s7)
(s7, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a ? |
710d9c53-a845-4a8f-b0b3-dc9a8aa5420b | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a ? | s4 | 13 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadadeacdaa | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
(s8, 'a', s1)
(s1, 'c', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a ? |
fec52279-dcca-4c98-a492-05320dd90ea5 | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d ? | s7 | 14 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadadeacdaad | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
(s8, 'a', s1)
(s1, 'c', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
(s4, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d ? |
cbe4f9cb-ab24-420d-945b-7a6bf2a87760 | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d a ? | s4 | 15 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadadeacdaada | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
(s8, 'a', s1)
(s1, 'c', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
(s4, 'd', s7)
(s7, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d a ? |
b57111c7-ade2-4b8b-93d1-8417fe67551f | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d a a ? | s4 | 16 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadadeacdaadaa | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
(s8, 'a', s1)
(s1, 'c', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d a a ? |
a9edd5a7-cd0f-40e8-a983-207d0e93f0f7 | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d a a e ? | s5 | 17 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadadeacdaadaae | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
(s8, 'a', s1)
(s1, 'c', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d a a e ? |
6203a9e1-1dec-4130-b625-52cb88768115 | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d a a e b ? | s8 | 18 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadadeacdaadaaeb | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
(s8, 'a', s1)
(s1, 'c', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s5)
(s5, 'b', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d a a e b ? |
35d5e414-8457-45ac-9f73-520b46191faa | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d a a e b c ? | s7 | 19 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadadeacdaadaaebc | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
(s8, 'a', s1)
(s1, 'c', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s5)
(s5, 'b', s8)
(s8, 'c', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d a a e b c ? |
45677a12-f6d6-44ba-affb-23ee508d10cf | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d a a e b c d ? | s6 | 20 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cbeadadeacdaadaaebcd | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
(s0, 'e', s1)
(s1, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s2)
(s2, 'd', s8)
(s8, 'e', s8)
(s8, 'a', s1)
(s1, 'c', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
(s4, 'd', s7)
(s7, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s5)
(s5, 'b', s8)
(s8, 'c', s7)
(s7, 'd', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b e a d a d e a c d a a d a a e b c d ? |
1fb5d98b-8542-4f9c-8611-9305a90765f3 | ac2a4e04-ee20-4bd5-b9a4-5873e9c16a68 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s5","s1":"s6","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"b":{"s0":"s7","s1":"s4","s2":"s0","s3":"s8","s4":"s3","s5":"s8","s6":"s8","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s4","s2":"s7","s3":"s4","s4":"s2","s5":"s1","s6":"s5","s7":"s1","s8":"s7"},"d":{"s0":"s0","s1":"s6","s2":"s8","s3":"s6","s4":"s7","s5":"s4","s6":"s6","s7":"s6","s8":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s5","s5":"s7","s6":"s8","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b ? | s0 | 2 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | cb | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s5 s7 s2 s0 s1
s1 s6 s4 s4 s6 s3
s2 s3 s0 s7 s8 s0
s3 s8 s8 s4 s6 s5
s4 s4 s3 s2 s7 s5
s5 s3 s8 s1 s4 s7
s6 s2 s8 s5 s6 s8
s7 s4 s3 s1 s6 s5
s8 s1 s7 s7 s2 s8
With the initial state: s0, and accepting states: ['s0', 's3'],
What will be the state after reading the following input: c b ? |
066d70c6-f88f-4f7f-8815-d3064ca163d5 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e b e d b e ? | s0 | 19 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaeccebaaabbebedbe | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
(s1, 'a', s6)
(s6, 'a', s3)
(s3, 'a', s3)
(s3, 'b', s5)
(s5, 'b', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'e', s5)
(s5, 'd', s7)
(s7, 'b', s1)
(s1, 'e', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e b e d b e ? |
49f1de1f-5a03-47a5-8dfb-94c90a5363ba | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b ? | s7 | 2 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ab | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b ? |
88bcdbd4-d7a9-47a6-8cda-adc2666252b2 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e ? | s1 | 4 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abae | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e ? |
0c9a86e6-b7cc-4cd0-824b-5fb4b9fd8ef6 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c ? | s4 | 5 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaec | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c ? |
8b4a2c65-3978-493d-a065-a311f893c597 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c ? | s3 | 6 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaecc | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c ? |
588980c7-bc36-41ad-9e03-fda214cc70b2 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e ? | s7 | 7 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaecce | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e ? |
771b5d6f-806c-44d2-b6e1-513cde8dd946 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b ? | s1 | 8 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaecceb | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b ? |
789bf5ab-d6ac-4ff1-b3ae-1e6e91f290b0 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a ? | s6 | 9 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaecceba | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
(s1, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a ? |
a6d45205-ad3e-4861-a70c-e6d82df6d011 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a ? | s3 | 10 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaeccebaa | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
(s1, 'a', s6)
(s6, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a ? |
9a3d4318-f399-4ec2-ae97-9966ba9c421a | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a ? | s8 | 3 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | aba | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a ? |
6a71b52a-13cc-475e-8f01-8dd85e11bafe | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a ? | s3 | 11 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaeccebaaa | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
(s1, 'a', s6)
(s6, 'a', s3)
(s3, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a ? |
287b440d-c9d9-4590-8686-5356252655e3 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b ? | s6 | 13 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaeccebaaabb | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
(s1, 'a', s6)
(s6, 'a', s3)
(s3, 'a', s3)
(s3, 'b', s5)
(s5, 'b', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b ? |
ffa4c9f2-03ef-48de-b8d4-5e4cb2449717 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e ? | s4 | 14 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaeccebaaabbe | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
(s1, 'a', s6)
(s6, 'a', s3)
(s3, 'a', s3)
(s3, 'b', s5)
(s5, 'b', s6)
(s6, 'e', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e ? |
42696a26-55a1-4126-8c5a-0354fc9f24f8 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e b ? | s4 | 15 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaeccebaaabbeb | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
(s1, 'a', s6)
(s6, 'a', s3)
(s3, 'a', s3)
(s3, 'b', s5)
(s5, 'b', s6)
(s6, 'e', s4)
(s4, 'b', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e b ? |
bd795098-12c7-4cf2-81d4-36b17810cfc9 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e b e ? | s5 | 16 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaeccebaaabbebe | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
(s1, 'a', s6)
(s6, 'a', s3)
(s3, 'a', s3)
(s3, 'b', s5)
(s5, 'b', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e b e ? |
6126dd3c-21db-43c5-90ed-ceeb7342e38f | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e b e d ? | s7 | 17 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaeccebaaabbebed | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
(s1, 'a', s6)
(s6, 'a', s3)
(s3, 'a', s3)
(s3, 'b', s5)
(s5, 'b', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'e', s5)
(s5, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e b e d ? |
ccd5c3a1-d6c5-4bbe-be45-c724311fcf3c | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e b e d b ? | s1 | 18 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaeccebaaabbebedb | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
(s1, 'a', s6)
(s6, 'a', s3)
(s3, 'a', s3)
(s3, 'b', s5)
(s5, 'b', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'e', s5)
(s5, 'd', s7)
(s7, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e b e d b ? |
944bd4e7-522f-4d26-a99b-cd2719102381 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e b e d b e c ? | s2 | 20 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaeccebaaabbebedbec | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
(s1, 'a', s6)
(s6, 'a', s3)
(s3, 'a', s3)
(s3, 'b', s5)
(s5, 'b', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'e', s5)
(s5, 'd', s7)
(s7, 'b', s1)
(s1, 'e', s0)
(s0, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b b e b e d b e c ? |
465070f1-47b2-4b54-a4a9-7c471480e198 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b ? | s5 | 12 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | abaeccebaaab | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
(s0, 'b', s7)
(s7, 'a', s8)
(s8, 'e', s1)
(s1, 'c', s4)
(s4, 'c', s3)
(s3, 'e', s7)
(s7, 'b', s1)
(s1, 'a', s6)
(s6, 'a', s3)
(s3, 'a', s3)
(s3, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a b a e c c e b a a a b ? |
9bce4cc7-7ad2-4921-b928-03b78179fd86 | b552099a-0b2b-48a2-8e64-592152e63253 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s1", "s3", "s8", "s4", "s2", "s0", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s8","s8":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s5","s4":"s4","s5":"s6","s6":"s5","s7":"s1","s8":"s3"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s2","s7":"s2","s8":"s4"},"d":{"s0":"s7","s1":"s0","s2":"s2","s3":"s2","s4":"s0","s5":"s7","s6":"s3","s7":"s5","s8":"s7"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s5","s5":"s2","s6":"s4","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a ? | s0 | 1 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | a | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s0 s7 s2 s7 s2
s1 s6 s1 s4 s0 s0
s2 s7 s3 s4 s2 s2
s3 s3 s5 s4 s2 s7
s4 s6 s4 s3 s0 s5
s5 s3 s6 s4 s7 s2
s6 s3 s5 s2 s3 s4
s7 s8 s1 s2 s5 s5
s8 s1 s3 s4 s7 s1
With the initial state: s0, and accepting states: ['s1', 's3', 's8', 's4', 's2', 's0', 's7', 's5'],
What will be the state after reading the following input: a ? |