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
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
f18d7da4-aa6f-4fd8-af00-e583825971d8 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d ? | s4 | 2 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ed | s4 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d ? |
049c7734-ad05-4db8-b92e-8c9a14c06e48 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b b d b a e ? | s8 | 19 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbecdbabbbdbae | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
(s6, 'c', s5)
(s5, 'd', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'b', s5)
(s5, 'a', s4)
(s4, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b b d b a e ? |
29d4de15-5772-4983-9d26-a1494de5ecb8 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a ? | s5 | 3 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | eda | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a ? |
94356722-2b86-4497-ad97-3a32d3d710a2 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c ? | s7 | 4 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edac | s7 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c ? |
cab068ed-5bea-4df2-aed2-a31a3c52e1a8 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e ? | s1 | 5 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edace | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e ? |
3aa9d641-32df-441f-bdfc-bcc0e7bcc9eb | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d ? | s1 | 6 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edaced | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d ? |
5124ec06-ad1f-4c87-a042-a480cbac7a54 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b ? | s3 | 7 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedb | s3 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b ? |
01d115f0-06eb-4dac-8c81-f383f192e90f | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e ? | s6 | 8 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbe | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e ? |
5a11e8da-a0c8-499b-8b20-8b6933690d60 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c ? | s5 | 9 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbec | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
(s6, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c ? |
047e55da-9927-4a0f-ac98-f5a77a0f51d1 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b b d b a e b ? | s5 | 20 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbecdbabbbdbaeb | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
(s6, 'c', s5)
(s5, 'd', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'b', s5)
(s5, 'a', s4)
(s4, 'e', s8)
(s8, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b b d b a e b ? |
b38b6eb8-2c96-41a2-8246-bec0ae921943 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d ? | s5 | 10 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbecd | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
(s6, 'c', s5)
(s5, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d ? |
107500e0-e148-4832-bcec-1fed2def7e11 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a ? | s1 | 12 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbecdba | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
(s6, 'c', s5)
(s5, 'd', s5)
(s5, 'b', s2)
(s2, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a ? |
c5b262f5-40b2-4322-a9e6-a21905595eb7 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b ? | s3 | 13 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbecdbab | s3 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
(s6, 'c', s5)
(s5, 'd', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b ? |
614fdb9d-63fe-4af6-9cfb-902e28c13d41 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b ? | s1 | 14 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbecdbabb | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
(s6, 'c', s5)
(s5, 'd', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'b', s3)
(s3, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b ? |
236df4bc-e6df-4615-940f-d09a6bbc201e | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b b ? | s3 | 15 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbecdbabbb | s3 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
(s6, 'c', s5)
(s5, 'd', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b b ? |
70dd5f61-aaab-4618-86cb-b63f6a17a50c | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b b d ? | s8 | 16 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbecdbabbbd | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
(s6, 'c', s5)
(s5, 'd', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b b d ? |
0451f5a4-3d24-460f-a7ca-70c718867501 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b b d b ? | s5 | 17 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbecdbabbbdb | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
(s6, 'c', s5)
(s5, 'd', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b b d b ? |
fb415cbc-059b-46bb-8d26-f840b11b35c6 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b b d b a ? | s4 | 18 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbecdbabbbdba | s4 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
(s6, 'c', s5)
(s5, 'd', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'b', s5)
(s5, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b a b b b d b a ? |
c2223a96-b9cb-42d7-91de-6929d9bc2be6 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b ? | s2 | 11 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | edacedbecdb | s2 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
(s0, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
(s7, 'e', s1)
(s1, 'd', s1)
(s1, 'b', s3)
(s3, 'e', s6)
(s6, 'c', s5)
(s5, 'd', s5)
(s5, 'b', s2)
Final state: s2 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e d a c e d b e c d b ? |
f64f06b9-9b26-45b1-8938-53e0e5e09a59 | c6141a5e-13c6-4405-be3d-9395ab55c63c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4", "s8", "s1", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s1","s3":"s8","s4":"s5","s5":"s4","s6":"s8","s7":"s0","s8":"s2"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s3","s8":"s5"},"c":{"s0":"s1","s1":"s3","s2":"s4","s3":"s6","s4":"s1","s5":"s7","s6":"s5","s7":"s0","s8":"s2"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s8","s4":"s7","s5":"s5","s6":"s4","s7":"s7","s8":"s7"},"e":{"s0":"s0","s1":"s3","s2":"s5","s3":"s6","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s4"}} | 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 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e ? | s0 | 1 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | e | s0 | Transitions (current_state, input, next_state):
(s0, 'e', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s2 s2 s1 s4 s0
s1 s4 s3 s3 s1 s3
s2 s1 s0 s4 s1 s5
s3 s8 s1 s6 s8 s6
s4 s5 s0 s1 s7 s8
s5 s4 s2 s7 s5 s6
s6 s8 s7 s5 s4 s2
s7 s0 s3 s0 s7 s1
s8 s2 s5 s2 s7 s4
With the initial state: s0, and accepting states: ['s4', 's8', 's1', 's7'],
What will be the state after reading the following input: e ? |
c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ? | s0 | 20 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefeedaccabacfed | s0 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ? |
518cb4c5-4c6a-4c0e-9ec5-75dd9e54a961 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a ? | s7 | 2 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | da | s7 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a ? |
289e1008-29d8-4f79-992b-5e465ed4ef09 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b ? | s0 | 3 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dab | s0 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b ? |
d1d0c2a6-146a-43d8-afad-c2b1616d11c8 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b ? | s0 | 4 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabb | s0 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b ? |
ba7608b5-a480-4b10-a67a-c61830e1fff6 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d ? | s5 | 5 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbd | s5 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d ? |
6ff90dd0-f32f-4ba5-ad5d-f7b64116c287 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e ? | s8 | 6 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbde | s8 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e ? |
ca93637f-d7a0-4592-a486-583df8e8d4e3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f ? | s7 | 7 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdef | s7 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f ? |
6092bbce-b42a-4fa4-8dc8-988b3fd0dec9 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e ? | s1 | 8 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefe | s1 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e ? |
dd71ae9f-5d17-4ec8-9d59-f4a2e6e9e38e | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e ? | s8 | 9 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefee | s8 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e ? |
440c9cc0-9ea0-43ff-8872-b29df6085c0b | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d ? | s0 | 10 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefeed | s0 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d ? |
7dc46fad-952e-4b04-9fa2-b4740e8ec5a4 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a ? | s6 | 11 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefeeda | s6 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a ? |
93c0ce97-817c-4d6f-a1e8-e333db276cba | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c ? | s7 | 12 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefeedac | s7 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c ? |
e8beba4e-55de-46e9-bf45-1b92c69e2416 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c ? | s8 | 13 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefeedacc | s8 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c ? |
c9db9d1e-3644-499d-bd73-07dc6f955f04 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a ? | s1 | 14 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefeedacca | s1 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a ? |
468d654b-eef8-477d-a50f-e58c090a4eaa | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b ? | s2 | 15 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefeedaccab | s2 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b ? |
8f2aaf81-d561-44e9-8f19-bc99134a2bed | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a ? | s6 | 16 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefeedaccaba | s6 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a ? |
45146b8a-6fcd-499f-a33b-ad0bae2f1bba | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c ? | s7 | 17 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefeedaccabac | s7 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c ? |
983be109-78b5-463a-af18-cf8797e6f52a | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f ? | s1 | 18 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefeedaccabacf | s1 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f ? |
fba1eada-c256-4f4a-8dc9-058b94edebf4 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d ? | s5 | 1 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | d | s5 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d ? |
0825c069-22c9-4c45-b063-a0e3dad3e589 | 254a5dec-0be8-491d-92bd-8def4c46d430 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s2", "s4", "s7", "s8", "s3", "s6", "s0", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s8","s7":"s1","s8":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1","s4":"s8","s5":"s2","s6":"s5","s7":"s0","s8":"s4"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s3","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s5"},"d":{"s0":"s5","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s3","s6":"s0","s7":"s0","s8":"s0"},"e":{"s0":"s0","s1":"s8","s2":"s1","s3":"s1","s4":"s5","s5":"s8","s6":"s7","s7":"s1","s8":"s8"},"f":{"s0":"s7","s1":"s8","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7
Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e ? | s8 | 19 | 9 | 6 | 9_6 | 94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | dabbdefeedaccabacfe | s8 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e ? |
94ffd339-529e-406c-9b36-d57711e0eae0 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ? | s7 | 1 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | e | s7 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e ? |
c3acf4a2-9241-4078-96d9-458377f1f01c | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b a a e e ? | s6 | 18 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedabcdbeebaaee | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
(s8, 'c', s7)
(s7, 'd', s5)
(s5, 'b', s5)
(s5, 'e', s8)
(s8, 'e', s1)
(s1, 'b', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'e', s1)
(s1, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b a a e e ? |
46adae6b-de26-4225-827e-1959f54ef397 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b a a ? | s8 | 16 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedabcdbeebaa | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
(s8, 'c', s7)
(s7, 'd', s5)
(s5, 'b', s5)
(s5, 'e', s8)
(s8, 'e', s1)
(s1, 'b', s2)
(s2, 'a', s5)
(s5, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b a a ? |
12fdad43-6b44-4a95-8061-db7f029a401e | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b a ? | s5 | 15 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedabcdbeeba | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
(s8, 'c', s7)
(s7, 'd', s5)
(s5, 'b', s5)
(s5, 'e', s8)
(s8, 'e', s1)
(s1, 'b', s2)
(s2, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b a ? |
52159be0-5d09-4488-b707-aa69fd4531be | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b ? | s2 | 14 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedabcdbeeb | s2 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
(s8, 'c', s7)
(s7, 'd', s5)
(s5, 'b', s5)
(s5, 'e', s8)
(s8, 'e', s1)
(s1, 'b', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b ? |
887ba4c6-cd10-4d66-ad2a-1915184307e8 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e ? | s1 | 13 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedabcdbee | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
(s8, 'c', s7)
(s7, 'd', s5)
(s5, 'b', s5)
(s5, 'e', s8)
(s8, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e ? |
1129baf4-3eae-4606-aa10-bf9650db9dab | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e ? | s8 | 12 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedabcdbe | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
(s8, 'c', s7)
(s7, 'd', s5)
(s5, 'b', s5)
(s5, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e ? |
fc3a669b-67f7-4452-bb1b-611771afde43 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b ? | s5 | 11 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedabcdb | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
(s8, 'c', s7)
(s7, 'd', s5)
(s5, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b ? |
2e493dae-78cf-489e-a47b-584e2468c8c7 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d ? | s5 | 10 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedabcd | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
(s8, 'c', s7)
(s7, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d ? |
e0ef07eb-a9f7-478a-86e4-02481f8af529 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b a a e e c ? | s6 | 19 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedabcdbeebaaeec | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
(s8, 'c', s7)
(s7, 'd', s5)
(s5, 'b', s5)
(s5, 'e', s8)
(s8, 'e', s1)
(s1, 'b', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'e', s1)
(s1, 'e', s6)
(s6, 'c', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b a a e e c ? |
52afaa50-75ea-4c22-a951-fae8432c5bfe | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c ? | s7 | 9 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedabc | s7 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
(s8, 'c', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c ? |
4f59974e-1965-4eb8-87f2-007fbd4428c9 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b a a e e c b ? | s4 | 20 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedabcdbeebaaeecb | s4 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
(s8, 'c', s7)
(s7, 'd', s5)
(s5, 'b', s5)
(s5, 'e', s8)
(s8, 'e', s1)
(s1, 'b', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'e', s1)
(s1, 'e', s6)
(s6, 'c', s6)
(s6, 'b', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b a a e e c b ? |
ebb1515a-10b6-4812-ae24-de64036ff308 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a ? | s8 | 7 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceeda | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a ? |
0cc394d2-ca12-47dd-9838-4130fdc733f1 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d ? | s1 | 6 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceed | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d ? |
c2be1a36-4928-46be-8a31-eb1144fa98fa | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e ? | s4 | 5 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eecee | s4 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e ? |
d7bee5cf-c317-4919-961f-eec5ab668190 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e ? | s6 | 4 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eece | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e ? |
3fd0f72b-7e3c-44cd-a870-48c06fd15f1e | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c ? | s2 | 3 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eec | s2 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c ? |
f5768087-5211-4437-8e36-18e815c85639 | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e ? | s2 | 2 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | ee | s2 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e ? |
7184beac-fdb7-4b7d-8900-1e8931ba67fc | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b ? | s8 | 8 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedab | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b ? |
7dd6695e-f32c-44f5-a3af-d099a9b2bd6a | 35d4998b-79c0-4fbe-931f-fe0b3284c4fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s2", "s0", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s5","s3":"s2","s4":"s8","s5":"s8","s6":"s0","s7":"s8","s8":"s5"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s8"},"c":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s5","s5":"s6","s6":"s6","s7":"s4","s8":"s7"},"d":{"s0":"s7","s1":"s3","s2":"s1","s3":"s5","s4":"s1","s5":"s6","s6":"s6","s7":"s5","s8":"s0"},"e":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s8","s6":"s4","s7":"s2","s8":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s3","s6":"s2","s7":"s7","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b a a e ? | s1 | 17 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | eeceedabcdbeebaae | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s7)
(s7, 'e', s2)
(s2, 'c', s2)
(s2, 'e', s6)
(s6, 'e', s4)
(s4, 'd', s1)
(s1, 'a', s8)
(s8, 'b', s8)
(s8, 'c', s7)
(s7, 'd', s5)
(s5, 'b', s5)
(s5, 'e', s8)
(s8, 'e', s1)
(s1, 'b', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s7 s5 s8 s7 s7 s0
s1 s8 s2 s7 s3 s6 s1
s2 s5 s0 s2 s1 s6 s7
s3 s2 s1 s6 s5 s6 s7
s4 s8 s5 s5 s1 s6 s3
s5 s8 s5 s6 s6 s8 s3
s6 s0 s4 s6 s6 s4 s2
s7 s8 s7 s4 s5 s2 s7
s8 s5 s8 s7 s0 s1 s4
With the initial state: s0, and accepting states: ['s6', 's2', 's0', 's8', 's4'],
What will be the state after reading the following input: e e c e e d a b c d b e e b a a e ? |
1496837b-b44c-4a0a-a375-37c9ba84ff6d | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b b d d ? | s3 | 17 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfcaafffbbdd | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
(s2, 'a', s1)
(s1, 'a', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'b', s4)
(s4, 'b', s4)
(s4, 'd', s3)
(s3, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b b d d ? |
41663187-309e-4fc7-a797-45510a679c79 | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b ? | s0 | 1 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | b | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b ? |
697e8c87-a018-47c1-84dc-c4a213296256 | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b b d ? | s3 | 16 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfcaafffbbd | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
(s2, 'a', s1)
(s1, 'a', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'b', s4)
(s4, 'b', s4)
(s4, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b b d ? |
f7e1b61d-cfe6-4d2d-9967-da571dc16d17 | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b b ? | s4 | 15 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfcaafffbb | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
(s2, 'a', s1)
(s1, 'a', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'b', s4)
(s4, 'b', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b b ? |
81f423f4-da4a-48f0-8f99-d1bbe42ab653 | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b ? | s4 | 14 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfcaafffb | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
(s2, 'a', s1)
(s1, 'a', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'b', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b ? |
c316554f-a4a8-4c0a-b6d4-8d2ba7a5367d | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f ? | s7 | 13 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfcaafff | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
(s2, 'a', s1)
(s1, 'a', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'f', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f ? |
4b5e44d9-2f21-48d6-9bca-693b37efb134 | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f ? | s7 | 12 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfcaaff | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
(s2, 'a', s1)
(s1, 'a', s7)
(s7, 'f', s7)
(s7, 'f', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f ? |
8d2ce70c-f6e0-493a-a71f-fabc770147fe | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f ? | s7 | 11 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfcaaf | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
(s2, 'a', s1)
(s1, 'a', s7)
(s7, 'f', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f ? |
5f29f755-048e-4b46-8189-657562063164 | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b b d d f ? | s5 | 18 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfcaafffbbddf | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
(s2, 'a', s1)
(s1, 'a', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'b', s4)
(s4, 'b', s4)
(s4, 'd', s3)
(s3, 'd', s3)
(s3, 'f', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b b d d f ? |
e69bd29d-fa30-420c-bd4a-6ed7a1d63ddb | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a ? | s1 | 9 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfca | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
(s2, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a ? |
c423e678-f1b2-4492-8988-684a8a12da5b | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f ? | s6 | 7 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecf | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f ? |
16dade6d-6151-4cf2-81e9-13544c2cb148 | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c ? | s5 | 6 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaec | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c ? |
c95c5661-01ec-4c65-b5bd-d8b8ad204666 | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e ? | s8 | 5 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaae | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e ? |
553036be-404f-4057-8cfe-4dafe9d57215 | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a ? | s4 | 4 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaa | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a ? |
1dc85f96-2903-4e46-a098-8ca5850bd2da | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a ? | s4 | 3 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bda | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a ? |
0002a290-b06e-4317-974d-2dead4b18eed | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d ? | s5 | 2 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bd | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d ? |
1fd66167-793b-41e1-b1bb-2f429fba445f | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c ? | s2 | 8 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfc | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c ? |
ad4713cf-b8d6-48df-a111-950cbee86f79 | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a ? | s7 | 10 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfcaa | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
(s2, 'a', s1)
(s1, 'a', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a ? |
323da266-051d-4be7-a3d5-db21cdb94f27 | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b b d d f f a ? | s3 | 20 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfcaafffbbddffa | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
(s2, 'a', s1)
(s1, 'a', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'b', s4)
(s4, 'b', s4)
(s4, 'd', s3)
(s3, 'd', s3)
(s3, 'f', s5)
(s5, 'f', s6)
(s6, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b b d d f f a ? |
c891a25a-abad-4a4a-a34a-3ae11e8fc6ab | 6ded3726-96aa-435e-ab2b-54cb1c46196e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s7","s2":"s1","s3":"s4","s4":"s4","s5":"s4","s6":"s3","s7":"s6","s8":"s2"},"b":{"s0":"s0","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s6","s2":"s0","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s5","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s8","s6":"s4","s7":"s8","s8":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s4","s3":"s3","s4":"s8","s5":"s3","s6":"s3","s7":"s0","s8":"s1"},"f":{"s0":"s6","s1":"s4","s2":"s7","s3":"s5","s4":"s8","s5":"s6","s6":"s5","s7":"s7","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b b d d f f ? | s6 | 19 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bdaaecfcaafffbbddff | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'a', s4)
(s4, 'a', s4)
(s4, 'e', s8)
(s8, 'c', s5)
(s5, 'f', s6)
(s6, 'c', s2)
(s2, 'a', s1)
(s1, 'a', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'f', s7)
(s7, 'b', s4)
(s4, 'b', s4)
(s4, 'd', s3)
(s3, 'd', s3)
(s3, 'f', s5)
(s5, 'f', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s2 s0 s3 s5 s0 s6
s1 s7 s6 s6 s8 s5 s4
s2 s1 s2 s0 s0 s4 s7
s3 s4 s0 s3 s3 s3 s5
s4 s4 s4 s0 s3 s8 s8
s5 s4 s3 s3 s8 s3 s6
s6 s3 s7 s2 s4 s3 s5
s7 s6 s4 s2 s8 s0 s7
s8 s2 s7 s5 s5 s1 s7
With the initial state: s0, and accepting states: ['s0', 's2', 's5'],
What will be the state after reading the following input: b d a a e c f c a a f f f b b d d f f ? |
b80b7126-8528-4a4a-97f9-a983df8783ac | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f ? | s4 | 1 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | f | s4 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f ? |
62a6c552-fed7-4de6-98a9-4fa50122078c | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a ? | s0 | 2 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fa | s0 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a ? |
f53a8bca-156f-4262-b60a-12d75c18d2e4 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c f c e a e d ? | s4 | 20 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefefefcbcfceaed | s4 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
(s6, 'f', s0)
(s0, 'e', s5)
(s5, 'f', s0)
(s0, 'c', s4)
(s4, 'b', s5)
(s5, 'c', s0)
(s0, 'f', s4)
(s4, 'c', s4)
(s4, 'e', s6)
(s6, 'a', s1)
(s1, 'e', s4)
(s4, 'd', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c f c e a e d ? |
91b6dd80-50a4-40fe-a9f5-a17e00a04f48 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c f c e a e ? | s4 | 19 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefefefcbcfceae | s4 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
(s6, 'f', s0)
(s0, 'e', s5)
(s5, 'f', s0)
(s0, 'c', s4)
(s4, 'b', s5)
(s5, 'c', s0)
(s0, 'f', s4)
(s4, 'c', s4)
(s4, 'e', s6)
(s6, 'a', s1)
(s1, 'e', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c f c e a e ? |
aec2f1fe-2cb2-439d-a53e-1778c67bd701 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c f c e a ? | s1 | 18 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefefefcbcfcea | s1 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
(s6, 'f', s0)
(s0, 'e', s5)
(s5, 'f', s0)
(s0, 'c', s4)
(s4, 'b', s5)
(s5, 'c', s0)
(s0, 'f', s4)
(s4, 'c', s4)
(s4, 'e', s6)
(s6, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c f c e a ? |
19430ea2-2250-4e13-81cd-2c22c780e55c | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c f c e ? | s6 | 17 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefefefcbcfce | s6 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
(s6, 'f', s0)
(s0, 'e', s5)
(s5, 'f', s0)
(s0, 'c', s4)
(s4, 'b', s5)
(s5, 'c', s0)
(s0, 'f', s4)
(s4, 'c', s4)
(s4, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c f c e ? |
e6910938-9d2e-4834-8216-bb37ed35d461 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c f c ? | s4 | 16 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefefefcbcfc | s4 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
(s6, 'f', s0)
(s0, 'e', s5)
(s5, 'f', s0)
(s0, 'c', s4)
(s4, 'b', s5)
(s5, 'c', s0)
(s0, 'f', s4)
(s4, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c f c ? |
851c2b71-f0a9-42a9-8bc9-21e59db7e2c7 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c f ? | s4 | 15 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefefefcbcf | s4 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
(s6, 'f', s0)
(s0, 'e', s5)
(s5, 'f', s0)
(s0, 'c', s4)
(s4, 'b', s5)
(s5, 'c', s0)
(s0, 'f', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c f ? |
f44a7c97-5159-49d7-b7d0-cb957c6eb94a | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c ? | s0 | 14 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefefefcbc | s0 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
(s6, 'f', s0)
(s0, 'e', s5)
(s5, 'f', s0)
(s0, 'c', s4)
(s4, 'b', s5)
(s5, 'c', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b c ? |
de614ec9-5042-48be-a716-7ac481900948 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b ? | s5 | 13 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefefefcb | s5 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
(s6, 'f', s0)
(s0, 'e', s5)
(s5, 'f', s0)
(s0, 'c', s4)
(s4, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c b ? |
7b96622d-4def-442b-b103-03ed565666a4 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f ? | s0 | 11 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefefef | s0 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
(s6, 'f', s0)
(s0, 'e', s5)
(s5, 'f', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f ? |
ec8abf83-7710-4403-aafd-4b8fef2ff4fc | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e ? | s5 | 10 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefefe | s5 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
(s6, 'f', s0)
(s0, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e ? |
14663d7e-7708-47e9-8d01-97941c375e0f | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c ? | s4 | 12 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefefefc | s4 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
(s6, 'f', s0)
(s0, 'e', s5)
(s5, 'f', s0)
(s0, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f e f c ? |
66b7af41-7c41-41bc-a2d5-de548577fb88 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b ? | s0 | 4 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadb | s0 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b ? |
fd4d5536-5e49-4c8d-b404-68fe3f46d6e2 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b ? | s5 | 5 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbb | s5 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b ? |
f27025eb-0e70-4cc0-851d-575caa3e15d2 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d ? | s3 | 3 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fad | s3 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d ? |
c65736c3-87d4-4f04-abe4-dd66c421cb07 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f ? | s6 | 7 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbef | s6 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f ? |
72c4f433-82b2-4934-a481-41f68d275beb | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e ? | s6 | 8 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefe | s6 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e ? |
de11e856-b982-454e-81ed-eafa30a33300 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f ? | s0 | 9 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbefef | s0 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
(s2, 'f', s6)
(s6, 'e', s6)
(s6, 'f', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e f e f ? |
0c8cb9f1-2dea-4f2b-ad85-39868d8427c2 | 6fd5033b-9a2d-446d-af55-d8b8ef226a61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s1","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s6","s6":"s3","s7":"s6","s8":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s4","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s6","s4":"s4","s5":"s7","s6":"s5","s7":"s4","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s2","s6":"s6","s7":"s0","s8":"s3"},"f":{"s0":"s4","s1":"s2","s2":"s6","s3":"s8","s4":"s0","s5":"s0","s6":"s0","s7":"s8","s8":"s7"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e ? | s2 | 6 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | fadbbe | s2 | Transitions (current_state, input, next_state):
(s0, 'f', s4)
(s4, 'a', s0)
(s0, 'd', s3)
(s3, 'b', s0)
(s0, 'b', s5)
(s5, 'e', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s6 s5 s4 s3 s5 s4
s1 s0 s0 s7 s4 s4 s2
s2 s3 s1 s6 s7 s3 s6
s3 s4 s0 s7 s6 s2 s8
s4 s0 s5 s4 s4 s6 s0
s5 s6 s6 s0 s7 s2 s0
s6 s1 s3 s8 s5 s6 s0
s7 s8 s6 s7 s4 s0 s8
s8 s2 s2 s6 s8 s3 s7
With the initial state: s0, and accepting states: ['s1', 's2', 's8'],
What will be the state after reading the following input: f a d b b e ? |