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
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ? | s6 | 7 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagb | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ? |
9a3b18ff-79b2-4269-a4d1-804079db4483 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g ? | s6 | 6 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaag | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g ? |
55a51c93-d22b-4dcf-ac08-2e833042a515 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f ? | s6 | 2 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | af | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f ? |
14651926-0cb4-4710-a3ec-47601dac73bb | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a ? | s2 | 4 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afda | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a ? |
371d101e-668f-4241-b5c4-8bee39e712f1 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d ? | s2 | 3 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afd | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d ? |
11d453c1-903c-4e3f-86c6-2264703dab03 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f ? | s3 | 8 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbf | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
Final state: s3 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f ? |
debda641-efcb-451d-a5d9-f6275b5cf634 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a ? | s2 | 5 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaa | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a ? |
f6fc11f1-bad6-4eed-9a5d-92ed95dd3cf0 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a ? | s0 | 9 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbfa | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
(s3, 'a', s0)
Final state: s0 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a ? |
5d0d1586-397d-4435-8ad2-e069ba72b39d | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f ? | s5 | 14 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbfaeeaef | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
(s3, 'a', s0)
(s0, 'e', s4)
(s4, 'e', s0)
(s0, 'a', s5)
(s5, 'e', s4)
(s4, 'f', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f ? |
46a9cbb1-15a8-4f93-8242-fae04e7ea9bb | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e ? | s0 | 11 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbfaee | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
(s3, 'a', s0)
(s0, 'e', s4)
(s4, 'e', s0)
Final state: s0 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e ? |
70c13831-e360-45e5-bc38-291521662983 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a ? | s5 | 12 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbfaeea | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
(s3, 'a', s0)
(s0, 'e', s4)
(s4, 'e', s0)
(s0, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a ? |
b5ac6076-ccb3-41fe-a4c9-f2e477c59ba5 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e ? | s4 | 13 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbfaeeae | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
(s3, 'a', s0)
(s0, 'e', s4)
(s4, 'e', s0)
(s0, 'a', s5)
(s5, 'e', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e ? |
a77ba08c-2be4-4833-a8ab-85d569fc0a1a | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f c ? | s2 | 15 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbfaeeaefc | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
(s3, 'a', s0)
(s0, 'e', s4)
(s4, 'e', s0)
(s0, 'a', s5)
(s5, 'e', s4)
(s4, 'f', s5)
(s5, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f c ? |
d03ea2f6-1ac7-420a-b68d-5750a31d36a4 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f c c ? | s6 | 16 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbfaeeaefcc | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
(s3, 'a', s0)
(s0, 'e', s4)
(s4, 'e', s0)
(s0, 'a', s5)
(s5, 'e', s4)
(s4, 'f', s5)
(s5, 'c', s2)
(s2, 'c', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f c c ? |
eda073af-25cd-42c1-904a-e8bb2decbaab | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f c c c ? | s5 | 17 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbfaeeaefccc | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
(s3, 'a', s0)
(s0, 'e', s4)
(s4, 'e', s0)
(s0, 'a', s5)
(s5, 'e', s4)
(s4, 'f', s5)
(s5, 'c', s2)
(s2, 'c', s6)
(s6, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f c c c ? |
d0f32c8c-ca6e-4217-af5c-24ef10a75ce7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f c c c g ? | s5 | 18 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbfaeeaefcccg | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
(s3, 'a', s0)
(s0, 'e', s4)
(s4, 'e', s0)
(s0, 'a', s5)
(s5, 'e', s4)
(s4, 'f', s5)
(s5, 'c', s2)
(s2, 'c', s6)
(s6, 'c', s5)
(s5, 'g', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f c c c g ? |
5410251b-0d2b-45d8-b37f-4f2f6a73e307 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a ? | s5 | 1 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | a | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a ? |
3a238380-76d2-4c31-a87c-8ac5a77d8211 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e ? | s4 | 10 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbfae | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
(s3, 'a', s0)
(s0, 'e', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e ? |
fb4b5b95-a761-4c9f-8c56-9f91ef01e5e8 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f c c c g e ? | s4 | 19 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbfaeeaefcccge | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
(s3, 'a', s0)
(s0, 'e', s4)
(s4, 'e', s0)
(s0, 'a', s5)
(s5, 'e', s4)
(s4, 'f', s5)
(s5, 'c', s2)
(s2, 'c', s6)
(s6, 'c', s5)
(s5, 'g', s5)
(s5, 'e', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f c c c g e ? |
3be73a80-b955-4333-a05e-1ee5ab02c040 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f c c c g e g ? | s4 | 20 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | afdaagbfaeeaefcccgeg | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
(s6, 'f', s3)
(s3, 'a', s0)
(s0, 'e', s4)
(s4, 'e', s0)
(s0, 'a', s5)
(s5, 'e', s4)
(s4, 'f', s5)
(s5, 'c', s2)
(s2, 'c', s6)
(s6, 'c', s5)
(s5, 'g', s5)
(s5, 'e', s4)
(s4, 'g', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b f a e e a e f c c c g e g ? |
bdf81377-8902-4eab-a619-f10c3be07736 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c b b e f f c ? | s2 | 20 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaaffddacbbeffc | s2 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
(s8, 'f', s2)
(s2, 'f', s8)
(s8, 'd', s3)
(s3, 'd', s1)
(s1, 'a', s0)
(s0, 'c', s7)
(s7, 'b', s6)
(s6, 'b', s8)
(s8, 'e', s4)
(s4, 'f', s8)
(s8, 'f', s2)
(s2, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c b b e f f c ? |
666326ef-65ac-4e8f-80c6-0c25626dd629 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c b b e ? | s4 | 17 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaaffddacbbe | s4 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
(s8, 'f', s2)
(s2, 'f', s8)
(s8, 'd', s3)
(s3, 'd', s1)
(s1, 'a', s0)
(s0, 'c', s7)
(s7, 'b', s6)
(s6, 'b', s8)
(s8, 'e', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c b b e ? |
ae7d8737-64ee-4b6c-ade2-4fb28e7db636 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c b b ? | s8 | 16 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaaffddacbb | s8 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
(s8, 'f', s2)
(s2, 'f', s8)
(s8, 'd', s3)
(s3, 'd', s1)
(s1, 'a', s0)
(s0, 'c', s7)
(s7, 'b', s6)
(s6, 'b', s8)
Final state: s8 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c b b ? |
ba84444c-52fd-45dd-89b0-ec82db884296 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c b ? | s6 | 15 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaaffddacb | s6 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
(s8, 'f', s2)
(s2, 'f', s8)
(s8, 'd', s3)
(s3, 'd', s1)
(s1, 'a', s0)
(s0, 'c', s7)
(s7, 'b', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c b ? |
d9926102-2a71-4815-87f0-30e60f268a56 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c ? | s7 | 14 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaaffddac | s7 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
(s8, 'f', s2)
(s2, 'f', s8)
(s8, 'd', s3)
(s3, 'd', s1)
(s1, 'a', s0)
(s0, 'c', s7)
Final state: s7 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c ? |
5373b282-78f4-4465-b208-877f9b3b9ca9 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a ? | s0 | 13 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaaffdda | s0 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
(s8, 'f', s2)
(s2, 'f', s8)
(s8, 'd', s3)
(s3, 'd', s1)
(s1, 'a', s0)
Final state: s0 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a ? |
8ba3ffd4-90f4-4f33-8ac3-693ff57847f4 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d ? | s1 | 12 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaaffdd | s1 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
(s8, 'f', s2)
(s2, 'f', s8)
(s8, 'd', s3)
(s3, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d ? |
b19ae473-2363-4460-a134-71406b988f05 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d ? | s3 | 11 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaaffd | s3 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
(s8, 'f', s2)
(s2, 'f', s8)
(s8, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d ? |
4c2e0bb6-7aef-43d9-afa0-627b8a5fd0c0 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c b b e f ? | s8 | 18 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaaffddacbbef | s8 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
(s8, 'f', s2)
(s2, 'f', s8)
(s8, 'd', s3)
(s3, 'd', s1)
(s1, 'a', s0)
(s0, 'c', s7)
(s7, 'b', s6)
(s6, 'b', s8)
(s8, 'e', s4)
(s4, 'f', s8)
Final state: s8 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c b b e f ? |
ba877c84-d444-4048-9f97-0681c0a5fa38 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c b b e f f ? | s2 | 19 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaaffddacbbeff | s2 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
(s8, 'f', s2)
(s2, 'f', s8)
(s8, 'd', s3)
(s3, 'd', s1)
(s1, 'a', s0)
(s0, 'c', s7)
(s7, 'b', s6)
(s6, 'b', s8)
(s8, 'e', s4)
(s4, 'f', s8)
(s8, 'f', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f d d a c b b e f f ? |
b5c3b2a6-28b8-4685-8bd9-a6222d00c048 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f ? | s2 | 9 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaaf | s2 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
(s8, 'f', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f ? |
2b95d8ff-451a-4334-a552-1e8335de5e48 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a ? | s8 | 8 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaa | s8 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a ? |
1d02579f-c387-46d4-b3a4-931c6351bfe7 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a ? | s5 | 7 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbea | s5 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a ? |
75a5010c-1baa-42dd-8a81-29883656157c | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e ? | s4 | 6 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbe | s4 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e ? |
d793f60e-7ec2-417a-a655-a2e08e9856c8 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b ? | s8 | 5 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagb | s8 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
Final state: s8 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b ? |
ec76ff8b-1b12-44f3-b143-95f00881a4f8 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g ? | s0 | 4 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgag | s0 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
Final state: s0 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g ? |
e99f4cd4-480d-435c-b7f6-38b7b56ad536 | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a ? | s6 | 3 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fga | s6 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a ? |
db03ea66-e3b8-4251-9d0f-51a776ac75de | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f ? | s8 | 10 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fgagbeaaff | s8 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
(s7, 'a', s6)
(s6, 'g', s0)
(s0, 'b', s8)
(s8, 'e', s4)
(s4, 'a', s5)
(s5, 'a', s8)
(s8, 'f', s2)
(s2, 'f', s8)
Final state: s8 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g a g b e a a f f ? |
09c3b2ca-028b-4b48-bf09-82b9c01d6cae | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g ? | s7 | 2 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | fg | s7 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
(s2, 'g', s7)
Final state: s7 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f g ? |
f04c34a1-6375-4604-a2b7-7230ce09141e | 6a5f68b7-f777-422b-b895-5c19db6c38bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s6","s8":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s0","s4":"s3","s5":"s6","s6":"s8","s7":"s6","s8":"s7"},"c":{"s0":"s7","s1":"s7","s2":"s2","s3":"s1","s4":"s7","s5":"s5","s6":"s3","s7":"s4","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s7","s3":"s6","s4":"s3","s5":"s4","s6":"s5","s7":"s3","s8":"s4"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s8","s5":"s7","s6":"s8","s7":"s4","s8":"s2"},"g":{"s0":"s2","s1":"s5","s2":"s7","s3":"s8","s4":"s4","s5":"s2","s6":"s0","s7":"s0","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f ? | s2 | 1 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | f | s2 | Transitions (current_state, input, next_state):
(s0, 'f', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s2 s8 s7 s6 s4 s2 s2
s1 s0 s3 s7 s7 s0 s8 s5
s2 s3 s5 s2 s0 s7 s8 s7
s3 s3 s0 s1 s1 s6 s6 s8
s4 s5 s3 s7 s7 s3 s8 s4
s5 s8 s6 s5 s6 s4 s7 s2
s6 s0 s8 s3 s2 s5 s8 s0
s7 s6 s6 s4 s7 s3 s4 s0
s8 s6 s7 s6 s3 s4 s2 s5
With the initial state: s0, and accepting states: ['s6'],
What will be the state after reading the following input: f ? |
d0dd99fb-7d23-42cc-98fa-22f53d6642e0 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g ? | s4 | 1 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | g | s4 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g ? |
b0bfe2d0-dd31-4db1-979d-3fc7b6fec76b | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b d e b f b c ? | s2 | 20 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgefccffabdebfbc | s2 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
(s2, 'c', s2)
(s2, 'c', s2)
(s2, 'f', s4)
(s4, 'f', s1)
(s1, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s4)
(s4, 'e', s0)
(s0, 'b', s7)
(s7, 'f', s3)
(s3, 'b', s5)
(s5, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b d e b f b c ? |
a42a0b75-8b59-4843-8d42-30842e5bd977 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b d e b f b ? | s5 | 19 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgefccffabdebfb | s5 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
(s2, 'c', s2)
(s2, 'c', s2)
(s2, 'f', s4)
(s4, 'f', s1)
(s1, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s4)
(s4, 'e', s0)
(s0, 'b', s7)
(s7, 'f', s3)
(s3, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b d e b f b ? |
e6169a33-d776-4af2-bef2-fa34af651203 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b d e b f ? | s3 | 18 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgefccffabdebf | s3 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
(s2, 'c', s2)
(s2, 'c', s2)
(s2, 'f', s4)
(s4, 'f', s1)
(s1, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s4)
(s4, 'e', s0)
(s0, 'b', s7)
(s7, 'f', s3)
Final state: s3 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b d e b f ? |
900620b6-7e3d-4ddd-83ef-844d2d7ce5d0 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b d e b ? | s7 | 17 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgefccffabdeb | s7 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
(s2, 'c', s2)
(s2, 'c', s2)
(s2, 'f', s4)
(s4, 'f', s1)
(s1, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s4)
(s4, 'e', s0)
(s0, 'b', s7)
Final state: s7 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b d e b ? |
c155c92a-0e71-4c74-85ce-428706d04a38 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b d e ? | s0 | 16 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgefccffabde | s0 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
(s2, 'c', s2)
(s2, 'c', s2)
(s2, 'f', s4)
(s4, 'f', s1)
(s1, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s4)
(s4, 'e', s0)
Final state: s0 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b d e ? |
d9463dcf-a37b-440c-b75c-a3ce1658d94f | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b d ? | s4 | 15 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgefccffabd | s4 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
(s2, 'c', s2)
(s2, 'c', s2)
(s2, 'f', s4)
(s4, 'f', s1)
(s1, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b d ? |
c06766f2-1dd8-41e4-8105-38d04683f604 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b ? | s4 | 14 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgefccffab | s4 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
(s2, 'c', s2)
(s2, 'c', s2)
(s2, 'f', s4)
(s4, 'f', s1)
(s1, 'a', s5)
(s5, 'b', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a b ? |
f11c3b41-e064-40ec-a9dc-336c926f668e | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a ? | s5 | 13 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgefccffa | s5 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
(s2, 'c', s2)
(s2, 'c', s2)
(s2, 'f', s4)
(s4, 'f', s1)
(s1, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f a ? |
2dbf956c-7815-431f-9ab3-4aca00542d1d | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f ? | s1 | 12 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgefccff | s1 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
(s2, 'c', s2)
(s2, 'c', s2)
(s2, 'f', s4)
(s4, 'f', s1)
Final state: s1 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f f ? |
b1e46719-b374-4965-959e-beb8217f85fc | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f ? | s4 | 11 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgefccf | s4 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
(s2, 'c', s2)
(s2, 'c', s2)
(s2, 'f', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c f ? |
6283ba7a-8be5-4e33-bd38-e3e212cad318 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c ? | s2 | 10 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgefcc | s2 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
(s2, 'c', s2)
(s2, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c c ? |
798b8264-c61c-4d40-8e94-2f050367e011 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c ? | s2 | 9 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgefc | s2 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
(s2, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f c ? |
9b6ad6a1-188c-4e6d-ac76-7d6915e42aa5 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f ? | s2 | 8 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbgef | s2 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
(s5, 'f', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e f ? |
adb9efbd-1a20-418d-96f5-667eff256630 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e ? | s5 | 7 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbge | s5 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
(s6, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g e ? |
4a33d817-49d8-483b-a93f-6cd259b13c1a | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g ? | s6 | 6 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfbg | s6 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
(s6, 'g', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b g ? |
abca583c-6680-48bc-b2a3-f54f202fa436 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b ? | s6 | 5 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedfb | s6 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
(s2, 'b', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f b ? |
2c08e03c-522d-4b0d-969a-35decb86f299 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f ? | s2 | 4 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | gedf | s2 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
(s5, 'f', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d f ? |
7c20c6e1-4089-4551-85b8-26939c3a4fd0 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d ? | s5 | 3 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | ged | s5 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
(s0, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e d ? |
6a3ad26e-11b7-49e1-bb41-c71292f70779 | 83ed5878-4f03-4d4a-9302-bf66a0bcd4fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s0", "s4", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s1","s8":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s5","s4":"s5","s5":"s4","s6":"s6","s7":"s6","s8":"s6"},"c":{"s0":"s3","s1":"s2","s2":"s2","s3":"s7","s4":"s2","s5":"s2","s6":"s7","s7":"s2","s8":"s4"},"d":{"s0":"s5","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s0","s6":"s0","s7":"s6","s8":"s3"},"e":{"s0":"s1","s1":"s3","s2":"s5","s3":"s7","s4":"s0","s5":"s5","s6":"s5","s7":"s1","s8":"s5"},"f":{"s0":"s7","s1":"s4","s2":"s4","s3":"s3","s4":"s1","s5":"s2","s6":"s2","s7":"s3","s8":"s8"},"g":{"s0":"s4","s1":"s5","s2":"s7","s3":"s4","s4":"s8","s5":"s7","s6":"s6","s7":"s4","s8":"s2"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e ? | s0 | 2 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | ge | s0 | Transitions (current_state, input, next_state):
(s0, 'g', s4)
(s4, 'e', s0)
Final state: s0 | Given the following FSM:
a b c d e f g
s0 s6 s7 s3 s5 s1 s7 s4
s1 s5 s6 s2 s1 s3 s4 s5
s2 s8 s6 s2 s5 s5 s4 s7
s3 s3 s5 s7 s1 s7 s3 s4
s4 s3 s5 s2 s4 s0 s1 s8
s5 s1 s4 s2 s0 s5 s2 s7
s6 s1 s6 s7 s0 s5 s2 s6
s7 s1 s6 s2 s6 s1 s3 s4
s8 s7 s6 s4 s3 s5 s8 s2
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's0', 's4', 's1', 's3'],
What will be the state after reading the following input: g e ? |
9eb4a7d6-4e64-48f6-b5e5-6dd36dfe7e6c | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d ? | s8 | 12 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfdfdad | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
(s2, 'f', s3)
(s3, 'd', s8)
(s8, 'a', s3)
(s3, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d ? |
5695bfc2-b27f-4843-aa9e-5573df11a050 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b ? | s2 | 3 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eab | s2 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b ? |
83cd6043-af24-4ddd-a5d1-df64c34408b4 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c b f e e b g ? | s3 | 20 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfdfdadgcbfeebg | s3 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
(s2, 'f', s3)
(s3, 'd', s8)
(s8, 'a', s3)
(s3, 'd', s8)
(s8, 'g', s8)
(s8, 'c', s6)
(s6, 'b', s5)
(s5, 'f', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'b', s0)
(s0, 'g', s3)
Final state: s3 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c b f e e b g ? |
53c07b1d-a0b1-4057-bfa9-dfdfe2db09a0 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c b f e e b ? | s0 | 19 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfdfdadgcbfeeb | s0 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
(s2, 'f', s3)
(s3, 'd', s8)
(s8, 'a', s3)
(s3, 'd', s8)
(s8, 'g', s8)
(s8, 'c', s6)
(s6, 'b', s5)
(s5, 'f', s7)
(s7, 'e', s7)
(s7, 'e', s7)
(s7, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c b f e e b ? |
6e082ba1-2f4a-439f-94ab-8bfe16acc726 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c b f e e ? | s7 | 18 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfdfdadgcbfee | s7 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
(s2, 'f', s3)
(s3, 'd', s8)
(s8, 'a', s3)
(s3, 'd', s8)
(s8, 'g', s8)
(s8, 'c', s6)
(s6, 'b', s5)
(s5, 'f', s7)
(s7, 'e', s7)
(s7, 'e', s7)
Final state: s7 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c b f e e ? |
44664a4b-1e03-4e7a-8400-baae82d8bddb | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c b f e ? | s7 | 17 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfdfdadgcbfe | s7 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
(s2, 'f', s3)
(s3, 'd', s8)
(s8, 'a', s3)
(s3, 'd', s8)
(s8, 'g', s8)
(s8, 'c', s6)
(s6, 'b', s5)
(s5, 'f', s7)
(s7, 'e', s7)
Final state: s7 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c b f e ? |
c2168470-8b1f-4e98-896f-5e609065224f | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c b f ? | s7 | 16 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfdfdadgcbf | s7 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
(s2, 'f', s3)
(s3, 'd', s8)
(s8, 'a', s3)
(s3, 'd', s8)
(s8, 'g', s8)
(s8, 'c', s6)
(s6, 'b', s5)
(s5, 'f', s7)
Final state: s7 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c b f ? |
4ce24192-b916-4bdb-90c8-52c53e516554 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c b ? | s5 | 15 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfdfdadgcb | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
(s2, 'f', s3)
(s3, 'd', s8)
(s8, 'a', s3)
(s3, 'd', s8)
(s8, 'g', s8)
(s8, 'c', s6)
(s6, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c b ? |
f867be0c-9451-4444-b7b4-f8a334c4dd6d | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c ? | s6 | 14 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfdfdadgc | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
(s2, 'f', s3)
(s3, 'd', s8)
(s8, 'a', s3)
(s3, 'd', s8)
(s8, 'g', s8)
(s8, 'c', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g c ? |
bb51c348-a26b-4b20-a2bb-dbb43e75e69b | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a ? | s3 | 2 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | ea | s3 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a ? |
e57e1a32-ffdb-4a94-b7f4-ed92e2c86030 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g ? | s8 | 13 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfdfdadg | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
(s2, 'f', s3)
(s3, 'd', s8)
(s8, 'a', s3)
(s3, 'd', s8)
(s8, 'g', s8)
Final state: s8 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a d g ? |
1d6bab77-530f-4c3e-9086-6f97b5857329 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d ? | s8 | 10 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfdfd | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
(s2, 'f', s3)
(s3, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d ? |
79f91acc-0015-4cd9-934c-c1ebc22fb4a2 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f ? | s3 | 9 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfdf | s3 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
(s2, 'f', s3)
Final state: s3 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f ? |
f0b8cc1a-4490-4461-899b-5c65686e9913 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d ? | s2 | 8 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfd | s2 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d ? |
c05ed237-5c28-4dd8-8283-7a1838c47df5 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f ? | s0 | 7 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagf | s0 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
Final state: s0 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f ? |
eab8473b-118e-4ef7-9743-a246f6a88047 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g ? | s6 | 6 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdag | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g ? |
4aeb3b56-a898-480d-a969-ea2bb2e84f66 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a ? | s1 | 5 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabda | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a ? |
52757873-a51c-4c4c-b42c-93ad2af5c970 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d ? | s7 | 4 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabd | s7 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d ? |
7f195bc2-c78c-4bac-b3f1-004e23ed9d16 | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a ? | s3 | 11 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | eabdagfdfda | s3 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
(s3, 'a', s3)
(s3, 'b', s2)
(s2, 'd', s7)
(s7, 'a', s1)
(s1, 'g', s6)
(s6, 'f', s0)
(s0, 'd', s2)
(s2, 'f', s3)
(s3, 'd', s8)
(s8, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e a b d a g f d f d a ? |
c2edd52f-e9db-4f99-bdb4-5a4ded7c696e | 94983e24-b4cd-445e-bbe4-bcdb7a59c088 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s3","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s1"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s3","s8":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s7","s3":"s8","s4":"s2","s5":"s3","s6":"s6","s7":"s0","s8":"s8"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s7","s5":"s1","s6":"s4","s7":"s7","s8":"s1"},"f":{"s0":"s0","s1":"s4","s2":"s3","s3":"s5","s4":"s0","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"g":{"s0":"s3","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s6","s6":"s4","s7":"s0","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e ? | s3 | 1 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | e | s3 | Transitions (current_state, input, next_state):
(s0, 'e', s3)
Final state: s3 | Given the following FSM:
a b c d e f g
s0 s6 s2 s0 s2 s3 s0 s3
s1 s4 s3 s7 s6 s2 s4 s6
s2 s6 s7 s3 s7 s3 s3 s8
s3 s3 s2 s7 s8 s4 s5 s7
s4 s1 s1 s1 s2 s7 s0 s1
s5 s1 s8 s4 s3 s1 s7 s6
s6 s3 s5 s2 s6 s4 s0 s4
s7 s1 s0 s3 s0 s7 s1 s0
s8 s3 s1 s6 s8 s1 s3 s8
With the initial state: s0, and accepting states: ['s7', 's8', 's5', 's1'],
What will be the state after reading the following input: e ? |
c920c9ab-6a03-4f4b-92ff-ba39f829f8a1 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c ? | s7 | 1 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | c | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
Final state: s7 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c ? |
4ea590a6-ffa7-4f45-95a9-3f9dac337fa4 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c ? | s5 | 11 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfecdc | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
(s6, 'c', s0)
(s0, 'd', s5)
(s5, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c ? |
3143761d-44dd-40aa-8ec8-7dd9d9430366 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a d e c f ? | s4 | 18 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfecdcffadecf | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
(s6, 'c', s0)
(s0, 'd', s5)
(s5, 'c', s5)
(s5, 'f', s6)
(s6, 'f', s5)
(s5, 'a', s8)
(s8, 'd', s5)
(s5, 'e', s6)
(s6, 'c', s0)
(s0, 'f', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a d e c f ? |
283207c6-e056-421f-a7b7-a716e1fdea9a | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a d e c ? | s0 | 17 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfecdcffadec | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
(s6, 'c', s0)
(s0, 'd', s5)
(s5, 'c', s5)
(s5, 'f', s6)
(s6, 'f', s5)
(s5, 'a', s8)
(s8, 'd', s5)
(s5, 'e', s6)
(s6, 'c', s0)
Final state: s0 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a d e c ? |
1b92c85b-89e8-4eb6-8e05-a2cf951ee936 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a d e ? | s6 | 16 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfecdcffade | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
(s6, 'c', s0)
(s0, 'd', s5)
(s5, 'c', s5)
(s5, 'f', s6)
(s6, 'f', s5)
(s5, 'a', s8)
(s8, 'd', s5)
(s5, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a d e ? |
f72ace8a-e853-4980-b793-c2ecd958a85b | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a d ? | s5 | 15 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfecdcffad | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
(s6, 'c', s0)
(s0, 'd', s5)
(s5, 'c', s5)
(s5, 'f', s6)
(s6, 'f', s5)
(s5, 'a', s8)
(s8, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a d ? |
8a468977-5b55-47f1-9d7b-7cccd3886f40 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a ? | s8 | 14 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfecdcffa | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
(s6, 'c', s0)
(s0, 'd', s5)
(s5, 'c', s5)
(s5, 'f', s6)
(s6, 'f', s5)
(s5, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a ? |
adb1904a-972f-448e-80c0-7065ddd14935 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f ? | s5 | 13 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfecdcff | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
(s6, 'c', s0)
(s0, 'd', s5)
(s5, 'c', s5)
(s5, 'f', s6)
(s6, 'f', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f ? |
8be748dd-e320-4420-bcdd-c3f449632aef | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f ? | s6 | 12 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfecdcf | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
(s6, 'c', s0)
(s0, 'd', s5)
(s5, 'c', s5)
(s5, 'f', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f ? |
2b0db04f-f461-4d9f-b4aa-1b5655491d49 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a d e c f d ? | s4 | 19 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfecdcffadecfd | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
(s6, 'c', s0)
(s0, 'd', s5)
(s5, 'c', s5)
(s5, 'f', s6)
(s6, 'f', s5)
(s5, 'a', s8)
(s8, 'd', s5)
(s5, 'e', s6)
(s6, 'c', s0)
(s0, 'f', s4)
(s4, 'd', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a d e c f d ? |
fbe86ef4-ebd4-413c-8faf-b63ef2e09b37 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d ? | s5 | 10 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfecd | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
(s6, 'c', s0)
(s0, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d ? |
166678c5-5313-4f1b-a776-3561b155f72e | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e ? | s6 | 8 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfe | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e ? |
31a49104-c56d-4c4b-a215-d5fa8211f084 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f ? | s4 | 7 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbf | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f ? |
55211177-f6d3-4c83-b68b-c7b154b1bd51 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b ? | s4 | 6 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgb | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b ? |
14118228-671f-4683-affa-0b3ddf0f59e3 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g ? | s0 | 5 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdg | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
Final state: s0 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g ? |
f7d9056b-71d7-475d-90ab-48caa64605c8 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d ? | s3 | 4 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcd | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d ? |
a428b274-d52f-4833-b75c-abf16b14bc65 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c ? | s3 | 3 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgc | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c ? |
27ed9edc-bd5c-46c2-a18f-78bbf5079593 | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g ? | s8 | 2 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cg | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
Final state: s8 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g ? |
14aafd48-69a3-4eb0-84b5-28118c841d8f | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c ? | s0 | 9 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfec | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
(s6, 'c', s0)
Final state: s0 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c ? |
c2ef4365-ce05-46de-89b6-ebead1194c5a | 964ce84f-8402-426f-a68f-4ca5c37ef4e0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s6", "s4", "s3", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s8","s1":"s8","s2":"s7","s3":"s2","s4":"s5","s5":"s8","s6":"s1","s7":"s5","s8":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s4","s3":"s0","s4":"s7","s5":"s5","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s3","s4":"s4","s5":"s0","s6":"s6","s7":"s8","s8":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s6","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s4","s5":"s6","s6":"s5","s7":"s8","s8":"s5"},"g":{"s0":"s4","s1":"s3","s2":"s3","s3":"s0","s4":"s7","s5":"s3","s6":"s0","s7":"s8","s8":"s4"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2
Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a d e c f d b ? | s2 | 20 | 9 | 7 | 9_7 | 2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | cgcdgbfecdcffadecfdb | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s7)
(s7, 'g', s8)
(s8, 'c', s3)
(s3, 'd', s3)
(s3, 'g', s0)
(s0, 'b', s4)
(s4, 'f', s4)
(s4, 'e', s6)
(s6, 'c', s0)
(s0, 'd', s5)
(s5, 'c', s5)
(s5, 'f', s6)
(s6, 'f', s5)
(s5, 'a', s8)
(s8, 'd', s5)
(s5, 'e', s6)
(s6, 'c', s0)
(s0, 'f', s4)
(s4, 'd', s4)
(s4, 'b', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s8 s4 s7 s5 s6 s4 s4
s1 s8 s1 s0 s2 s8 s4 s3
s2 s7 s2 s4 s6 s6 s6 s3
s3 s2 s4 s0 s3 s0 s3 s0
s4 s5 s2 s7 s4 s6 s4 s7
s5 s8 s3 s5 s0 s6 s6 s3
s6 s1 s0 s0 s6 s5 s5 s0
s7 s5 s4 s1 s8 s8 s8 s8
s8 s3 s5 s3 s5 s6 s5 s4
With the initial state: s0, and accepting states: ['s0', 's7', 's6', 's4', 's3', 's1', 's5', 's8', 's2'],
What will be the state after reading the following input: c g c d g b f e c d c f f a d e c f d b ? |