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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
c02d9186-3f29-4a46-b192-e5469fe10255 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b ? | s8 | 1 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | b | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
Final state: s8 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b ? |
3f0cabcb-7bf2-41fd-8e3d-dc17234143ba | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b a b a b a ? | s9 | 19 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaaabbbabababa | s9 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
(s5, 'a', s5)
(s5, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'b', s1)
(s1, 'a', s9)
Final state: s9 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b a b a b a ? |
30140e6f-6187-497f-b018-7a621adda177 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a ? | s7 | 3 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baa | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
Final state: s7 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a ? |
e00dd62a-188e-4ce9-afe6-37ec90f95504 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a ? | s3 | 4 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaa | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
Final state: s3 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a ? |
7a7d0c67-e197-4690-852c-b25c366a1108 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b ? | s10 | 5 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaab | s10 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
Final state: s10 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b ? |
ce1d56b4-9309-460e-9ba5-b4cb94395b41 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b ? | s6 | 6 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabb | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
Final state: s6 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b ? |
8616845b-e782-423a-93e4-c9baf0102c07 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a ? | s5 | 7 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabba | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a ? |
7e432370-db84-42a6-a6a6-71a2ab85b503 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a ? | s5 | 8 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaa | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a ? |
f8652215-62fd-4122-a8d4-89edb4ee3fd0 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a ? | s5 | 9 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaaa | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
(s5, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a ? |
a9b071d5-fb8d-484e-9eee-6c290f684cde | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a ? | s2 | 2 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | ba | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
Final state: s2 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a ? |
d75ec8ed-212f-4101-9ffa-d20446a9d365 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b ? | s1 | 10 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaaab | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
(s5, 'a', s5)
(s5, 'b', s1)
Final state: s1 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b ? |
5e416c31-7cdf-49b8-8ec9-5382f7e23fa4 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b ? | s2 | 12 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaaabbb | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
(s5, 'a', s5)
(s5, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s2)
Final state: s2 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b ? |
00baa45b-d8a2-4774-9a91-27db0094f287 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a ? | s7 | 13 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaaabbba | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
(s5, 'a', s5)
(s5, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s2)
(s2, 'a', s7)
Final state: s7 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a ? |
721f3e9a-b880-43a9-b66f-dfd233614177 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b ? | s10 | 14 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaaabbbab | s10 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
(s5, 'a', s5)
(s5, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s10)
Final state: s10 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b ? |
90bc09e3-5b75-4146-84e1-c8b0d46ac1a7 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b a ? | s10 | 15 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaaabbbaba | s10 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
(s5, 'a', s5)
(s5, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s10)
(s10, 'a', s10)
Final state: s10 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b a ? |
175dc2b7-377c-4320-859f-76547f659d40 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b a b ? | s6 | 16 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaaabbbabab | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
(s5, 'a', s5)
(s5, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s10)
(s10, 'a', s10)
(s10, 'b', s6)
Final state: s6 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b a b ? |
38daa1a0-e7dd-4f81-82bc-527de1361b36 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b a b a ? | s5 | 17 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaaabbbababa | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
(s5, 'a', s5)
(s5, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b a b a ? |
88e6a6d8-f83d-426e-9b1e-c32a1cc671c4 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b a b a b ? | s1 | 18 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaaabbbababab | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
(s5, 'a', s5)
(s5, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'b', s1)
Final state: s1 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b a b a b ? |
97638a70-f141-4a2a-a0d2-a65f346cb620 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b ? | s6 | 11 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaaabb | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
(s5, 'a', s5)
(s5, 'b', s1)
(s1, 'b', s6)
Final state: s6 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b ? |
346cbcdf-94fc-4462-a5e0-5be50496dc79 | 5b2a6772-fe6d-4cb1-a213-cb8c62812ee9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s6", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s7","s3":"s7","s5":"s5","s6":"s5","s7":"s3","s8":"s2","s9":"s9","s10":"s10"},"b":{"s0":"s8","s1":"s6","s2":"s0","s3":"s10","s5":"s1","s6":"s2","s7":"s10","s8":"s6","s9":"s6","s10":"s6"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b a b a b a a ? | s9 | 20 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabbaaabbbabababaa | s9 | Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s2)
(s2, 'a', s7)
(s7, 'a', s3)
(s3, 'b', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'a', s5)
(s5, 'a', s5)
(s5, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s9)
Final state: s9 | Given the following FSM:
a b
s0 s0 s8
s1 s9 s6
s2 s7 s0
s3 s7 s10
s5 s5 s1
s6 s5 s2
s7 s3 s10
s8 s2 s6
s9 s9 s6
s10 s10 s6
With the initial state: s0, and accepting states: ['s6', 's10', 's5'],
What will be the state after reading the following input: b a a a b b a a a b b b a b a b a b a a ? |
1ec1c0dc-b6c2-4d92-b8ff-9097d673b133 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b ? | s5 | 1 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | b | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
Final state: s5 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b ? |
f5d91465-1e06-445e-91db-c87ef7ae0256 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a ? | s10 | 11 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaaaaa | s10 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
Final state: s10 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a ? |
85eafb89-ebfe-4135-9693-1d57268a5be8 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a b a b b ? | s7 | 18 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaaaaabbababb | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'b', s6)
(s6, 'a', s11)
(s11, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s7)
(s7, 'b', s7)
Final state: s7 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a b a b b ? |
7cea161c-9edc-49f1-ae7a-837db07224c8 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a b a b ? | s7 | 17 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaaaaabbabab | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'b', s6)
(s6, 'a', s11)
(s11, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s7)
Final state: s7 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a b a b ? |
034019a6-a827-4f23-91ac-df124e71644e | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a b a ? | s5 | 16 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaaaaabbaba | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'b', s6)
(s6, 'a', s11)
(s11, 'b', s1)
(s1, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a b a ? |
4543d225-ef0c-43ac-ab82-c9ef0657341e | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a b ? | s1 | 15 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaaaaabbab | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'b', s6)
(s6, 'a', s11)
(s11, 'b', s1)
Final state: s1 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a b ? |
4121c286-60c6-43f5-bdd7-9dba6692dae1 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a ? | s11 | 14 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaaaaabba | s11 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'b', s6)
(s6, 'a', s11)
Final state: s11 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a ? |
3c92969d-d5a2-4bce-bb46-ae4b04001c2e | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b ? | s6 | 13 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaaaaabb | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'b', s6)
Final state: s6 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b ? |
aaefe8cc-e5b0-4169-8b7d-41d698e4bcf0 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b ? | s1 | 12 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaaaaab | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
Final state: s1 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b ? |
d5273a7c-a71f-4e79-aab8-e8d97453f7dc | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a b a b b a ? | s12 | 19 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaaaaabbababba | s12 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'b', s6)
(s6, 'a', s11)
(s11, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s7)
(s7, 'b', s7)
(s7, 'a', s12)
Final state: s12 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a b a b b a ? |
f43648c7-552b-4dce-aa1f-9d37a2efe176 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a ? | s2 | 10 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaaaa | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'a', s2)
Final state: s2 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a ? |
c2e7005a-c7af-4513-893c-c3cc649ff103 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a ? | s2 | 8 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaa | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
Final state: s2 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a ? |
e69d345e-9e72-4ec9-8093-da9607b93f3d | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a ? | s10 | 7 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaa | s10 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
Final state: s10 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a ? |
ba061ef0-98c4-4500-99aa-63d83101def1 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a ? | s5 | 6 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaaba | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a ? |
144c2d68-384b-4c97-96e8-a971e2e44fbd | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b ? | s1 | 5 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaab | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
Final state: s1 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b ? |
f97d0f3f-bc09-44b9-9767-07be09bc2b02 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a ? | s10 | 4 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaa | s10 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
Final state: s10 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a ? |
44ea3cda-9727-49b9-9dab-6b7c7c89eb80 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a ? | s2 | 3 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baa | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
Final state: s2 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a ? |
e8fab861-0b19-4c51-a294-2954e0b1f688 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a ? | s10 | 2 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | ba | s10 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
Final state: s10 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a ? |
adc84fee-eb56-46ba-bafd-f797fd65bc26 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a ? | s10 | 9 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaaa | s10 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
Final state: s10 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a ? |
bd777cf5-bcf9-4f2e-b7c5-4f2094f27660 | 63513256-6777-4a9f-889a-ae84636f7037 | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s11", "s9", "s5", "s1", "s6", "s2", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s10","s5":"s10","s6":"s11","s7":"s12","s9":"s9","s10":"s2","s11":"s2","s12":"s5"},"b":{"s0":"s5","s1":"s6","s2":"s0","s5":"s7","s6":"s9","s7":"s7","s9":"s9","s10":"s1","s11":"s1","s12":"s5"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a b a b b a b ? | s5 | 20 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | baaabaaaaaabbababbab | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'a', s2)
(s2, 'a', s10)
(s10, 'b', s1)
(s1, 'b', s6)
(s6, 'a', s11)
(s11, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s7)
(s7, 'b', s7)
(s7, 'a', s12)
(s12, 'b', s5)
Final state: s5 | Given the following FSM:
a b
s0 s0 s5
s1 s5 s6
s2 s10 s0
s5 s10 s7
s6 s11 s9
s7 s12 s7
s9 s9 s9
s10 s2 s1
s11 s2 s1
s12 s5 s5
With the initial state: s0, and accepting states: ['s11', 's9', 's5', 's1', 's6', 's2', 's12'],
What will be the state after reading the following input: b a a a b a a a a a a b b a b a b b a b ? |
b6d33e5e-3713-472f-afa7-5403de75d61f | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a a b b b a b ? | s9 | 20 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaababbabaaabbbab | s9 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'b', s9)
(s9, 'b', s8)
(s8, 'b', s4)
(s4, 'a', s10)
(s10, 'b', s9)
Final state: s9 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a a b b b a b ? |
b891f71f-b3c5-417b-9088-d10ec03a61b6 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a ? | s1 | 2 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aa | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
Final state: s1 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a ? |
24b83983-088d-40ad-8287-780ffc8bc8a2 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a ? | s2 | 1 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | a | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
Final state: s2 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a ? |
e1e4a481-1b4a-463f-b751-37beb06bd2f2 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a a b b b a ? | s10 | 19 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaababbabaaabbba | s10 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'b', s9)
(s9, 'b', s8)
(s8, 'b', s4)
(s4, 'a', s10)
Final state: s10 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a a b b b a ? |
a2f57495-7150-4aeb-88fc-6bff9492f9fe | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a a b b b ? | s4 | 18 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaababbabaaabbb | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'b', s9)
(s9, 'b', s8)
(s8, 'b', s4)
Final state: s4 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a a b b b ? |
674f65fd-5d6b-40f6-ab59-435bdb4464a4 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a a b b ? | s8 | 17 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaababbabaaabb | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'b', s9)
(s9, 'b', s8)
Final state: s8 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a a b b ? |
d591cd28-a884-4c2b-9b77-e40a8dcbc547 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a a b ? | s9 | 16 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaababbabaaab | s9 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'b', s9)
Final state: s9 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a a b ? |
7dbe8a7c-3907-45b0-a41f-2866bd4d8999 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a a ? | s10 | 15 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaababbabaaa | s10 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
Final state: s10 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a a ? |
d5b871cf-81a4-4ec4-8b65-3d9c8bc1f321 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a ? | s1 | 13 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaababbaba | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'a', s1)
Final state: s1 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a ? |
9ade4305-5a67-492a-bbfa-f50ac3a73db4 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b ? | s2 | 12 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaababbab | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
Final state: s2 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b ? |
120c2ca7-0e6e-4999-b842-b4b13627b51d | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a ? | s5 | 11 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaababba | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'b', s1)
(s1, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a ? |
11c699e9-8c80-4208-8d20-720927ce59cd | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a ? | s5 | 14 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaababbabaa | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'a', s1)
(s1, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b a b a a ? |
952e1c30-5b79-46c3-9e67-c0fc54ad3a93 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b ? | s1 | 10 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaababb | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
(s2, 'b', s1)
Final state: s1 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b b ? |
62014170-d1f5-4c12-b12e-e3aee9d753e8 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a ? | s10 | 4 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaa | s10 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
Final state: s10 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a ? |
8ff8e639-7283-435f-802b-08b10c0aa9ae | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a ? | s0 | 5 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaa | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
Final state: s0 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a ? |
417e9740-ded5-4a1e-ade6-bef0b6b74364 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a ? | s2 | 6 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaa | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
Final state: s2 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a ? |
eb5596e8-a19b-4f65-bbfc-e6caa4a8a719 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a ? | s5 | 3 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaa | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a ? |
7728de95-109d-4350-99e2-d0cee8fd2bee | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a ? | s5 | 8 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaaba | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a ? |
53a1235b-d38c-478e-a86c-942f4f352c92 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b ? | s2 | 9 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaabab | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
(s1, 'a', s5)
(s5, 'b', s2)
Final state: s2 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b a b ? |
c2d7edd7-d399-4aed-9fe4-bf8d795bfe15 | 9b1aff07-a657-41e6-9424-87a1562e62de | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9", "s10", "s11", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s4":"s10","s5":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s11","s12":"s1"},"b":{"s0":"s4","s1":"s11","s2":"s1","s4":"s10","s5":"s2","s8":"s4","s9":"s8","s10":"s9","s11":"s10","s12":"s9"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b ? | s1 | 7 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaab | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s1)
(s1, 'a', s5)
(s5, 'a', s10)
(s10, 'a', s0)
(s0, 'a', s2)
(s2, 'b', s1)
Final state: s1 | Given the following FSM:
a b
s0 s2 s4
s1 s5 s11
s2 s1 s1
s4 s10 s10
s5 s10 s2
s8 s10 s4
s9 s12 s8
s10 s0 s9
s11 s11 s10
s12 s1 s9
With the initial state: s0, and accepting states: ['s5'],
What will be the state after reading the following input: a a a a a a b ? |
87770c56-0cc2-42d6-94c7-0e76737aafcf | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b ? | s2 | 11 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabbabb | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
(s12, 'a', s6)
(s6, 'b', s13)
(s13, 'b', s2)
Final state: s2 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b ? |
073efdec-c6d3-4bbb-9c95-7a6bd3578d52 | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a b a b a ? | s1 | 18 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabbabbaaababa | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
(s12, 'a', s6)
(s6, 'b', s13)
(s13, 'b', s2)
(s2, 'a', s12)
(s12, 'a', s6)
(s6, 'a', s14)
(s14, 'b', s11)
(s11, 'a', s3)
(s3, 'b', s1)
(s1, 'a', s1)
Final state: s1 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a b a b a ? |
eec75ae8-2615-4034-9ec6-454a44a6218d | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a b a b ? | s1 | 17 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabbabbaaabab | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
(s12, 'a', s6)
(s6, 'b', s13)
(s13, 'b', s2)
(s2, 'a', s12)
(s12, 'a', s6)
(s6, 'a', s14)
(s14, 'b', s11)
(s11, 'a', s3)
(s3, 'b', s1)
Final state: s1 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a b a b ? |
68ecd341-25f7-4ebf-938d-c01977e88a1f | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a b a ? | s3 | 16 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabbabbaaaba | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
(s12, 'a', s6)
(s6, 'b', s13)
(s13, 'b', s2)
(s2, 'a', s12)
(s12, 'a', s6)
(s6, 'a', s14)
(s14, 'b', s11)
(s11, 'a', s3)
Final state: s3 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a b a ? |
1f7f40e6-0f77-4918-a45e-d634c1af50d4 | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a b ? | s11 | 15 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabbabbaaab | s11 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
(s12, 'a', s6)
(s6, 'b', s13)
(s13, 'b', s2)
(s2, 'a', s12)
(s12, 'a', s6)
(s6, 'a', s14)
(s14, 'b', s11)
Final state: s11 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a b ? |
c32513a6-1e75-477c-a7d6-fb12ba3259af | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a ? | s14 | 14 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabbabbaaa | s14 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
(s12, 'a', s6)
(s6, 'b', s13)
(s13, 'b', s2)
(s2, 'a', s12)
(s12, 'a', s6)
(s6, 'a', s14)
Final state: s14 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a ? |
d71225b0-ad1f-4428-97c4-d49c62aaa9e3 | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a ? | s6 | 13 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabbabbaa | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
(s12, 'a', s6)
(s6, 'b', s13)
(s13, 'b', s2)
(s2, 'a', s12)
(s12, 'a', s6)
Final state: s6 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a ? |
861d8ad8-55c5-4163-869c-35c63b25d7c7 | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a ? | s12 | 12 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabbabba | s12 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
(s12, 'a', s6)
(s6, 'b', s13)
(s13, 'b', s2)
(s2, 'a', s12)
Final state: s12 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a ? |
57b587af-18f6-4dd7-8143-5d89f6970c2d | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b ? | s13 | 10 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabbab | s13 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
(s12, 'a', s6)
(s6, 'b', s13)
Final state: s13 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b ? |
ac1396f8-8aa8-4897-8d9a-f25f068e590b | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b ? | s13 | 1 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | b | s13 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
Final state: s13 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b ? |
5a29a7b8-7a1a-4b0b-a12e-23e35ec4d8ac | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b ? | s12 | 8 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabb | s12 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
Final state: s12 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b ? |
6c87b72d-4463-4dc4-bafe-088afa31e055 | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b ? | s1 | 7 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbab | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
Final state: s1 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b ? |
845c663c-b827-478d-b450-4ac4f50c3ce9 | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a ? | s3 | 6 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbba | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
Final state: s3 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a ? |
09c9a81e-9e0d-4ee2-8344-9a8f918cf7b7 | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b ? | s13 | 5 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbb | s13 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
Final state: s13 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b ? |
f99861d5-e7b2-4d7b-bc24-802c46202fec | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b ? | s0 | 4 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbb | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
Final state: s0 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b ? |
7bcef75f-e2cb-484b-b3b3-93a9c35d57b6 | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b ? | s5 | 3 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbb | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
Final state: s5 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b ? |
310ae1b3-7959-49e1-ae3a-a41dff1c887e | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b ? | s2 | 2 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bb | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
Final state: s2 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b ? |
264e64b6-3c71-4831-8e0c-044930b809be | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a b a b a b ? | s12 | 19 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabbabbaaababab | s12 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
(s12, 'a', s6)
(s6, 'b', s13)
(s13, 'b', s2)
(s2, 'a', s12)
(s12, 'a', s6)
(s6, 'a', s14)
(s14, 'b', s11)
(s11, 'a', s3)
(s3, 'b', s1)
(s1, 'a', s1)
(s1, 'b', s12)
Final state: s12 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a b a b a b ? |
984c17cf-173d-4264-a6bd-e383a3b75172 | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a ? | s6 | 9 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabba | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
(s12, 'a', s6)
Final state: s6 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a ? |
4f7babab-4abc-4ce3-ad01-2146f73b087c | a0fd25af-643e-4232-80ac-803ce707db7d | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s11", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s1", "s11", "s0", "s14", "s2", "s13", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s11","s1":"s1","s2":"s12","s3":"s6","s5":"s13","s6":"s14","s11":"s3","s12":"s6","s13":"s3","s14":"s1"},"b":{"s0":"s13","s1":"s12","s2":"s5","s3":"s1","s5":"s0","s6":"s13","s11":"s13","s12":"s3","s13":"s2","s14":"s11"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a b a b a b a ? | s6 | 20 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | bbbbbabbabbaaabababa | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s13)
(s13, 'b', s2)
(s2, 'b', s5)
(s5, 'b', s0)
(s0, 'b', s13)
(s13, 'a', s3)
(s3, 'b', s1)
(s1, 'b', s12)
(s12, 'a', s6)
(s6, 'b', s13)
(s13, 'b', s2)
(s2, 'a', s12)
(s12, 'a', s6)
(s6, 'a', s14)
(s14, 'b', s11)
(s11, 'a', s3)
(s3, 'b', s1)
(s1, 'a', s1)
(s1, 'b', s12)
(s12, 'a', s6)
Final state: s6 | Given the following FSM:
a b
s0 s11 s13
s1 s1 s12
s2 s12 s5
s3 s6 s1
s5 s13 s0
s6 s14 s13
s11 s3 s13
s12 s6 s3
s13 s3 s2
s14 s1 s11
With the initial state: s0, and accepting states: ['s1', 's11', 's0', 's14', 's2', 's13', 's5'],
What will be the state after reading the following input: b b b b b a b b a b b a a a b a b a b a ? |
c2f352c7-5009-4f0a-9889-5f0bc945c4e5 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b a a b b a a ? | s7 | 20 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaabbbabbaabbaa | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
(s4, 'b', s4)
(s4, 'a', s3)
(s3, 'b', s8)
(s8, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
(s4, 'a', s3)
(s3, 'a', s7)
Final state: s7 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b a a b b a a ? |
3e7629fe-ff76-45cb-8255-2a7c71220aa2 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b a a b b a ? | s3 | 19 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaabbbabbaabba | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
(s4, 'b', s4)
(s4, 'a', s3)
(s3, 'b', s8)
(s8, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
(s4, 'a', s3)
Final state: s3 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b a a b b a ? |
33d341b4-963e-4737-9b9e-8ab6d3588a87 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a ? | s2 | 1 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | a | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
Final state: s2 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a ? |
c8321424-498b-4af5-8c26-ff757874b4f8 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a ? | s2 | 2 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aa | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
Final state: s2 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a ? |
8edcd72d-3a36-486f-b08f-10374d2569f9 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a ? | s2 | 3 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaa | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
Final state: s2 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a ? |
b3243961-569b-4a81-901a-c31e6eaf49f0 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a ? | s2 | 4 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaa | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
Final state: s2 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a ? |
e261e1d8-702b-4de3-aaa2-7e45795048e9 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a ? | s2 | 5 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaa | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
Final state: s2 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a ? |
06a085af-ce07-4f9a-b5b1-5876afefdcec | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a ? | s6 | 7 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaaba | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
Final state: s6 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a ? |
e1f57b5a-76ed-4a0f-9c84-b6b62a0b1f56 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a ? | s1 | 8 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaa | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
Final state: s1 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a ? |
3f22b10c-dbb8-4389-b30b-e32de53a8762 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b ? | s11 | 9 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaab | s11 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
Final state: s11 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b ? |
20f17536-f364-43d7-8682-ca95f5824129 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b ? | s8 | 6 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaab | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
Final state: s8 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b ? |
4c6536cf-d8ad-4056-ab47-9381baaf6ea6 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b ? | s4 | 11 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaabbb | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
(s4, 'b', s4)
Final state: s4 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b ? |
401cdcb5-73da-400b-8ec3-51d20a2095e4 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b ? | s4 | 10 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaabb | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
Final state: s4 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b ? |
cc786459-5341-4180-be97-a14cdd0541f0 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b a a b ? | s11 | 17 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaabbbabbaab | s11 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
(s4, 'b', s4)
(s4, 'a', s3)
(s3, 'b', s8)
(s8, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
Final state: s11 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b a a b ? |
b882fce4-1960-4aec-acea-7589a72c0854 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b a a ? | s1 | 16 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaabbbabbaa | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
(s4, 'b', s4)
(s4, 'a', s3)
(s3, 'b', s8)
(s8, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
Final state: s1 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b a a ? |
2d2295af-dcd3-4dfd-a92a-8885779f5927 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b a ? | s6 | 15 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaabbbabba | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
(s4, 'b', s4)
(s4, 'a', s3)
(s3, 'b', s8)
(s8, 'b', s8)
(s8, 'a', s6)
Final state: s6 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b a ? |
c62b1114-1906-44a3-a068-600d64e11789 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b a a b b ? | s4 | 18 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaabbbabbaabb | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
(s4, 'b', s4)
(s4, 'a', s3)
(s3, 'b', s8)
(s8, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
Final state: s4 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b a a b b ? |
c630279b-a998-497a-ac33-5dfe0aada0bf | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b ? | s8 | 13 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaabbbab | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
(s4, 'b', s4)
(s4, 'a', s3)
(s3, 'b', s8)
Final state: s8 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b ? |
142e9bb0-8240-429d-8c2b-fbd1166cd787 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a ? | s3 | 12 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaabbba | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
(s4, 'b', s4)
(s4, 'a', s3)
Final state: s3 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a ? |
950fbecc-9b4b-46f6-845b-0ba7d94e86b4 | dca09141-1c30-487e-b23c-b0b0d4880218 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s4", "s11", "s2", "s3", "s1", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s11","s2":"s2","s3":"s7","s4":"s3","s6":"s1","s7":"s4","s8":"s6","s10":"s4","s11":"s10"},"b":{"s0":"s6","s1":"s11","s2":"s8","s3":"s8","s4":"s4","s6":"s10","s7":"s4","s8":"s8","s10":"s6","s11":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b ? | s8 | 14 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaaabaabbbabb | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s1)
(s1, 'b', s11)
(s11, 'b', s4)
(s4, 'b', s4)
(s4, 'a', s3)
(s3, 'b', s8)
(s8, 'b', s8)
Final state: s8 | Given the following FSM:
a b
s0 s2 s6
s1 s11 s11
s2 s2 s8
s3 s7 s8
s4 s3 s4
s6 s1 s10
s7 s4 s4
s8 s6 s8
s10 s4 s6
s11 s10 s4
With the initial state: s0, and accepting states: ['s4', 's11', 's2', 's3', 's1', 's0', 's7'],
What will be the state after reading the following input: a a a a a b a a b b b a b b ? |