input: Using the bubble sort method, sort -71, 71, -80, -19, 80, 63, 41, 93, -13, -81 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-71, 71, -80, -19, 80, 63, 41, 93, -13, -81]

Pass 1:
  Compare -71 and 71
  No swap needed
  Compare 71 and -80
  Swap 71 and -80
  List after swap: [-71, -80, 71, -19, 80, 63, 41, 93, -13, -81]
  Compare 71 and -19
  Swap 71 and -19
  List after swap: [-71, -80, -19, 71, 80, 63, 41, 93, -13, -81]
  Compare 71 and 80
  No swap needed
  Compare 80 and 63
  Swap 80 and 63
  List after swap: [-71, -80, -19, 71, 63, 80, 41, 93, -13, -81]
  Compare 80 and 41
  Swap 80 and 41
  List after swap: [-71, -80, -19, 71, 63, 41, 80, 93, -13, -81]
  Compare 80 and 93
  No swap needed
  Compare 93 and -13
  Swap 93 and -13
  List after swap: [-71, -80, -19, 71, 63, 41, 80, -13, 93, -81]
  Compare 93 and -81
  Swap 93 and -81
  List after swap: [-71, -80, -19, 71, 63, 41, 80, -13, -81, 93]

Pass 2:
  Compare -71 and -80
  Swap -71 and -80
  List after swap: [-80, -71, -19, 71, 63, 41, 80, -13, -81, 93]
  Compare -71 and -19
  No swap needed
  Compare -19 and 71
  No swap needed
  Compare 71 and 63
  Swap 71 and 63
  List after swap: [-80, -71, -19, 63, 71, 41, 80, -13, -81, 93]
  Compare 71 and 41
  Swap 71 and 41
  List after swap: [-80, -71, -19, 63, 41, 71, 80, -13, -81, 93]
  Compare 71 and 80
  No swap needed
  Compare 80 and -13
  Swap 80 and -13
  List after swap: [-80, -71, -19, 63, 41, 71, -13, 80, -81, 93]
  Compare 80 and -81
  Swap 80 and -81
  List after swap: [-80, -71, -19, 63, 41, 71, -13, -81, 80, 93]

Pass 3:
  Compare -80 and -71
  No swap needed
  Compare -71 and -19
  No swap needed
  Compare -19 and 63
  No swap needed
  Compare 63 and 41
  Swap 63 and 41
  List after swap: [-80, -71, -19, 41, 63, 71, -13, -81, 80, 93]
  Compare 63 and 71
  No swap needed
  Compare 71 and -13
  Swap 71 and -13
  List after swap: [-80, -71, -19, 41, 63, -13, 71, -81, 80, 93]
  Compare 71 and -81
  Swap 71 and -81
  List after swap: [-80, -71, -19, 41, 63, -13, -81, 71, 80, 93]

Pass 4:
  Compare -80 and -71
  No swap needed
  Compare -71 and -19
  No swap needed
  Compare -19 and 41
  No swap needed
  Compare 41 and 63
  No swap needed
  Compare 63 and -13
  Swap 63 and -13
  List after swap: [-80, -71, -19, 41, -13, 63, -81, 71, 80, 93]
  Compare 63 and -81
  Swap 63 and -81
  List after swap: [-80, -71, -19, 41, -13, -81, 63, 71, 80, 93]

Pass 5:
  Compare -80 and -71
  No swap needed
  Compare -71 and -19
  No swap needed
  Compare -19 and 41
  No swap needed
  Compare 41 and -13
  Swap 41 and -13
  List after swap: [-80, -71, -19, -13, 41, -81, 63, 71, 80, 93]
  Compare 41 and -81
  Swap 41 and -81
  List after swap: [-80, -71, -19, -13, -81, 41, 63, 71, 80, 93]

Pass 6:
  Compare -80 and -71
  No swap needed
  Compare -71 and -19
  No swap needed
  Compare -19 and -13
  No swap needed
  Compare -13 and -81
  Swap -13 and -81
  List after swap: [-80, -71, -19, -81, -13, 41, 63, 71, 80, 93]

Pass 7:
  Compare -80 and -71
  No swap needed
  Compare -71 and -19
  No swap needed
  Compare -19 and -81
  Swap -19 and -81
  List after swap: [-80, -71, -81, -19, -13, 41, 63, 71, 80, 93]

Pass 8:
  Compare -80 and -71
  No swap needed
  Compare -71 and -81
  Swap -71 and -81
  List after swap: [-80, -81, -71, -19, -13, 41, 63, 71, 80, 93]

Pass 9:
  Compare -80 and -81
  Swap -80 and -81
  List after swap: [-81, -80, -71, -19, -13, 41, 63, 71, 80, 93]

Pass 10:
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -80, -71, -19, -13, 41, 63, 71, 80, 93]
</think>

<response>-81, -80, -71, -19, -13, 41, 63, 71, 80, 93</response>


input: Carry out the bubble sort algorithm on -75, -62, 6, -9, 63, 70, -50, -46, 97, 19 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-75, -62, 6, -9, 63, 70, -50, -46, 97, 19]

Pass 1:
  Compare -75 and -62
  No swap needed
  Compare -62 and 6
  No swap needed
  Compare 6 and -9
  Swap 6 and -9
  List after swap: [-75, -62, -9, 6, 63, 70, -50, -46, 97, 19]
  Compare 6 and 63
  No swap needed
  Compare 63 and 70
  No swap needed
  Compare 70 and -50
  Swap 70 and -50
  List after swap: [-75, -62, -9, 6, 63, -50, 70, -46, 97, 19]
  Compare 70 and -46
  Swap 70 and -46
  List after swap: [-75, -62, -9, 6, 63, -50, -46, 70, 97, 19]
  Compare 70 and 97
  No swap needed
  Compare 97 and 19
  Swap 97 and 19
  List after swap: [-75, -62, -9, 6, 63, -50, -46, 70, 19, 97]

Pass 2:
  Compare -75 and -62
  No swap needed
  Compare -62 and -9
  No swap needed
  Compare -9 and 6
  No swap needed
  Compare 6 and 63
  No swap needed
  Compare 63 and -50
  Swap 63 and -50
  List after swap: [-75, -62, -9, 6, -50, 63, -46, 70, 19, 97]
  Compare 63 and -46
  Swap 63 and -46
  List after swap: [-75, -62, -9, 6, -50, -46, 63, 70, 19, 97]
  Compare 63 and 70
  No swap needed
  Compare 70 and 19
  Swap 70 and 19
  List after swap: [-75, -62, -9, 6, -50, -46, 63, 19, 70, 97]

Pass 3:
  Compare -75 and -62
  No swap needed
  Compare -62 and -9
  No swap needed
  Compare -9 and 6
  No swap needed
  Compare 6 and -50
  Swap 6 and -50
  List after swap: [-75, -62, -9, -50, 6, -46, 63, 19, 70, 97]
  Compare 6 and -46
  Swap 6 and -46
  List after swap: [-75, -62, -9, -50, -46, 6, 63, 19, 70, 97]
  Compare 6 and 63
  No swap needed
  Compare 63 and 19
  Swap 63 and 19
  List after swap: [-75, -62, -9, -50, -46, 6, 19, 63, 70, 97]

Pass 4:
  Compare -75 and -62
  No swap needed
  Compare -62 and -9
  No swap needed
  Compare -9 and -50
  Swap -9 and -50
  List after swap: [-75, -62, -50, -9, -46, 6, 19, 63, 70, 97]
  Compare -9 and -46
  Swap -9 and -46
  List after swap: [-75, -62, -50, -46, -9, 6, 19, 63, 70, 97]
  Compare -9 and 6
  No swap needed
  Compare 6 and 19
  No swap needed

Pass 5:
  Compare -75 and -62
  No swap needed
  Compare -62 and -50
  No swap needed
  Compare -50 and -46
  No swap needed
  Compare -46 and -9
  No swap needed
  Compare -9 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -62, -50, -46, -9, 6, 19, 63, 70, 97]
</think>

<response>-75, -62, -50, -46, -9, 6, 19, 63, 70, 97</response>


input: Use the bubble sort technique to reorder 58, -1, 89, 0, 84, 47, -4, -40, 6, 95 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [58, -1, 89, 0, 84, 47, -4, -40, 6, 95]

Pass 1:
  Compare 58 and -1
  Swap 58 and -1
  List after swap: [-1, 58, 89, 0, 84, 47, -4, -40, 6, 95]
  Compare 58 and 89
  No swap needed
  Compare 89 and 0
  Swap 89 and 0
  List after swap: [-1, 58, 0, 89, 84, 47, -4, -40, 6, 95]
  Compare 89 and 84
  Swap 89 and 84
  List after swap: [-1, 58, 0, 84, 89, 47, -4, -40, 6, 95]
  Compare 89 and 47
  Swap 89 and 47
  List after swap: [-1, 58, 0, 84, 47, 89, -4, -40, 6, 95]
  Compare 89 and -4
  Swap 89 and -4
  List after swap: [-1, 58, 0, 84, 47, -4, 89, -40, 6, 95]
  Compare 89 and -40
  Swap 89 and -40
  List after swap: [-1, 58, 0, 84, 47, -4, -40, 89, 6, 95]
  Compare 89 and 6
  Swap 89 and 6
  List after swap: [-1, 58, 0, 84, 47, -4, -40, 6, 89, 95]
  Compare 89 and 95
  No swap needed

Pass 2:
  Compare -1 and 58
  No swap needed
  Compare 58 and 0
  Swap 58 and 0
  List after swap: [-1, 0, 58, 84, 47, -4, -40, 6, 89, 95]
  Compare 58 and 84
  No swap needed
  Compare 84 and 47
  Swap 84 and 47
  List after swap: [-1, 0, 58, 47, 84, -4, -40, 6, 89, 95]
  Compare 84 and -4
  Swap 84 and -4
  List after swap: [-1, 0, 58, 47, -4, 84, -40, 6, 89, 95]
  Compare 84 and -40
  Swap 84 and -40
  List after swap: [-1, 0, 58, 47, -4, -40, 84, 6, 89, 95]
  Compare 84 and 6
  Swap 84 and 6
  List after swap: [-1, 0, 58, 47, -4, -40, 6, 84, 89, 95]
  Compare 84 and 89
  No swap needed

Pass 3:
  Compare -1 and 0
  No swap needed
  Compare 0 and 58
  No swap needed
  Compare 58 and 47
  Swap 58 and 47
  List after swap: [-1, 0, 47, 58, -4, -40, 6, 84, 89, 95]
  Compare 58 and -4
  Swap 58 and -4
  List after swap: [-1, 0, 47, -4, 58, -40, 6, 84, 89, 95]
  Compare 58 and -40
  Swap 58 and -40
  List after swap: [-1, 0, 47, -4, -40, 58, 6, 84, 89, 95]
  Compare 58 and 6
  Swap 58 and 6
  List after swap: [-1, 0, 47, -4, -40, 6, 58, 84, 89, 95]
  Compare 58 and 84
  No swap needed

Pass 4:
  Compare -1 and 0
  No swap needed
  Compare 0 and 47
  No swap needed
  Compare 47 and -4
  Swap 47 and -4
  List after swap: [-1, 0, -4, 47, -40, 6, 58, 84, 89, 95]
  Compare 47 and -40
  Swap 47 and -40
  List after swap: [-1, 0, -4, -40, 47, 6, 58, 84, 89, 95]
  Compare 47 and 6
  Swap 47 and 6
  List after swap: [-1, 0, -4, -40, 6, 47, 58, 84, 89, 95]
  Compare 47 and 58
  No swap needed

Pass 5:
  Compare -1 and 0
  No swap needed
  Compare 0 and -4
  Swap 0 and -4
  List after swap: [-1, -4, 0, -40, 6, 47, 58, 84, 89, 95]
  Compare 0 and -40
  Swap 0 and -40
  List after swap: [-1, -4, -40, 0, 6, 47, 58, 84, 89, 95]
  Compare 0 and 6
  No swap needed
  Compare 6 and 47
  No swap needed

Pass 6:
  Compare -1 and -4
  Swap -1 and -4
  List after swap: [-4, -1, -40, 0, 6, 47, 58, 84, 89, 95]
  Compare -1 and -40
  Swap -1 and -40
  List after swap: [-4, -40, -1, 0, 6, 47, 58, 84, 89, 95]
  Compare -1 and 0
  No swap needed
  Compare 0 and 6
  No swap needed

Pass 7:
  Compare -4 and -40
  Swap -4 and -40
  List after swap: [-40, -4, -1, 0, 6, 47, 58, 84, 89, 95]
  Compare -4 and -1
  No swap needed
  Compare -1 and 0
  No swap needed

Pass 8:
  Compare -40 and -4
  No swap needed
  Compare -4 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -4, -1, 0, 6, 47, 58, 84, 89, 95]
</think>

<response>-40, -4, -1, 0, 6, 47, 58, 84, 89, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -32, 19.

output:
<think>
Initial list: [-32, 19]

Pass 1:
  Compare -32 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, 19]
</think>

<response>-32, 19</response>


input: Demonstrate how bubble sort orders the integers -99, 75, 16, -49, 74 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-99, 75, 16, -49, 74]

Pass 1:
  Compare -99 and 75
  No swap needed
  Compare 75 and 16
  Swap 75 and 16
  List after swap: [-99, 16, 75, -49, 74]
  Compare 75 and -49
  Swap 75 and -49
  List after swap: [-99, 16, -49, 75, 74]
  Compare 75 and 74
  Swap 75 and 74
  List after swap: [-99, 16, -49, 74, 75]

Pass 2:
  Compare -99 and 16
  No swap needed
  Compare 16 and -49
  Swap 16 and -49
  List after swap: [-99, -49, 16, 74, 75]
  Compare 16 and 74
  No swap needed

Pass 3:
  Compare -99 and -49
  No swap needed
  Compare -49 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -49, 16, 74, 75]
</think>

<response>-99, -49, 16, 74, 75</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 30, 28, -97, -76, 72, -70, 35, -17.

output:
<think>
Initial list: [30, 28, -97, -76, 72, -70, 35, -17]

Pass 1:
  Compare 30 and 28
  Swap 30 and 28
  List after swap: [28, 30, -97, -76, 72, -70, 35, -17]
  Compare 30 and -97
  Swap 30 and -97
  List after swap: [28, -97, 30, -76, 72, -70, 35, -17]
  Compare 30 and -76
  Swap 30 and -76
  List after swap: [28, -97, -76, 30, 72, -70, 35, -17]
  Compare 30 and 72
  No swap needed
  Compare 72 and -70
  Swap 72 and -70
  List after swap: [28, -97, -76, 30, -70, 72, 35, -17]
  Compare 72 and 35
  Swap 72 and 35
  List after swap: [28, -97, -76, 30, -70, 35, 72, -17]
  Compare 72 and -17
  Swap 72 and -17
  List after swap: [28, -97, -76, 30, -70, 35, -17, 72]

Pass 2:
  Compare 28 and -97
  Swap 28 and -97
  List after swap: [-97, 28, -76, 30, -70, 35, -17, 72]
  Compare 28 and -76
  Swap 28 and -76
  List after swap: [-97, -76, 28, 30, -70, 35, -17, 72]
  Compare 28 and 30
  No swap needed
  Compare 30 and -70
  Swap 30 and -70
  List after swap: [-97, -76, 28, -70, 30, 35, -17, 72]
  Compare 30 and 35
  No swap needed
  Compare 35 and -17
  Swap 35 and -17
  List after swap: [-97, -76, 28, -70, 30, -17, 35, 72]

Pass 3:
  Compare -97 and -76
  No swap needed
  Compare -76 and 28
  No swap needed
  Compare 28 and -70
  Swap 28 and -70
  List after swap: [-97, -76, -70, 28, 30, -17, 35, 72]
  Compare 28 and 30
  No swap needed
  Compare 30 and -17
  Swap 30 and -17
  List after swap: [-97, -76, -70, 28, -17, 30, 35, 72]

Pass 4:
  Compare -97 and -76
  No swap needed
  Compare -76 and -70
  No swap needed
  Compare -70 and 28
  No swap needed
  Compare 28 and -17
  Swap 28 and -17
  List after swap: [-97, -76, -70, -17, 28, 30, 35, 72]

Pass 5:
  Compare -97 and -76
  No swap needed
  Compare -76 and -70
  No swap needed
  Compare -70 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -76, -70, -17, 28, 30, 35, 72]
</think>

<response>-97, -76, -70, -17, 28, 30, 35, 72</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 82, -57, 86, 24, -95, 97, 67, -39, 5, 95.

output:
<think>
Initial list: [82, -57, 86, 24, -95, 97, 67, -39, 5, 95]

Pass 1:
  Compare 82 and -57
  Swap 82 and -57
  List after swap: [-57, 82, 86, 24, -95, 97, 67, -39, 5, 95]
  Compare 82 and 86
  No swap needed
  Compare 86 and 24
  Swap 86 and 24
  List after swap: [-57, 82, 24, 86, -95, 97, 67, -39, 5, 95]
  Compare 86 and -95
  Swap 86 and -95
  List after swap: [-57, 82, 24, -95, 86, 97, 67, -39, 5, 95]
  Compare 86 and 97
  No swap needed
  Compare 97 and 67
  Swap 97 and 67
  List after swap: [-57, 82, 24, -95, 86, 67, 97, -39, 5, 95]
  Compare 97 and -39
  Swap 97 and -39
  List after swap: [-57, 82, 24, -95, 86, 67, -39, 97, 5, 95]
  Compare 97 and 5
  Swap 97 and 5
  List after swap: [-57, 82, 24, -95, 86, 67, -39, 5, 97, 95]
  Compare 97 and 95
  Swap 97 and 95
  List after swap: [-57, 82, 24, -95, 86, 67, -39, 5, 95, 97]

Pass 2:
  Compare -57 and 82
  No swap needed
  Compare 82 and 24
  Swap 82 and 24
  List after swap: [-57, 24, 82, -95, 86, 67, -39, 5, 95, 97]
  Compare 82 and -95
  Swap 82 and -95
  List after swap: [-57, 24, -95, 82, 86, 67, -39, 5, 95, 97]
  Compare 82 and 86
  No swap needed
  Compare 86 and 67
  Swap 86 and 67
  List after swap: [-57, 24, -95, 82, 67, 86, -39, 5, 95, 97]
  Compare 86 and -39
  Swap 86 and -39
  List after swap: [-57, 24, -95, 82, 67, -39, 86, 5, 95, 97]
  Compare 86 and 5
  Swap 86 and 5
  List after swap: [-57, 24, -95, 82, 67, -39, 5, 86, 95, 97]
  Compare 86 and 95
  No swap needed

Pass 3:
  Compare -57 and 24
  No swap needed
  Compare 24 and -95
  Swap 24 and -95
  List after swap: [-57, -95, 24, 82, 67, -39, 5, 86, 95, 97]
  Compare 24 and 82
  No swap needed
  Compare 82 and 67
  Swap 82 and 67
  List after swap: [-57, -95, 24, 67, 82, -39, 5, 86, 95, 97]
  Compare 82 and -39
  Swap 82 and -39
  List after swap: [-57, -95, 24, 67, -39, 82, 5, 86, 95, 97]
  Compare 82 and 5
  Swap 82 and 5
  List after swap: [-57, -95, 24, 67, -39, 5, 82, 86, 95, 97]
  Compare 82 and 86
  No swap needed

Pass 4:
  Compare -57 and -95
  Swap -57 and -95
  List after swap: [-95, -57, 24, 67, -39, 5, 82, 86, 95, 97]
  Compare -57 and 24
  No swap needed
  Compare 24 and 67
  No swap needed
  Compare 67 and -39
  Swap 67 and -39
  List after swap: [-95, -57, 24, -39, 67, 5, 82, 86, 95, 97]
  Compare 67 and 5
  Swap 67 and 5
  List after swap: [-95, -57, 24, -39, 5, 67, 82, 86, 95, 97]
  Compare 67 and 82
  No swap needed

Pass 5:
  Compare -95 and -57
  No swap needed
  Compare -57 and 24
  No swap needed
  Compare 24 and -39
  Swap 24 and -39
  List after swap: [-95, -57, -39, 24, 5, 67, 82, 86, 95, 97]
  Compare 24 and 5
  Swap 24 and 5
  List after swap: [-95, -57, -39, 5, 24, 67, 82, 86, 95, 97]
  Compare 24 and 67
  No swap needed

Pass 6:
  Compare -95 and -57
  No swap needed
  Compare -57 and -39
  No swap needed
  Compare -39 and 5
  No swap needed
  Compare 5 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -57, -39, 5, 24, 67, 82, 86, 95, 97]
</think>

<response>-95, -57, -39, 5, 24, 67, 82, 86, 95, 97</response>


input: Arrange the numbers -8, -79, 99, -71, -95, 4 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-8, -79, 99, -71, -95, 4]

Pass 1:
  Compare -8 and -79
  Swap -8 and -79
  List after swap: [-79, -8, 99, -71, -95, 4]
  Compare -8 and 99
  No swap needed
  Compare 99 and -71
  Swap 99 and -71
  List after swap: [-79, -8, -71, 99, -95, 4]
  Compare 99 and -95
  Swap 99 and -95
  List after swap: [-79, -8, -71, -95, 99, 4]
  Compare 99 and 4
  Swap 99 and 4
  List after swap: [-79, -8, -71, -95, 4, 99]

Pass 2:
  Compare -79 and -8
  No swap needed
  Compare -8 and -71
  Swap -8 and -71
  List after swap: [-79, -71, -8, -95, 4, 99]
  Compare -8 and -95
  Swap -8 and -95
  List after swap: [-79, -71, -95, -8, 4, 99]
  Compare -8 and 4
  No swap needed

Pass 3:
  Compare -79 and -71
  No swap needed
  Compare -71 and -95
  Swap -71 and -95
  List after swap: [-79, -95, -71, -8, 4, 99]
  Compare -71 and -8
  No swap needed

Pass 4:
  Compare -79 and -95
  Swap -79 and -95
  List after swap: [-95, -79, -71, -8, 4, 99]
  Compare -79 and -71
  No swap needed

Pass 5:
  Compare -95 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -79, -71, -8, 4, 99]
</think>

<response>-95, -79, -71, -8, 4, 99</response>


input: Using the bubble sort method, sort 33, 0, 55, -87, 17, 8, -89, -48 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [33, 0, 55, -87, 17, 8, -89, -48]

Pass 1:
  Compare 33 and 0
  Swap 33 and 0
  List after swap: [0, 33, 55, -87, 17, 8, -89, -48]
  Compare 33 and 55
  No swap needed
  Compare 55 and -87
  Swap 55 and -87
  List after swap: [0, 33, -87, 55, 17, 8, -89, -48]
  Compare 55 and 17
  Swap 55 and 17
  List after swap: [0, 33, -87, 17, 55, 8, -89, -48]
  Compare 55 and 8
  Swap 55 and 8
  List after swap: [0, 33, -87, 17, 8, 55, -89, -48]
  Compare 55 and -89
  Swap 55 and -89
  List after swap: [0, 33, -87, 17, 8, -89, 55, -48]
  Compare 55 and -48
  Swap 55 and -48
  List after swap: [0, 33, -87, 17, 8, -89, -48, 55]

Pass 2:
  Compare 0 and 33
  No swap needed
  Compare 33 and -87
  Swap 33 and -87
  List after swap: [0, -87, 33, 17, 8, -89, -48, 55]
  Compare 33 and 17
  Swap 33 and 17
  List after swap: [0, -87, 17, 33, 8, -89, -48, 55]
  Compare 33 and 8
  Swap 33 and 8
  List after swap: [0, -87, 17, 8, 33, -89, -48, 55]
  Compare 33 and -89
  Swap 33 and -89
  List after swap: [0, -87, 17, 8, -89, 33, -48, 55]
  Compare 33 and -48
  Swap 33 and -48
  List after swap: [0, -87, 17, 8, -89, -48, 33, 55]

Pass 3:
  Compare 0 and -87
  Swap 0 and -87
  List after swap: [-87, 0, 17, 8, -89, -48, 33, 55]
  Compare 0 and 17
  No swap needed
  Compare 17 and 8
  Swap 17 and 8
  List after swap: [-87, 0, 8, 17, -89, -48, 33, 55]
  Compare 17 and -89
  Swap 17 and -89
  List after swap: [-87, 0, 8, -89, 17, -48, 33, 55]
  Compare 17 and -48
  Swap 17 and -48
  List after swap: [-87, 0, 8, -89, -48, 17, 33, 55]

Pass 4:
  Compare -87 and 0
  No swap needed
  Compare 0 and 8
  No swap needed
  Compare 8 and -89
  Swap 8 and -89
  List after swap: [-87, 0, -89, 8, -48, 17, 33, 55]
  Compare 8 and -48
  Swap 8 and -48
  List after swap: [-87, 0, -89, -48, 8, 17, 33, 55]

Pass 5:
  Compare -87 and 0
  No swap needed
  Compare 0 and -89
  Swap 0 and -89
  List after swap: [-87, -89, 0, -48, 8, 17, 33, 55]
  Compare 0 and -48
  Swap 0 and -48
  List after swap: [-87, -89, -48, 0, 8, 17, 33, 55]

Pass 6:
  Compare -87 and -89
  Swap -87 and -89
  List after swap: [-89, -87, -48, 0, 8, 17, 33, 55]
  Compare -87 and -48
  No swap needed

Pass 7:
  Compare -89 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -87, -48, 0, 8, 17, 33, 55]
</think>

<response>-89, -87, -48, 0, 8, 17, 33, 55</response>


input: Demonstrate how bubble sort orders the integers -46, 26, -27, 96, 84, 39 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-46, 26, -27, 96, 84, 39]

Pass 1:
  Compare -46 and 26
  No swap needed
  Compare 26 and -27
  Swap 26 and -27
  List after swap: [-46, -27, 26, 96, 84, 39]
  Compare 26 and 96
  No swap needed
  Compare 96 and 84
  Swap 96 and 84
  List after swap: [-46, -27, 26, 84, 96, 39]
  Compare 96 and 39
  Swap 96 and 39
  List after swap: [-46, -27, 26, 84, 39, 96]

Pass 2:
  Compare -46 and -27
  No swap needed
  Compare -27 and 26
  No swap needed
  Compare 26 and 84
  No swap needed
  Compare 84 and 39
  Swap 84 and 39
  List after swap: [-46, -27, 26, 39, 84, 96]

Pass 3:
  Compare -46 and -27
  No swap needed
  Compare -27 and 26
  No swap needed
  Compare 26 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -27, 26, 39, 84, 96]
</think>

<response>-46, -27, 26, 39, 84, 96</response>


input: Using the bubble sort method, sort 55, -12 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [55, -12]

Pass 1:
  Compare 55 and -12
  Swap 55 and -12
  List after swap: [-12, 55]

Pass 2:
  No swaps in this pass, list is sorted.

Final sorted list: [-12, 55]
</think>

<response>-12, 55</response>


input: Using the bubble sort method, sort 18, 15, -23 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [18, 15, -23]

Pass 1:
  Compare 18 and 15
  Swap 18 and 15
  List after swap: [15, 18, -23]
  Compare 18 and -23
  Swap 18 and -23
  List after swap: [15, -23, 18]

Pass 2:
  Compare 15 and -23
  Swap 15 and -23
  List after swap: [-23, 15, 18]

Pass 3:
  No swaps in this pass, list is sorted.

Final sorted list: [-23, 15, 18]
</think>

<response>-23, 15, 18</response>


input: Perform a bubble sort on the integers 72, 66, -74, 96, -69, 33, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [72, 66, -74, 96, -69, 33]

Pass 1:
  Compare 72 and 66
  Swap 72 and 66
  List after swap: [66, 72, -74, 96, -69, 33]
  Compare 72 and -74
  Swap 72 and -74
  List after swap: [66, -74, 72, 96, -69, 33]
  Compare 72 and 96
  No swap needed
  Compare 96 and -69
  Swap 96 and -69
  List after swap: [66, -74, 72, -69, 96, 33]
  Compare 96 and 33
  Swap 96 and 33
  List after swap: [66, -74, 72, -69, 33, 96]

Pass 2:
  Compare 66 and -74
  Swap 66 and -74
  List after swap: [-74, 66, 72, -69, 33, 96]
  Compare 66 and 72
  No swap needed
  Compare 72 and -69
  Swap 72 and -69
  List after swap: [-74, 66, -69, 72, 33, 96]
  Compare 72 and 33
  Swap 72 and 33
  List after swap: [-74, 66, -69, 33, 72, 96]

Pass 3:
  Compare -74 and 66
  No swap needed
  Compare 66 and -69
  Swap 66 and -69
  List after swap: [-74, -69, 66, 33, 72, 96]
  Compare 66 and 33
  Swap 66 and 33
  List after swap: [-74, -69, 33, 66, 72, 96]

Pass 4:
  Compare -74 and -69
  No swap needed
  Compare -69 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -69, 33, 66, 72, 96]
</think>

<response>-74, -69, 33, 66, 72, 96</response>


input: Use the bubble sort technique to reorder -97, -59, 38 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-97, -59, 38]

Pass 1:
  Compare -97 and -59
  No swap needed
  Compare -59 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -59, 38]
</think>

<response>-97, -59, 38</response>


input: Sort these integers 70, 32, 25, 64, -45, -68, -52, -13, -69 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [70, 32, 25, 64, -45, -68, -52, -13, -69]

Pass 1:
  Compare 70 and 32
  Swap 70 and 32
  List after swap: [32, 70, 25, 64, -45, -68, -52, -13, -69]
  Compare 70 and 25
  Swap 70 and 25
  List after swap: [32, 25, 70, 64, -45, -68, -52, -13, -69]
  Compare 70 and 64
  Swap 70 and 64
  List after swap: [32, 25, 64, 70, -45, -68, -52, -13, -69]
  Compare 70 and -45
  Swap 70 and -45
  List after swap: [32, 25, 64, -45, 70, -68, -52, -13, -69]
  Compare 70 and -68
  Swap 70 and -68
  List after swap: [32, 25, 64, -45, -68, 70, -52, -13, -69]
  Compare 70 and -52
  Swap 70 and -52
  List after swap: [32, 25, 64, -45, -68, -52, 70, -13, -69]
  Compare 70 and -13
  Swap 70 and -13
  List after swap: [32, 25, 64, -45, -68, -52, -13, 70, -69]
  Compare 70 and -69
  Swap 70 and -69
  List after swap: [32, 25, 64, -45, -68, -52, -13, -69, 70]

Pass 2:
  Compare 32 and 25
  Swap 32 and 25
  List after swap: [25, 32, 64, -45, -68, -52, -13, -69, 70]
  Compare 32 and 64
  No swap needed
  Compare 64 and -45
  Swap 64 and -45
  List after swap: [25, 32, -45, 64, -68, -52, -13, -69, 70]
  Compare 64 and -68
  Swap 64 and -68
  List after swap: [25, 32, -45, -68, 64, -52, -13, -69, 70]
  Compare 64 and -52
  Swap 64 and -52
  List after swap: [25, 32, -45, -68, -52, 64, -13, -69, 70]
  Compare 64 and -13
  Swap 64 and -13
  List after swap: [25, 32, -45, -68, -52, -13, 64, -69, 70]
  Compare 64 and -69
  Swap 64 and -69
  List after swap: [25, 32, -45, -68, -52, -13, -69, 64, 70]

Pass 3:
  Compare 25 and 32
  No swap needed
  Compare 32 and -45
  Swap 32 and -45
  List after swap: [25, -45, 32, -68, -52, -13, -69, 64, 70]
  Compare 32 and -68
  Swap 32 and -68
  List after swap: [25, -45, -68, 32, -52, -13, -69, 64, 70]
  Compare 32 and -52
  Swap 32 and -52
  List after swap: [25, -45, -68, -52, 32, -13, -69, 64, 70]
  Compare 32 and -13
  Swap 32 and -13
  List after swap: [25, -45, -68, -52, -13, 32, -69, 64, 70]
  Compare 32 and -69
  Swap 32 and -69
  List after swap: [25, -45, -68, -52, -13, -69, 32, 64, 70]

Pass 4:
  Compare 25 and -45
  Swap 25 and -45
  List after swap: [-45, 25, -68, -52, -13, -69, 32, 64, 70]
  Compare 25 and -68
  Swap 25 and -68
  List after swap: [-45, -68, 25, -52, -13, -69, 32, 64, 70]
  Compare 25 and -52
  Swap 25 and -52
  List after swap: [-45, -68, -52, 25, -13, -69, 32, 64, 70]
  Compare 25 and -13
  Swap 25 and -13
  List after swap: [-45, -68, -52, -13, 25, -69, 32, 64, 70]
  Compare 25 and -69
  Swap 25 and -69
  List after swap: [-45, -68, -52, -13, -69, 25, 32, 64, 70]

Pass 5:
  Compare -45 and -68
  Swap -45 and -68
  List after swap: [-68, -45, -52, -13, -69, 25, 32, 64, 70]
  Compare -45 and -52
  Swap -45 and -52
  List after swap: [-68, -52, -45, -13, -69, 25, 32, 64, 70]
  Compare -45 and -13
  No swap needed
  Compare -13 and -69
  Swap -13 and -69
  List after swap: [-68, -52, -45, -69, -13, 25, 32, 64, 70]

Pass 6:
  Compare -68 and -52
  No swap needed
  Compare -52 and -45
  No swap needed
  Compare -45 and -69
  Swap -45 and -69
  List after swap: [-68, -52, -69, -45, -13, 25, 32, 64, 70]

Pass 7:
  Compare -68 and -52
  No swap needed
  Compare -52 and -69
  Swap -52 and -69
  List after swap: [-68, -69, -52, -45, -13, 25, 32, 64, 70]

Pass 8:
  Compare -68 and -69
  Swap -68 and -69
  List after swap: [-69, -68, -52, -45, -13, 25, 32, 64, 70]

Pass 9:
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -68, -52, -45, -13, 25, 32, 64, 70]
</think>

<response>-69, -68, -52, -45, -13, 25, 32, 64, 70</response>


input: Demonstrate how bubble sort orders the integers 90, 74, 29, -41, -17, -11, 89, -33, -40, -100 in ascending sequence, showing all steps.

output:
<think>
Initial list: [90, 74, 29, -41, -17, -11, 89, -33, -40, -100]

Pass 1:
  Compare 90 and 74
  Swap 90 and 74
  List after swap: [74, 90, 29, -41, -17, -11, 89, -33, -40, -100]
  Compare 90 and 29
  Swap 90 and 29
  List after swap: [74, 29, 90, -41, -17, -11, 89, -33, -40, -100]
  Compare 90 and -41
  Swap 90 and -41
  List after swap: [74, 29, -41, 90, -17, -11, 89, -33, -40, -100]
  Compare 90 and -17
  Swap 90 and -17
  List after swap: [74, 29, -41, -17, 90, -11, 89, -33, -40, -100]
  Compare 90 and -11
  Swap 90 and -11
  List after swap: [74, 29, -41, -17, -11, 90, 89, -33, -40, -100]
  Compare 90 and 89
  Swap 90 and 89
  List after swap: [74, 29, -41, -17, -11, 89, 90, -33, -40, -100]
  Compare 90 and -33
  Swap 90 and -33
  List after swap: [74, 29, -41, -17, -11, 89, -33, 90, -40, -100]
  Compare 90 and -40
  Swap 90 and -40
  List after swap: [74, 29, -41, -17, -11, 89, -33, -40, 90, -100]
  Compare 90 and -100
  Swap 90 and -100
  List after swap: [74, 29, -41, -17, -11, 89, -33, -40, -100, 90]

Pass 2:
  Compare 74 and 29
  Swap 74 and 29
  List after swap: [29, 74, -41, -17, -11, 89, -33, -40, -100, 90]
  Compare 74 and -41
  Swap 74 and -41
  List after swap: [29, -41, 74, -17, -11, 89, -33, -40, -100, 90]
  Compare 74 and -17
  Swap 74 and -17
  List after swap: [29, -41, -17, 74, -11, 89, -33, -40, -100, 90]
  Compare 74 and -11
  Swap 74 and -11
  List after swap: [29, -41, -17, -11, 74, 89, -33, -40, -100, 90]
  Compare 74 and 89
  No swap needed
  Compare 89 and -33
  Swap 89 and -33
  List after swap: [29, -41, -17, -11, 74, -33, 89, -40, -100, 90]
  Compare 89 and -40
  Swap 89 and -40
  List after swap: [29, -41, -17, -11, 74, -33, -40, 89, -100, 90]
  Compare 89 and -100
  Swap 89 and -100
  List after swap: [29, -41, -17, -11, 74, -33, -40, -100, 89, 90]

Pass 3:
  Compare 29 and -41
  Swap 29 and -41
  List after swap: [-41, 29, -17, -11, 74, -33, -40, -100, 89, 90]
  Compare 29 and -17
  Swap 29 and -17
  List after swap: [-41, -17, 29, -11, 74, -33, -40, -100, 89, 90]
  Compare 29 and -11
  Swap 29 and -11
  List after swap: [-41, -17, -11, 29, 74, -33, -40, -100, 89, 90]
  Compare 29 and 74
  No swap needed
  Compare 74 and -33
  Swap 74 and -33
  List after swap: [-41, -17, -11, 29, -33, 74, -40, -100, 89, 90]
  Compare 74 and -40
  Swap 74 and -40
  List after swap: [-41, -17, -11, 29, -33, -40, 74, -100, 89, 90]
  Compare 74 and -100
  Swap 74 and -100
  List after swap: [-41, -17, -11, 29, -33, -40, -100, 74, 89, 90]

Pass 4:
  Compare -41 and -17
  No swap needed
  Compare -17 and -11
  No swap needed
  Compare -11 and 29
  No swap needed
  Compare 29 and -33
  Swap 29 and -33
  List after swap: [-41, -17, -11, -33, 29, -40, -100, 74, 89, 90]
  Compare 29 and -40
  Swap 29 and -40
  List after swap: [-41, -17, -11, -33, -40, 29, -100, 74, 89, 90]
  Compare 29 and -100
  Swap 29 and -100
  List after swap: [-41, -17, -11, -33, -40, -100, 29, 74, 89, 90]

Pass 5:
  Compare -41 and -17
  No swap needed
  Compare -17 and -11
  No swap needed
  Compare -11 and -33
  Swap -11 and -33
  List after swap: [-41, -17, -33, -11, -40, -100, 29, 74, 89, 90]
  Compare -11 and -40
  Swap -11 and -40
  List after swap: [-41, -17, -33, -40, -11, -100, 29, 74, 89, 90]
  Compare -11 and -100
  Swap -11 and -100
  List after swap: [-41, -17, -33, -40, -100, -11, 29, 74, 89, 90]

Pass 6:
  Compare -41 and -17
  No swap needed
  Compare -17 and -33
  Swap -17 and -33
  List after swap: [-41, -33, -17, -40, -100, -11, 29, 74, 89, 90]
  Compare -17 and -40
  Swap -17 and -40
  List after swap: [-41, -33, -40, -17, -100, -11, 29, 74, 89, 90]
  Compare -17 and -100
  Swap -17 and -100
  List after swap: [-41, -33, -40, -100, -17, -11, 29, 74, 89, 90]

Pass 7:
  Compare -41 and -33
  No swap needed
  Compare -33 and -40
  Swap -33 and -40
  List after swap: [-41, -40, -33, -100, -17, -11, 29, 74, 89, 90]
  Compare -33 and -100
  Swap -33 and -100
  List after swap: [-41, -40, -100, -33, -17, -11, 29, 74, 89, 90]

Pass 8:
  Compare -41 and -40
  No swap needed
  Compare -40 and -100
  Swap -40 and -100
  List after swap: [-41, -100, -40, -33, -17, -11, 29, 74, 89, 90]

Pass 9:
  Compare -41 and -100
  Swap -41 and -100
  List after swap: [-100, -41, -40, -33, -17, -11, 29, 74, 89, 90]

Pass 10:
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -41, -40, -33, -17, -11, 29, 74, 89, 90]
</think>

<response>-100, -41, -40, -33, -17, -11, 29, 74, 89, 90</response>


input: Execute bubble sort to sort 89, -54 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [89, -54]

Pass 1:
  Compare 89 and -54
  Swap 89 and -54
  List after swap: [-54, 89]

Pass 2:
  No swaps in this pass, list is sorted.

Final sorted list: [-54, 89]
</think>

<response>-54, 89</response>


input: Use the bubble sort technique to reorder 17, 91, -96, -67, -83, -84, 48 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [17, 91, -96, -67, -83, -84, 48]

Pass 1:
  Compare 17 and 91
  No swap needed
  Compare 91 and -96
  Swap 91 and -96
  List after swap: [17, -96, 91, -67, -83, -84, 48]
  Compare 91 and -67
  Swap 91 and -67
  List after swap: [17, -96, -67, 91, -83, -84, 48]
  Compare 91 and -83
  Swap 91 and -83
  List after swap: [17, -96, -67, -83, 91, -84, 48]
  Compare 91 and -84
  Swap 91 and -84
  List after swap: [17, -96, -67, -83, -84, 91, 48]
  Compare 91 and 48
  Swap 91 and 48
  List after swap: [17, -96, -67, -83, -84, 48, 91]

Pass 2:
  Compare 17 and -96
  Swap 17 and -96
  List after swap: [-96, 17, -67, -83, -84, 48, 91]
  Compare 17 and -67
  Swap 17 and -67
  List after swap: [-96, -67, 17, -83, -84, 48, 91]
  Compare 17 and -83
  Swap 17 and -83
  List after swap: [-96, -67, -83, 17, -84, 48, 91]
  Compare 17 and -84
  Swap 17 and -84
  List after swap: [-96, -67, -83, -84, 17, 48, 91]
  Compare 17 and 48
  No swap needed

Pass 3:
  Compare -96 and -67
  No swap needed
  Compare -67 and -83
  Swap -67 and -83
  List after swap: [-96, -83, -67, -84, 17, 48, 91]
  Compare -67 and -84
  Swap -67 and -84
  List after swap: [-96, -83, -84, -67, 17, 48, 91]
  Compare -67 and 17
  No swap needed

Pass 4:
  Compare -96 and -83
  No swap needed
  Compare -83 and -84
  Swap -83 and -84
  List after swap: [-96, -84, -83, -67, 17, 48, 91]
  Compare -83 and -67
  No swap needed

Pass 5:
  Compare -96 and -84
  No swap needed
  Compare -84 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -84, -83, -67, 17, 48, 91]
</think>

<response>-96, -84, -83, -67, 17, 48, 91</response>


input: Sort the list -76, 39, 87, -6, 27, -43, -24, 93, 81, -41 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-76, 39, 87, -6, 27, -43, -24, 93, 81, -41]

Pass 1:
  Compare -76 and 39
  No swap needed
  Compare 39 and 87
  No swap needed
  Compare 87 and -6
  Swap 87 and -6
  List after swap: [-76, 39, -6, 87, 27, -43, -24, 93, 81, -41]
  Compare 87 and 27
  Swap 87 and 27
  List after swap: [-76, 39, -6, 27, 87, -43, -24, 93, 81, -41]
  Compare 87 and -43
  Swap 87 and -43
  List after swap: [-76, 39, -6, 27, -43, 87, -24, 93, 81, -41]
  Compare 87 and -24
  Swap 87 and -24
  List after swap: [-76, 39, -6, 27, -43, -24, 87, 93, 81, -41]
  Compare 87 and 93
  No swap needed
  Compare 93 and 81
  Swap 93 and 81
  List after swap: [-76, 39, -6, 27, -43, -24, 87, 81, 93, -41]
  Compare 93 and -41
  Swap 93 and -41
  List after swap: [-76, 39, -6, 27, -43, -24, 87, 81, -41, 93]

Pass 2:
  Compare -76 and 39
  No swap needed
  Compare 39 and -6
  Swap 39 and -6
  List after swap: [-76, -6, 39, 27, -43, -24, 87, 81, -41, 93]
  Compare 39 and 27
  Swap 39 and 27
  List after swap: [-76, -6, 27, 39, -43, -24, 87, 81, -41, 93]
  Compare 39 and -43
  Swap 39 and -43
  List after swap: [-76, -6, 27, -43, 39, -24, 87, 81, -41, 93]
  Compare 39 and -24
  Swap 39 and -24
  List after swap: [-76, -6, 27, -43, -24, 39, 87, 81, -41, 93]
  Compare 39 and 87
  No swap needed
  Compare 87 and 81
  Swap 87 and 81
  List after swap: [-76, -6, 27, -43, -24, 39, 81, 87, -41, 93]
  Compare 87 and -41
  Swap 87 and -41
  List after swap: [-76, -6, 27, -43, -24, 39, 81, -41, 87, 93]

Pass 3:
  Compare -76 and -6
  No swap needed
  Compare -6 and 27
  No swap needed
  Compare 27 and -43
  Swap 27 and -43
  List after swap: [-76, -6, -43, 27, -24, 39, 81, -41, 87, 93]
  Compare 27 and -24
  Swap 27 and -24
  List after swap: [-76, -6, -43, -24, 27, 39, 81, -41, 87, 93]
  Compare 27 and 39
  No swap needed
  Compare 39 and 81
  No swap needed
  Compare 81 and -41
  Swap 81 and -41
  List after swap: [-76, -6, -43, -24, 27, 39, -41, 81, 87, 93]

Pass 4:
  Compare -76 and -6
  No swap needed
  Compare -6 and -43
  Swap -6 and -43
  List after swap: [-76, -43, -6, -24, 27, 39, -41, 81, 87, 93]
  Compare -6 and -24
  Swap -6 and -24
  List after swap: [-76, -43, -24, -6, 27, 39, -41, 81, 87, 93]
  Compare -6 and 27
  No swap needed
  Compare 27 and 39
  No swap needed
  Compare 39 and -41
  Swap 39 and -41
  List after swap: [-76, -43, -24, -6, 27, -41, 39, 81, 87, 93]

Pass 5:
  Compare -76 and -43
  No swap needed
  Compare -43 and -24
  No swap needed
  Compare -24 and -6
  No swap needed
  Compare -6 and 27
  No swap needed
  Compare 27 and -41
  Swap 27 and -41
  List after swap: [-76, -43, -24, -6, -41, 27, 39, 81, 87, 93]

Pass 6:
  Compare -76 and -43
  No swap needed
  Compare -43 and -24
  No swap needed
  Compare -24 and -6
  No swap needed
  Compare -6 and -41
  Swap -6 and -41
  List after swap: [-76, -43, -24, -41, -6, 27, 39, 81, 87, 93]

Pass 7:
  Compare -76 and -43
  No swap needed
  Compare -43 and -24
  No swap needed
  Compare -24 and -41
  Swap -24 and -41
  List after swap: [-76, -43, -41, -24, -6, 27, 39, 81, 87, 93]

Pass 8:
  Compare -76 and -43
  No swap needed
  Compare -43 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -43, -41, -24, -6, 27, 39, 81, 87, 93]
</think>

<response>-76, -43, -41, -24, -6, 27, 39, 81, 87, 93</response>


input: Demonstrate how bubble sort orders the integers -9, 65, 25, 71, 28, -40, -72, -71, -80, -89 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-9, 65, 25, 71, 28, -40, -72, -71, -80, -89]

Pass 1:
  Compare -9 and 65
  No swap needed
  Compare 65 and 25
  Swap 65 and 25
  List after swap: [-9, 25, 65, 71, 28, -40, -72, -71, -80, -89]
  Compare 65 and 71
  No swap needed
  Compare 71 and 28
  Swap 71 and 28
  List after swap: [-9, 25, 65, 28, 71, -40, -72, -71, -80, -89]
  Compare 71 and -40
  Swap 71 and -40
  List after swap: [-9, 25, 65, 28, -40, 71, -72, -71, -80, -89]
  Compare 71 and -72
  Swap 71 and -72
  List after swap: [-9, 25, 65, 28, -40, -72, 71, -71, -80, -89]
  Compare 71 and -71
  Swap 71 and -71
  List after swap: [-9, 25, 65, 28, -40, -72, -71, 71, -80, -89]
  Compare 71 and -80
  Swap 71 and -80
  List after swap: [-9, 25, 65, 28, -40, -72, -71, -80, 71, -89]
  Compare 71 and -89
  Swap 71 and -89
  List after swap: [-9, 25, 65, 28, -40, -72, -71, -80, -89, 71]

Pass 2:
  Compare -9 and 25
  No swap needed
  Compare 25 and 65
  No swap needed
  Compare 65 and 28
  Swap 65 and 28
  List after swap: [-9, 25, 28, 65, -40, -72, -71, -80, -89, 71]
  Compare 65 and -40
  Swap 65 and -40
  List after swap: [-9, 25, 28, -40, 65, -72, -71, -80, -89, 71]
  Compare 65 and -72
  Swap 65 and -72
  List after swap: [-9, 25, 28, -40, -72, 65, -71, -80, -89, 71]
  Compare 65 and -71
  Swap 65 and -71
  List after swap: [-9, 25, 28, -40, -72, -71, 65, -80, -89, 71]
  Compare 65 and -80
  Swap 65 and -80
  List after swap: [-9, 25, 28, -40, -72, -71, -80, 65, -89, 71]
  Compare 65 and -89
  Swap 65 and -89
  List after swap: [-9, 25, 28, -40, -72, -71, -80, -89, 65, 71]

Pass 3:
  Compare -9 and 25
  No swap needed
  Compare 25 and 28
  No swap needed
  Compare 28 and -40
  Swap 28 and -40
  List after swap: [-9, 25, -40, 28, -72, -71, -80, -89, 65, 71]
  Compare 28 and -72
  Swap 28 and -72
  List after swap: [-9, 25, -40, -72, 28, -71, -80, -89, 65, 71]
  Compare 28 and -71
  Swap 28 and -71
  List after swap: [-9, 25, -40, -72, -71, 28, -80, -89, 65, 71]
  Compare 28 and -80
  Swap 28 and -80
  List after swap: [-9, 25, -40, -72, -71, -80, 28, -89, 65, 71]
  Compare 28 and -89
  Swap 28 and -89
  List after swap: [-9, 25, -40, -72, -71, -80, -89, 28, 65, 71]

Pass 4:
  Compare -9 and 25
  No swap needed
  Compare 25 and -40
  Swap 25 and -40
  List after swap: [-9, -40, 25, -72, -71, -80, -89, 28, 65, 71]
  Compare 25 and -72
  Swap 25 and -72
  List after swap: [-9, -40, -72, 25, -71, -80, -89, 28, 65, 71]
  Compare 25 and -71
  Swap 25 and -71
  List after swap: [-9, -40, -72, -71, 25, -80, -89, 28, 65, 71]
  Compare 25 and -80
  Swap 25 and -80
  List after swap: [-9, -40, -72, -71, -80, 25, -89, 28, 65, 71]
  Compare 25 and -89
  Swap 25 and -89
  List after swap: [-9, -40, -72, -71, -80, -89, 25, 28, 65, 71]

Pass 5:
  Compare -9 and -40
  Swap -9 and -40
  List after swap: [-40, -9, -72, -71, -80, -89, 25, 28, 65, 71]
  Compare -9 and -72
  Swap -9 and -72
  List after swap: [-40, -72, -9, -71, -80, -89, 25, 28, 65, 71]
  Compare -9 and -71
  Swap -9 and -71
  List after swap: [-40, -72, -71, -9, -80, -89, 25, 28, 65, 71]
  Compare -9 and -80
  Swap -9 and -80
  List after swap: [-40, -72, -71, -80, -9, -89, 25, 28, 65, 71]
  Compare -9 and -89
  Swap -9 and -89
  List after swap: [-40, -72, -71, -80, -89, -9, 25, 28, 65, 71]

Pass 6:
  Compare -40 and -72
  Swap -40 and -72
  List after swap: [-72, -40, -71, -80, -89, -9, 25, 28, 65, 71]
  Compare -40 and -71
  Swap -40 and -71
  List after swap: [-72, -71, -40, -80, -89, -9, 25, 28, 65, 71]
  Compare -40 and -80
  Swap -40 and -80
  List after swap: [-72, -71, -80, -40, -89, -9, 25, 28, 65, 71]
  Compare -40 and -89
  Swap -40 and -89
  List after swap: [-72, -71, -80, -89, -40, -9, 25, 28, 65, 71]

Pass 7:
  Compare -72 and -71
  No swap needed
  Compare -71 and -80
  Swap -71 and -80
  List after swap: [-72, -80, -71, -89, -40, -9, 25, 28, 65, 71]
  Compare -71 and -89
  Swap -71 and -89
  List after swap: [-72, -80, -89, -71, -40, -9, 25, 28, 65, 71]

Pass 8:
  Compare -72 and -80
  Swap -72 and -80
  List after swap: [-80, -72, -89, -71, -40, -9, 25, 28, 65, 71]
  Compare -72 and -89
  Swap -72 and -89
  List after swap: [-80, -89, -72, -71, -40, -9, 25, 28, 65, 71]

Pass 9:
  Compare -80 and -89
  Swap -80 and -89
  List after swap: [-89, -80, -72, -71, -40, -9, 25, 28, 65, 71]

Pass 10:
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -80, -72, -71, -40, -9, 25, 28, 65, 71]
</think>

<response>-89, -80, -72, -71, -40, -9, 25, 28, 65, 71</response>


input: Using the bubble sort method, sort 40, -49 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [40, -49]

Pass 1:
  Compare 40 and -49
  Swap 40 and -49
  List after swap: [-49, 40]

Pass 2:
  No swaps in this pass, list is sorted.

Final sorted list: [-49, 40]
</think>

<response>-49, 40</response>


input: Demonstrate how bubble sort orders the integers 5, -49, -17, -46, 18, -34, 31 in ascending sequence, showing all steps.

output:
<think>
Initial list: [5, -49, -17, -46, 18, -34, 31]

Pass 1:
  Compare 5 and -49
  Swap 5 and -49
  List after swap: [-49, 5, -17, -46, 18, -34, 31]
  Compare 5 and -17
  Swap 5 and -17
  List after swap: [-49, -17, 5, -46, 18, -34, 31]
  Compare 5 and -46
  Swap 5 and -46
  List after swap: [-49, -17, -46, 5, 18, -34, 31]
  Compare 5 and 18
  No swap needed
  Compare 18 and -34
  Swap 18 and -34
  List after swap: [-49, -17, -46, 5, -34, 18, 31]
  Compare 18 and 31
  No swap needed

Pass 2:
  Compare -49 and -17
  No swap needed
  Compare -17 and -46
  Swap -17 and -46
  List after swap: [-49, -46, -17, 5, -34, 18, 31]
  Compare -17 and 5
  No swap needed
  Compare 5 and -34
  Swap 5 and -34
  List after swap: [-49, -46, -17, -34, 5, 18, 31]
  Compare 5 and 18
  No swap needed

Pass 3:
  Compare -49 and -46
  No swap needed
  Compare -46 and -17
  No swap needed
  Compare -17 and -34
  Swap -17 and -34
  List after swap: [-49, -46, -34, -17, 5, 18, 31]
  Compare -17 and 5
  No swap needed

Pass 4:
  Compare -49 and -46
  No swap needed
  Compare -46 and -34
  No swap needed
  Compare -34 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -46, -34, -17, 5, 18, 31]
</think>

<response>-49, -46, -34, -17, 5, 18, 31</response>


input: Demonstrate how bubble sort orders the integers -65, 96, 62 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-65, 96, 62]

Pass 1:
  Compare -65 and 96
  No swap needed
  Compare 96 and 62
  Swap 96 and 62
  List after swap: [-65, 62, 96]

Pass 2:
  Compare -65 and 62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, 62, 96]
</think>

<response>-65, 62, 96</response>


input: Arrange the numbers 23, -72, -47, 91, 51, -52, 10, -79, -25 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [23, -72, -47, 91, 51, -52, 10, -79, -25]

Pass 1:
  Compare 23 and -72
  Swap 23 and -72
  List after swap: [-72, 23, -47, 91, 51, -52, 10, -79, -25]
  Compare 23 and -47
  Swap 23 and -47
  List after swap: [-72, -47, 23, 91, 51, -52, 10, -79, -25]
  Compare 23 and 91
  No swap needed
  Compare 91 and 51
  Swap 91 and 51
  List after swap: [-72, -47, 23, 51, 91, -52, 10, -79, -25]
  Compare 91 and -52
  Swap 91 and -52
  List after swap: [-72, -47, 23, 51, -52, 91, 10, -79, -25]
  Compare 91 and 10
  Swap 91 and 10
  List after swap: [-72, -47, 23, 51, -52, 10, 91, -79, -25]
  Compare 91 and -79
  Swap 91 and -79
  List after swap: [-72, -47, 23, 51, -52, 10, -79, 91, -25]
  Compare 91 and -25
  Swap 91 and -25
  List after swap: [-72, -47, 23, 51, -52, 10, -79, -25, 91]

Pass 2:
  Compare -72 and -47
  No swap needed
  Compare -47 and 23
  No swap needed
  Compare 23 and 51
  No swap needed
  Compare 51 and -52
  Swap 51 and -52
  List after swap: [-72, -47, 23, -52, 51, 10, -79, -25, 91]
  Compare 51 and 10
  Swap 51 and 10
  List after swap: [-72, -47, 23, -52, 10, 51, -79, -25, 91]
  Compare 51 and -79
  Swap 51 and -79
  List after swap: [-72, -47, 23, -52, 10, -79, 51, -25, 91]
  Compare 51 and -25
  Swap 51 and -25
  List after swap: [-72, -47, 23, -52, 10, -79, -25, 51, 91]

Pass 3:
  Compare -72 and -47
  No swap needed
  Compare -47 and 23
  No swap needed
  Compare 23 and -52
  Swap 23 and -52
  List after swap: [-72, -47, -52, 23, 10, -79, -25, 51, 91]
  Compare 23 and 10
  Swap 23 and 10
  List after swap: [-72, -47, -52, 10, 23, -79, -25, 51, 91]
  Compare 23 and -79
  Swap 23 and -79
  List after swap: [-72, -47, -52, 10, -79, 23, -25, 51, 91]
  Compare 23 and -25
  Swap 23 and -25
  List after swap: [-72, -47, -52, 10, -79, -25, 23, 51, 91]

Pass 4:
  Compare -72 and -47
  No swap needed
  Compare -47 and -52
  Swap -47 and -52
  List after swap: [-72, -52, -47, 10, -79, -25, 23, 51, 91]
  Compare -47 and 10
  No swap needed
  Compare 10 and -79
  Swap 10 and -79
  List after swap: [-72, -52, -47, -79, 10, -25, 23, 51, 91]
  Compare 10 and -25
  Swap 10 and -25
  List after swap: [-72, -52, -47, -79, -25, 10, 23, 51, 91]

Pass 5:
  Compare -72 and -52
  No swap needed
  Compare -52 and -47
  No swap needed
  Compare -47 and -79
  Swap -47 and -79
  List after swap: [-72, -52, -79, -47, -25, 10, 23, 51, 91]
  Compare -47 and -25
  No swap needed

Pass 6:
  Compare -72 and -52
  No swap needed
  Compare -52 and -79
  Swap -52 and -79
  List after swap: [-72, -79, -52, -47, -25, 10, 23, 51, 91]
  Compare -52 and -47
  No swap needed

Pass 7:
  Compare -72 and -79
  Swap -72 and -79
  List after swap: [-79, -72, -52, -47, -25, 10, 23, 51, 91]
  Compare -72 and -52
  No swap needed

Pass 8:
  Compare -79 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -72, -52, -47, -25, 10, 23, 51, 91]
</think>

<response>-79, -72, -52, -47, -25, 10, 23, 51, 91</response>


input: Use the bubble sort technique to reorder 57, 74 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [57, 74]

Pass 1:
  Compare 57 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [57, 74]
</think>

<response>57, 74</response>


input: Execute bubble sort to sort -90, -28, 39, 96, 95, 34, 43 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-90, -28, 39, 96, 95, 34, 43]

Pass 1:
  Compare -90 and -28
  No swap needed
  Compare -28 and 39
  No swap needed
  Compare 39 and 96
  No swap needed
  Compare 96 and 95
  Swap 96 and 95
  List after swap: [-90, -28, 39, 95, 96, 34, 43]
  Compare 96 and 34
  Swap 96 and 34
  List after swap: [-90, -28, 39, 95, 34, 96, 43]
  Compare 96 and 43
  Swap 96 and 43
  List after swap: [-90, -28, 39, 95, 34, 43, 96]

Pass 2:
  Compare -90 and -28
  No swap needed
  Compare -28 and 39
  No swap needed
  Compare 39 and 95
  No swap needed
  Compare 95 and 34
  Swap 95 and 34
  List after swap: [-90, -28, 39, 34, 95, 43, 96]
  Compare 95 and 43
  Swap 95 and 43
  List after swap: [-90, -28, 39, 34, 43, 95, 96]

Pass 3:
  Compare -90 and -28
  No swap needed
  Compare -28 and 39
  No swap needed
  Compare 39 and 34
  Swap 39 and 34
  List after swap: [-90, -28, 34, 39, 43, 95, 96]
  Compare 39 and 43
  No swap needed

Pass 4:
  Compare -90 and -28
  No swap needed
  Compare -28 and 34
  No swap needed
  Compare 34 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -28, 34, 39, 43, 95, 96]
</think>

<response>-90, -28, 34, 39, 43, 95, 96</response>


input: Sort the list 70, 85, 41, -11, 48, -87, -80, -52, -72, -59 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [70, 85, 41, -11, 48, -87, -80, -52, -72, -59]

Pass 1:
  Compare 70 and 85
  No swap needed
  Compare 85 and 41
  Swap 85 and 41
  List after swap: [70, 41, 85, -11, 48, -87, -80, -52, -72, -59]
  Compare 85 and -11
  Swap 85 and -11
  List after swap: [70, 41, -11, 85, 48, -87, -80, -52, -72, -59]
  Compare 85 and 48
  Swap 85 and 48
  List after swap: [70, 41, -11, 48, 85, -87, -80, -52, -72, -59]
  Compare 85 and -87
  Swap 85 and -87
  List after swap: [70, 41, -11, 48, -87, 85, -80, -52, -72, -59]
  Compare 85 and -80
  Swap 85 and -80
  List after swap: [70, 41, -11, 48, -87, -80, 85, -52, -72, -59]
  Compare 85 and -52
  Swap 85 and -52
  List after swap: [70, 41, -11, 48, -87, -80, -52, 85, -72, -59]
  Compare 85 and -72
  Swap 85 and -72
  List after swap: [70, 41, -11, 48, -87, -80, -52, -72, 85, -59]
  Compare 85 and -59
  Swap 85 and -59
  List after swap: [70, 41, -11, 48, -87, -80, -52, -72, -59, 85]

Pass 2:
  Compare 70 and 41
  Swap 70 and 41
  List after swap: [41, 70, -11, 48, -87, -80, -52, -72, -59, 85]
  Compare 70 and -11
  Swap 70 and -11
  List after swap: [41, -11, 70, 48, -87, -80, -52, -72, -59, 85]
  Compare 70 and 48
  Swap 70 and 48
  List after swap: [41, -11, 48, 70, -87, -80, -52, -72, -59, 85]
  Compare 70 and -87
  Swap 70 and -87
  List after swap: [41, -11, 48, -87, 70, -80, -52, -72, -59, 85]
  Compare 70 and -80
  Swap 70 and -80
  List after swap: [41, -11, 48, -87, -80, 70, -52, -72, -59, 85]
  Compare 70 and -52
  Swap 70 and -52
  List after swap: [41, -11, 48, -87, -80, -52, 70, -72, -59, 85]
  Compare 70 and -72
  Swap 70 and -72
  List after swap: [41, -11, 48, -87, -80, -52, -72, 70, -59, 85]
  Compare 70 and -59
  Swap 70 and -59
  List after swap: [41, -11, 48, -87, -80, -52, -72, -59, 70, 85]

Pass 3:
  Compare 41 and -11
  Swap 41 and -11
  List after swap: [-11, 41, 48, -87, -80, -52, -72, -59, 70, 85]
  Compare 41 and 48
  No swap needed
  Compare 48 and -87
  Swap 48 and -87
  List after swap: [-11, 41, -87, 48, -80, -52, -72, -59, 70, 85]
  Compare 48 and -80
  Swap 48 and -80
  List after swap: [-11, 41, -87, -80, 48, -52, -72, -59, 70, 85]
  Compare 48 and -52
  Swap 48 and -52
  List after swap: [-11, 41, -87, -80, -52, 48, -72, -59, 70, 85]
  Compare 48 and -72
  Swap 48 and -72
  List after swap: [-11, 41, -87, -80, -52, -72, 48, -59, 70, 85]
  Compare 48 and -59
  Swap 48 and -59
  List after swap: [-11, 41, -87, -80, -52, -72, -59, 48, 70, 85]

Pass 4:
  Compare -11 and 41
  No swap needed
  Compare 41 and -87
  Swap 41 and -87
  List after swap: [-11, -87, 41, -80, -52, -72, -59, 48, 70, 85]
  Compare 41 and -80
  Swap 41 and -80
  List after swap: [-11, -87, -80, 41, -52, -72, -59, 48, 70, 85]
  Compare 41 and -52
  Swap 41 and -52
  List after swap: [-11, -87, -80, -52, 41, -72, -59, 48, 70, 85]
  Compare 41 and -72
  Swap 41 and -72
  List after swap: [-11, -87, -80, -52, -72, 41, -59, 48, 70, 85]
  Compare 41 and -59
  Swap 41 and -59
  List after swap: [-11, -87, -80, -52, -72, -59, 41, 48, 70, 85]

Pass 5:
  Compare -11 and -87
  Swap -11 and -87
  List after swap: [-87, -11, -80, -52, -72, -59, 41, 48, 70, 85]
  Compare -11 and -80
  Swap -11 and -80
  List after swap: [-87, -80, -11, -52, -72, -59, 41, 48, 70, 85]
  Compare -11 and -52
  Swap -11 and -52
  List after swap: [-87, -80, -52, -11, -72, -59, 41, 48, 70, 85]
  Compare -11 and -72
  Swap -11 and -72
  List after swap: [-87, -80, -52, -72, -11, -59, 41, 48, 70, 85]
  Compare -11 and -59
  Swap -11 and -59
  List after swap: [-87, -80, -52, -72, -59, -11, 41, 48, 70, 85]

Pass 6:
  Compare -87 and -80
  No swap needed
  Compare -80 and -52
  No swap needed
  Compare -52 and -72
  Swap -52 and -72
  List after swap: [-87, -80, -72, -52, -59, -11, 41, 48, 70, 85]
  Compare -52 and -59
  Swap -52 and -59
  List after swap: [-87, -80, -72, -59, -52, -11, 41, 48, 70, 85]

Pass 7:
  Compare -87 and -80
  No swap needed
  Compare -80 and -72
  No swap needed
  Compare -72 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -80, -72, -59, -52, -11, 41, 48, 70, 85]
</think>

<response>-87, -80, -72, -59, -52, -11, 41, 48, 70, 85</response>


input: Execute bubble sort to sort 17, 40, 83, -90, 98 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [17, 40, 83, -90, 98]

Pass 1:
  Compare 17 and 40
  No swap needed
  Compare 40 and 83
  No swap needed
  Compare 83 and -90
  Swap 83 and -90
  List after swap: [17, 40, -90, 83, 98]
  Compare 83 and 98
  No swap needed

Pass 2:
  Compare 17 and 40
  No swap needed
  Compare 40 and -90
  Swap 40 and -90
  List after swap: [17, -90, 40, 83, 98]
  Compare 40 and 83
  No swap needed

Pass 3:
  Compare 17 and -90
  Swap 17 and -90
  List after swap: [-90, 17, 40, 83, 98]
  Compare 17 and 40
  No swap needed

Pass 4:
  Compare -90 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 17, 40, 83, 98]
</think>

<response>-90, 17, 40, 83, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 64, -7, -39, -33, -47.

output:
<think>
Initial list: [64, -7, -39, -33, -47]

Pass 1:
  Compare 64 and -7
  Swap 64 and -7
  List after swap: [-7, 64, -39, -33, -47]
  Compare 64 and -39
  Swap 64 and -39
  List after swap: [-7, -39, 64, -33, -47]
  Compare 64 and -33
  Swap 64 and -33
  List after swap: [-7, -39, -33, 64, -47]
  Compare 64 and -47
  Swap 64 and -47
  List after swap: [-7, -39, -33, -47, 64]

Pass 2:
  Compare -7 and -39
  Swap -7 and -39
  List after swap: [-39, -7, -33, -47, 64]
  Compare -7 and -33
  Swap -7 and -33
  List after swap: [-39, -33, -7, -47, 64]
  Compare -7 and -47
  Swap -7 and -47
  List after swap: [-39, -33, -47, -7, 64]

Pass 3:
  Compare -39 and -33
  No swap needed
  Compare -33 and -47
  Swap -33 and -47
  List after swap: [-39, -47, -33, -7, 64]

Pass 4:
  Compare -39 and -47
  Swap -39 and -47
  List after swap: [-47, -39, -33, -7, 64]

Pass 5:
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -39, -33, -7, 64]
</think>

<response>-47, -39, -33, -7, 64</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 4, 43, 15, -27, 13, -16, -97, 66.

output:
<think>
Initial list: [4, 43, 15, -27, 13, -16, -97, 66]

Pass 1:
  Compare 4 and 43
  No swap needed
  Compare 43 and 15
  Swap 43 and 15
  List after swap: [4, 15, 43, -27, 13, -16, -97, 66]
  Compare 43 and -27
  Swap 43 and -27
  List after swap: [4, 15, -27, 43, 13, -16, -97, 66]
  Compare 43 and 13
  Swap 43 and 13
  List after swap: [4, 15, -27, 13, 43, -16, -97, 66]
  Compare 43 and -16
  Swap 43 and -16
  List after swap: [4, 15, -27, 13, -16, 43, -97, 66]
  Compare 43 and -97
  Swap 43 and -97
  List after swap: [4, 15, -27, 13, -16, -97, 43, 66]
  Compare 43 and 66
  No swap needed

Pass 2:
  Compare 4 and 15
  No swap needed
  Compare 15 and -27
  Swap 15 and -27
  List after swap: [4, -27, 15, 13, -16, -97, 43, 66]
  Compare 15 and 13
  Swap 15 and 13
  List after swap: [4, -27, 13, 15, -16, -97, 43, 66]
  Compare 15 and -16
  Swap 15 and -16
  List after swap: [4, -27, 13, -16, 15, -97, 43, 66]
  Compare 15 and -97
  Swap 15 and -97
  List after swap: [4, -27, 13, -16, -97, 15, 43, 66]
  Compare 15 and 43
  No swap needed

Pass 3:
  Compare 4 and -27
  Swap 4 and -27
  List after swap: [-27, 4, 13, -16, -97, 15, 43, 66]
  Compare 4 and 13
  No swap needed
  Compare 13 and -16
  Swap 13 and -16
  List after swap: [-27, 4, -16, 13, -97, 15, 43, 66]
  Compare 13 and -97
  Swap 13 and -97
  List after swap: [-27, 4, -16, -97, 13, 15, 43, 66]
  Compare 13 and 15
  No swap needed

Pass 4:
  Compare -27 and 4
  No swap needed
  Compare 4 and -16
  Swap 4 and -16
  List after swap: [-27, -16, 4, -97, 13, 15, 43, 66]
  Compare 4 and -97
  Swap 4 and -97
  List after swap: [-27, -16, -97, 4, 13, 15, 43, 66]
  Compare 4 and 13
  No swap needed

Pass 5:
  Compare -27 and -16
  No swap needed
  Compare -16 and -97
  Swap -16 and -97
  List after swap: [-27, -97, -16, 4, 13, 15, 43, 66]
  Compare -16 and 4
  No swap needed

Pass 6:
  Compare -27 and -97
  Swap -27 and -97
  List after swap: [-97, -27, -16, 4, 13, 15, 43, 66]
  Compare -27 and -16
  No swap needed

Pass 7:
  Compare -97 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -27, -16, 4, 13, 15, 43, 66]
</think>

<response>-97, -27, -16, 4, 13, 15, 43, 66</response>


input: Carry out the bubble sort algorithm on 67, 73, -100, -45, -27, 62, -54, 48, -91 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [67, 73, -100, -45, -27, 62, -54, 48, -91]

Pass 1:
  Compare 67 and 73
  No swap needed
  Compare 73 and -100
  Swap 73 and -100
  List after swap: [67, -100, 73, -45, -27, 62, -54, 48, -91]
  Compare 73 and -45
  Swap 73 and -45
  List after swap: [67, -100, -45, 73, -27, 62, -54, 48, -91]
  Compare 73 and -27
  Swap 73 and -27
  List after swap: [67, -100, -45, -27, 73, 62, -54, 48, -91]
  Compare 73 and 62
  Swap 73 and 62
  List after swap: [67, -100, -45, -27, 62, 73, -54, 48, -91]
  Compare 73 and -54
  Swap 73 and -54
  List after swap: [67, -100, -45, -27, 62, -54, 73, 48, -91]
  Compare 73 and 48
  Swap 73 and 48
  List after swap: [67, -100, -45, -27, 62, -54, 48, 73, -91]
  Compare 73 and -91
  Swap 73 and -91
  List after swap: [67, -100, -45, -27, 62, -54, 48, -91, 73]

Pass 2:
  Compare 67 and -100
  Swap 67 and -100
  List after swap: [-100, 67, -45, -27, 62, -54, 48, -91, 73]
  Compare 67 and -45
  Swap 67 and -45
  List after swap: [-100, -45, 67, -27, 62, -54, 48, -91, 73]
  Compare 67 and -27
  Swap 67 and -27
  List after swap: [-100, -45, -27, 67, 62, -54, 48, -91, 73]
  Compare 67 and 62
  Swap 67 and 62
  List after swap: [-100, -45, -27, 62, 67, -54, 48, -91, 73]
  Compare 67 and -54
  Swap 67 and -54
  List after swap: [-100, -45, -27, 62, -54, 67, 48, -91, 73]
  Compare 67 and 48
  Swap 67 and 48
  List after swap: [-100, -45, -27, 62, -54, 48, 67, -91, 73]
  Compare 67 and -91
  Swap 67 and -91
  List after swap: [-100, -45, -27, 62, -54, 48, -91, 67, 73]

Pass 3:
  Compare -100 and -45
  No swap needed
  Compare -45 and -27
  No swap needed
  Compare -27 and 62
  No swap needed
  Compare 62 and -54
  Swap 62 and -54
  List after swap: [-100, -45, -27, -54, 62, 48, -91, 67, 73]
  Compare 62 and 48
  Swap 62 and 48
  List after swap: [-100, -45, -27, -54, 48, 62, -91, 67, 73]
  Compare 62 and -91
  Swap 62 and -91
  List after swap: [-100, -45, -27, -54, 48, -91, 62, 67, 73]

Pass 4:
  Compare -100 and -45
  No swap needed
  Compare -45 and -27
  No swap needed
  Compare -27 and -54
  Swap -27 and -54
  List after swap: [-100, -45, -54, -27, 48, -91, 62, 67, 73]
  Compare -27 and 48
  No swap needed
  Compare 48 and -91
  Swap 48 and -91
  List after swap: [-100, -45, -54, -27, -91, 48, 62, 67, 73]

Pass 5:
  Compare -100 and -45
  No swap needed
  Compare -45 and -54
  Swap -45 and -54
  List after swap: [-100, -54, -45, -27, -91, 48, 62, 67, 73]
  Compare -45 and -27
  No swap needed
  Compare -27 and -91
  Swap -27 and -91
  List after swap: [-100, -54, -45, -91, -27, 48, 62, 67, 73]

Pass 6:
  Compare -100 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  Compare -45 and -91
  Swap -45 and -91
  List after swap: [-100, -54, -91, -45, -27, 48, 62, 67, 73]

Pass 7:
  Compare -100 and -54
  No swap needed
  Compare -54 and -91
  Swap -54 and -91
  List after swap: [-100, -91, -54, -45, -27, 48, 62, 67, 73]

Pass 8:
  Compare -100 and -91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -91, -54, -45, -27, 48, 62, 67, 73]
</think>

<response>-100, -91, -54, -45, -27, 48, 62, 67, 73</response>


input: Perform a bubble sort on the integers 21, 24, 80, 5, -46, 75, -60, 58, -12, 4, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [21, 24, 80, 5, -46, 75, -60, 58, -12, 4]

Pass 1:
  Compare 21 and 24
  No swap needed
  Compare 24 and 80
  No swap needed
  Compare 80 and 5
  Swap 80 and 5
  List after swap: [21, 24, 5, 80, -46, 75, -60, 58, -12, 4]
  Compare 80 and -46
  Swap 80 and -46
  List after swap: [21, 24, 5, -46, 80, 75, -60, 58, -12, 4]
  Compare 80 and 75
  Swap 80 and 75
  List after swap: [21, 24, 5, -46, 75, 80, -60, 58, -12, 4]
  Compare 80 and -60
  Swap 80 and -60
  List after swap: [21, 24, 5, -46, 75, -60, 80, 58, -12, 4]
  Compare 80 and 58
  Swap 80 and 58
  List after swap: [21, 24, 5, -46, 75, -60, 58, 80, -12, 4]
  Compare 80 and -12
  Swap 80 and -12
  List after swap: [21, 24, 5, -46, 75, -60, 58, -12, 80, 4]
  Compare 80 and 4
  Swap 80 and 4
  List after swap: [21, 24, 5, -46, 75, -60, 58, -12, 4, 80]

Pass 2:
  Compare 21 and 24
  No swap needed
  Compare 24 and 5
  Swap 24 and 5
  List after swap: [21, 5, 24, -46, 75, -60, 58, -12, 4, 80]
  Compare 24 and -46
  Swap 24 and -46
  List after swap: [21, 5, -46, 24, 75, -60, 58, -12, 4, 80]
  Compare 24 and 75
  No swap needed
  Compare 75 and -60
  Swap 75 and -60
  List after swap: [21, 5, -46, 24, -60, 75, 58, -12, 4, 80]
  Compare 75 and 58
  Swap 75 and 58
  List after swap: [21, 5, -46, 24, -60, 58, 75, -12, 4, 80]
  Compare 75 and -12
  Swap 75 and -12
  List after swap: [21, 5, -46, 24, -60, 58, -12, 75, 4, 80]
  Compare 75 and 4
  Swap 75 and 4
  List after swap: [21, 5, -46, 24, -60, 58, -12, 4, 75, 80]

Pass 3:
  Compare 21 and 5
  Swap 21 and 5
  List after swap: [5, 21, -46, 24, -60, 58, -12, 4, 75, 80]
  Compare 21 and -46
  Swap 21 and -46
  List after swap: [5, -46, 21, 24, -60, 58, -12, 4, 75, 80]
  Compare 21 and 24
  No swap needed
  Compare 24 and -60
  Swap 24 and -60
  List after swap: [5, -46, 21, -60, 24, 58, -12, 4, 75, 80]
  Compare 24 and 58
  No swap needed
  Compare 58 and -12
  Swap 58 and -12
  List after swap: [5, -46, 21, -60, 24, -12, 58, 4, 75, 80]
  Compare 58 and 4
  Swap 58 and 4
  List after swap: [5, -46, 21, -60, 24, -12, 4, 58, 75, 80]

Pass 4:
  Compare 5 and -46
  Swap 5 and -46
  List after swap: [-46, 5, 21, -60, 24, -12, 4, 58, 75, 80]
  Compare 5 and 21
  No swap needed
  Compare 21 and -60
  Swap 21 and -60
  List after swap: [-46, 5, -60, 21, 24, -12, 4, 58, 75, 80]
  Compare 21 and 24
  No swap needed
  Compare 24 and -12
  Swap 24 and -12
  List after swap: [-46, 5, -60, 21, -12, 24, 4, 58, 75, 80]
  Compare 24 and 4
  Swap 24 and 4
  List after swap: [-46, 5, -60, 21, -12, 4, 24, 58, 75, 80]

Pass 5:
  Compare -46 and 5
  No swap needed
  Compare 5 and -60
  Swap 5 and -60
  List after swap: [-46, -60, 5, 21, -12, 4, 24, 58, 75, 80]
  Compare 5 and 21
  No swap needed
  Compare 21 and -12
  Swap 21 and -12
  List after swap: [-46, -60, 5, -12, 21, 4, 24, 58, 75, 80]
  Compare 21 and 4
  Swap 21 and 4
  List after swap: [-46, -60, 5, -12, 4, 21, 24, 58, 75, 80]

Pass 6:
  Compare -46 and -60
  Swap -46 and -60
  List after swap: [-60, -46, 5, -12, 4, 21, 24, 58, 75, 80]
  Compare -46 and 5
  No swap needed
  Compare 5 and -12
  Swap 5 and -12
  List after swap: [-60, -46, -12, 5, 4, 21, 24, 58, 75, 80]
  Compare 5 and 4
  Swap 5 and 4
  List after swap: [-60, -46, -12, 4, 5, 21, 24, 58, 75, 80]

Pass 7:
  Compare -60 and -46
  No swap needed
  Compare -46 and -12
  No swap needed
  Compare -12 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -46, -12, 4, 5, 21, 24, 58, 75, 80]
</think>

<response>-60, -46, -12, 4, 5, 21, 24, 58, 75, 80</response>


input: Execute bubble sort to sort 23, -27, -5 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [23, -27, -5]

Pass 1:
  Compare 23 and -27
  Swap 23 and -27
  List after swap: [-27, 23, -5]
  Compare 23 and -5
  Swap 23 and -5
  List after swap: [-27, -5, 23]

Pass 2:
  Compare -27 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -5, 23]
</think>

<response>-27, -5, 23</response>


input: Sort these integers 28, 86, -38, 58 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [28, 86, -38, 58]

Pass 1:
  Compare 28 and 86
  No swap needed
  Compare 86 and -38
  Swap 86 and -38
  List after swap: [28, -38, 86, 58]
  Compare 86 and 58
  Swap 86 and 58
  List after swap: [28, -38, 58, 86]

Pass 2:
  Compare 28 and -38
  Swap 28 and -38
  List after swap: [-38, 28, 58, 86]
  Compare 28 and 58
  No swap needed

Pass 3:
  Compare -38 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, 28, 58, 86]
</think>

<response>-38, 28, 58, 86</response>


input: Use the bubble sort technique to reorder 76, -44, 46, -4, -97, 39, -34 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [76, -44, 46, -4, -97, 39, -34]

Pass 1:
  Compare 76 and -44
  Swap 76 and -44
  List after swap: [-44, 76, 46, -4, -97, 39, -34]
  Compare 76 and 46
  Swap 76 and 46
  List after swap: [-44, 46, 76, -4, -97, 39, -34]
  Compare 76 and -4
  Swap 76 and -4
  List after swap: [-44, 46, -4, 76, -97, 39, -34]
  Compare 76 and -97
  Swap 76 and -97
  List after swap: [-44, 46, -4, -97, 76, 39, -34]
  Compare 76 and 39
  Swap 76 and 39
  List after swap: [-44, 46, -4, -97, 39, 76, -34]
  Compare 76 and -34
  Swap 76 and -34
  List after swap: [-44, 46, -4, -97, 39, -34, 76]

Pass 2:
  Compare -44 and 46
  No swap needed
  Compare 46 and -4
  Swap 46 and -4
  List after swap: [-44, -4, 46, -97, 39, -34, 76]
  Compare 46 and -97
  Swap 46 and -97
  List after swap: [-44, -4, -97, 46, 39, -34, 76]
  Compare 46 and 39
  Swap 46 and 39
  List after swap: [-44, -4, -97, 39, 46, -34, 76]
  Compare 46 and -34
  Swap 46 and -34
  List after swap: [-44, -4, -97, 39, -34, 46, 76]

Pass 3:
  Compare -44 and -4
  No swap needed
  Compare -4 and -97
  Swap -4 and -97
  List after swap: [-44, -97, -4, 39, -34, 46, 76]
  Compare -4 and 39
  No swap needed
  Compare 39 and -34
  Swap 39 and -34
  List after swap: [-44, -97, -4, -34, 39, 46, 76]

Pass 4:
  Compare -44 and -97
  Swap -44 and -97
  List after swap: [-97, -44, -4, -34, 39, 46, 76]
  Compare -44 and -4
  No swap needed
  Compare -4 and -34
  Swap -4 and -34
  List after swap: [-97, -44, -34, -4, 39, 46, 76]

Pass 5:
  Compare -97 and -44
  No swap needed
  Compare -44 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -44, -34, -4, 39, 46, 76]
</think>

<response>-97, -44, -34, -4, 39, 46, 76</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 89, -17, 39, 93, -83, 72.

output:
<think>
Initial list: [89, -17, 39, 93, -83, 72]

Pass 1:
  Compare 89 and -17
  Swap 89 and -17
  List after swap: [-17, 89, 39, 93, -83, 72]
  Compare 89 and 39
  Swap 89 and 39
  List after swap: [-17, 39, 89, 93, -83, 72]
  Compare 89 and 93
  No swap needed
  Compare 93 and -83
  Swap 93 and -83
  List after swap: [-17, 39, 89, -83, 93, 72]
  Compare 93 and 72
  Swap 93 and 72
  List after swap: [-17, 39, 89, -83, 72, 93]

Pass 2:
  Compare -17 and 39
  No swap needed
  Compare 39 and 89
  No swap needed
  Compare 89 and -83
  Swap 89 and -83
  List after swap: [-17, 39, -83, 89, 72, 93]
  Compare 89 and 72
  Swap 89 and 72
  List after swap: [-17, 39, -83, 72, 89, 93]

Pass 3:
  Compare -17 and 39
  No swap needed
  Compare 39 and -83
  Swap 39 and -83
  List after swap: [-17, -83, 39, 72, 89, 93]
  Compare 39 and 72
  No swap needed

Pass 4:
  Compare -17 and -83
  Swap -17 and -83
  List after swap: [-83, -17, 39, 72, 89, 93]
  Compare -17 and 39
  No swap needed

Pass 5:
  Compare -83 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -17, 39, 72, 89, 93]
</think>

<response>-83, -17, 39, 72, 89, 93</response>


input: Carry out the bubble sort algorithm on 36, 13, 69, -75, -78 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [36, 13, 69, -75, -78]

Pass 1:
  Compare 36 and 13
  Swap 36 and 13
  List after swap: [13, 36, 69, -75, -78]
  Compare 36 and 69
  No swap needed
  Compare 69 and -75
  Swap 69 and -75
  List after swap: [13, 36, -75, 69, -78]
  Compare 69 and -78
  Swap 69 and -78
  List after swap: [13, 36, -75, -78, 69]

Pass 2:
  Compare 13 and 36
  No swap needed
  Compare 36 and -75
  Swap 36 and -75
  List after swap: [13, -75, 36, -78, 69]
  Compare 36 and -78
  Swap 36 and -78
  List after swap: [13, -75, -78, 36, 69]

Pass 3:
  Compare 13 and -75
  Swap 13 and -75
  List after swap: [-75, 13, -78, 36, 69]
  Compare 13 and -78
  Swap 13 and -78
  List after swap: [-75, -78, 13, 36, 69]

Pass 4:
  Compare -75 and -78
  Swap -75 and -78
  List after swap: [-78, -75, 13, 36, 69]

Pass 5:
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -75, 13, 36, 69]
</think>

<response>-78, -75, 13, 36, 69</response>


input: Carry out the bubble sort algorithm on -81, 55, -1, -14, 6, -8, 89, -48 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-81, 55, -1, -14, 6, -8, 89, -48]

Pass 1:
  Compare -81 and 55
  No swap needed
  Compare 55 and -1
  Swap 55 and -1
  List after swap: [-81, -1, 55, -14, 6, -8, 89, -48]
  Compare 55 and -14
  Swap 55 and -14
  List after swap: [-81, -1, -14, 55, 6, -8, 89, -48]
  Compare 55 and 6
  Swap 55 and 6
  List after swap: [-81, -1, -14, 6, 55, -8, 89, -48]
  Compare 55 and -8
  Swap 55 and -8
  List after swap: [-81, -1, -14, 6, -8, 55, 89, -48]
  Compare 55 and 89
  No swap needed
  Compare 89 and -48
  Swap 89 and -48
  List after swap: [-81, -1, -14, 6, -8, 55, -48, 89]

Pass 2:
  Compare -81 and -1
  No swap needed
  Compare -1 and -14
  Swap -1 and -14
  List after swap: [-81, -14, -1, 6, -8, 55, -48, 89]
  Compare -1 and 6
  No swap needed
  Compare 6 and -8
  Swap 6 and -8
  List after swap: [-81, -14, -1, -8, 6, 55, -48, 89]
  Compare 6 and 55
  No swap needed
  Compare 55 and -48
  Swap 55 and -48
  List after swap: [-81, -14, -1, -8, 6, -48, 55, 89]

Pass 3:
  Compare -81 and -14
  No swap needed
  Compare -14 and -1
  No swap needed
  Compare -1 and -8
  Swap -1 and -8
  List after swap: [-81, -14, -8, -1, 6, -48, 55, 89]
  Compare -1 and 6
  No swap needed
  Compare 6 and -48
  Swap 6 and -48
  List after swap: [-81, -14, -8, -1, -48, 6, 55, 89]

Pass 4:
  Compare -81 and -14
  No swap needed
  Compare -14 and -8
  No swap needed
  Compare -8 and -1
  No swap needed
  Compare -1 and -48
  Swap -1 and -48
  List after swap: [-81, -14, -8, -48, -1, 6, 55, 89]

Pass 5:
  Compare -81 and -14
  No swap needed
  Compare -14 and -8
  No swap needed
  Compare -8 and -48
  Swap -8 and -48
  List after swap: [-81, -14, -48, -8, -1, 6, 55, 89]

Pass 6:
  Compare -81 and -14
  No swap needed
  Compare -14 and -48
  Swap -14 and -48
  List after swap: [-81, -48, -14, -8, -1, 6, 55, 89]

Pass 7:
  Compare -81 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -48, -14, -8, -1, 6, 55, 89]
</think>

<response>-81, -48, -14, -8, -1, 6, 55, 89</response>


input: Arrange the numbers 83, -88 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [83, -88]

Pass 1:
  Compare 83 and -88
  Swap 83 and -88
  List after swap: [-88, 83]

Pass 2:
  No swaps in this pass, list is sorted.

Final sorted list: [-88, 83]
</think>

<response>-88, 83</response>


input: Using the bubble sort method, sort 83, 53, -92, 45 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [83, 53, -92, 45]

Pass 1:
  Compare 83 and 53
  Swap 83 and 53
  List after swap: [53, 83, -92, 45]
  Compare 83 and -92
  Swap 83 and -92
  List after swap: [53, -92, 83, 45]
  Compare 83 and 45
  Swap 83 and 45
  List after swap: [53, -92, 45, 83]

Pass 2:
  Compare 53 and -92
  Swap 53 and -92
  List after swap: [-92, 53, 45, 83]
  Compare 53 and 45
  Swap 53 and 45
  List after swap: [-92, 45, 53, 83]

Pass 3:
  Compare -92 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 45, 53, 83]
</think>

<response>-92, 45, 53, 83</response>


input: Use the bubble sort technique to reorder -79, 88, 64, -13, 36, -38 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-79, 88, 64, -13, 36, -38]

Pass 1:
  Compare -79 and 88
  No swap needed
  Compare 88 and 64
  Swap 88 and 64
  List after swap: [-79, 64, 88, -13, 36, -38]
  Compare 88 and -13
  Swap 88 and -13
  List after swap: [-79, 64, -13, 88, 36, -38]
  Compare 88 and 36
  Swap 88 and 36
  List after swap: [-79, 64, -13, 36, 88, -38]
  Compare 88 and -38
  Swap 88 and -38
  List after swap: [-79, 64, -13, 36, -38, 88]

Pass 2:
  Compare -79 and 64
  No swap needed
  Compare 64 and -13
  Swap 64 and -13
  List after swap: [-79, -13, 64, 36, -38, 88]
  Compare 64 and 36
  Swap 64 and 36
  List after swap: [-79, -13, 36, 64, -38, 88]
  Compare 64 and -38
  Swap 64 and -38
  List after swap: [-79, -13, 36, -38, 64, 88]

Pass 3:
  Compare -79 and -13
  No swap needed
  Compare -13 and 36
  No swap needed
  Compare 36 and -38
  Swap 36 and -38
  List after swap: [-79, -13, -38, 36, 64, 88]

Pass 4:
  Compare -79 and -13
  No swap needed
  Compare -13 and -38
  Swap -13 and -38
  List after swap: [-79, -38, -13, 36, 64, 88]

Pass 5:
  Compare -79 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -38, -13, 36, 64, 88]
</think>

<response>-79, -38, -13, 36, 64, 88</response>


input: Perform a bubble sort on the integers -93, -34, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-93, -34]

Pass 1:
  Compare -93 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -34]
</think>

<response>-93, -34</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -36, -50, 16, 42, 2, 77, 75, -28, 40, -77.

output:
<think>
Initial list: [-36, -50, 16, 42, 2, 77, 75, -28, 40, -77]

Pass 1:
  Compare -36 and -50
  Swap -36 and -50
  List after swap: [-50, -36, 16, 42, 2, 77, 75, -28, 40, -77]
  Compare -36 and 16
  No swap needed
  Compare 16 and 42
  No swap needed
  Compare 42 and 2
  Swap 42 and 2
  List after swap: [-50, -36, 16, 2, 42, 77, 75, -28, 40, -77]
  Compare 42 and 77
  No swap needed
  Compare 77 and 75
  Swap 77 and 75
  List after swap: [-50, -36, 16, 2, 42, 75, 77, -28, 40, -77]
  Compare 77 and -28
  Swap 77 and -28
  List after swap: [-50, -36, 16, 2, 42, 75, -28, 77, 40, -77]
  Compare 77 and 40
  Swap 77 and 40
  List after swap: [-50, -36, 16, 2, 42, 75, -28, 40, 77, -77]
  Compare 77 and -77
  Swap 77 and -77
  List after swap: [-50, -36, 16, 2, 42, 75, -28, 40, -77, 77]

Pass 2:
  Compare -50 and -36
  No swap needed
  Compare -36 and 16
  No swap needed
  Compare 16 and 2
  Swap 16 and 2
  List after swap: [-50, -36, 2, 16, 42, 75, -28, 40, -77, 77]
  Compare 16 and 42
  No swap needed
  Compare 42 and 75
  No swap needed
  Compare 75 and -28
  Swap 75 and -28
  List after swap: [-50, -36, 2, 16, 42, -28, 75, 40, -77, 77]
  Compare 75 and 40
  Swap 75 and 40
  List after swap: [-50, -36, 2, 16, 42, -28, 40, 75, -77, 77]
  Compare 75 and -77
  Swap 75 and -77
  List after swap: [-50, -36, 2, 16, 42, -28, 40, -77, 75, 77]

Pass 3:
  Compare -50 and -36
  No swap needed
  Compare -36 and 2
  No swap needed
  Compare 2 and 16
  No swap needed
  Compare 16 and 42
  No swap needed
  Compare 42 and -28
  Swap 42 and -28
  List after swap: [-50, -36, 2, 16, -28, 42, 40, -77, 75, 77]
  Compare 42 and 40
  Swap 42 and 40
  List after swap: [-50, -36, 2, 16, -28, 40, 42, -77, 75, 77]
  Compare 42 and -77
  Swap 42 and -77
  List after swap: [-50, -36, 2, 16, -28, 40, -77, 42, 75, 77]

Pass 4:
  Compare -50 and -36
  No swap needed
  Compare -36 and 2
  No swap needed
  Compare 2 and 16
  No swap needed
  Compare 16 and -28
  Swap 16 and -28
  List after swap: [-50, -36, 2, -28, 16, 40, -77, 42, 75, 77]
  Compare 16 and 40
  No swap needed
  Compare 40 and -77
  Swap 40 and -77
  List after swap: [-50, -36, 2, -28, 16, -77, 40, 42, 75, 77]

Pass 5:
  Compare -50 and -36
  No swap needed
  Compare -36 and 2
  No swap needed
  Compare 2 and -28
  Swap 2 and -28
  List after swap: [-50, -36, -28, 2, 16, -77, 40, 42, 75, 77]
  Compare 2 and 16
  No swap needed
  Compare 16 and -77
  Swap 16 and -77
  List after swap: [-50, -36, -28, 2, -77, 16, 40, 42, 75, 77]

Pass 6:
  Compare -50 and -36
  No swap needed
  Compare -36 and -28
  No swap needed
  Compare -28 and 2
  No swap needed
  Compare 2 and -77
  Swap 2 and -77
  List after swap: [-50, -36, -28, -77, 2, 16, 40, 42, 75, 77]

Pass 7:
  Compare -50 and -36
  No swap needed
  Compare -36 and -28
  No swap needed
  Compare -28 and -77
  Swap -28 and -77
  List after swap: [-50, -36, -77, -28, 2, 16, 40, 42, 75, 77]

Pass 8:
  Compare -50 and -36
  No swap needed
  Compare -36 and -77
  Swap -36 and -77
  List after swap: [-50, -77, -36, -28, 2, 16, 40, 42, 75, 77]

Pass 9:
  Compare -50 and -77
  Swap -50 and -77
  List after swap: [-77, -50, -36, -28, 2, 16, 40, 42, 75, 77]

Pass 10:
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -50, -36, -28, 2, 16, 40, 42, 75, 77]
</think>

<response>-77, -50, -36, -28, 2, 16, 40, 42, 75, 77</response>


input: Sort these integers 18, 28, 43, 33, -92 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [18, 28, 43, 33, -92]

Pass 1:
  Compare 18 and 28
  No swap needed
  Compare 28 and 43
  No swap needed
  Compare 43 and 33
  Swap 43 and 33
  List after swap: [18, 28, 33, 43, -92]
  Compare 43 and -92
  Swap 43 and -92
  List after swap: [18, 28, 33, -92, 43]

Pass 2:
  Compare 18 and 28
  No swap needed
  Compare 28 and 33
  No swap needed
  Compare 33 and -92
  Swap 33 and -92
  List after swap: [18, 28, -92, 33, 43]

Pass 3:
  Compare 18 and 28
  No swap needed
  Compare 28 and -92
  Swap 28 and -92
  List after swap: [18, -92, 28, 33, 43]

Pass 4:
  Compare 18 and -92
  Swap 18 and -92
  List after swap: [-92, 18, 28, 33, 43]

Pass 5:
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 18, 28, 33, 43]
</think>

<response>-92, 18, 28, 33, 43</response>


input: Sort these integers 5, -46, 76, -78, -17, -79 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [5, -46, 76, -78, -17, -79]

Pass 1:
  Compare 5 and -46
  Swap 5 and -46
  List after swap: [-46, 5, 76, -78, -17, -79]
  Compare 5 and 76
  No swap needed
  Compare 76 and -78
  Swap 76 and -78
  List after swap: [-46, 5, -78, 76, -17, -79]
  Compare 76 and -17
  Swap 76 and -17
  List after swap: [-46, 5, -78, -17, 76, -79]
  Compare 76 and -79
  Swap 76 and -79
  List after swap: [-46, 5, -78, -17, -79, 76]

Pass 2:
  Compare -46 and 5
  No swap needed
  Compare 5 and -78
  Swap 5 and -78
  List after swap: [-46, -78, 5, -17, -79, 76]
  Compare 5 and -17
  Swap 5 and -17
  List after swap: [-46, -78, -17, 5, -79, 76]
  Compare 5 and -79
  Swap 5 and -79
  List after swap: [-46, -78, -17, -79, 5, 76]

Pass 3:
  Compare -46 and -78
  Swap -46 and -78
  List after swap: [-78, -46, -17, -79, 5, 76]
  Compare -46 and -17
  No swap needed
  Compare -17 and -79
  Swap -17 and -79
  List after swap: [-78, -46, -79, -17, 5, 76]

Pass 4:
  Compare -78 and -46
  No swap needed
  Compare -46 and -79
  Swap -46 and -79
  List after swap: [-78, -79, -46, -17, 5, 76]

Pass 5:
  Compare -78 and -79
  Swap -78 and -79
  List after swap: [-79, -78, -46, -17, 5, 76]

Pass 6:
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -78, -46, -17, 5, 76]
</think>

<response>-79, -78, -46, -17, 5, 76</response>


input: Implement bubble sort on -24, 99, -41, 51, -31 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-24, 99, -41, 51, -31]

Pass 1:
  Compare -24 and 99
  No swap needed
  Compare 99 and -41
  Swap 99 and -41
  List after swap: [-24, -41, 99, 51, -31]
  Compare 99 and 51
  Swap 99 and 51
  List after swap: [-24, -41, 51, 99, -31]
  Compare 99 and -31
  Swap 99 and -31
  List after swap: [-24, -41, 51, -31, 99]

Pass 2:
  Compare -24 and -41
  Swap -24 and -41
  List after swap: [-41, -24, 51, -31, 99]
  Compare -24 and 51
  No swap needed
  Compare 51 and -31
  Swap 51 and -31
  List after swap: [-41, -24, -31, 51, 99]

Pass 3:
  Compare -41 and -24
  No swap needed
  Compare -24 and -31
  Swap -24 and -31
  List after swap: [-41, -31, -24, 51, 99]

Pass 4:
  Compare -41 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -31, -24, 51, 99]
</think>

<response>-41, -31, -24, 51, 99</response>


input: Use the bubble sort technique to reorder 93, -33, 48, -6, -50, 86, 17, -47, 89 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [93, -33, 48, -6, -50, 86, 17, -47, 89]

Pass 1:
  Compare 93 and -33
  Swap 93 and -33
  List after swap: [-33, 93, 48, -6, -50, 86, 17, -47, 89]
  Compare 93 and 48
  Swap 93 and 48
  List after swap: [-33, 48, 93, -6, -50, 86, 17, -47, 89]
  Compare 93 and -6
  Swap 93 and -6
  List after swap: [-33, 48, -6, 93, -50, 86, 17, -47, 89]
  Compare 93 and -50
  Swap 93 and -50
  List after swap: [-33, 48, -6, -50, 93, 86, 17, -47, 89]
  Compare 93 and 86
  Swap 93 and 86
  List after swap: [-33, 48, -6, -50, 86, 93, 17, -47, 89]
  Compare 93 and 17
  Swap 93 and 17
  List after swap: [-33, 48, -6, -50, 86, 17, 93, -47, 89]
  Compare 93 and -47
  Swap 93 and -47
  List after swap: [-33, 48, -6, -50, 86, 17, -47, 93, 89]
  Compare 93 and 89
  Swap 93 and 89
  List after swap: [-33, 48, -6, -50, 86, 17, -47, 89, 93]

Pass 2:
  Compare -33 and 48
  No swap needed
  Compare 48 and -6
  Swap 48 and -6
  List after swap: [-33, -6, 48, -50, 86, 17, -47, 89, 93]
  Compare 48 and -50
  Swap 48 and -50
  List after swap: [-33, -6, -50, 48, 86, 17, -47, 89, 93]
  Compare 48 and 86
  No swap needed
  Compare 86 and 17
  Swap 86 and 17
  List after swap: [-33, -6, -50, 48, 17, 86, -47, 89, 93]
  Compare 86 and -47
  Swap 86 and -47
  List after swap: [-33, -6, -50, 48, 17, -47, 86, 89, 93]
  Compare 86 and 89
  No swap needed

Pass 3:
  Compare -33 and -6
  No swap needed
  Compare -6 and -50
  Swap -6 and -50
  List after swap: [-33, -50, -6, 48, 17, -47, 86, 89, 93]
  Compare -6 and 48
  No swap needed
  Compare 48 and 17
  Swap 48 and 17
  List after swap: [-33, -50, -6, 17, 48, -47, 86, 89, 93]
  Compare 48 and -47
  Swap 48 and -47
  List after swap: [-33, -50, -6, 17, -47, 48, 86, 89, 93]
  Compare 48 and 86
  No swap needed

Pass 4:
  Compare -33 and -50
  Swap -33 and -50
  List after swap: [-50, -33, -6, 17, -47, 48, 86, 89, 93]
  Compare -33 and -6
  No swap needed
  Compare -6 and 17
  No swap needed
  Compare 17 and -47
  Swap 17 and -47
  List after swap: [-50, -33, -6, -47, 17, 48, 86, 89, 93]
  Compare 17 and 48
  No swap needed

Pass 5:
  Compare -50 and -33
  No swap needed
  Compare -33 and -6
  No swap needed
  Compare -6 and -47
  Swap -6 and -47
  List after swap: [-50, -33, -47, -6, 17, 48, 86, 89, 93]
  Compare -6 and 17
  No swap needed

Pass 6:
  Compare -50 and -33
  No swap needed
  Compare -33 and -47
  Swap -33 and -47
  List after swap: [-50, -47, -33, -6, 17, 48, 86, 89, 93]
  Compare -33 and -6
  No swap needed

Pass 7:
  Compare -50 and -47
  No swap needed
  Compare -47 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -47, -33, -6, 17, 48, 86, 89, 93]
</think>

<response>-50, -47, -33, -6, 17, 48, 86, 89, 93</response>


input: Using the bubble sort method, sort 65, 64, -91, -22, 57, 23, -86 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [65, 64, -91, -22, 57, 23, -86]

Pass 1:
  Compare 65 and 64
  Swap 65 and 64
  List after swap: [64, 65, -91, -22, 57, 23, -86]
  Compare 65 and -91
  Swap 65 and -91
  List after swap: [64, -91, 65, -22, 57, 23, -86]
  Compare 65 and -22
  Swap 65 and -22
  List after swap: [64, -91, -22, 65, 57, 23, -86]
  Compare 65 and 57
  Swap 65 and 57
  List after swap: [64, -91, -22, 57, 65, 23, -86]
  Compare 65 and 23
  Swap 65 and 23
  List after swap: [64, -91, -22, 57, 23, 65, -86]
  Compare 65 and -86
  Swap 65 and -86
  List after swap: [64, -91, -22, 57, 23, -86, 65]

Pass 2:
  Compare 64 and -91
  Swap 64 and -91
  List after swap: [-91, 64, -22, 57, 23, -86, 65]
  Compare 64 and -22
  Swap 64 and -22
  List after swap: [-91, -22, 64, 57, 23, -86, 65]
  Compare 64 and 57
  Swap 64 and 57
  List after swap: [-91, -22, 57, 64, 23, -86, 65]
  Compare 64 and 23
  Swap 64 and 23
  List after swap: [-91, -22, 57, 23, 64, -86, 65]
  Compare 64 and -86
  Swap 64 and -86
  List after swap: [-91, -22, 57, 23, -86, 64, 65]

Pass 3:
  Compare -91 and -22
  No swap needed
  Compare -22 and 57
  No swap needed
  Compare 57 and 23
  Swap 57 and 23
  List after swap: [-91, -22, 23, 57, -86, 64, 65]
  Compare 57 and -86
  Swap 57 and -86
  List after swap: [-91, -22, 23, -86, 57, 64, 65]

Pass 4:
  Compare -91 and -22
  No swap needed
  Compare -22 and 23
  No swap needed
  Compare 23 and -86
  Swap 23 and -86
  List after swap: [-91, -22, -86, 23, 57, 64, 65]

Pass 5:
  Compare -91 and -22
  No swap needed
  Compare -22 and -86
  Swap -22 and -86
  List after swap: [-91, -86, -22, 23, 57, 64, 65]

Pass 6:
  Compare -91 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -86, -22, 23, 57, 64, 65]
</think>

<response>-91, -86, -22, 23, 57, 64, 65</response>


input: Perform a bubble sort on the integers 12, 95, 71, 39, -61, 69, -68, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [12, 95, 71, 39, -61, 69, -68]

Pass 1:
  Compare 12 and 95
  No swap needed
  Compare 95 and 71
  Swap 95 and 71
  List after swap: [12, 71, 95, 39, -61, 69, -68]
  Compare 95 and 39
  Swap 95 and 39
  List after swap: [12, 71, 39, 95, -61, 69, -68]
  Compare 95 and -61
  Swap 95 and -61
  List after swap: [12, 71, 39, -61, 95, 69, -68]
  Compare 95 and 69
  Swap 95 and 69
  List after swap: [12, 71, 39, -61, 69, 95, -68]
  Compare 95 and -68
  Swap 95 and -68
  List after swap: [12, 71, 39, -61, 69, -68, 95]

Pass 2:
  Compare 12 and 71
  No swap needed
  Compare 71 and 39
  Swap 71 and 39
  List after swap: [12, 39, 71, -61, 69, -68, 95]
  Compare 71 and -61
  Swap 71 and -61
  List after swap: [12, 39, -61, 71, 69, -68, 95]
  Compare 71 and 69
  Swap 71 and 69
  List after swap: [12, 39, -61, 69, 71, -68, 95]
  Compare 71 and -68
  Swap 71 and -68
  List after swap: [12, 39, -61, 69, -68, 71, 95]

Pass 3:
  Compare 12 and 39
  No swap needed
  Compare 39 and -61
  Swap 39 and -61
  List after swap: [12, -61, 39, 69, -68, 71, 95]
  Compare 39 and 69
  No swap needed
  Compare 69 and -68
  Swap 69 and -68
  List after swap: [12, -61, 39, -68, 69, 71, 95]

Pass 4:
  Compare 12 and -61
  Swap 12 and -61
  List after swap: [-61, 12, 39, -68, 69, 71, 95]
  Compare 12 and 39
  No swap needed
  Compare 39 and -68
  Swap 39 and -68
  List after swap: [-61, 12, -68, 39, 69, 71, 95]

Pass 5:
  Compare -61 and 12
  No swap needed
  Compare 12 and -68
  Swap 12 and -68
  List after swap: [-61, -68, 12, 39, 69, 71, 95]

Pass 6:
  Compare -61 and -68
  Swap -61 and -68
  List after swap: [-68, -61, 12, 39, 69, 71, 95]

Pass 7:
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -61, 12, 39, 69, 71, 95]
</think>

<response>-68, -61, 12, 39, 69, 71, 95</response>


input: Use the bubble sort technique to reorder -80, 76, 56, -91, -13, 45, -46 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-80, 76, 56, -91, -13, 45, -46]

Pass 1:
  Compare -80 and 76
  No swap needed
  Compare 76 and 56
  Swap 76 and 56
  List after swap: [-80, 56, 76, -91, -13, 45, -46]
  Compare 76 and -91
  Swap 76 and -91
  List after swap: [-80, 56, -91, 76, -13, 45, -46]
  Compare 76 and -13
  Swap 76 and -13
  List after swap: [-80, 56, -91, -13, 76, 45, -46]
  Compare 76 and 45
  Swap 76 and 45
  List after swap: [-80, 56, -91, -13, 45, 76, -46]
  Compare 76 and -46
  Swap 76 and -46
  List after swap: [-80, 56, -91, -13, 45, -46, 76]

Pass 2:
  Compare -80 and 56
  No swap needed
  Compare 56 and -91
  Swap 56 and -91
  List after swap: [-80, -91, 56, -13, 45, -46, 76]
  Compare 56 and -13
  Swap 56 and -13
  List after swap: [-80, -91, -13, 56, 45, -46, 76]
  Compare 56 and 45
  Swap 56 and 45
  List after swap: [-80, -91, -13, 45, 56, -46, 76]
  Compare 56 and -46
  Swap 56 and -46
  List after swap: [-80, -91, -13, 45, -46, 56, 76]

Pass 3:
  Compare -80 and -91
  Swap -80 and -91
  List after swap: [-91, -80, -13, 45, -46, 56, 76]
  Compare -80 and -13
  No swap needed
  Compare -13 and 45
  No swap needed
  Compare 45 and -46
  Swap 45 and -46
  List after swap: [-91, -80, -13, -46, 45, 56, 76]

Pass 4:
  Compare -91 and -80
  No swap needed
  Compare -80 and -13
  No swap needed
  Compare -13 and -46
  Swap -13 and -46
  List after swap: [-91, -80, -46, -13, 45, 56, 76]

Pass 5:
  Compare -91 and -80
  No swap needed
  Compare -80 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -80, -46, -13, 45, 56, 76]
</think>

<response>-91, -80, -46, -13, 45, 56, 76</response>


input: Execute bubble sort to sort -38, -96, -47, -35, -9 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-38, -96, -47, -35, -9]

Pass 1:
  Compare -38 and -96
  Swap -38 and -96
  List after swap: [-96, -38, -47, -35, -9]
  Compare -38 and -47
  Swap -38 and -47
  List after swap: [-96, -47, -38, -35, -9]
  Compare -38 and -35
  No swap needed
  Compare -35 and -9
  No swap needed

Pass 2:
  Compare -96 and -47
  No swap needed
  Compare -47 and -38
  No swap needed
  Compare -38 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -47, -38, -35, -9]
</think>

<response>-96, -47, -38, -35, -9</response>


input: Implement bubble sort on 6, -3, -38, 19, -61, 63, -32, -34, -49 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [6, -3, -38, 19, -61, 63, -32, -34, -49]

Pass 1:
  Compare 6 and -3
  Swap 6 and -3
  List after swap: [-3, 6, -38, 19, -61, 63, -32, -34, -49]
  Compare 6 and -38
  Swap 6 and -38
  List after swap: [-3, -38, 6, 19, -61, 63, -32, -34, -49]
  Compare 6 and 19
  No swap needed
  Compare 19 and -61
  Swap 19 and -61
  List after swap: [-3, -38, 6, -61, 19, 63, -32, -34, -49]
  Compare 19 and 63
  No swap needed
  Compare 63 and -32
  Swap 63 and -32
  List after swap: [-3, -38, 6, -61, 19, -32, 63, -34, -49]
  Compare 63 and -34
  Swap 63 and -34
  List after swap: [-3, -38, 6, -61, 19, -32, -34, 63, -49]
  Compare 63 and -49
  Swap 63 and -49
  List after swap: [-3, -38, 6, -61, 19, -32, -34, -49, 63]

Pass 2:
  Compare -3 and -38
  Swap -3 and -38
  List after swap: [-38, -3, 6, -61, 19, -32, -34, -49, 63]
  Compare -3 and 6
  No swap needed
  Compare 6 and -61
  Swap 6 and -61
  List after swap: [-38, -3, -61, 6, 19, -32, -34, -49, 63]
  Compare 6 and 19
  No swap needed
  Compare 19 and -32
  Swap 19 and -32
  List after swap: [-38, -3, -61, 6, -32, 19, -34, -49, 63]
  Compare 19 and -34
  Swap 19 and -34
  List after swap: [-38, -3, -61, 6, -32, -34, 19, -49, 63]
  Compare 19 and -49
  Swap 19 and -49
  List after swap: [-38, -3, -61, 6, -32, -34, -49, 19, 63]

Pass 3:
  Compare -38 and -3
  No swap needed
  Compare -3 and -61
  Swap -3 and -61
  List after swap: [-38, -61, -3, 6, -32, -34, -49, 19, 63]
  Compare -3 and 6
  No swap needed
  Compare 6 and -32
  Swap 6 and -32
  List after swap: [-38, -61, -3, -32, 6, -34, -49, 19, 63]
  Compare 6 and -34
  Swap 6 and -34
  List after swap: [-38, -61, -3, -32, -34, 6, -49, 19, 63]
  Compare 6 and -49
  Swap 6 and -49
  List after swap: [-38, -61, -3, -32, -34, -49, 6, 19, 63]

Pass 4:
  Compare -38 and -61
  Swap -38 and -61
  List after swap: [-61, -38, -3, -32, -34, -49, 6, 19, 63]
  Compare -38 and -3
  No swap needed
  Compare -3 and -32
  Swap -3 and -32
  List after swap: [-61, -38, -32, -3, -34, -49, 6, 19, 63]
  Compare -3 and -34
  Swap -3 and -34
  List after swap: [-61, -38, -32, -34, -3, -49, 6, 19, 63]
  Compare -3 and -49
  Swap -3 and -49
  List after swap: [-61, -38, -32, -34, -49, -3, 6, 19, 63]

Pass 5:
  Compare -61 and -38
  No swap needed
  Compare -38 and -32
  No swap needed
  Compare -32 and -34
  Swap -32 and -34
  List after swap: [-61, -38, -34, -32, -49, -3, 6, 19, 63]
  Compare -32 and -49
  Swap -32 and -49
  List after swap: [-61, -38, -34, -49, -32, -3, 6, 19, 63]

Pass 6:
  Compare -61 and -38
  No swap needed
  Compare -38 and -34
  No swap needed
  Compare -34 and -49
  Swap -34 and -49
  List after swap: [-61, -38, -49, -34, -32, -3, 6, 19, 63]

Pass 7:
  Compare -61 and -38
  No swap needed
  Compare -38 and -49
  Swap -38 and -49
  List after swap: [-61, -49, -38, -34, -32, -3, 6, 19, 63]

Pass 8:
  Compare -61 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -49, -38, -34, -32, -3, 6, 19, 63]
</think>

<response>-61, -49, -38, -34, -32, -3, 6, 19, 63</response>


input: Sort these integers 87, -81, 15 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [87, -81, 15]

Pass 1:
  Compare 87 and -81
  Swap 87 and -81
  List after swap: [-81, 87, 15]
  Compare 87 and 15
  Swap 87 and 15
  List after swap: [-81, 15, 87]

Pass 2:
  Compare -81 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, 15, 87]
</think>

<response>-81, 15, 87</response>


input: Implement bubble sort on 51, -49, -92, -65, 62, -21, 31, 98, -14 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [51, -49, -92, -65, 62, -21, 31, 98, -14]

Pass 1:
  Compare 51 and -49
  Swap 51 and -49
  List after swap: [-49, 51, -92, -65, 62, -21, 31, 98, -14]
  Compare 51 and -92
  Swap 51 and -92
  List after swap: [-49, -92, 51, -65, 62, -21, 31, 98, -14]
  Compare 51 and -65
  Swap 51 and -65
  List after swap: [-49, -92, -65, 51, 62, -21, 31, 98, -14]
  Compare 51 and 62
  No swap needed
  Compare 62 and -21
  Swap 62 and -21
  List after swap: [-49, -92, -65, 51, -21, 62, 31, 98, -14]
  Compare 62 and 31
  Swap 62 and 31
  List after swap: [-49, -92, -65, 51, -21, 31, 62, 98, -14]
  Compare 62 and 98
  No swap needed
  Compare 98 and -14
  Swap 98 and -14
  List after swap: [-49, -92, -65, 51, -21, 31, 62, -14, 98]

Pass 2:
  Compare -49 and -92
  Swap -49 and -92
  List after swap: [-92, -49, -65, 51, -21, 31, 62, -14, 98]
  Compare -49 and -65
  Swap -49 and -65
  List after swap: [-92, -65, -49, 51, -21, 31, 62, -14, 98]
  Compare -49 and 51
  No swap needed
  Compare 51 and -21
  Swap 51 and -21
  List after swap: [-92, -65, -49, -21, 51, 31, 62, -14, 98]
  Compare 51 and 31
  Swap 51 and 31
  List after swap: [-92, -65, -49, -21, 31, 51, 62, -14, 98]
  Compare 51 and 62
  No swap needed
  Compare 62 and -14
  Swap 62 and -14
  List after swap: [-92, -65, -49, -21, 31, 51, -14, 62, 98]

Pass 3:
  Compare -92 and -65
  No swap needed
  Compare -65 and -49
  No swap needed
  Compare -49 and -21
  No swap needed
  Compare -21 and 31
  No swap needed
  Compare 31 and 51
  No swap needed
  Compare 51 and -14
  Swap 51 and -14
  List after swap: [-92, -65, -49, -21, 31, -14, 51, 62, 98]

Pass 4:
  Compare -92 and -65
  No swap needed
  Compare -65 and -49
  No swap needed
  Compare -49 and -21
  No swap needed
  Compare -21 and 31
  No swap needed
  Compare 31 and -14
  Swap 31 and -14
  List after swap: [-92, -65, -49, -21, -14, 31, 51, 62, 98]

Pass 5:
  Compare -92 and -65
  No swap needed
  Compare -65 and -49
  No swap needed
  Compare -49 and -21
  No swap needed
  Compare -21 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -65, -49, -21, -14, 31, 51, 62, 98]
</think>

<response>-92, -65, -49, -21, -14, 31, 51, 62, 98</response>


input: Use the bubble sort technique to reorder 1, 49, -52, -43, -69, 4, 96, 99 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [1, 49, -52, -43, -69, 4, 96, 99]

Pass 1:
  Compare 1 and 49
  No swap needed
  Compare 49 and -52
  Swap 49 and -52
  List after swap: [1, -52, 49, -43, -69, 4, 96, 99]
  Compare 49 and -43
  Swap 49 and -43
  List after swap: [1, -52, -43, 49, -69, 4, 96, 99]
  Compare 49 and -69
  Swap 49 and -69
  List after swap: [1, -52, -43, -69, 49, 4, 96, 99]
  Compare 49 and 4
  Swap 49 and 4
  List after swap: [1, -52, -43, -69, 4, 49, 96, 99]
  Compare 49 and 96
  No swap needed
  Compare 96 and 99
  No swap needed

Pass 2:
  Compare 1 and -52
  Swap 1 and -52
  List after swap: [-52, 1, -43, -69, 4, 49, 96, 99]
  Compare 1 and -43
  Swap 1 and -43
  List after swap: [-52, -43, 1, -69, 4, 49, 96, 99]
  Compare 1 and -69
  Swap 1 and -69
  List after swap: [-52, -43, -69, 1, 4, 49, 96, 99]
  Compare 1 and 4
  No swap needed
  Compare 4 and 49
  No swap needed
  Compare 49 and 96
  No swap needed

Pass 3:
  Compare -52 and -43
  No swap needed
  Compare -43 and -69
  Swap -43 and -69
  List after swap: [-52, -69, -43, 1, 4, 49, 96, 99]
  Compare -43 and 1
  No swap needed
  Compare 1 and 4
  No swap needed
  Compare 4 and 49
  No swap needed

Pass 4:
  Compare -52 and -69
  Swap -52 and -69
  List after swap: [-69, -52, -43, 1, 4, 49, 96, 99]
  Compare -52 and -43
  No swap needed
  Compare -43 and 1
  No swap needed
  Compare 1 and 4
  No swap needed

Pass 5:
  Compare -69 and -52
  No swap needed
  Compare -52 and -43
  No swap needed
  Compare -43 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -52, -43, 1, 4, 49, 96, 99]
</think>

<response>-69, -52, -43, 1, 4, 49, 96, 99</response>