input: Sort these integers 27, -86, -19, -81, -2, 49, 8, -60, -45 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [27, -86, -19, -81, -2, 49, 8, -60, -45]

Pass 1:
  Compare 27 and -86
  Swap 27 and -86
  List after swap: [-86, 27, -19, -81, -2, 49, 8, -60, -45]
  Compare 27 and -19
  Swap 27 and -19
  List after swap: [-86, -19, 27, -81, -2, 49, 8, -60, -45]
  Compare 27 and -81
  Swap 27 and -81
  List after swap: [-86, -19, -81, 27, -2, 49, 8, -60, -45]
  Compare 27 and -2
  Swap 27 and -2
  List after swap: [-86, -19, -81, -2, 27, 49, 8, -60, -45]
  Compare 27 and 49
  No swap needed
  Compare 49 and 8
  Swap 49 and 8
  List after swap: [-86, -19, -81, -2, 27, 8, 49, -60, -45]
  Compare 49 and -60
  Swap 49 and -60
  List after swap: [-86, -19, -81, -2, 27, 8, -60, 49, -45]
  Compare 49 and -45
  Swap 49 and -45
  List after swap: [-86, -19, -81, -2, 27, 8, -60, -45, 49]

Pass 2:
  Compare -86 and -19
  No swap needed
  Compare -19 and -81
  Swap -19 and -81
  List after swap: [-86, -81, -19, -2, 27, 8, -60, -45, 49]
  Compare -19 and -2
  No swap needed
  Compare -2 and 27
  No swap needed
  Compare 27 and 8
  Swap 27 and 8
  List after swap: [-86, -81, -19, -2, 8, 27, -60, -45, 49]
  Compare 27 and -60
  Swap 27 and -60
  List after swap: [-86, -81, -19, -2, 8, -60, 27, -45, 49]
  Compare 27 and -45
  Swap 27 and -45
  List after swap: [-86, -81, -19, -2, 8, -60, -45, 27, 49]

Pass 3:
  Compare -86 and -81
  No swap needed
  Compare -81 and -19
  No swap needed
  Compare -19 and -2
  No swap needed
  Compare -2 and 8
  No swap needed
  Compare 8 and -60
  Swap 8 and -60
  List after swap: [-86, -81, -19, -2, -60, 8, -45, 27, 49]
  Compare 8 and -45
  Swap 8 and -45
  List after swap: [-86, -81, -19, -2, -60, -45, 8, 27, 49]

Pass 4:
  Compare -86 and -81
  No swap needed
  Compare -81 and -19
  No swap needed
  Compare -19 and -2
  No swap needed
  Compare -2 and -60
  Swap -2 and -60
  List after swap: [-86, -81, -19, -60, -2, -45, 8, 27, 49]
  Compare -2 and -45
  Swap -2 and -45
  List after swap: [-86, -81, -19, -60, -45, -2, 8, 27, 49]

Pass 5:
  Compare -86 and -81
  No swap needed
  Compare -81 and -19
  No swap needed
  Compare -19 and -60
  Swap -19 and -60
  List after swap: [-86, -81, -60, -19, -45, -2, 8, 27, 49]
  Compare -19 and -45
  Swap -19 and -45
  List after swap: [-86, -81, -60, -45, -19, -2, 8, 27, 49]

Pass 6:
  Compare -86 and -81
  No swap needed
  Compare -81 and -60
  No swap needed
  Compare -60 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -81, -60, -45, -19, -2, 8, 27, 49]
</think>

<response>-86, -81, -60, -45, -19, -2, 8, 27, 49</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 59, 31, 68, -29.

output:
<think>
Initial list: [59, 31, 68, -29]

Pass 1:
  Compare 59 and 31
  Swap 59 and 31
  List after swap: [31, 59, 68, -29]
  Compare 59 and 68
  No swap needed
  Compare 68 and -29
  Swap 68 and -29
  List after swap: [31, 59, -29, 68]

Pass 2:
  Compare 31 and 59
  No swap needed
  Compare 59 and -29
  Swap 59 and -29
  List after swap: [31, -29, 59, 68]

Pass 3:
  Compare 31 and -29
  Swap 31 and -29
  List after swap: [-29, 31, 59, 68]

Pass 4:
  No swaps in this pass, list is sorted.

Final sorted list: [-29, 31, 59, 68]
</think>

<response>-29, 31, 59, 68</response>


input: Execute bubble sort to sort 31, 87, -39, -8 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [31, 87, -39, -8]

Pass 1:
  Compare 31 and 87
  No swap needed
  Compare 87 and -39
  Swap 87 and -39
  List after swap: [31, -39, 87, -8]
  Compare 87 and -8
  Swap 87 and -8
  List after swap: [31, -39, -8, 87]

Pass 2:
  Compare 31 and -39
  Swap 31 and -39
  List after swap: [-39, 31, -8, 87]
  Compare 31 and -8
  Swap 31 and -8
  List after swap: [-39, -8, 31, 87]

Pass 3:
  Compare -39 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -8, 31, 87]
</think>

<response>-39, -8, 31, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -2, -50, -94, -33.

output:
<think>
Initial list: [-2, -50, -94, -33]

Pass 1:
  Compare -2 and -50
  Swap -2 and -50
  List after swap: [-50, -2, -94, -33]
  Compare -2 and -94
  Swap -2 and -94
  List after swap: [-50, -94, -2, -33]
  Compare -2 and -33
  Swap -2 and -33
  List after swap: [-50, -94, -33, -2]

Pass 2:
  Compare -50 and -94
  Swap -50 and -94
  List after swap: [-94, -50, -33, -2]
  Compare -50 and -33
  No swap needed

Pass 3:
  Compare -94 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -50, -33, -2]
</think>

<response>-94, -50, -33, -2</response>


input: Using the bubble sort method, sort 41, 97, -36, 2, 95, -45, -38, -15, -56, 70 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [41, 97, -36, 2, 95, -45, -38, -15, -56, 70]

Pass 1:
  Compare 41 and 97
  No swap needed
  Compare 97 and -36
  Swap 97 and -36
  List after swap: [41, -36, 97, 2, 95, -45, -38, -15, -56, 70]
  Compare 97 and 2
  Swap 97 and 2
  List after swap: [41, -36, 2, 97, 95, -45, -38, -15, -56, 70]
  Compare 97 and 95
  Swap 97 and 95
  List after swap: [41, -36, 2, 95, 97, -45, -38, -15, -56, 70]
  Compare 97 and -45
  Swap 97 and -45
  List after swap: [41, -36, 2, 95, -45, 97, -38, -15, -56, 70]
  Compare 97 and -38
  Swap 97 and -38
  List after swap: [41, -36, 2, 95, -45, -38, 97, -15, -56, 70]
  Compare 97 and -15
  Swap 97 and -15
  List after swap: [41, -36, 2, 95, -45, -38, -15, 97, -56, 70]
  Compare 97 and -56
  Swap 97 and -56
  List after swap: [41, -36, 2, 95, -45, -38, -15, -56, 97, 70]
  Compare 97 and 70
  Swap 97 and 70
  List after swap: [41, -36, 2, 95, -45, -38, -15, -56, 70, 97]

Pass 2:
  Compare 41 and -36
  Swap 41 and -36
  List after swap: [-36, 41, 2, 95, -45, -38, -15, -56, 70, 97]
  Compare 41 and 2
  Swap 41 and 2
  List after swap: [-36, 2, 41, 95, -45, -38, -15, -56, 70, 97]
  Compare 41 and 95
  No swap needed
  Compare 95 and -45
  Swap 95 and -45
  List after swap: [-36, 2, 41, -45, 95, -38, -15, -56, 70, 97]
  Compare 95 and -38
  Swap 95 and -38
  List after swap: [-36, 2, 41, -45, -38, 95, -15, -56, 70, 97]
  Compare 95 and -15
  Swap 95 and -15
  List after swap: [-36, 2, 41, -45, -38, -15, 95, -56, 70, 97]
  Compare 95 and -56
  Swap 95 and -56
  List after swap: [-36, 2, 41, -45, -38, -15, -56, 95, 70, 97]
  Compare 95 and 70
  Swap 95 and 70
  List after swap: [-36, 2, 41, -45, -38, -15, -56, 70, 95, 97]

Pass 3:
  Compare -36 and 2
  No swap needed
  Compare 2 and 41
  No swap needed
  Compare 41 and -45
  Swap 41 and -45
  List after swap: [-36, 2, -45, 41, -38, -15, -56, 70, 95, 97]
  Compare 41 and -38
  Swap 41 and -38
  List after swap: [-36, 2, -45, -38, 41, -15, -56, 70, 95, 97]
  Compare 41 and -15
  Swap 41 and -15
  List after swap: [-36, 2, -45, -38, -15, 41, -56, 70, 95, 97]
  Compare 41 and -56
  Swap 41 and -56
  List after swap: [-36, 2, -45, -38, -15, -56, 41, 70, 95, 97]
  Compare 41 and 70
  No swap needed

Pass 4:
  Compare -36 and 2
  No swap needed
  Compare 2 and -45
  Swap 2 and -45
  List after swap: [-36, -45, 2, -38, -15, -56, 41, 70, 95, 97]
  Compare 2 and -38
  Swap 2 and -38
  List after swap: [-36, -45, -38, 2, -15, -56, 41, 70, 95, 97]
  Compare 2 and -15
  Swap 2 and -15
  List after swap: [-36, -45, -38, -15, 2, -56, 41, 70, 95, 97]
  Compare 2 and -56
  Swap 2 and -56
  List after swap: [-36, -45, -38, -15, -56, 2, 41, 70, 95, 97]
  Compare 2 and 41
  No swap needed

Pass 5:
  Compare -36 and -45
  Swap -36 and -45
  List after swap: [-45, -36, -38, -15, -56, 2, 41, 70, 95, 97]
  Compare -36 and -38
  Swap -36 and -38
  List after swap: [-45, -38, -36, -15, -56, 2, 41, 70, 95, 97]
  Compare -36 and -15
  No swap needed
  Compare -15 and -56
  Swap -15 and -56
  List after swap: [-45, -38, -36, -56, -15, 2, 41, 70, 95, 97]
  Compare -15 and 2
  No swap needed

Pass 6:
  Compare -45 and -38
  No swap needed
  Compare -38 and -36
  No swap needed
  Compare -36 and -56
  Swap -36 and -56
  List after swap: [-45, -38, -56, -36, -15, 2, 41, 70, 95, 97]
  Compare -36 and -15
  No swap needed

Pass 7:
  Compare -45 and -38
  No swap needed
  Compare -38 and -56
  Swap -38 and -56
  List after swap: [-45, -56, -38, -36, -15, 2, 41, 70, 95, 97]
  Compare -38 and -36
  No swap needed

Pass 8:
  Compare -45 and -56
  Swap -45 and -56
  List after swap: [-56, -45, -38, -36, -15, 2, 41, 70, 95, 97]
  Compare -45 and -38
  No swap needed

Pass 9:
  Compare -56 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -45, -38, -36, -15, 2, 41, 70, 95, 97]
</think>

<response>-56, -45, -38, -36, -15, 2, 41, 70, 95, 97</response>


input: Implement bubble sort on 21, -61, 94, 41, 93 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [21, -61, 94, 41, 93]

Pass 1:
  Compare 21 and -61
  Swap 21 and -61
  List after swap: [-61, 21, 94, 41, 93]
  Compare 21 and 94
  No swap needed
  Compare 94 and 41
  Swap 94 and 41
  List after swap: [-61, 21, 41, 94, 93]
  Compare 94 and 93
  Swap 94 and 93
  List after swap: [-61, 21, 41, 93, 94]

Pass 2:
  Compare -61 and 21
  No swap needed
  Compare 21 and 41
  No swap needed
  Compare 41 and 93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, 21, 41, 93, 94]
</think>

<response>-61, 21, 41, 93, 94</response>


input: Sort the list -41, 41, 19 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-41, 41, 19]

Pass 1:
  Compare -41 and 41
  No swap needed
  Compare 41 and 19
  Swap 41 and 19
  List after swap: [-41, 19, 41]

Pass 2:
  Compare -41 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, 19, 41]
</think>

<response>-41, 19, 41</response>


input: Execute bubble sort to sort 62, 35, 7 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [62, 35, 7]

Pass 1:
  Compare 62 and 35
  Swap 62 and 35
  List after swap: [35, 62, 7]
  Compare 62 and 7
  Swap 62 and 7
  List after swap: [35, 7, 62]

Pass 2:
  Compare 35 and 7
  Swap 35 and 7
  List after swap: [7, 35, 62]

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

Final sorted list: [7, 35, 62]
</think>

<response>7, 35, 62</response>


input: Execute bubble sort to sort 25, 97, -87, -76, 33, -34, -89 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [25, 97, -87, -76, 33, -34, -89]

Pass 1:
  Compare 25 and 97
  No swap needed
  Compare 97 and -87
  Swap 97 and -87
  List after swap: [25, -87, 97, -76, 33, -34, -89]
  Compare 97 and -76
  Swap 97 and -76
  List after swap: [25, -87, -76, 97, 33, -34, -89]
  Compare 97 and 33
  Swap 97 and 33
  List after swap: [25, -87, -76, 33, 97, -34, -89]
  Compare 97 and -34
  Swap 97 and -34
  List after swap: [25, -87, -76, 33, -34, 97, -89]
  Compare 97 and -89
  Swap 97 and -89
  List after swap: [25, -87, -76, 33, -34, -89, 97]

Pass 2:
  Compare 25 and -87
  Swap 25 and -87
  List after swap: [-87, 25, -76, 33, -34, -89, 97]
  Compare 25 and -76
  Swap 25 and -76
  List after swap: [-87, -76, 25, 33, -34, -89, 97]
  Compare 25 and 33
  No swap needed
  Compare 33 and -34
  Swap 33 and -34
  List after swap: [-87, -76, 25, -34, 33, -89, 97]
  Compare 33 and -89
  Swap 33 and -89
  List after swap: [-87, -76, 25, -34, -89, 33, 97]

Pass 3:
  Compare -87 and -76
  No swap needed
  Compare -76 and 25
  No swap needed
  Compare 25 and -34
  Swap 25 and -34
  List after swap: [-87, -76, -34, 25, -89, 33, 97]
  Compare 25 and -89
  Swap 25 and -89
  List after swap: [-87, -76, -34, -89, 25, 33, 97]

Pass 4:
  Compare -87 and -76
  No swap needed
  Compare -76 and -34
  No swap needed
  Compare -34 and -89
  Swap -34 and -89
  List after swap: [-87, -76, -89, -34, 25, 33, 97]

Pass 5:
  Compare -87 and -76
  No swap needed
  Compare -76 and -89
  Swap -76 and -89
  List after swap: [-87, -89, -76, -34, 25, 33, 97]

Pass 6:
  Compare -87 and -89
  Swap -87 and -89
  List after swap: [-89, -87, -76, -34, 25, 33, 97]

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

Final sorted list: [-89, -87, -76, -34, 25, 33, 97]
</think>

<response>-89, -87, -76, -34, 25, 33, 97</response>


input: Arrange the numbers -8, 78, 85, -85, -45, 12, 75 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-8, 78, 85, -85, -45, 12, 75]

Pass 1:
  Compare -8 and 78
  No swap needed
  Compare 78 and 85
  No swap needed
  Compare 85 and -85
  Swap 85 and -85
  List after swap: [-8, 78, -85, 85, -45, 12, 75]
  Compare 85 and -45
  Swap 85 and -45
  List after swap: [-8, 78, -85, -45, 85, 12, 75]
  Compare 85 and 12
  Swap 85 and 12
  List after swap: [-8, 78, -85, -45, 12, 85, 75]
  Compare 85 and 75
  Swap 85 and 75
  List after swap: [-8, 78, -85, -45, 12, 75, 85]

Pass 2:
  Compare -8 and 78
  No swap needed
  Compare 78 and -85
  Swap 78 and -85
  List after swap: [-8, -85, 78, -45, 12, 75, 85]
  Compare 78 and -45
  Swap 78 and -45
  List after swap: [-8, -85, -45, 78, 12, 75, 85]
  Compare 78 and 12
  Swap 78 and 12
  List after swap: [-8, -85, -45, 12, 78, 75, 85]
  Compare 78 and 75
  Swap 78 and 75
  List after swap: [-8, -85, -45, 12, 75, 78, 85]

Pass 3:
  Compare -8 and -85
  Swap -8 and -85
  List after swap: [-85, -8, -45, 12, 75, 78, 85]
  Compare -8 and -45
  Swap -8 and -45
  List after swap: [-85, -45, -8, 12, 75, 78, 85]
  Compare -8 and 12
  No swap needed
  Compare 12 and 75
  No swap needed

Pass 4:
  Compare -85 and -45
  No swap needed
  Compare -45 and -8
  No swap needed
  Compare -8 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -45, -8, 12, 75, 78, 85]
</think>

<response>-85, -45, -8, 12, 75, 78, 85</response>


input: Using the bubble sort method, sort -45, -69 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-45, -69]

Pass 1:
  Compare -45 and -69
  Swap -45 and -69
  List after swap: [-69, -45]

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

Final sorted list: [-69, -45]
</think>

<response>-69, -45</response>


input: Using the bubble sort method, sort -40, 91, -84, 53, 82, 9, 51, -83 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-40, 91, -84, 53, 82, 9, 51, -83]

Pass 1:
  Compare -40 and 91
  No swap needed
  Compare 91 and -84
  Swap 91 and -84
  List after swap: [-40, -84, 91, 53, 82, 9, 51, -83]
  Compare 91 and 53
  Swap 91 and 53
  List after swap: [-40, -84, 53, 91, 82, 9, 51, -83]
  Compare 91 and 82
  Swap 91 and 82
  List after swap: [-40, -84, 53, 82, 91, 9, 51, -83]
  Compare 91 and 9
  Swap 91 and 9
  List after swap: [-40, -84, 53, 82, 9, 91, 51, -83]
  Compare 91 and 51
  Swap 91 and 51
  List after swap: [-40, -84, 53, 82, 9, 51, 91, -83]
  Compare 91 and -83
  Swap 91 and -83
  List after swap: [-40, -84, 53, 82, 9, 51, -83, 91]

Pass 2:
  Compare -40 and -84
  Swap -40 and -84
  List after swap: [-84, -40, 53, 82, 9, 51, -83, 91]
  Compare -40 and 53
  No swap needed
  Compare 53 and 82
  No swap needed
  Compare 82 and 9
  Swap 82 and 9
  List after swap: [-84, -40, 53, 9, 82, 51, -83, 91]
  Compare 82 and 51
  Swap 82 and 51
  List after swap: [-84, -40, 53, 9, 51, 82, -83, 91]
  Compare 82 and -83
  Swap 82 and -83
  List after swap: [-84, -40, 53, 9, 51, -83, 82, 91]

Pass 3:
  Compare -84 and -40
  No swap needed
  Compare -40 and 53
  No swap needed
  Compare 53 and 9
  Swap 53 and 9
  List after swap: [-84, -40, 9, 53, 51, -83, 82, 91]
  Compare 53 and 51
  Swap 53 and 51
  List after swap: [-84, -40, 9, 51, 53, -83, 82, 91]
  Compare 53 and -83
  Swap 53 and -83
  List after swap: [-84, -40, 9, 51, -83, 53, 82, 91]

Pass 4:
  Compare -84 and -40
  No swap needed
  Compare -40 and 9
  No swap needed
  Compare 9 and 51
  No swap needed
  Compare 51 and -83
  Swap 51 and -83
  List after swap: [-84, -40, 9, -83, 51, 53, 82, 91]

Pass 5:
  Compare -84 and -40
  No swap needed
  Compare -40 and 9
  No swap needed
  Compare 9 and -83
  Swap 9 and -83
  List after swap: [-84, -40, -83, 9, 51, 53, 82, 91]

Pass 6:
  Compare -84 and -40
  No swap needed
  Compare -40 and -83
  Swap -40 and -83
  List after swap: [-84, -83, -40, 9, 51, 53, 82, 91]

Pass 7:
  Compare -84 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -83, -40, 9, 51, 53, 82, 91]
</think>

<response>-84, -83, -40, 9, 51, 53, 82, 91</response>


input: Execute bubble sort to sort -9, 56, -38, -70, -49, -86, -37, 81, -98, -44 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-9, 56, -38, -70, -49, -86, -37, 81, -98, -44]

Pass 1:
  Compare -9 and 56
  No swap needed
  Compare 56 and -38
  Swap 56 and -38
  List after swap: [-9, -38, 56, -70, -49, -86, -37, 81, -98, -44]
  Compare 56 and -70
  Swap 56 and -70
  List after swap: [-9, -38, -70, 56, -49, -86, -37, 81, -98, -44]
  Compare 56 and -49
  Swap 56 and -49
  List after swap: [-9, -38, -70, -49, 56, -86, -37, 81, -98, -44]
  Compare 56 and -86
  Swap 56 and -86
  List after swap: [-9, -38, -70, -49, -86, 56, -37, 81, -98, -44]
  Compare 56 and -37
  Swap 56 and -37
  List after swap: [-9, -38, -70, -49, -86, -37, 56, 81, -98, -44]
  Compare 56 and 81
  No swap needed
  Compare 81 and -98
  Swap 81 and -98
  List after swap: [-9, -38, -70, -49, -86, -37, 56, -98, 81, -44]
  Compare 81 and -44
  Swap 81 and -44
  List after swap: [-9, -38, -70, -49, -86, -37, 56, -98, -44, 81]

Pass 2:
  Compare -9 and -38
  Swap -9 and -38
  List after swap: [-38, -9, -70, -49, -86, -37, 56, -98, -44, 81]
  Compare -9 and -70
  Swap -9 and -70
  List after swap: [-38, -70, -9, -49, -86, -37, 56, -98, -44, 81]
  Compare -9 and -49
  Swap -9 and -49
  List after swap: [-38, -70, -49, -9, -86, -37, 56, -98, -44, 81]
  Compare -9 and -86
  Swap -9 and -86
  List after swap: [-38, -70, -49, -86, -9, -37, 56, -98, -44, 81]
  Compare -9 and -37
  Swap -9 and -37
  List after swap: [-38, -70, -49, -86, -37, -9, 56, -98, -44, 81]
  Compare -9 and 56
  No swap needed
  Compare 56 and -98
  Swap 56 and -98
  List after swap: [-38, -70, -49, -86, -37, -9, -98, 56, -44, 81]
  Compare 56 and -44
  Swap 56 and -44
  List after swap: [-38, -70, -49, -86, -37, -9, -98, -44, 56, 81]

Pass 3:
  Compare -38 and -70
  Swap -38 and -70
  List after swap: [-70, -38, -49, -86, -37, -9, -98, -44, 56, 81]
  Compare -38 and -49
  Swap -38 and -49
  List after swap: [-70, -49, -38, -86, -37, -9, -98, -44, 56, 81]
  Compare -38 and -86
  Swap -38 and -86
  List after swap: [-70, -49, -86, -38, -37, -9, -98, -44, 56, 81]
  Compare -38 and -37
  No swap needed
  Compare -37 and -9
  No swap needed
  Compare -9 and -98
  Swap -9 and -98
  List after swap: [-70, -49, -86, -38, -37, -98, -9, -44, 56, 81]
  Compare -9 and -44
  Swap -9 and -44
  List after swap: [-70, -49, -86, -38, -37, -98, -44, -9, 56, 81]

Pass 4:
  Compare -70 and -49
  No swap needed
  Compare -49 and -86
  Swap -49 and -86
  List after swap: [-70, -86, -49, -38, -37, -98, -44, -9, 56, 81]
  Compare -49 and -38
  No swap needed
  Compare -38 and -37
  No swap needed
  Compare -37 and -98
  Swap -37 and -98
  List after swap: [-70, -86, -49, -38, -98, -37, -44, -9, 56, 81]
  Compare -37 and -44
  Swap -37 and -44
  List after swap: [-70, -86, -49, -38, -98, -44, -37, -9, 56, 81]

Pass 5:
  Compare -70 and -86
  Swap -70 and -86
  List after swap: [-86, -70, -49, -38, -98, -44, -37, -9, 56, 81]
  Compare -70 and -49
  No swap needed
  Compare -49 and -38
  No swap needed
  Compare -38 and -98
  Swap -38 and -98
  List after swap: [-86, -70, -49, -98, -38, -44, -37, -9, 56, 81]
  Compare -38 and -44
  Swap -38 and -44
  List after swap: [-86, -70, -49, -98, -44, -38, -37, -9, 56, 81]

Pass 6:
  Compare -86 and -70
  No swap needed
  Compare -70 and -49
  No swap needed
  Compare -49 and -98
  Swap -49 and -98
  List after swap: [-86, -70, -98, -49, -44, -38, -37, -9, 56, 81]
  Compare -49 and -44
  No swap needed

Pass 7:
  Compare -86 and -70
  No swap needed
  Compare -70 and -98
  Swap -70 and -98
  List after swap: [-86, -98, -70, -49, -44, -38, -37, -9, 56, 81]
  Compare -70 and -49
  No swap needed

Pass 8:
  Compare -86 and -98
  Swap -86 and -98
  List after swap: [-98, -86, -70, -49, -44, -38, -37, -9, 56, 81]
  Compare -86 and -70
  No swap needed

Pass 9:
  Compare -98 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -86, -70, -49, -44, -38, -37, -9, 56, 81]
</think>

<response>-98, -86, -70, -49, -44, -38, -37, -9, 56, 81</response>


input: Using the bubble sort method, sort -67, 33, 64, 37, -26, -12, -45, 74 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-67, 33, 64, 37, -26, -12, -45, 74]

Pass 1:
  Compare -67 and 33
  No swap needed
  Compare 33 and 64
  No swap needed
  Compare 64 and 37
  Swap 64 and 37
  List after swap: [-67, 33, 37, 64, -26, -12, -45, 74]
  Compare 64 and -26
  Swap 64 and -26
  List after swap: [-67, 33, 37, -26, 64, -12, -45, 74]
  Compare 64 and -12
  Swap 64 and -12
  List after swap: [-67, 33, 37, -26, -12, 64, -45, 74]
  Compare 64 and -45
  Swap 64 and -45
  List after swap: [-67, 33, 37, -26, -12, -45, 64, 74]
  Compare 64 and 74
  No swap needed

Pass 2:
  Compare -67 and 33
  No swap needed
  Compare 33 and 37
  No swap needed
  Compare 37 and -26
  Swap 37 and -26
  List after swap: [-67, 33, -26, 37, -12, -45, 64, 74]
  Compare 37 and -12
  Swap 37 and -12
  List after swap: [-67, 33, -26, -12, 37, -45, 64, 74]
  Compare 37 and -45
  Swap 37 and -45
  List after swap: [-67, 33, -26, -12, -45, 37, 64, 74]
  Compare 37 and 64
  No swap needed

Pass 3:
  Compare -67 and 33
  No swap needed
  Compare 33 and -26
  Swap 33 and -26
  List after swap: [-67, -26, 33, -12, -45, 37, 64, 74]
  Compare 33 and -12
  Swap 33 and -12
  List after swap: [-67, -26, -12, 33, -45, 37, 64, 74]
  Compare 33 and -45
  Swap 33 and -45
  List after swap: [-67, -26, -12, -45, 33, 37, 64, 74]
  Compare 33 and 37
  No swap needed

Pass 4:
  Compare -67 and -26
  No swap needed
  Compare -26 and -12
  No swap needed
  Compare -12 and -45
  Swap -12 and -45
  List after swap: [-67, -26, -45, -12, 33, 37, 64, 74]
  Compare -12 and 33
  No swap needed

Pass 5:
  Compare -67 and -26
  No swap needed
  Compare -26 and -45
  Swap -26 and -45
  List after swap: [-67, -45, -26, -12, 33, 37, 64, 74]
  Compare -26 and -12
  No swap needed

Pass 6:
  Compare -67 and -45
  No swap needed
  Compare -45 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -45, -26, -12, 33, 37, 64, 74]
</think>

<response>-67, -45, -26, -12, 33, 37, 64, 74</response>


input: Arrange the numbers -59, 25, 4, 42, 90, 27 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-59, 25, 4, 42, 90, 27]

Pass 1:
  Compare -59 and 25
  No swap needed
  Compare 25 and 4
  Swap 25 and 4
  List after swap: [-59, 4, 25, 42, 90, 27]
  Compare 25 and 42
  No swap needed
  Compare 42 and 90
  No swap needed
  Compare 90 and 27
  Swap 90 and 27
  List after swap: [-59, 4, 25, 42, 27, 90]

Pass 2:
  Compare -59 and 4
  No swap needed
  Compare 4 and 25
  No swap needed
  Compare 25 and 42
  No swap needed
  Compare 42 and 27
  Swap 42 and 27
  List after swap: [-59, 4, 25, 27, 42, 90]

Pass 3:
  Compare -59 and 4
  No swap needed
  Compare 4 and 25
  No swap needed
  Compare 25 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, 4, 25, 27, 42, 90]
</think>

<response>-59, 4, 25, 27, 42, 90</response>


input: Perform a bubble sort on the integers -64, 7, arranging them in ascending order and outlining every step.

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

Pass 1:
  Compare -64 and 7
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-64, 7</response>


input: Use the bubble sort technique to reorder 0, -79, 4 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [0, -79, 4]

Pass 1:
  Compare 0 and -79
  Swap 0 and -79
  List after swap: [-79, 0, 4]
  Compare 0 and 4
  No swap needed

Pass 2:
  Compare -79 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, 0, 4]
</think>

<response>-79, 0, 4</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 32, 9, 92, -63.

output:
<think>
Initial list: [32, 9, 92, -63]

Pass 1:
  Compare 32 and 9
  Swap 32 and 9
  List after swap: [9, 32, 92, -63]
  Compare 32 and 92
  No swap needed
  Compare 92 and -63
  Swap 92 and -63
  List after swap: [9, 32, -63, 92]

Pass 2:
  Compare 9 and 32
  No swap needed
  Compare 32 and -63
  Swap 32 and -63
  List after swap: [9, -63, 32, 92]

Pass 3:
  Compare 9 and -63
  Swap 9 and -63
  List after swap: [-63, 9, 32, 92]

Pass 4:
  No swaps in this pass, list is sorted.

Final sorted list: [-63, 9, 32, 92]
</think>

<response>-63, 9, 32, 92</response>


input: Use the bubble sort technique to reorder -74, -82, 15, -79, 40, -48 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-74, -82, 15, -79, 40, -48]

Pass 1:
  Compare -74 and -82
  Swap -74 and -82
  List after swap: [-82, -74, 15, -79, 40, -48]
  Compare -74 and 15
  No swap needed
  Compare 15 and -79
  Swap 15 and -79
  List after swap: [-82, -74, -79, 15, 40, -48]
  Compare 15 and 40
  No swap needed
  Compare 40 and -48
  Swap 40 and -48
  List after swap: [-82, -74, -79, 15, -48, 40]

Pass 2:
  Compare -82 and -74
  No swap needed
  Compare -74 and -79
  Swap -74 and -79
  List after swap: [-82, -79, -74, 15, -48, 40]
  Compare -74 and 15
  No swap needed
  Compare 15 and -48
  Swap 15 and -48
  List after swap: [-82, -79, -74, -48, 15, 40]

Pass 3:
  Compare -82 and -79
  No swap needed
  Compare -79 and -74
  No swap needed
  Compare -74 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -79, -74, -48, 15, 40]
</think>

<response>-82, -79, -74, -48, 15, 40</response>


input: Implement bubble sort on -30, 75, 86, 23, 59, 77, -11, 21 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-30, 75, 86, 23, 59, 77, -11, 21]

Pass 1:
  Compare -30 and 75
  No swap needed
  Compare 75 and 86
  No swap needed
  Compare 86 and 23
  Swap 86 and 23
  List after swap: [-30, 75, 23, 86, 59, 77, -11, 21]
  Compare 86 and 59
  Swap 86 and 59
  List after swap: [-30, 75, 23, 59, 86, 77, -11, 21]
  Compare 86 and 77
  Swap 86 and 77
  List after swap: [-30, 75, 23, 59, 77, 86, -11, 21]
  Compare 86 and -11
  Swap 86 and -11
  List after swap: [-30, 75, 23, 59, 77, -11, 86, 21]
  Compare 86 and 21
  Swap 86 and 21
  List after swap: [-30, 75, 23, 59, 77, -11, 21, 86]

Pass 2:
  Compare -30 and 75
  No swap needed
  Compare 75 and 23
  Swap 75 and 23
  List after swap: [-30, 23, 75, 59, 77, -11, 21, 86]
  Compare 75 and 59
  Swap 75 and 59
  List after swap: [-30, 23, 59, 75, 77, -11, 21, 86]
  Compare 75 and 77
  No swap needed
  Compare 77 and -11
  Swap 77 and -11
  List after swap: [-30, 23, 59, 75, -11, 77, 21, 86]
  Compare 77 and 21
  Swap 77 and 21
  List after swap: [-30, 23, 59, 75, -11, 21, 77, 86]

Pass 3:
  Compare -30 and 23
  No swap needed
  Compare 23 and 59
  No swap needed
  Compare 59 and 75
  No swap needed
  Compare 75 and -11
  Swap 75 and -11
  List after swap: [-30, 23, 59, -11, 75, 21, 77, 86]
  Compare 75 and 21
  Swap 75 and 21
  List after swap: [-30, 23, 59, -11, 21, 75, 77, 86]

Pass 4:
  Compare -30 and 23
  No swap needed
  Compare 23 and 59
  No swap needed
  Compare 59 and -11
  Swap 59 and -11
  List after swap: [-30, 23, -11, 59, 21, 75, 77, 86]
  Compare 59 and 21
  Swap 59 and 21
  List after swap: [-30, 23, -11, 21, 59, 75, 77, 86]

Pass 5:
  Compare -30 and 23
  No swap needed
  Compare 23 and -11
  Swap 23 and -11
  List after swap: [-30, -11, 23, 21, 59, 75, 77, 86]
  Compare 23 and 21
  Swap 23 and 21
  List after swap: [-30, -11, 21, 23, 59, 75, 77, 86]

Pass 6:
  Compare -30 and -11
  No swap needed
  Compare -11 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -11, 21, 23, 59, 75, 77, 86]
</think>

<response>-30, -11, 21, 23, 59, 75, 77, 86</response>


input: Use the bubble sort technique to reorder -100, 1 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-100, 1]

Pass 1:
  Compare -100 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, 1]
</think>

<response>-100, 1</response>


input: Using the bubble sort method, sort -83, 4 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-83, 4]

Pass 1:
  Compare -83 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, 4]
</think>

<response>-83, 4</response>


input: Arrange the numbers 53, 78 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [53, 78]

Pass 1:
  Compare 53 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [53, 78]
</think>

<response>53, 78</response>


input: Sort the list 4, -89, -26, -81, -20 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [4, -89, -26, -81, -20]

Pass 1:
  Compare 4 and -89
  Swap 4 and -89
  List after swap: [-89, 4, -26, -81, -20]
  Compare 4 and -26
  Swap 4 and -26
  List after swap: [-89, -26, 4, -81, -20]
  Compare 4 and -81
  Swap 4 and -81
  List after swap: [-89, -26, -81, 4, -20]
  Compare 4 and -20
  Swap 4 and -20
  List after swap: [-89, -26, -81, -20, 4]

Pass 2:
  Compare -89 and -26
  No swap needed
  Compare -26 and -81
  Swap -26 and -81
  List after swap: [-89, -81, -26, -20, 4]
  Compare -26 and -20
  No swap needed

Pass 3:
  Compare -89 and -81
  No swap needed
  Compare -81 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -81, -26, -20, 4]
</think>

<response>-89, -81, -26, -20, 4</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -9, -53, -1, 57, 88, -75.

output:
<think>
Initial list: [-9, -53, -1, 57, 88, -75]

Pass 1:
  Compare -9 and -53
  Swap -9 and -53
  List after swap: [-53, -9, -1, 57, 88, -75]
  Compare -9 and -1
  No swap needed
  Compare -1 and 57
  No swap needed
  Compare 57 and 88
  No swap needed
  Compare 88 and -75
  Swap 88 and -75
  List after swap: [-53, -9, -1, 57, -75, 88]

Pass 2:
  Compare -53 and -9
  No swap needed
  Compare -9 and -1
  No swap needed
  Compare -1 and 57
  No swap needed
  Compare 57 and -75
  Swap 57 and -75
  List after swap: [-53, -9, -1, -75, 57, 88]

Pass 3:
  Compare -53 and -9
  No swap needed
  Compare -9 and -1
  No swap needed
  Compare -1 and -75
  Swap -1 and -75
  List after swap: [-53, -9, -75, -1, 57, 88]

Pass 4:
  Compare -53 and -9
  No swap needed
  Compare -9 and -75
  Swap -9 and -75
  List after swap: [-53, -75, -9, -1, 57, 88]

Pass 5:
  Compare -53 and -75
  Swap -53 and -75
  List after swap: [-75, -53, -9, -1, 57, 88]

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

Final sorted list: [-75, -53, -9, -1, 57, 88]
</think>

<response>-75, -53, -9, -1, 57, 88</response>


input: Sort the list -39, -79, 93, 43, -68, -45, -14, -61, 29, -24 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-39, -79, 93, 43, -68, -45, -14, -61, 29, -24]

Pass 1:
  Compare -39 and -79
  Swap -39 and -79
  List after swap: [-79, -39, 93, 43, -68, -45, -14, -61, 29, -24]
  Compare -39 and 93
  No swap needed
  Compare 93 and 43
  Swap 93 and 43
  List after swap: [-79, -39, 43, 93, -68, -45, -14, -61, 29, -24]
  Compare 93 and -68
  Swap 93 and -68
  List after swap: [-79, -39, 43, -68, 93, -45, -14, -61, 29, -24]
  Compare 93 and -45
  Swap 93 and -45
  List after swap: [-79, -39, 43, -68, -45, 93, -14, -61, 29, -24]
  Compare 93 and -14
  Swap 93 and -14
  List after swap: [-79, -39, 43, -68, -45, -14, 93, -61, 29, -24]
  Compare 93 and -61
  Swap 93 and -61
  List after swap: [-79, -39, 43, -68, -45, -14, -61, 93, 29, -24]
  Compare 93 and 29
  Swap 93 and 29
  List after swap: [-79, -39, 43, -68, -45, -14, -61, 29, 93, -24]
  Compare 93 and -24
  Swap 93 and -24
  List after swap: [-79, -39, 43, -68, -45, -14, -61, 29, -24, 93]

Pass 2:
  Compare -79 and -39
  No swap needed
  Compare -39 and 43
  No swap needed
  Compare 43 and -68
  Swap 43 and -68
  List after swap: [-79, -39, -68, 43, -45, -14, -61, 29, -24, 93]
  Compare 43 and -45
  Swap 43 and -45
  List after swap: [-79, -39, -68, -45, 43, -14, -61, 29, -24, 93]
  Compare 43 and -14
  Swap 43 and -14
  List after swap: [-79, -39, -68, -45, -14, 43, -61, 29, -24, 93]
  Compare 43 and -61
  Swap 43 and -61
  List after swap: [-79, -39, -68, -45, -14, -61, 43, 29, -24, 93]
  Compare 43 and 29
  Swap 43 and 29
  List after swap: [-79, -39, -68, -45, -14, -61, 29, 43, -24, 93]
  Compare 43 and -24
  Swap 43 and -24
  List after swap: [-79, -39, -68, -45, -14, -61, 29, -24, 43, 93]

Pass 3:
  Compare -79 and -39
  No swap needed
  Compare -39 and -68
  Swap -39 and -68
  List after swap: [-79, -68, -39, -45, -14, -61, 29, -24, 43, 93]
  Compare -39 and -45
  Swap -39 and -45
  List after swap: [-79, -68, -45, -39, -14, -61, 29, -24, 43, 93]
  Compare -39 and -14
  No swap needed
  Compare -14 and -61
  Swap -14 and -61
  List after swap: [-79, -68, -45, -39, -61, -14, 29, -24, 43, 93]
  Compare -14 and 29
  No swap needed
  Compare 29 and -24
  Swap 29 and -24
  List after swap: [-79, -68, -45, -39, -61, -14, -24, 29, 43, 93]

Pass 4:
  Compare -79 and -68
  No swap needed
  Compare -68 and -45
  No swap needed
  Compare -45 and -39
  No swap needed
  Compare -39 and -61
  Swap -39 and -61
  List after swap: [-79, -68, -45, -61, -39, -14, -24, 29, 43, 93]
  Compare -39 and -14
  No swap needed
  Compare -14 and -24
  Swap -14 and -24
  List after swap: [-79, -68, -45, -61, -39, -24, -14, 29, 43, 93]

Pass 5:
  Compare -79 and -68
  No swap needed
  Compare -68 and -45
  No swap needed
  Compare -45 and -61
  Swap -45 and -61
  List after swap: [-79, -68, -61, -45, -39, -24, -14, 29, 43, 93]
  Compare -45 and -39
  No swap needed
  Compare -39 and -24
  No swap needed

Pass 6:
  Compare -79 and -68
  No swap needed
  Compare -68 and -61
  No swap needed
  Compare -61 and -45
  No swap needed
  Compare -45 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -68, -61, -45, -39, -24, -14, 29, 43, 93]
</think>

<response>-79, -68, -61, -45, -39, -24, -14, 29, 43, 93</response>


input: Carry out the bubble sort algorithm on 86, 48, 49, 2, -81, -29, -76, 26, -22 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [86, 48, 49, 2, -81, -29, -76, 26, -22]

Pass 1:
  Compare 86 and 48
  Swap 86 and 48
  List after swap: [48, 86, 49, 2, -81, -29, -76, 26, -22]
  Compare 86 and 49
  Swap 86 and 49
  List after swap: [48, 49, 86, 2, -81, -29, -76, 26, -22]
  Compare 86 and 2
  Swap 86 and 2
  List after swap: [48, 49, 2, 86, -81, -29, -76, 26, -22]
  Compare 86 and -81
  Swap 86 and -81
  List after swap: [48, 49, 2, -81, 86, -29, -76, 26, -22]
  Compare 86 and -29
  Swap 86 and -29
  List after swap: [48, 49, 2, -81, -29, 86, -76, 26, -22]
  Compare 86 and -76
  Swap 86 and -76
  List after swap: [48, 49, 2, -81, -29, -76, 86, 26, -22]
  Compare 86 and 26
  Swap 86 and 26
  List after swap: [48, 49, 2, -81, -29, -76, 26, 86, -22]
  Compare 86 and -22
  Swap 86 and -22
  List after swap: [48, 49, 2, -81, -29, -76, 26, -22, 86]

Pass 2:
  Compare 48 and 49
  No swap needed
  Compare 49 and 2
  Swap 49 and 2
  List after swap: [48, 2, 49, -81, -29, -76, 26, -22, 86]
  Compare 49 and -81
  Swap 49 and -81
  List after swap: [48, 2, -81, 49, -29, -76, 26, -22, 86]
  Compare 49 and -29
  Swap 49 and -29
  List after swap: [48, 2, -81, -29, 49, -76, 26, -22, 86]
  Compare 49 and -76
  Swap 49 and -76
  List after swap: [48, 2, -81, -29, -76, 49, 26, -22, 86]
  Compare 49 and 26
  Swap 49 and 26
  List after swap: [48, 2, -81, -29, -76, 26, 49, -22, 86]
  Compare 49 and -22
  Swap 49 and -22
  List after swap: [48, 2, -81, -29, -76, 26, -22, 49, 86]

Pass 3:
  Compare 48 and 2
  Swap 48 and 2
  List after swap: [2, 48, -81, -29, -76, 26, -22, 49, 86]
  Compare 48 and -81
  Swap 48 and -81
  List after swap: [2, -81, 48, -29, -76, 26, -22, 49, 86]
  Compare 48 and -29
  Swap 48 and -29
  List after swap: [2, -81, -29, 48, -76, 26, -22, 49, 86]
  Compare 48 and -76
  Swap 48 and -76
  List after swap: [2, -81, -29, -76, 48, 26, -22, 49, 86]
  Compare 48 and 26
  Swap 48 and 26
  List after swap: [2, -81, -29, -76, 26, 48, -22, 49, 86]
  Compare 48 and -22
  Swap 48 and -22
  List after swap: [2, -81, -29, -76, 26, -22, 48, 49, 86]

Pass 4:
  Compare 2 and -81
  Swap 2 and -81
  List after swap: [-81, 2, -29, -76, 26, -22, 48, 49, 86]
  Compare 2 and -29
  Swap 2 and -29
  List after swap: [-81, -29, 2, -76, 26, -22, 48, 49, 86]
  Compare 2 and -76
  Swap 2 and -76
  List after swap: [-81, -29, -76, 2, 26, -22, 48, 49, 86]
  Compare 2 and 26
  No swap needed
  Compare 26 and -22
  Swap 26 and -22
  List after swap: [-81, -29, -76, 2, -22, 26, 48, 49, 86]

Pass 5:
  Compare -81 and -29
  No swap needed
  Compare -29 and -76
  Swap -29 and -76
  List after swap: [-81, -76, -29, 2, -22, 26, 48, 49, 86]
  Compare -29 and 2
  No swap needed
  Compare 2 and -22
  Swap 2 and -22
  List after swap: [-81, -76, -29, -22, 2, 26, 48, 49, 86]

Pass 6:
  Compare -81 and -76
  No swap needed
  Compare -76 and -29
  No swap needed
  Compare -29 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -76, -29, -22, 2, 26, 48, 49, 86]
</think>

<response>-81, -76, -29, -22, 2, 26, 48, 49, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 76, -88, 59.

output:
<think>
Initial list: [76, -88, 59]

Pass 1:
  Compare 76 and -88
  Swap 76 and -88
  List after swap: [-88, 76, 59]
  Compare 76 and 59
  Swap 76 and 59
  List after swap: [-88, 59, 76]

Pass 2:
  Compare -88 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, 59, 76]
</think>

<response>-88, 59, 76</response>


input: Sort these integers -3, 49, -30, 2, 84, -83 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-3, 49, -30, 2, 84, -83]

Pass 1:
  Compare -3 and 49
  No swap needed
  Compare 49 and -30
  Swap 49 and -30
  List after swap: [-3, -30, 49, 2, 84, -83]
  Compare 49 and 2
  Swap 49 and 2
  List after swap: [-3, -30, 2, 49, 84, -83]
  Compare 49 and 84
  No swap needed
  Compare 84 and -83
  Swap 84 and -83
  List after swap: [-3, -30, 2, 49, -83, 84]

Pass 2:
  Compare -3 and -30
  Swap -3 and -30
  List after swap: [-30, -3, 2, 49, -83, 84]
  Compare -3 and 2
  No swap needed
  Compare 2 and 49
  No swap needed
  Compare 49 and -83
  Swap 49 and -83
  List after swap: [-30, -3, 2, -83, 49, 84]

Pass 3:
  Compare -30 and -3
  No swap needed
  Compare -3 and 2
  No swap needed
  Compare 2 and -83
  Swap 2 and -83
  List after swap: [-30, -3, -83, 2, 49, 84]

Pass 4:
  Compare -30 and -3
  No swap needed
  Compare -3 and -83
  Swap -3 and -83
  List after swap: [-30, -83, -3, 2, 49, 84]

Pass 5:
  Compare -30 and -83
  Swap -30 and -83
  List after swap: [-83, -30, -3, 2, 49, 84]

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

Final sorted list: [-83, -30, -3, 2, 49, 84]
</think>

<response>-83, -30, -3, 2, 49, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -11, -10, -99, -88, 86, 57, -65.

output:
<think>
Initial list: [-11, -10, -99, -88, 86, 57, -65]

Pass 1:
  Compare -11 and -10
  No swap needed
  Compare -10 and -99
  Swap -10 and -99
  List after swap: [-11, -99, -10, -88, 86, 57, -65]
  Compare -10 and -88
  Swap -10 and -88
  List after swap: [-11, -99, -88, -10, 86, 57, -65]
  Compare -10 and 86
  No swap needed
  Compare 86 and 57
  Swap 86 and 57
  List after swap: [-11, -99, -88, -10, 57, 86, -65]
  Compare 86 and -65
  Swap 86 and -65
  List after swap: [-11, -99, -88, -10, 57, -65, 86]

Pass 2:
  Compare -11 and -99
  Swap -11 and -99
  List after swap: [-99, -11, -88, -10, 57, -65, 86]
  Compare -11 and -88
  Swap -11 and -88
  List after swap: [-99, -88, -11, -10, 57, -65, 86]
  Compare -11 and -10
  No swap needed
  Compare -10 and 57
  No swap needed
  Compare 57 and -65
  Swap 57 and -65
  List after swap: [-99, -88, -11, -10, -65, 57, 86]

Pass 3:
  Compare -99 and -88
  No swap needed
  Compare -88 and -11
  No swap needed
  Compare -11 and -10
  No swap needed
  Compare -10 and -65
  Swap -10 and -65
  List after swap: [-99, -88, -11, -65, -10, 57, 86]

Pass 4:
  Compare -99 and -88
  No swap needed
  Compare -88 and -11
  No swap needed
  Compare -11 and -65
  Swap -11 and -65
  List after swap: [-99, -88, -65, -11, -10, 57, 86]

Pass 5:
  Compare -99 and -88
  No swap needed
  Compare -88 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -88, -65, -11, -10, 57, 86]
</think>

<response>-99, -88, -65, -11, -10, 57, 86</response>


input: Execute bubble sort to sort 43, -23 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [43, -23]

Pass 1:
  Compare 43 and -23
  Swap 43 and -23
  List after swap: [-23, 43]

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

Final sorted list: [-23, 43]
</think>

<response>-23, 43</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 53, -96, 59, -84, 15, -85, -87.

output:
<think>
Initial list: [53, -96, 59, -84, 15, -85, -87]

Pass 1:
  Compare 53 and -96
  Swap 53 and -96
  List after swap: [-96, 53, 59, -84, 15, -85, -87]
  Compare 53 and 59
  No swap needed
  Compare 59 and -84
  Swap 59 and -84
  List after swap: [-96, 53, -84, 59, 15, -85, -87]
  Compare 59 and 15
  Swap 59 and 15
  List after swap: [-96, 53, -84, 15, 59, -85, -87]
  Compare 59 and -85
  Swap 59 and -85
  List after swap: [-96, 53, -84, 15, -85, 59, -87]
  Compare 59 and -87
  Swap 59 and -87
  List after swap: [-96, 53, -84, 15, -85, -87, 59]

Pass 2:
  Compare -96 and 53
  No swap needed
  Compare 53 and -84
  Swap 53 and -84
  List after swap: [-96, -84, 53, 15, -85, -87, 59]
  Compare 53 and 15
  Swap 53 and 15
  List after swap: [-96, -84, 15, 53, -85, -87, 59]
  Compare 53 and -85
  Swap 53 and -85
  List after swap: [-96, -84, 15, -85, 53, -87, 59]
  Compare 53 and -87
  Swap 53 and -87
  List after swap: [-96, -84, 15, -85, -87, 53, 59]

Pass 3:
  Compare -96 and -84
  No swap needed
  Compare -84 and 15
  No swap needed
  Compare 15 and -85
  Swap 15 and -85
  List after swap: [-96, -84, -85, 15, -87, 53, 59]
  Compare 15 and -87
  Swap 15 and -87
  List after swap: [-96, -84, -85, -87, 15, 53, 59]

Pass 4:
  Compare -96 and -84
  No swap needed
  Compare -84 and -85
  Swap -84 and -85
  List after swap: [-96, -85, -84, -87, 15, 53, 59]
  Compare -84 and -87
  Swap -84 and -87
  List after swap: [-96, -85, -87, -84, 15, 53, 59]

Pass 5:
  Compare -96 and -85
  No swap needed
  Compare -85 and -87
  Swap -85 and -87
  List after swap: [-96, -87, -85, -84, 15, 53, 59]

Pass 6:
  Compare -96 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -87, -85, -84, 15, 53, 59]
</think>

<response>-96, -87, -85, -84, 15, 53, 59</response>


input: Demonstrate how bubble sort orders the integers 72, -81, -56, -58, 4, 94, -22, -19, 69 in ascending sequence, showing all steps.

output:
<think>
Initial list: [72, -81, -56, -58, 4, 94, -22, -19, 69]

Pass 1:
  Compare 72 and -81
  Swap 72 and -81
  List after swap: [-81, 72, -56, -58, 4, 94, -22, -19, 69]
  Compare 72 and -56
  Swap 72 and -56
  List after swap: [-81, -56, 72, -58, 4, 94, -22, -19, 69]
  Compare 72 and -58
  Swap 72 and -58
  List after swap: [-81, -56, -58, 72, 4, 94, -22, -19, 69]
  Compare 72 and 4
  Swap 72 and 4
  List after swap: [-81, -56, -58, 4, 72, 94, -22, -19, 69]
  Compare 72 and 94
  No swap needed
  Compare 94 and -22
  Swap 94 and -22
  List after swap: [-81, -56, -58, 4, 72, -22, 94, -19, 69]
  Compare 94 and -19
  Swap 94 and -19
  List after swap: [-81, -56, -58, 4, 72, -22, -19, 94, 69]
  Compare 94 and 69
  Swap 94 and 69
  List after swap: [-81, -56, -58, 4, 72, -22, -19, 69, 94]

Pass 2:
  Compare -81 and -56
  No swap needed
  Compare -56 and -58
  Swap -56 and -58
  List after swap: [-81, -58, -56, 4, 72, -22, -19, 69, 94]
  Compare -56 and 4
  No swap needed
  Compare 4 and 72
  No swap needed
  Compare 72 and -22
  Swap 72 and -22
  List after swap: [-81, -58, -56, 4, -22, 72, -19, 69, 94]
  Compare 72 and -19
  Swap 72 and -19
  List after swap: [-81, -58, -56, 4, -22, -19, 72, 69, 94]
  Compare 72 and 69
  Swap 72 and 69
  List after swap: [-81, -58, -56, 4, -22, -19, 69, 72, 94]

Pass 3:
  Compare -81 and -58
  No swap needed
  Compare -58 and -56
  No swap needed
  Compare -56 and 4
  No swap needed
  Compare 4 and -22
  Swap 4 and -22
  List after swap: [-81, -58, -56, -22, 4, -19, 69, 72, 94]
  Compare 4 and -19
  Swap 4 and -19
  List after swap: [-81, -58, -56, -22, -19, 4, 69, 72, 94]
  Compare 4 and 69
  No swap needed

Pass 4:
  Compare -81 and -58
  No swap needed
  Compare -58 and -56
  No swap needed
  Compare -56 and -22
  No swap needed
  Compare -22 and -19
  No swap needed
  Compare -19 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -58, -56, -22, -19, 4, 69, 72, 94]
</think>

<response>-81, -58, -56, -22, -19, 4, 69, 72, 94</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -68, -89, 41, 0, -6.

output:
<think>
Initial list: [-68, -89, 41, 0, -6]

Pass 1:
  Compare -68 and -89
  Swap -68 and -89
  List after swap: [-89, -68, 41, 0, -6]
  Compare -68 and 41
  No swap needed
  Compare 41 and 0
  Swap 41 and 0
  List after swap: [-89, -68, 0, 41, -6]
  Compare 41 and -6
  Swap 41 and -6
  List after swap: [-89, -68, 0, -6, 41]

Pass 2:
  Compare -89 and -68
  No swap needed
  Compare -68 and 0
  No swap needed
  Compare 0 and -6
  Swap 0 and -6
  List after swap: [-89, -68, -6, 0, 41]

Pass 3:
  Compare -89 and -68
  No swap needed
  Compare -68 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -68, -6, 0, 41]
</think>

<response>-89, -68, -6, 0, 41</response>


input: Perform a bubble sort on the integers -22, -23, 61, -72, 13, 63, 39, 55, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-22, -23, 61, -72, 13, 63, 39, 55]

Pass 1:
  Compare -22 and -23
  Swap -22 and -23
  List after swap: [-23, -22, 61, -72, 13, 63, 39, 55]
  Compare -22 and 61
  No swap needed
  Compare 61 and -72
  Swap 61 and -72
  List after swap: [-23, -22, -72, 61, 13, 63, 39, 55]
  Compare 61 and 13
  Swap 61 and 13
  List after swap: [-23, -22, -72, 13, 61, 63, 39, 55]
  Compare 61 and 63
  No swap needed
  Compare 63 and 39
  Swap 63 and 39
  List after swap: [-23, -22, -72, 13, 61, 39, 63, 55]
  Compare 63 and 55
  Swap 63 and 55
  List after swap: [-23, -22, -72, 13, 61, 39, 55, 63]

Pass 2:
  Compare -23 and -22
  No swap needed
  Compare -22 and -72
  Swap -22 and -72
  List after swap: [-23, -72, -22, 13, 61, 39, 55, 63]
  Compare -22 and 13
  No swap needed
  Compare 13 and 61
  No swap needed
  Compare 61 and 39
  Swap 61 and 39
  List after swap: [-23, -72, -22, 13, 39, 61, 55, 63]
  Compare 61 and 55
  Swap 61 and 55
  List after swap: [-23, -72, -22, 13, 39, 55, 61, 63]

Pass 3:
  Compare -23 and -72
  Swap -23 and -72
  List after swap: [-72, -23, -22, 13, 39, 55, 61, 63]
  Compare -23 and -22
  No swap needed
  Compare -22 and 13
  No swap needed
  Compare 13 and 39
  No swap needed
  Compare 39 and 55
  No swap needed

Pass 4:
  Compare -72 and -23
  No swap needed
  Compare -23 and -22
  No swap needed
  Compare -22 and 13
  No swap needed
  Compare 13 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -23, -22, 13, 39, 55, 61, 63]
</think>

<response>-72, -23, -22, 13, 39, 55, 61, 63</response>


input: Arrange the numbers -35, 54, -73 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-35, 54, -73]

Pass 1:
  Compare -35 and 54
  No swap needed
  Compare 54 and -73
  Swap 54 and -73
  List after swap: [-35, -73, 54]

Pass 2:
  Compare -35 and -73
  Swap -35 and -73
  List after swap: [-73, -35, 54]

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

Final sorted list: [-73, -35, 54]
</think>

<response>-73, -35, 54</response>


input: Carry out the bubble sort algorithm on 16, -93, -79 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [16, -93, -79]

Pass 1:
  Compare 16 and -93
  Swap 16 and -93
  List after swap: [-93, 16, -79]
  Compare 16 and -79
  Swap 16 and -79
  List after swap: [-93, -79, 16]

Pass 2:
  Compare -93 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -79, 16]
</think>

<response>-93, -79, 16</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 89, 42, -69, -90, 68, -84, 50.

output:
<think>
Initial list: [89, 42, -69, -90, 68, -84, 50]

Pass 1:
  Compare 89 and 42
  Swap 89 and 42
  List after swap: [42, 89, -69, -90, 68, -84, 50]
  Compare 89 and -69
  Swap 89 and -69
  List after swap: [42, -69, 89, -90, 68, -84, 50]
  Compare 89 and -90
  Swap 89 and -90
  List after swap: [42, -69, -90, 89, 68, -84, 50]
  Compare 89 and 68
  Swap 89 and 68
  List after swap: [42, -69, -90, 68, 89, -84, 50]
  Compare 89 and -84
  Swap 89 and -84
  List after swap: [42, -69, -90, 68, -84, 89, 50]
  Compare 89 and 50
  Swap 89 and 50
  List after swap: [42, -69, -90, 68, -84, 50, 89]

Pass 2:
  Compare 42 and -69
  Swap 42 and -69
  List after swap: [-69, 42, -90, 68, -84, 50, 89]
  Compare 42 and -90
  Swap 42 and -90
  List after swap: [-69, -90, 42, 68, -84, 50, 89]
  Compare 42 and 68
  No swap needed
  Compare 68 and -84
  Swap 68 and -84
  List after swap: [-69, -90, 42, -84, 68, 50, 89]
  Compare 68 and 50
  Swap 68 and 50
  List after swap: [-69, -90, 42, -84, 50, 68, 89]

Pass 3:
  Compare -69 and -90
  Swap -69 and -90
  List after swap: [-90, -69, 42, -84, 50, 68, 89]
  Compare -69 and 42
  No swap needed
  Compare 42 and -84
  Swap 42 and -84
  List after swap: [-90, -69, -84, 42, 50, 68, 89]
  Compare 42 and 50
  No swap needed

Pass 4:
  Compare -90 and -69
  No swap needed
  Compare -69 and -84
  Swap -69 and -84
  List after swap: [-90, -84, -69, 42, 50, 68, 89]
  Compare -69 and 42
  No swap needed

Pass 5:
  Compare -90 and -84
  No swap needed
  Compare -84 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -84, -69, 42, 50, 68, 89]
</think>

<response>-90, -84, -69, 42, 50, 68, 89</response>


input: Demonstrate how bubble sort orders the integers 60, -95, -85, -56, 29 in ascending sequence, showing all steps.

output:
<think>
Initial list: [60, -95, -85, -56, 29]

Pass 1:
  Compare 60 and -95
  Swap 60 and -95
  List after swap: [-95, 60, -85, -56, 29]
  Compare 60 and -85
  Swap 60 and -85
  List after swap: [-95, -85, 60, -56, 29]
  Compare 60 and -56
  Swap 60 and -56
  List after swap: [-95, -85, -56, 60, 29]
  Compare 60 and 29
  Swap 60 and 29
  List after swap: [-95, -85, -56, 29, 60]

Pass 2:
  Compare -95 and -85
  No swap needed
  Compare -85 and -56
  No swap needed
  Compare -56 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -85, -56, 29, 60]
</think>

<response>-95, -85, -56, 29, 60</response>


input: Use the bubble sort technique to reorder -38, 30, 6 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-38, 30, 6]

Pass 1:
  Compare -38 and 30
  No swap needed
  Compare 30 and 6
  Swap 30 and 6
  List after swap: [-38, 6, 30]

Pass 2:
  Compare -38 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, 6, 30]
</think>

<response>-38, 6, 30</response>


input: Implement bubble sort on 57, -76, 54, 47, -34, -48, 23, 33, -91 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [57, -76, 54, 47, -34, -48, 23, 33, -91]

Pass 1:
  Compare 57 and -76
  Swap 57 and -76
  List after swap: [-76, 57, 54, 47, -34, -48, 23, 33, -91]
  Compare 57 and 54
  Swap 57 and 54
  List after swap: [-76, 54, 57, 47, -34, -48, 23, 33, -91]
  Compare 57 and 47
  Swap 57 and 47
  List after swap: [-76, 54, 47, 57, -34, -48, 23, 33, -91]
  Compare 57 and -34
  Swap 57 and -34
  List after swap: [-76, 54, 47, -34, 57, -48, 23, 33, -91]
  Compare 57 and -48
  Swap 57 and -48
  List after swap: [-76, 54, 47, -34, -48, 57, 23, 33, -91]
  Compare 57 and 23
  Swap 57 and 23
  List after swap: [-76, 54, 47, -34, -48, 23, 57, 33, -91]
  Compare 57 and 33
  Swap 57 and 33
  List after swap: [-76, 54, 47, -34, -48, 23, 33, 57, -91]
  Compare 57 and -91
  Swap 57 and -91
  List after swap: [-76, 54, 47, -34, -48, 23, 33, -91, 57]

Pass 2:
  Compare -76 and 54
  No swap needed
  Compare 54 and 47
  Swap 54 and 47
  List after swap: [-76, 47, 54, -34, -48, 23, 33, -91, 57]
  Compare 54 and -34
  Swap 54 and -34
  List after swap: [-76, 47, -34, 54, -48, 23, 33, -91, 57]
  Compare 54 and -48
  Swap 54 and -48
  List after swap: [-76, 47, -34, -48, 54, 23, 33, -91, 57]
  Compare 54 and 23
  Swap 54 and 23
  List after swap: [-76, 47, -34, -48, 23, 54, 33, -91, 57]
  Compare 54 and 33
  Swap 54 and 33
  List after swap: [-76, 47, -34, -48, 23, 33, 54, -91, 57]
  Compare 54 and -91
  Swap 54 and -91
  List after swap: [-76, 47, -34, -48, 23, 33, -91, 54, 57]

Pass 3:
  Compare -76 and 47
  No swap needed
  Compare 47 and -34
  Swap 47 and -34
  List after swap: [-76, -34, 47, -48, 23, 33, -91, 54, 57]
  Compare 47 and -48
  Swap 47 and -48
  List after swap: [-76, -34, -48, 47, 23, 33, -91, 54, 57]
  Compare 47 and 23
  Swap 47 and 23
  List after swap: [-76, -34, -48, 23, 47, 33, -91, 54, 57]
  Compare 47 and 33
  Swap 47 and 33
  List after swap: [-76, -34, -48, 23, 33, 47, -91, 54, 57]
  Compare 47 and -91
  Swap 47 and -91
  List after swap: [-76, -34, -48, 23, 33, -91, 47, 54, 57]

Pass 4:
  Compare -76 and -34
  No swap needed
  Compare -34 and -48
  Swap -34 and -48
  List after swap: [-76, -48, -34, 23, 33, -91, 47, 54, 57]
  Compare -34 and 23
  No swap needed
  Compare 23 and 33
  No swap needed
  Compare 33 and -91
  Swap 33 and -91
  List after swap: [-76, -48, -34, 23, -91, 33, 47, 54, 57]

Pass 5:
  Compare -76 and -48
  No swap needed
  Compare -48 and -34
  No swap needed
  Compare -34 and 23
  No swap needed
  Compare 23 and -91
  Swap 23 and -91
  List after swap: [-76, -48, -34, -91, 23, 33, 47, 54, 57]

Pass 6:
  Compare -76 and -48
  No swap needed
  Compare -48 and -34
  No swap needed
  Compare -34 and -91
  Swap -34 and -91
  List after swap: [-76, -48, -91, -34, 23, 33, 47, 54, 57]

Pass 7:
  Compare -76 and -48
  No swap needed
  Compare -48 and -91
  Swap -48 and -91
  List after swap: [-76, -91, -48, -34, 23, 33, 47, 54, 57]

Pass 8:
  Compare -76 and -91
  Swap -76 and -91
  List after swap: [-91, -76, -48, -34, 23, 33, 47, 54, 57]

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

Final sorted list: [-91, -76, -48, -34, 23, 33, 47, 54, 57]
</think>

<response>-91, -76, -48, -34, 23, 33, 47, 54, 57</response>


input: Sort these integers -97, -9, 77, 44, -7, 66 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-97, -9, 77, 44, -7, 66]

Pass 1:
  Compare -97 and -9
  No swap needed
  Compare -9 and 77
  No swap needed
  Compare 77 and 44
  Swap 77 and 44
  List after swap: [-97, -9, 44, 77, -7, 66]
  Compare 77 and -7
  Swap 77 and -7
  List after swap: [-97, -9, 44, -7, 77, 66]
  Compare 77 and 66
  Swap 77 and 66
  List after swap: [-97, -9, 44, -7, 66, 77]

Pass 2:
  Compare -97 and -9
  No swap needed
  Compare -9 and 44
  No swap needed
  Compare 44 and -7
  Swap 44 and -7
  List after swap: [-97, -9, -7, 44, 66, 77]
  Compare 44 and 66
  No swap needed

Pass 3:
  Compare -97 and -9
  No swap needed
  Compare -9 and -7
  No swap needed
  Compare -7 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -9, -7, 44, 66, 77]
</think>

<response>-97, -9, -7, 44, 66, 77</response>


input: Carry out the bubble sort algorithm on -79, -29, -15, -67, 79, 88, 38, -52, 36, -83 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-79, -29, -15, -67, 79, 88, 38, -52, 36, -83]

Pass 1:
  Compare -79 and -29
  No swap needed
  Compare -29 and -15
  No swap needed
  Compare -15 and -67
  Swap -15 and -67
  List after swap: [-79, -29, -67, -15, 79, 88, 38, -52, 36, -83]
  Compare -15 and 79
  No swap needed
  Compare 79 and 88
  No swap needed
  Compare 88 and 38
  Swap 88 and 38
  List after swap: [-79, -29, -67, -15, 79, 38, 88, -52, 36, -83]
  Compare 88 and -52
  Swap 88 and -52
  List after swap: [-79, -29, -67, -15, 79, 38, -52, 88, 36, -83]
  Compare 88 and 36
  Swap 88 and 36
  List after swap: [-79, -29, -67, -15, 79, 38, -52, 36, 88, -83]
  Compare 88 and -83
  Swap 88 and -83
  List after swap: [-79, -29, -67, -15, 79, 38, -52, 36, -83, 88]

Pass 2:
  Compare -79 and -29
  No swap needed
  Compare -29 and -67
  Swap -29 and -67
  List after swap: [-79, -67, -29, -15, 79, 38, -52, 36, -83, 88]
  Compare -29 and -15
  No swap needed
  Compare -15 and 79
  No swap needed
  Compare 79 and 38
  Swap 79 and 38
  List after swap: [-79, -67, -29, -15, 38, 79, -52, 36, -83, 88]
  Compare 79 and -52
  Swap 79 and -52
  List after swap: [-79, -67, -29, -15, 38, -52, 79, 36, -83, 88]
  Compare 79 and 36
  Swap 79 and 36
  List after swap: [-79, -67, -29, -15, 38, -52, 36, 79, -83, 88]
  Compare 79 and -83
  Swap 79 and -83
  List after swap: [-79, -67, -29, -15, 38, -52, 36, -83, 79, 88]

Pass 3:
  Compare -79 and -67
  No swap needed
  Compare -67 and -29
  No swap needed
  Compare -29 and -15
  No swap needed
  Compare -15 and 38
  No swap needed
  Compare 38 and -52
  Swap 38 and -52
  List after swap: [-79, -67, -29, -15, -52, 38, 36, -83, 79, 88]
  Compare 38 and 36
  Swap 38 and 36
  List after swap: [-79, -67, -29, -15, -52, 36, 38, -83, 79, 88]
  Compare 38 and -83
  Swap 38 and -83
  List after swap: [-79, -67, -29, -15, -52, 36, -83, 38, 79, 88]

Pass 4:
  Compare -79 and -67
  No swap needed
  Compare -67 and -29
  No swap needed
  Compare -29 and -15
  No swap needed
  Compare -15 and -52
  Swap -15 and -52
  List after swap: [-79, -67, -29, -52, -15, 36, -83, 38, 79, 88]
  Compare -15 and 36
  No swap needed
  Compare 36 and -83
  Swap 36 and -83
  List after swap: [-79, -67, -29, -52, -15, -83, 36, 38, 79, 88]

Pass 5:
  Compare -79 and -67
  No swap needed
  Compare -67 and -29
  No swap needed
  Compare -29 and -52
  Swap -29 and -52
  List after swap: [-79, -67, -52, -29, -15, -83, 36, 38, 79, 88]
  Compare -29 and -15
  No swap needed
  Compare -15 and -83
  Swap -15 and -83
  List after swap: [-79, -67, -52, -29, -83, -15, 36, 38, 79, 88]

Pass 6:
  Compare -79 and -67
  No swap needed
  Compare -67 and -52
  No swap needed
  Compare -52 and -29
  No swap needed
  Compare -29 and -83
  Swap -29 and -83
  List after swap: [-79, -67, -52, -83, -29, -15, 36, 38, 79, 88]

Pass 7:
  Compare -79 and -67
  No swap needed
  Compare -67 and -52
  No swap needed
  Compare -52 and -83
  Swap -52 and -83
  List after swap: [-79, -67, -83, -52, -29, -15, 36, 38, 79, 88]

Pass 8:
  Compare -79 and -67
  No swap needed
  Compare -67 and -83
  Swap -67 and -83
  List after swap: [-79, -83, -67, -52, -29, -15, 36, 38, 79, 88]

Pass 9:
  Compare -79 and -83
  Swap -79 and -83
  List after swap: [-83, -79, -67, -52, -29, -15, 36, 38, 79, 88]

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

Final sorted list: [-83, -79, -67, -52, -29, -15, 36, 38, 79, 88]
</think>

<response>-83, -79, -67, -52, -29, -15, 36, 38, 79, 88</response>


input: Execute bubble sort to sort 64, -84, -3, -36, 34 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [64, -84, -3, -36, 34]

Pass 1:
  Compare 64 and -84
  Swap 64 and -84
  List after swap: [-84, 64, -3, -36, 34]
  Compare 64 and -3
  Swap 64 and -3
  List after swap: [-84, -3, 64, -36, 34]
  Compare 64 and -36
  Swap 64 and -36
  List after swap: [-84, -3, -36, 64, 34]
  Compare 64 and 34
  Swap 64 and 34
  List after swap: [-84, -3, -36, 34, 64]

Pass 2:
  Compare -84 and -3
  No swap needed
  Compare -3 and -36
  Swap -3 and -36
  List after swap: [-84, -36, -3, 34, 64]
  Compare -3 and 34
  No swap needed

Pass 3:
  Compare -84 and -36
  No swap needed
  Compare -36 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -36, -3, 34, 64]
</think>

<response>-84, -36, -3, 34, 64</response>


input: Implement bubble sort on -86, -52, -96, 0, -77, 41, -71, 39, 22 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-86, -52, -96, 0, -77, 41, -71, 39, 22]

Pass 1:
  Compare -86 and -52
  No swap needed
  Compare -52 and -96
  Swap -52 and -96
  List after swap: [-86, -96, -52, 0, -77, 41, -71, 39, 22]
  Compare -52 and 0
  No swap needed
  Compare 0 and -77
  Swap 0 and -77
  List after swap: [-86, -96, -52, -77, 0, 41, -71, 39, 22]
  Compare 0 and 41
  No swap needed
  Compare 41 and -71
  Swap 41 and -71
  List after swap: [-86, -96, -52, -77, 0, -71, 41, 39, 22]
  Compare 41 and 39
  Swap 41 and 39
  List after swap: [-86, -96, -52, -77, 0, -71, 39, 41, 22]
  Compare 41 and 22
  Swap 41 and 22
  List after swap: [-86, -96, -52, -77, 0, -71, 39, 22, 41]

Pass 2:
  Compare -86 and -96
  Swap -86 and -96
  List after swap: [-96, -86, -52, -77, 0, -71, 39, 22, 41]
  Compare -86 and -52
  No swap needed
  Compare -52 and -77
  Swap -52 and -77
  List after swap: [-96, -86, -77, -52, 0, -71, 39, 22, 41]
  Compare -52 and 0
  No swap needed
  Compare 0 and -71
  Swap 0 and -71
  List after swap: [-96, -86, -77, -52, -71, 0, 39, 22, 41]
  Compare 0 and 39
  No swap needed
  Compare 39 and 22
  Swap 39 and 22
  List after swap: [-96, -86, -77, -52, -71, 0, 22, 39, 41]

Pass 3:
  Compare -96 and -86
  No swap needed
  Compare -86 and -77
  No swap needed
  Compare -77 and -52
  No swap needed
  Compare -52 and -71
  Swap -52 and -71
  List after swap: [-96, -86, -77, -71, -52, 0, 22, 39, 41]
  Compare -52 and 0
  No swap needed
  Compare 0 and 22
  No swap needed

Pass 4:
  Compare -96 and -86
  No swap needed
  Compare -86 and -77
  No swap needed
  Compare -77 and -71
  No swap needed
  Compare -71 and -52
  No swap needed
  Compare -52 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -86, -77, -71, -52, 0, 22, 39, 41]
</think>

<response>-96, -86, -77, -71, -52, 0, 22, 39, 41</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -90, 90, -26, -47.

output:
<think>
Initial list: [-90, 90, -26, -47]

Pass 1:
  Compare -90 and 90
  No swap needed
  Compare 90 and -26
  Swap 90 and -26
  List after swap: [-90, -26, 90, -47]
  Compare 90 and -47
  Swap 90 and -47
  List after swap: [-90, -26, -47, 90]

Pass 2:
  Compare -90 and -26
  No swap needed
  Compare -26 and -47
  Swap -26 and -47
  List after swap: [-90, -47, -26, 90]

Pass 3:
  Compare -90 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -47, -26, 90]
</think>

<response>-90, -47, -26, 90</response>


input: Demonstrate how bubble sort orders the integers -73, 91, 30, -93, 65, 61, 80 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-73, 91, 30, -93, 65, 61, 80]

Pass 1:
  Compare -73 and 91
  No swap needed
  Compare 91 and 30
  Swap 91 and 30
  List after swap: [-73, 30, 91, -93, 65, 61, 80]
  Compare 91 and -93
  Swap 91 and -93
  List after swap: [-73, 30, -93, 91, 65, 61, 80]
  Compare 91 and 65
  Swap 91 and 65
  List after swap: [-73, 30, -93, 65, 91, 61, 80]
  Compare 91 and 61
  Swap 91 and 61
  List after swap: [-73, 30, -93, 65, 61, 91, 80]
  Compare 91 and 80
  Swap 91 and 80
  List after swap: [-73, 30, -93, 65, 61, 80, 91]

Pass 2:
  Compare -73 and 30
  No swap needed
  Compare 30 and -93
  Swap 30 and -93
  List after swap: [-73, -93, 30, 65, 61, 80, 91]
  Compare 30 and 65
  No swap needed
  Compare 65 and 61
  Swap 65 and 61
  List after swap: [-73, -93, 30, 61, 65, 80, 91]
  Compare 65 and 80
  No swap needed

Pass 3:
  Compare -73 and -93
  Swap -73 and -93
  List after swap: [-93, -73, 30, 61, 65, 80, 91]
  Compare -73 and 30
  No swap needed
  Compare 30 and 61
  No swap needed
  Compare 61 and 65
  No swap needed

Pass 4:
  Compare -93 and -73
  No swap needed
  Compare -73 and 30
  No swap needed
  Compare 30 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -73, 30, 61, 65, 80, 91]
</think>

<response>-93, -73, 30, 61, 65, 80, 91</response>


input: Demonstrate how bubble sort orders the integers 35, -2, -91 in ascending sequence, showing all steps.

output:
<think>
Initial list: [35, -2, -91]

Pass 1:
  Compare 35 and -2
  Swap 35 and -2
  List after swap: [-2, 35, -91]
  Compare 35 and -91
  Swap 35 and -91
  List after swap: [-2, -91, 35]

Pass 2:
  Compare -2 and -91
  Swap -2 and -91
  List after swap: [-91, -2, 35]

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

Final sorted list: [-91, -2, 35]
</think>

<response>-91, -2, 35</response>


input: Using the bubble sort method, sort 70, 92, 78 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [70, 92, 78]

Pass 1:
  Compare 70 and 92
  No swap needed
  Compare 92 and 78
  Swap 92 and 78
  List after swap: [70, 78, 92]

Pass 2:
  Compare 70 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [70, 78, 92]
</think>

<response>70, 78, 92</response>


input: Sort these integers 11, -74, -76, 55 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [11, -74, -76, 55]

Pass 1:
  Compare 11 and -74
  Swap 11 and -74
  List after swap: [-74, 11, -76, 55]
  Compare 11 and -76
  Swap 11 and -76
  List after swap: [-74, -76, 11, 55]
  Compare 11 and 55
  No swap needed

Pass 2:
  Compare -74 and -76
  Swap -74 and -76
  List after swap: [-76, -74, 11, 55]
  Compare -74 and 11
  No swap needed

Pass 3:
  Compare -76 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -74, 11, 55]
</think>

<response>-76, -74, 11, 55</response>


input: Carry out the bubble sort algorithm on -17, -73, 8, -3, -49 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-17, -73, 8, -3, -49]

Pass 1:
  Compare -17 and -73
  Swap -17 and -73
  List after swap: [-73, -17, 8, -3, -49]
  Compare -17 and 8
  No swap needed
  Compare 8 and -3
  Swap 8 and -3
  List after swap: [-73, -17, -3, 8, -49]
  Compare 8 and -49
  Swap 8 and -49
  List after swap: [-73, -17, -3, -49, 8]

Pass 2:
  Compare -73 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and -49
  Swap -3 and -49
  List after swap: [-73, -17, -49, -3, 8]

Pass 3:
  Compare -73 and -17
  No swap needed
  Compare -17 and -49
  Swap -17 and -49
  List after swap: [-73, -49, -17, -3, 8]

Pass 4:
  Compare -73 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -49, -17, -3, 8]
</think>

<response>-73, -49, -17, -3, 8</response>


input: Demonstrate how bubble sort orders the integers -98, 2, -21, 26, 34, -63, 53, 56, 82 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-98, 2, -21, 26, 34, -63, 53, 56, 82]

Pass 1:
  Compare -98 and 2
  No swap needed
  Compare 2 and -21
  Swap 2 and -21
  List after swap: [-98, -21, 2, 26, 34, -63, 53, 56, 82]
  Compare 2 and 26
  No swap needed
  Compare 26 and 34
  No swap needed
  Compare 34 and -63
  Swap 34 and -63
  List after swap: [-98, -21, 2, 26, -63, 34, 53, 56, 82]
  Compare 34 and 53
  No swap needed
  Compare 53 and 56
  No swap needed
  Compare 56 and 82
  No swap needed

Pass 2:
  Compare -98 and -21
  No swap needed
  Compare -21 and 2
  No swap needed
  Compare 2 and 26
  No swap needed
  Compare 26 and -63
  Swap 26 and -63
  List after swap: [-98, -21, 2, -63, 26, 34, 53, 56, 82]
  Compare 26 and 34
  No swap needed
  Compare 34 and 53
  No swap needed
  Compare 53 and 56
  No swap needed

Pass 3:
  Compare -98 and -21
  No swap needed
  Compare -21 and 2
  No swap needed
  Compare 2 and -63
  Swap 2 and -63
  List after swap: [-98, -21, -63, 2, 26, 34, 53, 56, 82]
  Compare 2 and 26
  No swap needed
  Compare 26 and 34
  No swap needed
  Compare 34 and 53
  No swap needed

Pass 4:
  Compare -98 and -21
  No swap needed
  Compare -21 and -63
  Swap -21 and -63
  List after swap: [-98, -63, -21, 2, 26, 34, 53, 56, 82]
  Compare -21 and 2
  No swap needed
  Compare 2 and 26
  No swap needed
  Compare 26 and 34
  No swap needed

Pass 5:
  Compare -98 and -63
  No swap needed
  Compare -63 and -21
  No swap needed
  Compare -21 and 2
  No swap needed
  Compare 2 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -63, -21, 2, 26, 34, 53, 56, 82]
</think>

<response>-98, -63, -21, 2, 26, 34, 53, 56, 82</response>


input: Arrange the numbers 14, 50, -12, 35, -29, -95, -75 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [14, 50, -12, 35, -29, -95, -75]

Pass 1:
  Compare 14 and 50
  No swap needed
  Compare 50 and -12
  Swap 50 and -12
  List after swap: [14, -12, 50, 35, -29, -95, -75]
  Compare 50 and 35
  Swap 50 and 35
  List after swap: [14, -12, 35, 50, -29, -95, -75]
  Compare 50 and -29
  Swap 50 and -29
  List after swap: [14, -12, 35, -29, 50, -95, -75]
  Compare 50 and -95
  Swap 50 and -95
  List after swap: [14, -12, 35, -29, -95, 50, -75]
  Compare 50 and -75
  Swap 50 and -75
  List after swap: [14, -12, 35, -29, -95, -75, 50]

Pass 2:
  Compare 14 and -12
  Swap 14 and -12
  List after swap: [-12, 14, 35, -29, -95, -75, 50]
  Compare 14 and 35
  No swap needed
  Compare 35 and -29
  Swap 35 and -29
  List after swap: [-12, 14, -29, 35, -95, -75, 50]
  Compare 35 and -95
  Swap 35 and -95
  List after swap: [-12, 14, -29, -95, 35, -75, 50]
  Compare 35 and -75
  Swap 35 and -75
  List after swap: [-12, 14, -29, -95, -75, 35, 50]

Pass 3:
  Compare -12 and 14
  No swap needed
  Compare 14 and -29
  Swap 14 and -29
  List after swap: [-12, -29, 14, -95, -75, 35, 50]
  Compare 14 and -95
  Swap 14 and -95
  List after swap: [-12, -29, -95, 14, -75, 35, 50]
  Compare 14 and -75
  Swap 14 and -75
  List after swap: [-12, -29, -95, -75, 14, 35, 50]

Pass 4:
  Compare -12 and -29
  Swap -12 and -29
  List after swap: [-29, -12, -95, -75, 14, 35, 50]
  Compare -12 and -95
  Swap -12 and -95
  List after swap: [-29, -95, -12, -75, 14, 35, 50]
  Compare -12 and -75
  Swap -12 and -75
  List after swap: [-29, -95, -75, -12, 14, 35, 50]

Pass 5:
  Compare -29 and -95
  Swap -29 and -95
  List after swap: [-95, -29, -75, -12, 14, 35, 50]
  Compare -29 and -75
  Swap -29 and -75
  List after swap: [-95, -75, -29, -12, 14, 35, 50]

Pass 6:
  Compare -95 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -75, -29, -12, 14, 35, 50]
</think>

<response>-95, -75, -29, -12, 14, 35, 50</response>


input: Implement bubble sort on 52, 59, -43 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [52, 59, -43]

Pass 1:
  Compare 52 and 59
  No swap needed
  Compare 59 and -43
  Swap 59 and -43
  List after swap: [52, -43, 59]

Pass 2:
  Compare 52 and -43
  Swap 52 and -43
  List after swap: [-43, 52, 59]

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

Final sorted list: [-43, 52, 59]
</think>

<response>-43, 52, 59</response>


input: Arrange the numbers 28, -13, -95, 40 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [28, -13, -95, 40]

Pass 1:
  Compare 28 and -13
  Swap 28 and -13
  List after swap: [-13, 28, -95, 40]
  Compare 28 and -95
  Swap 28 and -95
  List after swap: [-13, -95, 28, 40]
  Compare 28 and 40
  No swap needed

Pass 2:
  Compare -13 and -95
  Swap -13 and -95
  List after swap: [-95, -13, 28, 40]
  Compare -13 and 28
  No swap needed

Pass 3:
  Compare -95 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -13, 28, 40]
</think>

<response>-95, -13, 28, 40</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -54, 7, -41, 6, 83, -87, 74, -38, 88, 79.

output:
<think>
Initial list: [-54, 7, -41, 6, 83, -87, 74, -38, 88, 79]

Pass 1:
  Compare -54 and 7
  No swap needed
  Compare 7 and -41
  Swap 7 and -41
  List after swap: [-54, -41, 7, 6, 83, -87, 74, -38, 88, 79]
  Compare 7 and 6
  Swap 7 and 6
  List after swap: [-54, -41, 6, 7, 83, -87, 74, -38, 88, 79]
  Compare 7 and 83
  No swap needed
  Compare 83 and -87
  Swap 83 and -87
  List after swap: [-54, -41, 6, 7, -87, 83, 74, -38, 88, 79]
  Compare 83 and 74
  Swap 83 and 74
  List after swap: [-54, -41, 6, 7, -87, 74, 83, -38, 88, 79]
  Compare 83 and -38
  Swap 83 and -38
  List after swap: [-54, -41, 6, 7, -87, 74, -38, 83, 88, 79]
  Compare 83 and 88
  No swap needed
  Compare 88 and 79
  Swap 88 and 79
  List after swap: [-54, -41, 6, 7, -87, 74, -38, 83, 79, 88]

Pass 2:
  Compare -54 and -41
  No swap needed
  Compare -41 and 6
  No swap needed
  Compare 6 and 7
  No swap needed
  Compare 7 and -87
  Swap 7 and -87
  List after swap: [-54, -41, 6, -87, 7, 74, -38, 83, 79, 88]
  Compare 7 and 74
  No swap needed
  Compare 74 and -38
  Swap 74 and -38
  List after swap: [-54, -41, 6, -87, 7, -38, 74, 83, 79, 88]
  Compare 74 and 83
  No swap needed
  Compare 83 and 79
  Swap 83 and 79
  List after swap: [-54, -41, 6, -87, 7, -38, 74, 79, 83, 88]

Pass 3:
  Compare -54 and -41
  No swap needed
  Compare -41 and 6
  No swap needed
  Compare 6 and -87
  Swap 6 and -87
  List after swap: [-54, -41, -87, 6, 7, -38, 74, 79, 83, 88]
  Compare 6 and 7
  No swap needed
  Compare 7 and -38
  Swap 7 and -38
  List after swap: [-54, -41, -87, 6, -38, 7, 74, 79, 83, 88]
  Compare 7 and 74
  No swap needed
  Compare 74 and 79
  No swap needed

Pass 4:
  Compare -54 and -41
  No swap needed
  Compare -41 and -87
  Swap -41 and -87
  List after swap: [-54, -87, -41, 6, -38, 7, 74, 79, 83, 88]
  Compare -41 and 6
  No swap needed
  Compare 6 and -38
  Swap 6 and -38
  List after swap: [-54, -87, -41, -38, 6, 7, 74, 79, 83, 88]
  Compare 6 and 7
  No swap needed
  Compare 7 and 74
  No swap needed

Pass 5:
  Compare -54 and -87
  Swap -54 and -87
  List after swap: [-87, -54, -41, -38, 6, 7, 74, 79, 83, 88]
  Compare -54 and -41
  No swap needed
  Compare -41 and -38
  No swap needed
  Compare -38 and 6
  No swap needed
  Compare 6 and 7
  No swap needed

Pass 6:
  Compare -87 and -54
  No swap needed
  Compare -54 and -41
  No swap needed
  Compare -41 and -38
  No swap needed
  Compare -38 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -54, -41, -38, 6, 7, 74, 79, 83, 88]
</think>

<response>-87, -54, -41, -38, 6, 7, 74, 79, 83, 88</response>


input: Perform a bubble sort on the integers -70, -21, 89, 72, -57, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-70, -21, 89, 72, -57]

Pass 1:
  Compare -70 and -21
  No swap needed
  Compare -21 and 89
  No swap needed
  Compare 89 and 72
  Swap 89 and 72
  List after swap: [-70, -21, 72, 89, -57]
  Compare 89 and -57
  Swap 89 and -57
  List after swap: [-70, -21, 72, -57, 89]

Pass 2:
  Compare -70 and -21
  No swap needed
  Compare -21 and 72
  No swap needed
  Compare 72 and -57
  Swap 72 and -57
  List after swap: [-70, -21, -57, 72, 89]

Pass 3:
  Compare -70 and -21
  No swap needed
  Compare -21 and -57
  Swap -21 and -57
  List after swap: [-70, -57, -21, 72, 89]

Pass 4:
  Compare -70 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -57, -21, 72, 89]
</think>

<response>-70, -57, -21, 72, 89</response>


input: Sort these integers -33, 38, -79 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-33, 38, -79]

Pass 1:
  Compare -33 and 38
  No swap needed
  Compare 38 and -79
  Swap 38 and -79
  List after swap: [-33, -79, 38]

Pass 2:
  Compare -33 and -79
  Swap -33 and -79
  List after swap: [-79, -33, 38]

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

Final sorted list: [-79, -33, 38]
</think>

<response>-79, -33, 38</response>


input: Demonstrate how bubble sort orders the integers -14, 23, 4, -43, 60, -78 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-14, 23, 4, -43, 60, -78]

Pass 1:
  Compare -14 and 23
  No swap needed
  Compare 23 and 4
  Swap 23 and 4
  List after swap: [-14, 4, 23, -43, 60, -78]
  Compare 23 and -43
  Swap 23 and -43
  List after swap: [-14, 4, -43, 23, 60, -78]
  Compare 23 and 60
  No swap needed
  Compare 60 and -78
  Swap 60 and -78
  List after swap: [-14, 4, -43, 23, -78, 60]

Pass 2:
  Compare -14 and 4
  No swap needed
  Compare 4 and -43
  Swap 4 and -43
  List after swap: [-14, -43, 4, 23, -78, 60]
  Compare 4 and 23
  No swap needed
  Compare 23 and -78
  Swap 23 and -78
  List after swap: [-14, -43, 4, -78, 23, 60]

Pass 3:
  Compare -14 and -43
  Swap -14 and -43
  List after swap: [-43, -14, 4, -78, 23, 60]
  Compare -14 and 4
  No swap needed
  Compare 4 and -78
  Swap 4 and -78
  List after swap: [-43, -14, -78, 4, 23, 60]

Pass 4:
  Compare -43 and -14
  No swap needed
  Compare -14 and -78
  Swap -14 and -78
  List after swap: [-43, -78, -14, 4, 23, 60]

Pass 5:
  Compare -43 and -78
  Swap -43 and -78
  List after swap: [-78, -43, -14, 4, 23, 60]

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

Final sorted list: [-78, -43, -14, 4, 23, 60]
</think>

<response>-78, -43, -14, 4, 23, 60</response>


input: Execute bubble sort to sort -90, 95, -2, -10, 36, -19 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-90, 95, -2, -10, 36, -19]

Pass 1:
  Compare -90 and 95
  No swap needed
  Compare 95 and -2
  Swap 95 and -2
  List after swap: [-90, -2, 95, -10, 36, -19]
  Compare 95 and -10
  Swap 95 and -10
  List after swap: [-90, -2, -10, 95, 36, -19]
  Compare 95 and 36
  Swap 95 and 36
  List after swap: [-90, -2, -10, 36, 95, -19]
  Compare 95 and -19
  Swap 95 and -19
  List after swap: [-90, -2, -10, 36, -19, 95]

Pass 2:
  Compare -90 and -2
  No swap needed
  Compare -2 and -10
  Swap -2 and -10
  List after swap: [-90, -10, -2, 36, -19, 95]
  Compare -2 and 36
  No swap needed
  Compare 36 and -19
  Swap 36 and -19
  List after swap: [-90, -10, -2, -19, 36, 95]

Pass 3:
  Compare -90 and -10
  No swap needed
  Compare -10 and -2
  No swap needed
  Compare -2 and -19
  Swap -2 and -19
  List after swap: [-90, -10, -19, -2, 36, 95]

Pass 4:
  Compare -90 and -10
  No swap needed
  Compare -10 and -19
  Swap -10 and -19
  List after swap: [-90, -19, -10, -2, 36, 95]

Pass 5:
  Compare -90 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -19, -10, -2, 36, 95]
</think>

<response>-90, -19, -10, -2, 36, 95</response>


input: Sort the list -76, 90, 91, 20 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-76, 90, 91, 20]

Pass 1:
  Compare -76 and 90
  No swap needed
  Compare 90 and 91
  No swap needed
  Compare 91 and 20
  Swap 91 and 20
  List after swap: [-76, 90, 20, 91]

Pass 2:
  Compare -76 and 90
  No swap needed
  Compare 90 and 20
  Swap 90 and 20
  List after swap: [-76, 20, 90, 91]

Pass 3:
  Compare -76 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, 20, 90, 91]
</think>

<response>-76, 20, 90, 91</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -1, 35, 57, -42, -37, 59.

output:
<think>
Initial list: [-1, 35, 57, -42, -37, 59]

Pass 1:
  Compare -1 and 35
  No swap needed
  Compare 35 and 57
  No swap needed
  Compare 57 and -42
  Swap 57 and -42
  List after swap: [-1, 35, -42, 57, -37, 59]
  Compare 57 and -37
  Swap 57 and -37
  List after swap: [-1, 35, -42, -37, 57, 59]
  Compare 57 and 59
  No swap needed

Pass 2:
  Compare -1 and 35
  No swap needed
  Compare 35 and -42
  Swap 35 and -42
  List after swap: [-1, -42, 35, -37, 57, 59]
  Compare 35 and -37
  Swap 35 and -37
  List after swap: [-1, -42, -37, 35, 57, 59]
  Compare 35 and 57
  No swap needed

Pass 3:
  Compare -1 and -42
  Swap -1 and -42
  List after swap: [-42, -1, -37, 35, 57, 59]
  Compare -1 and -37
  Swap -1 and -37
  List after swap: [-42, -37, -1, 35, 57, 59]
  Compare -1 and 35
  No swap needed

Pass 4:
  Compare -42 and -37
  No swap needed
  Compare -37 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -37, -1, 35, 57, 59]
</think>

<response>-42, -37, -1, 35, 57, 59</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 88, -3, -24, -76, -97, 44, -95.

output:
<think>
Initial list: [88, -3, -24, -76, -97, 44, -95]

Pass 1:
  Compare 88 and -3
  Swap 88 and -3
  List after swap: [-3, 88, -24, -76, -97, 44, -95]
  Compare 88 and -24
  Swap 88 and -24
  List after swap: [-3, -24, 88, -76, -97, 44, -95]
  Compare 88 and -76
  Swap 88 and -76
  List after swap: [-3, -24, -76, 88, -97, 44, -95]
  Compare 88 and -97
  Swap 88 and -97
  List after swap: [-3, -24, -76, -97, 88, 44, -95]
  Compare 88 and 44
  Swap 88 and 44
  List after swap: [-3, -24, -76, -97, 44, 88, -95]
  Compare 88 and -95
  Swap 88 and -95
  List after swap: [-3, -24, -76, -97, 44, -95, 88]

Pass 2:
  Compare -3 and -24
  Swap -3 and -24
  List after swap: [-24, -3, -76, -97, 44, -95, 88]
  Compare -3 and -76
  Swap -3 and -76
  List after swap: [-24, -76, -3, -97, 44, -95, 88]
  Compare -3 and -97
  Swap -3 and -97
  List after swap: [-24, -76, -97, -3, 44, -95, 88]
  Compare -3 and 44
  No swap needed
  Compare 44 and -95
  Swap 44 and -95
  List after swap: [-24, -76, -97, -3, -95, 44, 88]

Pass 3:
  Compare -24 and -76
  Swap -24 and -76
  List after swap: [-76, -24, -97, -3, -95, 44, 88]
  Compare -24 and -97
  Swap -24 and -97
  List after swap: [-76, -97, -24, -3, -95, 44, 88]
  Compare -24 and -3
  No swap needed
  Compare -3 and -95
  Swap -3 and -95
  List after swap: [-76, -97, -24, -95, -3, 44, 88]

Pass 4:
  Compare -76 and -97
  Swap -76 and -97
  List after swap: [-97, -76, -24, -95, -3, 44, 88]
  Compare -76 and -24
  No swap needed
  Compare -24 and -95
  Swap -24 and -95
  List after swap: [-97, -76, -95, -24, -3, 44, 88]

Pass 5:
  Compare -97 and -76
  No swap needed
  Compare -76 and -95
  Swap -76 and -95
  List after swap: [-97, -95, -76, -24, -3, 44, 88]

Pass 6:
  Compare -97 and -95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -95, -76, -24, -3, 44, 88]
</think>

<response>-97, -95, -76, -24, -3, 44, 88</response>


input: Carry out the bubble sort algorithm on -49, 77, -86, 57, 21, 45, -84, 95, -44 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-49, 77, -86, 57, 21, 45, -84, 95, -44]

Pass 1:
  Compare -49 and 77
  No swap needed
  Compare 77 and -86
  Swap 77 and -86
  List after swap: [-49, -86, 77, 57, 21, 45, -84, 95, -44]
  Compare 77 and 57
  Swap 77 and 57
  List after swap: [-49, -86, 57, 77, 21, 45, -84, 95, -44]
  Compare 77 and 21
  Swap 77 and 21
  List after swap: [-49, -86, 57, 21, 77, 45, -84, 95, -44]
  Compare 77 and 45
  Swap 77 and 45
  List after swap: [-49, -86, 57, 21, 45, 77, -84, 95, -44]
  Compare 77 and -84
  Swap 77 and -84
  List after swap: [-49, -86, 57, 21, 45, -84, 77, 95, -44]
  Compare 77 and 95
  No swap needed
  Compare 95 and -44
  Swap 95 and -44
  List after swap: [-49, -86, 57, 21, 45, -84, 77, -44, 95]

Pass 2:
  Compare -49 and -86
  Swap -49 and -86
  List after swap: [-86, -49, 57, 21, 45, -84, 77, -44, 95]
  Compare -49 and 57
  No swap needed
  Compare 57 and 21
  Swap 57 and 21
  List after swap: [-86, -49, 21, 57, 45, -84, 77, -44, 95]
  Compare 57 and 45
  Swap 57 and 45
  List after swap: [-86, -49, 21, 45, 57, -84, 77, -44, 95]
  Compare 57 and -84
  Swap 57 and -84
  List after swap: [-86, -49, 21, 45, -84, 57, 77, -44, 95]
  Compare 57 and 77
  No swap needed
  Compare 77 and -44
  Swap 77 and -44
  List after swap: [-86, -49, 21, 45, -84, 57, -44, 77, 95]

Pass 3:
  Compare -86 and -49
  No swap needed
  Compare -49 and 21
  No swap needed
  Compare 21 and 45
  No swap needed
  Compare 45 and -84
  Swap 45 and -84
  List after swap: [-86, -49, 21, -84, 45, 57, -44, 77, 95]
  Compare 45 and 57
  No swap needed
  Compare 57 and -44
  Swap 57 and -44
  List after swap: [-86, -49, 21, -84, 45, -44, 57, 77, 95]

Pass 4:
  Compare -86 and -49
  No swap needed
  Compare -49 and 21
  No swap needed
  Compare 21 and -84
  Swap 21 and -84
  List after swap: [-86, -49, -84, 21, 45, -44, 57, 77, 95]
  Compare 21 and 45
  No swap needed
  Compare 45 and -44
  Swap 45 and -44
  List after swap: [-86, -49, -84, 21, -44, 45, 57, 77, 95]

Pass 5:
  Compare -86 and -49
  No swap needed
  Compare -49 and -84
  Swap -49 and -84
  List after swap: [-86, -84, -49, 21, -44, 45, 57, 77, 95]
  Compare -49 and 21
  No swap needed
  Compare 21 and -44
  Swap 21 and -44
  List after swap: [-86, -84, -49, -44, 21, 45, 57, 77, 95]

Pass 6:
  Compare -86 and -84
  No swap needed
  Compare -84 and -49
  No swap needed
  Compare -49 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -84, -49, -44, 21, 45, 57, 77, 95]
</think>

<response>-86, -84, -49, -44, 21, 45, 57, 77, 95</response>


input: Execute bubble sort to sort 12, -47 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [12, -47]

Pass 1:
  Compare 12 and -47
  Swap 12 and -47
  List after swap: [-47, 12]

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

Final sorted list: [-47, 12]
</think>

<response>-47, 12</response>


input: Using the bubble sort method, sort 23, 49, 14 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [23, 49, 14]

Pass 1:
  Compare 23 and 49
  No swap needed
  Compare 49 and 14
  Swap 49 and 14
  List after swap: [23, 14, 49]

Pass 2:
  Compare 23 and 14
  Swap 23 and 14
  List after swap: [14, 23, 49]

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

Final sorted list: [14, 23, 49]
</think>

<response>14, 23, 49</response>


input: Arrange the numbers 76, -73, -38, -55, 30, -72, -75, 70, 16 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [76, -73, -38, -55, 30, -72, -75, 70, 16]

Pass 1:
  Compare 76 and -73
  Swap 76 and -73
  List after swap: [-73, 76, -38, -55, 30, -72, -75, 70, 16]
  Compare 76 and -38
  Swap 76 and -38
  List after swap: [-73, -38, 76, -55, 30, -72, -75, 70, 16]
  Compare 76 and -55
  Swap 76 and -55
  List after swap: [-73, -38, -55, 76, 30, -72, -75, 70, 16]
  Compare 76 and 30
  Swap 76 and 30
  List after swap: [-73, -38, -55, 30, 76, -72, -75, 70, 16]
  Compare 76 and -72
  Swap 76 and -72
  List after swap: [-73, -38, -55, 30, -72, 76, -75, 70, 16]
  Compare 76 and -75
  Swap 76 and -75
  List after swap: [-73, -38, -55, 30, -72, -75, 76, 70, 16]
  Compare 76 and 70
  Swap 76 and 70
  List after swap: [-73, -38, -55, 30, -72, -75, 70, 76, 16]
  Compare 76 and 16
  Swap 76 and 16
  List after swap: [-73, -38, -55, 30, -72, -75, 70, 16, 76]

Pass 2:
  Compare -73 and -38
  No swap needed
  Compare -38 and -55
  Swap -38 and -55
  List after swap: [-73, -55, -38, 30, -72, -75, 70, 16, 76]
  Compare -38 and 30
  No swap needed
  Compare 30 and -72
  Swap 30 and -72
  List after swap: [-73, -55, -38, -72, 30, -75, 70, 16, 76]
  Compare 30 and -75
  Swap 30 and -75
  List after swap: [-73, -55, -38, -72, -75, 30, 70, 16, 76]
  Compare 30 and 70
  No swap needed
  Compare 70 and 16
  Swap 70 and 16
  List after swap: [-73, -55, -38, -72, -75, 30, 16, 70, 76]

Pass 3:
  Compare -73 and -55
  No swap needed
  Compare -55 and -38
  No swap needed
  Compare -38 and -72
  Swap -38 and -72
  List after swap: [-73, -55, -72, -38, -75, 30, 16, 70, 76]
  Compare -38 and -75
  Swap -38 and -75
  List after swap: [-73, -55, -72, -75, -38, 30, 16, 70, 76]
  Compare -38 and 30
  No swap needed
  Compare 30 and 16
  Swap 30 and 16
  List after swap: [-73, -55, -72, -75, -38, 16, 30, 70, 76]

Pass 4:
  Compare -73 and -55
  No swap needed
  Compare -55 and -72
  Swap -55 and -72
  List after swap: [-73, -72, -55, -75, -38, 16, 30, 70, 76]
  Compare -55 and -75
  Swap -55 and -75
  List after swap: [-73, -72, -75, -55, -38, 16, 30, 70, 76]
  Compare -55 and -38
  No swap needed
  Compare -38 and 16
  No swap needed

Pass 5:
  Compare -73 and -72
  No swap needed
  Compare -72 and -75
  Swap -72 and -75
  List after swap: [-73, -75, -72, -55, -38, 16, 30, 70, 76]
  Compare -72 and -55
  No swap needed
  Compare -55 and -38
  No swap needed

Pass 6:
  Compare -73 and -75
  Swap -73 and -75
  List after swap: [-75, -73, -72, -55, -38, 16, 30, 70, 76]
  Compare -73 and -72
  No swap needed
  Compare -72 and -55
  No swap needed

Pass 7:
  Compare -75 and -73
  No swap needed
  Compare -73 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -73, -72, -55, -38, 16, 30, 70, 76]
</think>

<response>-75, -73, -72, -55, -38, 16, 30, 70, 76</response>


input: Using the bubble sort method, sort 74, -22, -25, 39, -55, 45, 83 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [74, -22, -25, 39, -55, 45, 83]

Pass 1:
  Compare 74 and -22
  Swap 74 and -22
  List after swap: [-22, 74, -25, 39, -55, 45, 83]
  Compare 74 and -25
  Swap 74 and -25
  List after swap: [-22, -25, 74, 39, -55, 45, 83]
  Compare 74 and 39
  Swap 74 and 39
  List after swap: [-22, -25, 39, 74, -55, 45, 83]
  Compare 74 and -55
  Swap 74 and -55
  List after swap: [-22, -25, 39, -55, 74, 45, 83]
  Compare 74 and 45
  Swap 74 and 45
  List after swap: [-22, -25, 39, -55, 45, 74, 83]
  Compare 74 and 83
  No swap needed

Pass 2:
  Compare -22 and -25
  Swap -22 and -25
  List after swap: [-25, -22, 39, -55, 45, 74, 83]
  Compare -22 and 39
  No swap needed
  Compare 39 and -55
  Swap 39 and -55
  List after swap: [-25, -22, -55, 39, 45, 74, 83]
  Compare 39 and 45
  No swap needed
  Compare 45 and 74
  No swap needed

Pass 3:
  Compare -25 and -22
  No swap needed
  Compare -22 and -55
  Swap -22 and -55
  List after swap: [-25, -55, -22, 39, 45, 74, 83]
  Compare -22 and 39
  No swap needed
  Compare 39 and 45
  No swap needed

Pass 4:
  Compare -25 and -55
  Swap -25 and -55
  List after swap: [-55, -25, -22, 39, 45, 74, 83]
  Compare -25 and -22
  No swap needed
  Compare -22 and 39
  No swap needed

Pass 5:
  Compare -55 and -25
  No swap needed
  Compare -25 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -25, -22, 39, 45, 74, 83]
</think>

<response>-55, -25, -22, 39, 45, 74, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 3, -31, -79, -80, -98, 73, -90, 12, -47, 82.

output:
<think>
Initial list: [3, -31, -79, -80, -98, 73, -90, 12, -47, 82]

Pass 1:
  Compare 3 and -31
  Swap 3 and -31
  List after swap: [-31, 3, -79, -80, -98, 73, -90, 12, -47, 82]
  Compare 3 and -79
  Swap 3 and -79
  List after swap: [-31, -79, 3, -80, -98, 73, -90, 12, -47, 82]
  Compare 3 and -80
  Swap 3 and -80
  List after swap: [-31, -79, -80, 3, -98, 73, -90, 12, -47, 82]
  Compare 3 and -98
  Swap 3 and -98
  List after swap: [-31, -79, -80, -98, 3, 73, -90, 12, -47, 82]
  Compare 3 and 73
  No swap needed
  Compare 73 and -90
  Swap 73 and -90
  List after swap: [-31, -79, -80, -98, 3, -90, 73, 12, -47, 82]
  Compare 73 and 12
  Swap 73 and 12
  List after swap: [-31, -79, -80, -98, 3, -90, 12, 73, -47, 82]
  Compare 73 and -47
  Swap 73 and -47
  List after swap: [-31, -79, -80, -98, 3, -90, 12, -47, 73, 82]
  Compare 73 and 82
  No swap needed

Pass 2:
  Compare -31 and -79
  Swap -31 and -79
  List after swap: [-79, -31, -80, -98, 3, -90, 12, -47, 73, 82]
  Compare -31 and -80
  Swap -31 and -80
  List after swap: [-79, -80, -31, -98, 3, -90, 12, -47, 73, 82]
  Compare -31 and -98
  Swap -31 and -98
  List after swap: [-79, -80, -98, -31, 3, -90, 12, -47, 73, 82]
  Compare -31 and 3
  No swap needed
  Compare 3 and -90
  Swap 3 and -90
  List after swap: [-79, -80, -98, -31, -90, 3, 12, -47, 73, 82]
  Compare 3 and 12
  No swap needed
  Compare 12 and -47
  Swap 12 and -47
  List after swap: [-79, -80, -98, -31, -90, 3, -47, 12, 73, 82]
  Compare 12 and 73
  No swap needed

Pass 3:
  Compare -79 and -80
  Swap -79 and -80
  List after swap: [-80, -79, -98, -31, -90, 3, -47, 12, 73, 82]
  Compare -79 and -98
  Swap -79 and -98
  List after swap: [-80, -98, -79, -31, -90, 3, -47, 12, 73, 82]
  Compare -79 and -31
  No swap needed
  Compare -31 and -90
  Swap -31 and -90
  List after swap: [-80, -98, -79, -90, -31, 3, -47, 12, 73, 82]
  Compare -31 and 3
  No swap needed
  Compare 3 and -47
  Swap 3 and -47
  List after swap: [-80, -98, -79, -90, -31, -47, 3, 12, 73, 82]
  Compare 3 and 12
  No swap needed

Pass 4:
  Compare -80 and -98
  Swap -80 and -98
  List after swap: [-98, -80, -79, -90, -31, -47, 3, 12, 73, 82]
  Compare -80 and -79
  No swap needed
  Compare -79 and -90
  Swap -79 and -90
  List after swap: [-98, -80, -90, -79, -31, -47, 3, 12, 73, 82]
  Compare -79 and -31
  No swap needed
  Compare -31 and -47
  Swap -31 and -47
  List after swap: [-98, -80, -90, -79, -47, -31, 3, 12, 73, 82]
  Compare -31 and 3
  No swap needed

Pass 5:
  Compare -98 and -80
  No swap needed
  Compare -80 and -90
  Swap -80 and -90
  List after swap: [-98, -90, -80, -79, -47, -31, 3, 12, 73, 82]
  Compare -80 and -79
  No swap needed
  Compare -79 and -47
  No swap needed
  Compare -47 and -31
  No swap needed

Pass 6:
  Compare -98 and -90
  No swap needed
  Compare -90 and -80
  No swap needed
  Compare -80 and -79
  No swap needed
  Compare -79 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -90, -80, -79, -47, -31, 3, 12, 73, 82]
</think>

<response>-98, -90, -80, -79, -47, -31, 3, 12, 73, 82</response>


input: Using the bubble sort method, sort 88, -48, -24, 93 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [88, -48, -24, 93]

Pass 1:
  Compare 88 and -48
  Swap 88 and -48
  List after swap: [-48, 88, -24, 93]
  Compare 88 and -24
  Swap 88 and -24
  List after swap: [-48, -24, 88, 93]
  Compare 88 and 93
  No swap needed

Pass 2:
  Compare -48 and -24
  No swap needed
  Compare -24 and 88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -24, 88, 93]
</think>

<response>-48, -24, 88, 93</response>


input: Using the bubble sort method, sort 37, -83, 61, -6, 78, -21 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [37, -83, 61, -6, 78, -21]

Pass 1:
  Compare 37 and -83
  Swap 37 and -83
  List after swap: [-83, 37, 61, -6, 78, -21]
  Compare 37 and 61
  No swap needed
  Compare 61 and -6
  Swap 61 and -6
  List after swap: [-83, 37, -6, 61, 78, -21]
  Compare 61 and 78
  No swap needed
  Compare 78 and -21
  Swap 78 and -21
  List after swap: [-83, 37, -6, 61, -21, 78]

Pass 2:
  Compare -83 and 37
  No swap needed
  Compare 37 and -6
  Swap 37 and -6
  List after swap: [-83, -6, 37, 61, -21, 78]
  Compare 37 and 61
  No swap needed
  Compare 61 and -21
  Swap 61 and -21
  List after swap: [-83, -6, 37, -21, 61, 78]

Pass 3:
  Compare -83 and -6
  No swap needed
  Compare -6 and 37
  No swap needed
  Compare 37 and -21
  Swap 37 and -21
  List after swap: [-83, -6, -21, 37, 61, 78]

Pass 4:
  Compare -83 and -6
  No swap needed
  Compare -6 and -21
  Swap -6 and -21
  List after swap: [-83, -21, -6, 37, 61, 78]

Pass 5:
  Compare -83 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -21, -6, 37, 61, 78]
</think>

<response>-83, -21, -6, 37, 61, 78</response>