input: Use bubble sort to organize these integers in increasing order and record each step taken: -21, 72, -91, 69, -67, -6, 12, 2.

output:
<think>
Initial list: [-21, 72, -91, 69, -67, -6, 12, 2]

Pass 1:
  Compare -21 and 72
  No swap needed
  Compare 72 and -91
  Swap 72 and -91
  List after swap: [-21, -91, 72, 69, -67, -6, 12, 2]
  Compare 72 and 69
  Swap 72 and 69
  List after swap: [-21, -91, 69, 72, -67, -6, 12, 2]
  Compare 72 and -67
  Swap 72 and -67
  List after swap: [-21, -91, 69, -67, 72, -6, 12, 2]
  Compare 72 and -6
  Swap 72 and -6
  List after swap: [-21, -91, 69, -67, -6, 72, 12, 2]
  Compare 72 and 12
  Swap 72 and 12
  List after swap: [-21, -91, 69, -67, -6, 12, 72, 2]
  Compare 72 and 2
  Swap 72 and 2
  List after swap: [-21, -91, 69, -67, -6, 12, 2, 72]

Pass 2:
  Compare -21 and -91
  Swap -21 and -91
  List after swap: [-91, -21, 69, -67, -6, 12, 2, 72]
  Compare -21 and 69
  No swap needed
  Compare 69 and -67
  Swap 69 and -67
  List after swap: [-91, -21, -67, 69, -6, 12, 2, 72]
  Compare 69 and -6
  Swap 69 and -6
  List after swap: [-91, -21, -67, -6, 69, 12, 2, 72]
  Compare 69 and 12
  Swap 69 and 12
  List after swap: [-91, -21, -67, -6, 12, 69, 2, 72]
  Compare 69 and 2
  Swap 69 and 2
  List after swap: [-91, -21, -67, -6, 12, 2, 69, 72]

Pass 3:
  Compare -91 and -21
  No swap needed
  Compare -21 and -67
  Swap -21 and -67
  List after swap: [-91, -67, -21, -6, 12, 2, 69, 72]
  Compare -21 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and 2
  Swap 12 and 2
  List after swap: [-91, -67, -21, -6, 2, 12, 69, 72]

Pass 4:
  Compare -91 and -67
  No swap needed
  Compare -67 and -21
  No swap needed
  Compare -21 and -6
  No swap needed
  Compare -6 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -67, -21, -6, 2, 12, 69, 72]
</think>

<response>-91, -67, -21, -6, 2, 12, 69, 72</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -17, -1.

output:
<think>
Initial list: [-17, -1]

Pass 1:
  Compare -17 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-17, -1]
</think>

<response>-17, -1</response>


input: Execute bubble sort to sort 87, -50, 9, -43, 47 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [87, -50, 9, -43, 47]

Pass 1:
  Compare 87 and -50
  Swap 87 and -50
  List after swap: [-50, 87, 9, -43, 47]
  Compare 87 and 9
  Swap 87 and 9
  List after swap: [-50, 9, 87, -43, 47]
  Compare 87 and -43
  Swap 87 and -43
  List after swap: [-50, 9, -43, 87, 47]
  Compare 87 and 47
  Swap 87 and 47
  List after swap: [-50, 9, -43, 47, 87]

Pass 2:
  Compare -50 and 9
  No swap needed
  Compare 9 and -43
  Swap 9 and -43
  List after swap: [-50, -43, 9, 47, 87]
  Compare 9 and 47
  No swap needed

Pass 3:
  Compare -50 and -43
  No swap needed
  Compare -43 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -43, 9, 47, 87]
</think>

<response>-50, -43, 9, 47, 87</response>


input: Execute bubble sort to sort 88, -61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [88, -61]

Pass 1:
  Compare 88 and -61
  Swap 88 and -61
  List after swap: [-61, 88]

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

Final sorted list: [-61, 88]
</think>

<response>-61, 88</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 55, 43.

output:
<think>
Initial list: [55, 43]

Pass 1:
  Compare 55 and 43
  Swap 55 and 43
  List after swap: [43, 55]

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

Final sorted list: [43, 55]
</think>

<response>43, 55</response>


input: Perform a bubble sort on the integers 5, 24, -73, -11, 14, -87, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [5, 24, -73, -11, 14, -87]

Pass 1:
  Compare 5 and 24
  No swap needed
  Compare 24 and -73
  Swap 24 and -73
  List after swap: [5, -73, 24, -11, 14, -87]
  Compare 24 and -11
  Swap 24 and -11
  List after swap: [5, -73, -11, 24, 14, -87]
  Compare 24 and 14
  Swap 24 and 14
  List after swap: [5, -73, -11, 14, 24, -87]
  Compare 24 and -87
  Swap 24 and -87
  List after swap: [5, -73, -11, 14, -87, 24]

Pass 2:
  Compare 5 and -73
  Swap 5 and -73
  List after swap: [-73, 5, -11, 14, -87, 24]
  Compare 5 and -11
  Swap 5 and -11
  List after swap: [-73, -11, 5, 14, -87, 24]
  Compare 5 and 14
  No swap needed
  Compare 14 and -87
  Swap 14 and -87
  List after swap: [-73, -11, 5, -87, 14, 24]

Pass 3:
  Compare -73 and -11
  No swap needed
  Compare -11 and 5
  No swap needed
  Compare 5 and -87
  Swap 5 and -87
  List after swap: [-73, -11, -87, 5, 14, 24]

Pass 4:
  Compare -73 and -11
  No swap needed
  Compare -11 and -87
  Swap -11 and -87
  List after swap: [-73, -87, -11, 5, 14, 24]

Pass 5:
  Compare -73 and -87
  Swap -73 and -87
  List after swap: [-87, -73, -11, 5, 14, 24]

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

Final sorted list: [-87, -73, -11, 5, 14, 24]
</think>

<response>-87, -73, -11, 5, 14, 24</response>


input: Use the bubble sort technique to reorder -2, -43, -38, -11, -21, 8, 60, 16, -85 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-2, -43, -38, -11, -21, 8, 60, 16, -85]

Pass 1:
  Compare -2 and -43
  Swap -2 and -43
  List after swap: [-43, -2, -38, -11, -21, 8, 60, 16, -85]
  Compare -2 and -38
  Swap -2 and -38
  List after swap: [-43, -38, -2, -11, -21, 8, 60, 16, -85]
  Compare -2 and -11
  Swap -2 and -11
  List after swap: [-43, -38, -11, -2, -21, 8, 60, 16, -85]
  Compare -2 and -21
  Swap -2 and -21
  List after swap: [-43, -38, -11, -21, -2, 8, 60, 16, -85]
  Compare -2 and 8
  No swap needed
  Compare 8 and 60
  No swap needed
  Compare 60 and 16
  Swap 60 and 16
  List after swap: [-43, -38, -11, -21, -2, 8, 16, 60, -85]
  Compare 60 and -85
  Swap 60 and -85
  List after swap: [-43, -38, -11, -21, -2, 8, 16, -85, 60]

Pass 2:
  Compare -43 and -38
  No swap needed
  Compare -38 and -11
  No swap needed
  Compare -11 and -21
  Swap -11 and -21
  List after swap: [-43, -38, -21, -11, -2, 8, 16, -85, 60]
  Compare -11 and -2
  No swap needed
  Compare -2 and 8
  No swap needed
  Compare 8 and 16
  No swap needed
  Compare 16 and -85
  Swap 16 and -85
  List after swap: [-43, -38, -21, -11, -2, 8, -85, 16, 60]

Pass 3:
  Compare -43 and -38
  No swap needed
  Compare -38 and -21
  No swap needed
  Compare -21 and -11
  No swap needed
  Compare -11 and -2
  No swap needed
  Compare -2 and 8
  No swap needed
  Compare 8 and -85
  Swap 8 and -85
  List after swap: [-43, -38, -21, -11, -2, -85, 8, 16, 60]

Pass 4:
  Compare -43 and -38
  No swap needed
  Compare -38 and -21
  No swap needed
  Compare -21 and -11
  No swap needed
  Compare -11 and -2
  No swap needed
  Compare -2 and -85
  Swap -2 and -85
  List after swap: [-43, -38, -21, -11, -85, -2, 8, 16, 60]

Pass 5:
  Compare -43 and -38
  No swap needed
  Compare -38 and -21
  No swap needed
  Compare -21 and -11
  No swap needed
  Compare -11 and -85
  Swap -11 and -85
  List after swap: [-43, -38, -21, -85, -11, -2, 8, 16, 60]

Pass 6:
  Compare -43 and -38
  No swap needed
  Compare -38 and -21
  No swap needed
  Compare -21 and -85
  Swap -21 and -85
  List after swap: [-43, -38, -85, -21, -11, -2, 8, 16, 60]

Pass 7:
  Compare -43 and -38
  No swap needed
  Compare -38 and -85
  Swap -38 and -85
  List after swap: [-43, -85, -38, -21, -11, -2, 8, 16, 60]

Pass 8:
  Compare -43 and -85
  Swap -43 and -85
  List after swap: [-85, -43, -38, -21, -11, -2, 8, 16, 60]

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

Final sorted list: [-85, -43, -38, -21, -11, -2, 8, 16, 60]
</think>

<response>-85, -43, -38, -21, -11, -2, 8, 16, 60</response>


input: Using the bubble sort method, sort -74, -73, -23, 52, 83, -11, 25 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-74, -73, -23, 52, 83, -11, 25]

Pass 1:
  Compare -74 and -73
  No swap needed
  Compare -73 and -23
  No swap needed
  Compare -23 and 52
  No swap needed
  Compare 52 and 83
  No swap needed
  Compare 83 and -11
  Swap 83 and -11
  List after swap: [-74, -73, -23, 52, -11, 83, 25]
  Compare 83 and 25
  Swap 83 and 25
  List after swap: [-74, -73, -23, 52, -11, 25, 83]

Pass 2:
  Compare -74 and -73
  No swap needed
  Compare -73 and -23
  No swap needed
  Compare -23 and 52
  No swap needed
  Compare 52 and -11
  Swap 52 and -11
  List after swap: [-74, -73, -23, -11, 52, 25, 83]
  Compare 52 and 25
  Swap 52 and 25
  List after swap: [-74, -73, -23, -11, 25, 52, 83]

Pass 3:
  Compare -74 and -73
  No swap needed
  Compare -73 and -23
  No swap needed
  Compare -23 and -11
  No swap needed
  Compare -11 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -73, -23, -11, 25, 52, 83]
</think>

<response>-74, -73, -23, -11, 25, 52, 83</response>


input: Demonstrate how bubble sort orders the integers 89, -17, -39, 1, -72, -86, 95, 11, -89, -36 in ascending sequence, showing all steps.

output:
<think>
Initial list: [89, -17, -39, 1, -72, -86, 95, 11, -89, -36]

Pass 1:
  Compare 89 and -17
  Swap 89 and -17
  List after swap: [-17, 89, -39, 1, -72, -86, 95, 11, -89, -36]
  Compare 89 and -39
  Swap 89 and -39
  List after swap: [-17, -39, 89, 1, -72, -86, 95, 11, -89, -36]
  Compare 89 and 1
  Swap 89 and 1
  List after swap: [-17, -39, 1, 89, -72, -86, 95, 11, -89, -36]
  Compare 89 and -72
  Swap 89 and -72
  List after swap: [-17, -39, 1, -72, 89, -86, 95, 11, -89, -36]
  Compare 89 and -86
  Swap 89 and -86
  List after swap: [-17, -39, 1, -72, -86, 89, 95, 11, -89, -36]
  Compare 89 and 95
  No swap needed
  Compare 95 and 11
  Swap 95 and 11
  List after swap: [-17, -39, 1, -72, -86, 89, 11, 95, -89, -36]
  Compare 95 and -89
  Swap 95 and -89
  List after swap: [-17, -39, 1, -72, -86, 89, 11, -89, 95, -36]
  Compare 95 and -36
  Swap 95 and -36
  List after swap: [-17, -39, 1, -72, -86, 89, 11, -89, -36, 95]

Pass 2:
  Compare -17 and -39
  Swap -17 and -39
  List after swap: [-39, -17, 1, -72, -86, 89, 11, -89, -36, 95]
  Compare -17 and 1
  No swap needed
  Compare 1 and -72
  Swap 1 and -72
  List after swap: [-39, -17, -72, 1, -86, 89, 11, -89, -36, 95]
  Compare 1 and -86
  Swap 1 and -86
  List after swap: [-39, -17, -72, -86, 1, 89, 11, -89, -36, 95]
  Compare 1 and 89
  No swap needed
  Compare 89 and 11
  Swap 89 and 11
  List after swap: [-39, -17, -72, -86, 1, 11, 89, -89, -36, 95]
  Compare 89 and -89
  Swap 89 and -89
  List after swap: [-39, -17, -72, -86, 1, 11, -89, 89, -36, 95]
  Compare 89 and -36
  Swap 89 and -36
  List after swap: [-39, -17, -72, -86, 1, 11, -89, -36, 89, 95]

Pass 3:
  Compare -39 and -17
  No swap needed
  Compare -17 and -72
  Swap -17 and -72
  List after swap: [-39, -72, -17, -86, 1, 11, -89, -36, 89, 95]
  Compare -17 and -86
  Swap -17 and -86
  List after swap: [-39, -72, -86, -17, 1, 11, -89, -36, 89, 95]
  Compare -17 and 1
  No swap needed
  Compare 1 and 11
  No swap needed
  Compare 11 and -89
  Swap 11 and -89
  List after swap: [-39, -72, -86, -17, 1, -89, 11, -36, 89, 95]
  Compare 11 and -36
  Swap 11 and -36
  List after swap: [-39, -72, -86, -17, 1, -89, -36, 11, 89, 95]

Pass 4:
  Compare -39 and -72
  Swap -39 and -72
  List after swap: [-72, -39, -86, -17, 1, -89, -36, 11, 89, 95]
  Compare -39 and -86
  Swap -39 and -86
  List after swap: [-72, -86, -39, -17, 1, -89, -36, 11, 89, 95]
  Compare -39 and -17
  No swap needed
  Compare -17 and 1
  No swap needed
  Compare 1 and -89
  Swap 1 and -89
  List after swap: [-72, -86, -39, -17, -89, 1, -36, 11, 89, 95]
  Compare 1 and -36
  Swap 1 and -36
  List after swap: [-72, -86, -39, -17, -89, -36, 1, 11, 89, 95]

Pass 5:
  Compare -72 and -86
  Swap -72 and -86
  List after swap: [-86, -72, -39, -17, -89, -36, 1, 11, 89, 95]
  Compare -72 and -39
  No swap needed
  Compare -39 and -17
  No swap needed
  Compare -17 and -89
  Swap -17 and -89
  List after swap: [-86, -72, -39, -89, -17, -36, 1, 11, 89, 95]
  Compare -17 and -36
  Swap -17 and -36
  List after swap: [-86, -72, -39, -89, -36, -17, 1, 11, 89, 95]

Pass 6:
  Compare -86 and -72
  No swap needed
  Compare -72 and -39
  No swap needed
  Compare -39 and -89
  Swap -39 and -89
  List after swap: [-86, -72, -89, -39, -36, -17, 1, 11, 89, 95]
  Compare -39 and -36
  No swap needed

Pass 7:
  Compare -86 and -72
  No swap needed
  Compare -72 and -89
  Swap -72 and -89
  List after swap: [-86, -89, -72, -39, -36, -17, 1, 11, 89, 95]
  Compare -72 and -39
  No swap needed

Pass 8:
  Compare -86 and -89
  Swap -86 and -89
  List after swap: [-89, -86, -72, -39, -36, -17, 1, 11, 89, 95]
  Compare -86 and -72
  No swap needed

Pass 9:
  Compare -89 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -86, -72, -39, -36, -17, 1, 11, 89, 95]
</think>

<response>-89, -86, -72, -39, -36, -17, 1, 11, 89, 95</response>


input: Sort the list 45, 26, -95 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [45, 26, -95]

Pass 1:
  Compare 45 and 26
  Swap 45 and 26
  List after swap: [26, 45, -95]
  Compare 45 and -95
  Swap 45 and -95
  List after swap: [26, -95, 45]

Pass 2:
  Compare 26 and -95
  Swap 26 and -95
  List after swap: [-95, 26, 45]

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

Final sorted list: [-95, 26, 45]
</think>

<response>-95, 26, 45</response>


input: Arrange the numbers 97, -14, 99, -23, 18, -98, -91, -67, 5 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [97, -14, 99, -23, 18, -98, -91, -67, 5]

Pass 1:
  Compare 97 and -14
  Swap 97 and -14
  List after swap: [-14, 97, 99, -23, 18, -98, -91, -67, 5]
  Compare 97 and 99
  No swap needed
  Compare 99 and -23
  Swap 99 and -23
  List after swap: [-14, 97, -23, 99, 18, -98, -91, -67, 5]
  Compare 99 and 18
  Swap 99 and 18
  List after swap: [-14, 97, -23, 18, 99, -98, -91, -67, 5]
  Compare 99 and -98
  Swap 99 and -98
  List after swap: [-14, 97, -23, 18, -98, 99, -91, -67, 5]
  Compare 99 and -91
  Swap 99 and -91
  List after swap: [-14, 97, -23, 18, -98, -91, 99, -67, 5]
  Compare 99 and -67
  Swap 99 and -67
  List after swap: [-14, 97, -23, 18, -98, -91, -67, 99, 5]
  Compare 99 and 5
  Swap 99 and 5
  List after swap: [-14, 97, -23, 18, -98, -91, -67, 5, 99]

Pass 2:
  Compare -14 and 97
  No swap needed
  Compare 97 and -23
  Swap 97 and -23
  List after swap: [-14, -23, 97, 18, -98, -91, -67, 5, 99]
  Compare 97 and 18
  Swap 97 and 18
  List after swap: [-14, -23, 18, 97, -98, -91, -67, 5, 99]
  Compare 97 and -98
  Swap 97 and -98
  List after swap: [-14, -23, 18, -98, 97, -91, -67, 5, 99]
  Compare 97 and -91
  Swap 97 and -91
  List after swap: [-14, -23, 18, -98, -91, 97, -67, 5, 99]
  Compare 97 and -67
  Swap 97 and -67
  List after swap: [-14, -23, 18, -98, -91, -67, 97, 5, 99]
  Compare 97 and 5
  Swap 97 and 5
  List after swap: [-14, -23, 18, -98, -91, -67, 5, 97, 99]

Pass 3:
  Compare -14 and -23
  Swap -14 and -23
  List after swap: [-23, -14, 18, -98, -91, -67, 5, 97, 99]
  Compare -14 and 18
  No swap needed
  Compare 18 and -98
  Swap 18 and -98
  List after swap: [-23, -14, -98, 18, -91, -67, 5, 97, 99]
  Compare 18 and -91
  Swap 18 and -91
  List after swap: [-23, -14, -98, -91, 18, -67, 5, 97, 99]
  Compare 18 and -67
  Swap 18 and -67
  List after swap: [-23, -14, -98, -91, -67, 18, 5, 97, 99]
  Compare 18 and 5
  Swap 18 and 5
  List after swap: [-23, -14, -98, -91, -67, 5, 18, 97, 99]

Pass 4:
  Compare -23 and -14
  No swap needed
  Compare -14 and -98
  Swap -14 and -98
  List after swap: [-23, -98, -14, -91, -67, 5, 18, 97, 99]
  Compare -14 and -91
  Swap -14 and -91
  List after swap: [-23, -98, -91, -14, -67, 5, 18, 97, 99]
  Compare -14 and -67
  Swap -14 and -67
  List after swap: [-23, -98, -91, -67, -14, 5, 18, 97, 99]
  Compare -14 and 5
  No swap needed

Pass 5:
  Compare -23 and -98
  Swap -23 and -98
  List after swap: [-98, -23, -91, -67, -14, 5, 18, 97, 99]
  Compare -23 and -91
  Swap -23 and -91
  List after swap: [-98, -91, -23, -67, -14, 5, 18, 97, 99]
  Compare -23 and -67
  Swap -23 and -67
  List after swap: [-98, -91, -67, -23, -14, 5, 18, 97, 99]
  Compare -23 and -14
  No swap needed

Pass 6:
  Compare -98 and -91
  No swap needed
  Compare -91 and -67
  No swap needed
  Compare -67 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -91, -67, -23, -14, 5, 18, 97, 99]
</think>

<response>-98, -91, -67, -23, -14, 5, 18, 97, 99</response>


input: Perform a bubble sort on the integers -53, 41, 23, 7, 32, 63, 9, 13, 97, -8, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-53, 41, 23, 7, 32, 63, 9, 13, 97, -8]

Pass 1:
  Compare -53 and 41
  No swap needed
  Compare 41 and 23
  Swap 41 and 23
  List after swap: [-53, 23, 41, 7, 32, 63, 9, 13, 97, -8]
  Compare 41 and 7
  Swap 41 and 7
  List after swap: [-53, 23, 7, 41, 32, 63, 9, 13, 97, -8]
  Compare 41 and 32
  Swap 41 and 32
  List after swap: [-53, 23, 7, 32, 41, 63, 9, 13, 97, -8]
  Compare 41 and 63
  No swap needed
  Compare 63 and 9
  Swap 63 and 9
  List after swap: [-53, 23, 7, 32, 41, 9, 63, 13, 97, -8]
  Compare 63 and 13
  Swap 63 and 13
  List after swap: [-53, 23, 7, 32, 41, 9, 13, 63, 97, -8]
  Compare 63 and 97
  No swap needed
  Compare 97 and -8
  Swap 97 and -8
  List after swap: [-53, 23, 7, 32, 41, 9, 13, 63, -8, 97]

Pass 2:
  Compare -53 and 23
  No swap needed
  Compare 23 and 7
  Swap 23 and 7
  List after swap: [-53, 7, 23, 32, 41, 9, 13, 63, -8, 97]
  Compare 23 and 32
  No swap needed
  Compare 32 and 41
  No swap needed
  Compare 41 and 9
  Swap 41 and 9
  List after swap: [-53, 7, 23, 32, 9, 41, 13, 63, -8, 97]
  Compare 41 and 13
  Swap 41 and 13
  List after swap: [-53, 7, 23, 32, 9, 13, 41, 63, -8, 97]
  Compare 41 and 63
  No swap needed
  Compare 63 and -8
  Swap 63 and -8
  List after swap: [-53, 7, 23, 32, 9, 13, 41, -8, 63, 97]

Pass 3:
  Compare -53 and 7
  No swap needed
  Compare 7 and 23
  No swap needed
  Compare 23 and 32
  No swap needed
  Compare 32 and 9
  Swap 32 and 9
  List after swap: [-53, 7, 23, 9, 32, 13, 41, -8, 63, 97]
  Compare 32 and 13
  Swap 32 and 13
  List after swap: [-53, 7, 23, 9, 13, 32, 41, -8, 63, 97]
  Compare 32 and 41
  No swap needed
  Compare 41 and -8
  Swap 41 and -8
  List after swap: [-53, 7, 23, 9, 13, 32, -8, 41, 63, 97]

Pass 4:
  Compare -53 and 7
  No swap needed
  Compare 7 and 23
  No swap needed
  Compare 23 and 9
  Swap 23 and 9
  List after swap: [-53, 7, 9, 23, 13, 32, -8, 41, 63, 97]
  Compare 23 and 13
  Swap 23 and 13
  List after swap: [-53, 7, 9, 13, 23, 32, -8, 41, 63, 97]
  Compare 23 and 32
  No swap needed
  Compare 32 and -8
  Swap 32 and -8
  List after swap: [-53, 7, 9, 13, 23, -8, 32, 41, 63, 97]

Pass 5:
  Compare -53 and 7
  No swap needed
  Compare 7 and 9
  No swap needed
  Compare 9 and 13
  No swap needed
  Compare 13 and 23
  No swap needed
  Compare 23 and -8
  Swap 23 and -8
  List after swap: [-53, 7, 9, 13, -8, 23, 32, 41, 63, 97]

Pass 6:
  Compare -53 and 7
  No swap needed
  Compare 7 and 9
  No swap needed
  Compare 9 and 13
  No swap needed
  Compare 13 and -8
  Swap 13 and -8
  List after swap: [-53, 7, 9, -8, 13, 23, 32, 41, 63, 97]

Pass 7:
  Compare -53 and 7
  No swap needed
  Compare 7 and 9
  No swap needed
  Compare 9 and -8
  Swap 9 and -8
  List after swap: [-53, 7, -8, 9, 13, 23, 32, 41, 63, 97]

Pass 8:
  Compare -53 and 7
  No swap needed
  Compare 7 and -8
  Swap 7 and -8
  List after swap: [-53, -8, 7, 9, 13, 23, 32, 41, 63, 97]

Pass 9:
  Compare -53 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -8, 7, 9, 13, 23, 32, 41, 63, 97]
</think>

<response>-53, -8, 7, 9, 13, 23, 32, 41, 63, 97</response>


input: Implement bubble sort on -24, -55, 34, 25, 52, 36, -86, 22 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-24, -55, 34, 25, 52, 36, -86, 22]

Pass 1:
  Compare -24 and -55
  Swap -24 and -55
  List after swap: [-55, -24, 34, 25, 52, 36, -86, 22]
  Compare -24 and 34
  No swap needed
  Compare 34 and 25
  Swap 34 and 25
  List after swap: [-55, -24, 25, 34, 52, 36, -86, 22]
  Compare 34 and 52
  No swap needed
  Compare 52 and 36
  Swap 52 and 36
  List after swap: [-55, -24, 25, 34, 36, 52, -86, 22]
  Compare 52 and -86
  Swap 52 and -86
  List after swap: [-55, -24, 25, 34, 36, -86, 52, 22]
  Compare 52 and 22
  Swap 52 and 22
  List after swap: [-55, -24, 25, 34, 36, -86, 22, 52]

Pass 2:
  Compare -55 and -24
  No swap needed
  Compare -24 and 25
  No swap needed
  Compare 25 and 34
  No swap needed
  Compare 34 and 36
  No swap needed
  Compare 36 and -86
  Swap 36 and -86
  List after swap: [-55, -24, 25, 34, -86, 36, 22, 52]
  Compare 36 and 22
  Swap 36 and 22
  List after swap: [-55, -24, 25, 34, -86, 22, 36, 52]

Pass 3:
  Compare -55 and -24
  No swap needed
  Compare -24 and 25
  No swap needed
  Compare 25 and 34
  No swap needed
  Compare 34 and -86
  Swap 34 and -86
  List after swap: [-55, -24, 25, -86, 34, 22, 36, 52]
  Compare 34 and 22
  Swap 34 and 22
  List after swap: [-55, -24, 25, -86, 22, 34, 36, 52]

Pass 4:
  Compare -55 and -24
  No swap needed
  Compare -24 and 25
  No swap needed
  Compare 25 and -86
  Swap 25 and -86
  List after swap: [-55, -24, -86, 25, 22, 34, 36, 52]
  Compare 25 and 22
  Swap 25 and 22
  List after swap: [-55, -24, -86, 22, 25, 34, 36, 52]

Pass 5:
  Compare -55 and -24
  No swap needed
  Compare -24 and -86
  Swap -24 and -86
  List after swap: [-55, -86, -24, 22, 25, 34, 36, 52]
  Compare -24 and 22
  No swap needed

Pass 6:
  Compare -55 and -86
  Swap -55 and -86
  List after swap: [-86, -55, -24, 22, 25, 34, 36, 52]
  Compare -55 and -24
  No swap needed

Pass 7:
  Compare -86 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -55, -24, 22, 25, 34, 36, 52]
</think>

<response>-86, -55, -24, 22, 25, 34, 36, 52</response>


input: Implement bubble sort on 95, 54, -7, -15, 34, -2, -46, -99, -81 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [95, 54, -7, -15, 34, -2, -46, -99, -81]

Pass 1:
  Compare 95 and 54
  Swap 95 and 54
  List after swap: [54, 95, -7, -15, 34, -2, -46, -99, -81]
  Compare 95 and -7
  Swap 95 and -7
  List after swap: [54, -7, 95, -15, 34, -2, -46, -99, -81]
  Compare 95 and -15
  Swap 95 and -15
  List after swap: [54, -7, -15, 95, 34, -2, -46, -99, -81]
  Compare 95 and 34
  Swap 95 and 34
  List after swap: [54, -7, -15, 34, 95, -2, -46, -99, -81]
  Compare 95 and -2
  Swap 95 and -2
  List after swap: [54, -7, -15, 34, -2, 95, -46, -99, -81]
  Compare 95 and -46
  Swap 95 and -46
  List after swap: [54, -7, -15, 34, -2, -46, 95, -99, -81]
  Compare 95 and -99
  Swap 95 and -99
  List after swap: [54, -7, -15, 34, -2, -46, -99, 95, -81]
  Compare 95 and -81
  Swap 95 and -81
  List after swap: [54, -7, -15, 34, -2, -46, -99, -81, 95]

Pass 2:
  Compare 54 and -7
  Swap 54 and -7
  List after swap: [-7, 54, -15, 34, -2, -46, -99, -81, 95]
  Compare 54 and -15
  Swap 54 and -15
  List after swap: [-7, -15, 54, 34, -2, -46, -99, -81, 95]
  Compare 54 and 34
  Swap 54 and 34
  List after swap: [-7, -15, 34, 54, -2, -46, -99, -81, 95]
  Compare 54 and -2
  Swap 54 and -2
  List after swap: [-7, -15, 34, -2, 54, -46, -99, -81, 95]
  Compare 54 and -46
  Swap 54 and -46
  List after swap: [-7, -15, 34, -2, -46, 54, -99, -81, 95]
  Compare 54 and -99
  Swap 54 and -99
  List after swap: [-7, -15, 34, -2, -46, -99, 54, -81, 95]
  Compare 54 and -81
  Swap 54 and -81
  List after swap: [-7, -15, 34, -2, -46, -99, -81, 54, 95]

Pass 3:
  Compare -7 and -15
  Swap -7 and -15
  List after swap: [-15, -7, 34, -2, -46, -99, -81, 54, 95]
  Compare -7 and 34
  No swap needed
  Compare 34 and -2
  Swap 34 and -2
  List after swap: [-15, -7, -2, 34, -46, -99, -81, 54, 95]
  Compare 34 and -46
  Swap 34 and -46
  List after swap: [-15, -7, -2, -46, 34, -99, -81, 54, 95]
  Compare 34 and -99
  Swap 34 and -99
  List after swap: [-15, -7, -2, -46, -99, 34, -81, 54, 95]
  Compare 34 and -81
  Swap 34 and -81
  List after swap: [-15, -7, -2, -46, -99, -81, 34, 54, 95]

Pass 4:
  Compare -15 and -7
  No swap needed
  Compare -7 and -2
  No swap needed
  Compare -2 and -46
  Swap -2 and -46
  List after swap: [-15, -7, -46, -2, -99, -81, 34, 54, 95]
  Compare -2 and -99
  Swap -2 and -99
  List after swap: [-15, -7, -46, -99, -2, -81, 34, 54, 95]
  Compare -2 and -81
  Swap -2 and -81
  List after swap: [-15, -7, -46, -99, -81, -2, 34, 54, 95]

Pass 5:
  Compare -15 and -7
  No swap needed
  Compare -7 and -46
  Swap -7 and -46
  List after swap: [-15, -46, -7, -99, -81, -2, 34, 54, 95]
  Compare -7 and -99
  Swap -7 and -99
  List after swap: [-15, -46, -99, -7, -81, -2, 34, 54, 95]
  Compare -7 and -81
  Swap -7 and -81
  List after swap: [-15, -46, -99, -81, -7, -2, 34, 54, 95]

Pass 6:
  Compare -15 and -46
  Swap -15 and -46
  List after swap: [-46, -15, -99, -81, -7, -2, 34, 54, 95]
  Compare -15 and -99
  Swap -15 and -99
  List after swap: [-46, -99, -15, -81, -7, -2, 34, 54, 95]
  Compare -15 and -81
  Swap -15 and -81
  List after swap: [-46, -99, -81, -15, -7, -2, 34, 54, 95]

Pass 7:
  Compare -46 and -99
  Swap -46 and -99
  List after swap: [-99, -46, -81, -15, -7, -2, 34, 54, 95]
  Compare -46 and -81
  Swap -46 and -81
  List after swap: [-99, -81, -46, -15, -7, -2, 34, 54, 95]

Pass 8:
  Compare -99 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -81, -46, -15, -7, -2, 34, 54, 95]
</think>

<response>-99, -81, -46, -15, -7, -2, 34, 54, 95</response>


input: Sort the list 42, 30, 75, 98, 41, -10, -100, -18, 65, -95 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [42, 30, 75, 98, 41, -10, -100, -18, 65, -95]

Pass 1:
  Compare 42 and 30
  Swap 42 and 30
  List after swap: [30, 42, 75, 98, 41, -10, -100, -18, 65, -95]
  Compare 42 and 75
  No swap needed
  Compare 75 and 98
  No swap needed
  Compare 98 and 41
  Swap 98 and 41
  List after swap: [30, 42, 75, 41, 98, -10, -100, -18, 65, -95]
  Compare 98 and -10
  Swap 98 and -10
  List after swap: [30, 42, 75, 41, -10, 98, -100, -18, 65, -95]
  Compare 98 and -100
  Swap 98 and -100
  List after swap: [30, 42, 75, 41, -10, -100, 98, -18, 65, -95]
  Compare 98 and -18
  Swap 98 and -18
  List after swap: [30, 42, 75, 41, -10, -100, -18, 98, 65, -95]
  Compare 98 and 65
  Swap 98 and 65
  List after swap: [30, 42, 75, 41, -10, -100, -18, 65, 98, -95]
  Compare 98 and -95
  Swap 98 and -95
  List after swap: [30, 42, 75, 41, -10, -100, -18, 65, -95, 98]

Pass 2:
  Compare 30 and 42
  No swap needed
  Compare 42 and 75
  No swap needed
  Compare 75 and 41
  Swap 75 and 41
  List after swap: [30, 42, 41, 75, -10, -100, -18, 65, -95, 98]
  Compare 75 and -10
  Swap 75 and -10
  List after swap: [30, 42, 41, -10, 75, -100, -18, 65, -95, 98]
  Compare 75 and -100
  Swap 75 and -100
  List after swap: [30, 42, 41, -10, -100, 75, -18, 65, -95, 98]
  Compare 75 and -18
  Swap 75 and -18
  List after swap: [30, 42, 41, -10, -100, -18, 75, 65, -95, 98]
  Compare 75 and 65
  Swap 75 and 65
  List after swap: [30, 42, 41, -10, -100, -18, 65, 75, -95, 98]
  Compare 75 and -95
  Swap 75 and -95
  List after swap: [30, 42, 41, -10, -100, -18, 65, -95, 75, 98]

Pass 3:
  Compare 30 and 42
  No swap needed
  Compare 42 and 41
  Swap 42 and 41
  List after swap: [30, 41, 42, -10, -100, -18, 65, -95, 75, 98]
  Compare 42 and -10
  Swap 42 and -10
  List after swap: [30, 41, -10, 42, -100, -18, 65, -95, 75, 98]
  Compare 42 and -100
  Swap 42 and -100
  List after swap: [30, 41, -10, -100, 42, -18, 65, -95, 75, 98]
  Compare 42 and -18
  Swap 42 and -18
  List after swap: [30, 41, -10, -100, -18, 42, 65, -95, 75, 98]
  Compare 42 and 65
  No swap needed
  Compare 65 and -95
  Swap 65 and -95
  List after swap: [30, 41, -10, -100, -18, 42, -95, 65, 75, 98]

Pass 4:
  Compare 30 and 41
  No swap needed
  Compare 41 and -10
  Swap 41 and -10
  List after swap: [30, -10, 41, -100, -18, 42, -95, 65, 75, 98]
  Compare 41 and -100
  Swap 41 and -100
  List after swap: [30, -10, -100, 41, -18, 42, -95, 65, 75, 98]
  Compare 41 and -18
  Swap 41 and -18
  List after swap: [30, -10, -100, -18, 41, 42, -95, 65, 75, 98]
  Compare 41 and 42
  No swap needed
  Compare 42 and -95
  Swap 42 and -95
  List after swap: [30, -10, -100, -18, 41, -95, 42, 65, 75, 98]

Pass 5:
  Compare 30 and -10
  Swap 30 and -10
  List after swap: [-10, 30, -100, -18, 41, -95, 42, 65, 75, 98]
  Compare 30 and -100
  Swap 30 and -100
  List after swap: [-10, -100, 30, -18, 41, -95, 42, 65, 75, 98]
  Compare 30 and -18
  Swap 30 and -18
  List after swap: [-10, -100, -18, 30, 41, -95, 42, 65, 75, 98]
  Compare 30 and 41
  No swap needed
  Compare 41 and -95
  Swap 41 and -95
  List after swap: [-10, -100, -18, 30, -95, 41, 42, 65, 75, 98]

Pass 6:
  Compare -10 and -100
  Swap -10 and -100
  List after swap: [-100, -10, -18, 30, -95, 41, 42, 65, 75, 98]
  Compare -10 and -18
  Swap -10 and -18
  List after swap: [-100, -18, -10, 30, -95, 41, 42, 65, 75, 98]
  Compare -10 and 30
  No swap needed
  Compare 30 and -95
  Swap 30 and -95
  List after swap: [-100, -18, -10, -95, 30, 41, 42, 65, 75, 98]

Pass 7:
  Compare -100 and -18
  No swap needed
  Compare -18 and -10
  No swap needed
  Compare -10 and -95
  Swap -10 and -95
  List after swap: [-100, -18, -95, -10, 30, 41, 42, 65, 75, 98]

Pass 8:
  Compare -100 and -18
  No swap needed
  Compare -18 and -95
  Swap -18 and -95
  List after swap: [-100, -95, -18, -10, 30, 41, 42, 65, 75, 98]

Pass 9:
  Compare -100 and -95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -95, -18, -10, 30, 41, 42, 65, 75, 98]
</think>

<response>-100, -95, -18, -10, 30, 41, 42, 65, 75, 98</response>


input: Perform a bubble sort on the integers 54, -59, -35, -16, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [54, -59, -35, -16]

Pass 1:
  Compare 54 and -59
  Swap 54 and -59
  List after swap: [-59, 54, -35, -16]
  Compare 54 and -35
  Swap 54 and -35
  List after swap: [-59, -35, 54, -16]
  Compare 54 and -16
  Swap 54 and -16
  List after swap: [-59, -35, -16, 54]

Pass 2:
  Compare -59 and -35
  No swap needed
  Compare -35 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -35, -16, 54]
</think>

<response>-59, -35, -16, 54</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -75, 37.

output:
<think>
Initial list: [-75, 37]

Pass 1:
  Compare -75 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, 37]
</think>

<response>-75, 37</response>


input: Demonstrate how bubble sort orders the integers -48, -73, -19 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-48, -73, -19]

Pass 1:
  Compare -48 and -73
  Swap -48 and -73
  List after swap: [-73, -48, -19]
  Compare -48 and -19
  No swap needed

Pass 2:
  Compare -73 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -48, -19]
</think>

<response>-73, -48, -19</response>


input: Implement bubble sort on -29, 59, -5 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-29, 59, -5]

Pass 1:
  Compare -29 and 59
  No swap needed
  Compare 59 and -5
  Swap 59 and -5
  List after swap: [-29, -5, 59]

Pass 2:
  Compare -29 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, -5, 59]
</think>

<response>-29, -5, 59</response>


input: Using the bubble sort method, sort 8, 78, -40, 72 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [8, 78, -40, 72]

Pass 1:
  Compare 8 and 78
  No swap needed
  Compare 78 and -40
  Swap 78 and -40
  List after swap: [8, -40, 78, 72]
  Compare 78 and 72
  Swap 78 and 72
  List after swap: [8, -40, 72, 78]

Pass 2:
  Compare 8 and -40
  Swap 8 and -40
  List after swap: [-40, 8, 72, 78]
  Compare 8 and 72
  No swap needed

Pass 3:
  Compare -40 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, 8, 72, 78]
</think>

<response>-40, 8, 72, 78</response>


input: Use the bubble sort technique to reorder 82, 50, 6 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [82, 50, 6]

Pass 1:
  Compare 82 and 50
  Swap 82 and 50
  List after swap: [50, 82, 6]
  Compare 82 and 6
  Swap 82 and 6
  List after swap: [50, 6, 82]

Pass 2:
  Compare 50 and 6
  Swap 50 and 6
  List after swap: [6, 50, 82]

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

Final sorted list: [6, 50, 82]
</think>

<response>6, 50, 82</response>


input: Perform a bubble sort on the integers 43, -57, 0, -7, -40, 16, 93, -67, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [43, -57, 0, -7, -40, 16, 93, -67]

Pass 1:
  Compare 43 and -57
  Swap 43 and -57
  List after swap: [-57, 43, 0, -7, -40, 16, 93, -67]
  Compare 43 and 0
  Swap 43 and 0
  List after swap: [-57, 0, 43, -7, -40, 16, 93, -67]
  Compare 43 and -7
  Swap 43 and -7
  List after swap: [-57, 0, -7, 43, -40, 16, 93, -67]
  Compare 43 and -40
  Swap 43 and -40
  List after swap: [-57, 0, -7, -40, 43, 16, 93, -67]
  Compare 43 and 16
  Swap 43 and 16
  List after swap: [-57, 0, -7, -40, 16, 43, 93, -67]
  Compare 43 and 93
  No swap needed
  Compare 93 and -67
  Swap 93 and -67
  List after swap: [-57, 0, -7, -40, 16, 43, -67, 93]

Pass 2:
  Compare -57 and 0
  No swap needed
  Compare 0 and -7
  Swap 0 and -7
  List after swap: [-57, -7, 0, -40, 16, 43, -67, 93]
  Compare 0 and -40
  Swap 0 and -40
  List after swap: [-57, -7, -40, 0, 16, 43, -67, 93]
  Compare 0 and 16
  No swap needed
  Compare 16 and 43
  No swap needed
  Compare 43 and -67
  Swap 43 and -67
  List after swap: [-57, -7, -40, 0, 16, -67, 43, 93]

Pass 3:
  Compare -57 and -7
  No swap needed
  Compare -7 and -40
  Swap -7 and -40
  List after swap: [-57, -40, -7, 0, 16, -67, 43, 93]
  Compare -7 and 0
  No swap needed
  Compare 0 and 16
  No swap needed
  Compare 16 and -67
  Swap 16 and -67
  List after swap: [-57, -40, -7, 0, -67, 16, 43, 93]

Pass 4:
  Compare -57 and -40
  No swap needed
  Compare -40 and -7
  No swap needed
  Compare -7 and 0
  No swap needed
  Compare 0 and -67
  Swap 0 and -67
  List after swap: [-57, -40, -7, -67, 0, 16, 43, 93]

Pass 5:
  Compare -57 and -40
  No swap needed
  Compare -40 and -7
  No swap needed
  Compare -7 and -67
  Swap -7 and -67
  List after swap: [-57, -40, -67, -7, 0, 16, 43, 93]

Pass 6:
  Compare -57 and -40
  No swap needed
  Compare -40 and -67
  Swap -40 and -67
  List after swap: [-57, -67, -40, -7, 0, 16, 43, 93]

Pass 7:
  Compare -57 and -67
  Swap -57 and -67
  List after swap: [-67, -57, -40, -7, 0, 16, 43, 93]

Pass 8:
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -57, -40, -7, 0, 16, 43, 93]
</think>

<response>-67, -57, -40, -7, 0, 16, 43, 93</response>


input: Sort these integers -6, -23, 92, 93 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-6, -23, 92, 93]

Pass 1:
  Compare -6 and -23
  Swap -6 and -23
  List after swap: [-23, -6, 92, 93]
  Compare -6 and 92
  No swap needed
  Compare 92 and 93
  No swap needed

Pass 2:
  Compare -23 and -6
  No swap needed
  Compare -6 and 92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, -6, 92, 93]
</think>

<response>-23, -6, 92, 93</response>


input: Sort these integers 5, 22, 33, 23, -32, 77 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [5, 22, 33, 23, -32, 77]

Pass 1:
  Compare 5 and 22
  No swap needed
  Compare 22 and 33
  No swap needed
  Compare 33 and 23
  Swap 33 and 23
  List after swap: [5, 22, 23, 33, -32, 77]
  Compare 33 and -32
  Swap 33 and -32
  List after swap: [5, 22, 23, -32, 33, 77]
  Compare 33 and 77
  No swap needed

Pass 2:
  Compare 5 and 22
  No swap needed
  Compare 22 and 23
  No swap needed
  Compare 23 and -32
  Swap 23 and -32
  List after swap: [5, 22, -32, 23, 33, 77]
  Compare 23 and 33
  No swap needed

Pass 3:
  Compare 5 and 22
  No swap needed
  Compare 22 and -32
  Swap 22 and -32
  List after swap: [5, -32, 22, 23, 33, 77]
  Compare 22 and 23
  No swap needed

Pass 4:
  Compare 5 and -32
  Swap 5 and -32
  List after swap: [-32, 5, 22, 23, 33, 77]
  Compare 5 and 22
  No swap needed

Pass 5:
  Compare -32 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, 5, 22, 23, 33, 77]
</think>

<response>-32, 5, 22, 23, 33, 77</response>


input: Sort the list -29, 44, 19, -82, -58, -11 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-29, 44, 19, -82, -58, -11]

Pass 1:
  Compare -29 and 44
  No swap needed
  Compare 44 and 19
  Swap 44 and 19
  List after swap: [-29, 19, 44, -82, -58, -11]
  Compare 44 and -82
  Swap 44 and -82
  List after swap: [-29, 19, -82, 44, -58, -11]
  Compare 44 and -58
  Swap 44 and -58
  List after swap: [-29, 19, -82, -58, 44, -11]
  Compare 44 and -11
  Swap 44 and -11
  List after swap: [-29, 19, -82, -58, -11, 44]

Pass 2:
  Compare -29 and 19
  No swap needed
  Compare 19 and -82
  Swap 19 and -82
  List after swap: [-29, -82, 19, -58, -11, 44]
  Compare 19 and -58
  Swap 19 and -58
  List after swap: [-29, -82, -58, 19, -11, 44]
  Compare 19 and -11
  Swap 19 and -11
  List after swap: [-29, -82, -58, -11, 19, 44]

Pass 3:
  Compare -29 and -82
  Swap -29 and -82
  List after swap: [-82, -29, -58, -11, 19, 44]
  Compare -29 and -58
  Swap -29 and -58
  List after swap: [-82, -58, -29, -11, 19, 44]
  Compare -29 and -11
  No swap needed

Pass 4:
  Compare -82 and -58
  No swap needed
  Compare -58 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -58, -29, -11, 19, 44]
</think>

<response>-82, -58, -29, -11, 19, 44</response>


input: Sort the list 5, -82, 46, -86, 62, 35, -49, -1, -89, -18 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [5, -82, 46, -86, 62, 35, -49, -1, -89, -18]

Pass 1:
  Compare 5 and -82
  Swap 5 and -82
  List after swap: [-82, 5, 46, -86, 62, 35, -49, -1, -89, -18]
  Compare 5 and 46
  No swap needed
  Compare 46 and -86
  Swap 46 and -86
  List after swap: [-82, 5, -86, 46, 62, 35, -49, -1, -89, -18]
  Compare 46 and 62
  No swap needed
  Compare 62 and 35
  Swap 62 and 35
  List after swap: [-82, 5, -86, 46, 35, 62, -49, -1, -89, -18]
  Compare 62 and -49
  Swap 62 and -49
  List after swap: [-82, 5, -86, 46, 35, -49, 62, -1, -89, -18]
  Compare 62 and -1
  Swap 62 and -1
  List after swap: [-82, 5, -86, 46, 35, -49, -1, 62, -89, -18]
  Compare 62 and -89
  Swap 62 and -89
  List after swap: [-82, 5, -86, 46, 35, -49, -1, -89, 62, -18]
  Compare 62 and -18
  Swap 62 and -18
  List after swap: [-82, 5, -86, 46, 35, -49, -1, -89, -18, 62]

Pass 2:
  Compare -82 and 5
  No swap needed
  Compare 5 and -86
  Swap 5 and -86
  List after swap: [-82, -86, 5, 46, 35, -49, -1, -89, -18, 62]
  Compare 5 and 46
  No swap needed
  Compare 46 and 35
  Swap 46 and 35
  List after swap: [-82, -86, 5, 35, 46, -49, -1, -89, -18, 62]
  Compare 46 and -49
  Swap 46 and -49
  List after swap: [-82, -86, 5, 35, -49, 46, -1, -89, -18, 62]
  Compare 46 and -1
  Swap 46 and -1
  List after swap: [-82, -86, 5, 35, -49, -1, 46, -89, -18, 62]
  Compare 46 and -89
  Swap 46 and -89
  List after swap: [-82, -86, 5, 35, -49, -1, -89, 46, -18, 62]
  Compare 46 and -18
  Swap 46 and -18
  List after swap: [-82, -86, 5, 35, -49, -1, -89, -18, 46, 62]

Pass 3:
  Compare -82 and -86
  Swap -82 and -86
  List after swap: [-86, -82, 5, 35, -49, -1, -89, -18, 46, 62]
  Compare -82 and 5
  No swap needed
  Compare 5 and 35
  No swap needed
  Compare 35 and -49
  Swap 35 and -49
  List after swap: [-86, -82, 5, -49, 35, -1, -89, -18, 46, 62]
  Compare 35 and -1
  Swap 35 and -1
  List after swap: [-86, -82, 5, -49, -1, 35, -89, -18, 46, 62]
  Compare 35 and -89
  Swap 35 and -89
  List after swap: [-86, -82, 5, -49, -1, -89, 35, -18, 46, 62]
  Compare 35 and -18
  Swap 35 and -18
  List after swap: [-86, -82, 5, -49, -1, -89, -18, 35, 46, 62]

Pass 4:
  Compare -86 and -82
  No swap needed
  Compare -82 and 5
  No swap needed
  Compare 5 and -49
  Swap 5 and -49
  List after swap: [-86, -82, -49, 5, -1, -89, -18, 35, 46, 62]
  Compare 5 and -1
  Swap 5 and -1
  List after swap: [-86, -82, -49, -1, 5, -89, -18, 35, 46, 62]
  Compare 5 and -89
  Swap 5 and -89
  List after swap: [-86, -82, -49, -1, -89, 5, -18, 35, 46, 62]
  Compare 5 and -18
  Swap 5 and -18
  List after swap: [-86, -82, -49, -1, -89, -18, 5, 35, 46, 62]

Pass 5:
  Compare -86 and -82
  No swap needed
  Compare -82 and -49
  No swap needed
  Compare -49 and -1
  No swap needed
  Compare -1 and -89
  Swap -1 and -89
  List after swap: [-86, -82, -49, -89, -1, -18, 5, 35, 46, 62]
  Compare -1 and -18
  Swap -1 and -18
  List after swap: [-86, -82, -49, -89, -18, -1, 5, 35, 46, 62]

Pass 6:
  Compare -86 and -82
  No swap needed
  Compare -82 and -49
  No swap needed
  Compare -49 and -89
  Swap -49 and -89
  List after swap: [-86, -82, -89, -49, -18, -1, 5, 35, 46, 62]
  Compare -49 and -18
  No swap needed

Pass 7:
  Compare -86 and -82
  No swap needed
  Compare -82 and -89
  Swap -82 and -89
  List after swap: [-86, -89, -82, -49, -18, -1, 5, 35, 46, 62]
  Compare -82 and -49
  No swap needed

Pass 8:
  Compare -86 and -89
  Swap -86 and -89
  List after swap: [-89, -86, -82, -49, -18, -1, 5, 35, 46, 62]
  Compare -86 and -82
  No swap needed

Pass 9:
  Compare -89 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -86, -82, -49, -18, -1, 5, 35, 46, 62]
</think>

<response>-89, -86, -82, -49, -18, -1, 5, 35, 46, 62</response>


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

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

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

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

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

<response>-91, 91</response>


input: Using the bubble sort method, sort 82, -17, 48, 11, 47, 85, 64, 40, -35, -54 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [82, -17, 48, 11, 47, 85, 64, 40, -35, -54]

Pass 1:
  Compare 82 and -17
  Swap 82 and -17
  List after swap: [-17, 82, 48, 11, 47, 85, 64, 40, -35, -54]
  Compare 82 and 48
  Swap 82 and 48
  List after swap: [-17, 48, 82, 11, 47, 85, 64, 40, -35, -54]
  Compare 82 and 11
  Swap 82 and 11
  List after swap: [-17, 48, 11, 82, 47, 85, 64, 40, -35, -54]
  Compare 82 and 47
  Swap 82 and 47
  List after swap: [-17, 48, 11, 47, 82, 85, 64, 40, -35, -54]
  Compare 82 and 85
  No swap needed
  Compare 85 and 64
  Swap 85 and 64
  List after swap: [-17, 48, 11, 47, 82, 64, 85, 40, -35, -54]
  Compare 85 and 40
  Swap 85 and 40
  List after swap: [-17, 48, 11, 47, 82, 64, 40, 85, -35, -54]
  Compare 85 and -35
  Swap 85 and -35
  List after swap: [-17, 48, 11, 47, 82, 64, 40, -35, 85, -54]
  Compare 85 and -54
  Swap 85 and -54
  List after swap: [-17, 48, 11, 47, 82, 64, 40, -35, -54, 85]

Pass 2:
  Compare -17 and 48
  No swap needed
  Compare 48 and 11
  Swap 48 and 11
  List after swap: [-17, 11, 48, 47, 82, 64, 40, -35, -54, 85]
  Compare 48 and 47
  Swap 48 and 47
  List after swap: [-17, 11, 47, 48, 82, 64, 40, -35, -54, 85]
  Compare 48 and 82
  No swap needed
  Compare 82 and 64
  Swap 82 and 64
  List after swap: [-17, 11, 47, 48, 64, 82, 40, -35, -54, 85]
  Compare 82 and 40
  Swap 82 and 40
  List after swap: [-17, 11, 47, 48, 64, 40, 82, -35, -54, 85]
  Compare 82 and -35
  Swap 82 and -35
  List after swap: [-17, 11, 47, 48, 64, 40, -35, 82, -54, 85]
  Compare 82 and -54
  Swap 82 and -54
  List after swap: [-17, 11, 47, 48, 64, 40, -35, -54, 82, 85]

Pass 3:
  Compare -17 and 11
  No swap needed
  Compare 11 and 47
  No swap needed
  Compare 47 and 48
  No swap needed
  Compare 48 and 64
  No swap needed
  Compare 64 and 40
  Swap 64 and 40
  List after swap: [-17, 11, 47, 48, 40, 64, -35, -54, 82, 85]
  Compare 64 and -35
  Swap 64 and -35
  List after swap: [-17, 11, 47, 48, 40, -35, 64, -54, 82, 85]
  Compare 64 and -54
  Swap 64 and -54
  List after swap: [-17, 11, 47, 48, 40, -35, -54, 64, 82, 85]

Pass 4:
  Compare -17 and 11
  No swap needed
  Compare 11 and 47
  No swap needed
  Compare 47 and 48
  No swap needed
  Compare 48 and 40
  Swap 48 and 40
  List after swap: [-17, 11, 47, 40, 48, -35, -54, 64, 82, 85]
  Compare 48 and -35
  Swap 48 and -35
  List after swap: [-17, 11, 47, 40, -35, 48, -54, 64, 82, 85]
  Compare 48 and -54
  Swap 48 and -54
  List after swap: [-17, 11, 47, 40, -35, -54, 48, 64, 82, 85]

Pass 5:
  Compare -17 and 11
  No swap needed
  Compare 11 and 47
  No swap needed
  Compare 47 and 40
  Swap 47 and 40
  List after swap: [-17, 11, 40, 47, -35, -54, 48, 64, 82, 85]
  Compare 47 and -35
  Swap 47 and -35
  List after swap: [-17, 11, 40, -35, 47, -54, 48, 64, 82, 85]
  Compare 47 and -54
  Swap 47 and -54
  List after swap: [-17, 11, 40, -35, -54, 47, 48, 64, 82, 85]

Pass 6:
  Compare -17 and 11
  No swap needed
  Compare 11 and 40
  No swap needed
  Compare 40 and -35
  Swap 40 and -35
  List after swap: [-17, 11, -35, 40, -54, 47, 48, 64, 82, 85]
  Compare 40 and -54
  Swap 40 and -54
  List after swap: [-17, 11, -35, -54, 40, 47, 48, 64, 82, 85]

Pass 7:
  Compare -17 and 11
  No swap needed
  Compare 11 and -35
  Swap 11 and -35
  List after swap: [-17, -35, 11, -54, 40, 47, 48, 64, 82, 85]
  Compare 11 and -54
  Swap 11 and -54
  List after swap: [-17, -35, -54, 11, 40, 47, 48, 64, 82, 85]

Pass 8:
  Compare -17 and -35
  Swap -17 and -35
  List after swap: [-35, -17, -54, 11, 40, 47, 48, 64, 82, 85]
  Compare -17 and -54
  Swap -17 and -54
  List after swap: [-35, -54, -17, 11, 40, 47, 48, 64, 82, 85]

Pass 9:
  Compare -35 and -54
  Swap -35 and -54
  List after swap: [-54, -35, -17, 11, 40, 47, 48, 64, 82, 85]

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

Final sorted list: [-54, -35, -17, 11, 40, 47, 48, 64, 82, 85]
</think>

<response>-54, -35, -17, 11, 40, 47, 48, 64, 82, 85</response>


input: Using the bubble sort method, sort -48, -21, 67, 13, 91, -86, 16, -41, -10 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-48, -21, 67, 13, 91, -86, 16, -41, -10]

Pass 1:
  Compare -48 and -21
  No swap needed
  Compare -21 and 67
  No swap needed
  Compare 67 and 13
  Swap 67 and 13
  List after swap: [-48, -21, 13, 67, 91, -86, 16, -41, -10]
  Compare 67 and 91
  No swap needed
  Compare 91 and -86
  Swap 91 and -86
  List after swap: [-48, -21, 13, 67, -86, 91, 16, -41, -10]
  Compare 91 and 16
  Swap 91 and 16
  List after swap: [-48, -21, 13, 67, -86, 16, 91, -41, -10]
  Compare 91 and -41
  Swap 91 and -41
  List after swap: [-48, -21, 13, 67, -86, 16, -41, 91, -10]
  Compare 91 and -10
  Swap 91 and -10
  List after swap: [-48, -21, 13, 67, -86, 16, -41, -10, 91]

Pass 2:
  Compare -48 and -21
  No swap needed
  Compare -21 and 13
  No swap needed
  Compare 13 and 67
  No swap needed
  Compare 67 and -86
  Swap 67 and -86
  List after swap: [-48, -21, 13, -86, 67, 16, -41, -10, 91]
  Compare 67 and 16
  Swap 67 and 16
  List after swap: [-48, -21, 13, -86, 16, 67, -41, -10, 91]
  Compare 67 and -41
  Swap 67 and -41
  List after swap: [-48, -21, 13, -86, 16, -41, 67, -10, 91]
  Compare 67 and -10
  Swap 67 and -10
  List after swap: [-48, -21, 13, -86, 16, -41, -10, 67, 91]

Pass 3:
  Compare -48 and -21
  No swap needed
  Compare -21 and 13
  No swap needed
  Compare 13 and -86
  Swap 13 and -86
  List after swap: [-48, -21, -86, 13, 16, -41, -10, 67, 91]
  Compare 13 and 16
  No swap needed
  Compare 16 and -41
  Swap 16 and -41
  List after swap: [-48, -21, -86, 13, -41, 16, -10, 67, 91]
  Compare 16 and -10
  Swap 16 and -10
  List after swap: [-48, -21, -86, 13, -41, -10, 16, 67, 91]

Pass 4:
  Compare -48 and -21
  No swap needed
  Compare -21 and -86
  Swap -21 and -86
  List after swap: [-48, -86, -21, 13, -41, -10, 16, 67, 91]
  Compare -21 and 13
  No swap needed
  Compare 13 and -41
  Swap 13 and -41
  List after swap: [-48, -86, -21, -41, 13, -10, 16, 67, 91]
  Compare 13 and -10
  Swap 13 and -10
  List after swap: [-48, -86, -21, -41, -10, 13, 16, 67, 91]

Pass 5:
  Compare -48 and -86
  Swap -48 and -86
  List after swap: [-86, -48, -21, -41, -10, 13, 16, 67, 91]
  Compare -48 and -21
  No swap needed
  Compare -21 and -41
  Swap -21 and -41
  List after swap: [-86, -48, -41, -21, -10, 13, 16, 67, 91]
  Compare -21 and -10
  No swap needed

Pass 6:
  Compare -86 and -48
  No swap needed
  Compare -48 and -41
  No swap needed
  Compare -41 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -48, -41, -21, -10, 13, 16, 67, 91]
</think>

<response>-86, -48, -41, -21, -10, 13, 16, 67, 91</response>


input: Using the bubble sort method, sort -23, -44, -38, -94, -89, 41, 80, 83, 4, -78 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-23, -44, -38, -94, -89, 41, 80, 83, 4, -78]

Pass 1:
  Compare -23 and -44
  Swap -23 and -44
  List after swap: [-44, -23, -38, -94, -89, 41, 80, 83, 4, -78]
  Compare -23 and -38
  Swap -23 and -38
  List after swap: [-44, -38, -23, -94, -89, 41, 80, 83, 4, -78]
  Compare -23 and -94
  Swap -23 and -94
  List after swap: [-44, -38, -94, -23, -89, 41, 80, 83, 4, -78]
  Compare -23 and -89
  Swap -23 and -89
  List after swap: [-44, -38, -94, -89, -23, 41, 80, 83, 4, -78]
  Compare -23 and 41
  No swap needed
  Compare 41 and 80
  No swap needed
  Compare 80 and 83
  No swap needed
  Compare 83 and 4
  Swap 83 and 4
  List after swap: [-44, -38, -94, -89, -23, 41, 80, 4, 83, -78]
  Compare 83 and -78
  Swap 83 and -78
  List after swap: [-44, -38, -94, -89, -23, 41, 80, 4, -78, 83]

Pass 2:
  Compare -44 and -38
  No swap needed
  Compare -38 and -94
  Swap -38 and -94
  List after swap: [-44, -94, -38, -89, -23, 41, 80, 4, -78, 83]
  Compare -38 and -89
  Swap -38 and -89
  List after swap: [-44, -94, -89, -38, -23, 41, 80, 4, -78, 83]
  Compare -38 and -23
  No swap needed
  Compare -23 and 41
  No swap needed
  Compare 41 and 80
  No swap needed
  Compare 80 and 4
  Swap 80 and 4
  List after swap: [-44, -94, -89, -38, -23, 41, 4, 80, -78, 83]
  Compare 80 and -78
  Swap 80 and -78
  List after swap: [-44, -94, -89, -38, -23, 41, 4, -78, 80, 83]

Pass 3:
  Compare -44 and -94
  Swap -44 and -94
  List after swap: [-94, -44, -89, -38, -23, 41, 4, -78, 80, 83]
  Compare -44 and -89
  Swap -44 and -89
  List after swap: [-94, -89, -44, -38, -23, 41, 4, -78, 80, 83]
  Compare -44 and -38
  No swap needed
  Compare -38 and -23
  No swap needed
  Compare -23 and 41
  No swap needed
  Compare 41 and 4
  Swap 41 and 4
  List after swap: [-94, -89, -44, -38, -23, 4, 41, -78, 80, 83]
  Compare 41 and -78
  Swap 41 and -78
  List after swap: [-94, -89, -44, -38, -23, 4, -78, 41, 80, 83]

Pass 4:
  Compare -94 and -89
  No swap needed
  Compare -89 and -44
  No swap needed
  Compare -44 and -38
  No swap needed
  Compare -38 and -23
  No swap needed
  Compare -23 and 4
  No swap needed
  Compare 4 and -78
  Swap 4 and -78
  List after swap: [-94, -89, -44, -38, -23, -78, 4, 41, 80, 83]

Pass 5:
  Compare -94 and -89
  No swap needed
  Compare -89 and -44
  No swap needed
  Compare -44 and -38
  No swap needed
  Compare -38 and -23
  No swap needed
  Compare -23 and -78
  Swap -23 and -78
  List after swap: [-94, -89, -44, -38, -78, -23, 4, 41, 80, 83]

Pass 6:
  Compare -94 and -89
  No swap needed
  Compare -89 and -44
  No swap needed
  Compare -44 and -38
  No swap needed
  Compare -38 and -78
  Swap -38 and -78
  List after swap: [-94, -89, -44, -78, -38, -23, 4, 41, 80, 83]

Pass 7:
  Compare -94 and -89
  No swap needed
  Compare -89 and -44
  No swap needed
  Compare -44 and -78
  Swap -44 and -78
  List after swap: [-94, -89, -78, -44, -38, -23, 4, 41, 80, 83]

Pass 8:
  Compare -94 and -89
  No swap needed
  Compare -89 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -89, -78, -44, -38, -23, 4, 41, 80, 83]
</think>

<response>-94, -89, -78, -44, -38, -23, 4, 41, 80, 83</response>


input: Carry out the bubble sort algorithm on -23, -72, 86, -30, -38 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-23, -72, 86, -30, -38]

Pass 1:
  Compare -23 and -72
  Swap -23 and -72
  List after swap: [-72, -23, 86, -30, -38]
  Compare -23 and 86
  No swap needed
  Compare 86 and -30
  Swap 86 and -30
  List after swap: [-72, -23, -30, 86, -38]
  Compare 86 and -38
  Swap 86 and -38
  List after swap: [-72, -23, -30, -38, 86]

Pass 2:
  Compare -72 and -23
  No swap needed
  Compare -23 and -30
  Swap -23 and -30
  List after swap: [-72, -30, -23, -38, 86]
  Compare -23 and -38
  Swap -23 and -38
  List after swap: [-72, -30, -38, -23, 86]

Pass 3:
  Compare -72 and -30
  No swap needed
  Compare -30 and -38
  Swap -30 and -38
  List after swap: [-72, -38, -30, -23, 86]

Pass 4:
  Compare -72 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -38, -30, -23, 86]
</think>

<response>-72, -38, -30, -23, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -100, -2, 95, -63, -90, -73, -21, 36, -78, 57.

output:
<think>
Initial list: [-100, -2, 95, -63, -90, -73, -21, 36, -78, 57]

Pass 1:
  Compare -100 and -2
  No swap needed
  Compare -2 and 95
  No swap needed
  Compare 95 and -63
  Swap 95 and -63
  List after swap: [-100, -2, -63, 95, -90, -73, -21, 36, -78, 57]
  Compare 95 and -90
  Swap 95 and -90
  List after swap: [-100, -2, -63, -90, 95, -73, -21, 36, -78, 57]
  Compare 95 and -73
  Swap 95 and -73
  List after swap: [-100, -2, -63, -90, -73, 95, -21, 36, -78, 57]
  Compare 95 and -21
  Swap 95 and -21
  List after swap: [-100, -2, -63, -90, -73, -21, 95, 36, -78, 57]
  Compare 95 and 36
  Swap 95 and 36
  List after swap: [-100, -2, -63, -90, -73, -21, 36, 95, -78, 57]
  Compare 95 and -78
  Swap 95 and -78
  List after swap: [-100, -2, -63, -90, -73, -21, 36, -78, 95, 57]
  Compare 95 and 57
  Swap 95 and 57
  List after swap: [-100, -2, -63, -90, -73, -21, 36, -78, 57, 95]

Pass 2:
  Compare -100 and -2
  No swap needed
  Compare -2 and -63
  Swap -2 and -63
  List after swap: [-100, -63, -2, -90, -73, -21, 36, -78, 57, 95]
  Compare -2 and -90
  Swap -2 and -90
  List after swap: [-100, -63, -90, -2, -73, -21, 36, -78, 57, 95]
  Compare -2 and -73
  Swap -2 and -73
  List after swap: [-100, -63, -90, -73, -2, -21, 36, -78, 57, 95]
  Compare -2 and -21
  Swap -2 and -21
  List after swap: [-100, -63, -90, -73, -21, -2, 36, -78, 57, 95]
  Compare -2 and 36
  No swap needed
  Compare 36 and -78
  Swap 36 and -78
  List after swap: [-100, -63, -90, -73, -21, -2, -78, 36, 57, 95]
  Compare 36 and 57
  No swap needed

Pass 3:
  Compare -100 and -63
  No swap needed
  Compare -63 and -90
  Swap -63 and -90
  List after swap: [-100, -90, -63, -73, -21, -2, -78, 36, 57, 95]
  Compare -63 and -73
  Swap -63 and -73
  List after swap: [-100, -90, -73, -63, -21, -2, -78, 36, 57, 95]
  Compare -63 and -21
  No swap needed
  Compare -21 and -2
  No swap needed
  Compare -2 and -78
  Swap -2 and -78
  List after swap: [-100, -90, -73, -63, -21, -78, -2, 36, 57, 95]
  Compare -2 and 36
  No swap needed

Pass 4:
  Compare -100 and -90
  No swap needed
  Compare -90 and -73
  No swap needed
  Compare -73 and -63
  No swap needed
  Compare -63 and -21
  No swap needed
  Compare -21 and -78
  Swap -21 and -78
  List after swap: [-100, -90, -73, -63, -78, -21, -2, 36, 57, 95]
  Compare -21 and -2
  No swap needed

Pass 5:
  Compare -100 and -90
  No swap needed
  Compare -90 and -73
  No swap needed
  Compare -73 and -63
  No swap needed
  Compare -63 and -78
  Swap -63 and -78
  List after swap: [-100, -90, -73, -78, -63, -21, -2, 36, 57, 95]
  Compare -63 and -21
  No swap needed

Pass 6:
  Compare -100 and -90
  No swap needed
  Compare -90 and -73
  No swap needed
  Compare -73 and -78
  Swap -73 and -78
  List after swap: [-100, -90, -78, -73, -63, -21, -2, 36, 57, 95]
  Compare -73 and -63
  No swap needed

Pass 7:
  Compare -100 and -90
  No swap needed
  Compare -90 and -78
  No swap needed
  Compare -78 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -90, -78, -73, -63, -21, -2, 36, 57, 95]
</think>

<response>-100, -90, -78, -73, -63, -21, -2, 36, 57, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -32, -45, 24, 68, -51, 1.

output:
<think>
Initial list: [-32, -45, 24, 68, -51, 1]

Pass 1:
  Compare -32 and -45
  Swap -32 and -45
  List after swap: [-45, -32, 24, 68, -51, 1]
  Compare -32 and 24
  No swap needed
  Compare 24 and 68
  No swap needed
  Compare 68 and -51
  Swap 68 and -51
  List after swap: [-45, -32, 24, -51, 68, 1]
  Compare 68 and 1
  Swap 68 and 1
  List after swap: [-45, -32, 24, -51, 1, 68]

Pass 2:
  Compare -45 and -32
  No swap needed
  Compare -32 and 24
  No swap needed
  Compare 24 and -51
  Swap 24 and -51
  List after swap: [-45, -32, -51, 24, 1, 68]
  Compare 24 and 1
  Swap 24 and 1
  List after swap: [-45, -32, -51, 1, 24, 68]

Pass 3:
  Compare -45 and -32
  No swap needed
  Compare -32 and -51
  Swap -32 and -51
  List after swap: [-45, -51, -32, 1, 24, 68]
  Compare -32 and 1
  No swap needed

Pass 4:
  Compare -45 and -51
  Swap -45 and -51
  List after swap: [-51, -45, -32, 1, 24, 68]
  Compare -45 and -32
  No swap needed

Pass 5:
  Compare -51 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -45, -32, 1, 24, 68]
</think>

<response>-51, -45, -32, 1, 24, 68</response>


input: Demonstrate how bubble sort orders the integers -61, -77, -50, -81, -64, 46, -63, 25, -94, -48 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-61, -77, -50, -81, -64, 46, -63, 25, -94, -48]

Pass 1:
  Compare -61 and -77
  Swap -61 and -77
  List after swap: [-77, -61, -50, -81, -64, 46, -63, 25, -94, -48]
  Compare -61 and -50
  No swap needed
  Compare -50 and -81
  Swap -50 and -81
  List after swap: [-77, -61, -81, -50, -64, 46, -63, 25, -94, -48]
  Compare -50 and -64
  Swap -50 and -64
  List after swap: [-77, -61, -81, -64, -50, 46, -63, 25, -94, -48]
  Compare -50 and 46
  No swap needed
  Compare 46 and -63
  Swap 46 and -63
  List after swap: [-77, -61, -81, -64, -50, -63, 46, 25, -94, -48]
  Compare 46 and 25
  Swap 46 and 25
  List after swap: [-77, -61, -81, -64, -50, -63, 25, 46, -94, -48]
  Compare 46 and -94
  Swap 46 and -94
  List after swap: [-77, -61, -81, -64, -50, -63, 25, -94, 46, -48]
  Compare 46 and -48
  Swap 46 and -48
  List after swap: [-77, -61, -81, -64, -50, -63, 25, -94, -48, 46]

Pass 2:
  Compare -77 and -61
  No swap needed
  Compare -61 and -81
  Swap -61 and -81
  List after swap: [-77, -81, -61, -64, -50, -63, 25, -94, -48, 46]
  Compare -61 and -64
  Swap -61 and -64
  List after swap: [-77, -81, -64, -61, -50, -63, 25, -94, -48, 46]
  Compare -61 and -50
  No swap needed
  Compare -50 and -63
  Swap -50 and -63
  List after swap: [-77, -81, -64, -61, -63, -50, 25, -94, -48, 46]
  Compare -50 and 25
  No swap needed
  Compare 25 and -94
  Swap 25 and -94
  List after swap: [-77, -81, -64, -61, -63, -50, -94, 25, -48, 46]
  Compare 25 and -48
  Swap 25 and -48
  List after swap: [-77, -81, -64, -61, -63, -50, -94, -48, 25, 46]

Pass 3:
  Compare -77 and -81
  Swap -77 and -81
  List after swap: [-81, -77, -64, -61, -63, -50, -94, -48, 25, 46]
  Compare -77 and -64
  No swap needed
  Compare -64 and -61
  No swap needed
  Compare -61 and -63
  Swap -61 and -63
  List after swap: [-81, -77, -64, -63, -61, -50, -94, -48, 25, 46]
  Compare -61 and -50
  No swap needed
  Compare -50 and -94
  Swap -50 and -94
  List after swap: [-81, -77, -64, -63, -61, -94, -50, -48, 25, 46]
  Compare -50 and -48
  No swap needed

Pass 4:
  Compare -81 and -77
  No swap needed
  Compare -77 and -64
  No swap needed
  Compare -64 and -63
  No swap needed
  Compare -63 and -61
  No swap needed
  Compare -61 and -94
  Swap -61 and -94
  List after swap: [-81, -77, -64, -63, -94, -61, -50, -48, 25, 46]
  Compare -61 and -50
  No swap needed

Pass 5:
  Compare -81 and -77
  No swap needed
  Compare -77 and -64
  No swap needed
  Compare -64 and -63
  No swap needed
  Compare -63 and -94
  Swap -63 and -94
  List after swap: [-81, -77, -64, -94, -63, -61, -50, -48, 25, 46]
  Compare -63 and -61
  No swap needed

Pass 6:
  Compare -81 and -77
  No swap needed
  Compare -77 and -64
  No swap needed
  Compare -64 and -94
  Swap -64 and -94
  List after swap: [-81, -77, -94, -64, -63, -61, -50, -48, 25, 46]
  Compare -64 and -63
  No swap needed

Pass 7:
  Compare -81 and -77
  No swap needed
  Compare -77 and -94
  Swap -77 and -94
  List after swap: [-81, -94, -77, -64, -63, -61, -50, -48, 25, 46]
  Compare -77 and -64
  No swap needed

Pass 8:
  Compare -81 and -94
  Swap -81 and -94
  List after swap: [-94, -81, -77, -64, -63, -61, -50, -48, 25, 46]
  Compare -81 and -77
  No swap needed

Pass 9:
  Compare -94 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -81, -77, -64, -63, -61, -50, -48, 25, 46]
</think>

<response>-94, -81, -77, -64, -63, -61, -50, -48, 25, 46</response>


input: Implement bubble sort on -76, 91, -75, 41, -67, 93, -96 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-76, 91, -75, 41, -67, 93, -96]

Pass 1:
  Compare -76 and 91
  No swap needed
  Compare 91 and -75
  Swap 91 and -75
  List after swap: [-76, -75, 91, 41, -67, 93, -96]
  Compare 91 and 41
  Swap 91 and 41
  List after swap: [-76, -75, 41, 91, -67, 93, -96]
  Compare 91 and -67
  Swap 91 and -67
  List after swap: [-76, -75, 41, -67, 91, 93, -96]
  Compare 91 and 93
  No swap needed
  Compare 93 and -96
  Swap 93 and -96
  List after swap: [-76, -75, 41, -67, 91, -96, 93]

Pass 2:
  Compare -76 and -75
  No swap needed
  Compare -75 and 41
  No swap needed
  Compare 41 and -67
  Swap 41 and -67
  List after swap: [-76, -75, -67, 41, 91, -96, 93]
  Compare 41 and 91
  No swap needed
  Compare 91 and -96
  Swap 91 and -96
  List after swap: [-76, -75, -67, 41, -96, 91, 93]

Pass 3:
  Compare -76 and -75
  No swap needed
  Compare -75 and -67
  No swap needed
  Compare -67 and 41
  No swap needed
  Compare 41 and -96
  Swap 41 and -96
  List after swap: [-76, -75, -67, -96, 41, 91, 93]

Pass 4:
  Compare -76 and -75
  No swap needed
  Compare -75 and -67
  No swap needed
  Compare -67 and -96
  Swap -67 and -96
  List after swap: [-76, -75, -96, -67, 41, 91, 93]

Pass 5:
  Compare -76 and -75
  No swap needed
  Compare -75 and -96
  Swap -75 and -96
  List after swap: [-76, -96, -75, -67, 41, 91, 93]

Pass 6:
  Compare -76 and -96
  Swap -76 and -96
  List after swap: [-96, -76, -75, -67, 41, 91, 93]

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

Final sorted list: [-96, -76, -75, -67, 41, 91, 93]
</think>

<response>-96, -76, -75, -67, 41, 91, 93</response>


input: Arrange the numbers 63, 66, 79, 14 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [63, 66, 79, 14]

Pass 1:
  Compare 63 and 66
  No swap needed
  Compare 66 and 79
  No swap needed
  Compare 79 and 14
  Swap 79 and 14
  List after swap: [63, 66, 14, 79]

Pass 2:
  Compare 63 and 66
  No swap needed
  Compare 66 and 14
  Swap 66 and 14
  List after swap: [63, 14, 66, 79]

Pass 3:
  Compare 63 and 14
  Swap 63 and 14
  List after swap: [14, 63, 66, 79]

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

Final sorted list: [14, 63, 66, 79]
</think>

<response>14, 63, 66, 79</response>


input: Implement bubble sort on -13, 9, -55, -85, 3, -27 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-13, 9, -55, -85, 3, -27]

Pass 1:
  Compare -13 and 9
  No swap needed
  Compare 9 and -55
  Swap 9 and -55
  List after swap: [-13, -55, 9, -85, 3, -27]
  Compare 9 and -85
  Swap 9 and -85
  List after swap: [-13, -55, -85, 9, 3, -27]
  Compare 9 and 3
  Swap 9 and 3
  List after swap: [-13, -55, -85, 3, 9, -27]
  Compare 9 and -27
  Swap 9 and -27
  List after swap: [-13, -55, -85, 3, -27, 9]

Pass 2:
  Compare -13 and -55
  Swap -13 and -55
  List after swap: [-55, -13, -85, 3, -27, 9]
  Compare -13 and -85
  Swap -13 and -85
  List after swap: [-55, -85, -13, 3, -27, 9]
  Compare -13 and 3
  No swap needed
  Compare 3 and -27
  Swap 3 and -27
  List after swap: [-55, -85, -13, -27, 3, 9]

Pass 3:
  Compare -55 and -85
  Swap -55 and -85
  List after swap: [-85, -55, -13, -27, 3, 9]
  Compare -55 and -13
  No swap needed
  Compare -13 and -27
  Swap -13 and -27
  List after swap: [-85, -55, -27, -13, 3, 9]

Pass 4:
  Compare -85 and -55
  No swap needed
  Compare -55 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -55, -27, -13, 3, 9]
</think>

<response>-85, -55, -27, -13, 3, 9</response>


input: Using the bubble sort method, sort 43, -63, -72, -11, -2, -21, 13, -44 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [43, -63, -72, -11, -2, -21, 13, -44]

Pass 1:
  Compare 43 and -63
  Swap 43 and -63
  List after swap: [-63, 43, -72, -11, -2, -21, 13, -44]
  Compare 43 and -72
  Swap 43 and -72
  List after swap: [-63, -72, 43, -11, -2, -21, 13, -44]
  Compare 43 and -11
  Swap 43 and -11
  List after swap: [-63, -72, -11, 43, -2, -21, 13, -44]
  Compare 43 and -2
  Swap 43 and -2
  List after swap: [-63, -72, -11, -2, 43, -21, 13, -44]
  Compare 43 and -21
  Swap 43 and -21
  List after swap: [-63, -72, -11, -2, -21, 43, 13, -44]
  Compare 43 and 13
  Swap 43 and 13
  List after swap: [-63, -72, -11, -2, -21, 13, 43, -44]
  Compare 43 and -44
  Swap 43 and -44
  List after swap: [-63, -72, -11, -2, -21, 13, -44, 43]

Pass 2:
  Compare -63 and -72
  Swap -63 and -72
  List after swap: [-72, -63, -11, -2, -21, 13, -44, 43]
  Compare -63 and -11
  No swap needed
  Compare -11 and -2
  No swap needed
  Compare -2 and -21
  Swap -2 and -21
  List after swap: [-72, -63, -11, -21, -2, 13, -44, 43]
  Compare -2 and 13
  No swap needed
  Compare 13 and -44
  Swap 13 and -44
  List after swap: [-72, -63, -11, -21, -2, -44, 13, 43]

Pass 3:
  Compare -72 and -63
  No swap needed
  Compare -63 and -11
  No swap needed
  Compare -11 and -21
  Swap -11 and -21
  List after swap: [-72, -63, -21, -11, -2, -44, 13, 43]
  Compare -11 and -2
  No swap needed
  Compare -2 and -44
  Swap -2 and -44
  List after swap: [-72, -63, -21, -11, -44, -2, 13, 43]

Pass 4:
  Compare -72 and -63
  No swap needed
  Compare -63 and -21
  No swap needed
  Compare -21 and -11
  No swap needed
  Compare -11 and -44
  Swap -11 and -44
  List after swap: [-72, -63, -21, -44, -11, -2, 13, 43]

Pass 5:
  Compare -72 and -63
  No swap needed
  Compare -63 and -21
  No swap needed
  Compare -21 and -44
  Swap -21 and -44
  List after swap: [-72, -63, -44, -21, -11, -2, 13, 43]

Pass 6:
  Compare -72 and -63
  No swap needed
  Compare -63 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -63, -44, -21, -11, -2, 13, 43]
</think>

<response>-72, -63, -44, -21, -11, -2, 13, 43</response>


input: Perform a bubble sort on the integers 64, -4, -5, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [64, -4, -5]

Pass 1:
  Compare 64 and -4
  Swap 64 and -4
  List after swap: [-4, 64, -5]
  Compare 64 and -5
  Swap 64 and -5
  List after swap: [-4, -5, 64]

Pass 2:
  Compare -4 and -5
  Swap -4 and -5
  List after swap: [-5, -4, 64]

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

Final sorted list: [-5, -4, 64]
</think>

<response>-5, -4, 64</response>


input: Sort the list -65, 6, -59 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-65, 6, -59]

Pass 1:
  Compare -65 and 6
  No swap needed
  Compare 6 and -59
  Swap 6 and -59
  List after swap: [-65, -59, 6]

Pass 2:
  Compare -65 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -59, 6]
</think>

<response>-65, -59, 6</response>


input: Demonstrate how bubble sort orders the integers -85, -1, 97, -79, 13, -40 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-85, -1, 97, -79, 13, -40]

Pass 1:
  Compare -85 and -1
  No swap needed
  Compare -1 and 97
  No swap needed
  Compare 97 and -79
  Swap 97 and -79
  List after swap: [-85, -1, -79, 97, 13, -40]
  Compare 97 and 13
  Swap 97 and 13
  List after swap: [-85, -1, -79, 13, 97, -40]
  Compare 97 and -40
  Swap 97 and -40
  List after swap: [-85, -1, -79, 13, -40, 97]

Pass 2:
  Compare -85 and -1
  No swap needed
  Compare -1 and -79
  Swap -1 and -79
  List after swap: [-85, -79, -1, 13, -40, 97]
  Compare -1 and 13
  No swap needed
  Compare 13 and -40
  Swap 13 and -40
  List after swap: [-85, -79, -1, -40, 13, 97]

Pass 3:
  Compare -85 and -79
  No swap needed
  Compare -79 and -1
  No swap needed
  Compare -1 and -40
  Swap -1 and -40
  List after swap: [-85, -79, -40, -1, 13, 97]

Pass 4:
  Compare -85 and -79
  No swap needed
  Compare -79 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -79, -40, -1, 13, 97]
</think>

<response>-85, -79, -40, -1, 13, 97</response>


input: Use the bubble sort technique to reorder 84, -8, -55, 29, 10, -57, -69, 60, -3, 14 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [84, -8, -55, 29, 10, -57, -69, 60, -3, 14]

Pass 1:
  Compare 84 and -8
  Swap 84 and -8
  List after swap: [-8, 84, -55, 29, 10, -57, -69, 60, -3, 14]
  Compare 84 and -55
  Swap 84 and -55
  List after swap: [-8, -55, 84, 29, 10, -57, -69, 60, -3, 14]
  Compare 84 and 29
  Swap 84 and 29
  List after swap: [-8, -55, 29, 84, 10, -57, -69, 60, -3, 14]
  Compare 84 and 10
  Swap 84 and 10
  List after swap: [-8, -55, 29, 10, 84, -57, -69, 60, -3, 14]
  Compare 84 and -57
  Swap 84 and -57
  List after swap: [-8, -55, 29, 10, -57, 84, -69, 60, -3, 14]
  Compare 84 and -69
  Swap 84 and -69
  List after swap: [-8, -55, 29, 10, -57, -69, 84, 60, -3, 14]
  Compare 84 and 60
  Swap 84 and 60
  List after swap: [-8, -55, 29, 10, -57, -69, 60, 84, -3, 14]
  Compare 84 and -3
  Swap 84 and -3
  List after swap: [-8, -55, 29, 10, -57, -69, 60, -3, 84, 14]
  Compare 84 and 14
  Swap 84 and 14
  List after swap: [-8, -55, 29, 10, -57, -69, 60, -3, 14, 84]

Pass 2:
  Compare -8 and -55
  Swap -8 and -55
  List after swap: [-55, -8, 29, 10, -57, -69, 60, -3, 14, 84]
  Compare -8 and 29
  No swap needed
  Compare 29 and 10
  Swap 29 and 10
  List after swap: [-55, -8, 10, 29, -57, -69, 60, -3, 14, 84]
  Compare 29 and -57
  Swap 29 and -57
  List after swap: [-55, -8, 10, -57, 29, -69, 60, -3, 14, 84]
  Compare 29 and -69
  Swap 29 and -69
  List after swap: [-55, -8, 10, -57, -69, 29, 60, -3, 14, 84]
  Compare 29 and 60
  No swap needed
  Compare 60 and -3
  Swap 60 and -3
  List after swap: [-55, -8, 10, -57, -69, 29, -3, 60, 14, 84]
  Compare 60 and 14
  Swap 60 and 14
  List after swap: [-55, -8, 10, -57, -69, 29, -3, 14, 60, 84]

Pass 3:
  Compare -55 and -8
  No swap needed
  Compare -8 and 10
  No swap needed
  Compare 10 and -57
  Swap 10 and -57
  List after swap: [-55, -8, -57, 10, -69, 29, -3, 14, 60, 84]
  Compare 10 and -69
  Swap 10 and -69
  List after swap: [-55, -8, -57, -69, 10, 29, -3, 14, 60, 84]
  Compare 10 and 29
  No swap needed
  Compare 29 and -3
  Swap 29 and -3
  List after swap: [-55, -8, -57, -69, 10, -3, 29, 14, 60, 84]
  Compare 29 and 14
  Swap 29 and 14
  List after swap: [-55, -8, -57, -69, 10, -3, 14, 29, 60, 84]

Pass 4:
  Compare -55 and -8
  No swap needed
  Compare -8 and -57
  Swap -8 and -57
  List after swap: [-55, -57, -8, -69, 10, -3, 14, 29, 60, 84]
  Compare -8 and -69
  Swap -8 and -69
  List after swap: [-55, -57, -69, -8, 10, -3, 14, 29, 60, 84]
  Compare -8 and 10
  No swap needed
  Compare 10 and -3
  Swap 10 and -3
  List after swap: [-55, -57, -69, -8, -3, 10, 14, 29, 60, 84]
  Compare 10 and 14
  No swap needed

Pass 5:
  Compare -55 and -57
  Swap -55 and -57
  List after swap: [-57, -55, -69, -8, -3, 10, 14, 29, 60, 84]
  Compare -55 and -69
  Swap -55 and -69
  List after swap: [-57, -69, -55, -8, -3, 10, 14, 29, 60, 84]
  Compare -55 and -8
  No swap needed
  Compare -8 and -3
  No swap needed
  Compare -3 and 10
  No swap needed

Pass 6:
  Compare -57 and -69
  Swap -57 and -69
  List after swap: [-69, -57, -55, -8, -3, 10, 14, 29, 60, 84]
  Compare -57 and -55
  No swap needed
  Compare -55 and -8
  No swap needed
  Compare -8 and -3
  No swap needed

Pass 7:
  Compare -69 and -57
  No swap needed
  Compare -57 and -55
  No swap needed
  Compare -55 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -57, -55, -8, -3, 10, 14, 29, 60, 84]
</think>

<response>-69, -57, -55, -8, -3, 10, 14, 29, 60, 84</response>


input: Arrange the numbers -68, -58, 88, -81, 19 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-68, -58, 88, -81, 19]

Pass 1:
  Compare -68 and -58
  No swap needed
  Compare -58 and 88
  No swap needed
  Compare 88 and -81
  Swap 88 and -81
  List after swap: [-68, -58, -81, 88, 19]
  Compare 88 and 19
  Swap 88 and 19
  List after swap: [-68, -58, -81, 19, 88]

Pass 2:
  Compare -68 and -58
  No swap needed
  Compare -58 and -81
  Swap -58 and -81
  List after swap: [-68, -81, -58, 19, 88]
  Compare -58 and 19
  No swap needed

Pass 3:
  Compare -68 and -81
  Swap -68 and -81
  List after swap: [-81, -68, -58, 19, 88]
  Compare -68 and -58
  No swap needed

Pass 4:
  Compare -81 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -68, -58, 19, 88]
</think>

<response>-81, -68, -58, 19, 88</response>


input: Use the bubble sort technique to reorder 25, -59, -2 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [25, -59, -2]

Pass 1:
  Compare 25 and -59
  Swap 25 and -59
  List after swap: [-59, 25, -2]
  Compare 25 and -2
  Swap 25 and -2
  List after swap: [-59, -2, 25]

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

Final sorted list: [-59, -2, 25]
</think>

<response>-59, -2, 25</response>


input: Sort these integers 39, -54, 30, 91, 61, -35, 32, -50, 20 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [39, -54, 30, 91, 61, -35, 32, -50, 20]

Pass 1:
  Compare 39 and -54
  Swap 39 and -54
  List after swap: [-54, 39, 30, 91, 61, -35, 32, -50, 20]
  Compare 39 and 30
  Swap 39 and 30
  List after swap: [-54, 30, 39, 91, 61, -35, 32, -50, 20]
  Compare 39 and 91
  No swap needed
  Compare 91 and 61
  Swap 91 and 61
  List after swap: [-54, 30, 39, 61, 91, -35, 32, -50, 20]
  Compare 91 and -35
  Swap 91 and -35
  List after swap: [-54, 30, 39, 61, -35, 91, 32, -50, 20]
  Compare 91 and 32
  Swap 91 and 32
  List after swap: [-54, 30, 39, 61, -35, 32, 91, -50, 20]
  Compare 91 and -50
  Swap 91 and -50
  List after swap: [-54, 30, 39, 61, -35, 32, -50, 91, 20]
  Compare 91 and 20
  Swap 91 and 20
  List after swap: [-54, 30, 39, 61, -35, 32, -50, 20, 91]

Pass 2:
  Compare -54 and 30
  No swap needed
  Compare 30 and 39
  No swap needed
  Compare 39 and 61
  No swap needed
  Compare 61 and -35
  Swap 61 and -35
  List after swap: [-54, 30, 39, -35, 61, 32, -50, 20, 91]
  Compare 61 and 32
  Swap 61 and 32
  List after swap: [-54, 30, 39, -35, 32, 61, -50, 20, 91]
  Compare 61 and -50
  Swap 61 and -50
  List after swap: [-54, 30, 39, -35, 32, -50, 61, 20, 91]
  Compare 61 and 20
  Swap 61 and 20
  List after swap: [-54, 30, 39, -35, 32, -50, 20, 61, 91]

Pass 3:
  Compare -54 and 30
  No swap needed
  Compare 30 and 39
  No swap needed
  Compare 39 and -35
  Swap 39 and -35
  List after swap: [-54, 30, -35, 39, 32, -50, 20, 61, 91]
  Compare 39 and 32
  Swap 39 and 32
  List after swap: [-54, 30, -35, 32, 39, -50, 20, 61, 91]
  Compare 39 and -50
  Swap 39 and -50
  List after swap: [-54, 30, -35, 32, -50, 39, 20, 61, 91]
  Compare 39 and 20
  Swap 39 and 20
  List after swap: [-54, 30, -35, 32, -50, 20, 39, 61, 91]

Pass 4:
  Compare -54 and 30
  No swap needed
  Compare 30 and -35
  Swap 30 and -35
  List after swap: [-54, -35, 30, 32, -50, 20, 39, 61, 91]
  Compare 30 and 32
  No swap needed
  Compare 32 and -50
  Swap 32 and -50
  List after swap: [-54, -35, 30, -50, 32, 20, 39, 61, 91]
  Compare 32 and 20
  Swap 32 and 20
  List after swap: [-54, -35, 30, -50, 20, 32, 39, 61, 91]

Pass 5:
  Compare -54 and -35
  No swap needed
  Compare -35 and 30
  No swap needed
  Compare 30 and -50
  Swap 30 and -50
  List after swap: [-54, -35, -50, 30, 20, 32, 39, 61, 91]
  Compare 30 and 20
  Swap 30 and 20
  List after swap: [-54, -35, -50, 20, 30, 32, 39, 61, 91]

Pass 6:
  Compare -54 and -35
  No swap needed
  Compare -35 and -50
  Swap -35 and -50
  List after swap: [-54, -50, -35, 20, 30, 32, 39, 61, 91]
  Compare -35 and 20
  No swap needed

Pass 7:
  Compare -54 and -50
  No swap needed
  Compare -50 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -50, -35, 20, 30, 32, 39, 61, 91]
</think>

<response>-54, -50, -35, 20, 30, 32, 39, 61, 91</response>


input: Use the bubble sort technique to reorder -36, 66, 18 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-36, 66, 18]

Pass 1:
  Compare -36 and 66
  No swap needed
  Compare 66 and 18
  Swap 66 and 18
  List after swap: [-36, 18, 66]

Pass 2:
  Compare -36 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, 18, 66]
</think>

<response>-36, 18, 66</response>


input: Arrange the numbers -88, -21, -51, 8, -98, -25 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-88, -21, -51, 8, -98, -25]

Pass 1:
  Compare -88 and -21
  No swap needed
  Compare -21 and -51
  Swap -21 and -51
  List after swap: [-88, -51, -21, 8, -98, -25]
  Compare -21 and 8
  No swap needed
  Compare 8 and -98
  Swap 8 and -98
  List after swap: [-88, -51, -21, -98, 8, -25]
  Compare 8 and -25
  Swap 8 and -25
  List after swap: [-88, -51, -21, -98, -25, 8]

Pass 2:
  Compare -88 and -51
  No swap needed
  Compare -51 and -21
  No swap needed
  Compare -21 and -98
  Swap -21 and -98
  List after swap: [-88, -51, -98, -21, -25, 8]
  Compare -21 and -25
  Swap -21 and -25
  List after swap: [-88, -51, -98, -25, -21, 8]

Pass 3:
  Compare -88 and -51
  No swap needed
  Compare -51 and -98
  Swap -51 and -98
  List after swap: [-88, -98, -51, -25, -21, 8]
  Compare -51 and -25
  No swap needed

Pass 4:
  Compare -88 and -98
  Swap -88 and -98
  List after swap: [-98, -88, -51, -25, -21, 8]
  Compare -88 and -51
  No swap needed

Pass 5:
  Compare -98 and -88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -88, -51, -25, -21, 8]
</think>

<response>-98, -88, -51, -25, -21, 8</response>


input: Arrange the numbers -58, 52, -84, 96, 98, -98, 29, -69 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-58, 52, -84, 96, 98, -98, 29, -69]

Pass 1:
  Compare -58 and 52
  No swap needed
  Compare 52 and -84
  Swap 52 and -84
  List after swap: [-58, -84, 52, 96, 98, -98, 29, -69]
  Compare 52 and 96
  No swap needed
  Compare 96 and 98
  No swap needed
  Compare 98 and -98
  Swap 98 and -98
  List after swap: [-58, -84, 52, 96, -98, 98, 29, -69]
  Compare 98 and 29
  Swap 98 and 29
  List after swap: [-58, -84, 52, 96, -98, 29, 98, -69]
  Compare 98 and -69
  Swap 98 and -69
  List after swap: [-58, -84, 52, 96, -98, 29, -69, 98]

Pass 2:
  Compare -58 and -84
  Swap -58 and -84
  List after swap: [-84, -58, 52, 96, -98, 29, -69, 98]
  Compare -58 and 52
  No swap needed
  Compare 52 and 96
  No swap needed
  Compare 96 and -98
  Swap 96 and -98
  List after swap: [-84, -58, 52, -98, 96, 29, -69, 98]
  Compare 96 and 29
  Swap 96 and 29
  List after swap: [-84, -58, 52, -98, 29, 96, -69, 98]
  Compare 96 and -69
  Swap 96 and -69
  List after swap: [-84, -58, 52, -98, 29, -69, 96, 98]

Pass 3:
  Compare -84 and -58
  No swap needed
  Compare -58 and 52
  No swap needed
  Compare 52 and -98
  Swap 52 and -98
  List after swap: [-84, -58, -98, 52, 29, -69, 96, 98]
  Compare 52 and 29
  Swap 52 and 29
  List after swap: [-84, -58, -98, 29, 52, -69, 96, 98]
  Compare 52 and -69
  Swap 52 and -69
  List after swap: [-84, -58, -98, 29, -69, 52, 96, 98]

Pass 4:
  Compare -84 and -58
  No swap needed
  Compare -58 and -98
  Swap -58 and -98
  List after swap: [-84, -98, -58, 29, -69, 52, 96, 98]
  Compare -58 and 29
  No swap needed
  Compare 29 and -69
  Swap 29 and -69
  List after swap: [-84, -98, -58, -69, 29, 52, 96, 98]

Pass 5:
  Compare -84 and -98
  Swap -84 and -98
  List after swap: [-98, -84, -58, -69, 29, 52, 96, 98]
  Compare -84 and -58
  No swap needed
  Compare -58 and -69
  Swap -58 and -69
  List after swap: [-98, -84, -69, -58, 29, 52, 96, 98]

Pass 6:
  Compare -98 and -84
  No swap needed
  Compare -84 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -84, -69, -58, 29, 52, 96, 98]
</think>

<response>-98, -84, -69, -58, 29, 52, 96, 98</response>


input: Execute bubble sort to sort 31, 7, -89, 81, 46, -96, -92, -35, 56 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [31, 7, -89, 81, 46, -96, -92, -35, 56]

Pass 1:
  Compare 31 and 7
  Swap 31 and 7
  List after swap: [7, 31, -89, 81, 46, -96, -92, -35, 56]
  Compare 31 and -89
  Swap 31 and -89
  List after swap: [7, -89, 31, 81, 46, -96, -92, -35, 56]
  Compare 31 and 81
  No swap needed
  Compare 81 and 46
  Swap 81 and 46
  List after swap: [7, -89, 31, 46, 81, -96, -92, -35, 56]
  Compare 81 and -96
  Swap 81 and -96
  List after swap: [7, -89, 31, 46, -96, 81, -92, -35, 56]
  Compare 81 and -92
  Swap 81 and -92
  List after swap: [7, -89, 31, 46, -96, -92, 81, -35, 56]
  Compare 81 and -35
  Swap 81 and -35
  List after swap: [7, -89, 31, 46, -96, -92, -35, 81, 56]
  Compare 81 and 56
  Swap 81 and 56
  List after swap: [7, -89, 31, 46, -96, -92, -35, 56, 81]

Pass 2:
  Compare 7 and -89
  Swap 7 and -89
  List after swap: [-89, 7, 31, 46, -96, -92, -35, 56, 81]
  Compare 7 and 31
  No swap needed
  Compare 31 and 46
  No swap needed
  Compare 46 and -96
  Swap 46 and -96
  List after swap: [-89, 7, 31, -96, 46, -92, -35, 56, 81]
  Compare 46 and -92
  Swap 46 and -92
  List after swap: [-89, 7, 31, -96, -92, 46, -35, 56, 81]
  Compare 46 and -35
  Swap 46 and -35
  List after swap: [-89, 7, 31, -96, -92, -35, 46, 56, 81]
  Compare 46 and 56
  No swap needed

Pass 3:
  Compare -89 and 7
  No swap needed
  Compare 7 and 31
  No swap needed
  Compare 31 and -96
  Swap 31 and -96
  List after swap: [-89, 7, -96, 31, -92, -35, 46, 56, 81]
  Compare 31 and -92
  Swap 31 and -92
  List after swap: [-89, 7, -96, -92, 31, -35, 46, 56, 81]
  Compare 31 and -35
  Swap 31 and -35
  List after swap: [-89, 7, -96, -92, -35, 31, 46, 56, 81]
  Compare 31 and 46
  No swap needed

Pass 4:
  Compare -89 and 7
  No swap needed
  Compare 7 and -96
  Swap 7 and -96
  List after swap: [-89, -96, 7, -92, -35, 31, 46, 56, 81]
  Compare 7 and -92
  Swap 7 and -92
  List after swap: [-89, -96, -92, 7, -35, 31, 46, 56, 81]
  Compare 7 and -35
  Swap 7 and -35
  List after swap: [-89, -96, -92, -35, 7, 31, 46, 56, 81]
  Compare 7 and 31
  No swap needed

Pass 5:
  Compare -89 and -96
  Swap -89 and -96
  List after swap: [-96, -89, -92, -35, 7, 31, 46, 56, 81]
  Compare -89 and -92
  Swap -89 and -92
  List after swap: [-96, -92, -89, -35, 7, 31, 46, 56, 81]
  Compare -89 and -35
  No swap needed
  Compare -35 and 7
  No swap needed

Pass 6:
  Compare -96 and -92
  No swap needed
  Compare -92 and -89
  No swap needed
  Compare -89 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -92, -89, -35, 7, 31, 46, 56, 81]
</think>

<response>-96, -92, -89, -35, 7, 31, 46, 56, 81</response>


input: Demonstrate how bubble sort orders the integers -44, 70 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-44, 70]

Pass 1:
  Compare -44 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, 70]
</think>

<response>-44, 70</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 24, 31.

output:
<think>
Initial list: [24, 31]

Pass 1:
  Compare 24 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [24, 31]
</think>

<response>24, 31</response>


input: Perform a bubble sort on the integers -52, -41, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-52, -41]

Pass 1:
  Compare -52 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -41]
</think>

<response>-52, -41</response>


input: Sort these integers -67, 28 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-67, 28]

Pass 1:
  Compare -67 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, 28]
</think>

<response>-67, 28</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 82, -52, 92.

output:
<think>
Initial list: [82, -52, 92]

Pass 1:
  Compare 82 and -52
  Swap 82 and -52
  List after swap: [-52, 82, 92]
  Compare 82 and 92
  No swap needed

Pass 2:
  Compare -52 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, 82, 92]
</think>

<response>-52, 82, 92</response>


input: Perform a bubble sort on the integers -53, -78, -29, -60, -15, 64, 36, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-53, -78, -29, -60, -15, 64, 36]

Pass 1:
  Compare -53 and -78
  Swap -53 and -78
  List after swap: [-78, -53, -29, -60, -15, 64, 36]
  Compare -53 and -29
  No swap needed
  Compare -29 and -60
  Swap -29 and -60
  List after swap: [-78, -53, -60, -29, -15, 64, 36]
  Compare -29 and -15
  No swap needed
  Compare -15 and 64
  No swap needed
  Compare 64 and 36
  Swap 64 and 36
  List after swap: [-78, -53, -60, -29, -15, 36, 64]

Pass 2:
  Compare -78 and -53
  No swap needed
  Compare -53 and -60
  Swap -53 and -60
  List after swap: [-78, -60, -53, -29, -15, 36, 64]
  Compare -53 and -29
  No swap needed
  Compare -29 and -15
  No swap needed
  Compare -15 and 36
  No swap needed

Pass 3:
  Compare -78 and -60
  No swap needed
  Compare -60 and -53
  No swap needed
  Compare -53 and -29
  No swap needed
  Compare -29 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -60, -53, -29, -15, 36, 64]
</think>

<response>-78, -60, -53, -29, -15, 36, 64</response>


input: Arrange the numbers -66, 2, -21, -92, -64, -27, -4, -89 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-66, 2, -21, -92, -64, -27, -4, -89]

Pass 1:
  Compare -66 and 2
  No swap needed
  Compare 2 and -21
  Swap 2 and -21
  List after swap: [-66, -21, 2, -92, -64, -27, -4, -89]
  Compare 2 and -92
  Swap 2 and -92
  List after swap: [-66, -21, -92, 2, -64, -27, -4, -89]
  Compare 2 and -64
  Swap 2 and -64
  List after swap: [-66, -21, -92, -64, 2, -27, -4, -89]
  Compare 2 and -27
  Swap 2 and -27
  List after swap: [-66, -21, -92, -64, -27, 2, -4, -89]
  Compare 2 and -4
  Swap 2 and -4
  List after swap: [-66, -21, -92, -64, -27, -4, 2, -89]
  Compare 2 and -89
  Swap 2 and -89
  List after swap: [-66, -21, -92, -64, -27, -4, -89, 2]

Pass 2:
  Compare -66 and -21
  No swap needed
  Compare -21 and -92
  Swap -21 and -92
  List after swap: [-66, -92, -21, -64, -27, -4, -89, 2]
  Compare -21 and -64
  Swap -21 and -64
  List after swap: [-66, -92, -64, -21, -27, -4, -89, 2]
  Compare -21 and -27
  Swap -21 and -27
  List after swap: [-66, -92, -64, -27, -21, -4, -89, 2]
  Compare -21 and -4
  No swap needed
  Compare -4 and -89
  Swap -4 and -89
  List after swap: [-66, -92, -64, -27, -21, -89, -4, 2]

Pass 3:
  Compare -66 and -92
  Swap -66 and -92
  List after swap: [-92, -66, -64, -27, -21, -89, -4, 2]
  Compare -66 and -64
  No swap needed
  Compare -64 and -27
  No swap needed
  Compare -27 and -21
  No swap needed
  Compare -21 and -89
  Swap -21 and -89
  List after swap: [-92, -66, -64, -27, -89, -21, -4, 2]

Pass 4:
  Compare -92 and -66
  No swap needed
  Compare -66 and -64
  No swap needed
  Compare -64 and -27
  No swap needed
  Compare -27 and -89
  Swap -27 and -89
  List after swap: [-92, -66, -64, -89, -27, -21, -4, 2]

Pass 5:
  Compare -92 and -66
  No swap needed
  Compare -66 and -64
  No swap needed
  Compare -64 and -89
  Swap -64 and -89
  List after swap: [-92, -66, -89, -64, -27, -21, -4, 2]

Pass 6:
  Compare -92 and -66
  No swap needed
  Compare -66 and -89
  Swap -66 and -89
  List after swap: [-92, -89, -66, -64, -27, -21, -4, 2]

Pass 7:
  Compare -92 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -89, -66, -64, -27, -21, -4, 2]
</think>

<response>-92, -89, -66, -64, -27, -21, -4, 2</response>


input: Use the bubble sort technique to reorder 97, -3, 48, 74 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [97, -3, 48, 74]

Pass 1:
  Compare 97 and -3
  Swap 97 and -3
  List after swap: [-3, 97, 48, 74]
  Compare 97 and 48
  Swap 97 and 48
  List after swap: [-3, 48, 97, 74]
  Compare 97 and 74
  Swap 97 and 74
  List after swap: [-3, 48, 74, 97]

Pass 2:
  Compare -3 and 48
  No swap needed
  Compare 48 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-3, 48, 74, 97]
</think>

<response>-3, 48, 74, 97</response>


input: Carry out the bubble sort algorithm on -84, 61, -74 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-84, 61, -74]

Pass 1:
  Compare -84 and 61
  No swap needed
  Compare 61 and -74
  Swap 61 and -74
  List after swap: [-84, -74, 61]

Pass 2:
  Compare -84 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -74, 61]
</think>

<response>-84, -74, 61</response>


input: Perform a bubble sort on the integers -30, -83, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-30, -83]

Pass 1:
  Compare -30 and -83
  Swap -30 and -83
  List after swap: [-83, -30]

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

Final sorted list: [-83, -30]
</think>

<response>-83, -30</response>


input: Implement bubble sort on 1, -53, -32, 4 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [1, -53, -32, 4]

Pass 1:
  Compare 1 and -53
  Swap 1 and -53
  List after swap: [-53, 1, -32, 4]
  Compare 1 and -32
  Swap 1 and -32
  List after swap: [-53, -32, 1, 4]
  Compare 1 and 4
  No swap needed

Pass 2:
  Compare -53 and -32
  No swap needed
  Compare -32 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -32, 1, 4]
</think>

<response>-53, -32, 1, 4</response>


input: Use the bubble sort technique to reorder 7, -70, -74, -28, -42, 98, 57 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [7, -70, -74, -28, -42, 98, 57]

Pass 1:
  Compare 7 and -70
  Swap 7 and -70
  List after swap: [-70, 7, -74, -28, -42, 98, 57]
  Compare 7 and -74
  Swap 7 and -74
  List after swap: [-70, -74, 7, -28, -42, 98, 57]
  Compare 7 and -28
  Swap 7 and -28
  List after swap: [-70, -74, -28, 7, -42, 98, 57]
  Compare 7 and -42
  Swap 7 and -42
  List after swap: [-70, -74, -28, -42, 7, 98, 57]
  Compare 7 and 98
  No swap needed
  Compare 98 and 57
  Swap 98 and 57
  List after swap: [-70, -74, -28, -42, 7, 57, 98]

Pass 2:
  Compare -70 and -74
  Swap -70 and -74
  List after swap: [-74, -70, -28, -42, 7, 57, 98]
  Compare -70 and -28
  No swap needed
  Compare -28 and -42
  Swap -28 and -42
  List after swap: [-74, -70, -42, -28, 7, 57, 98]
  Compare -28 and 7
  No swap needed
  Compare 7 and 57
  No swap needed

Pass 3:
  Compare -74 and -70
  No swap needed
  Compare -70 and -42
  No swap needed
  Compare -42 and -28
  No swap needed
  Compare -28 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -70, -42, -28, 7, 57, 98]
</think>

<response>-74, -70, -42, -28, 7, 57, 98</response>


input: Implement bubble sort on 56, -85, -50 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [56, -85, -50]

Pass 1:
  Compare 56 and -85
  Swap 56 and -85
  List after swap: [-85, 56, -50]
  Compare 56 and -50
  Swap 56 and -50
  List after swap: [-85, -50, 56]

Pass 2:
  Compare -85 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -50, 56]
</think>

<response>-85, -50, 56</response>


input: Demonstrate how bubble sort orders the integers -18, -49, -97, -39, -86, 97, 30 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-18, -49, -97, -39, -86, 97, 30]

Pass 1:
  Compare -18 and -49
  Swap -18 and -49
  List after swap: [-49, -18, -97, -39, -86, 97, 30]
  Compare -18 and -97
  Swap -18 and -97
  List after swap: [-49, -97, -18, -39, -86, 97, 30]
  Compare -18 and -39
  Swap -18 and -39
  List after swap: [-49, -97, -39, -18, -86, 97, 30]
  Compare -18 and -86
  Swap -18 and -86
  List after swap: [-49, -97, -39, -86, -18, 97, 30]
  Compare -18 and 97
  No swap needed
  Compare 97 and 30
  Swap 97 and 30
  List after swap: [-49, -97, -39, -86, -18, 30, 97]

Pass 2:
  Compare -49 and -97
  Swap -49 and -97
  List after swap: [-97, -49, -39, -86, -18, 30, 97]
  Compare -49 and -39
  No swap needed
  Compare -39 and -86
  Swap -39 and -86
  List after swap: [-97, -49, -86, -39, -18, 30, 97]
  Compare -39 and -18
  No swap needed
  Compare -18 and 30
  No swap needed

Pass 3:
  Compare -97 and -49
  No swap needed
  Compare -49 and -86
  Swap -49 and -86
  List after swap: [-97, -86, -49, -39, -18, 30, 97]
  Compare -49 and -39
  No swap needed
  Compare -39 and -18
  No swap needed

Pass 4:
  Compare -97 and -86
  No swap needed
  Compare -86 and -49
  No swap needed
  Compare -49 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -86, -49, -39, -18, 30, 97]
</think>

<response>-97, -86, -49, -39, -18, 30, 97</response>


input: Use the bubble sort technique to reorder -90, -85, 41, 88, -60, 64, 24, 90, 17, 82 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-90, -85, 41, 88, -60, 64, 24, 90, 17, 82]

Pass 1:
  Compare -90 and -85
  No swap needed
  Compare -85 and 41
  No swap needed
  Compare 41 and 88
  No swap needed
  Compare 88 and -60
  Swap 88 and -60
  List after swap: [-90, -85, 41, -60, 88, 64, 24, 90, 17, 82]
  Compare 88 and 64
  Swap 88 and 64
  List after swap: [-90, -85, 41, -60, 64, 88, 24, 90, 17, 82]
  Compare 88 and 24
  Swap 88 and 24
  List after swap: [-90, -85, 41, -60, 64, 24, 88, 90, 17, 82]
  Compare 88 and 90
  No swap needed
  Compare 90 and 17
  Swap 90 and 17
  List after swap: [-90, -85, 41, -60, 64, 24, 88, 17, 90, 82]
  Compare 90 and 82
  Swap 90 and 82
  List after swap: [-90, -85, 41, -60, 64, 24, 88, 17, 82, 90]

Pass 2:
  Compare -90 and -85
  No swap needed
  Compare -85 and 41
  No swap needed
  Compare 41 and -60
  Swap 41 and -60
  List after swap: [-90, -85, -60, 41, 64, 24, 88, 17, 82, 90]
  Compare 41 and 64
  No swap needed
  Compare 64 and 24
  Swap 64 and 24
  List after swap: [-90, -85, -60, 41, 24, 64, 88, 17, 82, 90]
  Compare 64 and 88
  No swap needed
  Compare 88 and 17
  Swap 88 and 17
  List after swap: [-90, -85, -60, 41, 24, 64, 17, 88, 82, 90]
  Compare 88 and 82
  Swap 88 and 82
  List after swap: [-90, -85, -60, 41, 24, 64, 17, 82, 88, 90]

Pass 3:
  Compare -90 and -85
  No swap needed
  Compare -85 and -60
  No swap needed
  Compare -60 and 41
  No swap needed
  Compare 41 and 24
  Swap 41 and 24
  List after swap: [-90, -85, -60, 24, 41, 64, 17, 82, 88, 90]
  Compare 41 and 64
  No swap needed
  Compare 64 and 17
  Swap 64 and 17
  List after swap: [-90, -85, -60, 24, 41, 17, 64, 82, 88, 90]
  Compare 64 and 82
  No swap needed

Pass 4:
  Compare -90 and -85
  No swap needed
  Compare -85 and -60
  No swap needed
  Compare -60 and 24
  No swap needed
  Compare 24 and 41
  No swap needed
  Compare 41 and 17
  Swap 41 and 17
  List after swap: [-90, -85, -60, 24, 17, 41, 64, 82, 88, 90]
  Compare 41 and 64
  No swap needed

Pass 5:
  Compare -90 and -85
  No swap needed
  Compare -85 and -60
  No swap needed
  Compare -60 and 24
  No swap needed
  Compare 24 and 17
  Swap 24 and 17
  List after swap: [-90, -85, -60, 17, 24, 41, 64, 82, 88, 90]
  Compare 24 and 41
  No swap needed

Pass 6:
  Compare -90 and -85
  No swap needed
  Compare -85 and -60
  No swap needed
  Compare -60 and 17
  No swap needed
  Compare 17 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -85, -60, 17, 24, 41, 64, 82, 88, 90]
</think>

<response>-90, -85, -60, 17, 24, 41, 64, 82, 88, 90</response>