input: Sort the list 9, 99, 97, -13, -77, 33, -52, -47, 30, -94 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [9, 99, 97, -13, -77, 33, -52, -47, 30, -94]

Pass 1:
  Compare 9 and 99
  No swap needed
  Compare 99 and 97
  Swap 99 and 97
  List after swap: [9, 97, 99, -13, -77, 33, -52, -47, 30, -94]
  Compare 99 and -13
  Swap 99 and -13
  List after swap: [9, 97, -13, 99, -77, 33, -52, -47, 30, -94]
  Compare 99 and -77
  Swap 99 and -77
  List after swap: [9, 97, -13, -77, 99, 33, -52, -47, 30, -94]
  Compare 99 and 33
  Swap 99 and 33
  List after swap: [9, 97, -13, -77, 33, 99, -52, -47, 30, -94]
  Compare 99 and -52
  Swap 99 and -52
  List after swap: [9, 97, -13, -77, 33, -52, 99, -47, 30, -94]
  Compare 99 and -47
  Swap 99 and -47
  List after swap: [9, 97, -13, -77, 33, -52, -47, 99, 30, -94]
  Compare 99 and 30
  Swap 99 and 30
  List after swap: [9, 97, -13, -77, 33, -52, -47, 30, 99, -94]
  Compare 99 and -94
  Swap 99 and -94
  List after swap: [9, 97, -13, -77, 33, -52, -47, 30, -94, 99]

Pass 2:
  Compare 9 and 97
  No swap needed
  Compare 97 and -13
  Swap 97 and -13
  List after swap: [9, -13, 97, -77, 33, -52, -47, 30, -94, 99]
  Compare 97 and -77
  Swap 97 and -77
  List after swap: [9, -13, -77, 97, 33, -52, -47, 30, -94, 99]
  Compare 97 and 33
  Swap 97 and 33
  List after swap: [9, -13, -77, 33, 97, -52, -47, 30, -94, 99]
  Compare 97 and -52
  Swap 97 and -52
  List after swap: [9, -13, -77, 33, -52, 97, -47, 30, -94, 99]
  Compare 97 and -47
  Swap 97 and -47
  List after swap: [9, -13, -77, 33, -52, -47, 97, 30, -94, 99]
  Compare 97 and 30
  Swap 97 and 30
  List after swap: [9, -13, -77, 33, -52, -47, 30, 97, -94, 99]
  Compare 97 and -94
  Swap 97 and -94
  List after swap: [9, -13, -77, 33, -52, -47, 30, -94, 97, 99]

Pass 3:
  Compare 9 and -13
  Swap 9 and -13
  List after swap: [-13, 9, -77, 33, -52, -47, 30, -94, 97, 99]
  Compare 9 and -77
  Swap 9 and -77
  List after swap: [-13, -77, 9, 33, -52, -47, 30, -94, 97, 99]
  Compare 9 and 33
  No swap needed
  Compare 33 and -52
  Swap 33 and -52
  List after swap: [-13, -77, 9, -52, 33, -47, 30, -94, 97, 99]
  Compare 33 and -47
  Swap 33 and -47
  List after swap: [-13, -77, 9, -52, -47, 33, 30, -94, 97, 99]
  Compare 33 and 30
  Swap 33 and 30
  List after swap: [-13, -77, 9, -52, -47, 30, 33, -94, 97, 99]
  Compare 33 and -94
  Swap 33 and -94
  List after swap: [-13, -77, 9, -52, -47, 30, -94, 33, 97, 99]

Pass 4:
  Compare -13 and -77
  Swap -13 and -77
  List after swap: [-77, -13, 9, -52, -47, 30, -94, 33, 97, 99]
  Compare -13 and 9
  No swap needed
  Compare 9 and -52
  Swap 9 and -52
  List after swap: [-77, -13, -52, 9, -47, 30, -94, 33, 97, 99]
  Compare 9 and -47
  Swap 9 and -47
  List after swap: [-77, -13, -52, -47, 9, 30, -94, 33, 97, 99]
  Compare 9 and 30
  No swap needed
  Compare 30 and -94
  Swap 30 and -94
  List after swap: [-77, -13, -52, -47, 9, -94, 30, 33, 97, 99]

Pass 5:
  Compare -77 and -13
  No swap needed
  Compare -13 and -52
  Swap -13 and -52
  List after swap: [-77, -52, -13, -47, 9, -94, 30, 33, 97, 99]
  Compare -13 and -47
  Swap -13 and -47
  List after swap: [-77, -52, -47, -13, 9, -94, 30, 33, 97, 99]
  Compare -13 and 9
  No swap needed
  Compare 9 and -94
  Swap 9 and -94
  List after swap: [-77, -52, -47, -13, -94, 9, 30, 33, 97, 99]

Pass 6:
  Compare -77 and -52
  No swap needed
  Compare -52 and -47
  No swap needed
  Compare -47 and -13
  No swap needed
  Compare -13 and -94
  Swap -13 and -94
  List after swap: [-77, -52, -47, -94, -13, 9, 30, 33, 97, 99]

Pass 7:
  Compare -77 and -52
  No swap needed
  Compare -52 and -47
  No swap needed
  Compare -47 and -94
  Swap -47 and -94
  List after swap: [-77, -52, -94, -47, -13, 9, 30, 33, 97, 99]

Pass 8:
  Compare -77 and -52
  No swap needed
  Compare -52 and -94
  Swap -52 and -94
  List after swap: [-77, -94, -52, -47, -13, 9, 30, 33, 97, 99]

Pass 9:
  Compare -77 and -94
  Swap -77 and -94
  List after swap: [-94, -77, -52, -47, -13, 9, 30, 33, 97, 99]

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

Final sorted list: [-94, -77, -52, -47, -13, 9, 30, 33, 97, 99]
</think>

<response>-94, -77, -52, -47, -13, 9, 30, 33, 97, 99</response>


input: Implement bubble sort on 82, 92 to achieve ascending order, writing out each step in detail.

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

Pass 1:
  Compare 82 and 92
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>82, 92</response>


input: Using the bubble sort method, sort -27, -43, 98, -38, 5, -51, -5 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-27, -43, 98, -38, 5, -51, -5]

Pass 1:
  Compare -27 and -43
  Swap -27 and -43
  List after swap: [-43, -27, 98, -38, 5, -51, -5]
  Compare -27 and 98
  No swap needed
  Compare 98 and -38
  Swap 98 and -38
  List after swap: [-43, -27, -38, 98, 5, -51, -5]
  Compare 98 and 5
  Swap 98 and 5
  List after swap: [-43, -27, -38, 5, 98, -51, -5]
  Compare 98 and -51
  Swap 98 and -51
  List after swap: [-43, -27, -38, 5, -51, 98, -5]
  Compare 98 and -5
  Swap 98 and -5
  List after swap: [-43, -27, -38, 5, -51, -5, 98]

Pass 2:
  Compare -43 and -27
  No swap needed
  Compare -27 and -38
  Swap -27 and -38
  List after swap: [-43, -38, -27, 5, -51, -5, 98]
  Compare -27 and 5
  No swap needed
  Compare 5 and -51
  Swap 5 and -51
  List after swap: [-43, -38, -27, -51, 5, -5, 98]
  Compare 5 and -5
  Swap 5 and -5
  List after swap: [-43, -38, -27, -51, -5, 5, 98]

Pass 3:
  Compare -43 and -38
  No swap needed
  Compare -38 and -27
  No swap needed
  Compare -27 and -51
  Swap -27 and -51
  List after swap: [-43, -38, -51, -27, -5, 5, 98]
  Compare -27 and -5
  No swap needed

Pass 4:
  Compare -43 and -38
  No swap needed
  Compare -38 and -51
  Swap -38 and -51
  List after swap: [-43, -51, -38, -27, -5, 5, 98]
  Compare -38 and -27
  No swap needed

Pass 5:
  Compare -43 and -51
  Swap -43 and -51
  List after swap: [-51, -43, -38, -27, -5, 5, 98]
  Compare -43 and -38
  No swap needed

Pass 6:
  Compare -51 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -43, -38, -27, -5, 5, 98]
</think>

<response>-51, -43, -38, -27, -5, 5, 98</response>


input: Demonstrate how bubble sort orders the integers 64, -69, -24, -17, -74, -91, -95, -61, -47, -14 in ascending sequence, showing all steps.

output:
<think>
Initial list: [64, -69, -24, -17, -74, -91, -95, -61, -47, -14]

Pass 1:
  Compare 64 and -69
  Swap 64 and -69
  List after swap: [-69, 64, -24, -17, -74, -91, -95, -61, -47, -14]
  Compare 64 and -24
  Swap 64 and -24
  List after swap: [-69, -24, 64, -17, -74, -91, -95, -61, -47, -14]
  Compare 64 and -17
  Swap 64 and -17
  List after swap: [-69, -24, -17, 64, -74, -91, -95, -61, -47, -14]
  Compare 64 and -74
  Swap 64 and -74
  List after swap: [-69, -24, -17, -74, 64, -91, -95, -61, -47, -14]
  Compare 64 and -91
  Swap 64 and -91
  List after swap: [-69, -24, -17, -74, -91, 64, -95, -61, -47, -14]
  Compare 64 and -95
  Swap 64 and -95
  List after swap: [-69, -24, -17, -74, -91, -95, 64, -61, -47, -14]
  Compare 64 and -61
  Swap 64 and -61
  List after swap: [-69, -24, -17, -74, -91, -95, -61, 64, -47, -14]
  Compare 64 and -47
  Swap 64 and -47
  List after swap: [-69, -24, -17, -74, -91, -95, -61, -47, 64, -14]
  Compare 64 and -14
  Swap 64 and -14
  List after swap: [-69, -24, -17, -74, -91, -95, -61, -47, -14, 64]

Pass 2:
  Compare -69 and -24
  No swap needed
  Compare -24 and -17
  No swap needed
  Compare -17 and -74
  Swap -17 and -74
  List after swap: [-69, -24, -74, -17, -91, -95, -61, -47, -14, 64]
  Compare -17 and -91
  Swap -17 and -91
  List after swap: [-69, -24, -74, -91, -17, -95, -61, -47, -14, 64]
  Compare -17 and -95
  Swap -17 and -95
  List after swap: [-69, -24, -74, -91, -95, -17, -61, -47, -14, 64]
  Compare -17 and -61
  Swap -17 and -61
  List after swap: [-69, -24, -74, -91, -95, -61, -17, -47, -14, 64]
  Compare -17 and -47
  Swap -17 and -47
  List after swap: [-69, -24, -74, -91, -95, -61, -47, -17, -14, 64]
  Compare -17 and -14
  No swap needed

Pass 3:
  Compare -69 and -24
  No swap needed
  Compare -24 and -74
  Swap -24 and -74
  List after swap: [-69, -74, -24, -91, -95, -61, -47, -17, -14, 64]
  Compare -24 and -91
  Swap -24 and -91
  List after swap: [-69, -74, -91, -24, -95, -61, -47, -17, -14, 64]
  Compare -24 and -95
  Swap -24 and -95
  List after swap: [-69, -74, -91, -95, -24, -61, -47, -17, -14, 64]
  Compare -24 and -61
  Swap -24 and -61
  List after swap: [-69, -74, -91, -95, -61, -24, -47, -17, -14, 64]
  Compare -24 and -47
  Swap -24 and -47
  List after swap: [-69, -74, -91, -95, -61, -47, -24, -17, -14, 64]
  Compare -24 and -17
  No swap needed

Pass 4:
  Compare -69 and -74
  Swap -69 and -74
  List after swap: [-74, -69, -91, -95, -61, -47, -24, -17, -14, 64]
  Compare -69 and -91
  Swap -69 and -91
  List after swap: [-74, -91, -69, -95, -61, -47, -24, -17, -14, 64]
  Compare -69 and -95
  Swap -69 and -95
  List after swap: [-74, -91, -95, -69, -61, -47, -24, -17, -14, 64]
  Compare -69 and -61
  No swap needed
  Compare -61 and -47
  No swap needed
  Compare -47 and -24
  No swap needed

Pass 5:
  Compare -74 and -91
  Swap -74 and -91
  List after swap: [-91, -74, -95, -69, -61, -47, -24, -17, -14, 64]
  Compare -74 and -95
  Swap -74 and -95
  List after swap: [-91, -95, -74, -69, -61, -47, -24, -17, -14, 64]
  Compare -74 and -69
  No swap needed
  Compare -69 and -61
  No swap needed
  Compare -61 and -47
  No swap needed

Pass 6:
  Compare -91 and -95
  Swap -91 and -95
  List after swap: [-95, -91, -74, -69, -61, -47, -24, -17, -14, 64]
  Compare -91 and -74
  No swap needed
  Compare -74 and -69
  No swap needed
  Compare -69 and -61
  No swap needed

Pass 7:
  Compare -95 and -91
  No swap needed
  Compare -91 and -74
  No swap needed
  Compare -74 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -91, -74, -69, -61, -47, -24, -17, -14, 64]
</think>

<response>-95, -91, -74, -69, -61, -47, -24, -17, -14, 64</response>


input: Implement bubble sort on 97, 81, 94, -35, -37, -29, 14, 86, 9 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [97, 81, 94, -35, -37, -29, 14, 86, 9]

Pass 1:
  Compare 97 and 81
  Swap 97 and 81
  List after swap: [81, 97, 94, -35, -37, -29, 14, 86, 9]
  Compare 97 and 94
  Swap 97 and 94
  List after swap: [81, 94, 97, -35, -37, -29, 14, 86, 9]
  Compare 97 and -35
  Swap 97 and -35
  List after swap: [81, 94, -35, 97, -37, -29, 14, 86, 9]
  Compare 97 and -37
  Swap 97 and -37
  List after swap: [81, 94, -35, -37, 97, -29, 14, 86, 9]
  Compare 97 and -29
  Swap 97 and -29
  List after swap: [81, 94, -35, -37, -29, 97, 14, 86, 9]
  Compare 97 and 14
  Swap 97 and 14
  List after swap: [81, 94, -35, -37, -29, 14, 97, 86, 9]
  Compare 97 and 86
  Swap 97 and 86
  List after swap: [81, 94, -35, -37, -29, 14, 86, 97, 9]
  Compare 97 and 9
  Swap 97 and 9
  List after swap: [81, 94, -35, -37, -29, 14, 86, 9, 97]

Pass 2:
  Compare 81 and 94
  No swap needed
  Compare 94 and -35
  Swap 94 and -35
  List after swap: [81, -35, 94, -37, -29, 14, 86, 9, 97]
  Compare 94 and -37
  Swap 94 and -37
  List after swap: [81, -35, -37, 94, -29, 14, 86, 9, 97]
  Compare 94 and -29
  Swap 94 and -29
  List after swap: [81, -35, -37, -29, 94, 14, 86, 9, 97]
  Compare 94 and 14
  Swap 94 and 14
  List after swap: [81, -35, -37, -29, 14, 94, 86, 9, 97]
  Compare 94 and 86
  Swap 94 and 86
  List after swap: [81, -35, -37, -29, 14, 86, 94, 9, 97]
  Compare 94 and 9
  Swap 94 and 9
  List after swap: [81, -35, -37, -29, 14, 86, 9, 94, 97]

Pass 3:
  Compare 81 and -35
  Swap 81 and -35
  List after swap: [-35, 81, -37, -29, 14, 86, 9, 94, 97]
  Compare 81 and -37
  Swap 81 and -37
  List after swap: [-35, -37, 81, -29, 14, 86, 9, 94, 97]
  Compare 81 and -29
  Swap 81 and -29
  List after swap: [-35, -37, -29, 81, 14, 86, 9, 94, 97]
  Compare 81 and 14
  Swap 81 and 14
  List after swap: [-35, -37, -29, 14, 81, 86, 9, 94, 97]
  Compare 81 and 86
  No swap needed
  Compare 86 and 9
  Swap 86 and 9
  List after swap: [-35, -37, -29, 14, 81, 9, 86, 94, 97]

Pass 4:
  Compare -35 and -37
  Swap -35 and -37
  List after swap: [-37, -35, -29, 14, 81, 9, 86, 94, 97]
  Compare -35 and -29
  No swap needed
  Compare -29 and 14
  No swap needed
  Compare 14 and 81
  No swap needed
  Compare 81 and 9
  Swap 81 and 9
  List after swap: [-37, -35, -29, 14, 9, 81, 86, 94, 97]

Pass 5:
  Compare -37 and -35
  No swap needed
  Compare -35 and -29
  No swap needed
  Compare -29 and 14
  No swap needed
  Compare 14 and 9
  Swap 14 and 9
  List after swap: [-37, -35, -29, 9, 14, 81, 86, 94, 97]

Pass 6:
  Compare -37 and -35
  No swap needed
  Compare -35 and -29
  No swap needed
  Compare -29 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -35, -29, 9, 14, 81, 86, 94, 97]
</think>

<response>-37, -35, -29, 9, 14, 81, 86, 94, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -23, 67, -4, -85, -56, 22, -68, 8.

output:
<think>
Initial list: [-23, 67, -4, -85, -56, 22, -68, 8]

Pass 1:
  Compare -23 and 67
  No swap needed
  Compare 67 and -4
  Swap 67 and -4
  List after swap: [-23, -4, 67, -85, -56, 22, -68, 8]
  Compare 67 and -85
  Swap 67 and -85
  List after swap: [-23, -4, -85, 67, -56, 22, -68, 8]
  Compare 67 and -56
  Swap 67 and -56
  List after swap: [-23, -4, -85, -56, 67, 22, -68, 8]
  Compare 67 and 22
  Swap 67 and 22
  List after swap: [-23, -4, -85, -56, 22, 67, -68, 8]
  Compare 67 and -68
  Swap 67 and -68
  List after swap: [-23, -4, -85, -56, 22, -68, 67, 8]
  Compare 67 and 8
  Swap 67 and 8
  List after swap: [-23, -4, -85, -56, 22, -68, 8, 67]

Pass 2:
  Compare -23 and -4
  No swap needed
  Compare -4 and -85
  Swap -4 and -85
  List after swap: [-23, -85, -4, -56, 22, -68, 8, 67]
  Compare -4 and -56
  Swap -4 and -56
  List after swap: [-23, -85, -56, -4, 22, -68, 8, 67]
  Compare -4 and 22
  No swap needed
  Compare 22 and -68
  Swap 22 and -68
  List after swap: [-23, -85, -56, -4, -68, 22, 8, 67]
  Compare 22 and 8
  Swap 22 and 8
  List after swap: [-23, -85, -56, -4, -68, 8, 22, 67]

Pass 3:
  Compare -23 and -85
  Swap -23 and -85
  List after swap: [-85, -23, -56, -4, -68, 8, 22, 67]
  Compare -23 and -56
  Swap -23 and -56
  List after swap: [-85, -56, -23, -4, -68, 8, 22, 67]
  Compare -23 and -4
  No swap needed
  Compare -4 and -68
  Swap -4 and -68
  List after swap: [-85, -56, -23, -68, -4, 8, 22, 67]
  Compare -4 and 8
  No swap needed

Pass 4:
  Compare -85 and -56
  No swap needed
  Compare -56 and -23
  No swap needed
  Compare -23 and -68
  Swap -23 and -68
  List after swap: [-85, -56, -68, -23, -4, 8, 22, 67]
  Compare -23 and -4
  No swap needed

Pass 5:
  Compare -85 and -56
  No swap needed
  Compare -56 and -68
  Swap -56 and -68
  List after swap: [-85, -68, -56, -23, -4, 8, 22, 67]
  Compare -56 and -23
  No swap needed

Pass 6:
  Compare -85 and -68
  No swap needed
  Compare -68 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -68, -56, -23, -4, 8, 22, 67]
</think>

<response>-85, -68, -56, -23, -4, 8, 22, 67</response>


input: Sort the list 61, -50, -70, 31 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [61, -50, -70, 31]

Pass 1:
  Compare 61 and -50
  Swap 61 and -50
  List after swap: [-50, 61, -70, 31]
  Compare 61 and -70
  Swap 61 and -70
  List after swap: [-50, -70, 61, 31]
  Compare 61 and 31
  Swap 61 and 31
  List after swap: [-50, -70, 31, 61]

Pass 2:
  Compare -50 and -70
  Swap -50 and -70
  List after swap: [-70, -50, 31, 61]
  Compare -50 and 31
  No swap needed

Pass 3:
  Compare -70 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -50, 31, 61]
</think>

<response>-70, -50, 31, 61</response>


input: Using the bubble sort method, sort -61, -14, 14, -19, 29 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-61, -14, 14, -19, 29]

Pass 1:
  Compare -61 and -14
  No swap needed
  Compare -14 and 14
  No swap needed
  Compare 14 and -19
  Swap 14 and -19
  List after swap: [-61, -14, -19, 14, 29]
  Compare 14 and 29
  No swap needed

Pass 2:
  Compare -61 and -14
  No swap needed
  Compare -14 and -19
  Swap -14 and -19
  List after swap: [-61, -19, -14, 14, 29]
  Compare -14 and 14
  No swap needed

Pass 3:
  Compare -61 and -19
  No swap needed
  Compare -19 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -19, -14, 14, 29]
</think>

<response>-61, -19, -14, 14, 29</response>


input: Sort these integers 9, -100, 33, -49, 97, 94, 90, -62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [9, -100, 33, -49, 97, 94, 90, -62]

Pass 1:
  Compare 9 and -100
  Swap 9 and -100
  List after swap: [-100, 9, 33, -49, 97, 94, 90, -62]
  Compare 9 and 33
  No swap needed
  Compare 33 and -49
  Swap 33 and -49
  List after swap: [-100, 9, -49, 33, 97, 94, 90, -62]
  Compare 33 and 97
  No swap needed
  Compare 97 and 94
  Swap 97 and 94
  List after swap: [-100, 9, -49, 33, 94, 97, 90, -62]
  Compare 97 and 90
  Swap 97 and 90
  List after swap: [-100, 9, -49, 33, 94, 90, 97, -62]
  Compare 97 and -62
  Swap 97 and -62
  List after swap: [-100, 9, -49, 33, 94, 90, -62, 97]

Pass 2:
  Compare -100 and 9
  No swap needed
  Compare 9 and -49
  Swap 9 and -49
  List after swap: [-100, -49, 9, 33, 94, 90, -62, 97]
  Compare 9 and 33
  No swap needed
  Compare 33 and 94
  No swap needed
  Compare 94 and 90
  Swap 94 and 90
  List after swap: [-100, -49, 9, 33, 90, 94, -62, 97]
  Compare 94 and -62
  Swap 94 and -62
  List after swap: [-100, -49, 9, 33, 90, -62, 94, 97]

Pass 3:
  Compare -100 and -49
  No swap needed
  Compare -49 and 9
  No swap needed
  Compare 9 and 33
  No swap needed
  Compare 33 and 90
  No swap needed
  Compare 90 and -62
  Swap 90 and -62
  List after swap: [-100, -49, 9, 33, -62, 90, 94, 97]

Pass 4:
  Compare -100 and -49
  No swap needed
  Compare -49 and 9
  No swap needed
  Compare 9 and 33
  No swap needed
  Compare 33 and -62
  Swap 33 and -62
  List after swap: [-100, -49, 9, -62, 33, 90, 94, 97]

Pass 5:
  Compare -100 and -49
  No swap needed
  Compare -49 and 9
  No swap needed
  Compare 9 and -62
  Swap 9 and -62
  List after swap: [-100, -49, -62, 9, 33, 90, 94, 97]

Pass 6:
  Compare -100 and -49
  No swap needed
  Compare -49 and -62
  Swap -49 and -62
  List after swap: [-100, -62, -49, 9, 33, 90, 94, 97]

Pass 7:
  Compare -100 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -62, -49, 9, 33, 90, 94, 97]
</think>

<response>-100, -62, -49, 9, 33, 90, 94, 97</response>


input: Sort the list -31, -52, 65, -23, 81, -50, -39, 3, -19 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-31, -52, 65, -23, 81, -50, -39, 3, -19]

Pass 1:
  Compare -31 and -52
  Swap -31 and -52
  List after swap: [-52, -31, 65, -23, 81, -50, -39, 3, -19]
  Compare -31 and 65
  No swap needed
  Compare 65 and -23
  Swap 65 and -23
  List after swap: [-52, -31, -23, 65, 81, -50, -39, 3, -19]
  Compare 65 and 81
  No swap needed
  Compare 81 and -50
  Swap 81 and -50
  List after swap: [-52, -31, -23, 65, -50, 81, -39, 3, -19]
  Compare 81 and -39
  Swap 81 and -39
  List after swap: [-52, -31, -23, 65, -50, -39, 81, 3, -19]
  Compare 81 and 3
  Swap 81 and 3
  List after swap: [-52, -31, -23, 65, -50, -39, 3, 81, -19]
  Compare 81 and -19
  Swap 81 and -19
  List after swap: [-52, -31, -23, 65, -50, -39, 3, -19, 81]

Pass 2:
  Compare -52 and -31
  No swap needed
  Compare -31 and -23
  No swap needed
  Compare -23 and 65
  No swap needed
  Compare 65 and -50
  Swap 65 and -50
  List after swap: [-52, -31, -23, -50, 65, -39, 3, -19, 81]
  Compare 65 and -39
  Swap 65 and -39
  List after swap: [-52, -31, -23, -50, -39, 65, 3, -19, 81]
  Compare 65 and 3
  Swap 65 and 3
  List after swap: [-52, -31, -23, -50, -39, 3, 65, -19, 81]
  Compare 65 and -19
  Swap 65 and -19
  List after swap: [-52, -31, -23, -50, -39, 3, -19, 65, 81]

Pass 3:
  Compare -52 and -31
  No swap needed
  Compare -31 and -23
  No swap needed
  Compare -23 and -50
  Swap -23 and -50
  List after swap: [-52, -31, -50, -23, -39, 3, -19, 65, 81]
  Compare -23 and -39
  Swap -23 and -39
  List after swap: [-52, -31, -50, -39, -23, 3, -19, 65, 81]
  Compare -23 and 3
  No swap needed
  Compare 3 and -19
  Swap 3 and -19
  List after swap: [-52, -31, -50, -39, -23, -19, 3, 65, 81]

Pass 4:
  Compare -52 and -31
  No swap needed
  Compare -31 and -50
  Swap -31 and -50
  List after swap: [-52, -50, -31, -39, -23, -19, 3, 65, 81]
  Compare -31 and -39
  Swap -31 and -39
  List after swap: [-52, -50, -39, -31, -23, -19, 3, 65, 81]
  Compare -31 and -23
  No swap needed
  Compare -23 and -19
  No swap needed

Pass 5:
  Compare -52 and -50
  No swap needed
  Compare -50 and -39
  No swap needed
  Compare -39 and -31
  No swap needed
  Compare -31 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -50, -39, -31, -23, -19, 3, 65, 81]
</think>

<response>-52, -50, -39, -31, -23, -19, 3, 65, 81</response>


input: Demonstrate how bubble sort orders the integers -84, 9, -58, 40, -44 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-84, 9, -58, 40, -44]

Pass 1:
  Compare -84 and 9
  No swap needed
  Compare 9 and -58
  Swap 9 and -58
  List after swap: [-84, -58, 9, 40, -44]
  Compare 9 and 40
  No swap needed
  Compare 40 and -44
  Swap 40 and -44
  List after swap: [-84, -58, 9, -44, 40]

Pass 2:
  Compare -84 and -58
  No swap needed
  Compare -58 and 9
  No swap needed
  Compare 9 and -44
  Swap 9 and -44
  List after swap: [-84, -58, -44, 9, 40]

Pass 3:
  Compare -84 and -58
  No swap needed
  Compare -58 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -58, -44, 9, 40]
</think>

<response>-84, -58, -44, 9, 40</response>


input: Sort the list 76, 96 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [76, 96]

Pass 1:
  Compare 76 and 96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [76, 96]
</think>

<response>76, 96</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -85, 13, 46, -1, -69.

output:
<think>
Initial list: [-85, 13, 46, -1, -69]

Pass 1:
  Compare -85 and 13
  No swap needed
  Compare 13 and 46
  No swap needed
  Compare 46 and -1
  Swap 46 and -1
  List after swap: [-85, 13, -1, 46, -69]
  Compare 46 and -69
  Swap 46 and -69
  List after swap: [-85, 13, -1, -69, 46]

Pass 2:
  Compare -85 and 13
  No swap needed
  Compare 13 and -1
  Swap 13 and -1
  List after swap: [-85, -1, 13, -69, 46]
  Compare 13 and -69
  Swap 13 and -69
  List after swap: [-85, -1, -69, 13, 46]

Pass 3:
  Compare -85 and -1
  No swap needed
  Compare -1 and -69
  Swap -1 and -69
  List after swap: [-85, -69, -1, 13, 46]

Pass 4:
  Compare -85 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -69, -1, 13, 46]
</think>

<response>-85, -69, -1, 13, 46</response>


input: Use the bubble sort technique to reorder 27, -93, 56, -84, 80, -87, 0, -11, -99 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [27, -93, 56, -84, 80, -87, 0, -11, -99]

Pass 1:
  Compare 27 and -93
  Swap 27 and -93
  List after swap: [-93, 27, 56, -84, 80, -87, 0, -11, -99]
  Compare 27 and 56
  No swap needed
  Compare 56 and -84
  Swap 56 and -84
  List after swap: [-93, 27, -84, 56, 80, -87, 0, -11, -99]
  Compare 56 and 80
  No swap needed
  Compare 80 and -87
  Swap 80 and -87
  List after swap: [-93, 27, -84, 56, -87, 80, 0, -11, -99]
  Compare 80 and 0
  Swap 80 and 0
  List after swap: [-93, 27, -84, 56, -87, 0, 80, -11, -99]
  Compare 80 and -11
  Swap 80 and -11
  List after swap: [-93, 27, -84, 56, -87, 0, -11, 80, -99]
  Compare 80 and -99
  Swap 80 and -99
  List after swap: [-93, 27, -84, 56, -87, 0, -11, -99, 80]

Pass 2:
  Compare -93 and 27
  No swap needed
  Compare 27 and -84
  Swap 27 and -84
  List after swap: [-93, -84, 27, 56, -87, 0, -11, -99, 80]
  Compare 27 and 56
  No swap needed
  Compare 56 and -87
  Swap 56 and -87
  List after swap: [-93, -84, 27, -87, 56, 0, -11, -99, 80]
  Compare 56 and 0
  Swap 56 and 0
  List after swap: [-93, -84, 27, -87, 0, 56, -11, -99, 80]
  Compare 56 and -11
  Swap 56 and -11
  List after swap: [-93, -84, 27, -87, 0, -11, 56, -99, 80]
  Compare 56 and -99
  Swap 56 and -99
  List after swap: [-93, -84, 27, -87, 0, -11, -99, 56, 80]

Pass 3:
  Compare -93 and -84
  No swap needed
  Compare -84 and 27
  No swap needed
  Compare 27 and -87
  Swap 27 and -87
  List after swap: [-93, -84, -87, 27, 0, -11, -99, 56, 80]
  Compare 27 and 0
  Swap 27 and 0
  List after swap: [-93, -84, -87, 0, 27, -11, -99, 56, 80]
  Compare 27 and -11
  Swap 27 and -11
  List after swap: [-93, -84, -87, 0, -11, 27, -99, 56, 80]
  Compare 27 and -99
  Swap 27 and -99
  List after swap: [-93, -84, -87, 0, -11, -99, 27, 56, 80]

Pass 4:
  Compare -93 and -84
  No swap needed
  Compare -84 and -87
  Swap -84 and -87
  List after swap: [-93, -87, -84, 0, -11, -99, 27, 56, 80]
  Compare -84 and 0
  No swap needed
  Compare 0 and -11
  Swap 0 and -11
  List after swap: [-93, -87, -84, -11, 0, -99, 27, 56, 80]
  Compare 0 and -99
  Swap 0 and -99
  List after swap: [-93, -87, -84, -11, -99, 0, 27, 56, 80]

Pass 5:
  Compare -93 and -87
  No swap needed
  Compare -87 and -84
  No swap needed
  Compare -84 and -11
  No swap needed
  Compare -11 and -99
  Swap -11 and -99
  List after swap: [-93, -87, -84, -99, -11, 0, 27, 56, 80]

Pass 6:
  Compare -93 and -87
  No swap needed
  Compare -87 and -84
  No swap needed
  Compare -84 and -99
  Swap -84 and -99
  List after swap: [-93, -87, -99, -84, -11, 0, 27, 56, 80]

Pass 7:
  Compare -93 and -87
  No swap needed
  Compare -87 and -99
  Swap -87 and -99
  List after swap: [-93, -99, -87, -84, -11, 0, 27, 56, 80]

Pass 8:
  Compare -93 and -99
  Swap -93 and -99
  List after swap: [-99, -93, -87, -84, -11, 0, 27, 56, 80]

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

Final sorted list: [-99, -93, -87, -84, -11, 0, 27, 56, 80]
</think>

<response>-99, -93, -87, -84, -11, 0, 27, 56, 80</response>


input: Sort these integers 35, -38, -92, 71 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [35, -38, -92, 71]

Pass 1:
  Compare 35 and -38
  Swap 35 and -38
  List after swap: [-38, 35, -92, 71]
  Compare 35 and -92
  Swap 35 and -92
  List after swap: [-38, -92, 35, 71]
  Compare 35 and 71
  No swap needed

Pass 2:
  Compare -38 and -92
  Swap -38 and -92
  List after swap: [-92, -38, 35, 71]
  Compare -38 and 35
  No swap needed

Pass 3:
  Compare -92 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -38, 35, 71]
</think>

<response>-92, -38, 35, 71</response>


input: Use the bubble sort technique to reorder -57, -16, 13, 30, -63, -2, -65, 84, -43, 21 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-57, -16, 13, 30, -63, -2, -65, 84, -43, 21]

Pass 1:
  Compare -57 and -16
  No swap needed
  Compare -16 and 13
  No swap needed
  Compare 13 and 30
  No swap needed
  Compare 30 and -63
  Swap 30 and -63
  List after swap: [-57, -16, 13, -63, 30, -2, -65, 84, -43, 21]
  Compare 30 and -2
  Swap 30 and -2
  List after swap: [-57, -16, 13, -63, -2, 30, -65, 84, -43, 21]
  Compare 30 and -65
  Swap 30 and -65
  List after swap: [-57, -16, 13, -63, -2, -65, 30, 84, -43, 21]
  Compare 30 and 84
  No swap needed
  Compare 84 and -43
  Swap 84 and -43
  List after swap: [-57, -16, 13, -63, -2, -65, 30, -43, 84, 21]
  Compare 84 and 21
  Swap 84 and 21
  List after swap: [-57, -16, 13, -63, -2, -65, 30, -43, 21, 84]

Pass 2:
  Compare -57 and -16
  No swap needed
  Compare -16 and 13
  No swap needed
  Compare 13 and -63
  Swap 13 and -63
  List after swap: [-57, -16, -63, 13, -2, -65, 30, -43, 21, 84]
  Compare 13 and -2
  Swap 13 and -2
  List after swap: [-57, -16, -63, -2, 13, -65, 30, -43, 21, 84]
  Compare 13 and -65
  Swap 13 and -65
  List after swap: [-57, -16, -63, -2, -65, 13, 30, -43, 21, 84]
  Compare 13 and 30
  No swap needed
  Compare 30 and -43
  Swap 30 and -43
  List after swap: [-57, -16, -63, -2, -65, 13, -43, 30, 21, 84]
  Compare 30 and 21
  Swap 30 and 21
  List after swap: [-57, -16, -63, -2, -65, 13, -43, 21, 30, 84]

Pass 3:
  Compare -57 and -16
  No swap needed
  Compare -16 and -63
  Swap -16 and -63
  List after swap: [-57, -63, -16, -2, -65, 13, -43, 21, 30, 84]
  Compare -16 and -2
  No swap needed
  Compare -2 and -65
  Swap -2 and -65
  List after swap: [-57, -63, -16, -65, -2, 13, -43, 21, 30, 84]
  Compare -2 and 13
  No swap needed
  Compare 13 and -43
  Swap 13 and -43
  List after swap: [-57, -63, -16, -65, -2, -43, 13, 21, 30, 84]
  Compare 13 and 21
  No swap needed

Pass 4:
  Compare -57 and -63
  Swap -57 and -63
  List after swap: [-63, -57, -16, -65, -2, -43, 13, 21, 30, 84]
  Compare -57 and -16
  No swap needed
  Compare -16 and -65
  Swap -16 and -65
  List after swap: [-63, -57, -65, -16, -2, -43, 13, 21, 30, 84]
  Compare -16 and -2
  No swap needed
  Compare -2 and -43
  Swap -2 and -43
  List after swap: [-63, -57, -65, -16, -43, -2, 13, 21, 30, 84]
  Compare -2 and 13
  No swap needed

Pass 5:
  Compare -63 and -57
  No swap needed
  Compare -57 and -65
  Swap -57 and -65
  List after swap: [-63, -65, -57, -16, -43, -2, 13, 21, 30, 84]
  Compare -57 and -16
  No swap needed
  Compare -16 and -43
  Swap -16 and -43
  List after swap: [-63, -65, -57, -43, -16, -2, 13, 21, 30, 84]
  Compare -16 and -2
  No swap needed

Pass 6:
  Compare -63 and -65
  Swap -63 and -65
  List after swap: [-65, -63, -57, -43, -16, -2, 13, 21, 30, 84]
  Compare -63 and -57
  No swap needed
  Compare -57 and -43
  No swap needed
  Compare -43 and -16
  No swap needed

Pass 7:
  Compare -65 and -63
  No swap needed
  Compare -63 and -57
  No swap needed
  Compare -57 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -63, -57, -43, -16, -2, 13, 21, 30, 84]
</think>

<response>-65, -63, -57, -43, -16, -2, 13, 21, 30, 84</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -79, 36, -66, -17, 11, -36, -2.

output:
<think>
Initial list: [-79, 36, -66, -17, 11, -36, -2]

Pass 1:
  Compare -79 and 36
  No swap needed
  Compare 36 and -66
  Swap 36 and -66
  List after swap: [-79, -66, 36, -17, 11, -36, -2]
  Compare 36 and -17
  Swap 36 and -17
  List after swap: [-79, -66, -17, 36, 11, -36, -2]
  Compare 36 and 11
  Swap 36 and 11
  List after swap: [-79, -66, -17, 11, 36, -36, -2]
  Compare 36 and -36
  Swap 36 and -36
  List after swap: [-79, -66, -17, 11, -36, 36, -2]
  Compare 36 and -2
  Swap 36 and -2
  List after swap: [-79, -66, -17, 11, -36, -2, 36]

Pass 2:
  Compare -79 and -66
  No swap needed
  Compare -66 and -17
  No swap needed
  Compare -17 and 11
  No swap needed
  Compare 11 and -36
  Swap 11 and -36
  List after swap: [-79, -66, -17, -36, 11, -2, 36]
  Compare 11 and -2
  Swap 11 and -2
  List after swap: [-79, -66, -17, -36, -2, 11, 36]

Pass 3:
  Compare -79 and -66
  No swap needed
  Compare -66 and -17
  No swap needed
  Compare -17 and -36
  Swap -17 and -36
  List after swap: [-79, -66, -36, -17, -2, 11, 36]
  Compare -17 and -2
  No swap needed

Pass 4:
  Compare -79 and -66
  No swap needed
  Compare -66 and -36
  No swap needed
  Compare -36 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -66, -36, -17, -2, 11, 36]
</think>

<response>-79, -66, -36, -17, -2, 11, 36</response>


input: Use the bubble sort technique to reorder -83, -5, 51, 88 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-83, -5, 51, 88]

Pass 1:
  Compare -83 and -5
  No swap needed
  Compare -5 and 51
  No swap needed
  Compare 51 and 88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -5, 51, 88]
</think>

<response>-83, -5, 51, 88</response>


input: Demonstrate how bubble sort orders the integers -15, -64, 87, 8, -60, 77, -47, -54 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-15, -64, 87, 8, -60, 77, -47, -54]

Pass 1:
  Compare -15 and -64
  Swap -15 and -64
  List after swap: [-64, -15, 87, 8, -60, 77, -47, -54]
  Compare -15 and 87
  No swap needed
  Compare 87 and 8
  Swap 87 and 8
  List after swap: [-64, -15, 8, 87, -60, 77, -47, -54]
  Compare 87 and -60
  Swap 87 and -60
  List after swap: [-64, -15, 8, -60, 87, 77, -47, -54]
  Compare 87 and 77
  Swap 87 and 77
  List after swap: [-64, -15, 8, -60, 77, 87, -47, -54]
  Compare 87 and -47
  Swap 87 and -47
  List after swap: [-64, -15, 8, -60, 77, -47, 87, -54]
  Compare 87 and -54
  Swap 87 and -54
  List after swap: [-64, -15, 8, -60, 77, -47, -54, 87]

Pass 2:
  Compare -64 and -15
  No swap needed
  Compare -15 and 8
  No swap needed
  Compare 8 and -60
  Swap 8 and -60
  List after swap: [-64, -15, -60, 8, 77, -47, -54, 87]
  Compare 8 and 77
  No swap needed
  Compare 77 and -47
  Swap 77 and -47
  List after swap: [-64, -15, -60, 8, -47, 77, -54, 87]
  Compare 77 and -54
  Swap 77 and -54
  List after swap: [-64, -15, -60, 8, -47, -54, 77, 87]

Pass 3:
  Compare -64 and -15
  No swap needed
  Compare -15 and -60
  Swap -15 and -60
  List after swap: [-64, -60, -15, 8, -47, -54, 77, 87]
  Compare -15 and 8
  No swap needed
  Compare 8 and -47
  Swap 8 and -47
  List after swap: [-64, -60, -15, -47, 8, -54, 77, 87]
  Compare 8 and -54
  Swap 8 and -54
  List after swap: [-64, -60, -15, -47, -54, 8, 77, 87]

Pass 4:
  Compare -64 and -60
  No swap needed
  Compare -60 and -15
  No swap needed
  Compare -15 and -47
  Swap -15 and -47
  List after swap: [-64, -60, -47, -15, -54, 8, 77, 87]
  Compare -15 and -54
  Swap -15 and -54
  List after swap: [-64, -60, -47, -54, -15, 8, 77, 87]

Pass 5:
  Compare -64 and -60
  No swap needed
  Compare -60 and -47
  No swap needed
  Compare -47 and -54
  Swap -47 and -54
  List after swap: [-64, -60, -54, -47, -15, 8, 77, 87]

Pass 6:
  Compare -64 and -60
  No swap needed
  Compare -60 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -60, -54, -47, -15, 8, 77, 87]
</think>

<response>-64, -60, -54, -47, -15, 8, 77, 87</response>


input: Arrange the numbers -91, -92, 94, -80, -65, 91, -96 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-91, -92, 94, -80, -65, 91, -96]

Pass 1:
  Compare -91 and -92
  Swap -91 and -92
  List after swap: [-92, -91, 94, -80, -65, 91, -96]
  Compare -91 and 94
  No swap needed
  Compare 94 and -80
  Swap 94 and -80
  List after swap: [-92, -91, -80, 94, -65, 91, -96]
  Compare 94 and -65
  Swap 94 and -65
  List after swap: [-92, -91, -80, -65, 94, 91, -96]
  Compare 94 and 91
  Swap 94 and 91
  List after swap: [-92, -91, -80, -65, 91, 94, -96]
  Compare 94 and -96
  Swap 94 and -96
  List after swap: [-92, -91, -80, -65, 91, -96, 94]

Pass 2:
  Compare -92 and -91
  No swap needed
  Compare -91 and -80
  No swap needed
  Compare -80 and -65
  No swap needed
  Compare -65 and 91
  No swap needed
  Compare 91 and -96
  Swap 91 and -96
  List after swap: [-92, -91, -80, -65, -96, 91, 94]

Pass 3:
  Compare -92 and -91
  No swap needed
  Compare -91 and -80
  No swap needed
  Compare -80 and -65
  No swap needed
  Compare -65 and -96
  Swap -65 and -96
  List after swap: [-92, -91, -80, -96, -65, 91, 94]

Pass 4:
  Compare -92 and -91
  No swap needed
  Compare -91 and -80
  No swap needed
  Compare -80 and -96
  Swap -80 and -96
  List after swap: [-92, -91, -96, -80, -65, 91, 94]

Pass 5:
  Compare -92 and -91
  No swap needed
  Compare -91 and -96
  Swap -91 and -96
  List after swap: [-92, -96, -91, -80, -65, 91, 94]

Pass 6:
  Compare -92 and -96
  Swap -92 and -96
  List after swap: [-96, -92, -91, -80, -65, 91, 94]

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

Final sorted list: [-96, -92, -91, -80, -65, 91, 94]
</think>

<response>-96, -92, -91, -80, -65, 91, 94</response>


input: Sort the list 95, 15, -72, -79, -77, 46 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [95, 15, -72, -79, -77, 46]

Pass 1:
  Compare 95 and 15
  Swap 95 and 15
  List after swap: [15, 95, -72, -79, -77, 46]
  Compare 95 and -72
  Swap 95 and -72
  List after swap: [15, -72, 95, -79, -77, 46]
  Compare 95 and -79
  Swap 95 and -79
  List after swap: [15, -72, -79, 95, -77, 46]
  Compare 95 and -77
  Swap 95 and -77
  List after swap: [15, -72, -79, -77, 95, 46]
  Compare 95 and 46
  Swap 95 and 46
  List after swap: [15, -72, -79, -77, 46, 95]

Pass 2:
  Compare 15 and -72
  Swap 15 and -72
  List after swap: [-72, 15, -79, -77, 46, 95]
  Compare 15 and -79
  Swap 15 and -79
  List after swap: [-72, -79, 15, -77, 46, 95]
  Compare 15 and -77
  Swap 15 and -77
  List after swap: [-72, -79, -77, 15, 46, 95]
  Compare 15 and 46
  No swap needed

Pass 3:
  Compare -72 and -79
  Swap -72 and -79
  List after swap: [-79, -72, -77, 15, 46, 95]
  Compare -72 and -77
  Swap -72 and -77
  List after swap: [-79, -77, -72, 15, 46, 95]
  Compare -72 and 15
  No swap needed

Pass 4:
  Compare -79 and -77
  No swap needed
  Compare -77 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -77, -72, 15, 46, 95]
</think>

<response>-79, -77, -72, 15, 46, 95</response>


input: Sort these integers -67, -3, 25, 38, -39, 82, -43, -21, 46 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-67, -3, 25, 38, -39, 82, -43, -21, 46]

Pass 1:
  Compare -67 and -3
  No swap needed
  Compare -3 and 25
  No swap needed
  Compare 25 and 38
  No swap needed
  Compare 38 and -39
  Swap 38 and -39
  List after swap: [-67, -3, 25, -39, 38, 82, -43, -21, 46]
  Compare 38 and 82
  No swap needed
  Compare 82 and -43
  Swap 82 and -43
  List after swap: [-67, -3, 25, -39, 38, -43, 82, -21, 46]
  Compare 82 and -21
  Swap 82 and -21
  List after swap: [-67, -3, 25, -39, 38, -43, -21, 82, 46]
  Compare 82 and 46
  Swap 82 and 46
  List after swap: [-67, -3, 25, -39, 38, -43, -21, 46, 82]

Pass 2:
  Compare -67 and -3
  No swap needed
  Compare -3 and 25
  No swap needed
  Compare 25 and -39
  Swap 25 and -39
  List after swap: [-67, -3, -39, 25, 38, -43, -21, 46, 82]
  Compare 25 and 38
  No swap needed
  Compare 38 and -43
  Swap 38 and -43
  List after swap: [-67, -3, -39, 25, -43, 38, -21, 46, 82]
  Compare 38 and -21
  Swap 38 and -21
  List after swap: [-67, -3, -39, 25, -43, -21, 38, 46, 82]
  Compare 38 and 46
  No swap needed

Pass 3:
  Compare -67 and -3
  No swap needed
  Compare -3 and -39
  Swap -3 and -39
  List after swap: [-67, -39, -3, 25, -43, -21, 38, 46, 82]
  Compare -3 and 25
  No swap needed
  Compare 25 and -43
  Swap 25 and -43
  List after swap: [-67, -39, -3, -43, 25, -21, 38, 46, 82]
  Compare 25 and -21
  Swap 25 and -21
  List after swap: [-67, -39, -3, -43, -21, 25, 38, 46, 82]
  Compare 25 and 38
  No swap needed

Pass 4:
  Compare -67 and -39
  No swap needed
  Compare -39 and -3
  No swap needed
  Compare -3 and -43
  Swap -3 and -43
  List after swap: [-67, -39, -43, -3, -21, 25, 38, 46, 82]
  Compare -3 and -21
  Swap -3 and -21
  List after swap: [-67, -39, -43, -21, -3, 25, 38, 46, 82]
  Compare -3 and 25
  No swap needed

Pass 5:
  Compare -67 and -39
  No swap needed
  Compare -39 and -43
  Swap -39 and -43
  List after swap: [-67, -43, -39, -21, -3, 25, 38, 46, 82]
  Compare -39 and -21
  No swap needed
  Compare -21 and -3
  No swap needed

Pass 6:
  Compare -67 and -43
  No swap needed
  Compare -43 and -39
  No swap needed
  Compare -39 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -43, -39, -21, -3, 25, 38, 46, 82]
</think>

<response>-67, -43, -39, -21, -3, 25, 38, 46, 82</response>


input: Carry out the bubble sort algorithm on 65, 91, 1 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [65, 91, 1]

Pass 1:
  Compare 65 and 91
  No swap needed
  Compare 91 and 1
  Swap 91 and 1
  List after swap: [65, 1, 91]

Pass 2:
  Compare 65 and 1
  Swap 65 and 1
  List after swap: [1, 65, 91]

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

Final sorted list: [1, 65, 91]
</think>

<response>1, 65, 91</response>


input: Sort the list 81, 35, 20, 34 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [81, 35, 20, 34]

Pass 1:
  Compare 81 and 35
  Swap 81 and 35
  List after swap: [35, 81, 20, 34]
  Compare 81 and 20
  Swap 81 and 20
  List after swap: [35, 20, 81, 34]
  Compare 81 and 34
  Swap 81 and 34
  List after swap: [35, 20, 34, 81]

Pass 2:
  Compare 35 and 20
  Swap 35 and 20
  List after swap: [20, 35, 34, 81]
  Compare 35 and 34
  Swap 35 and 34
  List after swap: [20, 34, 35, 81]

Pass 3:
  Compare 20 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [20, 34, 35, 81]
</think>

<response>20, 34, 35, 81</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -90, 73, -76, -38, 33, 92, -35, 99.

output:
<think>
Initial list: [-90, 73, -76, -38, 33, 92, -35, 99]

Pass 1:
  Compare -90 and 73
  No swap needed
  Compare 73 and -76
  Swap 73 and -76
  List after swap: [-90, -76, 73, -38, 33, 92, -35, 99]
  Compare 73 and -38
  Swap 73 and -38
  List after swap: [-90, -76, -38, 73, 33, 92, -35, 99]
  Compare 73 and 33
  Swap 73 and 33
  List after swap: [-90, -76, -38, 33, 73, 92, -35, 99]
  Compare 73 and 92
  No swap needed
  Compare 92 and -35
  Swap 92 and -35
  List after swap: [-90, -76, -38, 33, 73, -35, 92, 99]
  Compare 92 and 99
  No swap needed

Pass 2:
  Compare -90 and -76
  No swap needed
  Compare -76 and -38
  No swap needed
  Compare -38 and 33
  No swap needed
  Compare 33 and 73
  No swap needed
  Compare 73 and -35
  Swap 73 and -35
  List after swap: [-90, -76, -38, 33, -35, 73, 92, 99]
  Compare 73 and 92
  No swap needed

Pass 3:
  Compare -90 and -76
  No swap needed
  Compare -76 and -38
  No swap needed
  Compare -38 and 33
  No swap needed
  Compare 33 and -35
  Swap 33 and -35
  List after swap: [-90, -76, -38, -35, 33, 73, 92, 99]
  Compare 33 and 73
  No swap needed

Pass 4:
  Compare -90 and -76
  No swap needed
  Compare -76 and -38
  No swap needed
  Compare -38 and -35
  No swap needed
  Compare -35 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -76, -38, -35, 33, 73, 92, 99]
</think>

<response>-90, -76, -38, -35, 33, 73, 92, 99</response>


input: Sort the list 78, 93, -50, 54 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [78, 93, -50, 54]

Pass 1:
  Compare 78 and 93
  No swap needed
  Compare 93 and -50
  Swap 93 and -50
  List after swap: [78, -50, 93, 54]
  Compare 93 and 54
  Swap 93 and 54
  List after swap: [78, -50, 54, 93]

Pass 2:
  Compare 78 and -50
  Swap 78 and -50
  List after swap: [-50, 78, 54, 93]
  Compare 78 and 54
  Swap 78 and 54
  List after swap: [-50, 54, 78, 93]

Pass 3:
  Compare -50 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 54, 78, 93]
</think>

<response>-50, 54, 78, 93</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 76, 35, -97, -11, 22.

output:
<think>
Initial list: [76, 35, -97, -11, 22]

Pass 1:
  Compare 76 and 35
  Swap 76 and 35
  List after swap: [35, 76, -97, -11, 22]
  Compare 76 and -97
  Swap 76 and -97
  List after swap: [35, -97, 76, -11, 22]
  Compare 76 and -11
  Swap 76 and -11
  List after swap: [35, -97, -11, 76, 22]
  Compare 76 and 22
  Swap 76 and 22
  List after swap: [35, -97, -11, 22, 76]

Pass 2:
  Compare 35 and -97
  Swap 35 and -97
  List after swap: [-97, 35, -11, 22, 76]
  Compare 35 and -11
  Swap 35 and -11
  List after swap: [-97, -11, 35, 22, 76]
  Compare 35 and 22
  Swap 35 and 22
  List after swap: [-97, -11, 22, 35, 76]

Pass 3:
  Compare -97 and -11
  No swap needed
  Compare -11 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -11, 22, 35, 76]
</think>

<response>-97, -11, 22, 35, 76</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -13, 64, 97, -26, -73.

output:
<think>
Initial list: [-13, 64, 97, -26, -73]

Pass 1:
  Compare -13 and 64
  No swap needed
  Compare 64 and 97
  No swap needed
  Compare 97 and -26
  Swap 97 and -26
  List after swap: [-13, 64, -26, 97, -73]
  Compare 97 and -73
  Swap 97 and -73
  List after swap: [-13, 64, -26, -73, 97]

Pass 2:
  Compare -13 and 64
  No swap needed
  Compare 64 and -26
  Swap 64 and -26
  List after swap: [-13, -26, 64, -73, 97]
  Compare 64 and -73
  Swap 64 and -73
  List after swap: [-13, -26, -73, 64, 97]

Pass 3:
  Compare -13 and -26
  Swap -13 and -26
  List after swap: [-26, -13, -73, 64, 97]
  Compare -13 and -73
  Swap -13 and -73
  List after swap: [-26, -73, -13, 64, 97]

Pass 4:
  Compare -26 and -73
  Swap -26 and -73
  List after swap: [-73, -26, -13, 64, 97]

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

Final sorted list: [-73, -26, -13, 64, 97]
</think>

<response>-73, -26, -13, 64, 97</response>


input: Sort the list -51, -98, -60, -30, -8, 3 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-51, -98, -60, -30, -8, 3]

Pass 1:
  Compare -51 and -98
  Swap -51 and -98
  List after swap: [-98, -51, -60, -30, -8, 3]
  Compare -51 and -60
  Swap -51 and -60
  List after swap: [-98, -60, -51, -30, -8, 3]
  Compare -51 and -30
  No swap needed
  Compare -30 and -8
  No swap needed
  Compare -8 and 3
  No swap needed

Pass 2:
  Compare -98 and -60
  No swap needed
  Compare -60 and -51
  No swap needed
  Compare -51 and -30
  No swap needed
  Compare -30 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -60, -51, -30, -8, 3]
</think>

<response>-98, -60, -51, -30, -8, 3</response>


input: Using the bubble sort method, sort -67, 65 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-67, 65]

Pass 1:
  Compare -67 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, 65]
</think>

<response>-67, 65</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -18, 83, 55, -3, -96, -81, 87, -45.

output:
<think>
Initial list: [-18, 83, 55, -3, -96, -81, 87, -45]

Pass 1:
  Compare -18 and 83
  No swap needed
  Compare 83 and 55
  Swap 83 and 55
  List after swap: [-18, 55, 83, -3, -96, -81, 87, -45]
  Compare 83 and -3
  Swap 83 and -3
  List after swap: [-18, 55, -3, 83, -96, -81, 87, -45]
  Compare 83 and -96
  Swap 83 and -96
  List after swap: [-18, 55, -3, -96, 83, -81, 87, -45]
  Compare 83 and -81
  Swap 83 and -81
  List after swap: [-18, 55, -3, -96, -81, 83, 87, -45]
  Compare 83 and 87
  No swap needed
  Compare 87 and -45
  Swap 87 and -45
  List after swap: [-18, 55, -3, -96, -81, 83, -45, 87]

Pass 2:
  Compare -18 and 55
  No swap needed
  Compare 55 and -3
  Swap 55 and -3
  List after swap: [-18, -3, 55, -96, -81, 83, -45, 87]
  Compare 55 and -96
  Swap 55 and -96
  List after swap: [-18, -3, -96, 55, -81, 83, -45, 87]
  Compare 55 and -81
  Swap 55 and -81
  List after swap: [-18, -3, -96, -81, 55, 83, -45, 87]
  Compare 55 and 83
  No swap needed
  Compare 83 and -45
  Swap 83 and -45
  List after swap: [-18, -3, -96, -81, 55, -45, 83, 87]

Pass 3:
  Compare -18 and -3
  No swap needed
  Compare -3 and -96
  Swap -3 and -96
  List after swap: [-18, -96, -3, -81, 55, -45, 83, 87]
  Compare -3 and -81
  Swap -3 and -81
  List after swap: [-18, -96, -81, -3, 55, -45, 83, 87]
  Compare -3 and 55
  No swap needed
  Compare 55 and -45
  Swap 55 and -45
  List after swap: [-18, -96, -81, -3, -45, 55, 83, 87]

Pass 4:
  Compare -18 and -96
  Swap -18 and -96
  List after swap: [-96, -18, -81, -3, -45, 55, 83, 87]
  Compare -18 and -81
  Swap -18 and -81
  List after swap: [-96, -81, -18, -3, -45, 55, 83, 87]
  Compare -18 and -3
  No swap needed
  Compare -3 and -45
  Swap -3 and -45
  List after swap: [-96, -81, -18, -45, -3, 55, 83, 87]

Pass 5:
  Compare -96 and -81
  No swap needed
  Compare -81 and -18
  No swap needed
  Compare -18 and -45
  Swap -18 and -45
  List after swap: [-96, -81, -45, -18, -3, 55, 83, 87]

Pass 6:
  Compare -96 and -81
  No swap needed
  Compare -81 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -81, -45, -18, -3, 55, 83, 87]
</think>

<response>-96, -81, -45, -18, -3, 55, 83, 87</response>


input: Use the bubble sort technique to reorder 71, -35, -60, 84, -73, 25, -93, 17, 83, -95 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [71, -35, -60, 84, -73, 25, -93, 17, 83, -95]

Pass 1:
  Compare 71 and -35
  Swap 71 and -35
  List after swap: [-35, 71, -60, 84, -73, 25, -93, 17, 83, -95]
  Compare 71 and -60
  Swap 71 and -60
  List after swap: [-35, -60, 71, 84, -73, 25, -93, 17, 83, -95]
  Compare 71 and 84
  No swap needed
  Compare 84 and -73
  Swap 84 and -73
  List after swap: [-35, -60, 71, -73, 84, 25, -93, 17, 83, -95]
  Compare 84 and 25
  Swap 84 and 25
  List after swap: [-35, -60, 71, -73, 25, 84, -93, 17, 83, -95]
  Compare 84 and -93
  Swap 84 and -93
  List after swap: [-35, -60, 71, -73, 25, -93, 84, 17, 83, -95]
  Compare 84 and 17
  Swap 84 and 17
  List after swap: [-35, -60, 71, -73, 25, -93, 17, 84, 83, -95]
  Compare 84 and 83
  Swap 84 and 83
  List after swap: [-35, -60, 71, -73, 25, -93, 17, 83, 84, -95]
  Compare 84 and -95
  Swap 84 and -95
  List after swap: [-35, -60, 71, -73, 25, -93, 17, 83, -95, 84]

Pass 2:
  Compare -35 and -60
  Swap -35 and -60
  List after swap: [-60, -35, 71, -73, 25, -93, 17, 83, -95, 84]
  Compare -35 and 71
  No swap needed
  Compare 71 and -73
  Swap 71 and -73
  List after swap: [-60, -35, -73, 71, 25, -93, 17, 83, -95, 84]
  Compare 71 and 25
  Swap 71 and 25
  List after swap: [-60, -35, -73, 25, 71, -93, 17, 83, -95, 84]
  Compare 71 and -93
  Swap 71 and -93
  List after swap: [-60, -35, -73, 25, -93, 71, 17, 83, -95, 84]
  Compare 71 and 17
  Swap 71 and 17
  List after swap: [-60, -35, -73, 25, -93, 17, 71, 83, -95, 84]
  Compare 71 and 83
  No swap needed
  Compare 83 and -95
  Swap 83 and -95
  List after swap: [-60, -35, -73, 25, -93, 17, 71, -95, 83, 84]

Pass 3:
  Compare -60 and -35
  No swap needed
  Compare -35 and -73
  Swap -35 and -73
  List after swap: [-60, -73, -35, 25, -93, 17, 71, -95, 83, 84]
  Compare -35 and 25
  No swap needed
  Compare 25 and -93
  Swap 25 and -93
  List after swap: [-60, -73, -35, -93, 25, 17, 71, -95, 83, 84]
  Compare 25 and 17
  Swap 25 and 17
  List after swap: [-60, -73, -35, -93, 17, 25, 71, -95, 83, 84]
  Compare 25 and 71
  No swap needed
  Compare 71 and -95
  Swap 71 and -95
  List after swap: [-60, -73, -35, -93, 17, 25, -95, 71, 83, 84]

Pass 4:
  Compare -60 and -73
  Swap -60 and -73
  List after swap: [-73, -60, -35, -93, 17, 25, -95, 71, 83, 84]
  Compare -60 and -35
  No swap needed
  Compare -35 and -93
  Swap -35 and -93
  List after swap: [-73, -60, -93, -35, 17, 25, -95, 71, 83, 84]
  Compare -35 and 17
  No swap needed
  Compare 17 and 25
  No swap needed
  Compare 25 and -95
  Swap 25 and -95
  List after swap: [-73, -60, -93, -35, 17, -95, 25, 71, 83, 84]

Pass 5:
  Compare -73 and -60
  No swap needed
  Compare -60 and -93
  Swap -60 and -93
  List after swap: [-73, -93, -60, -35, 17, -95, 25, 71, 83, 84]
  Compare -60 and -35
  No swap needed
  Compare -35 and 17
  No swap needed
  Compare 17 and -95
  Swap 17 and -95
  List after swap: [-73, -93, -60, -35, -95, 17, 25, 71, 83, 84]

Pass 6:
  Compare -73 and -93
  Swap -73 and -93
  List after swap: [-93, -73, -60, -35, -95, 17, 25, 71, 83, 84]
  Compare -73 and -60
  No swap needed
  Compare -60 and -35
  No swap needed
  Compare -35 and -95
  Swap -35 and -95
  List after swap: [-93, -73, -60, -95, -35, 17, 25, 71, 83, 84]

Pass 7:
  Compare -93 and -73
  No swap needed
  Compare -73 and -60
  No swap needed
  Compare -60 and -95
  Swap -60 and -95
  List after swap: [-93, -73, -95, -60, -35, 17, 25, 71, 83, 84]

Pass 8:
  Compare -93 and -73
  No swap needed
  Compare -73 and -95
  Swap -73 and -95
  List after swap: [-93, -95, -73, -60, -35, 17, 25, 71, 83, 84]

Pass 9:
  Compare -93 and -95
  Swap -93 and -95
  List after swap: [-95, -93, -73, -60, -35, 17, 25, 71, 83, 84]

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

Final sorted list: [-95, -93, -73, -60, -35, 17, 25, 71, 83, 84]
</think>

<response>-95, -93, -73, -60, -35, 17, 25, 71, 83, 84</response>


input: Carry out the bubble sort algorithm on -53, 83, -51, -3, 5, 9, 94, 2, 42, 58 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-53, 83, -51, -3, 5, 9, 94, 2, 42, 58]

Pass 1:
  Compare -53 and 83
  No swap needed
  Compare 83 and -51
  Swap 83 and -51
  List after swap: [-53, -51, 83, -3, 5, 9, 94, 2, 42, 58]
  Compare 83 and -3
  Swap 83 and -3
  List after swap: [-53, -51, -3, 83, 5, 9, 94, 2, 42, 58]
  Compare 83 and 5
  Swap 83 and 5
  List after swap: [-53, -51, -3, 5, 83, 9, 94, 2, 42, 58]
  Compare 83 and 9
  Swap 83 and 9
  List after swap: [-53, -51, -3, 5, 9, 83, 94, 2, 42, 58]
  Compare 83 and 94
  No swap needed
  Compare 94 and 2
  Swap 94 and 2
  List after swap: [-53, -51, -3, 5, 9, 83, 2, 94, 42, 58]
  Compare 94 and 42
  Swap 94 and 42
  List after swap: [-53, -51, -3, 5, 9, 83, 2, 42, 94, 58]
  Compare 94 and 58
  Swap 94 and 58
  List after swap: [-53, -51, -3, 5, 9, 83, 2, 42, 58, 94]

Pass 2:
  Compare -53 and -51
  No swap needed
  Compare -51 and -3
  No swap needed
  Compare -3 and 5
  No swap needed
  Compare 5 and 9
  No swap needed
  Compare 9 and 83
  No swap needed
  Compare 83 and 2
  Swap 83 and 2
  List after swap: [-53, -51, -3, 5, 9, 2, 83, 42, 58, 94]
  Compare 83 and 42
  Swap 83 and 42
  List after swap: [-53, -51, -3, 5, 9, 2, 42, 83, 58, 94]
  Compare 83 and 58
  Swap 83 and 58
  List after swap: [-53, -51, -3, 5, 9, 2, 42, 58, 83, 94]

Pass 3:
  Compare -53 and -51
  No swap needed
  Compare -51 and -3
  No swap needed
  Compare -3 and 5
  No swap needed
  Compare 5 and 9
  No swap needed
  Compare 9 and 2
  Swap 9 and 2
  List after swap: [-53, -51, -3, 5, 2, 9, 42, 58, 83, 94]
  Compare 9 and 42
  No swap needed
  Compare 42 and 58
  No swap needed

Pass 4:
  Compare -53 and -51
  No swap needed
  Compare -51 and -3
  No swap needed
  Compare -3 and 5
  No swap needed
  Compare 5 and 2
  Swap 5 and 2
  List after swap: [-53, -51, -3, 2, 5, 9, 42, 58, 83, 94]
  Compare 5 and 9
  No swap needed
  Compare 9 and 42
  No swap needed

Pass 5:
  Compare -53 and -51
  No swap needed
  Compare -51 and -3
  No swap needed
  Compare -3 and 2
  No swap needed
  Compare 2 and 5
  No swap needed
  Compare 5 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -51, -3, 2, 5, 9, 42, 58, 83, 94]
</think>

<response>-53, -51, -3, 2, 5, 9, 42, 58, 83, 94</response>


input: Sort these integers 45, 85, 64, 1, 15, 27 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [45, 85, 64, 1, 15, 27]

Pass 1:
  Compare 45 and 85
  No swap needed
  Compare 85 and 64
  Swap 85 and 64
  List after swap: [45, 64, 85, 1, 15, 27]
  Compare 85 and 1
  Swap 85 and 1
  List after swap: [45, 64, 1, 85, 15, 27]
  Compare 85 and 15
  Swap 85 and 15
  List after swap: [45, 64, 1, 15, 85, 27]
  Compare 85 and 27
  Swap 85 and 27
  List after swap: [45, 64, 1, 15, 27, 85]

Pass 2:
  Compare 45 and 64
  No swap needed
  Compare 64 and 1
  Swap 64 and 1
  List after swap: [45, 1, 64, 15, 27, 85]
  Compare 64 and 15
  Swap 64 and 15
  List after swap: [45, 1, 15, 64, 27, 85]
  Compare 64 and 27
  Swap 64 and 27
  List after swap: [45, 1, 15, 27, 64, 85]

Pass 3:
  Compare 45 and 1
  Swap 45 and 1
  List after swap: [1, 45, 15, 27, 64, 85]
  Compare 45 and 15
  Swap 45 and 15
  List after swap: [1, 15, 45, 27, 64, 85]
  Compare 45 and 27
  Swap 45 and 27
  List after swap: [1, 15, 27, 45, 64, 85]

Pass 4:
  Compare 1 and 15
  No swap needed
  Compare 15 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [1, 15, 27, 45, 64, 85]
</think>

<response>1, 15, 27, 45, 64, 85</response>


input: Using the bubble sort method, sort -68, 60, -4, -17, 87, -93, 67, 34, -42, 17 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-68, 60, -4, -17, 87, -93, 67, 34, -42, 17]

Pass 1:
  Compare -68 and 60
  No swap needed
  Compare 60 and -4
  Swap 60 and -4
  List after swap: [-68, -4, 60, -17, 87, -93, 67, 34, -42, 17]
  Compare 60 and -17
  Swap 60 and -17
  List after swap: [-68, -4, -17, 60, 87, -93, 67, 34, -42, 17]
  Compare 60 and 87
  No swap needed
  Compare 87 and -93
  Swap 87 and -93
  List after swap: [-68, -4, -17, 60, -93, 87, 67, 34, -42, 17]
  Compare 87 and 67
  Swap 87 and 67
  List after swap: [-68, -4, -17, 60, -93, 67, 87, 34, -42, 17]
  Compare 87 and 34
  Swap 87 and 34
  List after swap: [-68, -4, -17, 60, -93, 67, 34, 87, -42, 17]
  Compare 87 and -42
  Swap 87 and -42
  List after swap: [-68, -4, -17, 60, -93, 67, 34, -42, 87, 17]
  Compare 87 and 17
  Swap 87 and 17
  List after swap: [-68, -4, -17, 60, -93, 67, 34, -42, 17, 87]

Pass 2:
  Compare -68 and -4
  No swap needed
  Compare -4 and -17
  Swap -4 and -17
  List after swap: [-68, -17, -4, 60, -93, 67, 34, -42, 17, 87]
  Compare -4 and 60
  No swap needed
  Compare 60 and -93
  Swap 60 and -93
  List after swap: [-68, -17, -4, -93, 60, 67, 34, -42, 17, 87]
  Compare 60 and 67
  No swap needed
  Compare 67 and 34
  Swap 67 and 34
  List after swap: [-68, -17, -4, -93, 60, 34, 67, -42, 17, 87]
  Compare 67 and -42
  Swap 67 and -42
  List after swap: [-68, -17, -4, -93, 60, 34, -42, 67, 17, 87]
  Compare 67 and 17
  Swap 67 and 17
  List after swap: [-68, -17, -4, -93, 60, 34, -42, 17, 67, 87]

Pass 3:
  Compare -68 and -17
  No swap needed
  Compare -17 and -4
  No swap needed
  Compare -4 and -93
  Swap -4 and -93
  List after swap: [-68, -17, -93, -4, 60, 34, -42, 17, 67, 87]
  Compare -4 and 60
  No swap needed
  Compare 60 and 34
  Swap 60 and 34
  List after swap: [-68, -17, -93, -4, 34, 60, -42, 17, 67, 87]
  Compare 60 and -42
  Swap 60 and -42
  List after swap: [-68, -17, -93, -4, 34, -42, 60, 17, 67, 87]
  Compare 60 and 17
  Swap 60 and 17
  List after swap: [-68, -17, -93, -4, 34, -42, 17, 60, 67, 87]

Pass 4:
  Compare -68 and -17
  No swap needed
  Compare -17 and -93
  Swap -17 and -93
  List after swap: [-68, -93, -17, -4, 34, -42, 17, 60, 67, 87]
  Compare -17 and -4
  No swap needed
  Compare -4 and 34
  No swap needed
  Compare 34 and -42
  Swap 34 and -42
  List after swap: [-68, -93, -17, -4, -42, 34, 17, 60, 67, 87]
  Compare 34 and 17
  Swap 34 and 17
  List after swap: [-68, -93, -17, -4, -42, 17, 34, 60, 67, 87]

Pass 5:
  Compare -68 and -93
  Swap -68 and -93
  List after swap: [-93, -68, -17, -4, -42, 17, 34, 60, 67, 87]
  Compare -68 and -17
  No swap needed
  Compare -17 and -4
  No swap needed
  Compare -4 and -42
  Swap -4 and -42
  List after swap: [-93, -68, -17, -42, -4, 17, 34, 60, 67, 87]
  Compare -4 and 17
  No swap needed

Pass 6:
  Compare -93 and -68
  No swap needed
  Compare -68 and -17
  No swap needed
  Compare -17 and -42
  Swap -17 and -42
  List after swap: [-93, -68, -42, -17, -4, 17, 34, 60, 67, 87]
  Compare -17 and -4
  No swap needed

Pass 7:
  Compare -93 and -68
  No swap needed
  Compare -68 and -42
  No swap needed
  Compare -42 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -68, -42, -17, -4, 17, 34, 60, 67, 87]
</think>

<response>-93, -68, -42, -17, -4, 17, 34, 60, 67, 87</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -2, -88, -43, 60, 21, 18, -65.

output:
<think>
Initial list: [-2, -88, -43, 60, 21, 18, -65]

Pass 1:
  Compare -2 and -88
  Swap -2 and -88
  List after swap: [-88, -2, -43, 60, 21, 18, -65]
  Compare -2 and -43
  Swap -2 and -43
  List after swap: [-88, -43, -2, 60, 21, 18, -65]
  Compare -2 and 60
  No swap needed
  Compare 60 and 21
  Swap 60 and 21
  List after swap: [-88, -43, -2, 21, 60, 18, -65]
  Compare 60 and 18
  Swap 60 and 18
  List after swap: [-88, -43, -2, 21, 18, 60, -65]
  Compare 60 and -65
  Swap 60 and -65
  List after swap: [-88, -43, -2, 21, 18, -65, 60]

Pass 2:
  Compare -88 and -43
  No swap needed
  Compare -43 and -2
  No swap needed
  Compare -2 and 21
  No swap needed
  Compare 21 and 18
  Swap 21 and 18
  List after swap: [-88, -43, -2, 18, 21, -65, 60]
  Compare 21 and -65
  Swap 21 and -65
  List after swap: [-88, -43, -2, 18, -65, 21, 60]

Pass 3:
  Compare -88 and -43
  No swap needed
  Compare -43 and -2
  No swap needed
  Compare -2 and 18
  No swap needed
  Compare 18 and -65
  Swap 18 and -65
  List after swap: [-88, -43, -2, -65, 18, 21, 60]

Pass 4:
  Compare -88 and -43
  No swap needed
  Compare -43 and -2
  No swap needed
  Compare -2 and -65
  Swap -2 and -65
  List after swap: [-88, -43, -65, -2, 18, 21, 60]

Pass 5:
  Compare -88 and -43
  No swap needed
  Compare -43 and -65
  Swap -43 and -65
  List after swap: [-88, -65, -43, -2, 18, 21, 60]

Pass 6:
  Compare -88 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -65, -43, -2, 18, 21, 60]
</think>

<response>-88, -65, -43, -2, 18, 21, 60</response>


input: Use the bubble sort technique to reorder 8, 25 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [8, 25]

Pass 1:
  Compare 8 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [8, 25]
</think>

<response>8, 25</response>


input: Arrange the numbers -43, -70, -69, 89, -84, -82, 54, -96 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-43, -70, -69, 89, -84, -82, 54, -96]

Pass 1:
  Compare -43 and -70
  Swap -43 and -70
  List after swap: [-70, -43, -69, 89, -84, -82, 54, -96]
  Compare -43 and -69
  Swap -43 and -69
  List after swap: [-70, -69, -43, 89, -84, -82, 54, -96]
  Compare -43 and 89
  No swap needed
  Compare 89 and -84
  Swap 89 and -84
  List after swap: [-70, -69, -43, -84, 89, -82, 54, -96]
  Compare 89 and -82
  Swap 89 and -82
  List after swap: [-70, -69, -43, -84, -82, 89, 54, -96]
  Compare 89 and 54
  Swap 89 and 54
  List after swap: [-70, -69, -43, -84, -82, 54, 89, -96]
  Compare 89 and -96
  Swap 89 and -96
  List after swap: [-70, -69, -43, -84, -82, 54, -96, 89]

Pass 2:
  Compare -70 and -69
  No swap needed
  Compare -69 and -43
  No swap needed
  Compare -43 and -84
  Swap -43 and -84
  List after swap: [-70, -69, -84, -43, -82, 54, -96, 89]
  Compare -43 and -82
  Swap -43 and -82
  List after swap: [-70, -69, -84, -82, -43, 54, -96, 89]
  Compare -43 and 54
  No swap needed
  Compare 54 and -96
  Swap 54 and -96
  List after swap: [-70, -69, -84, -82, -43, -96, 54, 89]

Pass 3:
  Compare -70 and -69
  No swap needed
  Compare -69 and -84
  Swap -69 and -84
  List after swap: [-70, -84, -69, -82, -43, -96, 54, 89]
  Compare -69 and -82
  Swap -69 and -82
  List after swap: [-70, -84, -82, -69, -43, -96, 54, 89]
  Compare -69 and -43
  No swap needed
  Compare -43 and -96
  Swap -43 and -96
  List after swap: [-70, -84, -82, -69, -96, -43, 54, 89]

Pass 4:
  Compare -70 and -84
  Swap -70 and -84
  List after swap: [-84, -70, -82, -69, -96, -43, 54, 89]
  Compare -70 and -82
  Swap -70 and -82
  List after swap: [-84, -82, -70, -69, -96, -43, 54, 89]
  Compare -70 and -69
  No swap needed
  Compare -69 and -96
  Swap -69 and -96
  List after swap: [-84, -82, -70, -96, -69, -43, 54, 89]

Pass 5:
  Compare -84 and -82
  No swap needed
  Compare -82 and -70
  No swap needed
  Compare -70 and -96
  Swap -70 and -96
  List after swap: [-84, -82, -96, -70, -69, -43, 54, 89]

Pass 6:
  Compare -84 and -82
  No swap needed
  Compare -82 and -96
  Swap -82 and -96
  List after swap: [-84, -96, -82, -70, -69, -43, 54, 89]

Pass 7:
  Compare -84 and -96
  Swap -84 and -96
  List after swap: [-96, -84, -82, -70, -69, -43, 54, 89]

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

Final sorted list: [-96, -84, -82, -70, -69, -43, 54, 89]
</think>

<response>-96, -84, -82, -70, -69, -43, 54, 89</response>


input: Arrange the numbers 5, -22, 95, 81, 61 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [5, -22, 95, 81, 61]

Pass 1:
  Compare 5 and -22
  Swap 5 and -22
  List after swap: [-22, 5, 95, 81, 61]
  Compare 5 and 95
  No swap needed
  Compare 95 and 81
  Swap 95 and 81
  List after swap: [-22, 5, 81, 95, 61]
  Compare 95 and 61
  Swap 95 and 61
  List after swap: [-22, 5, 81, 61, 95]

Pass 2:
  Compare -22 and 5
  No swap needed
  Compare 5 and 81
  No swap needed
  Compare 81 and 61
  Swap 81 and 61
  List after swap: [-22, 5, 61, 81, 95]

Pass 3:
  Compare -22 and 5
  No swap needed
  Compare 5 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, 5, 61, 81, 95]
</think>

<response>-22, 5, 61, 81, 95</response>


input: Carry out the bubble sort algorithm on -88, 57, 39, 94, 69, 90, -70 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-88, 57, 39, 94, 69, 90, -70]

Pass 1:
  Compare -88 and 57
  No swap needed
  Compare 57 and 39
  Swap 57 and 39
  List after swap: [-88, 39, 57, 94, 69, 90, -70]
  Compare 57 and 94
  No swap needed
  Compare 94 and 69
  Swap 94 and 69
  List after swap: [-88, 39, 57, 69, 94, 90, -70]
  Compare 94 and 90
  Swap 94 and 90
  List after swap: [-88, 39, 57, 69, 90, 94, -70]
  Compare 94 and -70
  Swap 94 and -70
  List after swap: [-88, 39, 57, 69, 90, -70, 94]

Pass 2:
  Compare -88 and 39
  No swap needed
  Compare 39 and 57
  No swap needed
  Compare 57 and 69
  No swap needed
  Compare 69 and 90
  No swap needed
  Compare 90 and -70
  Swap 90 and -70
  List after swap: [-88, 39, 57, 69, -70, 90, 94]

Pass 3:
  Compare -88 and 39
  No swap needed
  Compare 39 and 57
  No swap needed
  Compare 57 and 69
  No swap needed
  Compare 69 and -70
  Swap 69 and -70
  List after swap: [-88, 39, 57, -70, 69, 90, 94]

Pass 4:
  Compare -88 and 39
  No swap needed
  Compare 39 and 57
  No swap needed
  Compare 57 and -70
  Swap 57 and -70
  List after swap: [-88, 39, -70, 57, 69, 90, 94]

Pass 5:
  Compare -88 and 39
  No swap needed
  Compare 39 and -70
  Swap 39 and -70
  List after swap: [-88, -70, 39, 57, 69, 90, 94]

Pass 6:
  Compare -88 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -70, 39, 57, 69, 90, 94]
</think>

<response>-88, -70, 39, 57, 69, 90, 94</response>


input: Use the bubble sort technique to reorder 62, -61, 50, 1, 43, -68, -32, -34, -53, -17 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [62, -61, 50, 1, 43, -68, -32, -34, -53, -17]

Pass 1:
  Compare 62 and -61
  Swap 62 and -61
  List after swap: [-61, 62, 50, 1, 43, -68, -32, -34, -53, -17]
  Compare 62 and 50
  Swap 62 and 50
  List after swap: [-61, 50, 62, 1, 43, -68, -32, -34, -53, -17]
  Compare 62 and 1
  Swap 62 and 1
  List after swap: [-61, 50, 1, 62, 43, -68, -32, -34, -53, -17]
  Compare 62 and 43
  Swap 62 and 43
  List after swap: [-61, 50, 1, 43, 62, -68, -32, -34, -53, -17]
  Compare 62 and -68
  Swap 62 and -68
  List after swap: [-61, 50, 1, 43, -68, 62, -32, -34, -53, -17]
  Compare 62 and -32
  Swap 62 and -32
  List after swap: [-61, 50, 1, 43, -68, -32, 62, -34, -53, -17]
  Compare 62 and -34
  Swap 62 and -34
  List after swap: [-61, 50, 1, 43, -68, -32, -34, 62, -53, -17]
  Compare 62 and -53
  Swap 62 and -53
  List after swap: [-61, 50, 1, 43, -68, -32, -34, -53, 62, -17]
  Compare 62 and -17
  Swap 62 and -17
  List after swap: [-61, 50, 1, 43, -68, -32, -34, -53, -17, 62]

Pass 2:
  Compare -61 and 50
  No swap needed
  Compare 50 and 1
  Swap 50 and 1
  List after swap: [-61, 1, 50, 43, -68, -32, -34, -53, -17, 62]
  Compare 50 and 43
  Swap 50 and 43
  List after swap: [-61, 1, 43, 50, -68, -32, -34, -53, -17, 62]
  Compare 50 and -68
  Swap 50 and -68
  List after swap: [-61, 1, 43, -68, 50, -32, -34, -53, -17, 62]
  Compare 50 and -32
  Swap 50 and -32
  List after swap: [-61, 1, 43, -68, -32, 50, -34, -53, -17, 62]
  Compare 50 and -34
  Swap 50 and -34
  List after swap: [-61, 1, 43, -68, -32, -34, 50, -53, -17, 62]
  Compare 50 and -53
  Swap 50 and -53
  List after swap: [-61, 1, 43, -68, -32, -34, -53, 50, -17, 62]
  Compare 50 and -17
  Swap 50 and -17
  List after swap: [-61, 1, 43, -68, -32, -34, -53, -17, 50, 62]

Pass 3:
  Compare -61 and 1
  No swap needed
  Compare 1 and 43
  No swap needed
  Compare 43 and -68
  Swap 43 and -68
  List after swap: [-61, 1, -68, 43, -32, -34, -53, -17, 50, 62]
  Compare 43 and -32
  Swap 43 and -32
  List after swap: [-61, 1, -68, -32, 43, -34, -53, -17, 50, 62]
  Compare 43 and -34
  Swap 43 and -34
  List after swap: [-61, 1, -68, -32, -34, 43, -53, -17, 50, 62]
  Compare 43 and -53
  Swap 43 and -53
  List after swap: [-61, 1, -68, -32, -34, -53, 43, -17, 50, 62]
  Compare 43 and -17
  Swap 43 and -17
  List after swap: [-61, 1, -68, -32, -34, -53, -17, 43, 50, 62]

Pass 4:
  Compare -61 and 1
  No swap needed
  Compare 1 and -68
  Swap 1 and -68
  List after swap: [-61, -68, 1, -32, -34, -53, -17, 43, 50, 62]
  Compare 1 and -32
  Swap 1 and -32
  List after swap: [-61, -68, -32, 1, -34, -53, -17, 43, 50, 62]
  Compare 1 and -34
  Swap 1 and -34
  List after swap: [-61, -68, -32, -34, 1, -53, -17, 43, 50, 62]
  Compare 1 and -53
  Swap 1 and -53
  List after swap: [-61, -68, -32, -34, -53, 1, -17, 43, 50, 62]
  Compare 1 and -17
  Swap 1 and -17
  List after swap: [-61, -68, -32, -34, -53, -17, 1, 43, 50, 62]

Pass 5:
  Compare -61 and -68
  Swap -61 and -68
  List after swap: [-68, -61, -32, -34, -53, -17, 1, 43, 50, 62]
  Compare -61 and -32
  No swap needed
  Compare -32 and -34
  Swap -32 and -34
  List after swap: [-68, -61, -34, -32, -53, -17, 1, 43, 50, 62]
  Compare -32 and -53
  Swap -32 and -53
  List after swap: [-68, -61, -34, -53, -32, -17, 1, 43, 50, 62]
  Compare -32 and -17
  No swap needed

Pass 6:
  Compare -68 and -61
  No swap needed
  Compare -61 and -34
  No swap needed
  Compare -34 and -53
  Swap -34 and -53
  List after swap: [-68, -61, -53, -34, -32, -17, 1, 43, 50, 62]
  Compare -34 and -32
  No swap needed

Pass 7:
  Compare -68 and -61
  No swap needed
  Compare -61 and -53
  No swap needed
  Compare -53 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -61, -53, -34, -32, -17, 1, 43, 50, 62]
</think>

<response>-68, -61, -53, -34, -32, -17, 1, 43, 50, 62</response>


input: Sort these integers 27, -71, -23, 66, -32, -68, 25 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [27, -71, -23, 66, -32, -68, 25]

Pass 1:
  Compare 27 and -71
  Swap 27 and -71
  List after swap: [-71, 27, -23, 66, -32, -68, 25]
  Compare 27 and -23
  Swap 27 and -23
  List after swap: [-71, -23, 27, 66, -32, -68, 25]
  Compare 27 and 66
  No swap needed
  Compare 66 and -32
  Swap 66 and -32
  List after swap: [-71, -23, 27, -32, 66, -68, 25]
  Compare 66 and -68
  Swap 66 and -68
  List after swap: [-71, -23, 27, -32, -68, 66, 25]
  Compare 66 and 25
  Swap 66 and 25
  List after swap: [-71, -23, 27, -32, -68, 25, 66]

Pass 2:
  Compare -71 and -23
  No swap needed
  Compare -23 and 27
  No swap needed
  Compare 27 and -32
  Swap 27 and -32
  List after swap: [-71, -23, -32, 27, -68, 25, 66]
  Compare 27 and -68
  Swap 27 and -68
  List after swap: [-71, -23, -32, -68, 27, 25, 66]
  Compare 27 and 25
  Swap 27 and 25
  List after swap: [-71, -23, -32, -68, 25, 27, 66]

Pass 3:
  Compare -71 and -23
  No swap needed
  Compare -23 and -32
  Swap -23 and -32
  List after swap: [-71, -32, -23, -68, 25, 27, 66]
  Compare -23 and -68
  Swap -23 and -68
  List after swap: [-71, -32, -68, -23, 25, 27, 66]
  Compare -23 and 25
  No swap needed

Pass 4:
  Compare -71 and -32
  No swap needed
  Compare -32 and -68
  Swap -32 and -68
  List after swap: [-71, -68, -32, -23, 25, 27, 66]
  Compare -32 and -23
  No swap needed

Pass 5:
  Compare -71 and -68
  No swap needed
  Compare -68 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -68, -32, -23, 25, 27, 66]
</think>

<response>-71, -68, -32, -23, 25, 27, 66</response>


input: Perform a bubble sort on the integers -92, 21, 73, 61, 62, -22, -65, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-92, 21, 73, 61, 62, -22, -65]

Pass 1:
  Compare -92 and 21
  No swap needed
  Compare 21 and 73
  No swap needed
  Compare 73 and 61
  Swap 73 and 61
  List after swap: [-92, 21, 61, 73, 62, -22, -65]
  Compare 73 and 62
  Swap 73 and 62
  List after swap: [-92, 21, 61, 62, 73, -22, -65]
  Compare 73 and -22
  Swap 73 and -22
  List after swap: [-92, 21, 61, 62, -22, 73, -65]
  Compare 73 and -65
  Swap 73 and -65
  List after swap: [-92, 21, 61, 62, -22, -65, 73]

Pass 2:
  Compare -92 and 21
  No swap needed
  Compare 21 and 61
  No swap needed
  Compare 61 and 62
  No swap needed
  Compare 62 and -22
  Swap 62 and -22
  List after swap: [-92, 21, 61, -22, 62, -65, 73]
  Compare 62 and -65
  Swap 62 and -65
  List after swap: [-92, 21, 61, -22, -65, 62, 73]

Pass 3:
  Compare -92 and 21
  No swap needed
  Compare 21 and 61
  No swap needed
  Compare 61 and -22
  Swap 61 and -22
  List after swap: [-92, 21, -22, 61, -65, 62, 73]
  Compare 61 and -65
  Swap 61 and -65
  List after swap: [-92, 21, -22, -65, 61, 62, 73]

Pass 4:
  Compare -92 and 21
  No swap needed
  Compare 21 and -22
  Swap 21 and -22
  List after swap: [-92, -22, 21, -65, 61, 62, 73]
  Compare 21 and -65
  Swap 21 and -65
  List after swap: [-92, -22, -65, 21, 61, 62, 73]

Pass 5:
  Compare -92 and -22
  No swap needed
  Compare -22 and -65
  Swap -22 and -65
  List after swap: [-92, -65, -22, 21, 61, 62, 73]

Pass 6:
  Compare -92 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -65, -22, 21, 61, 62, 73]
</think>

<response>-92, -65, -22, 21, 61, 62, 73</response>


input: Sort these integers 43, -64, 88, 61, 78, 3, 32, 13, 34 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [43, -64, 88, 61, 78, 3, 32, 13, 34]

Pass 1:
  Compare 43 and -64
  Swap 43 and -64
  List after swap: [-64, 43, 88, 61, 78, 3, 32, 13, 34]
  Compare 43 and 88
  No swap needed
  Compare 88 and 61
  Swap 88 and 61
  List after swap: [-64, 43, 61, 88, 78, 3, 32, 13, 34]
  Compare 88 and 78
  Swap 88 and 78
  List after swap: [-64, 43, 61, 78, 88, 3, 32, 13, 34]
  Compare 88 and 3
  Swap 88 and 3
  List after swap: [-64, 43, 61, 78, 3, 88, 32, 13, 34]
  Compare 88 and 32
  Swap 88 and 32
  List after swap: [-64, 43, 61, 78, 3, 32, 88, 13, 34]
  Compare 88 and 13
  Swap 88 and 13
  List after swap: [-64, 43, 61, 78, 3, 32, 13, 88, 34]
  Compare 88 and 34
  Swap 88 and 34
  List after swap: [-64, 43, 61, 78, 3, 32, 13, 34, 88]

Pass 2:
  Compare -64 and 43
  No swap needed
  Compare 43 and 61
  No swap needed
  Compare 61 and 78
  No swap needed
  Compare 78 and 3
  Swap 78 and 3
  List after swap: [-64, 43, 61, 3, 78, 32, 13, 34, 88]
  Compare 78 and 32
  Swap 78 and 32
  List after swap: [-64, 43, 61, 3, 32, 78, 13, 34, 88]
  Compare 78 and 13
  Swap 78 and 13
  List after swap: [-64, 43, 61, 3, 32, 13, 78, 34, 88]
  Compare 78 and 34
  Swap 78 and 34
  List after swap: [-64, 43, 61, 3, 32, 13, 34, 78, 88]

Pass 3:
  Compare -64 and 43
  No swap needed
  Compare 43 and 61
  No swap needed
  Compare 61 and 3
  Swap 61 and 3
  List after swap: [-64, 43, 3, 61, 32, 13, 34, 78, 88]
  Compare 61 and 32
  Swap 61 and 32
  List after swap: [-64, 43, 3, 32, 61, 13, 34, 78, 88]
  Compare 61 and 13
  Swap 61 and 13
  List after swap: [-64, 43, 3, 32, 13, 61, 34, 78, 88]
  Compare 61 and 34
  Swap 61 and 34
  List after swap: [-64, 43, 3, 32, 13, 34, 61, 78, 88]

Pass 4:
  Compare -64 and 43
  No swap needed
  Compare 43 and 3
  Swap 43 and 3
  List after swap: [-64, 3, 43, 32, 13, 34, 61, 78, 88]
  Compare 43 and 32
  Swap 43 and 32
  List after swap: [-64, 3, 32, 43, 13, 34, 61, 78, 88]
  Compare 43 and 13
  Swap 43 and 13
  List after swap: [-64, 3, 32, 13, 43, 34, 61, 78, 88]
  Compare 43 and 34
  Swap 43 and 34
  List after swap: [-64, 3, 32, 13, 34, 43, 61, 78, 88]

Pass 5:
  Compare -64 and 3
  No swap needed
  Compare 3 and 32
  No swap needed
  Compare 32 and 13
  Swap 32 and 13
  List after swap: [-64, 3, 13, 32, 34, 43, 61, 78, 88]
  Compare 32 and 34
  No swap needed

Pass 6:
  Compare -64 and 3
  No swap needed
  Compare 3 and 13
  No swap needed
  Compare 13 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, 3, 13, 32, 34, 43, 61, 78, 88]
</think>

<response>-64, 3, 13, 32, 34, 43, 61, 78, 88</response>


input: Using the bubble sort method, sort 0, -56, 42 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [0, -56, 42]

Pass 1:
  Compare 0 and -56
  Swap 0 and -56
  List after swap: [-56, 0, 42]
  Compare 0 and 42
  No swap needed

Pass 2:
  Compare -56 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, 0, 42]
</think>

<response>-56, 0, 42</response>


input: Execute bubble sort to sort 4, -74, -35, -45, -5, -33 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [4, -74, -35, -45, -5, -33]

Pass 1:
  Compare 4 and -74
  Swap 4 and -74
  List after swap: [-74, 4, -35, -45, -5, -33]
  Compare 4 and -35
  Swap 4 and -35
  List after swap: [-74, -35, 4, -45, -5, -33]
  Compare 4 and -45
  Swap 4 and -45
  List after swap: [-74, -35, -45, 4, -5, -33]
  Compare 4 and -5
  Swap 4 and -5
  List after swap: [-74, -35, -45, -5, 4, -33]
  Compare 4 and -33
  Swap 4 and -33
  List after swap: [-74, -35, -45, -5, -33, 4]

Pass 2:
  Compare -74 and -35
  No swap needed
  Compare -35 and -45
  Swap -35 and -45
  List after swap: [-74, -45, -35, -5, -33, 4]
  Compare -35 and -5
  No swap needed
  Compare -5 and -33
  Swap -5 and -33
  List after swap: [-74, -45, -35, -33, -5, 4]

Pass 3:
  Compare -74 and -45
  No swap needed
  Compare -45 and -35
  No swap needed
  Compare -35 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -45, -35, -33, -5, 4]
</think>

<response>-74, -45, -35, -33, -5, 4</response>


input: Carry out the bubble sort algorithm on -23, 72, -28, -85 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-23, 72, -28, -85]

Pass 1:
  Compare -23 and 72
  No swap needed
  Compare 72 and -28
  Swap 72 and -28
  List after swap: [-23, -28, 72, -85]
  Compare 72 and -85
  Swap 72 and -85
  List after swap: [-23, -28, -85, 72]

Pass 2:
  Compare -23 and -28
  Swap -23 and -28
  List after swap: [-28, -23, -85, 72]
  Compare -23 and -85
  Swap -23 and -85
  List after swap: [-28, -85, -23, 72]

Pass 3:
  Compare -28 and -85
  Swap -28 and -85
  List after swap: [-85, -28, -23, 72]

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

Final sorted list: [-85, -28, -23, 72]
</think>

<response>-85, -28, -23, 72</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -31, 44, -34, 79, 41, -33, -28, -49, -40, -22.

output:
<think>
Initial list: [-31, 44, -34, 79, 41, -33, -28, -49, -40, -22]

Pass 1:
  Compare -31 and 44
  No swap needed
  Compare 44 and -34
  Swap 44 and -34
  List after swap: [-31, -34, 44, 79, 41, -33, -28, -49, -40, -22]
  Compare 44 and 79
  No swap needed
  Compare 79 and 41
  Swap 79 and 41
  List after swap: [-31, -34, 44, 41, 79, -33, -28, -49, -40, -22]
  Compare 79 and -33
  Swap 79 and -33
  List after swap: [-31, -34, 44, 41, -33, 79, -28, -49, -40, -22]
  Compare 79 and -28
  Swap 79 and -28
  List after swap: [-31, -34, 44, 41, -33, -28, 79, -49, -40, -22]
  Compare 79 and -49
  Swap 79 and -49
  List after swap: [-31, -34, 44, 41, -33, -28, -49, 79, -40, -22]
  Compare 79 and -40
  Swap 79 and -40
  List after swap: [-31, -34, 44, 41, -33, -28, -49, -40, 79, -22]
  Compare 79 and -22
  Swap 79 and -22
  List after swap: [-31, -34, 44, 41, -33, -28, -49, -40, -22, 79]

Pass 2:
  Compare -31 and -34
  Swap -31 and -34
  List after swap: [-34, -31, 44, 41, -33, -28, -49, -40, -22, 79]
  Compare -31 and 44
  No swap needed
  Compare 44 and 41
  Swap 44 and 41
  List after swap: [-34, -31, 41, 44, -33, -28, -49, -40, -22, 79]
  Compare 44 and -33
  Swap 44 and -33
  List after swap: [-34, -31, 41, -33, 44, -28, -49, -40, -22, 79]
  Compare 44 and -28
  Swap 44 and -28
  List after swap: [-34, -31, 41, -33, -28, 44, -49, -40, -22, 79]
  Compare 44 and -49
  Swap 44 and -49
  List after swap: [-34, -31, 41, -33, -28, -49, 44, -40, -22, 79]
  Compare 44 and -40
  Swap 44 and -40
  List after swap: [-34, -31, 41, -33, -28, -49, -40, 44, -22, 79]
  Compare 44 and -22
  Swap 44 and -22
  List after swap: [-34, -31, 41, -33, -28, -49, -40, -22, 44, 79]

Pass 3:
  Compare -34 and -31
  No swap needed
  Compare -31 and 41
  No swap needed
  Compare 41 and -33
  Swap 41 and -33
  List after swap: [-34, -31, -33, 41, -28, -49, -40, -22, 44, 79]
  Compare 41 and -28
  Swap 41 and -28
  List after swap: [-34, -31, -33, -28, 41, -49, -40, -22, 44, 79]
  Compare 41 and -49
  Swap 41 and -49
  List after swap: [-34, -31, -33, -28, -49, 41, -40, -22, 44, 79]
  Compare 41 and -40
  Swap 41 and -40
  List after swap: [-34, -31, -33, -28, -49, -40, 41, -22, 44, 79]
  Compare 41 and -22
  Swap 41 and -22
  List after swap: [-34, -31, -33, -28, -49, -40, -22, 41, 44, 79]

Pass 4:
  Compare -34 and -31
  No swap needed
  Compare -31 and -33
  Swap -31 and -33
  List after swap: [-34, -33, -31, -28, -49, -40, -22, 41, 44, 79]
  Compare -31 and -28
  No swap needed
  Compare -28 and -49
  Swap -28 and -49
  List after swap: [-34, -33, -31, -49, -28, -40, -22, 41, 44, 79]
  Compare -28 and -40
  Swap -28 and -40
  List after swap: [-34, -33, -31, -49, -40, -28, -22, 41, 44, 79]
  Compare -28 and -22
  No swap needed

Pass 5:
  Compare -34 and -33
  No swap needed
  Compare -33 and -31
  No swap needed
  Compare -31 and -49
  Swap -31 and -49
  List after swap: [-34, -33, -49, -31, -40, -28, -22, 41, 44, 79]
  Compare -31 and -40
  Swap -31 and -40
  List after swap: [-34, -33, -49, -40, -31, -28, -22, 41, 44, 79]
  Compare -31 and -28
  No swap needed

Pass 6:
  Compare -34 and -33
  No swap needed
  Compare -33 and -49
  Swap -33 and -49
  List after swap: [-34, -49, -33, -40, -31, -28, -22, 41, 44, 79]
  Compare -33 and -40
  Swap -33 and -40
  List after swap: [-34, -49, -40, -33, -31, -28, -22, 41, 44, 79]
  Compare -33 and -31
  No swap needed

Pass 7:
  Compare -34 and -49
  Swap -34 and -49
  List after swap: [-49, -34, -40, -33, -31, -28, -22, 41, 44, 79]
  Compare -34 and -40
  Swap -34 and -40
  List after swap: [-49, -40, -34, -33, -31, -28, -22, 41, 44, 79]
  Compare -34 and -33
  No swap needed

Pass 8:
  Compare -49 and -40
  No swap needed
  Compare -40 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -40, -34, -33, -31, -28, -22, 41, 44, 79]
</think>

<response>-49, -40, -34, -33, -31, -28, -22, 41, 44, 79</response>


input: Sort these integers 66, 61, -65, -96, 54, 53, 99, -19 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [66, 61, -65, -96, 54, 53, 99, -19]

Pass 1:
  Compare 66 and 61
  Swap 66 and 61
  List after swap: [61, 66, -65, -96, 54, 53, 99, -19]
  Compare 66 and -65
  Swap 66 and -65
  List after swap: [61, -65, 66, -96, 54, 53, 99, -19]
  Compare 66 and -96
  Swap 66 and -96
  List after swap: [61, -65, -96, 66, 54, 53, 99, -19]
  Compare 66 and 54
  Swap 66 and 54
  List after swap: [61, -65, -96, 54, 66, 53, 99, -19]
  Compare 66 and 53
  Swap 66 and 53
  List after swap: [61, -65, -96, 54, 53, 66, 99, -19]
  Compare 66 and 99
  No swap needed
  Compare 99 and -19
  Swap 99 and -19
  List after swap: [61, -65, -96, 54, 53, 66, -19, 99]

Pass 2:
  Compare 61 and -65
  Swap 61 and -65
  List after swap: [-65, 61, -96, 54, 53, 66, -19, 99]
  Compare 61 and -96
  Swap 61 and -96
  List after swap: [-65, -96, 61, 54, 53, 66, -19, 99]
  Compare 61 and 54
  Swap 61 and 54
  List after swap: [-65, -96, 54, 61, 53, 66, -19, 99]
  Compare 61 and 53
  Swap 61 and 53
  List after swap: [-65, -96, 54, 53, 61, 66, -19, 99]
  Compare 61 and 66
  No swap needed
  Compare 66 and -19
  Swap 66 and -19
  List after swap: [-65, -96, 54, 53, 61, -19, 66, 99]

Pass 3:
  Compare -65 and -96
  Swap -65 and -96
  List after swap: [-96, -65, 54, 53, 61, -19, 66, 99]
  Compare -65 and 54
  No swap needed
  Compare 54 and 53
  Swap 54 and 53
  List after swap: [-96, -65, 53, 54, 61, -19, 66, 99]
  Compare 54 and 61
  No swap needed
  Compare 61 and -19
  Swap 61 and -19
  List after swap: [-96, -65, 53, 54, -19, 61, 66, 99]

Pass 4:
  Compare -96 and -65
  No swap needed
  Compare -65 and 53
  No swap needed
  Compare 53 and 54
  No swap needed
  Compare 54 and -19
  Swap 54 and -19
  List after swap: [-96, -65, 53, -19, 54, 61, 66, 99]

Pass 5:
  Compare -96 and -65
  No swap needed
  Compare -65 and 53
  No swap needed
  Compare 53 and -19
  Swap 53 and -19
  List after swap: [-96, -65, -19, 53, 54, 61, 66, 99]

Pass 6:
  Compare -96 and -65
  No swap needed
  Compare -65 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -65, -19, 53, 54, 61, 66, 99]
</think>

<response>-96, -65, -19, 53, 54, 61, 66, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -13, -89, 23, 48, -23, -17, 11, -36.

output:
<think>
Initial list: [-13, -89, 23, 48, -23, -17, 11, -36]

Pass 1:
  Compare -13 and -89
  Swap -13 and -89
  List after swap: [-89, -13, 23, 48, -23, -17, 11, -36]
  Compare -13 and 23
  No swap needed
  Compare 23 and 48
  No swap needed
  Compare 48 and -23
  Swap 48 and -23
  List after swap: [-89, -13, 23, -23, 48, -17, 11, -36]
  Compare 48 and -17
  Swap 48 and -17
  List after swap: [-89, -13, 23, -23, -17, 48, 11, -36]
  Compare 48 and 11
  Swap 48 and 11
  List after swap: [-89, -13, 23, -23, -17, 11, 48, -36]
  Compare 48 and -36
  Swap 48 and -36
  List after swap: [-89, -13, 23, -23, -17, 11, -36, 48]

Pass 2:
  Compare -89 and -13
  No swap needed
  Compare -13 and 23
  No swap needed
  Compare 23 and -23
  Swap 23 and -23
  List after swap: [-89, -13, -23, 23, -17, 11, -36, 48]
  Compare 23 and -17
  Swap 23 and -17
  List after swap: [-89, -13, -23, -17, 23, 11, -36, 48]
  Compare 23 and 11
  Swap 23 and 11
  List after swap: [-89, -13, -23, -17, 11, 23, -36, 48]
  Compare 23 and -36
  Swap 23 and -36
  List after swap: [-89, -13, -23, -17, 11, -36, 23, 48]

Pass 3:
  Compare -89 and -13
  No swap needed
  Compare -13 and -23
  Swap -13 and -23
  List after swap: [-89, -23, -13, -17, 11, -36, 23, 48]
  Compare -13 and -17
  Swap -13 and -17
  List after swap: [-89, -23, -17, -13, 11, -36, 23, 48]
  Compare -13 and 11
  No swap needed
  Compare 11 and -36
  Swap 11 and -36
  List after swap: [-89, -23, -17, -13, -36, 11, 23, 48]

Pass 4:
  Compare -89 and -23
  No swap needed
  Compare -23 and -17
  No swap needed
  Compare -17 and -13
  No swap needed
  Compare -13 and -36
  Swap -13 and -36
  List after swap: [-89, -23, -17, -36, -13, 11, 23, 48]

Pass 5:
  Compare -89 and -23
  No swap needed
  Compare -23 and -17
  No swap needed
  Compare -17 and -36
  Swap -17 and -36
  List after swap: [-89, -23, -36, -17, -13, 11, 23, 48]

Pass 6:
  Compare -89 and -23
  No swap needed
  Compare -23 and -36
  Swap -23 and -36
  List after swap: [-89, -36, -23, -17, -13, 11, 23, 48]

Pass 7:
  Compare -89 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -36, -23, -17, -13, 11, 23, 48]
</think>

<response>-89, -36, -23, -17, -13, 11, 23, 48</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 59, -22, 3, -66, 73, 29, 1, -87, 54, 78.

output:
<think>
Initial list: [59, -22, 3, -66, 73, 29, 1, -87, 54, 78]

Pass 1:
  Compare 59 and -22
  Swap 59 and -22
  List after swap: [-22, 59, 3, -66, 73, 29, 1, -87, 54, 78]
  Compare 59 and 3
  Swap 59 and 3
  List after swap: [-22, 3, 59, -66, 73, 29, 1, -87, 54, 78]
  Compare 59 and -66
  Swap 59 and -66
  List after swap: [-22, 3, -66, 59, 73, 29, 1, -87, 54, 78]
  Compare 59 and 73
  No swap needed
  Compare 73 and 29
  Swap 73 and 29
  List after swap: [-22, 3, -66, 59, 29, 73, 1, -87, 54, 78]
  Compare 73 and 1
  Swap 73 and 1
  List after swap: [-22, 3, -66, 59, 29, 1, 73, -87, 54, 78]
  Compare 73 and -87
  Swap 73 and -87
  List after swap: [-22, 3, -66, 59, 29, 1, -87, 73, 54, 78]
  Compare 73 and 54
  Swap 73 and 54
  List after swap: [-22, 3, -66, 59, 29, 1, -87, 54, 73, 78]
  Compare 73 and 78
  No swap needed

Pass 2:
  Compare -22 and 3
  No swap needed
  Compare 3 and -66
  Swap 3 and -66
  List after swap: [-22, -66, 3, 59, 29, 1, -87, 54, 73, 78]
  Compare 3 and 59
  No swap needed
  Compare 59 and 29
  Swap 59 and 29
  List after swap: [-22, -66, 3, 29, 59, 1, -87, 54, 73, 78]
  Compare 59 and 1
  Swap 59 and 1
  List after swap: [-22, -66, 3, 29, 1, 59, -87, 54, 73, 78]
  Compare 59 and -87
  Swap 59 and -87
  List after swap: [-22, -66, 3, 29, 1, -87, 59, 54, 73, 78]
  Compare 59 and 54
  Swap 59 and 54
  List after swap: [-22, -66, 3, 29, 1, -87, 54, 59, 73, 78]
  Compare 59 and 73
  No swap needed

Pass 3:
  Compare -22 and -66
  Swap -22 and -66
  List after swap: [-66, -22, 3, 29, 1, -87, 54, 59, 73, 78]
  Compare -22 and 3
  No swap needed
  Compare 3 and 29
  No swap needed
  Compare 29 and 1
  Swap 29 and 1
  List after swap: [-66, -22, 3, 1, 29, -87, 54, 59, 73, 78]
  Compare 29 and -87
  Swap 29 and -87
  List after swap: [-66, -22, 3, 1, -87, 29, 54, 59, 73, 78]
  Compare 29 and 54
  No swap needed
  Compare 54 and 59
  No swap needed

Pass 4:
  Compare -66 and -22
  No swap needed
  Compare -22 and 3
  No swap needed
  Compare 3 and 1
  Swap 3 and 1
  List after swap: [-66, -22, 1, 3, -87, 29, 54, 59, 73, 78]
  Compare 3 and -87
  Swap 3 and -87
  List after swap: [-66, -22, 1, -87, 3, 29, 54, 59, 73, 78]
  Compare 3 and 29
  No swap needed
  Compare 29 and 54
  No swap needed

Pass 5:
  Compare -66 and -22
  No swap needed
  Compare -22 and 1
  No swap needed
  Compare 1 and -87
  Swap 1 and -87
  List after swap: [-66, -22, -87, 1, 3, 29, 54, 59, 73, 78]
  Compare 1 and 3
  No swap needed
  Compare 3 and 29
  No swap needed

Pass 6:
  Compare -66 and -22
  No swap needed
  Compare -22 and -87
  Swap -22 and -87
  List after swap: [-66, -87, -22, 1, 3, 29, 54, 59, 73, 78]
  Compare -22 and 1
  No swap needed
  Compare 1 and 3
  No swap needed

Pass 7:
  Compare -66 and -87
  Swap -66 and -87
  List after swap: [-87, -66, -22, 1, 3, 29, 54, 59, 73, 78]
  Compare -66 and -22
  No swap needed
  Compare -22 and 1
  No swap needed

Pass 8:
  Compare -87 and -66
  No swap needed
  Compare -66 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -66, -22, 1, 3, 29, 54, 59, 73, 78]
</think>

<response>-87, -66, -22, 1, 3, 29, 54, 59, 73, 78</response>


input: Use the bubble sort technique to reorder -48, -75, 53, -46, -10, 92, 0 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-48, -75, 53, -46, -10, 92, 0]

Pass 1:
  Compare -48 and -75
  Swap -48 and -75
  List after swap: [-75, -48, 53, -46, -10, 92, 0]
  Compare -48 and 53
  No swap needed
  Compare 53 and -46
  Swap 53 and -46
  List after swap: [-75, -48, -46, 53, -10, 92, 0]
  Compare 53 and -10
  Swap 53 and -10
  List after swap: [-75, -48, -46, -10, 53, 92, 0]
  Compare 53 and 92
  No swap needed
  Compare 92 and 0
  Swap 92 and 0
  List after swap: [-75, -48, -46, -10, 53, 0, 92]

Pass 2:
  Compare -75 and -48
  No swap needed
  Compare -48 and -46
  No swap needed
  Compare -46 and -10
  No swap needed
  Compare -10 and 53
  No swap needed
  Compare 53 and 0
  Swap 53 and 0
  List after swap: [-75, -48, -46, -10, 0, 53, 92]

Pass 3:
  Compare -75 and -48
  No swap needed
  Compare -48 and -46
  No swap needed
  Compare -46 and -10
  No swap needed
  Compare -10 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -48, -46, -10, 0, 53, 92]
</think>

<response>-75, -48, -46, -10, 0, 53, 92</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 40, 18.

output:
<think>
Initial list: [40, 18]

Pass 1:
  Compare 40 and 18
  Swap 40 and 18
  List after swap: [18, 40]

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

Final sorted list: [18, 40]
</think>

<response>18, 40</response>


input: Implement bubble sort on 83, 3, 35, 30, -36, -38 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [83, 3, 35, 30, -36, -38]

Pass 1:
  Compare 83 and 3
  Swap 83 and 3
  List after swap: [3, 83, 35, 30, -36, -38]
  Compare 83 and 35
  Swap 83 and 35
  List after swap: [3, 35, 83, 30, -36, -38]
  Compare 83 and 30
  Swap 83 and 30
  List after swap: [3, 35, 30, 83, -36, -38]
  Compare 83 and -36
  Swap 83 and -36
  List after swap: [3, 35, 30, -36, 83, -38]
  Compare 83 and -38
  Swap 83 and -38
  List after swap: [3, 35, 30, -36, -38, 83]

Pass 2:
  Compare 3 and 35
  No swap needed
  Compare 35 and 30
  Swap 35 and 30
  List after swap: [3, 30, 35, -36, -38, 83]
  Compare 35 and -36
  Swap 35 and -36
  List after swap: [3, 30, -36, 35, -38, 83]
  Compare 35 and -38
  Swap 35 and -38
  List after swap: [3, 30, -36, -38, 35, 83]

Pass 3:
  Compare 3 and 30
  No swap needed
  Compare 30 and -36
  Swap 30 and -36
  List after swap: [3, -36, 30, -38, 35, 83]
  Compare 30 and -38
  Swap 30 and -38
  List after swap: [3, -36, -38, 30, 35, 83]

Pass 4:
  Compare 3 and -36
  Swap 3 and -36
  List after swap: [-36, 3, -38, 30, 35, 83]
  Compare 3 and -38
  Swap 3 and -38
  List after swap: [-36, -38, 3, 30, 35, 83]

Pass 5:
  Compare -36 and -38
  Swap -36 and -38
  List after swap: [-38, -36, 3, 30, 35, 83]

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

Final sorted list: [-38, -36, 3, 30, 35, 83]
</think>

<response>-38, -36, 3, 30, 35, 83</response>


input: Carry out the bubble sort algorithm on -41, 99, -33, -26 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-41, 99, -33, -26]

Pass 1:
  Compare -41 and 99
  No swap needed
  Compare 99 and -33
  Swap 99 and -33
  List after swap: [-41, -33, 99, -26]
  Compare 99 and -26
  Swap 99 and -26
  List after swap: [-41, -33, -26, 99]

Pass 2:
  Compare -41 and -33
  No swap needed
  Compare -33 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -33, -26, 99]
</think>

<response>-41, -33, -26, 99</response>


input: Execute bubble sort to sort -90, -84, -55 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-90, -84, -55]

Pass 1:
  Compare -90 and -84
  No swap needed
  Compare -84 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -84, -55]
</think>

<response>-90, -84, -55</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -70, 50, -31, -11, 38, 56, -94, 14, -50.

output:
<think>
Initial list: [-70, 50, -31, -11, 38, 56, -94, 14, -50]

Pass 1:
  Compare -70 and 50
  No swap needed
  Compare 50 and -31
  Swap 50 and -31
  List after swap: [-70, -31, 50, -11, 38, 56, -94, 14, -50]
  Compare 50 and -11
  Swap 50 and -11
  List after swap: [-70, -31, -11, 50, 38, 56, -94, 14, -50]
  Compare 50 and 38
  Swap 50 and 38
  List after swap: [-70, -31, -11, 38, 50, 56, -94, 14, -50]
  Compare 50 and 56
  No swap needed
  Compare 56 and -94
  Swap 56 and -94
  List after swap: [-70, -31, -11, 38, 50, -94, 56, 14, -50]
  Compare 56 and 14
  Swap 56 and 14
  List after swap: [-70, -31, -11, 38, 50, -94, 14, 56, -50]
  Compare 56 and -50
  Swap 56 and -50
  List after swap: [-70, -31, -11, 38, 50, -94, 14, -50, 56]

Pass 2:
  Compare -70 and -31
  No swap needed
  Compare -31 and -11
  No swap needed
  Compare -11 and 38
  No swap needed
  Compare 38 and 50
  No swap needed
  Compare 50 and -94
  Swap 50 and -94
  List after swap: [-70, -31, -11, 38, -94, 50, 14, -50, 56]
  Compare 50 and 14
  Swap 50 and 14
  List after swap: [-70, -31, -11, 38, -94, 14, 50, -50, 56]
  Compare 50 and -50
  Swap 50 and -50
  List after swap: [-70, -31, -11, 38, -94, 14, -50, 50, 56]

Pass 3:
  Compare -70 and -31
  No swap needed
  Compare -31 and -11
  No swap needed
  Compare -11 and 38
  No swap needed
  Compare 38 and -94
  Swap 38 and -94
  List after swap: [-70, -31, -11, -94, 38, 14, -50, 50, 56]
  Compare 38 and 14
  Swap 38 and 14
  List after swap: [-70, -31, -11, -94, 14, 38, -50, 50, 56]
  Compare 38 and -50
  Swap 38 and -50
  List after swap: [-70, -31, -11, -94, 14, -50, 38, 50, 56]

Pass 4:
  Compare -70 and -31
  No swap needed
  Compare -31 and -11
  No swap needed
  Compare -11 and -94
  Swap -11 and -94
  List after swap: [-70, -31, -94, -11, 14, -50, 38, 50, 56]
  Compare -11 and 14
  No swap needed
  Compare 14 and -50
  Swap 14 and -50
  List after swap: [-70, -31, -94, -11, -50, 14, 38, 50, 56]

Pass 5:
  Compare -70 and -31
  No swap needed
  Compare -31 and -94
  Swap -31 and -94
  List after swap: [-70, -94, -31, -11, -50, 14, 38, 50, 56]
  Compare -31 and -11
  No swap needed
  Compare -11 and -50
  Swap -11 and -50
  List after swap: [-70, -94, -31, -50, -11, 14, 38, 50, 56]

Pass 6:
  Compare -70 and -94
  Swap -70 and -94
  List after swap: [-94, -70, -31, -50, -11, 14, 38, 50, 56]
  Compare -70 and -31
  No swap needed
  Compare -31 and -50
  Swap -31 and -50
  List after swap: [-94, -70, -50, -31, -11, 14, 38, 50, 56]

Pass 7:
  Compare -94 and -70
  No swap needed
  Compare -70 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -70, -50, -31, -11, 14, 38, 50, 56]
</think>

<response>-94, -70, -50, -31, -11, 14, 38, 50, 56</response>