input: Execute bubble sort to sort -81, -32, 50, -41, 44 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-81, -32, 50, -41, 44]

Pass 1:
  Compare -81 and -32
  No swap needed
  Compare -32 and 50
  No swap needed
  Compare 50 and -41
  Swap 50 and -41
  List after swap: [-81, -32, -41, 50, 44]
  Compare 50 and 44
  Swap 50 and 44
  List after swap: [-81, -32, -41, 44, 50]

Pass 2:
  Compare -81 and -32
  No swap needed
  Compare -32 and -41
  Swap -32 and -41
  List after swap: [-81, -41, -32, 44, 50]
  Compare -32 and 44
  No swap needed

Pass 3:
  Compare -81 and -41
  No swap needed
  Compare -41 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -41, -32, 44, 50]
</think>

<response>-81, -41, -32, 44, 50</response>


input: Demonstrate how bubble sort orders the integers 35, 65, -43, -33, -56, -36, -58, 56, 71, -93 in ascending sequence, showing all steps.

output:
<think>
Initial list: [35, 65, -43, -33, -56, -36, -58, 56, 71, -93]

Pass 1:
  Compare 35 and 65
  No swap needed
  Compare 65 and -43
  Swap 65 and -43
  List after swap: [35, -43, 65, -33, -56, -36, -58, 56, 71, -93]
  Compare 65 and -33
  Swap 65 and -33
  List after swap: [35, -43, -33, 65, -56, -36, -58, 56, 71, -93]
  Compare 65 and -56
  Swap 65 and -56
  List after swap: [35, -43, -33, -56, 65, -36, -58, 56, 71, -93]
  Compare 65 and -36
  Swap 65 and -36
  List after swap: [35, -43, -33, -56, -36, 65, -58, 56, 71, -93]
  Compare 65 and -58
  Swap 65 and -58
  List after swap: [35, -43, -33, -56, -36, -58, 65, 56, 71, -93]
  Compare 65 and 56
  Swap 65 and 56
  List after swap: [35, -43, -33, -56, -36, -58, 56, 65, 71, -93]
  Compare 65 and 71
  No swap needed
  Compare 71 and -93
  Swap 71 and -93
  List after swap: [35, -43, -33, -56, -36, -58, 56, 65, -93, 71]

Pass 2:
  Compare 35 and -43
  Swap 35 and -43
  List after swap: [-43, 35, -33, -56, -36, -58, 56, 65, -93, 71]
  Compare 35 and -33
  Swap 35 and -33
  List after swap: [-43, -33, 35, -56, -36, -58, 56, 65, -93, 71]
  Compare 35 and -56
  Swap 35 and -56
  List after swap: [-43, -33, -56, 35, -36, -58, 56, 65, -93, 71]
  Compare 35 and -36
  Swap 35 and -36
  List after swap: [-43, -33, -56, -36, 35, -58, 56, 65, -93, 71]
  Compare 35 and -58
  Swap 35 and -58
  List after swap: [-43, -33, -56, -36, -58, 35, 56, 65, -93, 71]
  Compare 35 and 56
  No swap needed
  Compare 56 and 65
  No swap needed
  Compare 65 and -93
  Swap 65 and -93
  List after swap: [-43, -33, -56, -36, -58, 35, 56, -93, 65, 71]

Pass 3:
  Compare -43 and -33
  No swap needed
  Compare -33 and -56
  Swap -33 and -56
  List after swap: [-43, -56, -33, -36, -58, 35, 56, -93, 65, 71]
  Compare -33 and -36
  Swap -33 and -36
  List after swap: [-43, -56, -36, -33, -58, 35, 56, -93, 65, 71]
  Compare -33 and -58
  Swap -33 and -58
  List after swap: [-43, -56, -36, -58, -33, 35, 56, -93, 65, 71]
  Compare -33 and 35
  No swap needed
  Compare 35 and 56
  No swap needed
  Compare 56 and -93
  Swap 56 and -93
  List after swap: [-43, -56, -36, -58, -33, 35, -93, 56, 65, 71]

Pass 4:
  Compare -43 and -56
  Swap -43 and -56
  List after swap: [-56, -43, -36, -58, -33, 35, -93, 56, 65, 71]
  Compare -43 and -36
  No swap needed
  Compare -36 and -58
  Swap -36 and -58
  List after swap: [-56, -43, -58, -36, -33, 35, -93, 56, 65, 71]
  Compare -36 and -33
  No swap needed
  Compare -33 and 35
  No swap needed
  Compare 35 and -93
  Swap 35 and -93
  List after swap: [-56, -43, -58, -36, -33, -93, 35, 56, 65, 71]

Pass 5:
  Compare -56 and -43
  No swap needed
  Compare -43 and -58
  Swap -43 and -58
  List after swap: [-56, -58, -43, -36, -33, -93, 35, 56, 65, 71]
  Compare -43 and -36
  No swap needed
  Compare -36 and -33
  No swap needed
  Compare -33 and -93
  Swap -33 and -93
  List after swap: [-56, -58, -43, -36, -93, -33, 35, 56, 65, 71]

Pass 6:
  Compare -56 and -58
  Swap -56 and -58
  List after swap: [-58, -56, -43, -36, -93, -33, 35, 56, 65, 71]
  Compare -56 and -43
  No swap needed
  Compare -43 and -36
  No swap needed
  Compare -36 and -93
  Swap -36 and -93
  List after swap: [-58, -56, -43, -93, -36, -33, 35, 56, 65, 71]

Pass 7:
  Compare -58 and -56
  No swap needed
  Compare -56 and -43
  No swap needed
  Compare -43 and -93
  Swap -43 and -93
  List after swap: [-58, -56, -93, -43, -36, -33, 35, 56, 65, 71]

Pass 8:
  Compare -58 and -56
  No swap needed
  Compare -56 and -93
  Swap -56 and -93
  List after swap: [-58, -93, -56, -43, -36, -33, 35, 56, 65, 71]

Pass 9:
  Compare -58 and -93
  Swap -58 and -93
  List after swap: [-93, -58, -56, -43, -36, -33, 35, 56, 65, 71]

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

Final sorted list: [-93, -58, -56, -43, -36, -33, 35, 56, 65, 71]
</think>

<response>-93, -58, -56, -43, -36, -33, 35, 56, 65, 71</response>


input: Use the bubble sort technique to reorder 98, -72, -13, -37, 88, 12, -67, 74, -26, 63 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [98, -72, -13, -37, 88, 12, -67, 74, -26, 63]

Pass 1:
  Compare 98 and -72
  Swap 98 and -72
  List after swap: [-72, 98, -13, -37, 88, 12, -67, 74, -26, 63]
  Compare 98 and -13
  Swap 98 and -13
  List after swap: [-72, -13, 98, -37, 88, 12, -67, 74, -26, 63]
  Compare 98 and -37
  Swap 98 and -37
  List after swap: [-72, -13, -37, 98, 88, 12, -67, 74, -26, 63]
  Compare 98 and 88
  Swap 98 and 88
  List after swap: [-72, -13, -37, 88, 98, 12, -67, 74, -26, 63]
  Compare 98 and 12
  Swap 98 and 12
  List after swap: [-72, -13, -37, 88, 12, 98, -67, 74, -26, 63]
  Compare 98 and -67
  Swap 98 and -67
  List after swap: [-72, -13, -37, 88, 12, -67, 98, 74, -26, 63]
  Compare 98 and 74
  Swap 98 and 74
  List after swap: [-72, -13, -37, 88, 12, -67, 74, 98, -26, 63]
  Compare 98 and -26
  Swap 98 and -26
  List after swap: [-72, -13, -37, 88, 12, -67, 74, -26, 98, 63]
  Compare 98 and 63
  Swap 98 and 63
  List after swap: [-72, -13, -37, 88, 12, -67, 74, -26, 63, 98]

Pass 2:
  Compare -72 and -13
  No swap needed
  Compare -13 and -37
  Swap -13 and -37
  List after swap: [-72, -37, -13, 88, 12, -67, 74, -26, 63, 98]
  Compare -13 and 88
  No swap needed
  Compare 88 and 12
  Swap 88 and 12
  List after swap: [-72, -37, -13, 12, 88, -67, 74, -26, 63, 98]
  Compare 88 and -67
  Swap 88 and -67
  List after swap: [-72, -37, -13, 12, -67, 88, 74, -26, 63, 98]
  Compare 88 and 74
  Swap 88 and 74
  List after swap: [-72, -37, -13, 12, -67, 74, 88, -26, 63, 98]
  Compare 88 and -26
  Swap 88 and -26
  List after swap: [-72, -37, -13, 12, -67, 74, -26, 88, 63, 98]
  Compare 88 and 63
  Swap 88 and 63
  List after swap: [-72, -37, -13, 12, -67, 74, -26, 63, 88, 98]

Pass 3:
  Compare -72 and -37
  No swap needed
  Compare -37 and -13
  No swap needed
  Compare -13 and 12
  No swap needed
  Compare 12 and -67
  Swap 12 and -67
  List after swap: [-72, -37, -13, -67, 12, 74, -26, 63, 88, 98]
  Compare 12 and 74
  No swap needed
  Compare 74 and -26
  Swap 74 and -26
  List after swap: [-72, -37, -13, -67, 12, -26, 74, 63, 88, 98]
  Compare 74 and 63
  Swap 74 and 63
  List after swap: [-72, -37, -13, -67, 12, -26, 63, 74, 88, 98]

Pass 4:
  Compare -72 and -37
  No swap needed
  Compare -37 and -13
  No swap needed
  Compare -13 and -67
  Swap -13 and -67
  List after swap: [-72, -37, -67, -13, 12, -26, 63, 74, 88, 98]
  Compare -13 and 12
  No swap needed
  Compare 12 and -26
  Swap 12 and -26
  List after swap: [-72, -37, -67, -13, -26, 12, 63, 74, 88, 98]
  Compare 12 and 63
  No swap needed

Pass 5:
  Compare -72 and -37
  No swap needed
  Compare -37 and -67
  Swap -37 and -67
  List after swap: [-72, -67, -37, -13, -26, 12, 63, 74, 88, 98]
  Compare -37 and -13
  No swap needed
  Compare -13 and -26
  Swap -13 and -26
  List after swap: [-72, -67, -37, -26, -13, 12, 63, 74, 88, 98]
  Compare -13 and 12
  No swap needed

Pass 6:
  Compare -72 and -67
  No swap needed
  Compare -67 and -37
  No swap needed
  Compare -37 and -26
  No swap needed
  Compare -26 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -67, -37, -26, -13, 12, 63, 74, 88, 98]
</think>

<response>-72, -67, -37, -26, -13, 12, 63, 74, 88, 98</response>


input: Execute bubble sort to sort 71, 88, -19, 84, -7, 29 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [71, 88, -19, 84, -7, 29]

Pass 1:
  Compare 71 and 88
  No swap needed
  Compare 88 and -19
  Swap 88 and -19
  List after swap: [71, -19, 88, 84, -7, 29]
  Compare 88 and 84
  Swap 88 and 84
  List after swap: [71, -19, 84, 88, -7, 29]
  Compare 88 and -7
  Swap 88 and -7
  List after swap: [71, -19, 84, -7, 88, 29]
  Compare 88 and 29
  Swap 88 and 29
  List after swap: [71, -19, 84, -7, 29, 88]

Pass 2:
  Compare 71 and -19
  Swap 71 and -19
  List after swap: [-19, 71, 84, -7, 29, 88]
  Compare 71 and 84
  No swap needed
  Compare 84 and -7
  Swap 84 and -7
  List after swap: [-19, 71, -7, 84, 29, 88]
  Compare 84 and 29
  Swap 84 and 29
  List after swap: [-19, 71, -7, 29, 84, 88]

Pass 3:
  Compare -19 and 71
  No swap needed
  Compare 71 and -7
  Swap 71 and -7
  List after swap: [-19, -7, 71, 29, 84, 88]
  Compare 71 and 29
  Swap 71 and 29
  List after swap: [-19, -7, 29, 71, 84, 88]

Pass 4:
  Compare -19 and -7
  No swap needed
  Compare -7 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-19, -7, 29, 71, 84, 88]
</think>

<response>-19, -7, 29, 71, 84, 88</response>


input: Demonstrate how bubble sort orders the integers -61, 46, -44, -65, -90, 74, -23 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-61, 46, -44, -65, -90, 74, -23]

Pass 1:
  Compare -61 and 46
  No swap needed
  Compare 46 and -44
  Swap 46 and -44
  List after swap: [-61, -44, 46, -65, -90, 74, -23]
  Compare 46 and -65
  Swap 46 and -65
  List after swap: [-61, -44, -65, 46, -90, 74, -23]
  Compare 46 and -90
  Swap 46 and -90
  List after swap: [-61, -44, -65, -90, 46, 74, -23]
  Compare 46 and 74
  No swap needed
  Compare 74 and -23
  Swap 74 and -23
  List after swap: [-61, -44, -65, -90, 46, -23, 74]

Pass 2:
  Compare -61 and -44
  No swap needed
  Compare -44 and -65
  Swap -44 and -65
  List after swap: [-61, -65, -44, -90, 46, -23, 74]
  Compare -44 and -90
  Swap -44 and -90
  List after swap: [-61, -65, -90, -44, 46, -23, 74]
  Compare -44 and 46
  No swap needed
  Compare 46 and -23
  Swap 46 and -23
  List after swap: [-61, -65, -90, -44, -23, 46, 74]

Pass 3:
  Compare -61 and -65
  Swap -61 and -65
  List after swap: [-65, -61, -90, -44, -23, 46, 74]
  Compare -61 and -90
  Swap -61 and -90
  List after swap: [-65, -90, -61, -44, -23, 46, 74]
  Compare -61 and -44
  No swap needed
  Compare -44 and -23
  No swap needed

Pass 4:
  Compare -65 and -90
  Swap -65 and -90
  List after swap: [-90, -65, -61, -44, -23, 46, 74]
  Compare -65 and -61
  No swap needed
  Compare -61 and -44
  No swap needed

Pass 5:
  Compare -90 and -65
  No swap needed
  Compare -65 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -65, -61, -44, -23, 46, 74]
</think>

<response>-90, -65, -61, -44, -23, 46, 74</response>


input: Using the bubble sort method, sort -34, 24, 76, -83, 30, -55 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-34, 24, 76, -83, 30, -55]

Pass 1:
  Compare -34 and 24
  No swap needed
  Compare 24 and 76
  No swap needed
  Compare 76 and -83
  Swap 76 and -83
  List after swap: [-34, 24, -83, 76, 30, -55]
  Compare 76 and 30
  Swap 76 and 30
  List after swap: [-34, 24, -83, 30, 76, -55]
  Compare 76 and -55
  Swap 76 and -55
  List after swap: [-34, 24, -83, 30, -55, 76]

Pass 2:
  Compare -34 and 24
  No swap needed
  Compare 24 and -83
  Swap 24 and -83
  List after swap: [-34, -83, 24, 30, -55, 76]
  Compare 24 and 30
  No swap needed
  Compare 30 and -55
  Swap 30 and -55
  List after swap: [-34, -83, 24, -55, 30, 76]

Pass 3:
  Compare -34 and -83
  Swap -34 and -83
  List after swap: [-83, -34, 24, -55, 30, 76]
  Compare -34 and 24
  No swap needed
  Compare 24 and -55
  Swap 24 and -55
  List after swap: [-83, -34, -55, 24, 30, 76]

Pass 4:
  Compare -83 and -34
  No swap needed
  Compare -34 and -55
  Swap -34 and -55
  List after swap: [-83, -55, -34, 24, 30, 76]

Pass 5:
  Compare -83 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -55, -34, 24, 30, 76]
</think>

<response>-83, -55, -34, 24, 30, 76</response>


input: Using the bubble sort method, sort -23, -35, -1, -87, -86 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-23, -35, -1, -87, -86]

Pass 1:
  Compare -23 and -35
  Swap -23 and -35
  List after swap: [-35, -23, -1, -87, -86]
  Compare -23 and -1
  No swap needed
  Compare -1 and -87
  Swap -1 and -87
  List after swap: [-35, -23, -87, -1, -86]
  Compare -1 and -86
  Swap -1 and -86
  List after swap: [-35, -23, -87, -86, -1]

Pass 2:
  Compare -35 and -23
  No swap needed
  Compare -23 and -87
  Swap -23 and -87
  List after swap: [-35, -87, -23, -86, -1]
  Compare -23 and -86
  Swap -23 and -86
  List after swap: [-35, -87, -86, -23, -1]

Pass 3:
  Compare -35 and -87
  Swap -35 and -87
  List after swap: [-87, -35, -86, -23, -1]
  Compare -35 and -86
  Swap -35 and -86
  List after swap: [-87, -86, -35, -23, -1]

Pass 4:
  Compare -87 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -86, -35, -23, -1]
</think>

<response>-87, -86, -35, -23, -1</response>


input: Demonstrate how bubble sort orders the integers 39, -56, 27, 84, 15 in ascending sequence, showing all steps.

output:
<think>
Initial list: [39, -56, 27, 84, 15]

Pass 1:
  Compare 39 and -56
  Swap 39 and -56
  List after swap: [-56, 39, 27, 84, 15]
  Compare 39 and 27
  Swap 39 and 27
  List after swap: [-56, 27, 39, 84, 15]
  Compare 39 and 84
  No swap needed
  Compare 84 and 15
  Swap 84 and 15
  List after swap: [-56, 27, 39, 15, 84]

Pass 2:
  Compare -56 and 27
  No swap needed
  Compare 27 and 39
  No swap needed
  Compare 39 and 15
  Swap 39 and 15
  List after swap: [-56, 27, 15, 39, 84]

Pass 3:
  Compare -56 and 27
  No swap needed
  Compare 27 and 15
  Swap 27 and 15
  List after swap: [-56, 15, 27, 39, 84]

Pass 4:
  Compare -56 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, 15, 27, 39, 84]
</think>

<response>-56, 15, 27, 39, 84</response>


input: Sort the list -22, -57, 98, -48, 79 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-22, -57, 98, -48, 79]

Pass 1:
  Compare -22 and -57
  Swap -22 and -57
  List after swap: [-57, -22, 98, -48, 79]
  Compare -22 and 98
  No swap needed
  Compare 98 and -48
  Swap 98 and -48
  List after swap: [-57, -22, -48, 98, 79]
  Compare 98 and 79
  Swap 98 and 79
  List after swap: [-57, -22, -48, 79, 98]

Pass 2:
  Compare -57 and -22
  No swap needed
  Compare -22 and -48
  Swap -22 and -48
  List after swap: [-57, -48, -22, 79, 98]
  Compare -22 and 79
  No swap needed

Pass 3:
  Compare -57 and -48
  No swap needed
  Compare -48 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -48, -22, 79, 98]
</think>

<response>-57, -48, -22, 79, 98</response>


input: Sort these integers -78, 66, 21, 52, -26 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-78, 66, 21, 52, -26]

Pass 1:
  Compare -78 and 66
  No swap needed
  Compare 66 and 21
  Swap 66 and 21
  List after swap: [-78, 21, 66, 52, -26]
  Compare 66 and 52
  Swap 66 and 52
  List after swap: [-78, 21, 52, 66, -26]
  Compare 66 and -26
  Swap 66 and -26
  List after swap: [-78, 21, 52, -26, 66]

Pass 2:
  Compare -78 and 21
  No swap needed
  Compare 21 and 52
  No swap needed
  Compare 52 and -26
  Swap 52 and -26
  List after swap: [-78, 21, -26, 52, 66]

Pass 3:
  Compare -78 and 21
  No swap needed
  Compare 21 and -26
  Swap 21 and -26
  List after swap: [-78, -26, 21, 52, 66]

Pass 4:
  Compare -78 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -26, 21, 52, 66]
</think>

<response>-78, -26, 21, 52, 66</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 71, 61, -10, 1, -8, -79, 77, -93, -91.

output:
<think>
Initial list: [71, 61, -10, 1, -8, -79, 77, -93, -91]

Pass 1:
  Compare 71 and 61
  Swap 71 and 61
  List after swap: [61, 71, -10, 1, -8, -79, 77, -93, -91]
  Compare 71 and -10
  Swap 71 and -10
  List after swap: [61, -10, 71, 1, -8, -79, 77, -93, -91]
  Compare 71 and 1
  Swap 71 and 1
  List after swap: [61, -10, 1, 71, -8, -79, 77, -93, -91]
  Compare 71 and -8
  Swap 71 and -8
  List after swap: [61, -10, 1, -8, 71, -79, 77, -93, -91]
  Compare 71 and -79
  Swap 71 and -79
  List after swap: [61, -10, 1, -8, -79, 71, 77, -93, -91]
  Compare 71 and 77
  No swap needed
  Compare 77 and -93
  Swap 77 and -93
  List after swap: [61, -10, 1, -8, -79, 71, -93, 77, -91]
  Compare 77 and -91
  Swap 77 and -91
  List after swap: [61, -10, 1, -8, -79, 71, -93, -91, 77]

Pass 2:
  Compare 61 and -10
  Swap 61 and -10
  List after swap: [-10, 61, 1, -8, -79, 71, -93, -91, 77]
  Compare 61 and 1
  Swap 61 and 1
  List after swap: [-10, 1, 61, -8, -79, 71, -93, -91, 77]
  Compare 61 and -8
  Swap 61 and -8
  List after swap: [-10, 1, -8, 61, -79, 71, -93, -91, 77]
  Compare 61 and -79
  Swap 61 and -79
  List after swap: [-10, 1, -8, -79, 61, 71, -93, -91, 77]
  Compare 61 and 71
  No swap needed
  Compare 71 and -93
  Swap 71 and -93
  List after swap: [-10, 1, -8, -79, 61, -93, 71, -91, 77]
  Compare 71 and -91
  Swap 71 and -91
  List after swap: [-10, 1, -8, -79, 61, -93, -91, 71, 77]

Pass 3:
  Compare -10 and 1
  No swap needed
  Compare 1 and -8
  Swap 1 and -8
  List after swap: [-10, -8, 1, -79, 61, -93, -91, 71, 77]
  Compare 1 and -79
  Swap 1 and -79
  List after swap: [-10, -8, -79, 1, 61, -93, -91, 71, 77]
  Compare 1 and 61
  No swap needed
  Compare 61 and -93
  Swap 61 and -93
  List after swap: [-10, -8, -79, 1, -93, 61, -91, 71, 77]
  Compare 61 and -91
  Swap 61 and -91
  List after swap: [-10, -8, -79, 1, -93, -91, 61, 71, 77]

Pass 4:
  Compare -10 and -8
  No swap needed
  Compare -8 and -79
  Swap -8 and -79
  List after swap: [-10, -79, -8, 1, -93, -91, 61, 71, 77]
  Compare -8 and 1
  No swap needed
  Compare 1 and -93
  Swap 1 and -93
  List after swap: [-10, -79, -8, -93, 1, -91, 61, 71, 77]
  Compare 1 and -91
  Swap 1 and -91
  List after swap: [-10, -79, -8, -93, -91, 1, 61, 71, 77]

Pass 5:
  Compare -10 and -79
  Swap -10 and -79
  List after swap: [-79, -10, -8, -93, -91, 1, 61, 71, 77]
  Compare -10 and -8
  No swap needed
  Compare -8 and -93
  Swap -8 and -93
  List after swap: [-79, -10, -93, -8, -91, 1, 61, 71, 77]
  Compare -8 and -91
  Swap -8 and -91
  List after swap: [-79, -10, -93, -91, -8, 1, 61, 71, 77]

Pass 6:
  Compare -79 and -10
  No swap needed
  Compare -10 and -93
  Swap -10 and -93
  List after swap: [-79, -93, -10, -91, -8, 1, 61, 71, 77]
  Compare -10 and -91
  Swap -10 and -91
  List after swap: [-79, -93, -91, -10, -8, 1, 61, 71, 77]

Pass 7:
  Compare -79 and -93
  Swap -79 and -93
  List after swap: [-93, -79, -91, -10, -8, 1, 61, 71, 77]
  Compare -79 and -91
  Swap -79 and -91
  List after swap: [-93, -91, -79, -10, -8, 1, 61, 71, 77]

Pass 8:
  Compare -93 and -91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -91, -79, -10, -8, 1, 61, 71, 77]
</think>

<response>-93, -91, -79, -10, -8, 1, 61, 71, 77</response>


input: Execute bubble sort to sort -46, 13, 95, -5, 56, 23, -85 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-46, 13, 95, -5, 56, 23, -85]

Pass 1:
  Compare -46 and 13
  No swap needed
  Compare 13 and 95
  No swap needed
  Compare 95 and -5
  Swap 95 and -5
  List after swap: [-46, 13, -5, 95, 56, 23, -85]
  Compare 95 and 56
  Swap 95 and 56
  List after swap: [-46, 13, -5, 56, 95, 23, -85]
  Compare 95 and 23
  Swap 95 and 23
  List after swap: [-46, 13, -5, 56, 23, 95, -85]
  Compare 95 and -85
  Swap 95 and -85
  List after swap: [-46, 13, -5, 56, 23, -85, 95]

Pass 2:
  Compare -46 and 13
  No swap needed
  Compare 13 and -5
  Swap 13 and -5
  List after swap: [-46, -5, 13, 56, 23, -85, 95]
  Compare 13 and 56
  No swap needed
  Compare 56 and 23
  Swap 56 and 23
  List after swap: [-46, -5, 13, 23, 56, -85, 95]
  Compare 56 and -85
  Swap 56 and -85
  List after swap: [-46, -5, 13, 23, -85, 56, 95]

Pass 3:
  Compare -46 and -5
  No swap needed
  Compare -5 and 13
  No swap needed
  Compare 13 and 23
  No swap needed
  Compare 23 and -85
  Swap 23 and -85
  List after swap: [-46, -5, 13, -85, 23, 56, 95]

Pass 4:
  Compare -46 and -5
  No swap needed
  Compare -5 and 13
  No swap needed
  Compare 13 and -85
  Swap 13 and -85
  List after swap: [-46, -5, -85, 13, 23, 56, 95]

Pass 5:
  Compare -46 and -5
  No swap needed
  Compare -5 and -85
  Swap -5 and -85
  List after swap: [-46, -85, -5, 13, 23, 56, 95]

Pass 6:
  Compare -46 and -85
  Swap -46 and -85
  List after swap: [-85, -46, -5, 13, 23, 56, 95]

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

Final sorted list: [-85, -46, -5, 13, 23, 56, 95]
</think>

<response>-85, -46, -5, 13, 23, 56, 95</response>


input: Implement bubble sort on 65, 58, 23, 76, -75, -54, -62, 44, -31 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [65, 58, 23, 76, -75, -54, -62, 44, -31]

Pass 1:
  Compare 65 and 58
  Swap 65 and 58
  List after swap: [58, 65, 23, 76, -75, -54, -62, 44, -31]
  Compare 65 and 23
  Swap 65 and 23
  List after swap: [58, 23, 65, 76, -75, -54, -62, 44, -31]
  Compare 65 and 76
  No swap needed
  Compare 76 and -75
  Swap 76 and -75
  List after swap: [58, 23, 65, -75, 76, -54, -62, 44, -31]
  Compare 76 and -54
  Swap 76 and -54
  List after swap: [58, 23, 65, -75, -54, 76, -62, 44, -31]
  Compare 76 and -62
  Swap 76 and -62
  List after swap: [58, 23, 65, -75, -54, -62, 76, 44, -31]
  Compare 76 and 44
  Swap 76 and 44
  List after swap: [58, 23, 65, -75, -54, -62, 44, 76, -31]
  Compare 76 and -31
  Swap 76 and -31
  List after swap: [58, 23, 65, -75, -54, -62, 44, -31, 76]

Pass 2:
  Compare 58 and 23
  Swap 58 and 23
  List after swap: [23, 58, 65, -75, -54, -62, 44, -31, 76]
  Compare 58 and 65
  No swap needed
  Compare 65 and -75
  Swap 65 and -75
  List after swap: [23, 58, -75, 65, -54, -62, 44, -31, 76]
  Compare 65 and -54
  Swap 65 and -54
  List after swap: [23, 58, -75, -54, 65, -62, 44, -31, 76]
  Compare 65 and -62
  Swap 65 and -62
  List after swap: [23, 58, -75, -54, -62, 65, 44, -31, 76]
  Compare 65 and 44
  Swap 65 and 44
  List after swap: [23, 58, -75, -54, -62, 44, 65, -31, 76]
  Compare 65 and -31
  Swap 65 and -31
  List after swap: [23, 58, -75, -54, -62, 44, -31, 65, 76]

Pass 3:
  Compare 23 and 58
  No swap needed
  Compare 58 and -75
  Swap 58 and -75
  List after swap: [23, -75, 58, -54, -62, 44, -31, 65, 76]
  Compare 58 and -54
  Swap 58 and -54
  List after swap: [23, -75, -54, 58, -62, 44, -31, 65, 76]
  Compare 58 and -62
  Swap 58 and -62
  List after swap: [23, -75, -54, -62, 58, 44, -31, 65, 76]
  Compare 58 and 44
  Swap 58 and 44
  List after swap: [23, -75, -54, -62, 44, 58, -31, 65, 76]
  Compare 58 and -31
  Swap 58 and -31
  List after swap: [23, -75, -54, -62, 44, -31, 58, 65, 76]

Pass 4:
  Compare 23 and -75
  Swap 23 and -75
  List after swap: [-75, 23, -54, -62, 44, -31, 58, 65, 76]
  Compare 23 and -54
  Swap 23 and -54
  List after swap: [-75, -54, 23, -62, 44, -31, 58, 65, 76]
  Compare 23 and -62
  Swap 23 and -62
  List after swap: [-75, -54, -62, 23, 44, -31, 58, 65, 76]
  Compare 23 and 44
  No swap needed
  Compare 44 and -31
  Swap 44 and -31
  List after swap: [-75, -54, -62, 23, -31, 44, 58, 65, 76]

Pass 5:
  Compare -75 and -54
  No swap needed
  Compare -54 and -62
  Swap -54 and -62
  List after swap: [-75, -62, -54, 23, -31, 44, 58, 65, 76]
  Compare -54 and 23
  No swap needed
  Compare 23 and -31
  Swap 23 and -31
  List after swap: [-75, -62, -54, -31, 23, 44, 58, 65, 76]

Pass 6:
  Compare -75 and -62
  No swap needed
  Compare -62 and -54
  No swap needed
  Compare -54 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -62, -54, -31, 23, 44, 58, 65, 76]
</think>

<response>-75, -62, -54, -31, 23, 44, 58, 65, 76</response>


input: Use the bubble sort technique to reorder 22, -65, -54 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [22, -65, -54]

Pass 1:
  Compare 22 and -65
  Swap 22 and -65
  List after swap: [-65, 22, -54]
  Compare 22 and -54
  Swap 22 and -54
  List after swap: [-65, -54, 22]

Pass 2:
  Compare -65 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -54, 22]
</think>

<response>-65, -54, 22</response>


input: Sort the list -30, 3, 5, 58, 31, 72, -61, -66, 28 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-30, 3, 5, 58, 31, 72, -61, -66, 28]

Pass 1:
  Compare -30 and 3
  No swap needed
  Compare 3 and 5
  No swap needed
  Compare 5 and 58
  No swap needed
  Compare 58 and 31
  Swap 58 and 31
  List after swap: [-30, 3, 5, 31, 58, 72, -61, -66, 28]
  Compare 58 and 72
  No swap needed
  Compare 72 and -61
  Swap 72 and -61
  List after swap: [-30, 3, 5, 31, 58, -61, 72, -66, 28]
  Compare 72 and -66
  Swap 72 and -66
  List after swap: [-30, 3, 5, 31, 58, -61, -66, 72, 28]
  Compare 72 and 28
  Swap 72 and 28
  List after swap: [-30, 3, 5, 31, 58, -61, -66, 28, 72]

Pass 2:
  Compare -30 and 3
  No swap needed
  Compare 3 and 5
  No swap needed
  Compare 5 and 31
  No swap needed
  Compare 31 and 58
  No swap needed
  Compare 58 and -61
  Swap 58 and -61
  List after swap: [-30, 3, 5, 31, -61, 58, -66, 28, 72]
  Compare 58 and -66
  Swap 58 and -66
  List after swap: [-30, 3, 5, 31, -61, -66, 58, 28, 72]
  Compare 58 and 28
  Swap 58 and 28
  List after swap: [-30, 3, 5, 31, -61, -66, 28, 58, 72]

Pass 3:
  Compare -30 and 3
  No swap needed
  Compare 3 and 5
  No swap needed
  Compare 5 and 31
  No swap needed
  Compare 31 and -61
  Swap 31 and -61
  List after swap: [-30, 3, 5, -61, 31, -66, 28, 58, 72]
  Compare 31 and -66
  Swap 31 and -66
  List after swap: [-30, 3, 5, -61, -66, 31, 28, 58, 72]
  Compare 31 and 28
  Swap 31 and 28
  List after swap: [-30, 3, 5, -61, -66, 28, 31, 58, 72]

Pass 4:
  Compare -30 and 3
  No swap needed
  Compare 3 and 5
  No swap needed
  Compare 5 and -61
  Swap 5 and -61
  List after swap: [-30, 3, -61, 5, -66, 28, 31, 58, 72]
  Compare 5 and -66
  Swap 5 and -66
  List after swap: [-30, 3, -61, -66, 5, 28, 31, 58, 72]
  Compare 5 and 28
  No swap needed

Pass 5:
  Compare -30 and 3
  No swap needed
  Compare 3 and -61
  Swap 3 and -61
  List after swap: [-30, -61, 3, -66, 5, 28, 31, 58, 72]
  Compare 3 and -66
  Swap 3 and -66
  List after swap: [-30, -61, -66, 3, 5, 28, 31, 58, 72]
  Compare 3 and 5
  No swap needed

Pass 6:
  Compare -30 and -61
  Swap -30 and -61
  List after swap: [-61, -30, -66, 3, 5, 28, 31, 58, 72]
  Compare -30 and -66
  Swap -30 and -66
  List after swap: [-61, -66, -30, 3, 5, 28, 31, 58, 72]
  Compare -30 and 3
  No swap needed

Pass 7:
  Compare -61 and -66
  Swap -61 and -66
  List after swap: [-66, -61, -30, 3, 5, 28, 31, 58, 72]
  Compare -61 and -30
  No swap needed

Pass 8:
  Compare -66 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -61, -30, 3, 5, 28, 31, 58, 72]
</think>

<response>-66, -61, -30, 3, 5, 28, 31, 58, 72</response>


input: Sort the list 80, 46, -55, 83, -72, 42, -10, 99 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [80, 46, -55, 83, -72, 42, -10, 99]

Pass 1:
  Compare 80 and 46
  Swap 80 and 46
  List after swap: [46, 80, -55, 83, -72, 42, -10, 99]
  Compare 80 and -55
  Swap 80 and -55
  List after swap: [46, -55, 80, 83, -72, 42, -10, 99]
  Compare 80 and 83
  No swap needed
  Compare 83 and -72
  Swap 83 and -72
  List after swap: [46, -55, 80, -72, 83, 42, -10, 99]
  Compare 83 and 42
  Swap 83 and 42
  List after swap: [46, -55, 80, -72, 42, 83, -10, 99]
  Compare 83 and -10
  Swap 83 and -10
  List after swap: [46, -55, 80, -72, 42, -10, 83, 99]
  Compare 83 and 99
  No swap needed

Pass 2:
  Compare 46 and -55
  Swap 46 and -55
  List after swap: [-55, 46, 80, -72, 42, -10, 83, 99]
  Compare 46 and 80
  No swap needed
  Compare 80 and -72
  Swap 80 and -72
  List after swap: [-55, 46, -72, 80, 42, -10, 83, 99]
  Compare 80 and 42
  Swap 80 and 42
  List after swap: [-55, 46, -72, 42, 80, -10, 83, 99]
  Compare 80 and -10
  Swap 80 and -10
  List after swap: [-55, 46, -72, 42, -10, 80, 83, 99]
  Compare 80 and 83
  No swap needed

Pass 3:
  Compare -55 and 46
  No swap needed
  Compare 46 and -72
  Swap 46 and -72
  List after swap: [-55, -72, 46, 42, -10, 80, 83, 99]
  Compare 46 and 42
  Swap 46 and 42
  List after swap: [-55, -72, 42, 46, -10, 80, 83, 99]
  Compare 46 and -10
  Swap 46 and -10
  List after swap: [-55, -72, 42, -10, 46, 80, 83, 99]
  Compare 46 and 80
  No swap needed

Pass 4:
  Compare -55 and -72
  Swap -55 and -72
  List after swap: [-72, -55, 42, -10, 46, 80, 83, 99]
  Compare -55 and 42
  No swap needed
  Compare 42 and -10
  Swap 42 and -10
  List after swap: [-72, -55, -10, 42, 46, 80, 83, 99]
  Compare 42 and 46
  No swap needed

Pass 5:
  Compare -72 and -55
  No swap needed
  Compare -55 and -10
  No swap needed
  Compare -10 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -55, -10, 42, 46, 80, 83, 99]
</think>

<response>-72, -55, -10, 42, 46, 80, 83, 99</response>


input: Arrange the numbers 15, -5, -65, -1 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [15, -5, -65, -1]

Pass 1:
  Compare 15 and -5
  Swap 15 and -5
  List after swap: [-5, 15, -65, -1]
  Compare 15 and -65
  Swap 15 and -65
  List after swap: [-5, -65, 15, -1]
  Compare 15 and -1
  Swap 15 and -1
  List after swap: [-5, -65, -1, 15]

Pass 2:
  Compare -5 and -65
  Swap -5 and -65
  List after swap: [-65, -5, -1, 15]
  Compare -5 and -1
  No swap needed

Pass 3:
  Compare -65 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -5, -1, 15]
</think>

<response>-65, -5, -1, 15</response>


input: Carry out the bubble sort algorithm on -28, 24, -81, 23, 65 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-28, 24, -81, 23, 65]

Pass 1:
  Compare -28 and 24
  No swap needed
  Compare 24 and -81
  Swap 24 and -81
  List after swap: [-28, -81, 24, 23, 65]
  Compare 24 and 23
  Swap 24 and 23
  List after swap: [-28, -81, 23, 24, 65]
  Compare 24 and 65
  No swap needed

Pass 2:
  Compare -28 and -81
  Swap -28 and -81
  List after swap: [-81, -28, 23, 24, 65]
  Compare -28 and 23
  No swap needed
  Compare 23 and 24
  No swap needed

Pass 3:
  Compare -81 and -28
  No swap needed
  Compare -28 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -28, 23, 24, 65]
</think>

<response>-81, -28, 23, 24, 65</response>


input: Carry out the bubble sort algorithm on 51, -60, 25, -53, -59, 6, 39, 30 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [51, -60, 25, -53, -59, 6, 39, 30]

Pass 1:
  Compare 51 and -60
  Swap 51 and -60
  List after swap: [-60, 51, 25, -53, -59, 6, 39, 30]
  Compare 51 and 25
  Swap 51 and 25
  List after swap: [-60, 25, 51, -53, -59, 6, 39, 30]
  Compare 51 and -53
  Swap 51 and -53
  List after swap: [-60, 25, -53, 51, -59, 6, 39, 30]
  Compare 51 and -59
  Swap 51 and -59
  List after swap: [-60, 25, -53, -59, 51, 6, 39, 30]
  Compare 51 and 6
  Swap 51 and 6
  List after swap: [-60, 25, -53, -59, 6, 51, 39, 30]
  Compare 51 and 39
  Swap 51 and 39
  List after swap: [-60, 25, -53, -59, 6, 39, 51, 30]
  Compare 51 and 30
  Swap 51 and 30
  List after swap: [-60, 25, -53, -59, 6, 39, 30, 51]

Pass 2:
  Compare -60 and 25
  No swap needed
  Compare 25 and -53
  Swap 25 and -53
  List after swap: [-60, -53, 25, -59, 6, 39, 30, 51]
  Compare 25 and -59
  Swap 25 and -59
  List after swap: [-60, -53, -59, 25, 6, 39, 30, 51]
  Compare 25 and 6
  Swap 25 and 6
  List after swap: [-60, -53, -59, 6, 25, 39, 30, 51]
  Compare 25 and 39
  No swap needed
  Compare 39 and 30
  Swap 39 and 30
  List after swap: [-60, -53, -59, 6, 25, 30, 39, 51]

Pass 3:
  Compare -60 and -53
  No swap needed
  Compare -53 and -59
  Swap -53 and -59
  List after swap: [-60, -59, -53, 6, 25, 30, 39, 51]
  Compare -53 and 6
  No swap needed
  Compare 6 and 25
  No swap needed
  Compare 25 and 30
  No swap needed

Pass 4:
  Compare -60 and -59
  No swap needed
  Compare -59 and -53
  No swap needed
  Compare -53 and 6
  No swap needed
  Compare 6 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -59, -53, 6, 25, 30, 39, 51]
</think>

<response>-60, -59, -53, 6, 25, 30, 39, 51</response>


input: Use the bubble sort technique to reorder -98, 79, 4, 74, -31, 3, 25, 8 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-98, 79, 4, 74, -31, 3, 25, 8]

Pass 1:
  Compare -98 and 79
  No swap needed
  Compare 79 and 4
  Swap 79 and 4
  List after swap: [-98, 4, 79, 74, -31, 3, 25, 8]
  Compare 79 and 74
  Swap 79 and 74
  List after swap: [-98, 4, 74, 79, -31, 3, 25, 8]
  Compare 79 and -31
  Swap 79 and -31
  List after swap: [-98, 4, 74, -31, 79, 3, 25, 8]
  Compare 79 and 3
  Swap 79 and 3
  List after swap: [-98, 4, 74, -31, 3, 79, 25, 8]
  Compare 79 and 25
  Swap 79 and 25
  List after swap: [-98, 4, 74, -31, 3, 25, 79, 8]
  Compare 79 and 8
  Swap 79 and 8
  List after swap: [-98, 4, 74, -31, 3, 25, 8, 79]

Pass 2:
  Compare -98 and 4
  No swap needed
  Compare 4 and 74
  No swap needed
  Compare 74 and -31
  Swap 74 and -31
  List after swap: [-98, 4, -31, 74, 3, 25, 8, 79]
  Compare 74 and 3
  Swap 74 and 3
  List after swap: [-98, 4, -31, 3, 74, 25, 8, 79]
  Compare 74 and 25
  Swap 74 and 25
  List after swap: [-98, 4, -31, 3, 25, 74, 8, 79]
  Compare 74 and 8
  Swap 74 and 8
  List after swap: [-98, 4, -31, 3, 25, 8, 74, 79]

Pass 3:
  Compare -98 and 4
  No swap needed
  Compare 4 and -31
  Swap 4 and -31
  List after swap: [-98, -31, 4, 3, 25, 8, 74, 79]
  Compare 4 and 3
  Swap 4 and 3
  List after swap: [-98, -31, 3, 4, 25, 8, 74, 79]
  Compare 4 and 25
  No swap needed
  Compare 25 and 8
  Swap 25 and 8
  List after swap: [-98, -31, 3, 4, 8, 25, 74, 79]

Pass 4:
  Compare -98 and -31
  No swap needed
  Compare -31 and 3
  No swap needed
  Compare 3 and 4
  No swap needed
  Compare 4 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -31, 3, 4, 8, 25, 74, 79]
</think>

<response>-98, -31, 3, 4, 8, 25, 74, 79</response>


input: Sort these integers 15, -94, 38 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [15, -94, 38]

Pass 1:
  Compare 15 and -94
  Swap 15 and -94
  List after swap: [-94, 15, 38]
  Compare 15 and 38
  No swap needed

Pass 2:
  Compare -94 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, 15, 38]
</think>

<response>-94, 15, 38</response>


input: Perform a bubble sort on the integers -78, -37, 28, 48, -1, -71, 85, -12, 43, 53, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-78, -37, 28, 48, -1, -71, 85, -12, 43, 53]

Pass 1:
  Compare -78 and -37
  No swap needed
  Compare -37 and 28
  No swap needed
  Compare 28 and 48
  No swap needed
  Compare 48 and -1
  Swap 48 and -1
  List after swap: [-78, -37, 28, -1, 48, -71, 85, -12, 43, 53]
  Compare 48 and -71
  Swap 48 and -71
  List after swap: [-78, -37, 28, -1, -71, 48, 85, -12, 43, 53]
  Compare 48 and 85
  No swap needed
  Compare 85 and -12
  Swap 85 and -12
  List after swap: [-78, -37, 28, -1, -71, 48, -12, 85, 43, 53]
  Compare 85 and 43
  Swap 85 and 43
  List after swap: [-78, -37, 28, -1, -71, 48, -12, 43, 85, 53]
  Compare 85 and 53
  Swap 85 and 53
  List after swap: [-78, -37, 28, -1, -71, 48, -12, 43, 53, 85]

Pass 2:
  Compare -78 and -37
  No swap needed
  Compare -37 and 28
  No swap needed
  Compare 28 and -1
  Swap 28 and -1
  List after swap: [-78, -37, -1, 28, -71, 48, -12, 43, 53, 85]
  Compare 28 and -71
  Swap 28 and -71
  List after swap: [-78, -37, -1, -71, 28, 48, -12, 43, 53, 85]
  Compare 28 and 48
  No swap needed
  Compare 48 and -12
  Swap 48 and -12
  List after swap: [-78, -37, -1, -71, 28, -12, 48, 43, 53, 85]
  Compare 48 and 43
  Swap 48 and 43
  List after swap: [-78, -37, -1, -71, 28, -12, 43, 48, 53, 85]
  Compare 48 and 53
  No swap needed

Pass 3:
  Compare -78 and -37
  No swap needed
  Compare -37 and -1
  No swap needed
  Compare -1 and -71
  Swap -1 and -71
  List after swap: [-78, -37, -71, -1, 28, -12, 43, 48, 53, 85]
  Compare -1 and 28
  No swap needed
  Compare 28 and -12
  Swap 28 and -12
  List after swap: [-78, -37, -71, -1, -12, 28, 43, 48, 53, 85]
  Compare 28 and 43
  No swap needed
  Compare 43 and 48
  No swap needed

Pass 4:
  Compare -78 and -37
  No swap needed
  Compare -37 and -71
  Swap -37 and -71
  List after swap: [-78, -71, -37, -1, -12, 28, 43, 48, 53, 85]
  Compare -37 and -1
  No swap needed
  Compare -1 and -12
  Swap -1 and -12
  List after swap: [-78, -71, -37, -12, -1, 28, 43, 48, 53, 85]
  Compare -1 and 28
  No swap needed
  Compare 28 and 43
  No swap needed

Pass 5:
  Compare -78 and -71
  No swap needed
  Compare -71 and -37
  No swap needed
  Compare -37 and -12
  No swap needed
  Compare -12 and -1
  No swap needed
  Compare -1 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -71, -37, -12, -1, 28, 43, 48, 53, 85]
</think>

<response>-78, -71, -37, -12, -1, 28, 43, 48, 53, 85</response>


input: Carry out the bubble sort algorithm on -96, -71, 60, 46 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-96, -71, 60, 46]

Pass 1:
  Compare -96 and -71
  No swap needed
  Compare -71 and 60
  No swap needed
  Compare 60 and 46
  Swap 60 and 46
  List after swap: [-96, -71, 46, 60]

Pass 2:
  Compare -96 and -71
  No swap needed
  Compare -71 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -71, 46, 60]
</think>

<response>-96, -71, 46, 60</response>


input: Using the bubble sort method, sort 73, 6, 40, 84, 83, 4 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [73, 6, 40, 84, 83, 4]

Pass 1:
  Compare 73 and 6
  Swap 73 and 6
  List after swap: [6, 73, 40, 84, 83, 4]
  Compare 73 and 40
  Swap 73 and 40
  List after swap: [6, 40, 73, 84, 83, 4]
  Compare 73 and 84
  No swap needed
  Compare 84 and 83
  Swap 84 and 83
  List after swap: [6, 40, 73, 83, 84, 4]
  Compare 84 and 4
  Swap 84 and 4
  List after swap: [6, 40, 73, 83, 4, 84]

Pass 2:
  Compare 6 and 40
  No swap needed
  Compare 40 and 73
  No swap needed
  Compare 73 and 83
  No swap needed
  Compare 83 and 4
  Swap 83 and 4
  List after swap: [6, 40, 73, 4, 83, 84]

Pass 3:
  Compare 6 and 40
  No swap needed
  Compare 40 and 73
  No swap needed
  Compare 73 and 4
  Swap 73 and 4
  List after swap: [6, 40, 4, 73, 83, 84]

Pass 4:
  Compare 6 and 40
  No swap needed
  Compare 40 and 4
  Swap 40 and 4
  List after swap: [6, 4, 40, 73, 83, 84]

Pass 5:
  Compare 6 and 4
  Swap 6 and 4
  List after swap: [4, 6, 40, 73, 83, 84]

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

Final sorted list: [4, 6, 40, 73, 83, 84]
</think>

<response>4, 6, 40, 73, 83, 84</response>


input: Carry out the bubble sort algorithm on 31, -58, 82, -29, -81, -36, 58, 67 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [31, -58, 82, -29, -81, -36, 58, 67]

Pass 1:
  Compare 31 and -58
  Swap 31 and -58
  List after swap: [-58, 31, 82, -29, -81, -36, 58, 67]
  Compare 31 and 82
  No swap needed
  Compare 82 and -29
  Swap 82 and -29
  List after swap: [-58, 31, -29, 82, -81, -36, 58, 67]
  Compare 82 and -81
  Swap 82 and -81
  List after swap: [-58, 31, -29, -81, 82, -36, 58, 67]
  Compare 82 and -36
  Swap 82 and -36
  List after swap: [-58, 31, -29, -81, -36, 82, 58, 67]
  Compare 82 and 58
  Swap 82 and 58
  List after swap: [-58, 31, -29, -81, -36, 58, 82, 67]
  Compare 82 and 67
  Swap 82 and 67
  List after swap: [-58, 31, -29, -81, -36, 58, 67, 82]

Pass 2:
  Compare -58 and 31
  No swap needed
  Compare 31 and -29
  Swap 31 and -29
  List after swap: [-58, -29, 31, -81, -36, 58, 67, 82]
  Compare 31 and -81
  Swap 31 and -81
  List after swap: [-58, -29, -81, 31, -36, 58, 67, 82]
  Compare 31 and -36
  Swap 31 and -36
  List after swap: [-58, -29, -81, -36, 31, 58, 67, 82]
  Compare 31 and 58
  No swap needed
  Compare 58 and 67
  No swap needed

Pass 3:
  Compare -58 and -29
  No swap needed
  Compare -29 and -81
  Swap -29 and -81
  List after swap: [-58, -81, -29, -36, 31, 58, 67, 82]
  Compare -29 and -36
  Swap -29 and -36
  List after swap: [-58, -81, -36, -29, 31, 58, 67, 82]
  Compare -29 and 31
  No swap needed
  Compare 31 and 58
  No swap needed

Pass 4:
  Compare -58 and -81
  Swap -58 and -81
  List after swap: [-81, -58, -36, -29, 31, 58, 67, 82]
  Compare -58 and -36
  No swap needed
  Compare -36 and -29
  No swap needed
  Compare -29 and 31
  No swap needed

Pass 5:
  Compare -81 and -58
  No swap needed
  Compare -58 and -36
  No swap needed
  Compare -36 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -58, -36, -29, 31, 58, 67, 82]
</think>

<response>-81, -58, -36, -29, 31, 58, 67, 82</response>


input: Sort these integers -86, -97, 3, 1 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-86, -97, 3, 1]

Pass 1:
  Compare -86 and -97
  Swap -86 and -97
  List after swap: [-97, -86, 3, 1]
  Compare -86 and 3
  No swap needed
  Compare 3 and 1
  Swap 3 and 1
  List after swap: [-97, -86, 1, 3]

Pass 2:
  Compare -97 and -86
  No swap needed
  Compare -86 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -86, 1, 3]
</think>

<response>-97, -86, 1, 3</response>


input: Arrange the numbers 85, 11, -64, 17, 23, 68, -45, -54, 55, 14 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [85, 11, -64, 17, 23, 68, -45, -54, 55, 14]

Pass 1:
  Compare 85 and 11
  Swap 85 and 11
  List after swap: [11, 85, -64, 17, 23, 68, -45, -54, 55, 14]
  Compare 85 and -64
  Swap 85 and -64
  List after swap: [11, -64, 85, 17, 23, 68, -45, -54, 55, 14]
  Compare 85 and 17
  Swap 85 and 17
  List after swap: [11, -64, 17, 85, 23, 68, -45, -54, 55, 14]
  Compare 85 and 23
  Swap 85 and 23
  List after swap: [11, -64, 17, 23, 85, 68, -45, -54, 55, 14]
  Compare 85 and 68
  Swap 85 and 68
  List after swap: [11, -64, 17, 23, 68, 85, -45, -54, 55, 14]
  Compare 85 and -45
  Swap 85 and -45
  List after swap: [11, -64, 17, 23, 68, -45, 85, -54, 55, 14]
  Compare 85 and -54
  Swap 85 and -54
  List after swap: [11, -64, 17, 23, 68, -45, -54, 85, 55, 14]
  Compare 85 and 55
  Swap 85 and 55
  List after swap: [11, -64, 17, 23, 68, -45, -54, 55, 85, 14]
  Compare 85 and 14
  Swap 85 and 14
  List after swap: [11, -64, 17, 23, 68, -45, -54, 55, 14, 85]

Pass 2:
  Compare 11 and -64
  Swap 11 and -64
  List after swap: [-64, 11, 17, 23, 68, -45, -54, 55, 14, 85]
  Compare 11 and 17
  No swap needed
  Compare 17 and 23
  No swap needed
  Compare 23 and 68
  No swap needed
  Compare 68 and -45
  Swap 68 and -45
  List after swap: [-64, 11, 17, 23, -45, 68, -54, 55, 14, 85]
  Compare 68 and -54
  Swap 68 and -54
  List after swap: [-64, 11, 17, 23, -45, -54, 68, 55, 14, 85]
  Compare 68 and 55
  Swap 68 and 55
  List after swap: [-64, 11, 17, 23, -45, -54, 55, 68, 14, 85]
  Compare 68 and 14
  Swap 68 and 14
  List after swap: [-64, 11, 17, 23, -45, -54, 55, 14, 68, 85]

Pass 3:
  Compare -64 and 11
  No swap needed
  Compare 11 and 17
  No swap needed
  Compare 17 and 23
  No swap needed
  Compare 23 and -45
  Swap 23 and -45
  List after swap: [-64, 11, 17, -45, 23, -54, 55, 14, 68, 85]
  Compare 23 and -54
  Swap 23 and -54
  List after swap: [-64, 11, 17, -45, -54, 23, 55, 14, 68, 85]
  Compare 23 and 55
  No swap needed
  Compare 55 and 14
  Swap 55 and 14
  List after swap: [-64, 11, 17, -45, -54, 23, 14, 55, 68, 85]

Pass 4:
  Compare -64 and 11
  No swap needed
  Compare 11 and 17
  No swap needed
  Compare 17 and -45
  Swap 17 and -45
  List after swap: [-64, 11, -45, 17, -54, 23, 14, 55, 68, 85]
  Compare 17 and -54
  Swap 17 and -54
  List after swap: [-64, 11, -45, -54, 17, 23, 14, 55, 68, 85]
  Compare 17 and 23
  No swap needed
  Compare 23 and 14
  Swap 23 and 14
  List after swap: [-64, 11, -45, -54, 17, 14, 23, 55, 68, 85]

Pass 5:
  Compare -64 and 11
  No swap needed
  Compare 11 and -45
  Swap 11 and -45
  List after swap: [-64, -45, 11, -54, 17, 14, 23, 55, 68, 85]
  Compare 11 and -54
  Swap 11 and -54
  List after swap: [-64, -45, -54, 11, 17, 14, 23, 55, 68, 85]
  Compare 11 and 17
  No swap needed
  Compare 17 and 14
  Swap 17 and 14
  List after swap: [-64, -45, -54, 11, 14, 17, 23, 55, 68, 85]

Pass 6:
  Compare -64 and -45
  No swap needed
  Compare -45 and -54
  Swap -45 and -54
  List after swap: [-64, -54, -45, 11, 14, 17, 23, 55, 68, 85]
  Compare -45 and 11
  No swap needed
  Compare 11 and 14
  No swap needed

Pass 7:
  Compare -64 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  Compare -45 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -54, -45, 11, 14, 17, 23, 55, 68, 85]
</think>

<response>-64, -54, -45, 11, 14, 17, 23, 55, 68, 85</response>


input: Implement bubble sort on -20, 17, -57, 77, -4 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-20, 17, -57, 77, -4]

Pass 1:
  Compare -20 and 17
  No swap needed
  Compare 17 and -57
  Swap 17 and -57
  List after swap: [-20, -57, 17, 77, -4]
  Compare 17 and 77
  No swap needed
  Compare 77 and -4
  Swap 77 and -4
  List after swap: [-20, -57, 17, -4, 77]

Pass 2:
  Compare -20 and -57
  Swap -20 and -57
  List after swap: [-57, -20, 17, -4, 77]
  Compare -20 and 17
  No swap needed
  Compare 17 and -4
  Swap 17 and -4
  List after swap: [-57, -20, -4, 17, 77]

Pass 3:
  Compare -57 and -20
  No swap needed
  Compare -20 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -20, -4, 17, 77]
</think>

<response>-57, -20, -4, 17, 77</response>


input: Use the bubble sort technique to reorder -55, -85, 93, 43, 54, 67 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-55, -85, 93, 43, 54, 67]

Pass 1:
  Compare -55 and -85
  Swap -55 and -85
  List after swap: [-85, -55, 93, 43, 54, 67]
  Compare -55 and 93
  No swap needed
  Compare 93 and 43
  Swap 93 and 43
  List after swap: [-85, -55, 43, 93, 54, 67]
  Compare 93 and 54
  Swap 93 and 54
  List after swap: [-85, -55, 43, 54, 93, 67]
  Compare 93 and 67
  Swap 93 and 67
  List after swap: [-85, -55, 43, 54, 67, 93]

Pass 2:
  Compare -85 and -55
  No swap needed
  Compare -55 and 43
  No swap needed
  Compare 43 and 54
  No swap needed
  Compare 54 and 67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -55, 43, 54, 67, 93]
</think>

<response>-85, -55, 43, 54, 67, 93</response>


input: Implement bubble sort on 79, 83, -37, 33, -73, 96 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [79, 83, -37, 33, -73, 96]

Pass 1:
  Compare 79 and 83
  No swap needed
  Compare 83 and -37
  Swap 83 and -37
  List after swap: [79, -37, 83, 33, -73, 96]
  Compare 83 and 33
  Swap 83 and 33
  List after swap: [79, -37, 33, 83, -73, 96]
  Compare 83 and -73
  Swap 83 and -73
  List after swap: [79, -37, 33, -73, 83, 96]
  Compare 83 and 96
  No swap needed

Pass 2:
  Compare 79 and -37
  Swap 79 and -37
  List after swap: [-37, 79, 33, -73, 83, 96]
  Compare 79 and 33
  Swap 79 and 33
  List after swap: [-37, 33, 79, -73, 83, 96]
  Compare 79 and -73
  Swap 79 and -73
  List after swap: [-37, 33, -73, 79, 83, 96]
  Compare 79 and 83
  No swap needed

Pass 3:
  Compare -37 and 33
  No swap needed
  Compare 33 and -73
  Swap 33 and -73
  List after swap: [-37, -73, 33, 79, 83, 96]
  Compare 33 and 79
  No swap needed

Pass 4:
  Compare -37 and -73
  Swap -37 and -73
  List after swap: [-73, -37, 33, 79, 83, 96]
  Compare -37 and 33
  No swap needed

Pass 5:
  Compare -73 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -37, 33, 79, 83, 96]
</think>

<response>-73, -37, 33, 79, 83, 96</response>


input: Sort the list 80, 38, 70, -26, -32, -57, -1, -12, -64, 43 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [80, 38, 70, -26, -32, -57, -1, -12, -64, 43]

Pass 1:
  Compare 80 and 38
  Swap 80 and 38
  List after swap: [38, 80, 70, -26, -32, -57, -1, -12, -64, 43]
  Compare 80 and 70
  Swap 80 and 70
  List after swap: [38, 70, 80, -26, -32, -57, -1, -12, -64, 43]
  Compare 80 and -26
  Swap 80 and -26
  List after swap: [38, 70, -26, 80, -32, -57, -1, -12, -64, 43]
  Compare 80 and -32
  Swap 80 and -32
  List after swap: [38, 70, -26, -32, 80, -57, -1, -12, -64, 43]
  Compare 80 and -57
  Swap 80 and -57
  List after swap: [38, 70, -26, -32, -57, 80, -1, -12, -64, 43]
  Compare 80 and -1
  Swap 80 and -1
  List after swap: [38, 70, -26, -32, -57, -1, 80, -12, -64, 43]
  Compare 80 and -12
  Swap 80 and -12
  List after swap: [38, 70, -26, -32, -57, -1, -12, 80, -64, 43]
  Compare 80 and -64
  Swap 80 and -64
  List after swap: [38, 70, -26, -32, -57, -1, -12, -64, 80, 43]
  Compare 80 and 43
  Swap 80 and 43
  List after swap: [38, 70, -26, -32, -57, -1, -12, -64, 43, 80]

Pass 2:
  Compare 38 and 70
  No swap needed
  Compare 70 and -26
  Swap 70 and -26
  List after swap: [38, -26, 70, -32, -57, -1, -12, -64, 43, 80]
  Compare 70 and -32
  Swap 70 and -32
  List after swap: [38, -26, -32, 70, -57, -1, -12, -64, 43, 80]
  Compare 70 and -57
  Swap 70 and -57
  List after swap: [38, -26, -32, -57, 70, -1, -12, -64, 43, 80]
  Compare 70 and -1
  Swap 70 and -1
  List after swap: [38, -26, -32, -57, -1, 70, -12, -64, 43, 80]
  Compare 70 and -12
  Swap 70 and -12
  List after swap: [38, -26, -32, -57, -1, -12, 70, -64, 43, 80]
  Compare 70 and -64
  Swap 70 and -64
  List after swap: [38, -26, -32, -57, -1, -12, -64, 70, 43, 80]
  Compare 70 and 43
  Swap 70 and 43
  List after swap: [38, -26, -32, -57, -1, -12, -64, 43, 70, 80]

Pass 3:
  Compare 38 and -26
  Swap 38 and -26
  List after swap: [-26, 38, -32, -57, -1, -12, -64, 43, 70, 80]
  Compare 38 and -32
  Swap 38 and -32
  List after swap: [-26, -32, 38, -57, -1, -12, -64, 43, 70, 80]
  Compare 38 and -57
  Swap 38 and -57
  List after swap: [-26, -32, -57, 38, -1, -12, -64, 43, 70, 80]
  Compare 38 and -1
  Swap 38 and -1
  List after swap: [-26, -32, -57, -1, 38, -12, -64, 43, 70, 80]
  Compare 38 and -12
  Swap 38 and -12
  List after swap: [-26, -32, -57, -1, -12, 38, -64, 43, 70, 80]
  Compare 38 and -64
  Swap 38 and -64
  List after swap: [-26, -32, -57, -1, -12, -64, 38, 43, 70, 80]
  Compare 38 and 43
  No swap needed

Pass 4:
  Compare -26 and -32
  Swap -26 and -32
  List after swap: [-32, -26, -57, -1, -12, -64, 38, 43, 70, 80]
  Compare -26 and -57
  Swap -26 and -57
  List after swap: [-32, -57, -26, -1, -12, -64, 38, 43, 70, 80]
  Compare -26 and -1
  No swap needed
  Compare -1 and -12
  Swap -1 and -12
  List after swap: [-32, -57, -26, -12, -1, -64, 38, 43, 70, 80]
  Compare -1 and -64
  Swap -1 and -64
  List after swap: [-32, -57, -26, -12, -64, -1, 38, 43, 70, 80]
  Compare -1 and 38
  No swap needed

Pass 5:
  Compare -32 and -57
  Swap -32 and -57
  List after swap: [-57, -32, -26, -12, -64, -1, 38, 43, 70, 80]
  Compare -32 and -26
  No swap needed
  Compare -26 and -12
  No swap needed
  Compare -12 and -64
  Swap -12 and -64
  List after swap: [-57, -32, -26, -64, -12, -1, 38, 43, 70, 80]
  Compare -12 and -1
  No swap needed

Pass 6:
  Compare -57 and -32
  No swap needed
  Compare -32 and -26
  No swap needed
  Compare -26 and -64
  Swap -26 and -64
  List after swap: [-57, -32, -64, -26, -12, -1, 38, 43, 70, 80]
  Compare -26 and -12
  No swap needed

Pass 7:
  Compare -57 and -32
  No swap needed
  Compare -32 and -64
  Swap -32 and -64
  List after swap: [-57, -64, -32, -26, -12, -1, 38, 43, 70, 80]
  Compare -32 and -26
  No swap needed

Pass 8:
  Compare -57 and -64
  Swap -57 and -64
  List after swap: [-64, -57, -32, -26, -12, -1, 38, 43, 70, 80]
  Compare -57 and -32
  No swap needed

Pass 9:
  Compare -64 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -57, -32, -26, -12, -1, 38, 43, 70, 80]
</think>

<response>-64, -57, -32, -26, -12, -1, 38, 43, 70, 80</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 29, -62, 28, 64, -24, -48, 44, 61, -80, -82.

output:
<think>
Initial list: [29, -62, 28, 64, -24, -48, 44, 61, -80, -82]

Pass 1:
  Compare 29 and -62
  Swap 29 and -62
  List after swap: [-62, 29, 28, 64, -24, -48, 44, 61, -80, -82]
  Compare 29 and 28
  Swap 29 and 28
  List after swap: [-62, 28, 29, 64, -24, -48, 44, 61, -80, -82]
  Compare 29 and 64
  No swap needed
  Compare 64 and -24
  Swap 64 and -24
  List after swap: [-62, 28, 29, -24, 64, -48, 44, 61, -80, -82]
  Compare 64 and -48
  Swap 64 and -48
  List after swap: [-62, 28, 29, -24, -48, 64, 44, 61, -80, -82]
  Compare 64 and 44
  Swap 64 and 44
  List after swap: [-62, 28, 29, -24, -48, 44, 64, 61, -80, -82]
  Compare 64 and 61
  Swap 64 and 61
  List after swap: [-62, 28, 29, -24, -48, 44, 61, 64, -80, -82]
  Compare 64 and -80
  Swap 64 and -80
  List after swap: [-62, 28, 29, -24, -48, 44, 61, -80, 64, -82]
  Compare 64 and -82
  Swap 64 and -82
  List after swap: [-62, 28, 29, -24, -48, 44, 61, -80, -82, 64]

Pass 2:
  Compare -62 and 28
  No swap needed
  Compare 28 and 29
  No swap needed
  Compare 29 and -24
  Swap 29 and -24
  List after swap: [-62, 28, -24, 29, -48, 44, 61, -80, -82, 64]
  Compare 29 and -48
  Swap 29 and -48
  List after swap: [-62, 28, -24, -48, 29, 44, 61, -80, -82, 64]
  Compare 29 and 44
  No swap needed
  Compare 44 and 61
  No swap needed
  Compare 61 and -80
  Swap 61 and -80
  List after swap: [-62, 28, -24, -48, 29, 44, -80, 61, -82, 64]
  Compare 61 and -82
  Swap 61 and -82
  List after swap: [-62, 28, -24, -48, 29, 44, -80, -82, 61, 64]

Pass 3:
  Compare -62 and 28
  No swap needed
  Compare 28 and -24
  Swap 28 and -24
  List after swap: [-62, -24, 28, -48, 29, 44, -80, -82, 61, 64]
  Compare 28 and -48
  Swap 28 and -48
  List after swap: [-62, -24, -48, 28, 29, 44, -80, -82, 61, 64]
  Compare 28 and 29
  No swap needed
  Compare 29 and 44
  No swap needed
  Compare 44 and -80
  Swap 44 and -80
  List after swap: [-62, -24, -48, 28, 29, -80, 44, -82, 61, 64]
  Compare 44 and -82
  Swap 44 and -82
  List after swap: [-62, -24, -48, 28, 29, -80, -82, 44, 61, 64]

Pass 4:
  Compare -62 and -24
  No swap needed
  Compare -24 and -48
  Swap -24 and -48
  List after swap: [-62, -48, -24, 28, 29, -80, -82, 44, 61, 64]
  Compare -24 and 28
  No swap needed
  Compare 28 and 29
  No swap needed
  Compare 29 and -80
  Swap 29 and -80
  List after swap: [-62, -48, -24, 28, -80, 29, -82, 44, 61, 64]
  Compare 29 and -82
  Swap 29 and -82
  List after swap: [-62, -48, -24, 28, -80, -82, 29, 44, 61, 64]

Pass 5:
  Compare -62 and -48
  No swap needed
  Compare -48 and -24
  No swap needed
  Compare -24 and 28
  No swap needed
  Compare 28 and -80
  Swap 28 and -80
  List after swap: [-62, -48, -24, -80, 28, -82, 29, 44, 61, 64]
  Compare 28 and -82
  Swap 28 and -82
  List after swap: [-62, -48, -24, -80, -82, 28, 29, 44, 61, 64]

Pass 6:
  Compare -62 and -48
  No swap needed
  Compare -48 and -24
  No swap needed
  Compare -24 and -80
  Swap -24 and -80
  List after swap: [-62, -48, -80, -24, -82, 28, 29, 44, 61, 64]
  Compare -24 and -82
  Swap -24 and -82
  List after swap: [-62, -48, -80, -82, -24, 28, 29, 44, 61, 64]

Pass 7:
  Compare -62 and -48
  No swap needed
  Compare -48 and -80
  Swap -48 and -80
  List after swap: [-62, -80, -48, -82, -24, 28, 29, 44, 61, 64]
  Compare -48 and -82
  Swap -48 and -82
  List after swap: [-62, -80, -82, -48, -24, 28, 29, 44, 61, 64]

Pass 8:
  Compare -62 and -80
  Swap -62 and -80
  List after swap: [-80, -62, -82, -48, -24, 28, 29, 44, 61, 64]
  Compare -62 and -82
  Swap -62 and -82
  List after swap: [-80, -82, -62, -48, -24, 28, 29, 44, 61, 64]

Pass 9:
  Compare -80 and -82
  Swap -80 and -82
  List after swap: [-82, -80, -62, -48, -24, 28, 29, 44, 61, 64]

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

Final sorted list: [-82, -80, -62, -48, -24, 28, 29, 44, 61, 64]
</think>

<response>-82, -80, -62, -48, -24, 28, 29, 44, 61, 64</response>


input: Sort the list -60, 29, -1, 97, 22, 3 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-60, 29, -1, 97, 22, 3]

Pass 1:
  Compare -60 and 29
  No swap needed
  Compare 29 and -1
  Swap 29 and -1
  List after swap: [-60, -1, 29, 97, 22, 3]
  Compare 29 and 97
  No swap needed
  Compare 97 and 22
  Swap 97 and 22
  List after swap: [-60, -1, 29, 22, 97, 3]
  Compare 97 and 3
  Swap 97 and 3
  List after swap: [-60, -1, 29, 22, 3, 97]

Pass 2:
  Compare -60 and -1
  No swap needed
  Compare -1 and 29
  No swap needed
  Compare 29 and 22
  Swap 29 and 22
  List after swap: [-60, -1, 22, 29, 3, 97]
  Compare 29 and 3
  Swap 29 and 3
  List after swap: [-60, -1, 22, 3, 29, 97]

Pass 3:
  Compare -60 and -1
  No swap needed
  Compare -1 and 22
  No swap needed
  Compare 22 and 3
  Swap 22 and 3
  List after swap: [-60, -1, 3, 22, 29, 97]

Pass 4:
  Compare -60 and -1
  No swap needed
  Compare -1 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -1, 3, 22, 29, 97]
</think>

<response>-60, -1, 3, 22, 29, 97</response>


input: Use the bubble sort technique to reorder 41, 77, -77, 73, 13, 31, -70, 47 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [41, 77, -77, 73, 13, 31, -70, 47]

Pass 1:
  Compare 41 and 77
  No swap needed
  Compare 77 and -77
  Swap 77 and -77
  List after swap: [41, -77, 77, 73, 13, 31, -70, 47]
  Compare 77 and 73
  Swap 77 and 73
  List after swap: [41, -77, 73, 77, 13, 31, -70, 47]
  Compare 77 and 13
  Swap 77 and 13
  List after swap: [41, -77, 73, 13, 77, 31, -70, 47]
  Compare 77 and 31
  Swap 77 and 31
  List after swap: [41, -77, 73, 13, 31, 77, -70, 47]
  Compare 77 and -70
  Swap 77 and -70
  List after swap: [41, -77, 73, 13, 31, -70, 77, 47]
  Compare 77 and 47
  Swap 77 and 47
  List after swap: [41, -77, 73, 13, 31, -70, 47, 77]

Pass 2:
  Compare 41 and -77
  Swap 41 and -77
  List after swap: [-77, 41, 73, 13, 31, -70, 47, 77]
  Compare 41 and 73
  No swap needed
  Compare 73 and 13
  Swap 73 and 13
  List after swap: [-77, 41, 13, 73, 31, -70, 47, 77]
  Compare 73 and 31
  Swap 73 and 31
  List after swap: [-77, 41, 13, 31, 73, -70, 47, 77]
  Compare 73 and -70
  Swap 73 and -70
  List after swap: [-77, 41, 13, 31, -70, 73, 47, 77]
  Compare 73 and 47
  Swap 73 and 47
  List after swap: [-77, 41, 13, 31, -70, 47, 73, 77]

Pass 3:
  Compare -77 and 41
  No swap needed
  Compare 41 and 13
  Swap 41 and 13
  List after swap: [-77, 13, 41, 31, -70, 47, 73, 77]
  Compare 41 and 31
  Swap 41 and 31
  List after swap: [-77, 13, 31, 41, -70, 47, 73, 77]
  Compare 41 and -70
  Swap 41 and -70
  List after swap: [-77, 13, 31, -70, 41, 47, 73, 77]
  Compare 41 and 47
  No swap needed

Pass 4:
  Compare -77 and 13
  No swap needed
  Compare 13 and 31
  No swap needed
  Compare 31 and -70
  Swap 31 and -70
  List after swap: [-77, 13, -70, 31, 41, 47, 73, 77]
  Compare 31 and 41
  No swap needed

Pass 5:
  Compare -77 and 13
  No swap needed
  Compare 13 and -70
  Swap 13 and -70
  List after swap: [-77, -70, 13, 31, 41, 47, 73, 77]
  Compare 13 and 31
  No swap needed

Pass 6:
  Compare -77 and -70
  No swap needed
  Compare -70 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -70, 13, 31, 41, 47, 73, 77]
</think>

<response>-77, -70, 13, 31, 41, 47, 73, 77</response>


input: Arrange the numbers 44, -67, -15, -60 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [44, -67, -15, -60]

Pass 1:
  Compare 44 and -67
  Swap 44 and -67
  List after swap: [-67, 44, -15, -60]
  Compare 44 and -15
  Swap 44 and -15
  List after swap: [-67, -15, 44, -60]
  Compare 44 and -60
  Swap 44 and -60
  List after swap: [-67, -15, -60, 44]

Pass 2:
  Compare -67 and -15
  No swap needed
  Compare -15 and -60
  Swap -15 and -60
  List after swap: [-67, -60, -15, 44]

Pass 3:
  Compare -67 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -60, -15, 44]
</think>

<response>-67, -60, -15, 44</response>


input: Implement bubble sort on 97, -82, 99, -70, 46, 79 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [97, -82, 99, -70, 46, 79]

Pass 1:
  Compare 97 and -82
  Swap 97 and -82
  List after swap: [-82, 97, 99, -70, 46, 79]
  Compare 97 and 99
  No swap needed
  Compare 99 and -70
  Swap 99 and -70
  List after swap: [-82, 97, -70, 99, 46, 79]
  Compare 99 and 46
  Swap 99 and 46
  List after swap: [-82, 97, -70, 46, 99, 79]
  Compare 99 and 79
  Swap 99 and 79
  List after swap: [-82, 97, -70, 46, 79, 99]

Pass 2:
  Compare -82 and 97
  No swap needed
  Compare 97 and -70
  Swap 97 and -70
  List after swap: [-82, -70, 97, 46, 79, 99]
  Compare 97 and 46
  Swap 97 and 46
  List after swap: [-82, -70, 46, 97, 79, 99]
  Compare 97 and 79
  Swap 97 and 79
  List after swap: [-82, -70, 46, 79, 97, 99]

Pass 3:
  Compare -82 and -70
  No swap needed
  Compare -70 and 46
  No swap needed
  Compare 46 and 79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -70, 46, 79, 97, 99]
</think>

<response>-82, -70, 46, 79, 97, 99</response>


input: Execute bubble sort to sort 81, -8, -43, -14, -33, 89, -28, 26 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [81, -8, -43, -14, -33, 89, -28, 26]

Pass 1:
  Compare 81 and -8
  Swap 81 and -8
  List after swap: [-8, 81, -43, -14, -33, 89, -28, 26]
  Compare 81 and -43
  Swap 81 and -43
  List after swap: [-8, -43, 81, -14, -33, 89, -28, 26]
  Compare 81 and -14
  Swap 81 and -14
  List after swap: [-8, -43, -14, 81, -33, 89, -28, 26]
  Compare 81 and -33
  Swap 81 and -33
  List after swap: [-8, -43, -14, -33, 81, 89, -28, 26]
  Compare 81 and 89
  No swap needed
  Compare 89 and -28
  Swap 89 and -28
  List after swap: [-8, -43, -14, -33, 81, -28, 89, 26]
  Compare 89 and 26
  Swap 89 and 26
  List after swap: [-8, -43, -14, -33, 81, -28, 26, 89]

Pass 2:
  Compare -8 and -43
  Swap -8 and -43
  List after swap: [-43, -8, -14, -33, 81, -28, 26, 89]
  Compare -8 and -14
  Swap -8 and -14
  List after swap: [-43, -14, -8, -33, 81, -28, 26, 89]
  Compare -8 and -33
  Swap -8 and -33
  List after swap: [-43, -14, -33, -8, 81, -28, 26, 89]
  Compare -8 and 81
  No swap needed
  Compare 81 and -28
  Swap 81 and -28
  List after swap: [-43, -14, -33, -8, -28, 81, 26, 89]
  Compare 81 and 26
  Swap 81 and 26
  List after swap: [-43, -14, -33, -8, -28, 26, 81, 89]

Pass 3:
  Compare -43 and -14
  No swap needed
  Compare -14 and -33
  Swap -14 and -33
  List after swap: [-43, -33, -14, -8, -28, 26, 81, 89]
  Compare -14 and -8
  No swap needed
  Compare -8 and -28
  Swap -8 and -28
  List after swap: [-43, -33, -14, -28, -8, 26, 81, 89]
  Compare -8 and 26
  No swap needed

Pass 4:
  Compare -43 and -33
  No swap needed
  Compare -33 and -14
  No swap needed
  Compare -14 and -28
  Swap -14 and -28
  List after swap: [-43, -33, -28, -14, -8, 26, 81, 89]
  Compare -14 and -8
  No swap needed

Pass 5:
  Compare -43 and -33
  No swap needed
  Compare -33 and -28
  No swap needed
  Compare -28 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -33, -28, -14, -8, 26, 81, 89]
</think>

<response>-43, -33, -28, -14, -8, 26, 81, 89</response>


input: Execute bubble sort to sort 7, -62, -37, -66, 48 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [7, -62, -37, -66, 48]

Pass 1:
  Compare 7 and -62
  Swap 7 and -62
  List after swap: [-62, 7, -37, -66, 48]
  Compare 7 and -37
  Swap 7 and -37
  List after swap: [-62, -37, 7, -66, 48]
  Compare 7 and -66
  Swap 7 and -66
  List after swap: [-62, -37, -66, 7, 48]
  Compare 7 and 48
  No swap needed

Pass 2:
  Compare -62 and -37
  No swap needed
  Compare -37 and -66
  Swap -37 and -66
  List after swap: [-62, -66, -37, 7, 48]
  Compare -37 and 7
  No swap needed

Pass 3:
  Compare -62 and -66
  Swap -62 and -66
  List after swap: [-66, -62, -37, 7, 48]
  Compare -62 and -37
  No swap needed

Pass 4:
  Compare -66 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -62, -37, 7, 48]
</think>

<response>-66, -62, -37, 7, 48</response>


input: Arrange the numbers 10, -27, 24, 67, -13, -76, -70 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [10, -27, 24, 67, -13, -76, -70]

Pass 1:
  Compare 10 and -27
  Swap 10 and -27
  List after swap: [-27, 10, 24, 67, -13, -76, -70]
  Compare 10 and 24
  No swap needed
  Compare 24 and 67
  No swap needed
  Compare 67 and -13
  Swap 67 and -13
  List after swap: [-27, 10, 24, -13, 67, -76, -70]
  Compare 67 and -76
  Swap 67 and -76
  List after swap: [-27, 10, 24, -13, -76, 67, -70]
  Compare 67 and -70
  Swap 67 and -70
  List after swap: [-27, 10, 24, -13, -76, -70, 67]

Pass 2:
  Compare -27 and 10
  No swap needed
  Compare 10 and 24
  No swap needed
  Compare 24 and -13
  Swap 24 and -13
  List after swap: [-27, 10, -13, 24, -76, -70, 67]
  Compare 24 and -76
  Swap 24 and -76
  List after swap: [-27, 10, -13, -76, 24, -70, 67]
  Compare 24 and -70
  Swap 24 and -70
  List after swap: [-27, 10, -13, -76, -70, 24, 67]

Pass 3:
  Compare -27 and 10
  No swap needed
  Compare 10 and -13
  Swap 10 and -13
  List after swap: [-27, -13, 10, -76, -70, 24, 67]
  Compare 10 and -76
  Swap 10 and -76
  List after swap: [-27, -13, -76, 10, -70, 24, 67]
  Compare 10 and -70
  Swap 10 and -70
  List after swap: [-27, -13, -76, -70, 10, 24, 67]

Pass 4:
  Compare -27 and -13
  No swap needed
  Compare -13 and -76
  Swap -13 and -76
  List after swap: [-27, -76, -13, -70, 10, 24, 67]
  Compare -13 and -70
  Swap -13 and -70
  List after swap: [-27, -76, -70, -13, 10, 24, 67]

Pass 5:
  Compare -27 and -76
  Swap -27 and -76
  List after swap: [-76, -27, -70, -13, 10, 24, 67]
  Compare -27 and -70
  Swap -27 and -70
  List after swap: [-76, -70, -27, -13, 10, 24, 67]

Pass 6:
  Compare -76 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -70, -27, -13, 10, 24, 67]
</think>

<response>-76, -70, -27, -13, 10, 24, 67</response>


input: Using the bubble sort method, sort 26, -60, -82, 43 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [26, -60, -82, 43]

Pass 1:
  Compare 26 and -60
  Swap 26 and -60
  List after swap: [-60, 26, -82, 43]
  Compare 26 and -82
  Swap 26 and -82
  List after swap: [-60, -82, 26, 43]
  Compare 26 and 43
  No swap needed

Pass 2:
  Compare -60 and -82
  Swap -60 and -82
  List after swap: [-82, -60, 26, 43]
  Compare -60 and 26
  No swap needed

Pass 3:
  Compare -82 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -60, 26, 43]
</think>

<response>-82, -60, 26, 43</response>


input: Sort the list -33, 56, -41, -73 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-33, 56, -41, -73]

Pass 1:
  Compare -33 and 56
  No swap needed
  Compare 56 and -41
  Swap 56 and -41
  List after swap: [-33, -41, 56, -73]
  Compare 56 and -73
  Swap 56 and -73
  List after swap: [-33, -41, -73, 56]

Pass 2:
  Compare -33 and -41
  Swap -33 and -41
  List after swap: [-41, -33, -73, 56]
  Compare -33 and -73
  Swap -33 and -73
  List after swap: [-41, -73, -33, 56]

Pass 3:
  Compare -41 and -73
  Swap -41 and -73
  List after swap: [-73, -41, -33, 56]

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

Final sorted list: [-73, -41, -33, 56]
</think>

<response>-73, -41, -33, 56</response>


input: Carry out the bubble sort algorithm on -13, 98, 78, -91, 97, 7, 6, 16 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-13, 98, 78, -91, 97, 7, 6, 16]

Pass 1:
  Compare -13 and 98
  No swap needed
  Compare 98 and 78
  Swap 98 and 78
  List after swap: [-13, 78, 98, -91, 97, 7, 6, 16]
  Compare 98 and -91
  Swap 98 and -91
  List after swap: [-13, 78, -91, 98, 97, 7, 6, 16]
  Compare 98 and 97
  Swap 98 and 97
  List after swap: [-13, 78, -91, 97, 98, 7, 6, 16]
  Compare 98 and 7
  Swap 98 and 7
  List after swap: [-13, 78, -91, 97, 7, 98, 6, 16]
  Compare 98 and 6
  Swap 98 and 6
  List after swap: [-13, 78, -91, 97, 7, 6, 98, 16]
  Compare 98 and 16
  Swap 98 and 16
  List after swap: [-13, 78, -91, 97, 7, 6, 16, 98]

Pass 2:
  Compare -13 and 78
  No swap needed
  Compare 78 and -91
  Swap 78 and -91
  List after swap: [-13, -91, 78, 97, 7, 6, 16, 98]
  Compare 78 and 97
  No swap needed
  Compare 97 and 7
  Swap 97 and 7
  List after swap: [-13, -91, 78, 7, 97, 6, 16, 98]
  Compare 97 and 6
  Swap 97 and 6
  List after swap: [-13, -91, 78, 7, 6, 97, 16, 98]
  Compare 97 and 16
  Swap 97 and 16
  List after swap: [-13, -91, 78, 7, 6, 16, 97, 98]

Pass 3:
  Compare -13 and -91
  Swap -13 and -91
  List after swap: [-91, -13, 78, 7, 6, 16, 97, 98]
  Compare -13 and 78
  No swap needed
  Compare 78 and 7
  Swap 78 and 7
  List after swap: [-91, -13, 7, 78, 6, 16, 97, 98]
  Compare 78 and 6
  Swap 78 and 6
  List after swap: [-91, -13, 7, 6, 78, 16, 97, 98]
  Compare 78 and 16
  Swap 78 and 16
  List after swap: [-91, -13, 7, 6, 16, 78, 97, 98]

Pass 4:
  Compare -91 and -13
  No swap needed
  Compare -13 and 7
  No swap needed
  Compare 7 and 6
  Swap 7 and 6
  List after swap: [-91, -13, 6, 7, 16, 78, 97, 98]
  Compare 7 and 16
  No swap needed

Pass 5:
  Compare -91 and -13
  No swap needed
  Compare -13 and 6
  No swap needed
  Compare 6 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -13, 6, 7, 16, 78, 97, 98]
</think>

<response>-91, -13, 6, 7, 16, 78, 97, 98</response>


input: Using the bubble sort method, sort -32, -68, -50, 24, -6, 82, -24, 66 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-32, -68, -50, 24, -6, 82, -24, 66]

Pass 1:
  Compare -32 and -68
  Swap -32 and -68
  List after swap: [-68, -32, -50, 24, -6, 82, -24, 66]
  Compare -32 and -50
  Swap -32 and -50
  List after swap: [-68, -50, -32, 24, -6, 82, -24, 66]
  Compare -32 and 24
  No swap needed
  Compare 24 and -6
  Swap 24 and -6
  List after swap: [-68, -50, -32, -6, 24, 82, -24, 66]
  Compare 24 and 82
  No swap needed
  Compare 82 and -24
  Swap 82 and -24
  List after swap: [-68, -50, -32, -6, 24, -24, 82, 66]
  Compare 82 and 66
  Swap 82 and 66
  List after swap: [-68, -50, -32, -6, 24, -24, 66, 82]

Pass 2:
  Compare -68 and -50
  No swap needed
  Compare -50 and -32
  No swap needed
  Compare -32 and -6
  No swap needed
  Compare -6 and 24
  No swap needed
  Compare 24 and -24
  Swap 24 and -24
  List after swap: [-68, -50, -32, -6, -24, 24, 66, 82]
  Compare 24 and 66
  No swap needed

Pass 3:
  Compare -68 and -50
  No swap needed
  Compare -50 and -32
  No swap needed
  Compare -32 and -6
  No swap needed
  Compare -6 and -24
  Swap -6 and -24
  List after swap: [-68, -50, -32, -24, -6, 24, 66, 82]
  Compare -6 and 24
  No swap needed

Pass 4:
  Compare -68 and -50
  No swap needed
  Compare -50 and -32
  No swap needed
  Compare -32 and -24
  No swap needed
  Compare -24 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -50, -32, -24, -6, 24, 66, 82]
</think>

<response>-68, -50, -32, -24, -6, 24, 66, 82</response>


input: Carry out the bubble sort algorithm on 14, 95, 38, 23, -6, -49, -67 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [14, 95, 38, 23, -6, -49, -67]

Pass 1:
  Compare 14 and 95
  No swap needed
  Compare 95 and 38
  Swap 95 and 38
  List after swap: [14, 38, 95, 23, -6, -49, -67]
  Compare 95 and 23
  Swap 95 and 23
  List after swap: [14, 38, 23, 95, -6, -49, -67]
  Compare 95 and -6
  Swap 95 and -6
  List after swap: [14, 38, 23, -6, 95, -49, -67]
  Compare 95 and -49
  Swap 95 and -49
  List after swap: [14, 38, 23, -6, -49, 95, -67]
  Compare 95 and -67
  Swap 95 and -67
  List after swap: [14, 38, 23, -6, -49, -67, 95]

Pass 2:
  Compare 14 and 38
  No swap needed
  Compare 38 and 23
  Swap 38 and 23
  List after swap: [14, 23, 38, -6, -49, -67, 95]
  Compare 38 and -6
  Swap 38 and -6
  List after swap: [14, 23, -6, 38, -49, -67, 95]
  Compare 38 and -49
  Swap 38 and -49
  List after swap: [14, 23, -6, -49, 38, -67, 95]
  Compare 38 and -67
  Swap 38 and -67
  List after swap: [14, 23, -6, -49, -67, 38, 95]

Pass 3:
  Compare 14 and 23
  No swap needed
  Compare 23 and -6
  Swap 23 and -6
  List after swap: [14, -6, 23, -49, -67, 38, 95]
  Compare 23 and -49
  Swap 23 and -49
  List after swap: [14, -6, -49, 23, -67, 38, 95]
  Compare 23 and -67
  Swap 23 and -67
  List after swap: [14, -6, -49, -67, 23, 38, 95]

Pass 4:
  Compare 14 and -6
  Swap 14 and -6
  List after swap: [-6, 14, -49, -67, 23, 38, 95]
  Compare 14 and -49
  Swap 14 and -49
  List after swap: [-6, -49, 14, -67, 23, 38, 95]
  Compare 14 and -67
  Swap 14 and -67
  List after swap: [-6, -49, -67, 14, 23, 38, 95]

Pass 5:
  Compare -6 and -49
  Swap -6 and -49
  List after swap: [-49, -6, -67, 14, 23, 38, 95]
  Compare -6 and -67
  Swap -6 and -67
  List after swap: [-49, -67, -6, 14, 23, 38, 95]

Pass 6:
  Compare -49 and -67
  Swap -49 and -67
  List after swap: [-67, -49, -6, 14, 23, 38, 95]

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

Final sorted list: [-67, -49, -6, 14, 23, 38, 95]
</think>

<response>-67, -49, -6, 14, 23, 38, 95</response>


input: Arrange the numbers -55, 87, 99, -93, 55, 5 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-55, 87, 99, -93, 55, 5]

Pass 1:
  Compare -55 and 87
  No swap needed
  Compare 87 and 99
  No swap needed
  Compare 99 and -93
  Swap 99 and -93
  List after swap: [-55, 87, -93, 99, 55, 5]
  Compare 99 and 55
  Swap 99 and 55
  List after swap: [-55, 87, -93, 55, 99, 5]
  Compare 99 and 5
  Swap 99 and 5
  List after swap: [-55, 87, -93, 55, 5, 99]

Pass 2:
  Compare -55 and 87
  No swap needed
  Compare 87 and -93
  Swap 87 and -93
  List after swap: [-55, -93, 87, 55, 5, 99]
  Compare 87 and 55
  Swap 87 and 55
  List after swap: [-55, -93, 55, 87, 5, 99]
  Compare 87 and 5
  Swap 87 and 5
  List after swap: [-55, -93, 55, 5, 87, 99]

Pass 3:
  Compare -55 and -93
  Swap -55 and -93
  List after swap: [-93, -55, 55, 5, 87, 99]
  Compare -55 and 55
  No swap needed
  Compare 55 and 5
  Swap 55 and 5
  List after swap: [-93, -55, 5, 55, 87, 99]

Pass 4:
  Compare -93 and -55
  No swap needed
  Compare -55 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -55, 5, 55, 87, 99]
</think>

<response>-93, -55, 5, 55, 87, 99</response>


input: Demonstrate how bubble sort orders the integers -54, -42, -47, 53, -35 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-54, -42, -47, 53, -35]

Pass 1:
  Compare -54 and -42
  No swap needed
  Compare -42 and -47
  Swap -42 and -47
  List after swap: [-54, -47, -42, 53, -35]
  Compare -42 and 53
  No swap needed
  Compare 53 and -35
  Swap 53 and -35
  List after swap: [-54, -47, -42, -35, 53]

Pass 2:
  Compare -54 and -47
  No swap needed
  Compare -47 and -42
  No swap needed
  Compare -42 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -47, -42, -35, 53]
</think>

<response>-54, -47, -42, -35, 53</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 82, 21, -89, 77, 65, -37, 24, 33.

output:
<think>
Initial list: [82, 21, -89, 77, 65, -37, 24, 33]

Pass 1:
  Compare 82 and 21
  Swap 82 and 21
  List after swap: [21, 82, -89, 77, 65, -37, 24, 33]
  Compare 82 and -89
  Swap 82 and -89
  List after swap: [21, -89, 82, 77, 65, -37, 24, 33]
  Compare 82 and 77
  Swap 82 and 77
  List after swap: [21, -89, 77, 82, 65, -37, 24, 33]
  Compare 82 and 65
  Swap 82 and 65
  List after swap: [21, -89, 77, 65, 82, -37, 24, 33]
  Compare 82 and -37
  Swap 82 and -37
  List after swap: [21, -89, 77, 65, -37, 82, 24, 33]
  Compare 82 and 24
  Swap 82 and 24
  List after swap: [21, -89, 77, 65, -37, 24, 82, 33]
  Compare 82 and 33
  Swap 82 and 33
  List after swap: [21, -89, 77, 65, -37, 24, 33, 82]

Pass 2:
  Compare 21 and -89
  Swap 21 and -89
  List after swap: [-89, 21, 77, 65, -37, 24, 33, 82]
  Compare 21 and 77
  No swap needed
  Compare 77 and 65
  Swap 77 and 65
  List after swap: [-89, 21, 65, 77, -37, 24, 33, 82]
  Compare 77 and -37
  Swap 77 and -37
  List after swap: [-89, 21, 65, -37, 77, 24, 33, 82]
  Compare 77 and 24
  Swap 77 and 24
  List after swap: [-89, 21, 65, -37, 24, 77, 33, 82]
  Compare 77 and 33
  Swap 77 and 33
  List after swap: [-89, 21, 65, -37, 24, 33, 77, 82]

Pass 3:
  Compare -89 and 21
  No swap needed
  Compare 21 and 65
  No swap needed
  Compare 65 and -37
  Swap 65 and -37
  List after swap: [-89, 21, -37, 65, 24, 33, 77, 82]
  Compare 65 and 24
  Swap 65 and 24
  List after swap: [-89, 21, -37, 24, 65, 33, 77, 82]
  Compare 65 and 33
  Swap 65 and 33
  List after swap: [-89, 21, -37, 24, 33, 65, 77, 82]

Pass 4:
  Compare -89 and 21
  No swap needed
  Compare 21 and -37
  Swap 21 and -37
  List after swap: [-89, -37, 21, 24, 33, 65, 77, 82]
  Compare 21 and 24
  No swap needed
  Compare 24 and 33
  No swap needed

Pass 5:
  Compare -89 and -37
  No swap needed
  Compare -37 and 21
  No swap needed
  Compare 21 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -37, 21, 24, 33, 65, 77, 82]
</think>

<response>-89, -37, 21, 24, 33, 65, 77, 82</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -87, 23, -19, 43, 82.

output:
<think>
Initial list: [-87, 23, -19, 43, 82]

Pass 1:
  Compare -87 and 23
  No swap needed
  Compare 23 and -19
  Swap 23 and -19
  List after swap: [-87, -19, 23, 43, 82]
  Compare 23 and 43
  No swap needed
  Compare 43 and 82
  No swap needed

Pass 2:
  Compare -87 and -19
  No swap needed
  Compare -19 and 23
  No swap needed
  Compare 23 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -19, 23, 43, 82]
</think>

<response>-87, -19, 23, 43, 82</response>


input: Perform a bubble sort on the integers 98, -56, -24, -15, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [98, -56, -24, -15]

Pass 1:
  Compare 98 and -56
  Swap 98 and -56
  List after swap: [-56, 98, -24, -15]
  Compare 98 and -24
  Swap 98 and -24
  List after swap: [-56, -24, 98, -15]
  Compare 98 and -15
  Swap 98 and -15
  List after swap: [-56, -24, -15, 98]

Pass 2:
  Compare -56 and -24
  No swap needed
  Compare -24 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -24, -15, 98]
</think>

<response>-56, -24, -15, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 55, 1, 84, 47, 57, -2, -64, -18, -80.

output:
<think>
Initial list: [55, 1, 84, 47, 57, -2, -64, -18, -80]

Pass 1:
  Compare 55 and 1
  Swap 55 and 1
  List after swap: [1, 55, 84, 47, 57, -2, -64, -18, -80]
  Compare 55 and 84
  No swap needed
  Compare 84 and 47
  Swap 84 and 47
  List after swap: [1, 55, 47, 84, 57, -2, -64, -18, -80]
  Compare 84 and 57
  Swap 84 and 57
  List after swap: [1, 55, 47, 57, 84, -2, -64, -18, -80]
  Compare 84 and -2
  Swap 84 and -2
  List after swap: [1, 55, 47, 57, -2, 84, -64, -18, -80]
  Compare 84 and -64
  Swap 84 and -64
  List after swap: [1, 55, 47, 57, -2, -64, 84, -18, -80]
  Compare 84 and -18
  Swap 84 and -18
  List after swap: [1, 55, 47, 57, -2, -64, -18, 84, -80]
  Compare 84 and -80
  Swap 84 and -80
  List after swap: [1, 55, 47, 57, -2, -64, -18, -80, 84]

Pass 2:
  Compare 1 and 55
  No swap needed
  Compare 55 and 47
  Swap 55 and 47
  List after swap: [1, 47, 55, 57, -2, -64, -18, -80, 84]
  Compare 55 and 57
  No swap needed
  Compare 57 and -2
  Swap 57 and -2
  List after swap: [1, 47, 55, -2, 57, -64, -18, -80, 84]
  Compare 57 and -64
  Swap 57 and -64
  List after swap: [1, 47, 55, -2, -64, 57, -18, -80, 84]
  Compare 57 and -18
  Swap 57 and -18
  List after swap: [1, 47, 55, -2, -64, -18, 57, -80, 84]
  Compare 57 and -80
  Swap 57 and -80
  List after swap: [1, 47, 55, -2, -64, -18, -80, 57, 84]

Pass 3:
  Compare 1 and 47
  No swap needed
  Compare 47 and 55
  No swap needed
  Compare 55 and -2
  Swap 55 and -2
  List after swap: [1, 47, -2, 55, -64, -18, -80, 57, 84]
  Compare 55 and -64
  Swap 55 and -64
  List after swap: [1, 47, -2, -64, 55, -18, -80, 57, 84]
  Compare 55 and -18
  Swap 55 and -18
  List after swap: [1, 47, -2, -64, -18, 55, -80, 57, 84]
  Compare 55 and -80
  Swap 55 and -80
  List after swap: [1, 47, -2, -64, -18, -80, 55, 57, 84]

Pass 4:
  Compare 1 and 47
  No swap needed
  Compare 47 and -2
  Swap 47 and -2
  List after swap: [1, -2, 47, -64, -18, -80, 55, 57, 84]
  Compare 47 and -64
  Swap 47 and -64
  List after swap: [1, -2, -64, 47, -18, -80, 55, 57, 84]
  Compare 47 and -18
  Swap 47 and -18
  List after swap: [1, -2, -64, -18, 47, -80, 55, 57, 84]
  Compare 47 and -80
  Swap 47 and -80
  List after swap: [1, -2, -64, -18, -80, 47, 55, 57, 84]

Pass 5:
  Compare 1 and -2
  Swap 1 and -2
  List after swap: [-2, 1, -64, -18, -80, 47, 55, 57, 84]
  Compare 1 and -64
  Swap 1 and -64
  List after swap: [-2, -64, 1, -18, -80, 47, 55, 57, 84]
  Compare 1 and -18
  Swap 1 and -18
  List after swap: [-2, -64, -18, 1, -80, 47, 55, 57, 84]
  Compare 1 and -80
  Swap 1 and -80
  List after swap: [-2, -64, -18, -80, 1, 47, 55, 57, 84]

Pass 6:
  Compare -2 and -64
  Swap -2 and -64
  List after swap: [-64, -2, -18, -80, 1, 47, 55, 57, 84]
  Compare -2 and -18
  Swap -2 and -18
  List after swap: [-64, -18, -2, -80, 1, 47, 55, 57, 84]
  Compare -2 and -80
  Swap -2 and -80
  List after swap: [-64, -18, -80, -2, 1, 47, 55, 57, 84]

Pass 7:
  Compare -64 and -18
  No swap needed
  Compare -18 and -80
  Swap -18 and -80
  List after swap: [-64, -80, -18, -2, 1, 47, 55, 57, 84]

Pass 8:
  Compare -64 and -80
  Swap -64 and -80
  List after swap: [-80, -64, -18, -2, 1, 47, 55, 57, 84]

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

Final sorted list: [-80, -64, -18, -2, 1, 47, 55, 57, 84]
</think>

<response>-80, -64, -18, -2, 1, 47, 55, 57, 84</response>


input: Demonstrate how bubble sort orders the integers -53, 66, 1, -97, 65, 8, 99 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-53, 66, 1, -97, 65, 8, 99]

Pass 1:
  Compare -53 and 66
  No swap needed
  Compare 66 and 1
  Swap 66 and 1
  List after swap: [-53, 1, 66, -97, 65, 8, 99]
  Compare 66 and -97
  Swap 66 and -97
  List after swap: [-53, 1, -97, 66, 65, 8, 99]
  Compare 66 and 65
  Swap 66 and 65
  List after swap: [-53, 1, -97, 65, 66, 8, 99]
  Compare 66 and 8
  Swap 66 and 8
  List after swap: [-53, 1, -97, 65, 8, 66, 99]
  Compare 66 and 99
  No swap needed

Pass 2:
  Compare -53 and 1
  No swap needed
  Compare 1 and -97
  Swap 1 and -97
  List after swap: [-53, -97, 1, 65, 8, 66, 99]
  Compare 1 and 65
  No swap needed
  Compare 65 and 8
  Swap 65 and 8
  List after swap: [-53, -97, 1, 8, 65, 66, 99]
  Compare 65 and 66
  No swap needed

Pass 3:
  Compare -53 and -97
  Swap -53 and -97
  List after swap: [-97, -53, 1, 8, 65, 66, 99]
  Compare -53 and 1
  No swap needed
  Compare 1 and 8
  No swap needed
  Compare 8 and 65
  No swap needed

Pass 4:
  Compare -97 and -53
  No swap needed
  Compare -53 and 1
  No swap needed
  Compare 1 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -53, 1, 8, 65, 66, 99]
</think>

<response>-97, -53, 1, 8, 65, 66, 99</response>


input: Use the bubble sort technique to reorder 67, 38, 7, -48, 3, 36, 65, -65 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [67, 38, 7, -48, 3, 36, 65, -65]

Pass 1:
  Compare 67 and 38
  Swap 67 and 38
  List after swap: [38, 67, 7, -48, 3, 36, 65, -65]
  Compare 67 and 7
  Swap 67 and 7
  List after swap: [38, 7, 67, -48, 3, 36, 65, -65]
  Compare 67 and -48
  Swap 67 and -48
  List after swap: [38, 7, -48, 67, 3, 36, 65, -65]
  Compare 67 and 3
  Swap 67 and 3
  List after swap: [38, 7, -48, 3, 67, 36, 65, -65]
  Compare 67 and 36
  Swap 67 and 36
  List after swap: [38, 7, -48, 3, 36, 67, 65, -65]
  Compare 67 and 65
  Swap 67 and 65
  List after swap: [38, 7, -48, 3, 36, 65, 67, -65]
  Compare 67 and -65
  Swap 67 and -65
  List after swap: [38, 7, -48, 3, 36, 65, -65, 67]

Pass 2:
  Compare 38 and 7
  Swap 38 and 7
  List after swap: [7, 38, -48, 3, 36, 65, -65, 67]
  Compare 38 and -48
  Swap 38 and -48
  List after swap: [7, -48, 38, 3, 36, 65, -65, 67]
  Compare 38 and 3
  Swap 38 and 3
  List after swap: [7, -48, 3, 38, 36, 65, -65, 67]
  Compare 38 and 36
  Swap 38 and 36
  List after swap: [7, -48, 3, 36, 38, 65, -65, 67]
  Compare 38 and 65
  No swap needed
  Compare 65 and -65
  Swap 65 and -65
  List after swap: [7, -48, 3, 36, 38, -65, 65, 67]

Pass 3:
  Compare 7 and -48
  Swap 7 and -48
  List after swap: [-48, 7, 3, 36, 38, -65, 65, 67]
  Compare 7 and 3
  Swap 7 and 3
  List after swap: [-48, 3, 7, 36, 38, -65, 65, 67]
  Compare 7 and 36
  No swap needed
  Compare 36 and 38
  No swap needed
  Compare 38 and -65
  Swap 38 and -65
  List after swap: [-48, 3, 7, 36, -65, 38, 65, 67]

Pass 4:
  Compare -48 and 3
  No swap needed
  Compare 3 and 7
  No swap needed
  Compare 7 and 36
  No swap needed
  Compare 36 and -65
  Swap 36 and -65
  List after swap: [-48, 3, 7, -65, 36, 38, 65, 67]

Pass 5:
  Compare -48 and 3
  No swap needed
  Compare 3 and 7
  No swap needed
  Compare 7 and -65
  Swap 7 and -65
  List after swap: [-48, 3, -65, 7, 36, 38, 65, 67]

Pass 6:
  Compare -48 and 3
  No swap needed
  Compare 3 and -65
  Swap 3 and -65
  List after swap: [-48, -65, 3, 7, 36, 38, 65, 67]

Pass 7:
  Compare -48 and -65
  Swap -48 and -65
  List after swap: [-65, -48, 3, 7, 36, 38, 65, 67]

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

Final sorted list: [-65, -48, 3, 7, 36, 38, 65, 67]
</think>

<response>-65, -48, 3, 7, 36, 38, 65, 67</response>


input: Sort these integers -59, -12, 72, -36, -78, 24, -87, -81 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-59, -12, 72, -36, -78, 24, -87, -81]

Pass 1:
  Compare -59 and -12
  No swap needed
  Compare -12 and 72
  No swap needed
  Compare 72 and -36
  Swap 72 and -36
  List after swap: [-59, -12, -36, 72, -78, 24, -87, -81]
  Compare 72 and -78
  Swap 72 and -78
  List after swap: [-59, -12, -36, -78, 72, 24, -87, -81]
  Compare 72 and 24
  Swap 72 and 24
  List after swap: [-59, -12, -36, -78, 24, 72, -87, -81]
  Compare 72 and -87
  Swap 72 and -87
  List after swap: [-59, -12, -36, -78, 24, -87, 72, -81]
  Compare 72 and -81
  Swap 72 and -81
  List after swap: [-59, -12, -36, -78, 24, -87, -81, 72]

Pass 2:
  Compare -59 and -12
  No swap needed
  Compare -12 and -36
  Swap -12 and -36
  List after swap: [-59, -36, -12, -78, 24, -87, -81, 72]
  Compare -12 and -78
  Swap -12 and -78
  List after swap: [-59, -36, -78, -12, 24, -87, -81, 72]
  Compare -12 and 24
  No swap needed
  Compare 24 and -87
  Swap 24 and -87
  List after swap: [-59, -36, -78, -12, -87, 24, -81, 72]
  Compare 24 and -81
  Swap 24 and -81
  List after swap: [-59, -36, -78, -12, -87, -81, 24, 72]

Pass 3:
  Compare -59 and -36
  No swap needed
  Compare -36 and -78
  Swap -36 and -78
  List after swap: [-59, -78, -36, -12, -87, -81, 24, 72]
  Compare -36 and -12
  No swap needed
  Compare -12 and -87
  Swap -12 and -87
  List after swap: [-59, -78, -36, -87, -12, -81, 24, 72]
  Compare -12 and -81
  Swap -12 and -81
  List after swap: [-59, -78, -36, -87, -81, -12, 24, 72]

Pass 4:
  Compare -59 and -78
  Swap -59 and -78
  List after swap: [-78, -59, -36, -87, -81, -12, 24, 72]
  Compare -59 and -36
  No swap needed
  Compare -36 and -87
  Swap -36 and -87
  List after swap: [-78, -59, -87, -36, -81, -12, 24, 72]
  Compare -36 and -81
  Swap -36 and -81
  List after swap: [-78, -59, -87, -81, -36, -12, 24, 72]

Pass 5:
  Compare -78 and -59
  No swap needed
  Compare -59 and -87
  Swap -59 and -87
  List after swap: [-78, -87, -59, -81, -36, -12, 24, 72]
  Compare -59 and -81
  Swap -59 and -81
  List after swap: [-78, -87, -81, -59, -36, -12, 24, 72]

Pass 6:
  Compare -78 and -87
  Swap -78 and -87
  List after swap: [-87, -78, -81, -59, -36, -12, 24, 72]
  Compare -78 and -81
  Swap -78 and -81
  List after swap: [-87, -81, -78, -59, -36, -12, 24, 72]

Pass 7:
  Compare -87 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -81, -78, -59, -36, -12, 24, 72]
</think>

<response>-87, -81, -78, -59, -36, -12, 24, 72</response>


input: Arrange the numbers 86, -26, 76, -66, -56, 10, -12, 67 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [86, -26, 76, -66, -56, 10, -12, 67]

Pass 1:
  Compare 86 and -26
  Swap 86 and -26
  List after swap: [-26, 86, 76, -66, -56, 10, -12, 67]
  Compare 86 and 76
  Swap 86 and 76
  List after swap: [-26, 76, 86, -66, -56, 10, -12, 67]
  Compare 86 and -66
  Swap 86 and -66
  List after swap: [-26, 76, -66, 86, -56, 10, -12, 67]
  Compare 86 and -56
  Swap 86 and -56
  List after swap: [-26, 76, -66, -56, 86, 10, -12, 67]
  Compare 86 and 10
  Swap 86 and 10
  List after swap: [-26, 76, -66, -56, 10, 86, -12, 67]
  Compare 86 and -12
  Swap 86 and -12
  List after swap: [-26, 76, -66, -56, 10, -12, 86, 67]
  Compare 86 and 67
  Swap 86 and 67
  List after swap: [-26, 76, -66, -56, 10, -12, 67, 86]

Pass 2:
  Compare -26 and 76
  No swap needed
  Compare 76 and -66
  Swap 76 and -66
  List after swap: [-26, -66, 76, -56, 10, -12, 67, 86]
  Compare 76 and -56
  Swap 76 and -56
  List after swap: [-26, -66, -56, 76, 10, -12, 67, 86]
  Compare 76 and 10
  Swap 76 and 10
  List after swap: [-26, -66, -56, 10, 76, -12, 67, 86]
  Compare 76 and -12
  Swap 76 and -12
  List after swap: [-26, -66, -56, 10, -12, 76, 67, 86]
  Compare 76 and 67
  Swap 76 and 67
  List after swap: [-26, -66, -56, 10, -12, 67, 76, 86]

Pass 3:
  Compare -26 and -66
  Swap -26 and -66
  List after swap: [-66, -26, -56, 10, -12, 67, 76, 86]
  Compare -26 and -56
  Swap -26 and -56
  List after swap: [-66, -56, -26, 10, -12, 67, 76, 86]
  Compare -26 and 10
  No swap needed
  Compare 10 and -12
  Swap 10 and -12
  List after swap: [-66, -56, -26, -12, 10, 67, 76, 86]
  Compare 10 and 67
  No swap needed

Pass 4:
  Compare -66 and -56
  No swap needed
  Compare -56 and -26
  No swap needed
  Compare -26 and -12
  No swap needed
  Compare -12 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -56, -26, -12, 10, 67, 76, 86]
</think>

<response>-66, -56, -26, -12, 10, 67, 76, 86</response>


input: Carry out the bubble sort algorithm on 44, 60 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [44, 60]

Pass 1:
  Compare 44 and 60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [44, 60]
</think>

<response>44, 60</response>


input: Arrange the numbers 23, -51, 71, 53, -67 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [23, -51, 71, 53, -67]

Pass 1:
  Compare 23 and -51
  Swap 23 and -51
  List after swap: [-51, 23, 71, 53, -67]
  Compare 23 and 71
  No swap needed
  Compare 71 and 53
  Swap 71 and 53
  List after swap: [-51, 23, 53, 71, -67]
  Compare 71 and -67
  Swap 71 and -67
  List after swap: [-51, 23, 53, -67, 71]

Pass 2:
  Compare -51 and 23
  No swap needed
  Compare 23 and 53
  No swap needed
  Compare 53 and -67
  Swap 53 and -67
  List after swap: [-51, 23, -67, 53, 71]

Pass 3:
  Compare -51 and 23
  No swap needed
  Compare 23 and -67
  Swap 23 and -67
  List after swap: [-51, -67, 23, 53, 71]

Pass 4:
  Compare -51 and -67
  Swap -51 and -67
  List after swap: [-67, -51, 23, 53, 71]

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

Final sorted list: [-67, -51, 23, 53, 71]
</think>

<response>-67, -51, 23, 53, 71</response>


input: Sort the list -40, 40, -92, -70 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-40, 40, -92, -70]

Pass 1:
  Compare -40 and 40
  No swap needed
  Compare 40 and -92
  Swap 40 and -92
  List after swap: [-40, -92, 40, -70]
  Compare 40 and -70
  Swap 40 and -70
  List after swap: [-40, -92, -70, 40]

Pass 2:
  Compare -40 and -92
  Swap -40 and -92
  List after swap: [-92, -40, -70, 40]
  Compare -40 and -70
  Swap -40 and -70
  List after swap: [-92, -70, -40, 40]

Pass 3:
  Compare -92 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -70, -40, 40]
</think>

<response>-92, -70, -40, 40</response>


input: Sort these integers 37, -68, -44, -23, 61, 9 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [37, -68, -44, -23, 61, 9]

Pass 1:
  Compare 37 and -68
  Swap 37 and -68
  List after swap: [-68, 37, -44, -23, 61, 9]
  Compare 37 and -44
  Swap 37 and -44
  List after swap: [-68, -44, 37, -23, 61, 9]
  Compare 37 and -23
  Swap 37 and -23
  List after swap: [-68, -44, -23, 37, 61, 9]
  Compare 37 and 61
  No swap needed
  Compare 61 and 9
  Swap 61 and 9
  List after swap: [-68, -44, -23, 37, 9, 61]

Pass 2:
  Compare -68 and -44
  No swap needed
  Compare -44 and -23
  No swap needed
  Compare -23 and 37
  No swap needed
  Compare 37 and 9
  Swap 37 and 9
  List after swap: [-68, -44, -23, 9, 37, 61]

Pass 3:
  Compare -68 and -44
  No swap needed
  Compare -44 and -23
  No swap needed
  Compare -23 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -44, -23, 9, 37, 61]
</think>

<response>-68, -44, -23, 9, 37, 61</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -46, -59, -82, -14, -42, -25, 75.

output:
<think>
Initial list: [-46, -59, -82, -14, -42, -25, 75]

Pass 1:
  Compare -46 and -59
  Swap -46 and -59
  List after swap: [-59, -46, -82, -14, -42, -25, 75]
  Compare -46 and -82
  Swap -46 and -82
  List after swap: [-59, -82, -46, -14, -42, -25, 75]
  Compare -46 and -14
  No swap needed
  Compare -14 and -42
  Swap -14 and -42
  List after swap: [-59, -82, -46, -42, -14, -25, 75]
  Compare -14 and -25
  Swap -14 and -25
  List after swap: [-59, -82, -46, -42, -25, -14, 75]
  Compare -14 and 75
  No swap needed

Pass 2:
  Compare -59 and -82
  Swap -59 and -82
  List after swap: [-82, -59, -46, -42, -25, -14, 75]
  Compare -59 and -46
  No swap needed
  Compare -46 and -42
  No swap needed
  Compare -42 and -25
  No swap needed
  Compare -25 and -14
  No swap needed

Pass 3:
  Compare -82 and -59
  No swap needed
  Compare -59 and -46
  No swap needed
  Compare -46 and -42
  No swap needed
  Compare -42 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -59, -46, -42, -25, -14, 75]
</think>

<response>-82, -59, -46, -42, -25, -14, 75</response>


input: Sort these integers 87, 54, 1, 10, -75, -86, 40 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [87, 54, 1, 10, -75, -86, 40]

Pass 1:
  Compare 87 and 54
  Swap 87 and 54
  List after swap: [54, 87, 1, 10, -75, -86, 40]
  Compare 87 and 1
  Swap 87 and 1
  List after swap: [54, 1, 87, 10, -75, -86, 40]
  Compare 87 and 10
  Swap 87 and 10
  List after swap: [54, 1, 10, 87, -75, -86, 40]
  Compare 87 and -75
  Swap 87 and -75
  List after swap: [54, 1, 10, -75, 87, -86, 40]
  Compare 87 and -86
  Swap 87 and -86
  List after swap: [54, 1, 10, -75, -86, 87, 40]
  Compare 87 and 40
  Swap 87 and 40
  List after swap: [54, 1, 10, -75, -86, 40, 87]

Pass 2:
  Compare 54 and 1
  Swap 54 and 1
  List after swap: [1, 54, 10, -75, -86, 40, 87]
  Compare 54 and 10
  Swap 54 and 10
  List after swap: [1, 10, 54, -75, -86, 40, 87]
  Compare 54 and -75
  Swap 54 and -75
  List after swap: [1, 10, -75, 54, -86, 40, 87]
  Compare 54 and -86
  Swap 54 and -86
  List after swap: [1, 10, -75, -86, 54, 40, 87]
  Compare 54 and 40
  Swap 54 and 40
  List after swap: [1, 10, -75, -86, 40, 54, 87]

Pass 3:
  Compare 1 and 10
  No swap needed
  Compare 10 and -75
  Swap 10 and -75
  List after swap: [1, -75, 10, -86, 40, 54, 87]
  Compare 10 and -86
  Swap 10 and -86
  List after swap: [1, -75, -86, 10, 40, 54, 87]
  Compare 10 and 40
  No swap needed

Pass 4:
  Compare 1 and -75
  Swap 1 and -75
  List after swap: [-75, 1, -86, 10, 40, 54, 87]
  Compare 1 and -86
  Swap 1 and -86
  List after swap: [-75, -86, 1, 10, 40, 54, 87]
  Compare 1 and 10
  No swap needed

Pass 5:
  Compare -75 and -86
  Swap -75 and -86
  List after swap: [-86, -75, 1, 10, 40, 54, 87]
  Compare -75 and 1
  No swap needed

Pass 6:
  Compare -86 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -75, 1, 10, 40, 54, 87]
</think>

<response>-86, -75, 1, 10, 40, 54, 87</response>