input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -34, 11, -100, 70, 95, 61.

output:
<think>
Initial list: [-34, 11, -100, 70, 95, 61]

Pass 1:
  Compare -34 and 11
  No swap needed
  Compare 11 and -100
  Swap 11 and -100
  List after swap: [-34, -100, 11, 70, 95, 61]
  Compare 11 and 70
  No swap needed
  Compare 70 and 95
  No swap needed
  Compare 95 and 61
  Swap 95 and 61
  List after swap: [-34, -100, 11, 70, 61, 95]

Pass 2:
  Compare -34 and -100
  Swap -34 and -100
  List after swap: [-100, -34, 11, 70, 61, 95]
  Compare -34 and 11
  No swap needed
  Compare 11 and 70
  No swap needed
  Compare 70 and 61
  Swap 70 and 61
  List after swap: [-100, -34, 11, 61, 70, 95]

Pass 3:
  Compare -100 and -34
  No swap needed
  Compare -34 and 11
  No swap needed
  Compare 11 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -34, 11, 61, 70, 95]
</think>

<response>-100, -34, 11, 61, 70, 95</response>


input: Execute bubble sort to sort 86, 85, -5, -39, 57, -77, -71, -26 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [86, 85, -5, -39, 57, -77, -71, -26]

Pass 1:
  Compare 86 and 85
  Swap 86 and 85
  List after swap: [85, 86, -5, -39, 57, -77, -71, -26]
  Compare 86 and -5
  Swap 86 and -5
  List after swap: [85, -5, 86, -39, 57, -77, -71, -26]
  Compare 86 and -39
  Swap 86 and -39
  List after swap: [85, -5, -39, 86, 57, -77, -71, -26]
  Compare 86 and 57
  Swap 86 and 57
  List after swap: [85, -5, -39, 57, 86, -77, -71, -26]
  Compare 86 and -77
  Swap 86 and -77
  List after swap: [85, -5, -39, 57, -77, 86, -71, -26]
  Compare 86 and -71
  Swap 86 and -71
  List after swap: [85, -5, -39, 57, -77, -71, 86, -26]
  Compare 86 and -26
  Swap 86 and -26
  List after swap: [85, -5, -39, 57, -77, -71, -26, 86]

Pass 2:
  Compare 85 and -5
  Swap 85 and -5
  List after swap: [-5, 85, -39, 57, -77, -71, -26, 86]
  Compare 85 and -39
  Swap 85 and -39
  List after swap: [-5, -39, 85, 57, -77, -71, -26, 86]
  Compare 85 and 57
  Swap 85 and 57
  List after swap: [-5, -39, 57, 85, -77, -71, -26, 86]
  Compare 85 and -77
  Swap 85 and -77
  List after swap: [-5, -39, 57, -77, 85, -71, -26, 86]
  Compare 85 and -71
  Swap 85 and -71
  List after swap: [-5, -39, 57, -77, -71, 85, -26, 86]
  Compare 85 and -26
  Swap 85 and -26
  List after swap: [-5, -39, 57, -77, -71, -26, 85, 86]

Pass 3:
  Compare -5 and -39
  Swap -5 and -39
  List after swap: [-39, -5, 57, -77, -71, -26, 85, 86]
  Compare -5 and 57
  No swap needed
  Compare 57 and -77
  Swap 57 and -77
  List after swap: [-39, -5, -77, 57, -71, -26, 85, 86]
  Compare 57 and -71
  Swap 57 and -71
  List after swap: [-39, -5, -77, -71, 57, -26, 85, 86]
  Compare 57 and -26
  Swap 57 and -26
  List after swap: [-39, -5, -77, -71, -26, 57, 85, 86]

Pass 4:
  Compare -39 and -5
  No swap needed
  Compare -5 and -77
  Swap -5 and -77
  List after swap: [-39, -77, -5, -71, -26, 57, 85, 86]
  Compare -5 and -71
  Swap -5 and -71
  List after swap: [-39, -77, -71, -5, -26, 57, 85, 86]
  Compare -5 and -26
  Swap -5 and -26
  List after swap: [-39, -77, -71, -26, -5, 57, 85, 86]

Pass 5:
  Compare -39 and -77
  Swap -39 and -77
  List after swap: [-77, -39, -71, -26, -5, 57, 85, 86]
  Compare -39 and -71
  Swap -39 and -71
  List after swap: [-77, -71, -39, -26, -5, 57, 85, 86]
  Compare -39 and -26
  No swap needed

Pass 6:
  Compare -77 and -71
  No swap needed
  Compare -71 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -71, -39, -26, -5, 57, 85, 86]
</think>

<response>-77, -71, -39, -26, -5, 57, 85, 86</response>


input: Carry out the bubble sort algorithm on -29, 98, 18, 21, -63, 49, -16, 79 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-29, 98, 18, 21, -63, 49, -16, 79]

Pass 1:
  Compare -29 and 98
  No swap needed
  Compare 98 and 18
  Swap 98 and 18
  List after swap: [-29, 18, 98, 21, -63, 49, -16, 79]
  Compare 98 and 21
  Swap 98 and 21
  List after swap: [-29, 18, 21, 98, -63, 49, -16, 79]
  Compare 98 and -63
  Swap 98 and -63
  List after swap: [-29, 18, 21, -63, 98, 49, -16, 79]
  Compare 98 and 49
  Swap 98 and 49
  List after swap: [-29, 18, 21, -63, 49, 98, -16, 79]
  Compare 98 and -16
  Swap 98 and -16
  List after swap: [-29, 18, 21, -63, 49, -16, 98, 79]
  Compare 98 and 79
  Swap 98 and 79
  List after swap: [-29, 18, 21, -63, 49, -16, 79, 98]

Pass 2:
  Compare -29 and 18
  No swap needed
  Compare 18 and 21
  No swap needed
  Compare 21 and -63
  Swap 21 and -63
  List after swap: [-29, 18, -63, 21, 49, -16, 79, 98]
  Compare 21 and 49
  No swap needed
  Compare 49 and -16
  Swap 49 and -16
  List after swap: [-29, 18, -63, 21, -16, 49, 79, 98]
  Compare 49 and 79
  No swap needed

Pass 3:
  Compare -29 and 18
  No swap needed
  Compare 18 and -63
  Swap 18 and -63
  List after swap: [-29, -63, 18, 21, -16, 49, 79, 98]
  Compare 18 and 21
  No swap needed
  Compare 21 and -16
  Swap 21 and -16
  List after swap: [-29, -63, 18, -16, 21, 49, 79, 98]
  Compare 21 and 49
  No swap needed

Pass 4:
  Compare -29 and -63
  Swap -29 and -63
  List after swap: [-63, -29, 18, -16, 21, 49, 79, 98]
  Compare -29 and 18
  No swap needed
  Compare 18 and -16
  Swap 18 and -16
  List after swap: [-63, -29, -16, 18, 21, 49, 79, 98]
  Compare 18 and 21
  No swap needed

Pass 5:
  Compare -63 and -29
  No swap needed
  Compare -29 and -16
  No swap needed
  Compare -16 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -29, -16, 18, 21, 49, 79, 98]
</think>

<response>-63, -29, -16, 18, 21, 49, 79, 98</response>


input: Execute bubble sort to sort 75, 62, 78, 68, 19, -50, 18, -61, -31, 97 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [75, 62, 78, 68, 19, -50, 18, -61, -31, 97]

Pass 1:
  Compare 75 and 62
  Swap 75 and 62
  List after swap: [62, 75, 78, 68, 19, -50, 18, -61, -31, 97]
  Compare 75 and 78
  No swap needed
  Compare 78 and 68
  Swap 78 and 68
  List after swap: [62, 75, 68, 78, 19, -50, 18, -61, -31, 97]
  Compare 78 and 19
  Swap 78 and 19
  List after swap: [62, 75, 68, 19, 78, -50, 18, -61, -31, 97]
  Compare 78 and -50
  Swap 78 and -50
  List after swap: [62, 75, 68, 19, -50, 78, 18, -61, -31, 97]
  Compare 78 and 18
  Swap 78 and 18
  List after swap: [62, 75, 68, 19, -50, 18, 78, -61, -31, 97]
  Compare 78 and -61
  Swap 78 and -61
  List after swap: [62, 75, 68, 19, -50, 18, -61, 78, -31, 97]
  Compare 78 and -31
  Swap 78 and -31
  List after swap: [62, 75, 68, 19, -50, 18, -61, -31, 78, 97]
  Compare 78 and 97
  No swap needed

Pass 2:
  Compare 62 and 75
  No swap needed
  Compare 75 and 68
  Swap 75 and 68
  List after swap: [62, 68, 75, 19, -50, 18, -61, -31, 78, 97]
  Compare 75 and 19
  Swap 75 and 19
  List after swap: [62, 68, 19, 75, -50, 18, -61, -31, 78, 97]
  Compare 75 and -50
  Swap 75 and -50
  List after swap: [62, 68, 19, -50, 75, 18, -61, -31, 78, 97]
  Compare 75 and 18
  Swap 75 and 18
  List after swap: [62, 68, 19, -50, 18, 75, -61, -31, 78, 97]
  Compare 75 and -61
  Swap 75 and -61
  List after swap: [62, 68, 19, -50, 18, -61, 75, -31, 78, 97]
  Compare 75 and -31
  Swap 75 and -31
  List after swap: [62, 68, 19, -50, 18, -61, -31, 75, 78, 97]
  Compare 75 and 78
  No swap needed

Pass 3:
  Compare 62 and 68
  No swap needed
  Compare 68 and 19
  Swap 68 and 19
  List after swap: [62, 19, 68, -50, 18, -61, -31, 75, 78, 97]
  Compare 68 and -50
  Swap 68 and -50
  List after swap: [62, 19, -50, 68, 18, -61, -31, 75, 78, 97]
  Compare 68 and 18
  Swap 68 and 18
  List after swap: [62, 19, -50, 18, 68, -61, -31, 75, 78, 97]
  Compare 68 and -61
  Swap 68 and -61
  List after swap: [62, 19, -50, 18, -61, 68, -31, 75, 78, 97]
  Compare 68 and -31
  Swap 68 and -31
  List after swap: [62, 19, -50, 18, -61, -31, 68, 75, 78, 97]
  Compare 68 and 75
  No swap needed

Pass 4:
  Compare 62 and 19
  Swap 62 and 19
  List after swap: [19, 62, -50, 18, -61, -31, 68, 75, 78, 97]
  Compare 62 and -50
  Swap 62 and -50
  List after swap: [19, -50, 62, 18, -61, -31, 68, 75, 78, 97]
  Compare 62 and 18
  Swap 62 and 18
  List after swap: [19, -50, 18, 62, -61, -31, 68, 75, 78, 97]
  Compare 62 and -61
  Swap 62 and -61
  List after swap: [19, -50, 18, -61, 62, -31, 68, 75, 78, 97]
  Compare 62 and -31
  Swap 62 and -31
  List after swap: [19, -50, 18, -61, -31, 62, 68, 75, 78, 97]
  Compare 62 and 68
  No swap needed

Pass 5:
  Compare 19 and -50
  Swap 19 and -50
  List after swap: [-50, 19, 18, -61, -31, 62, 68, 75, 78, 97]
  Compare 19 and 18
  Swap 19 and 18
  List after swap: [-50, 18, 19, -61, -31, 62, 68, 75, 78, 97]
  Compare 19 and -61
  Swap 19 and -61
  List after swap: [-50, 18, -61, 19, -31, 62, 68, 75, 78, 97]
  Compare 19 and -31
  Swap 19 and -31
  List after swap: [-50, 18, -61, -31, 19, 62, 68, 75, 78, 97]
  Compare 19 and 62
  No swap needed

Pass 6:
  Compare -50 and 18
  No swap needed
  Compare 18 and -61
  Swap 18 and -61
  List after swap: [-50, -61, 18, -31, 19, 62, 68, 75, 78, 97]
  Compare 18 and -31
  Swap 18 and -31
  List after swap: [-50, -61, -31, 18, 19, 62, 68, 75, 78, 97]
  Compare 18 and 19
  No swap needed

Pass 7:
  Compare -50 and -61
  Swap -50 and -61
  List after swap: [-61, -50, -31, 18, 19, 62, 68, 75, 78, 97]
  Compare -50 and -31
  No swap needed
  Compare -31 and 18
  No swap needed

Pass 8:
  Compare -61 and -50
  No swap needed
  Compare -50 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -50, -31, 18, 19, 62, 68, 75, 78, 97]
</think>

<response>-61, -50, -31, 18, 19, 62, 68, 75, 78, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 94, -23, -1.

output:
<think>
Initial list: [94, -23, -1]

Pass 1:
  Compare 94 and -23
  Swap 94 and -23
  List after swap: [-23, 94, -1]
  Compare 94 and -1
  Swap 94 and -1
  List after swap: [-23, -1, 94]

Pass 2:
  Compare -23 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, -1, 94]
</think>

<response>-23, -1, 94</response>


input: Perform a bubble sort on the integers 35, -30, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [35, -30]

Pass 1:
  Compare 35 and -30
  Swap 35 and -30
  List after swap: [-30, 35]

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

Final sorted list: [-30, 35]
</think>

<response>-30, 35</response>


input: Sort the list 98, -66, -63 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [98, -66, -63]

Pass 1:
  Compare 98 and -66
  Swap 98 and -66
  List after swap: [-66, 98, -63]
  Compare 98 and -63
  Swap 98 and -63
  List after swap: [-66, -63, 98]

Pass 2:
  Compare -66 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -63, 98]
</think>

<response>-66, -63, 98</response>


input: Execute bubble sort to sort 94, -13, 39, -7 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [94, -13, 39, -7]

Pass 1:
  Compare 94 and -13
  Swap 94 and -13
  List after swap: [-13, 94, 39, -7]
  Compare 94 and 39
  Swap 94 and 39
  List after swap: [-13, 39, 94, -7]
  Compare 94 and -7
  Swap 94 and -7
  List after swap: [-13, 39, -7, 94]

Pass 2:
  Compare -13 and 39
  No swap needed
  Compare 39 and -7
  Swap 39 and -7
  List after swap: [-13, -7, 39, 94]

Pass 3:
  Compare -13 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-13, -7, 39, 94]
</think>

<response>-13, -7, 39, 94</response>


input: Sort these integers 99, -6, 25, 45, -19, -58, -95, 90, -63, -64 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [99, -6, 25, 45, -19, -58, -95, 90, -63, -64]

Pass 1:
  Compare 99 and -6
  Swap 99 and -6
  List after swap: [-6, 99, 25, 45, -19, -58, -95, 90, -63, -64]
  Compare 99 and 25
  Swap 99 and 25
  List after swap: [-6, 25, 99, 45, -19, -58, -95, 90, -63, -64]
  Compare 99 and 45
  Swap 99 and 45
  List after swap: [-6, 25, 45, 99, -19, -58, -95, 90, -63, -64]
  Compare 99 and -19
  Swap 99 and -19
  List after swap: [-6, 25, 45, -19, 99, -58, -95, 90, -63, -64]
  Compare 99 and -58
  Swap 99 and -58
  List after swap: [-6, 25, 45, -19, -58, 99, -95, 90, -63, -64]
  Compare 99 and -95
  Swap 99 and -95
  List after swap: [-6, 25, 45, -19, -58, -95, 99, 90, -63, -64]
  Compare 99 and 90
  Swap 99 and 90
  List after swap: [-6, 25, 45, -19, -58, -95, 90, 99, -63, -64]
  Compare 99 and -63
  Swap 99 and -63
  List after swap: [-6, 25, 45, -19, -58, -95, 90, -63, 99, -64]
  Compare 99 and -64
  Swap 99 and -64
  List after swap: [-6, 25, 45, -19, -58, -95, 90, -63, -64, 99]

Pass 2:
  Compare -6 and 25
  No swap needed
  Compare 25 and 45
  No swap needed
  Compare 45 and -19
  Swap 45 and -19
  List after swap: [-6, 25, -19, 45, -58, -95, 90, -63, -64, 99]
  Compare 45 and -58
  Swap 45 and -58
  List after swap: [-6, 25, -19, -58, 45, -95, 90, -63, -64, 99]
  Compare 45 and -95
  Swap 45 and -95
  List after swap: [-6, 25, -19, -58, -95, 45, 90, -63, -64, 99]
  Compare 45 and 90
  No swap needed
  Compare 90 and -63
  Swap 90 and -63
  List after swap: [-6, 25, -19, -58, -95, 45, -63, 90, -64, 99]
  Compare 90 and -64
  Swap 90 and -64
  List after swap: [-6, 25, -19, -58, -95, 45, -63, -64, 90, 99]

Pass 3:
  Compare -6 and 25
  No swap needed
  Compare 25 and -19
  Swap 25 and -19
  List after swap: [-6, -19, 25, -58, -95, 45, -63, -64, 90, 99]
  Compare 25 and -58
  Swap 25 and -58
  List after swap: [-6, -19, -58, 25, -95, 45, -63, -64, 90, 99]
  Compare 25 and -95
  Swap 25 and -95
  List after swap: [-6, -19, -58, -95, 25, 45, -63, -64, 90, 99]
  Compare 25 and 45
  No swap needed
  Compare 45 and -63
  Swap 45 and -63
  List after swap: [-6, -19, -58, -95, 25, -63, 45, -64, 90, 99]
  Compare 45 and -64
  Swap 45 and -64
  List after swap: [-6, -19, -58, -95, 25, -63, -64, 45, 90, 99]

Pass 4:
  Compare -6 and -19
  Swap -6 and -19
  List after swap: [-19, -6, -58, -95, 25, -63, -64, 45, 90, 99]
  Compare -6 and -58
  Swap -6 and -58
  List after swap: [-19, -58, -6, -95, 25, -63, -64, 45, 90, 99]
  Compare -6 and -95
  Swap -6 and -95
  List after swap: [-19, -58, -95, -6, 25, -63, -64, 45, 90, 99]
  Compare -6 and 25
  No swap needed
  Compare 25 and -63
  Swap 25 and -63
  List after swap: [-19, -58, -95, -6, -63, 25, -64, 45, 90, 99]
  Compare 25 and -64
  Swap 25 and -64
  List after swap: [-19, -58, -95, -6, -63, -64, 25, 45, 90, 99]

Pass 5:
  Compare -19 and -58
  Swap -19 and -58
  List after swap: [-58, -19, -95, -6, -63, -64, 25, 45, 90, 99]
  Compare -19 and -95
  Swap -19 and -95
  List after swap: [-58, -95, -19, -6, -63, -64, 25, 45, 90, 99]
  Compare -19 and -6
  No swap needed
  Compare -6 and -63
  Swap -6 and -63
  List after swap: [-58, -95, -19, -63, -6, -64, 25, 45, 90, 99]
  Compare -6 and -64
  Swap -6 and -64
  List after swap: [-58, -95, -19, -63, -64, -6, 25, 45, 90, 99]

Pass 6:
  Compare -58 and -95
  Swap -58 and -95
  List after swap: [-95, -58, -19, -63, -64, -6, 25, 45, 90, 99]
  Compare -58 and -19
  No swap needed
  Compare -19 and -63
  Swap -19 and -63
  List after swap: [-95, -58, -63, -19, -64, -6, 25, 45, 90, 99]
  Compare -19 and -64
  Swap -19 and -64
  List after swap: [-95, -58, -63, -64, -19, -6, 25, 45, 90, 99]

Pass 7:
  Compare -95 and -58
  No swap needed
  Compare -58 and -63
  Swap -58 and -63
  List after swap: [-95, -63, -58, -64, -19, -6, 25, 45, 90, 99]
  Compare -58 and -64
  Swap -58 and -64
  List after swap: [-95, -63, -64, -58, -19, -6, 25, 45, 90, 99]

Pass 8:
  Compare -95 and -63
  No swap needed
  Compare -63 and -64
  Swap -63 and -64
  List after swap: [-95, -64, -63, -58, -19, -6, 25, 45, 90, 99]

Pass 9:
  Compare -95 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -64, -63, -58, -19, -6, 25, 45, 90, 99]
</think>

<response>-95, -64, -63, -58, -19, -6, 25, 45, 90, 99</response>


input: Using the bubble sort method, sort 97, 20, 44, 60, -5, 45, -87 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [97, 20, 44, 60, -5, 45, -87]

Pass 1:
  Compare 97 and 20
  Swap 97 and 20
  List after swap: [20, 97, 44, 60, -5, 45, -87]
  Compare 97 and 44
  Swap 97 and 44
  List after swap: [20, 44, 97, 60, -5, 45, -87]
  Compare 97 and 60
  Swap 97 and 60
  List after swap: [20, 44, 60, 97, -5, 45, -87]
  Compare 97 and -5
  Swap 97 and -5
  List after swap: [20, 44, 60, -5, 97, 45, -87]
  Compare 97 and 45
  Swap 97 and 45
  List after swap: [20, 44, 60, -5, 45, 97, -87]
  Compare 97 and -87
  Swap 97 and -87
  List after swap: [20, 44, 60, -5, 45, -87, 97]

Pass 2:
  Compare 20 and 44
  No swap needed
  Compare 44 and 60
  No swap needed
  Compare 60 and -5
  Swap 60 and -5
  List after swap: [20, 44, -5, 60, 45, -87, 97]
  Compare 60 and 45
  Swap 60 and 45
  List after swap: [20, 44, -5, 45, 60, -87, 97]
  Compare 60 and -87
  Swap 60 and -87
  List after swap: [20, 44, -5, 45, -87, 60, 97]

Pass 3:
  Compare 20 and 44
  No swap needed
  Compare 44 and -5
  Swap 44 and -5
  List after swap: [20, -5, 44, 45, -87, 60, 97]
  Compare 44 and 45
  No swap needed
  Compare 45 and -87
  Swap 45 and -87
  List after swap: [20, -5, 44, -87, 45, 60, 97]

Pass 4:
  Compare 20 and -5
  Swap 20 and -5
  List after swap: [-5, 20, 44, -87, 45, 60, 97]
  Compare 20 and 44
  No swap needed
  Compare 44 and -87
  Swap 44 and -87
  List after swap: [-5, 20, -87, 44, 45, 60, 97]

Pass 5:
  Compare -5 and 20
  No swap needed
  Compare 20 and -87
  Swap 20 and -87
  List after swap: [-5, -87, 20, 44, 45, 60, 97]

Pass 6:
  Compare -5 and -87
  Swap -5 and -87
  List after swap: [-87, -5, 20, 44, 45, 60, 97]

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

Final sorted list: [-87, -5, 20, 44, 45, 60, 97]
</think>

<response>-87, -5, 20, 44, 45, 60, 97</response>


input: Perform a bubble sort on the integers 4, 41, 55, -35, -13, 36, -87, 23, -43, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [4, 41, 55, -35, -13, 36, -87, 23, -43]

Pass 1:
  Compare 4 and 41
  No swap needed
  Compare 41 and 55
  No swap needed
  Compare 55 and -35
  Swap 55 and -35
  List after swap: [4, 41, -35, 55, -13, 36, -87, 23, -43]
  Compare 55 and -13
  Swap 55 and -13
  List after swap: [4, 41, -35, -13, 55, 36, -87, 23, -43]
  Compare 55 and 36
  Swap 55 and 36
  List after swap: [4, 41, -35, -13, 36, 55, -87, 23, -43]
  Compare 55 and -87
  Swap 55 and -87
  List after swap: [4, 41, -35, -13, 36, -87, 55, 23, -43]
  Compare 55 and 23
  Swap 55 and 23
  List after swap: [4, 41, -35, -13, 36, -87, 23, 55, -43]
  Compare 55 and -43
  Swap 55 and -43
  List after swap: [4, 41, -35, -13, 36, -87, 23, -43, 55]

Pass 2:
  Compare 4 and 41
  No swap needed
  Compare 41 and -35
  Swap 41 and -35
  List after swap: [4, -35, 41, -13, 36, -87, 23, -43, 55]
  Compare 41 and -13
  Swap 41 and -13
  List after swap: [4, -35, -13, 41, 36, -87, 23, -43, 55]
  Compare 41 and 36
  Swap 41 and 36
  List after swap: [4, -35, -13, 36, 41, -87, 23, -43, 55]
  Compare 41 and -87
  Swap 41 and -87
  List after swap: [4, -35, -13, 36, -87, 41, 23, -43, 55]
  Compare 41 and 23
  Swap 41 and 23
  List after swap: [4, -35, -13, 36, -87, 23, 41, -43, 55]
  Compare 41 and -43
  Swap 41 and -43
  List after swap: [4, -35, -13, 36, -87, 23, -43, 41, 55]

Pass 3:
  Compare 4 and -35
  Swap 4 and -35
  List after swap: [-35, 4, -13, 36, -87, 23, -43, 41, 55]
  Compare 4 and -13
  Swap 4 and -13
  List after swap: [-35, -13, 4, 36, -87, 23, -43, 41, 55]
  Compare 4 and 36
  No swap needed
  Compare 36 and -87
  Swap 36 and -87
  List after swap: [-35, -13, 4, -87, 36, 23, -43, 41, 55]
  Compare 36 and 23
  Swap 36 and 23
  List after swap: [-35, -13, 4, -87, 23, 36, -43, 41, 55]
  Compare 36 and -43
  Swap 36 and -43
  List after swap: [-35, -13, 4, -87, 23, -43, 36, 41, 55]

Pass 4:
  Compare -35 and -13
  No swap needed
  Compare -13 and 4
  No swap needed
  Compare 4 and -87
  Swap 4 and -87
  List after swap: [-35, -13, -87, 4, 23, -43, 36, 41, 55]
  Compare 4 and 23
  No swap needed
  Compare 23 and -43
  Swap 23 and -43
  List after swap: [-35, -13, -87, 4, -43, 23, 36, 41, 55]

Pass 5:
  Compare -35 and -13
  No swap needed
  Compare -13 and -87
  Swap -13 and -87
  List after swap: [-35, -87, -13, 4, -43, 23, 36, 41, 55]
  Compare -13 and 4
  No swap needed
  Compare 4 and -43
  Swap 4 and -43
  List after swap: [-35, -87, -13, -43, 4, 23, 36, 41, 55]

Pass 6:
  Compare -35 and -87
  Swap -35 and -87
  List after swap: [-87, -35, -13, -43, 4, 23, 36, 41, 55]
  Compare -35 and -13
  No swap needed
  Compare -13 and -43
  Swap -13 and -43
  List after swap: [-87, -35, -43, -13, 4, 23, 36, 41, 55]

Pass 7:
  Compare -87 and -35
  No swap needed
  Compare -35 and -43
  Swap -35 and -43
  List after swap: [-87, -43, -35, -13, 4, 23, 36, 41, 55]

Pass 8:
  Compare -87 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -43, -35, -13, 4, 23, 36, 41, 55]
</think>

<response>-87, -43, -35, -13, 4, 23, 36, 41, 55</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -93, -44.

output:
<think>
Initial list: [-93, -44]

Pass 1:
  Compare -93 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -44]
</think>

<response>-93, -44</response>


input: Sort these integers -98, -30, -99, 0, 69, 30 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-98, -30, -99, 0, 69, 30]

Pass 1:
  Compare -98 and -30
  No swap needed
  Compare -30 and -99
  Swap -30 and -99
  List after swap: [-98, -99, -30, 0, 69, 30]
  Compare -30 and 0
  No swap needed
  Compare 0 and 69
  No swap needed
  Compare 69 and 30
  Swap 69 and 30
  List after swap: [-98, -99, -30, 0, 30, 69]

Pass 2:
  Compare -98 and -99
  Swap -98 and -99
  List after swap: [-99, -98, -30, 0, 30, 69]
  Compare -98 and -30
  No swap needed
  Compare -30 and 0
  No swap needed
  Compare 0 and 30
  No swap needed

Pass 3:
  Compare -99 and -98
  No swap needed
  Compare -98 and -30
  No swap needed
  Compare -30 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -98, -30, 0, 30, 69]
</think>

<response>-99, -98, -30, 0, 30, 69</response>


input: Sort the list 59, -50, -90 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [59, -50, -90]

Pass 1:
  Compare 59 and -50
  Swap 59 and -50
  List after swap: [-50, 59, -90]
  Compare 59 and -90
  Swap 59 and -90
  List after swap: [-50, -90, 59]

Pass 2:
  Compare -50 and -90
  Swap -50 and -90
  List after swap: [-90, -50, 59]

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

Final sorted list: [-90, -50, 59]
</think>

<response>-90, -50, 59</response>


input: Arrange the numbers -92, 56, 89, -63, -99, -46, 63, -8, 6, -15 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-92, 56, 89, -63, -99, -46, 63, -8, 6, -15]

Pass 1:
  Compare -92 and 56
  No swap needed
  Compare 56 and 89
  No swap needed
  Compare 89 and -63
  Swap 89 and -63
  List after swap: [-92, 56, -63, 89, -99, -46, 63, -8, 6, -15]
  Compare 89 and -99
  Swap 89 and -99
  List after swap: [-92, 56, -63, -99, 89, -46, 63, -8, 6, -15]
  Compare 89 and -46
  Swap 89 and -46
  List after swap: [-92, 56, -63, -99, -46, 89, 63, -8, 6, -15]
  Compare 89 and 63
  Swap 89 and 63
  List after swap: [-92, 56, -63, -99, -46, 63, 89, -8, 6, -15]
  Compare 89 and -8
  Swap 89 and -8
  List after swap: [-92, 56, -63, -99, -46, 63, -8, 89, 6, -15]
  Compare 89 and 6
  Swap 89 and 6
  List after swap: [-92, 56, -63, -99, -46, 63, -8, 6, 89, -15]
  Compare 89 and -15
  Swap 89 and -15
  List after swap: [-92, 56, -63, -99, -46, 63, -8, 6, -15, 89]

Pass 2:
  Compare -92 and 56
  No swap needed
  Compare 56 and -63
  Swap 56 and -63
  List after swap: [-92, -63, 56, -99, -46, 63, -8, 6, -15, 89]
  Compare 56 and -99
  Swap 56 and -99
  List after swap: [-92, -63, -99, 56, -46, 63, -8, 6, -15, 89]
  Compare 56 and -46
  Swap 56 and -46
  List after swap: [-92, -63, -99, -46, 56, 63, -8, 6, -15, 89]
  Compare 56 and 63
  No swap needed
  Compare 63 and -8
  Swap 63 and -8
  List after swap: [-92, -63, -99, -46, 56, -8, 63, 6, -15, 89]
  Compare 63 and 6
  Swap 63 and 6
  List after swap: [-92, -63, -99, -46, 56, -8, 6, 63, -15, 89]
  Compare 63 and -15
  Swap 63 and -15
  List after swap: [-92, -63, -99, -46, 56, -8, 6, -15, 63, 89]

Pass 3:
  Compare -92 and -63
  No swap needed
  Compare -63 and -99
  Swap -63 and -99
  List after swap: [-92, -99, -63, -46, 56, -8, 6, -15, 63, 89]
  Compare -63 and -46
  No swap needed
  Compare -46 and 56
  No swap needed
  Compare 56 and -8
  Swap 56 and -8
  List after swap: [-92, -99, -63, -46, -8, 56, 6, -15, 63, 89]
  Compare 56 and 6
  Swap 56 and 6
  List after swap: [-92, -99, -63, -46, -8, 6, 56, -15, 63, 89]
  Compare 56 and -15
  Swap 56 and -15
  List after swap: [-92, -99, -63, -46, -8, 6, -15, 56, 63, 89]

Pass 4:
  Compare -92 and -99
  Swap -92 and -99
  List after swap: [-99, -92, -63, -46, -8, 6, -15, 56, 63, 89]
  Compare -92 and -63
  No swap needed
  Compare -63 and -46
  No swap needed
  Compare -46 and -8
  No swap needed
  Compare -8 and 6
  No swap needed
  Compare 6 and -15
  Swap 6 and -15
  List after swap: [-99, -92, -63, -46, -8, -15, 6, 56, 63, 89]

Pass 5:
  Compare -99 and -92
  No swap needed
  Compare -92 and -63
  No swap needed
  Compare -63 and -46
  No swap needed
  Compare -46 and -8
  No swap needed
  Compare -8 and -15
  Swap -8 and -15
  List after swap: [-99, -92, -63, -46, -15, -8, 6, 56, 63, 89]

Pass 6:
  Compare -99 and -92
  No swap needed
  Compare -92 and -63
  No swap needed
  Compare -63 and -46
  No swap needed
  Compare -46 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -92, -63, -46, -15, -8, 6, 56, 63, 89]
</think>

<response>-99, -92, -63, -46, -15, -8, 6, 56, 63, 89</response>


input: Implement bubble sort on -49, 53, 58, -50 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-49, 53, 58, -50]

Pass 1:
  Compare -49 and 53
  No swap needed
  Compare 53 and 58
  No swap needed
  Compare 58 and -50
  Swap 58 and -50
  List after swap: [-49, 53, -50, 58]

Pass 2:
  Compare -49 and 53
  No swap needed
  Compare 53 and -50
  Swap 53 and -50
  List after swap: [-49, -50, 53, 58]

Pass 3:
  Compare -49 and -50
  Swap -49 and -50
  List after swap: [-50, -49, 53, 58]

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

Final sorted list: [-50, -49, 53, 58]
</think>

<response>-50, -49, 53, 58</response>


input: Arrange the numbers -100, -38, -7, -63, -52, -41, 6, 69, -66, 74 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-100, -38, -7, -63, -52, -41, 6, 69, -66, 74]

Pass 1:
  Compare -100 and -38
  No swap needed
  Compare -38 and -7
  No swap needed
  Compare -7 and -63
  Swap -7 and -63
  List after swap: [-100, -38, -63, -7, -52, -41, 6, 69, -66, 74]
  Compare -7 and -52
  Swap -7 and -52
  List after swap: [-100, -38, -63, -52, -7, -41, 6, 69, -66, 74]
  Compare -7 and -41
  Swap -7 and -41
  List after swap: [-100, -38, -63, -52, -41, -7, 6, 69, -66, 74]
  Compare -7 and 6
  No swap needed
  Compare 6 and 69
  No swap needed
  Compare 69 and -66
  Swap 69 and -66
  List after swap: [-100, -38, -63, -52, -41, -7, 6, -66, 69, 74]
  Compare 69 and 74
  No swap needed

Pass 2:
  Compare -100 and -38
  No swap needed
  Compare -38 and -63
  Swap -38 and -63
  List after swap: [-100, -63, -38, -52, -41, -7, 6, -66, 69, 74]
  Compare -38 and -52
  Swap -38 and -52
  List after swap: [-100, -63, -52, -38, -41, -7, 6, -66, 69, 74]
  Compare -38 and -41
  Swap -38 and -41
  List after swap: [-100, -63, -52, -41, -38, -7, 6, -66, 69, 74]
  Compare -38 and -7
  No swap needed
  Compare -7 and 6
  No swap needed
  Compare 6 and -66
  Swap 6 and -66
  List after swap: [-100, -63, -52, -41, -38, -7, -66, 6, 69, 74]
  Compare 6 and 69
  No swap needed

Pass 3:
  Compare -100 and -63
  No swap needed
  Compare -63 and -52
  No swap needed
  Compare -52 and -41
  No swap needed
  Compare -41 and -38
  No swap needed
  Compare -38 and -7
  No swap needed
  Compare -7 and -66
  Swap -7 and -66
  List after swap: [-100, -63, -52, -41, -38, -66, -7, 6, 69, 74]
  Compare -7 and 6
  No swap needed

Pass 4:
  Compare -100 and -63
  No swap needed
  Compare -63 and -52
  No swap needed
  Compare -52 and -41
  No swap needed
  Compare -41 and -38
  No swap needed
  Compare -38 and -66
  Swap -38 and -66
  List after swap: [-100, -63, -52, -41, -66, -38, -7, 6, 69, 74]
  Compare -38 and -7
  No swap needed

Pass 5:
  Compare -100 and -63
  No swap needed
  Compare -63 and -52
  No swap needed
  Compare -52 and -41
  No swap needed
  Compare -41 and -66
  Swap -41 and -66
  List after swap: [-100, -63, -52, -66, -41, -38, -7, 6, 69, 74]
  Compare -41 and -38
  No swap needed

Pass 6:
  Compare -100 and -63
  No swap needed
  Compare -63 and -52
  No swap needed
  Compare -52 and -66
  Swap -52 and -66
  List after swap: [-100, -63, -66, -52, -41, -38, -7, 6, 69, 74]
  Compare -52 and -41
  No swap needed

Pass 7:
  Compare -100 and -63
  No swap needed
  Compare -63 and -66
  Swap -63 and -66
  List after swap: [-100, -66, -63, -52, -41, -38, -7, 6, 69, 74]
  Compare -63 and -52
  No swap needed

Pass 8:
  Compare -100 and -66
  No swap needed
  Compare -66 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -66, -63, -52, -41, -38, -7, 6, 69, 74]
</think>

<response>-100, -66, -63, -52, -41, -38, -7, 6, 69, 74</response>


input: Use the bubble sort technique to reorder 15, 32, 41 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [15, 32, 41]

Pass 1:
  Compare 15 and 32
  No swap needed
  Compare 32 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [15, 32, 41]
</think>

<response>15, 32, 41</response>


input: Sort these integers -25, -84, 6, 66, 24, 83, -80, -2, 89, -76 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-25, -84, 6, 66, 24, 83, -80, -2, 89, -76]

Pass 1:
  Compare -25 and -84
  Swap -25 and -84
  List after swap: [-84, -25, 6, 66, 24, 83, -80, -2, 89, -76]
  Compare -25 and 6
  No swap needed
  Compare 6 and 66
  No swap needed
  Compare 66 and 24
  Swap 66 and 24
  List after swap: [-84, -25, 6, 24, 66, 83, -80, -2, 89, -76]
  Compare 66 and 83
  No swap needed
  Compare 83 and -80
  Swap 83 and -80
  List after swap: [-84, -25, 6, 24, 66, -80, 83, -2, 89, -76]
  Compare 83 and -2
  Swap 83 and -2
  List after swap: [-84, -25, 6, 24, 66, -80, -2, 83, 89, -76]
  Compare 83 and 89
  No swap needed
  Compare 89 and -76
  Swap 89 and -76
  List after swap: [-84, -25, 6, 24, 66, -80, -2, 83, -76, 89]

Pass 2:
  Compare -84 and -25
  No swap needed
  Compare -25 and 6
  No swap needed
  Compare 6 and 24
  No swap needed
  Compare 24 and 66
  No swap needed
  Compare 66 and -80
  Swap 66 and -80
  List after swap: [-84, -25, 6, 24, -80, 66, -2, 83, -76, 89]
  Compare 66 and -2
  Swap 66 and -2
  List after swap: [-84, -25, 6, 24, -80, -2, 66, 83, -76, 89]
  Compare 66 and 83
  No swap needed
  Compare 83 and -76
  Swap 83 and -76
  List after swap: [-84, -25, 6, 24, -80, -2, 66, -76, 83, 89]

Pass 3:
  Compare -84 and -25
  No swap needed
  Compare -25 and 6
  No swap needed
  Compare 6 and 24
  No swap needed
  Compare 24 and -80
  Swap 24 and -80
  List after swap: [-84, -25, 6, -80, 24, -2, 66, -76, 83, 89]
  Compare 24 and -2
  Swap 24 and -2
  List after swap: [-84, -25, 6, -80, -2, 24, 66, -76, 83, 89]
  Compare 24 and 66
  No swap needed
  Compare 66 and -76
  Swap 66 and -76
  List after swap: [-84, -25, 6, -80, -2, 24, -76, 66, 83, 89]

Pass 4:
  Compare -84 and -25
  No swap needed
  Compare -25 and 6
  No swap needed
  Compare 6 and -80
  Swap 6 and -80
  List after swap: [-84, -25, -80, 6, -2, 24, -76, 66, 83, 89]
  Compare 6 and -2
  Swap 6 and -2
  List after swap: [-84, -25, -80, -2, 6, 24, -76, 66, 83, 89]
  Compare 6 and 24
  No swap needed
  Compare 24 and -76
  Swap 24 and -76
  List after swap: [-84, -25, -80, -2, 6, -76, 24, 66, 83, 89]

Pass 5:
  Compare -84 and -25
  No swap needed
  Compare -25 and -80
  Swap -25 and -80
  List after swap: [-84, -80, -25, -2, 6, -76, 24, 66, 83, 89]
  Compare -25 and -2
  No swap needed
  Compare -2 and 6
  No swap needed
  Compare 6 and -76
  Swap 6 and -76
  List after swap: [-84, -80, -25, -2, -76, 6, 24, 66, 83, 89]

Pass 6:
  Compare -84 and -80
  No swap needed
  Compare -80 and -25
  No swap needed
  Compare -25 and -2
  No swap needed
  Compare -2 and -76
  Swap -2 and -76
  List after swap: [-84, -80, -25, -76, -2, 6, 24, 66, 83, 89]

Pass 7:
  Compare -84 and -80
  No swap needed
  Compare -80 and -25
  No swap needed
  Compare -25 and -76
  Swap -25 and -76
  List after swap: [-84, -80, -76, -25, -2, 6, 24, 66, 83, 89]

Pass 8:
  Compare -84 and -80
  No swap needed
  Compare -80 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -80, -76, -25, -2, 6, 24, 66, 83, 89]
</think>

<response>-84, -80, -76, -25, -2, 6, 24, 66, 83, 89</response>


input: Perform a bubble sort on the integers -79, -66, -46, 92, 10, -30, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-79, -66, -46, 92, 10, -30]

Pass 1:
  Compare -79 and -66
  No swap needed
  Compare -66 and -46
  No swap needed
  Compare -46 and 92
  No swap needed
  Compare 92 and 10
  Swap 92 and 10
  List after swap: [-79, -66, -46, 10, 92, -30]
  Compare 92 and -30
  Swap 92 and -30
  List after swap: [-79, -66, -46, 10, -30, 92]

Pass 2:
  Compare -79 and -66
  No swap needed
  Compare -66 and -46
  No swap needed
  Compare -46 and 10
  No swap needed
  Compare 10 and -30
  Swap 10 and -30
  List after swap: [-79, -66, -46, -30, 10, 92]

Pass 3:
  Compare -79 and -66
  No swap needed
  Compare -66 and -46
  No swap needed
  Compare -46 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -66, -46, -30, 10, 92]
</think>

<response>-79, -66, -46, -30, 10, 92</response>


input: Use the bubble sort technique to reorder 9, 4, 5, 31, -19, -28, 7, 94, 29 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [9, 4, 5, 31, -19, -28, 7, 94, 29]

Pass 1:
  Compare 9 and 4
  Swap 9 and 4
  List after swap: [4, 9, 5, 31, -19, -28, 7, 94, 29]
  Compare 9 and 5
  Swap 9 and 5
  List after swap: [4, 5, 9, 31, -19, -28, 7, 94, 29]
  Compare 9 and 31
  No swap needed
  Compare 31 and -19
  Swap 31 and -19
  List after swap: [4, 5, 9, -19, 31, -28, 7, 94, 29]
  Compare 31 and -28
  Swap 31 and -28
  List after swap: [4, 5, 9, -19, -28, 31, 7, 94, 29]
  Compare 31 and 7
  Swap 31 and 7
  List after swap: [4, 5, 9, -19, -28, 7, 31, 94, 29]
  Compare 31 and 94
  No swap needed
  Compare 94 and 29
  Swap 94 and 29
  List after swap: [4, 5, 9, -19, -28, 7, 31, 29, 94]

Pass 2:
  Compare 4 and 5
  No swap needed
  Compare 5 and 9
  No swap needed
  Compare 9 and -19
  Swap 9 and -19
  List after swap: [4, 5, -19, 9, -28, 7, 31, 29, 94]
  Compare 9 and -28
  Swap 9 and -28
  List after swap: [4, 5, -19, -28, 9, 7, 31, 29, 94]
  Compare 9 and 7
  Swap 9 and 7
  List after swap: [4, 5, -19, -28, 7, 9, 31, 29, 94]
  Compare 9 and 31
  No swap needed
  Compare 31 and 29
  Swap 31 and 29
  List after swap: [4, 5, -19, -28, 7, 9, 29, 31, 94]

Pass 3:
  Compare 4 and 5
  No swap needed
  Compare 5 and -19
  Swap 5 and -19
  List after swap: [4, -19, 5, -28, 7, 9, 29, 31, 94]
  Compare 5 and -28
  Swap 5 and -28
  List after swap: [4, -19, -28, 5, 7, 9, 29, 31, 94]
  Compare 5 and 7
  No swap needed
  Compare 7 and 9
  No swap needed
  Compare 9 and 29
  No swap needed

Pass 4:
  Compare 4 and -19
  Swap 4 and -19
  List after swap: [-19, 4, -28, 5, 7, 9, 29, 31, 94]
  Compare 4 and -28
  Swap 4 and -28
  List after swap: [-19, -28, 4, 5, 7, 9, 29, 31, 94]
  Compare 4 and 5
  No swap needed
  Compare 5 and 7
  No swap needed
  Compare 7 and 9
  No swap needed

Pass 5:
  Compare -19 and -28
  Swap -19 and -28
  List after swap: [-28, -19, 4, 5, 7, 9, 29, 31, 94]
  Compare -19 and 4
  No swap needed
  Compare 4 and 5
  No swap needed
  Compare 5 and 7
  No swap needed

Pass 6:
  Compare -28 and -19
  No swap needed
  Compare -19 and 4
  No swap needed
  Compare 4 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, -19, 4, 5, 7, 9, 29, 31, 94]
</think>

<response>-28, -19, 4, 5, 7, 9, 29, 31, 94</response>


input: Using the bubble sort method, sort -28, 80, 28, 96, 87, 11, -60, -49, -51 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-28, 80, 28, 96, 87, 11, -60, -49, -51]

Pass 1:
  Compare -28 and 80
  No swap needed
  Compare 80 and 28
  Swap 80 and 28
  List after swap: [-28, 28, 80, 96, 87, 11, -60, -49, -51]
  Compare 80 and 96
  No swap needed
  Compare 96 and 87
  Swap 96 and 87
  List after swap: [-28, 28, 80, 87, 96, 11, -60, -49, -51]
  Compare 96 and 11
  Swap 96 and 11
  List after swap: [-28, 28, 80, 87, 11, 96, -60, -49, -51]
  Compare 96 and -60
  Swap 96 and -60
  List after swap: [-28, 28, 80, 87, 11, -60, 96, -49, -51]
  Compare 96 and -49
  Swap 96 and -49
  List after swap: [-28, 28, 80, 87, 11, -60, -49, 96, -51]
  Compare 96 and -51
  Swap 96 and -51
  List after swap: [-28, 28, 80, 87, 11, -60, -49, -51, 96]

Pass 2:
  Compare -28 and 28
  No swap needed
  Compare 28 and 80
  No swap needed
  Compare 80 and 87
  No swap needed
  Compare 87 and 11
  Swap 87 and 11
  List after swap: [-28, 28, 80, 11, 87, -60, -49, -51, 96]
  Compare 87 and -60
  Swap 87 and -60
  List after swap: [-28, 28, 80, 11, -60, 87, -49, -51, 96]
  Compare 87 and -49
  Swap 87 and -49
  List after swap: [-28, 28, 80, 11, -60, -49, 87, -51, 96]
  Compare 87 and -51
  Swap 87 and -51
  List after swap: [-28, 28, 80, 11, -60, -49, -51, 87, 96]

Pass 3:
  Compare -28 and 28
  No swap needed
  Compare 28 and 80
  No swap needed
  Compare 80 and 11
  Swap 80 and 11
  List after swap: [-28, 28, 11, 80, -60, -49, -51, 87, 96]
  Compare 80 and -60
  Swap 80 and -60
  List after swap: [-28, 28, 11, -60, 80, -49, -51, 87, 96]
  Compare 80 and -49
  Swap 80 and -49
  List after swap: [-28, 28, 11, -60, -49, 80, -51, 87, 96]
  Compare 80 and -51
  Swap 80 and -51
  List after swap: [-28, 28, 11, -60, -49, -51, 80, 87, 96]

Pass 4:
  Compare -28 and 28
  No swap needed
  Compare 28 and 11
  Swap 28 and 11
  List after swap: [-28, 11, 28, -60, -49, -51, 80, 87, 96]
  Compare 28 and -60
  Swap 28 and -60
  List after swap: [-28, 11, -60, 28, -49, -51, 80, 87, 96]
  Compare 28 and -49
  Swap 28 and -49
  List after swap: [-28, 11, -60, -49, 28, -51, 80, 87, 96]
  Compare 28 and -51
  Swap 28 and -51
  List after swap: [-28, 11, -60, -49, -51, 28, 80, 87, 96]

Pass 5:
  Compare -28 and 11
  No swap needed
  Compare 11 and -60
  Swap 11 and -60
  List after swap: [-28, -60, 11, -49, -51, 28, 80, 87, 96]
  Compare 11 and -49
  Swap 11 and -49
  List after swap: [-28, -60, -49, 11, -51, 28, 80, 87, 96]
  Compare 11 and -51
  Swap 11 and -51
  List after swap: [-28, -60, -49, -51, 11, 28, 80, 87, 96]

Pass 6:
  Compare -28 and -60
  Swap -28 and -60
  List after swap: [-60, -28, -49, -51, 11, 28, 80, 87, 96]
  Compare -28 and -49
  Swap -28 and -49
  List after swap: [-60, -49, -28, -51, 11, 28, 80, 87, 96]
  Compare -28 and -51
  Swap -28 and -51
  List after swap: [-60, -49, -51, -28, 11, 28, 80, 87, 96]

Pass 7:
  Compare -60 and -49
  No swap needed
  Compare -49 and -51
  Swap -49 and -51
  List after swap: [-60, -51, -49, -28, 11, 28, 80, 87, 96]

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

Final sorted list: [-60, -51, -49, -28, 11, 28, 80, 87, 96]
</think>

<response>-60, -51, -49, -28, 11, 28, 80, 87, 96</response>


input: Using the bubble sort method, sort -26, 68, -28, -72 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-26, 68, -28, -72]

Pass 1:
  Compare -26 and 68
  No swap needed
  Compare 68 and -28
  Swap 68 and -28
  List after swap: [-26, -28, 68, -72]
  Compare 68 and -72
  Swap 68 and -72
  List after swap: [-26, -28, -72, 68]

Pass 2:
  Compare -26 and -28
  Swap -26 and -28
  List after swap: [-28, -26, -72, 68]
  Compare -26 and -72
  Swap -26 and -72
  List after swap: [-28, -72, -26, 68]

Pass 3:
  Compare -28 and -72
  Swap -28 and -72
  List after swap: [-72, -28, -26, 68]

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

Final sorted list: [-72, -28, -26, 68]
</think>

<response>-72, -28, -26, 68</response>


input: Implement bubble sort on 0, 92, 42, -87, -11, -4 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [0, 92, 42, -87, -11, -4]

Pass 1:
  Compare 0 and 92
  No swap needed
  Compare 92 and 42
  Swap 92 and 42
  List after swap: [0, 42, 92, -87, -11, -4]
  Compare 92 and -87
  Swap 92 and -87
  List after swap: [0, 42, -87, 92, -11, -4]
  Compare 92 and -11
  Swap 92 and -11
  List after swap: [0, 42, -87, -11, 92, -4]
  Compare 92 and -4
  Swap 92 and -4
  List after swap: [0, 42, -87, -11, -4, 92]

Pass 2:
  Compare 0 and 42
  No swap needed
  Compare 42 and -87
  Swap 42 and -87
  List after swap: [0, -87, 42, -11, -4, 92]
  Compare 42 and -11
  Swap 42 and -11
  List after swap: [0, -87, -11, 42, -4, 92]
  Compare 42 and -4
  Swap 42 and -4
  List after swap: [0, -87, -11, -4, 42, 92]

Pass 3:
  Compare 0 and -87
  Swap 0 and -87
  List after swap: [-87, 0, -11, -4, 42, 92]
  Compare 0 and -11
  Swap 0 and -11
  List after swap: [-87, -11, 0, -4, 42, 92]
  Compare 0 and -4
  Swap 0 and -4
  List after swap: [-87, -11, -4, 0, 42, 92]

Pass 4:
  Compare -87 and -11
  No swap needed
  Compare -11 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -11, -4, 0, 42, 92]
</think>

<response>-87, -11, -4, 0, 42, 92</response>


input: Execute bubble sort to sort -45, -83, -34, 84, 3, 13, -40 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-45, -83, -34, 84, 3, 13, -40]

Pass 1:
  Compare -45 and -83
  Swap -45 and -83
  List after swap: [-83, -45, -34, 84, 3, 13, -40]
  Compare -45 and -34
  No swap needed
  Compare -34 and 84
  No swap needed
  Compare 84 and 3
  Swap 84 and 3
  List after swap: [-83, -45, -34, 3, 84, 13, -40]
  Compare 84 and 13
  Swap 84 and 13
  List after swap: [-83, -45, -34, 3, 13, 84, -40]
  Compare 84 and -40
  Swap 84 and -40
  List after swap: [-83, -45, -34, 3, 13, -40, 84]

Pass 2:
  Compare -83 and -45
  No swap needed
  Compare -45 and -34
  No swap needed
  Compare -34 and 3
  No swap needed
  Compare 3 and 13
  No swap needed
  Compare 13 and -40
  Swap 13 and -40
  List after swap: [-83, -45, -34, 3, -40, 13, 84]

Pass 3:
  Compare -83 and -45
  No swap needed
  Compare -45 and -34
  No swap needed
  Compare -34 and 3
  No swap needed
  Compare 3 and -40
  Swap 3 and -40
  List after swap: [-83, -45, -34, -40, 3, 13, 84]

Pass 4:
  Compare -83 and -45
  No swap needed
  Compare -45 and -34
  No swap needed
  Compare -34 and -40
  Swap -34 and -40
  List after swap: [-83, -45, -40, -34, 3, 13, 84]

Pass 5:
  Compare -83 and -45
  No swap needed
  Compare -45 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -45, -40, -34, 3, 13, 84]
</think>

<response>-83, -45, -40, -34, 3, 13, 84</response>


input: Implement bubble sort on -57, -34, -54, 47, -25, 87 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-57, -34, -54, 47, -25, 87]

Pass 1:
  Compare -57 and -34
  No swap needed
  Compare -34 and -54
  Swap -34 and -54
  List after swap: [-57, -54, -34, 47, -25, 87]
  Compare -34 and 47
  No swap needed
  Compare 47 and -25
  Swap 47 and -25
  List after swap: [-57, -54, -34, -25, 47, 87]
  Compare 47 and 87
  No swap needed

Pass 2:
  Compare -57 and -54
  No swap needed
  Compare -54 and -34
  No swap needed
  Compare -34 and -25
  No swap needed
  Compare -25 and 47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -54, -34, -25, 47, 87]
</think>

<response>-57, -54, -34, -25, 47, 87</response>


input: Implement bubble sort on -21, -91, -8, -2, 24 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-21, -91, -8, -2, 24]

Pass 1:
  Compare -21 and -91
  Swap -21 and -91
  List after swap: [-91, -21, -8, -2, 24]
  Compare -21 and -8
  No swap needed
  Compare -8 and -2
  No swap needed
  Compare -2 and 24
  No swap needed

Pass 2:
  Compare -91 and -21
  No swap needed
  Compare -21 and -8
  No swap needed
  Compare -8 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -21, -8, -2, 24]
</think>

<response>-91, -21, -8, -2, 24</response>


input: Use the bubble sort technique to reorder -10, 98, 96, 25, -69, -1, 70, 66 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-10, 98, 96, 25, -69, -1, 70, 66]

Pass 1:
  Compare -10 and 98
  No swap needed
  Compare 98 and 96
  Swap 98 and 96
  List after swap: [-10, 96, 98, 25, -69, -1, 70, 66]
  Compare 98 and 25
  Swap 98 and 25
  List after swap: [-10, 96, 25, 98, -69, -1, 70, 66]
  Compare 98 and -69
  Swap 98 and -69
  List after swap: [-10, 96, 25, -69, 98, -1, 70, 66]
  Compare 98 and -1
  Swap 98 and -1
  List after swap: [-10, 96, 25, -69, -1, 98, 70, 66]
  Compare 98 and 70
  Swap 98 and 70
  List after swap: [-10, 96, 25, -69, -1, 70, 98, 66]
  Compare 98 and 66
  Swap 98 and 66
  List after swap: [-10, 96, 25, -69, -1, 70, 66, 98]

Pass 2:
  Compare -10 and 96
  No swap needed
  Compare 96 and 25
  Swap 96 and 25
  List after swap: [-10, 25, 96, -69, -1, 70, 66, 98]
  Compare 96 and -69
  Swap 96 and -69
  List after swap: [-10, 25, -69, 96, -1, 70, 66, 98]
  Compare 96 and -1
  Swap 96 and -1
  List after swap: [-10, 25, -69, -1, 96, 70, 66, 98]
  Compare 96 and 70
  Swap 96 and 70
  List after swap: [-10, 25, -69, -1, 70, 96, 66, 98]
  Compare 96 and 66
  Swap 96 and 66
  List after swap: [-10, 25, -69, -1, 70, 66, 96, 98]

Pass 3:
  Compare -10 and 25
  No swap needed
  Compare 25 and -69
  Swap 25 and -69
  List after swap: [-10, -69, 25, -1, 70, 66, 96, 98]
  Compare 25 and -1
  Swap 25 and -1
  List after swap: [-10, -69, -1, 25, 70, 66, 96, 98]
  Compare 25 and 70
  No swap needed
  Compare 70 and 66
  Swap 70 and 66
  List after swap: [-10, -69, -1, 25, 66, 70, 96, 98]

Pass 4:
  Compare -10 and -69
  Swap -10 and -69
  List after swap: [-69, -10, -1, 25, 66, 70, 96, 98]
  Compare -10 and -1
  No swap needed
  Compare -1 and 25
  No swap needed
  Compare 25 and 66
  No swap needed

Pass 5:
  Compare -69 and -10
  No swap needed
  Compare -10 and -1
  No swap needed
  Compare -1 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -10, -1, 25, 66, 70, 96, 98]
</think>

<response>-69, -10, -1, 25, 66, 70, 96, 98</response>


input: Sort the list -39, 36, 52, 40, -63, 72, 42, -26, -98 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-39, 36, 52, 40, -63, 72, 42, -26, -98]

Pass 1:
  Compare -39 and 36
  No swap needed
  Compare 36 and 52
  No swap needed
  Compare 52 and 40
  Swap 52 and 40
  List after swap: [-39, 36, 40, 52, -63, 72, 42, -26, -98]
  Compare 52 and -63
  Swap 52 and -63
  List after swap: [-39, 36, 40, -63, 52, 72, 42, -26, -98]
  Compare 52 and 72
  No swap needed
  Compare 72 and 42
  Swap 72 and 42
  List after swap: [-39, 36, 40, -63, 52, 42, 72, -26, -98]
  Compare 72 and -26
  Swap 72 and -26
  List after swap: [-39, 36, 40, -63, 52, 42, -26, 72, -98]
  Compare 72 and -98
  Swap 72 and -98
  List after swap: [-39, 36, 40, -63, 52, 42, -26, -98, 72]

Pass 2:
  Compare -39 and 36
  No swap needed
  Compare 36 and 40
  No swap needed
  Compare 40 and -63
  Swap 40 and -63
  List after swap: [-39, 36, -63, 40, 52, 42, -26, -98, 72]
  Compare 40 and 52
  No swap needed
  Compare 52 and 42
  Swap 52 and 42
  List after swap: [-39, 36, -63, 40, 42, 52, -26, -98, 72]
  Compare 52 and -26
  Swap 52 and -26
  List after swap: [-39, 36, -63, 40, 42, -26, 52, -98, 72]
  Compare 52 and -98
  Swap 52 and -98
  List after swap: [-39, 36, -63, 40, 42, -26, -98, 52, 72]

Pass 3:
  Compare -39 and 36
  No swap needed
  Compare 36 and -63
  Swap 36 and -63
  List after swap: [-39, -63, 36, 40, 42, -26, -98, 52, 72]
  Compare 36 and 40
  No swap needed
  Compare 40 and 42
  No swap needed
  Compare 42 and -26
  Swap 42 and -26
  List after swap: [-39, -63, 36, 40, -26, 42, -98, 52, 72]
  Compare 42 and -98
  Swap 42 and -98
  List after swap: [-39, -63, 36, 40, -26, -98, 42, 52, 72]

Pass 4:
  Compare -39 and -63
  Swap -39 and -63
  List after swap: [-63, -39, 36, 40, -26, -98, 42, 52, 72]
  Compare -39 and 36
  No swap needed
  Compare 36 and 40
  No swap needed
  Compare 40 and -26
  Swap 40 and -26
  List after swap: [-63, -39, 36, -26, 40, -98, 42, 52, 72]
  Compare 40 and -98
  Swap 40 and -98
  List after swap: [-63, -39, 36, -26, -98, 40, 42, 52, 72]

Pass 5:
  Compare -63 and -39
  No swap needed
  Compare -39 and 36
  No swap needed
  Compare 36 and -26
  Swap 36 and -26
  List after swap: [-63, -39, -26, 36, -98, 40, 42, 52, 72]
  Compare 36 and -98
  Swap 36 and -98
  List after swap: [-63, -39, -26, -98, 36, 40, 42, 52, 72]

Pass 6:
  Compare -63 and -39
  No swap needed
  Compare -39 and -26
  No swap needed
  Compare -26 and -98
  Swap -26 and -98
  List after swap: [-63, -39, -98, -26, 36, 40, 42, 52, 72]

Pass 7:
  Compare -63 and -39
  No swap needed
  Compare -39 and -98
  Swap -39 and -98
  List after swap: [-63, -98, -39, -26, 36, 40, 42, 52, 72]

Pass 8:
  Compare -63 and -98
  Swap -63 and -98
  List after swap: [-98, -63, -39, -26, 36, 40, 42, 52, 72]

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

Final sorted list: [-98, -63, -39, -26, 36, 40, 42, 52, 72]
</think>

<response>-98, -63, -39, -26, 36, 40, 42, 52, 72</response>


input: Perform a bubble sort on the integers -88, 81, -11, 86, -79, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-88, 81, -11, 86, -79]

Pass 1:
  Compare -88 and 81
  No swap needed
  Compare 81 and -11
  Swap 81 and -11
  List after swap: [-88, -11, 81, 86, -79]
  Compare 81 and 86
  No swap needed
  Compare 86 and -79
  Swap 86 and -79
  List after swap: [-88, -11, 81, -79, 86]

Pass 2:
  Compare -88 and -11
  No swap needed
  Compare -11 and 81
  No swap needed
  Compare 81 and -79
  Swap 81 and -79
  List after swap: [-88, -11, -79, 81, 86]

Pass 3:
  Compare -88 and -11
  No swap needed
  Compare -11 and -79
  Swap -11 and -79
  List after swap: [-88, -79, -11, 81, 86]

Pass 4:
  Compare -88 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -79, -11, 81, 86]
</think>

<response>-88, -79, -11, 81, 86</response>


input: Arrange the numbers -30, -83, 11, -65, 56, -33, -35, 85, -8 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-30, -83, 11, -65, 56, -33, -35, 85, -8]

Pass 1:
  Compare -30 and -83
  Swap -30 and -83
  List after swap: [-83, -30, 11, -65, 56, -33, -35, 85, -8]
  Compare -30 and 11
  No swap needed
  Compare 11 and -65
  Swap 11 and -65
  List after swap: [-83, -30, -65, 11, 56, -33, -35, 85, -8]
  Compare 11 and 56
  No swap needed
  Compare 56 and -33
  Swap 56 and -33
  List after swap: [-83, -30, -65, 11, -33, 56, -35, 85, -8]
  Compare 56 and -35
  Swap 56 and -35
  List after swap: [-83, -30, -65, 11, -33, -35, 56, 85, -8]
  Compare 56 and 85
  No swap needed
  Compare 85 and -8
  Swap 85 and -8
  List after swap: [-83, -30, -65, 11, -33, -35, 56, -8, 85]

Pass 2:
  Compare -83 and -30
  No swap needed
  Compare -30 and -65
  Swap -30 and -65
  List after swap: [-83, -65, -30, 11, -33, -35, 56, -8, 85]
  Compare -30 and 11
  No swap needed
  Compare 11 and -33
  Swap 11 and -33
  List after swap: [-83, -65, -30, -33, 11, -35, 56, -8, 85]
  Compare 11 and -35
  Swap 11 and -35
  List after swap: [-83, -65, -30, -33, -35, 11, 56, -8, 85]
  Compare 11 and 56
  No swap needed
  Compare 56 and -8
  Swap 56 and -8
  List after swap: [-83, -65, -30, -33, -35, 11, -8, 56, 85]

Pass 3:
  Compare -83 and -65
  No swap needed
  Compare -65 and -30
  No swap needed
  Compare -30 and -33
  Swap -30 and -33
  List after swap: [-83, -65, -33, -30, -35, 11, -8, 56, 85]
  Compare -30 and -35
  Swap -30 and -35
  List after swap: [-83, -65, -33, -35, -30, 11, -8, 56, 85]
  Compare -30 and 11
  No swap needed
  Compare 11 and -8
  Swap 11 and -8
  List after swap: [-83, -65, -33, -35, -30, -8, 11, 56, 85]

Pass 4:
  Compare -83 and -65
  No swap needed
  Compare -65 and -33
  No swap needed
  Compare -33 and -35
  Swap -33 and -35
  List after swap: [-83, -65, -35, -33, -30, -8, 11, 56, 85]
  Compare -33 and -30
  No swap needed
  Compare -30 and -8
  No swap needed

Pass 5:
  Compare -83 and -65
  No swap needed
  Compare -65 and -35
  No swap needed
  Compare -35 and -33
  No swap needed
  Compare -33 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -65, -35, -33, -30, -8, 11, 56, 85]
</think>

<response>-83, -65, -35, -33, -30, -8, 11, 56, 85</response>


input: Using the bubble sort method, sort -81, 57, -50, -100, 20 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-81, 57, -50, -100, 20]

Pass 1:
  Compare -81 and 57
  No swap needed
  Compare 57 and -50
  Swap 57 and -50
  List after swap: [-81, -50, 57, -100, 20]
  Compare 57 and -100
  Swap 57 and -100
  List after swap: [-81, -50, -100, 57, 20]
  Compare 57 and 20
  Swap 57 and 20
  List after swap: [-81, -50, -100, 20, 57]

Pass 2:
  Compare -81 and -50
  No swap needed
  Compare -50 and -100
  Swap -50 and -100
  List after swap: [-81, -100, -50, 20, 57]
  Compare -50 and 20
  No swap needed

Pass 3:
  Compare -81 and -100
  Swap -81 and -100
  List after swap: [-100, -81, -50, 20, 57]
  Compare -81 and -50
  No swap needed

Pass 4:
  Compare -100 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -81, -50, 20, 57]
</think>

<response>-100, -81, -50, 20, 57</response>


input: Arrange the numbers 23, 32, 93, -20, -67, -16, 60, 71, -7 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [23, 32, 93, -20, -67, -16, 60, 71, -7]

Pass 1:
  Compare 23 and 32
  No swap needed
  Compare 32 and 93
  No swap needed
  Compare 93 and -20
  Swap 93 and -20
  List after swap: [23, 32, -20, 93, -67, -16, 60, 71, -7]
  Compare 93 and -67
  Swap 93 and -67
  List after swap: [23, 32, -20, -67, 93, -16, 60, 71, -7]
  Compare 93 and -16
  Swap 93 and -16
  List after swap: [23, 32, -20, -67, -16, 93, 60, 71, -7]
  Compare 93 and 60
  Swap 93 and 60
  List after swap: [23, 32, -20, -67, -16, 60, 93, 71, -7]
  Compare 93 and 71
  Swap 93 and 71
  List after swap: [23, 32, -20, -67, -16, 60, 71, 93, -7]
  Compare 93 and -7
  Swap 93 and -7
  List after swap: [23, 32, -20, -67, -16, 60, 71, -7, 93]

Pass 2:
  Compare 23 and 32
  No swap needed
  Compare 32 and -20
  Swap 32 and -20
  List after swap: [23, -20, 32, -67, -16, 60, 71, -7, 93]
  Compare 32 and -67
  Swap 32 and -67
  List after swap: [23, -20, -67, 32, -16, 60, 71, -7, 93]
  Compare 32 and -16
  Swap 32 and -16
  List after swap: [23, -20, -67, -16, 32, 60, 71, -7, 93]
  Compare 32 and 60
  No swap needed
  Compare 60 and 71
  No swap needed
  Compare 71 and -7
  Swap 71 and -7
  List after swap: [23, -20, -67, -16, 32, 60, -7, 71, 93]

Pass 3:
  Compare 23 and -20
  Swap 23 and -20
  List after swap: [-20, 23, -67, -16, 32, 60, -7, 71, 93]
  Compare 23 and -67
  Swap 23 and -67
  List after swap: [-20, -67, 23, -16, 32, 60, -7, 71, 93]
  Compare 23 and -16
  Swap 23 and -16
  List after swap: [-20, -67, -16, 23, 32, 60, -7, 71, 93]
  Compare 23 and 32
  No swap needed
  Compare 32 and 60
  No swap needed
  Compare 60 and -7
  Swap 60 and -7
  List after swap: [-20, -67, -16, 23, 32, -7, 60, 71, 93]

Pass 4:
  Compare -20 and -67
  Swap -20 and -67
  List after swap: [-67, -20, -16, 23, 32, -7, 60, 71, 93]
  Compare -20 and -16
  No swap needed
  Compare -16 and 23
  No swap needed
  Compare 23 and 32
  No swap needed
  Compare 32 and -7
  Swap 32 and -7
  List after swap: [-67, -20, -16, 23, -7, 32, 60, 71, 93]

Pass 5:
  Compare -67 and -20
  No swap needed
  Compare -20 and -16
  No swap needed
  Compare -16 and 23
  No swap needed
  Compare 23 and -7
  Swap 23 and -7
  List after swap: [-67, -20, -16, -7, 23, 32, 60, 71, 93]

Pass 6:
  Compare -67 and -20
  No swap needed
  Compare -20 and -16
  No swap needed
  Compare -16 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -20, -16, -7, 23, 32, 60, 71, 93]
</think>

<response>-67, -20, -16, -7, 23, 32, 60, 71, 93</response>


input: Sort these integers 19, 16, 40, -76, -83 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [19, 16, 40, -76, -83]

Pass 1:
  Compare 19 and 16
  Swap 19 and 16
  List after swap: [16, 19, 40, -76, -83]
  Compare 19 and 40
  No swap needed
  Compare 40 and -76
  Swap 40 and -76
  List after swap: [16, 19, -76, 40, -83]
  Compare 40 and -83
  Swap 40 and -83
  List after swap: [16, 19, -76, -83, 40]

Pass 2:
  Compare 16 and 19
  No swap needed
  Compare 19 and -76
  Swap 19 and -76
  List after swap: [16, -76, 19, -83, 40]
  Compare 19 and -83
  Swap 19 and -83
  List after swap: [16, -76, -83, 19, 40]

Pass 3:
  Compare 16 and -76
  Swap 16 and -76
  List after swap: [-76, 16, -83, 19, 40]
  Compare 16 and -83
  Swap 16 and -83
  List after swap: [-76, -83, 16, 19, 40]

Pass 4:
  Compare -76 and -83
  Swap -76 and -83
  List after swap: [-83, -76, 16, 19, 40]

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

Final sorted list: [-83, -76, 16, 19, 40]
</think>

<response>-83, -76, 16, 19, 40</response>


input: Perform a bubble sort on the integers 57, -81, 58, -8, 55, 3, 6, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [57, -81, 58, -8, 55, 3, 6]

Pass 1:
  Compare 57 and -81
  Swap 57 and -81
  List after swap: [-81, 57, 58, -8, 55, 3, 6]
  Compare 57 and 58
  No swap needed
  Compare 58 and -8
  Swap 58 and -8
  List after swap: [-81, 57, -8, 58, 55, 3, 6]
  Compare 58 and 55
  Swap 58 and 55
  List after swap: [-81, 57, -8, 55, 58, 3, 6]
  Compare 58 and 3
  Swap 58 and 3
  List after swap: [-81, 57, -8, 55, 3, 58, 6]
  Compare 58 and 6
  Swap 58 and 6
  List after swap: [-81, 57, -8, 55, 3, 6, 58]

Pass 2:
  Compare -81 and 57
  No swap needed
  Compare 57 and -8
  Swap 57 and -8
  List after swap: [-81, -8, 57, 55, 3, 6, 58]
  Compare 57 and 55
  Swap 57 and 55
  List after swap: [-81, -8, 55, 57, 3, 6, 58]
  Compare 57 and 3
  Swap 57 and 3
  List after swap: [-81, -8, 55, 3, 57, 6, 58]
  Compare 57 and 6
  Swap 57 and 6
  List after swap: [-81, -8, 55, 3, 6, 57, 58]

Pass 3:
  Compare -81 and -8
  No swap needed
  Compare -8 and 55
  No swap needed
  Compare 55 and 3
  Swap 55 and 3
  List after swap: [-81, -8, 3, 55, 6, 57, 58]
  Compare 55 and 6
  Swap 55 and 6
  List after swap: [-81, -8, 3, 6, 55, 57, 58]

Pass 4:
  Compare -81 and -8
  No swap needed
  Compare -8 and 3
  No swap needed
  Compare 3 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -8, 3, 6, 55, 57, 58]
</think>

<response>-81, -8, 3, 6, 55, 57, 58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 17, 46, -42, -26, -60.

output:
<think>
Initial list: [17, 46, -42, -26, -60]

Pass 1:
  Compare 17 and 46
  No swap needed
  Compare 46 and -42
  Swap 46 and -42
  List after swap: [17, -42, 46, -26, -60]
  Compare 46 and -26
  Swap 46 and -26
  List after swap: [17, -42, -26, 46, -60]
  Compare 46 and -60
  Swap 46 and -60
  List after swap: [17, -42, -26, -60, 46]

Pass 2:
  Compare 17 and -42
  Swap 17 and -42
  List after swap: [-42, 17, -26, -60, 46]
  Compare 17 and -26
  Swap 17 and -26
  List after swap: [-42, -26, 17, -60, 46]
  Compare 17 and -60
  Swap 17 and -60
  List after swap: [-42, -26, -60, 17, 46]

Pass 3:
  Compare -42 and -26
  No swap needed
  Compare -26 and -60
  Swap -26 and -60
  List after swap: [-42, -60, -26, 17, 46]

Pass 4:
  Compare -42 and -60
  Swap -42 and -60
  List after swap: [-60, -42, -26, 17, 46]

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

Final sorted list: [-60, -42, -26, 17, 46]
</think>

<response>-60, -42, -26, 17, 46</response>


input: Implement bubble sort on -11, -53, 73, -100, -84, -49, -55 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-11, -53, 73, -100, -84, -49, -55]

Pass 1:
  Compare -11 and -53
  Swap -11 and -53
  List after swap: [-53, -11, 73, -100, -84, -49, -55]
  Compare -11 and 73
  No swap needed
  Compare 73 and -100
  Swap 73 and -100
  List after swap: [-53, -11, -100, 73, -84, -49, -55]
  Compare 73 and -84
  Swap 73 and -84
  List after swap: [-53, -11, -100, -84, 73, -49, -55]
  Compare 73 and -49
  Swap 73 and -49
  List after swap: [-53, -11, -100, -84, -49, 73, -55]
  Compare 73 and -55
  Swap 73 and -55
  List after swap: [-53, -11, -100, -84, -49, -55, 73]

Pass 2:
  Compare -53 and -11
  No swap needed
  Compare -11 and -100
  Swap -11 and -100
  List after swap: [-53, -100, -11, -84, -49, -55, 73]
  Compare -11 and -84
  Swap -11 and -84
  List after swap: [-53, -100, -84, -11, -49, -55, 73]
  Compare -11 and -49
  Swap -11 and -49
  List after swap: [-53, -100, -84, -49, -11, -55, 73]
  Compare -11 and -55
  Swap -11 and -55
  List after swap: [-53, -100, -84, -49, -55, -11, 73]

Pass 3:
  Compare -53 and -100
  Swap -53 and -100
  List after swap: [-100, -53, -84, -49, -55, -11, 73]
  Compare -53 and -84
  Swap -53 and -84
  List after swap: [-100, -84, -53, -49, -55, -11, 73]
  Compare -53 and -49
  No swap needed
  Compare -49 and -55
  Swap -49 and -55
  List after swap: [-100, -84, -53, -55, -49, -11, 73]

Pass 4:
  Compare -100 and -84
  No swap needed
  Compare -84 and -53
  No swap needed
  Compare -53 and -55
  Swap -53 and -55
  List after swap: [-100, -84, -55, -53, -49, -11, 73]

Pass 5:
  Compare -100 and -84
  No swap needed
  Compare -84 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -84, -55, -53, -49, -11, 73]
</think>

<response>-100, -84, -55, -53, -49, -11, 73</response>


input: Carry out the bubble sort algorithm on 51, -93, -56, 19 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [51, -93, -56, 19]

Pass 1:
  Compare 51 and -93
  Swap 51 and -93
  List after swap: [-93, 51, -56, 19]
  Compare 51 and -56
  Swap 51 and -56
  List after swap: [-93, -56, 51, 19]
  Compare 51 and 19
  Swap 51 and 19
  List after swap: [-93, -56, 19, 51]

Pass 2:
  Compare -93 and -56
  No swap needed
  Compare -56 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -56, 19, 51]
</think>

<response>-93, -56, 19, 51</response>


input: Perform a bubble sort on the integers -21, -32, -29, -60, -6, 22, -75, -63, 74, 58, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-21, -32, -29, -60, -6, 22, -75, -63, 74, 58]

Pass 1:
  Compare -21 and -32
  Swap -21 and -32
  List after swap: [-32, -21, -29, -60, -6, 22, -75, -63, 74, 58]
  Compare -21 and -29
  Swap -21 and -29
  List after swap: [-32, -29, -21, -60, -6, 22, -75, -63, 74, 58]
  Compare -21 and -60
  Swap -21 and -60
  List after swap: [-32, -29, -60, -21, -6, 22, -75, -63, 74, 58]
  Compare -21 and -6
  No swap needed
  Compare -6 and 22
  No swap needed
  Compare 22 and -75
  Swap 22 and -75
  List after swap: [-32, -29, -60, -21, -6, -75, 22, -63, 74, 58]
  Compare 22 and -63
  Swap 22 and -63
  List after swap: [-32, -29, -60, -21, -6, -75, -63, 22, 74, 58]
  Compare 22 and 74
  No swap needed
  Compare 74 and 58
  Swap 74 and 58
  List after swap: [-32, -29, -60, -21, -6, -75, -63, 22, 58, 74]

Pass 2:
  Compare -32 and -29
  No swap needed
  Compare -29 and -60
  Swap -29 and -60
  List after swap: [-32, -60, -29, -21, -6, -75, -63, 22, 58, 74]
  Compare -29 and -21
  No swap needed
  Compare -21 and -6
  No swap needed
  Compare -6 and -75
  Swap -6 and -75
  List after swap: [-32, -60, -29, -21, -75, -6, -63, 22, 58, 74]
  Compare -6 and -63
  Swap -6 and -63
  List after swap: [-32, -60, -29, -21, -75, -63, -6, 22, 58, 74]
  Compare -6 and 22
  No swap needed
  Compare 22 and 58
  No swap needed

Pass 3:
  Compare -32 and -60
  Swap -32 and -60
  List after swap: [-60, -32, -29, -21, -75, -63, -6, 22, 58, 74]
  Compare -32 and -29
  No swap needed
  Compare -29 and -21
  No swap needed
  Compare -21 and -75
  Swap -21 and -75
  List after swap: [-60, -32, -29, -75, -21, -63, -6, 22, 58, 74]
  Compare -21 and -63
  Swap -21 and -63
  List after swap: [-60, -32, -29, -75, -63, -21, -6, 22, 58, 74]
  Compare -21 and -6
  No swap needed
  Compare -6 and 22
  No swap needed

Pass 4:
  Compare -60 and -32
  No swap needed
  Compare -32 and -29
  No swap needed
  Compare -29 and -75
  Swap -29 and -75
  List after swap: [-60, -32, -75, -29, -63, -21, -6, 22, 58, 74]
  Compare -29 and -63
  Swap -29 and -63
  List after swap: [-60, -32, -75, -63, -29, -21, -6, 22, 58, 74]
  Compare -29 and -21
  No swap needed
  Compare -21 and -6
  No swap needed

Pass 5:
  Compare -60 and -32
  No swap needed
  Compare -32 and -75
  Swap -32 and -75
  List after swap: [-60, -75, -32, -63, -29, -21, -6, 22, 58, 74]
  Compare -32 and -63
  Swap -32 and -63
  List after swap: [-60, -75, -63, -32, -29, -21, -6, 22, 58, 74]
  Compare -32 and -29
  No swap needed
  Compare -29 and -21
  No swap needed

Pass 6:
  Compare -60 and -75
  Swap -60 and -75
  List after swap: [-75, -60, -63, -32, -29, -21, -6, 22, 58, 74]
  Compare -60 and -63
  Swap -60 and -63
  List after swap: [-75, -63, -60, -32, -29, -21, -6, 22, 58, 74]
  Compare -60 and -32
  No swap needed
  Compare -32 and -29
  No swap needed

Pass 7:
  Compare -75 and -63
  No swap needed
  Compare -63 and -60
  No swap needed
  Compare -60 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -63, -60, -32, -29, -21, -6, 22, 58, 74]
</think>

<response>-75, -63, -60, -32, -29, -21, -6, 22, 58, 74</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -20, 37, 96, 15, 90, -22, 80, 93, 54.

output:
<think>
Initial list: [-20, 37, 96, 15, 90, -22, 80, 93, 54]

Pass 1:
  Compare -20 and 37
  No swap needed
  Compare 37 and 96
  No swap needed
  Compare 96 and 15
  Swap 96 and 15
  List after swap: [-20, 37, 15, 96, 90, -22, 80, 93, 54]
  Compare 96 and 90
  Swap 96 and 90
  List after swap: [-20, 37, 15, 90, 96, -22, 80, 93, 54]
  Compare 96 and -22
  Swap 96 and -22
  List after swap: [-20, 37, 15, 90, -22, 96, 80, 93, 54]
  Compare 96 and 80
  Swap 96 and 80
  List after swap: [-20, 37, 15, 90, -22, 80, 96, 93, 54]
  Compare 96 and 93
  Swap 96 and 93
  List after swap: [-20, 37, 15, 90, -22, 80, 93, 96, 54]
  Compare 96 and 54
  Swap 96 and 54
  List after swap: [-20, 37, 15, 90, -22, 80, 93, 54, 96]

Pass 2:
  Compare -20 and 37
  No swap needed
  Compare 37 and 15
  Swap 37 and 15
  List after swap: [-20, 15, 37, 90, -22, 80, 93, 54, 96]
  Compare 37 and 90
  No swap needed
  Compare 90 and -22
  Swap 90 and -22
  List after swap: [-20, 15, 37, -22, 90, 80, 93, 54, 96]
  Compare 90 and 80
  Swap 90 and 80
  List after swap: [-20, 15, 37, -22, 80, 90, 93, 54, 96]
  Compare 90 and 93
  No swap needed
  Compare 93 and 54
  Swap 93 and 54
  List after swap: [-20, 15, 37, -22, 80, 90, 54, 93, 96]

Pass 3:
  Compare -20 and 15
  No swap needed
  Compare 15 and 37
  No swap needed
  Compare 37 and -22
  Swap 37 and -22
  List after swap: [-20, 15, -22, 37, 80, 90, 54, 93, 96]
  Compare 37 and 80
  No swap needed
  Compare 80 and 90
  No swap needed
  Compare 90 and 54
  Swap 90 and 54
  List after swap: [-20, 15, -22, 37, 80, 54, 90, 93, 96]

Pass 4:
  Compare -20 and 15
  No swap needed
  Compare 15 and -22
  Swap 15 and -22
  List after swap: [-20, -22, 15, 37, 80, 54, 90, 93, 96]
  Compare 15 and 37
  No swap needed
  Compare 37 and 80
  No swap needed
  Compare 80 and 54
  Swap 80 and 54
  List after swap: [-20, -22, 15, 37, 54, 80, 90, 93, 96]

Pass 5:
  Compare -20 and -22
  Swap -20 and -22
  List after swap: [-22, -20, 15, 37, 54, 80, 90, 93, 96]
  Compare -20 and 15
  No swap needed
  Compare 15 and 37
  No swap needed
  Compare 37 and 54
  No swap needed

Pass 6:
  Compare -22 and -20
  No swap needed
  Compare -20 and 15
  No swap needed
  Compare 15 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, -20, 15, 37, 54, 80, 90, 93, 96]
</think>

<response>-22, -20, 15, 37, 54, 80, 90, 93, 96</response>


input: Sort the list -47, 66, 38, 99, 0 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-47, 66, 38, 99, 0]

Pass 1:
  Compare -47 and 66
  No swap needed
  Compare 66 and 38
  Swap 66 and 38
  List after swap: [-47, 38, 66, 99, 0]
  Compare 66 and 99
  No swap needed
  Compare 99 and 0
  Swap 99 and 0
  List after swap: [-47, 38, 66, 0, 99]

Pass 2:
  Compare -47 and 38
  No swap needed
  Compare 38 and 66
  No swap needed
  Compare 66 and 0
  Swap 66 and 0
  List after swap: [-47, 38, 0, 66, 99]

Pass 3:
  Compare -47 and 38
  No swap needed
  Compare 38 and 0
  Swap 38 and 0
  List after swap: [-47, 0, 38, 66, 99]

Pass 4:
  Compare -47 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, 0, 38, 66, 99]
</think>

<response>-47, 0, 38, 66, 99</response>


input: Use the bubble sort technique to reorder 1, 88, 63 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [1, 88, 63]

Pass 1:
  Compare 1 and 88
  No swap needed
  Compare 88 and 63
  Swap 88 and 63
  List after swap: [1, 63, 88]

Pass 2:
  Compare 1 and 63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [1, 63, 88]
</think>

<response>1, 63, 88</response>


input: Carry out the bubble sort algorithm on 27, -68, 57, 49, 70, -84 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [27, -68, 57, 49, 70, -84]

Pass 1:
  Compare 27 and -68
  Swap 27 and -68
  List after swap: [-68, 27, 57, 49, 70, -84]
  Compare 27 and 57
  No swap needed
  Compare 57 and 49
  Swap 57 and 49
  List after swap: [-68, 27, 49, 57, 70, -84]
  Compare 57 and 70
  No swap needed
  Compare 70 and -84
  Swap 70 and -84
  List after swap: [-68, 27, 49, 57, -84, 70]

Pass 2:
  Compare -68 and 27
  No swap needed
  Compare 27 and 49
  No swap needed
  Compare 49 and 57
  No swap needed
  Compare 57 and -84
  Swap 57 and -84
  List after swap: [-68, 27, 49, -84, 57, 70]

Pass 3:
  Compare -68 and 27
  No swap needed
  Compare 27 and 49
  No swap needed
  Compare 49 and -84
  Swap 49 and -84
  List after swap: [-68, 27, -84, 49, 57, 70]

Pass 4:
  Compare -68 and 27
  No swap needed
  Compare 27 and -84
  Swap 27 and -84
  List after swap: [-68, -84, 27, 49, 57, 70]

Pass 5:
  Compare -68 and -84
  Swap -68 and -84
  List after swap: [-84, -68, 27, 49, 57, 70]

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

Final sorted list: [-84, -68, 27, 49, 57, 70]
</think>

<response>-84, -68, 27, 49, 57, 70</response>


input: Sort the list 75, -32, 19, 24, -64, 66, 42 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [75, -32, 19, 24, -64, 66, 42]

Pass 1:
  Compare 75 and -32
  Swap 75 and -32
  List after swap: [-32, 75, 19, 24, -64, 66, 42]
  Compare 75 and 19
  Swap 75 and 19
  List after swap: [-32, 19, 75, 24, -64, 66, 42]
  Compare 75 and 24
  Swap 75 and 24
  List after swap: [-32, 19, 24, 75, -64, 66, 42]
  Compare 75 and -64
  Swap 75 and -64
  List after swap: [-32, 19, 24, -64, 75, 66, 42]
  Compare 75 and 66
  Swap 75 and 66
  List after swap: [-32, 19, 24, -64, 66, 75, 42]
  Compare 75 and 42
  Swap 75 and 42
  List after swap: [-32, 19, 24, -64, 66, 42, 75]

Pass 2:
  Compare -32 and 19
  No swap needed
  Compare 19 and 24
  No swap needed
  Compare 24 and -64
  Swap 24 and -64
  List after swap: [-32, 19, -64, 24, 66, 42, 75]
  Compare 24 and 66
  No swap needed
  Compare 66 and 42
  Swap 66 and 42
  List after swap: [-32, 19, -64, 24, 42, 66, 75]

Pass 3:
  Compare -32 and 19
  No swap needed
  Compare 19 and -64
  Swap 19 and -64
  List after swap: [-32, -64, 19, 24, 42, 66, 75]
  Compare 19 and 24
  No swap needed
  Compare 24 and 42
  No swap needed

Pass 4:
  Compare -32 and -64
  Swap -32 and -64
  List after swap: [-64, -32, 19, 24, 42, 66, 75]
  Compare -32 and 19
  No swap needed
  Compare 19 and 24
  No swap needed

Pass 5:
  Compare -64 and -32
  No swap needed
  Compare -32 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -32, 19, 24, 42, 66, 75]
</think>

<response>-64, -32, 19, 24, 42, 66, 75</response>


input: Use the bubble sort technique to reorder -66, 31, 95 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-66, 31, 95]

Pass 1:
  Compare -66 and 31
  No swap needed
  Compare 31 and 95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, 31, 95]
</think>

<response>-66, 31, 95</response>


input: Demonstrate how bubble sort orders the integers -13, 5, -29, 31, 54 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-13, 5, -29, 31, 54]

Pass 1:
  Compare -13 and 5
  No swap needed
  Compare 5 and -29
  Swap 5 and -29
  List after swap: [-13, -29, 5, 31, 54]
  Compare 5 and 31
  No swap needed
  Compare 31 and 54
  No swap needed

Pass 2:
  Compare -13 and -29
  Swap -13 and -29
  List after swap: [-29, -13, 5, 31, 54]
  Compare -13 and 5
  No swap needed
  Compare 5 and 31
  No swap needed

Pass 3:
  Compare -29 and -13
  No swap needed
  Compare -13 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, -13, 5, 31, 54]
</think>

<response>-29, -13, 5, 31, 54</response>


input: Perform a bubble sort on the integers 44, 19, -93, -53, -11, -27, -43, 2, -17, -7, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [44, 19, -93, -53, -11, -27, -43, 2, -17, -7]

Pass 1:
  Compare 44 and 19
  Swap 44 and 19
  List after swap: [19, 44, -93, -53, -11, -27, -43, 2, -17, -7]
  Compare 44 and -93
  Swap 44 and -93
  List after swap: [19, -93, 44, -53, -11, -27, -43, 2, -17, -7]
  Compare 44 and -53
  Swap 44 and -53
  List after swap: [19, -93, -53, 44, -11, -27, -43, 2, -17, -7]
  Compare 44 and -11
  Swap 44 and -11
  List after swap: [19, -93, -53, -11, 44, -27, -43, 2, -17, -7]
  Compare 44 and -27
  Swap 44 and -27
  List after swap: [19, -93, -53, -11, -27, 44, -43, 2, -17, -7]
  Compare 44 and -43
  Swap 44 and -43
  List after swap: [19, -93, -53, -11, -27, -43, 44, 2, -17, -7]
  Compare 44 and 2
  Swap 44 and 2
  List after swap: [19, -93, -53, -11, -27, -43, 2, 44, -17, -7]
  Compare 44 and -17
  Swap 44 and -17
  List after swap: [19, -93, -53, -11, -27, -43, 2, -17, 44, -7]
  Compare 44 and -7
  Swap 44 and -7
  List after swap: [19, -93, -53, -11, -27, -43, 2, -17, -7, 44]

Pass 2:
  Compare 19 and -93
  Swap 19 and -93
  List after swap: [-93, 19, -53, -11, -27, -43, 2, -17, -7, 44]
  Compare 19 and -53
  Swap 19 and -53
  List after swap: [-93, -53, 19, -11, -27, -43, 2, -17, -7, 44]
  Compare 19 and -11
  Swap 19 and -11
  List after swap: [-93, -53, -11, 19, -27, -43, 2, -17, -7, 44]
  Compare 19 and -27
  Swap 19 and -27
  List after swap: [-93, -53, -11, -27, 19, -43, 2, -17, -7, 44]
  Compare 19 and -43
  Swap 19 and -43
  List after swap: [-93, -53, -11, -27, -43, 19, 2, -17, -7, 44]
  Compare 19 and 2
  Swap 19 and 2
  List after swap: [-93, -53, -11, -27, -43, 2, 19, -17, -7, 44]
  Compare 19 and -17
  Swap 19 and -17
  List after swap: [-93, -53, -11, -27, -43, 2, -17, 19, -7, 44]
  Compare 19 and -7
  Swap 19 and -7
  List after swap: [-93, -53, -11, -27, -43, 2, -17, -7, 19, 44]

Pass 3:
  Compare -93 and -53
  No swap needed
  Compare -53 and -11
  No swap needed
  Compare -11 and -27
  Swap -11 and -27
  List after swap: [-93, -53, -27, -11, -43, 2, -17, -7, 19, 44]
  Compare -11 and -43
  Swap -11 and -43
  List after swap: [-93, -53, -27, -43, -11, 2, -17, -7, 19, 44]
  Compare -11 and 2
  No swap needed
  Compare 2 and -17
  Swap 2 and -17
  List after swap: [-93, -53, -27, -43, -11, -17, 2, -7, 19, 44]
  Compare 2 and -7
  Swap 2 and -7
  List after swap: [-93, -53, -27, -43, -11, -17, -7, 2, 19, 44]

Pass 4:
  Compare -93 and -53
  No swap needed
  Compare -53 and -27
  No swap needed
  Compare -27 and -43
  Swap -27 and -43
  List after swap: [-93, -53, -43, -27, -11, -17, -7, 2, 19, 44]
  Compare -27 and -11
  No swap needed
  Compare -11 and -17
  Swap -11 and -17
  List after swap: [-93, -53, -43, -27, -17, -11, -7, 2, 19, 44]
  Compare -11 and -7
  No swap needed

Pass 5:
  Compare -93 and -53
  No swap needed
  Compare -53 and -43
  No swap needed
  Compare -43 and -27
  No swap needed
  Compare -27 and -17
  No swap needed
  Compare -17 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -53, -43, -27, -17, -11, -7, 2, 19, 44]
</think>

<response>-93, -53, -43, -27, -17, -11, -7, 2, 19, 44</response>


input: Perform a bubble sort on the integers 20, -68, 95, -57, -27, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [20, -68, 95, -57, -27]

Pass 1:
  Compare 20 and -68
  Swap 20 and -68
  List after swap: [-68, 20, 95, -57, -27]
  Compare 20 and 95
  No swap needed
  Compare 95 and -57
  Swap 95 and -57
  List after swap: [-68, 20, -57, 95, -27]
  Compare 95 and -27
  Swap 95 and -27
  List after swap: [-68, 20, -57, -27, 95]

Pass 2:
  Compare -68 and 20
  No swap needed
  Compare 20 and -57
  Swap 20 and -57
  List after swap: [-68, -57, 20, -27, 95]
  Compare 20 and -27
  Swap 20 and -27
  List after swap: [-68, -57, -27, 20, 95]

Pass 3:
  Compare -68 and -57
  No swap needed
  Compare -57 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -57, -27, 20, 95]
</think>

<response>-68, -57, -27, 20, 95</response>


input: Perform a bubble sort on the integers -4, -71, -96, -100, -23, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-4, -71, -96, -100, -23]

Pass 1:
  Compare -4 and -71
  Swap -4 and -71
  List after swap: [-71, -4, -96, -100, -23]
  Compare -4 and -96
  Swap -4 and -96
  List after swap: [-71, -96, -4, -100, -23]
  Compare -4 and -100
  Swap -4 and -100
  List after swap: [-71, -96, -100, -4, -23]
  Compare -4 and -23
  Swap -4 and -23
  List after swap: [-71, -96, -100, -23, -4]

Pass 2:
  Compare -71 and -96
  Swap -71 and -96
  List after swap: [-96, -71, -100, -23, -4]
  Compare -71 and -100
  Swap -71 and -100
  List after swap: [-96, -100, -71, -23, -4]
  Compare -71 and -23
  No swap needed

Pass 3:
  Compare -96 and -100
  Swap -96 and -100
  List after swap: [-100, -96, -71, -23, -4]
  Compare -96 and -71
  No swap needed

Pass 4:
  Compare -100 and -96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -96, -71, -23, -4]
</think>

<response>-100, -96, -71, -23, -4</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 58, -14, -75, 44, 13, -98, -96, 77.

output:
<think>
Initial list: [58, -14, -75, 44, 13, -98, -96, 77]

Pass 1:
  Compare 58 and -14
  Swap 58 and -14
  List after swap: [-14, 58, -75, 44, 13, -98, -96, 77]
  Compare 58 and -75
  Swap 58 and -75
  List after swap: [-14, -75, 58, 44, 13, -98, -96, 77]
  Compare 58 and 44
  Swap 58 and 44
  List after swap: [-14, -75, 44, 58, 13, -98, -96, 77]
  Compare 58 and 13
  Swap 58 and 13
  List after swap: [-14, -75, 44, 13, 58, -98, -96, 77]
  Compare 58 and -98
  Swap 58 and -98
  List after swap: [-14, -75, 44, 13, -98, 58, -96, 77]
  Compare 58 and -96
  Swap 58 and -96
  List after swap: [-14, -75, 44, 13, -98, -96, 58, 77]
  Compare 58 and 77
  No swap needed

Pass 2:
  Compare -14 and -75
  Swap -14 and -75
  List after swap: [-75, -14, 44, 13, -98, -96, 58, 77]
  Compare -14 and 44
  No swap needed
  Compare 44 and 13
  Swap 44 and 13
  List after swap: [-75, -14, 13, 44, -98, -96, 58, 77]
  Compare 44 and -98
  Swap 44 and -98
  List after swap: [-75, -14, 13, -98, 44, -96, 58, 77]
  Compare 44 and -96
  Swap 44 and -96
  List after swap: [-75, -14, 13, -98, -96, 44, 58, 77]
  Compare 44 and 58
  No swap needed

Pass 3:
  Compare -75 and -14
  No swap needed
  Compare -14 and 13
  No swap needed
  Compare 13 and -98
  Swap 13 and -98
  List after swap: [-75, -14, -98, 13, -96, 44, 58, 77]
  Compare 13 and -96
  Swap 13 and -96
  List after swap: [-75, -14, -98, -96, 13, 44, 58, 77]
  Compare 13 and 44
  No swap needed

Pass 4:
  Compare -75 and -14
  No swap needed
  Compare -14 and -98
  Swap -14 and -98
  List after swap: [-75, -98, -14, -96, 13, 44, 58, 77]
  Compare -14 and -96
  Swap -14 and -96
  List after swap: [-75, -98, -96, -14, 13, 44, 58, 77]
  Compare -14 and 13
  No swap needed

Pass 5:
  Compare -75 and -98
  Swap -75 and -98
  List after swap: [-98, -75, -96, -14, 13, 44, 58, 77]
  Compare -75 and -96
  Swap -75 and -96
  List after swap: [-98, -96, -75, -14, 13, 44, 58, 77]
  Compare -75 and -14
  No swap needed

Pass 6:
  Compare -98 and -96
  No swap needed
  Compare -96 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -96, -75, -14, 13, 44, 58, 77]
</think>

<response>-98, -96, -75, -14, 13, 44, 58, 77</response>


input: Use the bubble sort technique to reorder -45, 82, -4, -83 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-45, 82, -4, -83]

Pass 1:
  Compare -45 and 82
  No swap needed
  Compare 82 and -4
  Swap 82 and -4
  List after swap: [-45, -4, 82, -83]
  Compare 82 and -83
  Swap 82 and -83
  List after swap: [-45, -4, -83, 82]

Pass 2:
  Compare -45 and -4
  No swap needed
  Compare -4 and -83
  Swap -4 and -83
  List after swap: [-45, -83, -4, 82]

Pass 3:
  Compare -45 and -83
  Swap -45 and -83
  List after swap: [-83, -45, -4, 82]

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

Final sorted list: [-83, -45, -4, 82]
</think>

<response>-83, -45, -4, 82</response>


input: Perform a bubble sort on the integers 49, -15, 43, 90, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [49, -15, 43, 90]

Pass 1:
  Compare 49 and -15
  Swap 49 and -15
  List after swap: [-15, 49, 43, 90]
  Compare 49 and 43
  Swap 49 and 43
  List after swap: [-15, 43, 49, 90]
  Compare 49 and 90
  No swap needed

Pass 2:
  Compare -15 and 43
  No swap needed
  Compare 43 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, 43, 49, 90]
</think>

<response>-15, 43, 49, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -32, 75, 9, -79, -49, -76, -9, -96.

output:
<think>
Initial list: [-32, 75, 9, -79, -49, -76, -9, -96]

Pass 1:
  Compare -32 and 75
  No swap needed
  Compare 75 and 9
  Swap 75 and 9
  List after swap: [-32, 9, 75, -79, -49, -76, -9, -96]
  Compare 75 and -79
  Swap 75 and -79
  List after swap: [-32, 9, -79, 75, -49, -76, -9, -96]
  Compare 75 and -49
  Swap 75 and -49
  List after swap: [-32, 9, -79, -49, 75, -76, -9, -96]
  Compare 75 and -76
  Swap 75 and -76
  List after swap: [-32, 9, -79, -49, -76, 75, -9, -96]
  Compare 75 and -9
  Swap 75 and -9
  List after swap: [-32, 9, -79, -49, -76, -9, 75, -96]
  Compare 75 and -96
  Swap 75 and -96
  List after swap: [-32, 9, -79, -49, -76, -9, -96, 75]

Pass 2:
  Compare -32 and 9
  No swap needed
  Compare 9 and -79
  Swap 9 and -79
  List after swap: [-32, -79, 9, -49, -76, -9, -96, 75]
  Compare 9 and -49
  Swap 9 and -49
  List after swap: [-32, -79, -49, 9, -76, -9, -96, 75]
  Compare 9 and -76
  Swap 9 and -76
  List after swap: [-32, -79, -49, -76, 9, -9, -96, 75]
  Compare 9 and -9
  Swap 9 and -9
  List after swap: [-32, -79, -49, -76, -9, 9, -96, 75]
  Compare 9 and -96
  Swap 9 and -96
  List after swap: [-32, -79, -49, -76, -9, -96, 9, 75]

Pass 3:
  Compare -32 and -79
  Swap -32 and -79
  List after swap: [-79, -32, -49, -76, -9, -96, 9, 75]
  Compare -32 and -49
  Swap -32 and -49
  List after swap: [-79, -49, -32, -76, -9, -96, 9, 75]
  Compare -32 and -76
  Swap -32 and -76
  List after swap: [-79, -49, -76, -32, -9, -96, 9, 75]
  Compare -32 and -9
  No swap needed
  Compare -9 and -96
  Swap -9 and -96
  List after swap: [-79, -49, -76, -32, -96, -9, 9, 75]

Pass 4:
  Compare -79 and -49
  No swap needed
  Compare -49 and -76
  Swap -49 and -76
  List after swap: [-79, -76, -49, -32, -96, -9, 9, 75]
  Compare -49 and -32
  No swap needed
  Compare -32 and -96
  Swap -32 and -96
  List after swap: [-79, -76, -49, -96, -32, -9, 9, 75]

Pass 5:
  Compare -79 and -76
  No swap needed
  Compare -76 and -49
  No swap needed
  Compare -49 and -96
  Swap -49 and -96
  List after swap: [-79, -76, -96, -49, -32, -9, 9, 75]

Pass 6:
  Compare -79 and -76
  No swap needed
  Compare -76 and -96
  Swap -76 and -96
  List after swap: [-79, -96, -76, -49, -32, -9, 9, 75]

Pass 7:
  Compare -79 and -96
  Swap -79 and -96
  List after swap: [-96, -79, -76, -49, -32, -9, 9, 75]

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

Final sorted list: [-96, -79, -76, -49, -32, -9, 9, 75]
</think>

<response>-96, -79, -76, -49, -32, -9, 9, 75</response>


input: Arrange the numbers 34, -79, 47, 46 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [34, -79, 47, 46]

Pass 1:
  Compare 34 and -79
  Swap 34 and -79
  List after swap: [-79, 34, 47, 46]
  Compare 34 and 47
  No swap needed
  Compare 47 and 46
  Swap 47 and 46
  List after swap: [-79, 34, 46, 47]

Pass 2:
  Compare -79 and 34
  No swap needed
  Compare 34 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, 34, 46, 47]
</think>

<response>-79, 34, 46, 47</response>


input: Carry out the bubble sort algorithm on -89, -68, -94, 67, -76, -52, 35 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-89, -68, -94, 67, -76, -52, 35]

Pass 1:
  Compare -89 and -68
  No swap needed
  Compare -68 and -94
  Swap -68 and -94
  List after swap: [-89, -94, -68, 67, -76, -52, 35]
  Compare -68 and 67
  No swap needed
  Compare 67 and -76
  Swap 67 and -76
  List after swap: [-89, -94, -68, -76, 67, -52, 35]
  Compare 67 and -52
  Swap 67 and -52
  List after swap: [-89, -94, -68, -76, -52, 67, 35]
  Compare 67 and 35
  Swap 67 and 35
  List after swap: [-89, -94, -68, -76, -52, 35, 67]

Pass 2:
  Compare -89 and -94
  Swap -89 and -94
  List after swap: [-94, -89, -68, -76, -52, 35, 67]
  Compare -89 and -68
  No swap needed
  Compare -68 and -76
  Swap -68 and -76
  List after swap: [-94, -89, -76, -68, -52, 35, 67]
  Compare -68 and -52
  No swap needed
  Compare -52 and 35
  No swap needed

Pass 3:
  Compare -94 and -89
  No swap needed
  Compare -89 and -76
  No swap needed
  Compare -76 and -68
  No swap needed
  Compare -68 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -89, -76, -68, -52, 35, 67]
</think>

<response>-94, -89, -76, -68, -52, 35, 67</response>


input: Using the bubble sort method, sort 92, -18, 25 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [92, -18, 25]

Pass 1:
  Compare 92 and -18
  Swap 92 and -18
  List after swap: [-18, 92, 25]
  Compare 92 and 25
  Swap 92 and 25
  List after swap: [-18, 25, 92]

Pass 2:
  Compare -18 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-18, 25, 92]
</think>

<response>-18, 25, 92</response>


input: Using the bubble sort method, sort 32, -99, 41, 58, 61, -71, 6 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [32, -99, 41, 58, 61, -71, 6]

Pass 1:
  Compare 32 and -99
  Swap 32 and -99
  List after swap: [-99, 32, 41, 58, 61, -71, 6]
  Compare 32 and 41
  No swap needed
  Compare 41 and 58
  No swap needed
  Compare 58 and 61
  No swap needed
  Compare 61 and -71
  Swap 61 and -71
  List after swap: [-99, 32, 41, 58, -71, 61, 6]
  Compare 61 and 6
  Swap 61 and 6
  List after swap: [-99, 32, 41, 58, -71, 6, 61]

Pass 2:
  Compare -99 and 32
  No swap needed
  Compare 32 and 41
  No swap needed
  Compare 41 and 58
  No swap needed
  Compare 58 and -71
  Swap 58 and -71
  List after swap: [-99, 32, 41, -71, 58, 6, 61]
  Compare 58 and 6
  Swap 58 and 6
  List after swap: [-99, 32, 41, -71, 6, 58, 61]

Pass 3:
  Compare -99 and 32
  No swap needed
  Compare 32 and 41
  No swap needed
  Compare 41 and -71
  Swap 41 and -71
  List after swap: [-99, 32, -71, 41, 6, 58, 61]
  Compare 41 and 6
  Swap 41 and 6
  List after swap: [-99, 32, -71, 6, 41, 58, 61]

Pass 4:
  Compare -99 and 32
  No swap needed
  Compare 32 and -71
  Swap 32 and -71
  List after swap: [-99, -71, 32, 6, 41, 58, 61]
  Compare 32 and 6
  Swap 32 and 6
  List after swap: [-99, -71, 6, 32, 41, 58, 61]

Pass 5:
  Compare -99 and -71
  No swap needed
  Compare -71 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -71, 6, 32, 41, 58, 61]
</think>

<response>-99, -71, 6, 32, 41, 58, 61</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 21, 34, 24, -92, 47, 84, 23, 27.

output:
<think>
Initial list: [21, 34, 24, -92, 47, 84, 23, 27]

Pass 1:
  Compare 21 and 34
  No swap needed
  Compare 34 and 24
  Swap 34 and 24
  List after swap: [21, 24, 34, -92, 47, 84, 23, 27]
  Compare 34 and -92
  Swap 34 and -92
  List after swap: [21, 24, -92, 34, 47, 84, 23, 27]
  Compare 34 and 47
  No swap needed
  Compare 47 and 84
  No swap needed
  Compare 84 and 23
  Swap 84 and 23
  List after swap: [21, 24, -92, 34, 47, 23, 84, 27]
  Compare 84 and 27
  Swap 84 and 27
  List after swap: [21, 24, -92, 34, 47, 23, 27, 84]

Pass 2:
  Compare 21 and 24
  No swap needed
  Compare 24 and -92
  Swap 24 and -92
  List after swap: [21, -92, 24, 34, 47, 23, 27, 84]
  Compare 24 and 34
  No swap needed
  Compare 34 and 47
  No swap needed
  Compare 47 and 23
  Swap 47 and 23
  List after swap: [21, -92, 24, 34, 23, 47, 27, 84]
  Compare 47 and 27
  Swap 47 and 27
  List after swap: [21, -92, 24, 34, 23, 27, 47, 84]

Pass 3:
  Compare 21 and -92
  Swap 21 and -92
  List after swap: [-92, 21, 24, 34, 23, 27, 47, 84]
  Compare 21 and 24
  No swap needed
  Compare 24 and 34
  No swap needed
  Compare 34 and 23
  Swap 34 and 23
  List after swap: [-92, 21, 24, 23, 34, 27, 47, 84]
  Compare 34 and 27
  Swap 34 and 27
  List after swap: [-92, 21, 24, 23, 27, 34, 47, 84]

Pass 4:
  Compare -92 and 21
  No swap needed
  Compare 21 and 24
  No swap needed
  Compare 24 and 23
  Swap 24 and 23
  List after swap: [-92, 21, 23, 24, 27, 34, 47, 84]
  Compare 24 and 27
  No swap needed

Pass 5:
  Compare -92 and 21
  No swap needed
  Compare 21 and 23
  No swap needed
  Compare 23 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 21, 23, 24, 27, 34, 47, 84]
</think>

<response>-92, 21, 23, 24, 27, 34, 47, 84</response>


input: Arrange the numbers 54, 78, 92, 39, -65 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [54, 78, 92, 39, -65]

Pass 1:
  Compare 54 and 78
  No swap needed
  Compare 78 and 92
  No swap needed
  Compare 92 and 39
  Swap 92 and 39
  List after swap: [54, 78, 39, 92, -65]
  Compare 92 and -65
  Swap 92 and -65
  List after swap: [54, 78, 39, -65, 92]

Pass 2:
  Compare 54 and 78
  No swap needed
  Compare 78 and 39
  Swap 78 and 39
  List after swap: [54, 39, 78, -65, 92]
  Compare 78 and -65
  Swap 78 and -65
  List after swap: [54, 39, -65, 78, 92]

Pass 3:
  Compare 54 and 39
  Swap 54 and 39
  List after swap: [39, 54, -65, 78, 92]
  Compare 54 and -65
  Swap 54 and -65
  List after swap: [39, -65, 54, 78, 92]

Pass 4:
  Compare 39 and -65
  Swap 39 and -65
  List after swap: [-65, 39, 54, 78, 92]

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

Final sorted list: [-65, 39, 54, 78, 92]
</think>

<response>-65, 39, 54, 78, 92</response>


input: Execute bubble sort to sort 74, -30, 10, 22, 31, 41, 4, -21, 1 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [74, -30, 10, 22, 31, 41, 4, -21, 1]

Pass 1:
  Compare 74 and -30
  Swap 74 and -30
  List after swap: [-30, 74, 10, 22, 31, 41, 4, -21, 1]
  Compare 74 and 10
  Swap 74 and 10
  List after swap: [-30, 10, 74, 22, 31, 41, 4, -21, 1]
  Compare 74 and 22
  Swap 74 and 22
  List after swap: [-30, 10, 22, 74, 31, 41, 4, -21, 1]
  Compare 74 and 31
  Swap 74 and 31
  List after swap: [-30, 10, 22, 31, 74, 41, 4, -21, 1]
  Compare 74 and 41
  Swap 74 and 41
  List after swap: [-30, 10, 22, 31, 41, 74, 4, -21, 1]
  Compare 74 and 4
  Swap 74 and 4
  List after swap: [-30, 10, 22, 31, 41, 4, 74, -21, 1]
  Compare 74 and -21
  Swap 74 and -21
  List after swap: [-30, 10, 22, 31, 41, 4, -21, 74, 1]
  Compare 74 and 1
  Swap 74 and 1
  List after swap: [-30, 10, 22, 31, 41, 4, -21, 1, 74]

Pass 2:
  Compare -30 and 10
  No swap needed
  Compare 10 and 22
  No swap needed
  Compare 22 and 31
  No swap needed
  Compare 31 and 41
  No swap needed
  Compare 41 and 4
  Swap 41 and 4
  List after swap: [-30, 10, 22, 31, 4, 41, -21, 1, 74]
  Compare 41 and -21
  Swap 41 and -21
  List after swap: [-30, 10, 22, 31, 4, -21, 41, 1, 74]
  Compare 41 and 1
  Swap 41 and 1
  List after swap: [-30, 10, 22, 31, 4, -21, 1, 41, 74]

Pass 3:
  Compare -30 and 10
  No swap needed
  Compare 10 and 22
  No swap needed
  Compare 22 and 31
  No swap needed
  Compare 31 and 4
  Swap 31 and 4
  List after swap: [-30, 10, 22, 4, 31, -21, 1, 41, 74]
  Compare 31 and -21
  Swap 31 and -21
  List after swap: [-30, 10, 22, 4, -21, 31, 1, 41, 74]
  Compare 31 and 1
  Swap 31 and 1
  List after swap: [-30, 10, 22, 4, -21, 1, 31, 41, 74]

Pass 4:
  Compare -30 and 10
  No swap needed
  Compare 10 and 22
  No swap needed
  Compare 22 and 4
  Swap 22 and 4
  List after swap: [-30, 10, 4, 22, -21, 1, 31, 41, 74]
  Compare 22 and -21
  Swap 22 and -21
  List after swap: [-30, 10, 4, -21, 22, 1, 31, 41, 74]
  Compare 22 and 1
  Swap 22 and 1
  List after swap: [-30, 10, 4, -21, 1, 22, 31, 41, 74]

Pass 5:
  Compare -30 and 10
  No swap needed
  Compare 10 and 4
  Swap 10 and 4
  List after swap: [-30, 4, 10, -21, 1, 22, 31, 41, 74]
  Compare 10 and -21
  Swap 10 and -21
  List after swap: [-30, 4, -21, 10, 1, 22, 31, 41, 74]
  Compare 10 and 1
  Swap 10 and 1
  List after swap: [-30, 4, -21, 1, 10, 22, 31, 41, 74]

Pass 6:
  Compare -30 and 4
  No swap needed
  Compare 4 and -21
  Swap 4 and -21
  List after swap: [-30, -21, 4, 1, 10, 22, 31, 41, 74]
  Compare 4 and 1
  Swap 4 and 1
  List after swap: [-30, -21, 1, 4, 10, 22, 31, 41, 74]

Pass 7:
  Compare -30 and -21
  No swap needed
  Compare -21 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -21, 1, 4, 10, 22, 31, 41, 74]
</think>

<response>-30, -21, 1, 4, 10, 22, 31, 41, 74</response>


input: Sort the list -14, 50 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-14, 50]

Pass 1:
  Compare -14 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-14, 50]
</think>

<response>-14, 50</response>


input: Using the bubble sort method, sort -17, -83 from lowest to highest and provide a step-by-step breakdown.

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

Pass 1:
  Compare -17 and -83
  Swap -17 and -83
  List after swap: [-83, -17]

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

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

<response>-83, -17</response>


input: Demonstrate how bubble sort orders the integers 38, 54, 2, -79, -77 in ascending sequence, showing all steps.

output:
<think>
Initial list: [38, 54, 2, -79, -77]

Pass 1:
  Compare 38 and 54
  No swap needed
  Compare 54 and 2
  Swap 54 and 2
  List after swap: [38, 2, 54, -79, -77]
  Compare 54 and -79
  Swap 54 and -79
  List after swap: [38, 2, -79, 54, -77]
  Compare 54 and -77
  Swap 54 and -77
  List after swap: [38, 2, -79, -77, 54]

Pass 2:
  Compare 38 and 2
  Swap 38 and 2
  List after swap: [2, 38, -79, -77, 54]
  Compare 38 and -79
  Swap 38 and -79
  List after swap: [2, -79, 38, -77, 54]
  Compare 38 and -77
  Swap 38 and -77
  List after swap: [2, -79, -77, 38, 54]

Pass 3:
  Compare 2 and -79
  Swap 2 and -79
  List after swap: [-79, 2, -77, 38, 54]
  Compare 2 and -77
  Swap 2 and -77
  List after swap: [-79, -77, 2, 38, 54]

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

Final sorted list: [-79, -77, 2, 38, 54]
</think>

<response>-79, -77, 2, 38, 54</response>


input: Use the bubble sort technique to reorder -74, -41, -73, -71, 99, 82, 13 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-74, -41, -73, -71, 99, 82, 13]

Pass 1:
  Compare -74 and -41
  No swap needed
  Compare -41 and -73
  Swap -41 and -73
  List after swap: [-74, -73, -41, -71, 99, 82, 13]
  Compare -41 and -71
  Swap -41 and -71
  List after swap: [-74, -73, -71, -41, 99, 82, 13]
  Compare -41 and 99
  No swap needed
  Compare 99 and 82
  Swap 99 and 82
  List after swap: [-74, -73, -71, -41, 82, 99, 13]
  Compare 99 and 13
  Swap 99 and 13
  List after swap: [-74, -73, -71, -41, 82, 13, 99]

Pass 2:
  Compare -74 and -73
  No swap needed
  Compare -73 and -71
  No swap needed
  Compare -71 and -41
  No swap needed
  Compare -41 and 82
  No swap needed
  Compare 82 and 13
  Swap 82 and 13
  List after swap: [-74, -73, -71, -41, 13, 82, 99]

Pass 3:
  Compare -74 and -73
  No swap needed
  Compare -73 and -71
  No swap needed
  Compare -71 and -41
  No swap needed
  Compare -41 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -73, -71, -41, 13, 82, 99]
</think>

<response>-74, -73, -71, -41, 13, 82, 99</response>