input: Use the bubble sort technique to reorder 54, 61, -34, 6, -40, -55, 97, 33, -72 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [54, 61, -34, 6, -40, -55, 97, 33, -72]

Pass 1:
  Compare 54 and 61
  No swap needed
  Compare 61 and -34
  Swap 61 and -34
  List after swap: [54, -34, 61, 6, -40, -55, 97, 33, -72]
  Compare 61 and 6
  Swap 61 and 6
  List after swap: [54, -34, 6, 61, -40, -55, 97, 33, -72]
  Compare 61 and -40
  Swap 61 and -40
  List after swap: [54, -34, 6, -40, 61, -55, 97, 33, -72]
  Compare 61 and -55
  Swap 61 and -55
  List after swap: [54, -34, 6, -40, -55, 61, 97, 33, -72]
  Compare 61 and 97
  No swap needed
  Compare 97 and 33
  Swap 97 and 33
  List after swap: [54, -34, 6, -40, -55, 61, 33, 97, -72]
  Compare 97 and -72
  Swap 97 and -72
  List after swap: [54, -34, 6, -40, -55, 61, 33, -72, 97]

Pass 2:
  Compare 54 and -34
  Swap 54 and -34
  List after swap: [-34, 54, 6, -40, -55, 61, 33, -72, 97]
  Compare 54 and 6
  Swap 54 and 6
  List after swap: [-34, 6, 54, -40, -55, 61, 33, -72, 97]
  Compare 54 and -40
  Swap 54 and -40
  List after swap: [-34, 6, -40, 54, -55, 61, 33, -72, 97]
  Compare 54 and -55
  Swap 54 and -55
  List after swap: [-34, 6, -40, -55, 54, 61, 33, -72, 97]
  Compare 54 and 61
  No swap needed
  Compare 61 and 33
  Swap 61 and 33
  List after swap: [-34, 6, -40, -55, 54, 33, 61, -72, 97]
  Compare 61 and -72
  Swap 61 and -72
  List after swap: [-34, 6, -40, -55, 54, 33, -72, 61, 97]

Pass 3:
  Compare -34 and 6
  No swap needed
  Compare 6 and -40
  Swap 6 and -40
  List after swap: [-34, -40, 6, -55, 54, 33, -72, 61, 97]
  Compare 6 and -55
  Swap 6 and -55
  List after swap: [-34, -40, -55, 6, 54, 33, -72, 61, 97]
  Compare 6 and 54
  No swap needed
  Compare 54 and 33
  Swap 54 and 33
  List after swap: [-34, -40, -55, 6, 33, 54, -72, 61, 97]
  Compare 54 and -72
  Swap 54 and -72
  List after swap: [-34, -40, -55, 6, 33, -72, 54, 61, 97]

Pass 4:
  Compare -34 and -40
  Swap -34 and -40
  List after swap: [-40, -34, -55, 6, 33, -72, 54, 61, 97]
  Compare -34 and -55
  Swap -34 and -55
  List after swap: [-40, -55, -34, 6, 33, -72, 54, 61, 97]
  Compare -34 and 6
  No swap needed
  Compare 6 and 33
  No swap needed
  Compare 33 and -72
  Swap 33 and -72
  List after swap: [-40, -55, -34, 6, -72, 33, 54, 61, 97]

Pass 5:
  Compare -40 and -55
  Swap -40 and -55
  List after swap: [-55, -40, -34, 6, -72, 33, 54, 61, 97]
  Compare -40 and -34
  No swap needed
  Compare -34 and 6
  No swap needed
  Compare 6 and -72
  Swap 6 and -72
  List after swap: [-55, -40, -34, -72, 6, 33, 54, 61, 97]

Pass 6:
  Compare -55 and -40
  No swap needed
  Compare -40 and -34
  No swap needed
  Compare -34 and -72
  Swap -34 and -72
  List after swap: [-55, -40, -72, -34, 6, 33, 54, 61, 97]

Pass 7:
  Compare -55 and -40
  No swap needed
  Compare -40 and -72
  Swap -40 and -72
  List after swap: [-55, -72, -40, -34, 6, 33, 54, 61, 97]

Pass 8:
  Compare -55 and -72
  Swap -55 and -72
  List after swap: [-72, -55, -40, -34, 6, 33, 54, 61, 97]

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

Final sorted list: [-72, -55, -40, -34, 6, 33, 54, 61, 97]
</think>

<response>-72, -55, -40, -34, 6, 33, 54, 61, 97</response>


input: Arrange the numbers -56, 20, -27, 62, 71, 89, 70, -99, 6 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-56, 20, -27, 62, 71, 89, 70, -99, 6]

Pass 1:
  Compare -56 and 20
  No swap needed
  Compare 20 and -27
  Swap 20 and -27
  List after swap: [-56, -27, 20, 62, 71, 89, 70, -99, 6]
  Compare 20 and 62
  No swap needed
  Compare 62 and 71
  No swap needed
  Compare 71 and 89
  No swap needed
  Compare 89 and 70
  Swap 89 and 70
  List after swap: [-56, -27, 20, 62, 71, 70, 89, -99, 6]
  Compare 89 and -99
  Swap 89 and -99
  List after swap: [-56, -27, 20, 62, 71, 70, -99, 89, 6]
  Compare 89 and 6
  Swap 89 and 6
  List after swap: [-56, -27, 20, 62, 71, 70, -99, 6, 89]

Pass 2:
  Compare -56 and -27
  No swap needed
  Compare -27 and 20
  No swap needed
  Compare 20 and 62
  No swap needed
  Compare 62 and 71
  No swap needed
  Compare 71 and 70
  Swap 71 and 70
  List after swap: [-56, -27, 20, 62, 70, 71, -99, 6, 89]
  Compare 71 and -99
  Swap 71 and -99
  List after swap: [-56, -27, 20, 62, 70, -99, 71, 6, 89]
  Compare 71 and 6
  Swap 71 and 6
  List after swap: [-56, -27, 20, 62, 70, -99, 6, 71, 89]

Pass 3:
  Compare -56 and -27
  No swap needed
  Compare -27 and 20
  No swap needed
  Compare 20 and 62
  No swap needed
  Compare 62 and 70
  No swap needed
  Compare 70 and -99
  Swap 70 and -99
  List after swap: [-56, -27, 20, 62, -99, 70, 6, 71, 89]
  Compare 70 and 6
  Swap 70 and 6
  List after swap: [-56, -27, 20, 62, -99, 6, 70, 71, 89]

Pass 4:
  Compare -56 and -27
  No swap needed
  Compare -27 and 20
  No swap needed
  Compare 20 and 62
  No swap needed
  Compare 62 and -99
  Swap 62 and -99
  List after swap: [-56, -27, 20, -99, 62, 6, 70, 71, 89]
  Compare 62 and 6
  Swap 62 and 6
  List after swap: [-56, -27, 20, -99, 6, 62, 70, 71, 89]

Pass 5:
  Compare -56 and -27
  No swap needed
  Compare -27 and 20
  No swap needed
  Compare 20 and -99
  Swap 20 and -99
  List after swap: [-56, -27, -99, 20, 6, 62, 70, 71, 89]
  Compare 20 and 6
  Swap 20 and 6
  List after swap: [-56, -27, -99, 6, 20, 62, 70, 71, 89]

Pass 6:
  Compare -56 and -27
  No swap needed
  Compare -27 and -99
  Swap -27 and -99
  List after swap: [-56, -99, -27, 6, 20, 62, 70, 71, 89]
  Compare -27 and 6
  No swap needed

Pass 7:
  Compare -56 and -99
  Swap -56 and -99
  List after swap: [-99, -56, -27, 6, 20, 62, 70, 71, 89]
  Compare -56 and -27
  No swap needed

Pass 8:
  Compare -99 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -56, -27, 6, 20, 62, 70, 71, 89]
</think>

<response>-99, -56, -27, 6, 20, 62, 70, 71, 89</response>


input: Sort these integers 62, -3, 25 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [62, -3, 25]

Pass 1:
  Compare 62 and -3
  Swap 62 and -3
  List after swap: [-3, 62, 25]
  Compare 62 and 25
  Swap 62 and 25
  List after swap: [-3, 25, 62]

Pass 2:
  Compare -3 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-3, 25, 62]
</think>

<response>-3, 25, 62</response>


input: Arrange the numbers 98, -15, -44, 46, -6, 84, 9, 78, 95, 16 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [98, -15, -44, 46, -6, 84, 9, 78, 95, 16]

Pass 1:
  Compare 98 and -15
  Swap 98 and -15
  List after swap: [-15, 98, -44, 46, -6, 84, 9, 78, 95, 16]
  Compare 98 and -44
  Swap 98 and -44
  List after swap: [-15, -44, 98, 46, -6, 84, 9, 78, 95, 16]
  Compare 98 and 46
  Swap 98 and 46
  List after swap: [-15, -44, 46, 98, -6, 84, 9, 78, 95, 16]
  Compare 98 and -6
  Swap 98 and -6
  List after swap: [-15, -44, 46, -6, 98, 84, 9, 78, 95, 16]
  Compare 98 and 84
  Swap 98 and 84
  List after swap: [-15, -44, 46, -6, 84, 98, 9, 78, 95, 16]
  Compare 98 and 9
  Swap 98 and 9
  List after swap: [-15, -44, 46, -6, 84, 9, 98, 78, 95, 16]
  Compare 98 and 78
  Swap 98 and 78
  List after swap: [-15, -44, 46, -6, 84, 9, 78, 98, 95, 16]
  Compare 98 and 95
  Swap 98 and 95
  List after swap: [-15, -44, 46, -6, 84, 9, 78, 95, 98, 16]
  Compare 98 and 16
  Swap 98 and 16
  List after swap: [-15, -44, 46, -6, 84, 9, 78, 95, 16, 98]

Pass 2:
  Compare -15 and -44
  Swap -15 and -44
  List after swap: [-44, -15, 46, -6, 84, 9, 78, 95, 16, 98]
  Compare -15 and 46
  No swap needed
  Compare 46 and -6
  Swap 46 and -6
  List after swap: [-44, -15, -6, 46, 84, 9, 78, 95, 16, 98]
  Compare 46 and 84
  No swap needed
  Compare 84 and 9
  Swap 84 and 9
  List after swap: [-44, -15, -6, 46, 9, 84, 78, 95, 16, 98]
  Compare 84 and 78
  Swap 84 and 78
  List after swap: [-44, -15, -6, 46, 9, 78, 84, 95, 16, 98]
  Compare 84 and 95
  No swap needed
  Compare 95 and 16
  Swap 95 and 16
  List after swap: [-44, -15, -6, 46, 9, 78, 84, 16, 95, 98]

Pass 3:
  Compare -44 and -15
  No swap needed
  Compare -15 and -6
  No swap needed
  Compare -6 and 46
  No swap needed
  Compare 46 and 9
  Swap 46 and 9
  List after swap: [-44, -15, -6, 9, 46, 78, 84, 16, 95, 98]
  Compare 46 and 78
  No swap needed
  Compare 78 and 84
  No swap needed
  Compare 84 and 16
  Swap 84 and 16
  List after swap: [-44, -15, -6, 9, 46, 78, 16, 84, 95, 98]

Pass 4:
  Compare -44 and -15
  No swap needed
  Compare -15 and -6
  No swap needed
  Compare -6 and 9
  No swap needed
  Compare 9 and 46
  No swap needed
  Compare 46 and 78
  No swap needed
  Compare 78 and 16
  Swap 78 and 16
  List after swap: [-44, -15, -6, 9, 46, 16, 78, 84, 95, 98]

Pass 5:
  Compare -44 and -15
  No swap needed
  Compare -15 and -6
  No swap needed
  Compare -6 and 9
  No swap needed
  Compare 9 and 46
  No swap needed
  Compare 46 and 16
  Swap 46 and 16
  List after swap: [-44, -15, -6, 9, 16, 46, 78, 84, 95, 98]

Pass 6:
  Compare -44 and -15
  No swap needed
  Compare -15 and -6
  No swap needed
  Compare -6 and 9
  No swap needed
  Compare 9 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, -15, -6, 9, 16, 46, 78, 84, 95, 98]
</think>

<response>-44, -15, -6, 9, 16, 46, 78, 84, 95, 98</response>


input: Arrange the numbers -4, -19, 12, 75, -11, 44, 96, -73, 23, 13 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-4, -19, 12, 75, -11, 44, 96, -73, 23, 13]

Pass 1:
  Compare -4 and -19
  Swap -4 and -19
  List after swap: [-19, -4, 12, 75, -11, 44, 96, -73, 23, 13]
  Compare -4 and 12
  No swap needed
  Compare 12 and 75
  No swap needed
  Compare 75 and -11
  Swap 75 and -11
  List after swap: [-19, -4, 12, -11, 75, 44, 96, -73, 23, 13]
  Compare 75 and 44
  Swap 75 and 44
  List after swap: [-19, -4, 12, -11, 44, 75, 96, -73, 23, 13]
  Compare 75 and 96
  No swap needed
  Compare 96 and -73
  Swap 96 and -73
  List after swap: [-19, -4, 12, -11, 44, 75, -73, 96, 23, 13]
  Compare 96 and 23
  Swap 96 and 23
  List after swap: [-19, -4, 12, -11, 44, 75, -73, 23, 96, 13]
  Compare 96 and 13
  Swap 96 and 13
  List after swap: [-19, -4, 12, -11, 44, 75, -73, 23, 13, 96]

Pass 2:
  Compare -19 and -4
  No swap needed
  Compare -4 and 12
  No swap needed
  Compare 12 and -11
  Swap 12 and -11
  List after swap: [-19, -4, -11, 12, 44, 75, -73, 23, 13, 96]
  Compare 12 and 44
  No swap needed
  Compare 44 and 75
  No swap needed
  Compare 75 and -73
  Swap 75 and -73
  List after swap: [-19, -4, -11, 12, 44, -73, 75, 23, 13, 96]
  Compare 75 and 23
  Swap 75 and 23
  List after swap: [-19, -4, -11, 12, 44, -73, 23, 75, 13, 96]
  Compare 75 and 13
  Swap 75 and 13
  List after swap: [-19, -4, -11, 12, 44, -73, 23, 13, 75, 96]

Pass 3:
  Compare -19 and -4
  No swap needed
  Compare -4 and -11
  Swap -4 and -11
  List after swap: [-19, -11, -4, 12, 44, -73, 23, 13, 75, 96]
  Compare -4 and 12
  No swap needed
  Compare 12 and 44
  No swap needed
  Compare 44 and -73
  Swap 44 and -73
  List after swap: [-19, -11, -4, 12, -73, 44, 23, 13, 75, 96]
  Compare 44 and 23
  Swap 44 and 23
  List after swap: [-19, -11, -4, 12, -73, 23, 44, 13, 75, 96]
  Compare 44 and 13
  Swap 44 and 13
  List after swap: [-19, -11, -4, 12, -73, 23, 13, 44, 75, 96]

Pass 4:
  Compare -19 and -11
  No swap needed
  Compare -11 and -4
  No swap needed
  Compare -4 and 12
  No swap needed
  Compare 12 and -73
  Swap 12 and -73
  List after swap: [-19, -11, -4, -73, 12, 23, 13, 44, 75, 96]
  Compare 12 and 23
  No swap needed
  Compare 23 and 13
  Swap 23 and 13
  List after swap: [-19, -11, -4, -73, 12, 13, 23, 44, 75, 96]

Pass 5:
  Compare -19 and -11
  No swap needed
  Compare -11 and -4
  No swap needed
  Compare -4 and -73
  Swap -4 and -73
  List after swap: [-19, -11, -73, -4, 12, 13, 23, 44, 75, 96]
  Compare -4 and 12
  No swap needed
  Compare 12 and 13
  No swap needed

Pass 6:
  Compare -19 and -11
  No swap needed
  Compare -11 and -73
  Swap -11 and -73
  List after swap: [-19, -73, -11, -4, 12, 13, 23, 44, 75, 96]
  Compare -11 and -4
  No swap needed
  Compare -4 and 12
  No swap needed

Pass 7:
  Compare -19 and -73
  Swap -19 and -73
  List after swap: [-73, -19, -11, -4, 12, 13, 23, 44, 75, 96]
  Compare -19 and -11
  No swap needed
  Compare -11 and -4
  No swap needed

Pass 8:
  Compare -73 and -19
  No swap needed
  Compare -19 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -19, -11, -4, 12, 13, 23, 44, 75, 96]
</think>

<response>-73, -19, -11, -4, 12, 13, 23, 44, 75, 96</response>


input: Using the bubble sort method, sort 3, 19, -59, -54, -32 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [3, 19, -59, -54, -32]

Pass 1:
  Compare 3 and 19
  No swap needed
  Compare 19 and -59
  Swap 19 and -59
  List after swap: [3, -59, 19, -54, -32]
  Compare 19 and -54
  Swap 19 and -54
  List after swap: [3, -59, -54, 19, -32]
  Compare 19 and -32
  Swap 19 and -32
  List after swap: [3, -59, -54, -32, 19]

Pass 2:
  Compare 3 and -59
  Swap 3 and -59
  List after swap: [-59, 3, -54, -32, 19]
  Compare 3 and -54
  Swap 3 and -54
  List after swap: [-59, -54, 3, -32, 19]
  Compare 3 and -32
  Swap 3 and -32
  List after swap: [-59, -54, -32, 3, 19]

Pass 3:
  Compare -59 and -54
  No swap needed
  Compare -54 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -54, -32, 3, 19]
</think>

<response>-59, -54, -32, 3, 19</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -6, 18, 75.

output:
<think>
Initial list: [-6, 18, 75]

Pass 1:
  Compare -6 and 18
  No swap needed
  Compare 18 and 75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-6, 18, 75]
</think>

<response>-6, 18, 75</response>


input: Implement bubble sort on -98, 56, -43, -7, 35, -46, -57, 92, 60 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-98, 56, -43, -7, 35, -46, -57, 92, 60]

Pass 1:
  Compare -98 and 56
  No swap needed
  Compare 56 and -43
  Swap 56 and -43
  List after swap: [-98, -43, 56, -7, 35, -46, -57, 92, 60]
  Compare 56 and -7
  Swap 56 and -7
  List after swap: [-98, -43, -7, 56, 35, -46, -57, 92, 60]
  Compare 56 and 35
  Swap 56 and 35
  List after swap: [-98, -43, -7, 35, 56, -46, -57, 92, 60]
  Compare 56 and -46
  Swap 56 and -46
  List after swap: [-98, -43, -7, 35, -46, 56, -57, 92, 60]
  Compare 56 and -57
  Swap 56 and -57
  List after swap: [-98, -43, -7, 35, -46, -57, 56, 92, 60]
  Compare 56 and 92
  No swap needed
  Compare 92 and 60
  Swap 92 and 60
  List after swap: [-98, -43, -7, 35, -46, -57, 56, 60, 92]

Pass 2:
  Compare -98 and -43
  No swap needed
  Compare -43 and -7
  No swap needed
  Compare -7 and 35
  No swap needed
  Compare 35 and -46
  Swap 35 and -46
  List after swap: [-98, -43, -7, -46, 35, -57, 56, 60, 92]
  Compare 35 and -57
  Swap 35 and -57
  List after swap: [-98, -43, -7, -46, -57, 35, 56, 60, 92]
  Compare 35 and 56
  No swap needed
  Compare 56 and 60
  No swap needed

Pass 3:
  Compare -98 and -43
  No swap needed
  Compare -43 and -7
  No swap needed
  Compare -7 and -46
  Swap -7 and -46
  List after swap: [-98, -43, -46, -7, -57, 35, 56, 60, 92]
  Compare -7 and -57
  Swap -7 and -57
  List after swap: [-98, -43, -46, -57, -7, 35, 56, 60, 92]
  Compare -7 and 35
  No swap needed
  Compare 35 and 56
  No swap needed

Pass 4:
  Compare -98 and -43
  No swap needed
  Compare -43 and -46
  Swap -43 and -46
  List after swap: [-98, -46, -43, -57, -7, 35, 56, 60, 92]
  Compare -43 and -57
  Swap -43 and -57
  List after swap: [-98, -46, -57, -43, -7, 35, 56, 60, 92]
  Compare -43 and -7
  No swap needed
  Compare -7 and 35
  No swap needed

Pass 5:
  Compare -98 and -46
  No swap needed
  Compare -46 and -57
  Swap -46 and -57
  List after swap: [-98, -57, -46, -43, -7, 35, 56, 60, 92]
  Compare -46 and -43
  No swap needed
  Compare -43 and -7
  No swap needed

Pass 6:
  Compare -98 and -57
  No swap needed
  Compare -57 and -46
  No swap needed
  Compare -46 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -57, -46, -43, -7, 35, 56, 60, 92]
</think>

<response>-98, -57, -46, -43, -7, 35, 56, 60, 92</response>


input: Execute bubble sort to sort -50, 48, 34, 1, 38, -7, -85, -22, 89 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-50, 48, 34, 1, 38, -7, -85, -22, 89]

Pass 1:
  Compare -50 and 48
  No swap needed
  Compare 48 and 34
  Swap 48 and 34
  List after swap: [-50, 34, 48, 1, 38, -7, -85, -22, 89]
  Compare 48 and 1
  Swap 48 and 1
  List after swap: [-50, 34, 1, 48, 38, -7, -85, -22, 89]
  Compare 48 and 38
  Swap 48 and 38
  List after swap: [-50, 34, 1, 38, 48, -7, -85, -22, 89]
  Compare 48 and -7
  Swap 48 and -7
  List after swap: [-50, 34, 1, 38, -7, 48, -85, -22, 89]
  Compare 48 and -85
  Swap 48 and -85
  List after swap: [-50, 34, 1, 38, -7, -85, 48, -22, 89]
  Compare 48 and -22
  Swap 48 and -22
  List after swap: [-50, 34, 1, 38, -7, -85, -22, 48, 89]
  Compare 48 and 89
  No swap needed

Pass 2:
  Compare -50 and 34
  No swap needed
  Compare 34 and 1
  Swap 34 and 1
  List after swap: [-50, 1, 34, 38, -7, -85, -22, 48, 89]
  Compare 34 and 38
  No swap needed
  Compare 38 and -7
  Swap 38 and -7
  List after swap: [-50, 1, 34, -7, 38, -85, -22, 48, 89]
  Compare 38 and -85
  Swap 38 and -85
  List after swap: [-50, 1, 34, -7, -85, 38, -22, 48, 89]
  Compare 38 and -22
  Swap 38 and -22
  List after swap: [-50, 1, 34, -7, -85, -22, 38, 48, 89]
  Compare 38 and 48
  No swap needed

Pass 3:
  Compare -50 and 1
  No swap needed
  Compare 1 and 34
  No swap needed
  Compare 34 and -7
  Swap 34 and -7
  List after swap: [-50, 1, -7, 34, -85, -22, 38, 48, 89]
  Compare 34 and -85
  Swap 34 and -85
  List after swap: [-50, 1, -7, -85, 34, -22, 38, 48, 89]
  Compare 34 and -22
  Swap 34 and -22
  List after swap: [-50, 1, -7, -85, -22, 34, 38, 48, 89]
  Compare 34 and 38
  No swap needed

Pass 4:
  Compare -50 and 1
  No swap needed
  Compare 1 and -7
  Swap 1 and -7
  List after swap: [-50, -7, 1, -85, -22, 34, 38, 48, 89]
  Compare 1 and -85
  Swap 1 and -85
  List after swap: [-50, -7, -85, 1, -22, 34, 38, 48, 89]
  Compare 1 and -22
  Swap 1 and -22
  List after swap: [-50, -7, -85, -22, 1, 34, 38, 48, 89]
  Compare 1 and 34
  No swap needed

Pass 5:
  Compare -50 and -7
  No swap needed
  Compare -7 and -85
  Swap -7 and -85
  List after swap: [-50, -85, -7, -22, 1, 34, 38, 48, 89]
  Compare -7 and -22
  Swap -7 and -22
  List after swap: [-50, -85, -22, -7, 1, 34, 38, 48, 89]
  Compare -7 and 1
  No swap needed

Pass 6:
  Compare -50 and -85
  Swap -50 and -85
  List after swap: [-85, -50, -22, -7, 1, 34, 38, 48, 89]
  Compare -50 and -22
  No swap needed
  Compare -22 and -7
  No swap needed

Pass 7:
  Compare -85 and -50
  No swap needed
  Compare -50 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -50, -22, -7, 1, 34, 38, 48, 89]
</think>

<response>-85, -50, -22, -7, 1, 34, 38, 48, 89</response>


input: Implement bubble sort on 12, 99 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [12, 99]

Pass 1:
  Compare 12 and 99
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [12, 99]
</think>

<response>12, 99</response>


input: Sort the list 25, -81, 47, -85, 59 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [25, -81, 47, -85, 59]

Pass 1:
  Compare 25 and -81
  Swap 25 and -81
  List after swap: [-81, 25, 47, -85, 59]
  Compare 25 and 47
  No swap needed
  Compare 47 and -85
  Swap 47 and -85
  List after swap: [-81, 25, -85, 47, 59]
  Compare 47 and 59
  No swap needed

Pass 2:
  Compare -81 and 25
  No swap needed
  Compare 25 and -85
  Swap 25 and -85
  List after swap: [-81, -85, 25, 47, 59]
  Compare 25 and 47
  No swap needed

Pass 3:
  Compare -81 and -85
  Swap -81 and -85
  List after swap: [-85, -81, 25, 47, 59]
  Compare -81 and 25
  No swap needed

Pass 4:
  Compare -85 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -81, 25, 47, 59]
</think>

<response>-85, -81, 25, 47, 59</response>


input: Implement bubble sort on -28, 14, 90, 75, 11, -81, -27, 83 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-28, 14, 90, 75, 11, -81, -27, 83]

Pass 1:
  Compare -28 and 14
  No swap needed
  Compare 14 and 90
  No swap needed
  Compare 90 and 75
  Swap 90 and 75
  List after swap: [-28, 14, 75, 90, 11, -81, -27, 83]
  Compare 90 and 11
  Swap 90 and 11
  List after swap: [-28, 14, 75, 11, 90, -81, -27, 83]
  Compare 90 and -81
  Swap 90 and -81
  List after swap: [-28, 14, 75, 11, -81, 90, -27, 83]
  Compare 90 and -27
  Swap 90 and -27
  List after swap: [-28, 14, 75, 11, -81, -27, 90, 83]
  Compare 90 and 83
  Swap 90 and 83
  List after swap: [-28, 14, 75, 11, -81, -27, 83, 90]

Pass 2:
  Compare -28 and 14
  No swap needed
  Compare 14 and 75
  No swap needed
  Compare 75 and 11
  Swap 75 and 11
  List after swap: [-28, 14, 11, 75, -81, -27, 83, 90]
  Compare 75 and -81
  Swap 75 and -81
  List after swap: [-28, 14, 11, -81, 75, -27, 83, 90]
  Compare 75 and -27
  Swap 75 and -27
  List after swap: [-28, 14, 11, -81, -27, 75, 83, 90]
  Compare 75 and 83
  No swap needed

Pass 3:
  Compare -28 and 14
  No swap needed
  Compare 14 and 11
  Swap 14 and 11
  List after swap: [-28, 11, 14, -81, -27, 75, 83, 90]
  Compare 14 and -81
  Swap 14 and -81
  List after swap: [-28, 11, -81, 14, -27, 75, 83, 90]
  Compare 14 and -27
  Swap 14 and -27
  List after swap: [-28, 11, -81, -27, 14, 75, 83, 90]
  Compare 14 and 75
  No swap needed

Pass 4:
  Compare -28 and 11
  No swap needed
  Compare 11 and -81
  Swap 11 and -81
  List after swap: [-28, -81, 11, -27, 14, 75, 83, 90]
  Compare 11 and -27
  Swap 11 and -27
  List after swap: [-28, -81, -27, 11, 14, 75, 83, 90]
  Compare 11 and 14
  No swap needed

Pass 5:
  Compare -28 and -81
  Swap -28 and -81
  List after swap: [-81, -28, -27, 11, 14, 75, 83, 90]
  Compare -28 and -27
  No swap needed
  Compare -27 and 11
  No swap needed

Pass 6:
  Compare -81 and -28
  No swap needed
  Compare -28 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -28, -27, 11, 14, 75, 83, 90]
</think>

<response>-81, -28, -27, 11, 14, 75, 83, 90</response>


input: Execute bubble sort to sort 82, 21, 68, 81, 5, 42, -39 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [82, 21, 68, 81, 5, 42, -39]

Pass 1:
  Compare 82 and 21
  Swap 82 and 21
  List after swap: [21, 82, 68, 81, 5, 42, -39]
  Compare 82 and 68
  Swap 82 and 68
  List after swap: [21, 68, 82, 81, 5, 42, -39]
  Compare 82 and 81
  Swap 82 and 81
  List after swap: [21, 68, 81, 82, 5, 42, -39]
  Compare 82 and 5
  Swap 82 and 5
  List after swap: [21, 68, 81, 5, 82, 42, -39]
  Compare 82 and 42
  Swap 82 and 42
  List after swap: [21, 68, 81, 5, 42, 82, -39]
  Compare 82 and -39
  Swap 82 and -39
  List after swap: [21, 68, 81, 5, 42, -39, 82]

Pass 2:
  Compare 21 and 68
  No swap needed
  Compare 68 and 81
  No swap needed
  Compare 81 and 5
  Swap 81 and 5
  List after swap: [21, 68, 5, 81, 42, -39, 82]
  Compare 81 and 42
  Swap 81 and 42
  List after swap: [21, 68, 5, 42, 81, -39, 82]
  Compare 81 and -39
  Swap 81 and -39
  List after swap: [21, 68, 5, 42, -39, 81, 82]

Pass 3:
  Compare 21 and 68
  No swap needed
  Compare 68 and 5
  Swap 68 and 5
  List after swap: [21, 5, 68, 42, -39, 81, 82]
  Compare 68 and 42
  Swap 68 and 42
  List after swap: [21, 5, 42, 68, -39, 81, 82]
  Compare 68 and -39
  Swap 68 and -39
  List after swap: [21, 5, 42, -39, 68, 81, 82]

Pass 4:
  Compare 21 and 5
  Swap 21 and 5
  List after swap: [5, 21, 42, -39, 68, 81, 82]
  Compare 21 and 42
  No swap needed
  Compare 42 and -39
  Swap 42 and -39
  List after swap: [5, 21, -39, 42, 68, 81, 82]

Pass 5:
  Compare 5 and 21
  No swap needed
  Compare 21 and -39
  Swap 21 and -39
  List after swap: [5, -39, 21, 42, 68, 81, 82]

Pass 6:
  Compare 5 and -39
  Swap 5 and -39
  List after swap: [-39, 5, 21, 42, 68, 81, 82]

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

Final sorted list: [-39, 5, 21, 42, 68, 81, 82]
</think>

<response>-39, 5, 21, 42, 68, 81, 82</response>


input: Sort the list 12, -51, 8 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [12, -51, 8]

Pass 1:
  Compare 12 and -51
  Swap 12 and -51
  List after swap: [-51, 12, 8]
  Compare 12 and 8
  Swap 12 and 8
  List after swap: [-51, 8, 12]

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

Final sorted list: [-51, 8, 12]
</think>

<response>-51, 8, 12</response>


input: Perform a bubble sort on the integers 71, 23, -27, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [71, 23, -27]

Pass 1:
  Compare 71 and 23
  Swap 71 and 23
  List after swap: [23, 71, -27]
  Compare 71 and -27
  Swap 71 and -27
  List after swap: [23, -27, 71]

Pass 2:
  Compare 23 and -27
  Swap 23 and -27
  List after swap: [-27, 23, 71]

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

Final sorted list: [-27, 23, 71]
</think>

<response>-27, 23, 71</response>


input: Perform a bubble sort on the integers 36, 51, 91, -75, 80, -50, 96, 1, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [36, 51, 91, -75, 80, -50, 96, 1]

Pass 1:
  Compare 36 and 51
  No swap needed
  Compare 51 and 91
  No swap needed
  Compare 91 and -75
  Swap 91 and -75
  List after swap: [36, 51, -75, 91, 80, -50, 96, 1]
  Compare 91 and 80
  Swap 91 and 80
  List after swap: [36, 51, -75, 80, 91, -50, 96, 1]
  Compare 91 and -50
  Swap 91 and -50
  List after swap: [36, 51, -75, 80, -50, 91, 96, 1]
  Compare 91 and 96
  No swap needed
  Compare 96 and 1
  Swap 96 and 1
  List after swap: [36, 51, -75, 80, -50, 91, 1, 96]

Pass 2:
  Compare 36 and 51
  No swap needed
  Compare 51 and -75
  Swap 51 and -75
  List after swap: [36, -75, 51, 80, -50, 91, 1, 96]
  Compare 51 and 80
  No swap needed
  Compare 80 and -50
  Swap 80 and -50
  List after swap: [36, -75, 51, -50, 80, 91, 1, 96]
  Compare 80 and 91
  No swap needed
  Compare 91 and 1
  Swap 91 and 1
  List after swap: [36, -75, 51, -50, 80, 1, 91, 96]

Pass 3:
  Compare 36 and -75
  Swap 36 and -75
  List after swap: [-75, 36, 51, -50, 80, 1, 91, 96]
  Compare 36 and 51
  No swap needed
  Compare 51 and -50
  Swap 51 and -50
  List after swap: [-75, 36, -50, 51, 80, 1, 91, 96]
  Compare 51 and 80
  No swap needed
  Compare 80 and 1
  Swap 80 and 1
  List after swap: [-75, 36, -50, 51, 1, 80, 91, 96]

Pass 4:
  Compare -75 and 36
  No swap needed
  Compare 36 and -50
  Swap 36 and -50
  List after swap: [-75, -50, 36, 51, 1, 80, 91, 96]
  Compare 36 and 51
  No swap needed
  Compare 51 and 1
  Swap 51 and 1
  List after swap: [-75, -50, 36, 1, 51, 80, 91, 96]

Pass 5:
  Compare -75 and -50
  No swap needed
  Compare -50 and 36
  No swap needed
  Compare 36 and 1
  Swap 36 and 1
  List after swap: [-75, -50, 1, 36, 51, 80, 91, 96]

Pass 6:
  Compare -75 and -50
  No swap needed
  Compare -50 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -50, 1, 36, 51, 80, 91, 96]
</think>

<response>-75, -50, 1, 36, 51, 80, 91, 96</response>


input: Perform a bubble sort on the integers 53, 19, -93, 58, -63, -45, -70, -61, 60, 32, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [53, 19, -93, 58, -63, -45, -70, -61, 60, 32]

Pass 1:
  Compare 53 and 19
  Swap 53 and 19
  List after swap: [19, 53, -93, 58, -63, -45, -70, -61, 60, 32]
  Compare 53 and -93
  Swap 53 and -93
  List after swap: [19, -93, 53, 58, -63, -45, -70, -61, 60, 32]
  Compare 53 and 58
  No swap needed
  Compare 58 and -63
  Swap 58 and -63
  List after swap: [19, -93, 53, -63, 58, -45, -70, -61, 60, 32]
  Compare 58 and -45
  Swap 58 and -45
  List after swap: [19, -93, 53, -63, -45, 58, -70, -61, 60, 32]
  Compare 58 and -70
  Swap 58 and -70
  List after swap: [19, -93, 53, -63, -45, -70, 58, -61, 60, 32]
  Compare 58 and -61
  Swap 58 and -61
  List after swap: [19, -93, 53, -63, -45, -70, -61, 58, 60, 32]
  Compare 58 and 60
  No swap needed
  Compare 60 and 32
  Swap 60 and 32
  List after swap: [19, -93, 53, -63, -45, -70, -61, 58, 32, 60]

Pass 2:
  Compare 19 and -93
  Swap 19 and -93
  List after swap: [-93, 19, 53, -63, -45, -70, -61, 58, 32, 60]
  Compare 19 and 53
  No swap needed
  Compare 53 and -63
  Swap 53 and -63
  List after swap: [-93, 19, -63, 53, -45, -70, -61, 58, 32, 60]
  Compare 53 and -45
  Swap 53 and -45
  List after swap: [-93, 19, -63, -45, 53, -70, -61, 58, 32, 60]
  Compare 53 and -70
  Swap 53 and -70
  List after swap: [-93, 19, -63, -45, -70, 53, -61, 58, 32, 60]
  Compare 53 and -61
  Swap 53 and -61
  List after swap: [-93, 19, -63, -45, -70, -61, 53, 58, 32, 60]
  Compare 53 and 58
  No swap needed
  Compare 58 and 32
  Swap 58 and 32
  List after swap: [-93, 19, -63, -45, -70, -61, 53, 32, 58, 60]

Pass 3:
  Compare -93 and 19
  No swap needed
  Compare 19 and -63
  Swap 19 and -63
  List after swap: [-93, -63, 19, -45, -70, -61, 53, 32, 58, 60]
  Compare 19 and -45
  Swap 19 and -45
  List after swap: [-93, -63, -45, 19, -70, -61, 53, 32, 58, 60]
  Compare 19 and -70
  Swap 19 and -70
  List after swap: [-93, -63, -45, -70, 19, -61, 53, 32, 58, 60]
  Compare 19 and -61
  Swap 19 and -61
  List after swap: [-93, -63, -45, -70, -61, 19, 53, 32, 58, 60]
  Compare 19 and 53
  No swap needed
  Compare 53 and 32
  Swap 53 and 32
  List after swap: [-93, -63, -45, -70, -61, 19, 32, 53, 58, 60]

Pass 4:
  Compare -93 and -63
  No swap needed
  Compare -63 and -45
  No swap needed
  Compare -45 and -70
  Swap -45 and -70
  List after swap: [-93, -63, -70, -45, -61, 19, 32, 53, 58, 60]
  Compare -45 and -61
  Swap -45 and -61
  List after swap: [-93, -63, -70, -61, -45, 19, 32, 53, 58, 60]
  Compare -45 and 19
  No swap needed
  Compare 19 and 32
  No swap needed

Pass 5:
  Compare -93 and -63
  No swap needed
  Compare -63 and -70
  Swap -63 and -70
  List after swap: [-93, -70, -63, -61, -45, 19, 32, 53, 58, 60]
  Compare -63 and -61
  No swap needed
  Compare -61 and -45
  No swap needed
  Compare -45 and 19
  No swap needed

Pass 6:
  Compare -93 and -70
  No swap needed
  Compare -70 and -63
  No swap needed
  Compare -63 and -61
  No swap needed
  Compare -61 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -70, -63, -61, -45, 19, 32, 53, 58, 60]
</think>

<response>-93, -70, -63, -61, -45, 19, 32, 53, 58, 60</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -1, -92, 75.

output:
<think>
Initial list: [-1, -92, 75]

Pass 1:
  Compare -1 and -92
  Swap -1 and -92
  List after swap: [-92, -1, 75]
  Compare -1 and 75
  No swap needed

Pass 2:
  Compare -92 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -1, 75]
</think>

<response>-92, -1, 75</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 93, 97, 45, -48.

output:
<think>
Initial list: [93, 97, 45, -48]

Pass 1:
  Compare 93 and 97
  No swap needed
  Compare 97 and 45
  Swap 97 and 45
  List after swap: [93, 45, 97, -48]
  Compare 97 and -48
  Swap 97 and -48
  List after swap: [93, 45, -48, 97]

Pass 2:
  Compare 93 and 45
  Swap 93 and 45
  List after swap: [45, 93, -48, 97]
  Compare 93 and -48
  Swap 93 and -48
  List after swap: [45, -48, 93, 97]

Pass 3:
  Compare 45 and -48
  Swap 45 and -48
  List after swap: [-48, 45, 93, 97]

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

Final sorted list: [-48, 45, 93, 97]
</think>

<response>-48, 45, 93, 97</response>


input: Carry out the bubble sort algorithm on 10, 44, 99, -21, -76, 33, -34, 21 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [10, 44, 99, -21, -76, 33, -34, 21]

Pass 1:
  Compare 10 and 44
  No swap needed
  Compare 44 and 99
  No swap needed
  Compare 99 and -21
  Swap 99 and -21
  List after swap: [10, 44, -21, 99, -76, 33, -34, 21]
  Compare 99 and -76
  Swap 99 and -76
  List after swap: [10, 44, -21, -76, 99, 33, -34, 21]
  Compare 99 and 33
  Swap 99 and 33
  List after swap: [10, 44, -21, -76, 33, 99, -34, 21]
  Compare 99 and -34
  Swap 99 and -34
  List after swap: [10, 44, -21, -76, 33, -34, 99, 21]
  Compare 99 and 21
  Swap 99 and 21
  List after swap: [10, 44, -21, -76, 33, -34, 21, 99]

Pass 2:
  Compare 10 and 44
  No swap needed
  Compare 44 and -21
  Swap 44 and -21
  List after swap: [10, -21, 44, -76, 33, -34, 21, 99]
  Compare 44 and -76
  Swap 44 and -76
  List after swap: [10, -21, -76, 44, 33, -34, 21, 99]
  Compare 44 and 33
  Swap 44 and 33
  List after swap: [10, -21, -76, 33, 44, -34, 21, 99]
  Compare 44 and -34
  Swap 44 and -34
  List after swap: [10, -21, -76, 33, -34, 44, 21, 99]
  Compare 44 and 21
  Swap 44 and 21
  List after swap: [10, -21, -76, 33, -34, 21, 44, 99]

Pass 3:
  Compare 10 and -21
  Swap 10 and -21
  List after swap: [-21, 10, -76, 33, -34, 21, 44, 99]
  Compare 10 and -76
  Swap 10 and -76
  List after swap: [-21, -76, 10, 33, -34, 21, 44, 99]
  Compare 10 and 33
  No swap needed
  Compare 33 and -34
  Swap 33 and -34
  List after swap: [-21, -76, 10, -34, 33, 21, 44, 99]
  Compare 33 and 21
  Swap 33 and 21
  List after swap: [-21, -76, 10, -34, 21, 33, 44, 99]

Pass 4:
  Compare -21 and -76
  Swap -21 and -76
  List after swap: [-76, -21, 10, -34, 21, 33, 44, 99]
  Compare -21 and 10
  No swap needed
  Compare 10 and -34
  Swap 10 and -34
  List after swap: [-76, -21, -34, 10, 21, 33, 44, 99]
  Compare 10 and 21
  No swap needed

Pass 5:
  Compare -76 and -21
  No swap needed
  Compare -21 and -34
  Swap -21 and -34
  List after swap: [-76, -34, -21, 10, 21, 33, 44, 99]
  Compare -21 and 10
  No swap needed

Pass 6:
  Compare -76 and -34
  No swap needed
  Compare -34 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -34, -21, 10, 21, 33, 44, 99]
</think>

<response>-76, -34, -21, 10, 21, 33, 44, 99</response>


input: Implement bubble sort on 14, 55, -90, -62, -32, 18, 3, 74 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [14, 55, -90, -62, -32, 18, 3, 74]

Pass 1:
  Compare 14 and 55
  No swap needed
  Compare 55 and -90
  Swap 55 and -90
  List after swap: [14, -90, 55, -62, -32, 18, 3, 74]
  Compare 55 and -62
  Swap 55 and -62
  List after swap: [14, -90, -62, 55, -32, 18, 3, 74]
  Compare 55 and -32
  Swap 55 and -32
  List after swap: [14, -90, -62, -32, 55, 18, 3, 74]
  Compare 55 and 18
  Swap 55 and 18
  List after swap: [14, -90, -62, -32, 18, 55, 3, 74]
  Compare 55 and 3
  Swap 55 and 3
  List after swap: [14, -90, -62, -32, 18, 3, 55, 74]
  Compare 55 and 74
  No swap needed

Pass 2:
  Compare 14 and -90
  Swap 14 and -90
  List after swap: [-90, 14, -62, -32, 18, 3, 55, 74]
  Compare 14 and -62
  Swap 14 and -62
  List after swap: [-90, -62, 14, -32, 18, 3, 55, 74]
  Compare 14 and -32
  Swap 14 and -32
  List after swap: [-90, -62, -32, 14, 18, 3, 55, 74]
  Compare 14 and 18
  No swap needed
  Compare 18 and 3
  Swap 18 and 3
  List after swap: [-90, -62, -32, 14, 3, 18, 55, 74]
  Compare 18 and 55
  No swap needed

Pass 3:
  Compare -90 and -62
  No swap needed
  Compare -62 and -32
  No swap needed
  Compare -32 and 14
  No swap needed
  Compare 14 and 3
  Swap 14 and 3
  List after swap: [-90, -62, -32, 3, 14, 18, 55, 74]
  Compare 14 and 18
  No swap needed

Pass 4:
  Compare -90 and -62
  No swap needed
  Compare -62 and -32
  No swap needed
  Compare -32 and 3
  No swap needed
  Compare 3 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -62, -32, 3, 14, 18, 55, 74]
</think>

<response>-90, -62, -32, 3, 14, 18, 55, 74</response>


input: Perform a bubble sort on the integers -83, -19, -34, 78, -27, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-83, -19, -34, 78, -27]

Pass 1:
  Compare -83 and -19
  No swap needed
  Compare -19 and -34
  Swap -19 and -34
  List after swap: [-83, -34, -19, 78, -27]
  Compare -19 and 78
  No swap needed
  Compare 78 and -27
  Swap 78 and -27
  List after swap: [-83, -34, -19, -27, 78]

Pass 2:
  Compare -83 and -34
  No swap needed
  Compare -34 and -19
  No swap needed
  Compare -19 and -27
  Swap -19 and -27
  List after swap: [-83, -34, -27, -19, 78]

Pass 3:
  Compare -83 and -34
  No swap needed
  Compare -34 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -34, -27, -19, 78]
</think>

<response>-83, -34, -27, -19, 78</response>


input: Perform a bubble sort on the integers 80, -27, -91, 6, -66, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [80, -27, -91, 6, -66]

Pass 1:
  Compare 80 and -27
  Swap 80 and -27
  List after swap: [-27, 80, -91, 6, -66]
  Compare 80 and -91
  Swap 80 and -91
  List after swap: [-27, -91, 80, 6, -66]
  Compare 80 and 6
  Swap 80 and 6
  List after swap: [-27, -91, 6, 80, -66]
  Compare 80 and -66
  Swap 80 and -66
  List after swap: [-27, -91, 6, -66, 80]

Pass 2:
  Compare -27 and -91
  Swap -27 and -91
  List after swap: [-91, -27, 6, -66, 80]
  Compare -27 and 6
  No swap needed
  Compare 6 and -66
  Swap 6 and -66
  List after swap: [-91, -27, -66, 6, 80]

Pass 3:
  Compare -91 and -27
  No swap needed
  Compare -27 and -66
  Swap -27 and -66
  List after swap: [-91, -66, -27, 6, 80]

Pass 4:
  Compare -91 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -66, -27, 6, 80]
</think>

<response>-91, -66, -27, 6, 80</response>


input: Use the bubble sort technique to reorder 88, -49, 13, -8 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [88, -49, 13, -8]

Pass 1:
  Compare 88 and -49
  Swap 88 and -49
  List after swap: [-49, 88, 13, -8]
  Compare 88 and 13
  Swap 88 and 13
  List after swap: [-49, 13, 88, -8]
  Compare 88 and -8
  Swap 88 and -8
  List after swap: [-49, 13, -8, 88]

Pass 2:
  Compare -49 and 13
  No swap needed
  Compare 13 and -8
  Swap 13 and -8
  List after swap: [-49, -8, 13, 88]

Pass 3:
  Compare -49 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -8, 13, 88]
</think>

<response>-49, -8, 13, 88</response>


input: Using the bubble sort method, sort 69, 71, 30, 91, 21, -6, 12 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [69, 71, 30, 91, 21, -6, 12]

Pass 1:
  Compare 69 and 71
  No swap needed
  Compare 71 and 30
  Swap 71 and 30
  List after swap: [69, 30, 71, 91, 21, -6, 12]
  Compare 71 and 91
  No swap needed
  Compare 91 and 21
  Swap 91 and 21
  List after swap: [69, 30, 71, 21, 91, -6, 12]
  Compare 91 and -6
  Swap 91 and -6
  List after swap: [69, 30, 71, 21, -6, 91, 12]
  Compare 91 and 12
  Swap 91 and 12
  List after swap: [69, 30, 71, 21, -6, 12, 91]

Pass 2:
  Compare 69 and 30
  Swap 69 and 30
  List after swap: [30, 69, 71, 21, -6, 12, 91]
  Compare 69 and 71
  No swap needed
  Compare 71 and 21
  Swap 71 and 21
  List after swap: [30, 69, 21, 71, -6, 12, 91]
  Compare 71 and -6
  Swap 71 and -6
  List after swap: [30, 69, 21, -6, 71, 12, 91]
  Compare 71 and 12
  Swap 71 and 12
  List after swap: [30, 69, 21, -6, 12, 71, 91]

Pass 3:
  Compare 30 and 69
  No swap needed
  Compare 69 and 21
  Swap 69 and 21
  List after swap: [30, 21, 69, -6, 12, 71, 91]
  Compare 69 and -6
  Swap 69 and -6
  List after swap: [30, 21, -6, 69, 12, 71, 91]
  Compare 69 and 12
  Swap 69 and 12
  List after swap: [30, 21, -6, 12, 69, 71, 91]

Pass 4:
  Compare 30 and 21
  Swap 30 and 21
  List after swap: [21, 30, -6, 12, 69, 71, 91]
  Compare 30 and -6
  Swap 30 and -6
  List after swap: [21, -6, 30, 12, 69, 71, 91]
  Compare 30 and 12
  Swap 30 and 12
  List after swap: [21, -6, 12, 30, 69, 71, 91]

Pass 5:
  Compare 21 and -6
  Swap 21 and -6
  List after swap: [-6, 21, 12, 30, 69, 71, 91]
  Compare 21 and 12
  Swap 21 and 12
  List after swap: [-6, 12, 21, 30, 69, 71, 91]

Pass 6:
  Compare -6 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-6, 12, 21, 30, 69, 71, 91]
</think>

<response>-6, 12, 21, 30, 69, 71, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -9, 50, -98, -11.

output:
<think>
Initial list: [-9, 50, -98, -11]

Pass 1:
  Compare -9 and 50
  No swap needed
  Compare 50 and -98
  Swap 50 and -98
  List after swap: [-9, -98, 50, -11]
  Compare 50 and -11
  Swap 50 and -11
  List after swap: [-9, -98, -11, 50]

Pass 2:
  Compare -9 and -98
  Swap -9 and -98
  List after swap: [-98, -9, -11, 50]
  Compare -9 and -11
  Swap -9 and -11
  List after swap: [-98, -11, -9, 50]

Pass 3:
  Compare -98 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -11, -9, 50]
</think>

<response>-98, -11, -9, 50</response>


input: Using the bubble sort method, sort -18, -82, -22, -40, -37, -52, -50 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-18, -82, -22, -40, -37, -52, -50]

Pass 1:
  Compare -18 and -82
  Swap -18 and -82
  List after swap: [-82, -18, -22, -40, -37, -52, -50]
  Compare -18 and -22
  Swap -18 and -22
  List after swap: [-82, -22, -18, -40, -37, -52, -50]
  Compare -18 and -40
  Swap -18 and -40
  List after swap: [-82, -22, -40, -18, -37, -52, -50]
  Compare -18 and -37
  Swap -18 and -37
  List after swap: [-82, -22, -40, -37, -18, -52, -50]
  Compare -18 and -52
  Swap -18 and -52
  List after swap: [-82, -22, -40, -37, -52, -18, -50]
  Compare -18 and -50
  Swap -18 and -50
  List after swap: [-82, -22, -40, -37, -52, -50, -18]

Pass 2:
  Compare -82 and -22
  No swap needed
  Compare -22 and -40
  Swap -22 and -40
  List after swap: [-82, -40, -22, -37, -52, -50, -18]
  Compare -22 and -37
  Swap -22 and -37
  List after swap: [-82, -40, -37, -22, -52, -50, -18]
  Compare -22 and -52
  Swap -22 and -52
  List after swap: [-82, -40, -37, -52, -22, -50, -18]
  Compare -22 and -50
  Swap -22 and -50
  List after swap: [-82, -40, -37, -52, -50, -22, -18]

Pass 3:
  Compare -82 and -40
  No swap needed
  Compare -40 and -37
  No swap needed
  Compare -37 and -52
  Swap -37 and -52
  List after swap: [-82, -40, -52, -37, -50, -22, -18]
  Compare -37 and -50
  Swap -37 and -50
  List after swap: [-82, -40, -52, -50, -37, -22, -18]

Pass 4:
  Compare -82 and -40
  No swap needed
  Compare -40 and -52
  Swap -40 and -52
  List after swap: [-82, -52, -40, -50, -37, -22, -18]
  Compare -40 and -50
  Swap -40 and -50
  List after swap: [-82, -52, -50, -40, -37, -22, -18]

Pass 5:
  Compare -82 and -52
  No swap needed
  Compare -52 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -52, -50, -40, -37, -22, -18]
</think>

<response>-82, -52, -50, -40, -37, -22, -18</response>


input: Demonstrate how bubble sort orders the integers -31, -15, 32, -51, -45, 93, 10 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-31, -15, 32, -51, -45, 93, 10]

Pass 1:
  Compare -31 and -15
  No swap needed
  Compare -15 and 32
  No swap needed
  Compare 32 and -51
  Swap 32 and -51
  List after swap: [-31, -15, -51, 32, -45, 93, 10]
  Compare 32 and -45
  Swap 32 and -45
  List after swap: [-31, -15, -51, -45, 32, 93, 10]
  Compare 32 and 93
  No swap needed
  Compare 93 and 10
  Swap 93 and 10
  List after swap: [-31, -15, -51, -45, 32, 10, 93]

Pass 2:
  Compare -31 and -15
  No swap needed
  Compare -15 and -51
  Swap -15 and -51
  List after swap: [-31, -51, -15, -45, 32, 10, 93]
  Compare -15 and -45
  Swap -15 and -45
  List after swap: [-31, -51, -45, -15, 32, 10, 93]
  Compare -15 and 32
  No swap needed
  Compare 32 and 10
  Swap 32 and 10
  List after swap: [-31, -51, -45, -15, 10, 32, 93]

Pass 3:
  Compare -31 and -51
  Swap -31 and -51
  List after swap: [-51, -31, -45, -15, 10, 32, 93]
  Compare -31 and -45
  Swap -31 and -45
  List after swap: [-51, -45, -31, -15, 10, 32, 93]
  Compare -31 and -15
  No swap needed
  Compare -15 and 10
  No swap needed

Pass 4:
  Compare -51 and -45
  No swap needed
  Compare -45 and -31
  No swap needed
  Compare -31 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -45, -31, -15, 10, 32, 93]
</think>

<response>-51, -45, -31, -15, 10, 32, 93</response>


input: Implement bubble sort on -59, 68, -82, 47, 37, 5 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-59, 68, -82, 47, 37, 5]

Pass 1:
  Compare -59 and 68
  No swap needed
  Compare 68 and -82
  Swap 68 and -82
  List after swap: [-59, -82, 68, 47, 37, 5]
  Compare 68 and 47
  Swap 68 and 47
  List after swap: [-59, -82, 47, 68, 37, 5]
  Compare 68 and 37
  Swap 68 and 37
  List after swap: [-59, -82, 47, 37, 68, 5]
  Compare 68 and 5
  Swap 68 and 5
  List after swap: [-59, -82, 47, 37, 5, 68]

Pass 2:
  Compare -59 and -82
  Swap -59 and -82
  List after swap: [-82, -59, 47, 37, 5, 68]
  Compare -59 and 47
  No swap needed
  Compare 47 and 37
  Swap 47 and 37
  List after swap: [-82, -59, 37, 47, 5, 68]
  Compare 47 and 5
  Swap 47 and 5
  List after swap: [-82, -59, 37, 5, 47, 68]

Pass 3:
  Compare -82 and -59
  No swap needed
  Compare -59 and 37
  No swap needed
  Compare 37 and 5
  Swap 37 and 5
  List after swap: [-82, -59, 5, 37, 47, 68]

Pass 4:
  Compare -82 and -59
  No swap needed
  Compare -59 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -59, 5, 37, 47, 68]
</think>

<response>-82, -59, 5, 37, 47, 68</response>


input: Use the bubble sort technique to reorder -31, 27, 84, -50, 4, 80, 12, 93, 20 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-31, 27, 84, -50, 4, 80, 12, 93, 20]

Pass 1:
  Compare -31 and 27
  No swap needed
  Compare 27 and 84
  No swap needed
  Compare 84 and -50
  Swap 84 and -50
  List after swap: [-31, 27, -50, 84, 4, 80, 12, 93, 20]
  Compare 84 and 4
  Swap 84 and 4
  List after swap: [-31, 27, -50, 4, 84, 80, 12, 93, 20]
  Compare 84 and 80
  Swap 84 and 80
  List after swap: [-31, 27, -50, 4, 80, 84, 12, 93, 20]
  Compare 84 and 12
  Swap 84 and 12
  List after swap: [-31, 27, -50, 4, 80, 12, 84, 93, 20]
  Compare 84 and 93
  No swap needed
  Compare 93 and 20
  Swap 93 and 20
  List after swap: [-31, 27, -50, 4, 80, 12, 84, 20, 93]

Pass 2:
  Compare -31 and 27
  No swap needed
  Compare 27 and -50
  Swap 27 and -50
  List after swap: [-31, -50, 27, 4, 80, 12, 84, 20, 93]
  Compare 27 and 4
  Swap 27 and 4
  List after swap: [-31, -50, 4, 27, 80, 12, 84, 20, 93]
  Compare 27 and 80
  No swap needed
  Compare 80 and 12
  Swap 80 and 12
  List after swap: [-31, -50, 4, 27, 12, 80, 84, 20, 93]
  Compare 80 and 84
  No swap needed
  Compare 84 and 20
  Swap 84 and 20
  List after swap: [-31, -50, 4, 27, 12, 80, 20, 84, 93]

Pass 3:
  Compare -31 and -50
  Swap -31 and -50
  List after swap: [-50, -31, 4, 27, 12, 80, 20, 84, 93]
  Compare -31 and 4
  No swap needed
  Compare 4 and 27
  No swap needed
  Compare 27 and 12
  Swap 27 and 12
  List after swap: [-50, -31, 4, 12, 27, 80, 20, 84, 93]
  Compare 27 and 80
  No swap needed
  Compare 80 and 20
  Swap 80 and 20
  List after swap: [-50, -31, 4, 12, 27, 20, 80, 84, 93]

Pass 4:
  Compare -50 and -31
  No swap needed
  Compare -31 and 4
  No swap needed
  Compare 4 and 12
  No swap needed
  Compare 12 and 27
  No swap needed
  Compare 27 and 20
  Swap 27 and 20
  List after swap: [-50, -31, 4, 12, 20, 27, 80, 84, 93]

Pass 5:
  Compare -50 and -31
  No swap needed
  Compare -31 and 4
  No swap needed
  Compare 4 and 12
  No swap needed
  Compare 12 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -31, 4, 12, 20, 27, 80, 84, 93]
</think>

<response>-50, -31, 4, 12, 20, 27, 80, 84, 93</response>


input: Using the bubble sort method, sort 23, -9, 55, -23 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [23, -9, 55, -23]

Pass 1:
  Compare 23 and -9
  Swap 23 and -9
  List after swap: [-9, 23, 55, -23]
  Compare 23 and 55
  No swap needed
  Compare 55 and -23
  Swap 55 and -23
  List after swap: [-9, 23, -23, 55]

Pass 2:
  Compare -9 and 23
  No swap needed
  Compare 23 and -23
  Swap 23 and -23
  List after swap: [-9, -23, 23, 55]

Pass 3:
  Compare -9 and -23
  Swap -9 and -23
  List after swap: [-23, -9, 23, 55]

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

Final sorted list: [-23, -9, 23, 55]
</think>

<response>-23, -9, 23, 55</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -2, -55, 71, 59.

output:
<think>
Initial list: [-2, -55, 71, 59]

Pass 1:
  Compare -2 and -55
  Swap -2 and -55
  List after swap: [-55, -2, 71, 59]
  Compare -2 and 71
  No swap needed
  Compare 71 and 59
  Swap 71 and 59
  List after swap: [-55, -2, 59, 71]

Pass 2:
  Compare -55 and -2
  No swap needed
  Compare -2 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -2, 59, 71]
</think>

<response>-55, -2, 59, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -6, -44, -67, -9, -66, -12, 72, 75, -93, -64.

output:
<think>
Initial list: [-6, -44, -67, -9, -66, -12, 72, 75, -93, -64]

Pass 1:
  Compare -6 and -44
  Swap -6 and -44
  List after swap: [-44, -6, -67, -9, -66, -12, 72, 75, -93, -64]
  Compare -6 and -67
  Swap -6 and -67
  List after swap: [-44, -67, -6, -9, -66, -12, 72, 75, -93, -64]
  Compare -6 and -9
  Swap -6 and -9
  List after swap: [-44, -67, -9, -6, -66, -12, 72, 75, -93, -64]
  Compare -6 and -66
  Swap -6 and -66
  List after swap: [-44, -67, -9, -66, -6, -12, 72, 75, -93, -64]
  Compare -6 and -12
  Swap -6 and -12
  List after swap: [-44, -67, -9, -66, -12, -6, 72, 75, -93, -64]
  Compare -6 and 72
  No swap needed
  Compare 72 and 75
  No swap needed
  Compare 75 and -93
  Swap 75 and -93
  List after swap: [-44, -67, -9, -66, -12, -6, 72, -93, 75, -64]
  Compare 75 and -64
  Swap 75 and -64
  List after swap: [-44, -67, -9, -66, -12, -6, 72, -93, -64, 75]

Pass 2:
  Compare -44 and -67
  Swap -44 and -67
  List after swap: [-67, -44, -9, -66, -12, -6, 72, -93, -64, 75]
  Compare -44 and -9
  No swap needed
  Compare -9 and -66
  Swap -9 and -66
  List after swap: [-67, -44, -66, -9, -12, -6, 72, -93, -64, 75]
  Compare -9 and -12
  Swap -9 and -12
  List after swap: [-67, -44, -66, -12, -9, -6, 72, -93, -64, 75]
  Compare -9 and -6
  No swap needed
  Compare -6 and 72
  No swap needed
  Compare 72 and -93
  Swap 72 and -93
  List after swap: [-67, -44, -66, -12, -9, -6, -93, 72, -64, 75]
  Compare 72 and -64
  Swap 72 and -64
  List after swap: [-67, -44, -66, -12, -9, -6, -93, -64, 72, 75]

Pass 3:
  Compare -67 and -44
  No swap needed
  Compare -44 and -66
  Swap -44 and -66
  List after swap: [-67, -66, -44, -12, -9, -6, -93, -64, 72, 75]
  Compare -44 and -12
  No swap needed
  Compare -12 and -9
  No swap needed
  Compare -9 and -6
  No swap needed
  Compare -6 and -93
  Swap -6 and -93
  List after swap: [-67, -66, -44, -12, -9, -93, -6, -64, 72, 75]
  Compare -6 and -64
  Swap -6 and -64
  List after swap: [-67, -66, -44, -12, -9, -93, -64, -6, 72, 75]

Pass 4:
  Compare -67 and -66
  No swap needed
  Compare -66 and -44
  No swap needed
  Compare -44 and -12
  No swap needed
  Compare -12 and -9
  No swap needed
  Compare -9 and -93
  Swap -9 and -93
  List after swap: [-67, -66, -44, -12, -93, -9, -64, -6, 72, 75]
  Compare -9 and -64
  Swap -9 and -64
  List after swap: [-67, -66, -44, -12, -93, -64, -9, -6, 72, 75]

Pass 5:
  Compare -67 and -66
  No swap needed
  Compare -66 and -44
  No swap needed
  Compare -44 and -12
  No swap needed
  Compare -12 and -93
  Swap -12 and -93
  List after swap: [-67, -66, -44, -93, -12, -64, -9, -6, 72, 75]
  Compare -12 and -64
  Swap -12 and -64
  List after swap: [-67, -66, -44, -93, -64, -12, -9, -6, 72, 75]

Pass 6:
  Compare -67 and -66
  No swap needed
  Compare -66 and -44
  No swap needed
  Compare -44 and -93
  Swap -44 and -93
  List after swap: [-67, -66, -93, -44, -64, -12, -9, -6, 72, 75]
  Compare -44 and -64
  Swap -44 and -64
  List after swap: [-67, -66, -93, -64, -44, -12, -9, -6, 72, 75]

Pass 7:
  Compare -67 and -66
  No swap needed
  Compare -66 and -93
  Swap -66 and -93
  List after swap: [-67, -93, -66, -64, -44, -12, -9, -6, 72, 75]
  Compare -66 and -64
  No swap needed

Pass 8:
  Compare -67 and -93
  Swap -67 and -93
  List after swap: [-93, -67, -66, -64, -44, -12, -9, -6, 72, 75]
  Compare -67 and -66
  No swap needed

Pass 9:
  Compare -93 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -67, -66, -64, -44, -12, -9, -6, 72, 75]
</think>

<response>-93, -67, -66, -64, -44, -12, -9, -6, 72, 75</response>


input: Perform a bubble sort on the integers -68, -13, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-68, -13]

Pass 1:
  Compare -68 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -13]
</think>

<response>-68, -13</response>


input: Arrange the numbers 43, 26, 14, 13 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [43, 26, 14, 13]

Pass 1:
  Compare 43 and 26
  Swap 43 and 26
  List after swap: [26, 43, 14, 13]
  Compare 43 and 14
  Swap 43 and 14
  List after swap: [26, 14, 43, 13]
  Compare 43 and 13
  Swap 43 and 13
  List after swap: [26, 14, 13, 43]

Pass 2:
  Compare 26 and 14
  Swap 26 and 14
  List after swap: [14, 26, 13, 43]
  Compare 26 and 13
  Swap 26 and 13
  List after swap: [14, 13, 26, 43]

Pass 3:
  Compare 14 and 13
  Swap 14 and 13
  List after swap: [13, 14, 26, 43]

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

Final sorted list: [13, 14, 26, 43]
</think>

<response>13, 14, 26, 43</response>


input: Implement bubble sort on -72, -98, -63, -47, -34, -57 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-72, -98, -63, -47, -34, -57]

Pass 1:
  Compare -72 and -98
  Swap -72 and -98
  List after swap: [-98, -72, -63, -47, -34, -57]
  Compare -72 and -63
  No swap needed
  Compare -63 and -47
  No swap needed
  Compare -47 and -34
  No swap needed
  Compare -34 and -57
  Swap -34 and -57
  List after swap: [-98, -72, -63, -47, -57, -34]

Pass 2:
  Compare -98 and -72
  No swap needed
  Compare -72 and -63
  No swap needed
  Compare -63 and -47
  No swap needed
  Compare -47 and -57
  Swap -47 and -57
  List after swap: [-98, -72, -63, -57, -47, -34]

Pass 3:
  Compare -98 and -72
  No swap needed
  Compare -72 and -63
  No swap needed
  Compare -63 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -72, -63, -57, -47, -34]
</think>

<response>-98, -72, -63, -57, -47, -34</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 88, 31, -48, 67, 58, 64.

output:
<think>
Initial list: [88, 31, -48, 67, 58, 64]

Pass 1:
  Compare 88 and 31
  Swap 88 and 31
  List after swap: [31, 88, -48, 67, 58, 64]
  Compare 88 and -48
  Swap 88 and -48
  List after swap: [31, -48, 88, 67, 58, 64]
  Compare 88 and 67
  Swap 88 and 67
  List after swap: [31, -48, 67, 88, 58, 64]
  Compare 88 and 58
  Swap 88 and 58
  List after swap: [31, -48, 67, 58, 88, 64]
  Compare 88 and 64
  Swap 88 and 64
  List after swap: [31, -48, 67, 58, 64, 88]

Pass 2:
  Compare 31 and -48
  Swap 31 and -48
  List after swap: [-48, 31, 67, 58, 64, 88]
  Compare 31 and 67
  No swap needed
  Compare 67 and 58
  Swap 67 and 58
  List after swap: [-48, 31, 58, 67, 64, 88]
  Compare 67 and 64
  Swap 67 and 64
  List after swap: [-48, 31, 58, 64, 67, 88]

Pass 3:
  Compare -48 and 31
  No swap needed
  Compare 31 and 58
  No swap needed
  Compare 58 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, 31, 58, 64, 67, 88]
</think>

<response>-48, 31, 58, 64, 67, 88</response>


input: Perform a bubble sort on the integers -54, -52, -4, -46, -26, -8, -65, -98, 81, -18, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-54, -52, -4, -46, -26, -8, -65, -98, 81, -18]

Pass 1:
  Compare -54 and -52
  No swap needed
  Compare -52 and -4
  No swap needed
  Compare -4 and -46
  Swap -4 and -46
  List after swap: [-54, -52, -46, -4, -26, -8, -65, -98, 81, -18]
  Compare -4 and -26
  Swap -4 and -26
  List after swap: [-54, -52, -46, -26, -4, -8, -65, -98, 81, -18]
  Compare -4 and -8
  Swap -4 and -8
  List after swap: [-54, -52, -46, -26, -8, -4, -65, -98, 81, -18]
  Compare -4 and -65
  Swap -4 and -65
  List after swap: [-54, -52, -46, -26, -8, -65, -4, -98, 81, -18]
  Compare -4 and -98
  Swap -4 and -98
  List after swap: [-54, -52, -46, -26, -8, -65, -98, -4, 81, -18]
  Compare -4 and 81
  No swap needed
  Compare 81 and -18
  Swap 81 and -18
  List after swap: [-54, -52, -46, -26, -8, -65, -98, -4, -18, 81]

Pass 2:
  Compare -54 and -52
  No swap needed
  Compare -52 and -46
  No swap needed
  Compare -46 and -26
  No swap needed
  Compare -26 and -8
  No swap needed
  Compare -8 and -65
  Swap -8 and -65
  List after swap: [-54, -52, -46, -26, -65, -8, -98, -4, -18, 81]
  Compare -8 and -98
  Swap -8 and -98
  List after swap: [-54, -52, -46, -26, -65, -98, -8, -4, -18, 81]
  Compare -8 and -4
  No swap needed
  Compare -4 and -18
  Swap -4 and -18
  List after swap: [-54, -52, -46, -26, -65, -98, -8, -18, -4, 81]

Pass 3:
  Compare -54 and -52
  No swap needed
  Compare -52 and -46
  No swap needed
  Compare -46 and -26
  No swap needed
  Compare -26 and -65
  Swap -26 and -65
  List after swap: [-54, -52, -46, -65, -26, -98, -8, -18, -4, 81]
  Compare -26 and -98
  Swap -26 and -98
  List after swap: [-54, -52, -46, -65, -98, -26, -8, -18, -4, 81]
  Compare -26 and -8
  No swap needed
  Compare -8 and -18
  Swap -8 and -18
  List after swap: [-54, -52, -46, -65, -98, -26, -18, -8, -4, 81]

Pass 4:
  Compare -54 and -52
  No swap needed
  Compare -52 and -46
  No swap needed
  Compare -46 and -65
  Swap -46 and -65
  List after swap: [-54, -52, -65, -46, -98, -26, -18, -8, -4, 81]
  Compare -46 and -98
  Swap -46 and -98
  List after swap: [-54, -52, -65, -98, -46, -26, -18, -8, -4, 81]
  Compare -46 and -26
  No swap needed
  Compare -26 and -18
  No swap needed

Pass 5:
  Compare -54 and -52
  No swap needed
  Compare -52 and -65
  Swap -52 and -65
  List after swap: [-54, -65, -52, -98, -46, -26, -18, -8, -4, 81]
  Compare -52 and -98
  Swap -52 and -98
  List after swap: [-54, -65, -98, -52, -46, -26, -18, -8, -4, 81]
  Compare -52 and -46
  No swap needed
  Compare -46 and -26
  No swap needed

Pass 6:
  Compare -54 and -65
  Swap -54 and -65
  List after swap: [-65, -54, -98, -52, -46, -26, -18, -8, -4, 81]
  Compare -54 and -98
  Swap -54 and -98
  List after swap: [-65, -98, -54, -52, -46, -26, -18, -8, -4, 81]
  Compare -54 and -52
  No swap needed
  Compare -52 and -46
  No swap needed

Pass 7:
  Compare -65 and -98
  Swap -65 and -98
  List after swap: [-98, -65, -54, -52, -46, -26, -18, -8, -4, 81]
  Compare -65 and -54
  No swap needed
  Compare -54 and -52
  No swap needed

Pass 8:
  Compare -98 and -65
  No swap needed
  Compare -65 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -65, -54, -52, -46, -26, -18, -8, -4, 81]
</think>

<response>-98, -65, -54, -52, -46, -26, -18, -8, -4, 81</response>


input: Demonstrate how bubble sort orders the integers 12, -63, -29 in ascending sequence, showing all steps.

output:
<think>
Initial list: [12, -63, -29]

Pass 1:
  Compare 12 and -63
  Swap 12 and -63
  List after swap: [-63, 12, -29]
  Compare 12 and -29
  Swap 12 and -29
  List after swap: [-63, -29, 12]

Pass 2:
  Compare -63 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -29, 12]
</think>

<response>-63, -29, 12</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 8, -81, 62, -84, 65, -80, 30, -75, -46.

output:
<think>
Initial list: [8, -81, 62, -84, 65, -80, 30, -75, -46]

Pass 1:
  Compare 8 and -81
  Swap 8 and -81
  List after swap: [-81, 8, 62, -84, 65, -80, 30, -75, -46]
  Compare 8 and 62
  No swap needed
  Compare 62 and -84
  Swap 62 and -84
  List after swap: [-81, 8, -84, 62, 65, -80, 30, -75, -46]
  Compare 62 and 65
  No swap needed
  Compare 65 and -80
  Swap 65 and -80
  List after swap: [-81, 8, -84, 62, -80, 65, 30, -75, -46]
  Compare 65 and 30
  Swap 65 and 30
  List after swap: [-81, 8, -84, 62, -80, 30, 65, -75, -46]
  Compare 65 and -75
  Swap 65 and -75
  List after swap: [-81, 8, -84, 62, -80, 30, -75, 65, -46]
  Compare 65 and -46
  Swap 65 and -46
  List after swap: [-81, 8, -84, 62, -80, 30, -75, -46, 65]

Pass 2:
  Compare -81 and 8
  No swap needed
  Compare 8 and -84
  Swap 8 and -84
  List after swap: [-81, -84, 8, 62, -80, 30, -75, -46, 65]
  Compare 8 and 62
  No swap needed
  Compare 62 and -80
  Swap 62 and -80
  List after swap: [-81, -84, 8, -80, 62, 30, -75, -46, 65]
  Compare 62 and 30
  Swap 62 and 30
  List after swap: [-81, -84, 8, -80, 30, 62, -75, -46, 65]
  Compare 62 and -75
  Swap 62 and -75
  List after swap: [-81, -84, 8, -80, 30, -75, 62, -46, 65]
  Compare 62 and -46
  Swap 62 and -46
  List after swap: [-81, -84, 8, -80, 30, -75, -46, 62, 65]

Pass 3:
  Compare -81 and -84
  Swap -81 and -84
  List after swap: [-84, -81, 8, -80, 30, -75, -46, 62, 65]
  Compare -81 and 8
  No swap needed
  Compare 8 and -80
  Swap 8 and -80
  List after swap: [-84, -81, -80, 8, 30, -75, -46, 62, 65]
  Compare 8 and 30
  No swap needed
  Compare 30 and -75
  Swap 30 and -75
  List after swap: [-84, -81, -80, 8, -75, 30, -46, 62, 65]
  Compare 30 and -46
  Swap 30 and -46
  List after swap: [-84, -81, -80, 8, -75, -46, 30, 62, 65]

Pass 4:
  Compare -84 and -81
  No swap needed
  Compare -81 and -80
  No swap needed
  Compare -80 and 8
  No swap needed
  Compare 8 and -75
  Swap 8 and -75
  List after swap: [-84, -81, -80, -75, 8, -46, 30, 62, 65]
  Compare 8 and -46
  Swap 8 and -46
  List after swap: [-84, -81, -80, -75, -46, 8, 30, 62, 65]

Pass 5:
  Compare -84 and -81
  No swap needed
  Compare -81 and -80
  No swap needed
  Compare -80 and -75
  No swap needed
  Compare -75 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -81, -80, -75, -46, 8, 30, 62, 65]
</think>

<response>-84, -81, -80, -75, -46, 8, 30, 62, 65</response>


input: Using the bubble sort method, sort -78, -4, 43 from lowest to highest and provide a step-by-step breakdown.

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

Pass 1:
  Compare -78 and -4
  No swap needed
  Compare -4 and 43
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-78, -4, 43</response>


input: Implement bubble sort on -66, 4, -92, -10, 38, 93, -9, 43 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-66, 4, -92, -10, 38, 93, -9, 43]

Pass 1:
  Compare -66 and 4
  No swap needed
  Compare 4 and -92
  Swap 4 and -92
  List after swap: [-66, -92, 4, -10, 38, 93, -9, 43]
  Compare 4 and -10
  Swap 4 and -10
  List after swap: [-66, -92, -10, 4, 38, 93, -9, 43]
  Compare 4 and 38
  No swap needed
  Compare 38 and 93
  No swap needed
  Compare 93 and -9
  Swap 93 and -9
  List after swap: [-66, -92, -10, 4, 38, -9, 93, 43]
  Compare 93 and 43
  Swap 93 and 43
  List after swap: [-66, -92, -10, 4, 38, -9, 43, 93]

Pass 2:
  Compare -66 and -92
  Swap -66 and -92
  List after swap: [-92, -66, -10, 4, 38, -9, 43, 93]
  Compare -66 and -10
  No swap needed
  Compare -10 and 4
  No swap needed
  Compare 4 and 38
  No swap needed
  Compare 38 and -9
  Swap 38 and -9
  List after swap: [-92, -66, -10, 4, -9, 38, 43, 93]
  Compare 38 and 43
  No swap needed

Pass 3:
  Compare -92 and -66
  No swap needed
  Compare -66 and -10
  No swap needed
  Compare -10 and 4
  No swap needed
  Compare 4 and -9
  Swap 4 and -9
  List after swap: [-92, -66, -10, -9, 4, 38, 43, 93]
  Compare 4 and 38
  No swap needed

Pass 4:
  Compare -92 and -66
  No swap needed
  Compare -66 and -10
  No swap needed
  Compare -10 and -9
  No swap needed
  Compare -9 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -66, -10, -9, 4, 38, 43, 93]
</think>

<response>-92, -66, -10, -9, 4, 38, 43, 93</response>


input: Use the bubble sort technique to reorder 38, -86, 60, -11, -95, -8, 41, -41, 72, -38 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [38, -86, 60, -11, -95, -8, 41, -41, 72, -38]

Pass 1:
  Compare 38 and -86
  Swap 38 and -86
  List after swap: [-86, 38, 60, -11, -95, -8, 41, -41, 72, -38]
  Compare 38 and 60
  No swap needed
  Compare 60 and -11
  Swap 60 and -11
  List after swap: [-86, 38, -11, 60, -95, -8, 41, -41, 72, -38]
  Compare 60 and -95
  Swap 60 and -95
  List after swap: [-86, 38, -11, -95, 60, -8, 41, -41, 72, -38]
  Compare 60 and -8
  Swap 60 and -8
  List after swap: [-86, 38, -11, -95, -8, 60, 41, -41, 72, -38]
  Compare 60 and 41
  Swap 60 and 41
  List after swap: [-86, 38, -11, -95, -8, 41, 60, -41, 72, -38]
  Compare 60 and -41
  Swap 60 and -41
  List after swap: [-86, 38, -11, -95, -8, 41, -41, 60, 72, -38]
  Compare 60 and 72
  No swap needed
  Compare 72 and -38
  Swap 72 and -38
  List after swap: [-86, 38, -11, -95, -8, 41, -41, 60, -38, 72]

Pass 2:
  Compare -86 and 38
  No swap needed
  Compare 38 and -11
  Swap 38 and -11
  List after swap: [-86, -11, 38, -95, -8, 41, -41, 60, -38, 72]
  Compare 38 and -95
  Swap 38 and -95
  List after swap: [-86, -11, -95, 38, -8, 41, -41, 60, -38, 72]
  Compare 38 and -8
  Swap 38 and -8
  List after swap: [-86, -11, -95, -8, 38, 41, -41, 60, -38, 72]
  Compare 38 and 41
  No swap needed
  Compare 41 and -41
  Swap 41 and -41
  List after swap: [-86, -11, -95, -8, 38, -41, 41, 60, -38, 72]
  Compare 41 and 60
  No swap needed
  Compare 60 and -38
  Swap 60 and -38
  List after swap: [-86, -11, -95, -8, 38, -41, 41, -38, 60, 72]

Pass 3:
  Compare -86 and -11
  No swap needed
  Compare -11 and -95
  Swap -11 and -95
  List after swap: [-86, -95, -11, -8, 38, -41, 41, -38, 60, 72]
  Compare -11 and -8
  No swap needed
  Compare -8 and 38
  No swap needed
  Compare 38 and -41
  Swap 38 and -41
  List after swap: [-86, -95, -11, -8, -41, 38, 41, -38, 60, 72]
  Compare 38 and 41
  No swap needed
  Compare 41 and -38
  Swap 41 and -38
  List after swap: [-86, -95, -11, -8, -41, 38, -38, 41, 60, 72]

Pass 4:
  Compare -86 and -95
  Swap -86 and -95
  List after swap: [-95, -86, -11, -8, -41, 38, -38, 41, 60, 72]
  Compare -86 and -11
  No swap needed
  Compare -11 and -8
  No swap needed
  Compare -8 and -41
  Swap -8 and -41
  List after swap: [-95, -86, -11, -41, -8, 38, -38, 41, 60, 72]
  Compare -8 and 38
  No swap needed
  Compare 38 and -38
  Swap 38 and -38
  List after swap: [-95, -86, -11, -41, -8, -38, 38, 41, 60, 72]

Pass 5:
  Compare -95 and -86
  No swap needed
  Compare -86 and -11
  No swap needed
  Compare -11 and -41
  Swap -11 and -41
  List after swap: [-95, -86, -41, -11, -8, -38, 38, 41, 60, 72]
  Compare -11 and -8
  No swap needed
  Compare -8 and -38
  Swap -8 and -38
  List after swap: [-95, -86, -41, -11, -38, -8, 38, 41, 60, 72]

Pass 6:
  Compare -95 and -86
  No swap needed
  Compare -86 and -41
  No swap needed
  Compare -41 and -11
  No swap needed
  Compare -11 and -38
  Swap -11 and -38
  List after swap: [-95, -86, -41, -38, -11, -8, 38, 41, 60, 72]

Pass 7:
  Compare -95 and -86
  No swap needed
  Compare -86 and -41
  No swap needed
  Compare -41 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -86, -41, -38, -11, -8, 38, 41, 60, 72]
</think>

<response>-95, -86, -41, -38, -11, -8, 38, 41, 60, 72</response>


input: Perform a bubble sort on the integers 65, 14, -6, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [65, 14, -6]

Pass 1:
  Compare 65 and 14
  Swap 65 and 14
  List after swap: [14, 65, -6]
  Compare 65 and -6
  Swap 65 and -6
  List after swap: [14, -6, 65]

Pass 2:
  Compare 14 and -6
  Swap 14 and -6
  List after swap: [-6, 14, 65]

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

Final sorted list: [-6, 14, 65]
</think>

<response>-6, 14, 65</response>


input: Sort these integers 64, -63, 43, -93, 44, -82 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [64, -63, 43, -93, 44, -82]

Pass 1:
  Compare 64 and -63
  Swap 64 and -63
  List after swap: [-63, 64, 43, -93, 44, -82]
  Compare 64 and 43
  Swap 64 and 43
  List after swap: [-63, 43, 64, -93, 44, -82]
  Compare 64 and -93
  Swap 64 and -93
  List after swap: [-63, 43, -93, 64, 44, -82]
  Compare 64 and 44
  Swap 64 and 44
  List after swap: [-63, 43, -93, 44, 64, -82]
  Compare 64 and -82
  Swap 64 and -82
  List after swap: [-63, 43, -93, 44, -82, 64]

Pass 2:
  Compare -63 and 43
  No swap needed
  Compare 43 and -93
  Swap 43 and -93
  List after swap: [-63, -93, 43, 44, -82, 64]
  Compare 43 and 44
  No swap needed
  Compare 44 and -82
  Swap 44 and -82
  List after swap: [-63, -93, 43, -82, 44, 64]

Pass 3:
  Compare -63 and -93
  Swap -63 and -93
  List after swap: [-93, -63, 43, -82, 44, 64]
  Compare -63 and 43
  No swap needed
  Compare 43 and -82
  Swap 43 and -82
  List after swap: [-93, -63, -82, 43, 44, 64]

Pass 4:
  Compare -93 and -63
  No swap needed
  Compare -63 and -82
  Swap -63 and -82
  List after swap: [-93, -82, -63, 43, 44, 64]

Pass 5:
  Compare -93 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -82, -63, 43, 44, 64]
</think>

<response>-93, -82, -63, 43, 44, 64</response>


input: Perform a bubble sort on the integers 73, 32, -12, -51, 0, 57, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [73, 32, -12, -51, 0, 57]

Pass 1:
  Compare 73 and 32
  Swap 73 and 32
  List after swap: [32, 73, -12, -51, 0, 57]
  Compare 73 and -12
  Swap 73 and -12
  List after swap: [32, -12, 73, -51, 0, 57]
  Compare 73 and -51
  Swap 73 and -51
  List after swap: [32, -12, -51, 73, 0, 57]
  Compare 73 and 0
  Swap 73 and 0
  List after swap: [32, -12, -51, 0, 73, 57]
  Compare 73 and 57
  Swap 73 and 57
  List after swap: [32, -12, -51, 0, 57, 73]

Pass 2:
  Compare 32 and -12
  Swap 32 and -12
  List after swap: [-12, 32, -51, 0, 57, 73]
  Compare 32 and -51
  Swap 32 and -51
  List after swap: [-12, -51, 32, 0, 57, 73]
  Compare 32 and 0
  Swap 32 and 0
  List after swap: [-12, -51, 0, 32, 57, 73]
  Compare 32 and 57
  No swap needed

Pass 3:
  Compare -12 and -51
  Swap -12 and -51
  List after swap: [-51, -12, 0, 32, 57, 73]
  Compare -12 and 0
  No swap needed
  Compare 0 and 32
  No swap needed

Pass 4:
  Compare -51 and -12
  No swap needed
  Compare -12 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -12, 0, 32, 57, 73]
</think>

<response>-51, -12, 0, 32, 57, 73</response>


input: Demonstrate how bubble sort orders the integers 75, 35, 53, -85 in ascending sequence, showing all steps.

output:
<think>
Initial list: [75, 35, 53, -85]

Pass 1:
  Compare 75 and 35
  Swap 75 and 35
  List after swap: [35, 75, 53, -85]
  Compare 75 and 53
  Swap 75 and 53
  List after swap: [35, 53, 75, -85]
  Compare 75 and -85
  Swap 75 and -85
  List after swap: [35, 53, -85, 75]

Pass 2:
  Compare 35 and 53
  No swap needed
  Compare 53 and -85
  Swap 53 and -85
  List after swap: [35, -85, 53, 75]

Pass 3:
  Compare 35 and -85
  Swap 35 and -85
  List after swap: [-85, 35, 53, 75]

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

Final sorted list: [-85, 35, 53, 75]
</think>

<response>-85, 35, 53, 75</response>


input: Carry out the bubble sort algorithm on -52, 37 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-52, 37]

Pass 1:
  Compare -52 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, 37]
</think>

<response>-52, 37</response>


input: Carry out the bubble sort algorithm on 14, -60, -31, -3, 65 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [14, -60, -31, -3, 65]

Pass 1:
  Compare 14 and -60
  Swap 14 and -60
  List after swap: [-60, 14, -31, -3, 65]
  Compare 14 and -31
  Swap 14 and -31
  List after swap: [-60, -31, 14, -3, 65]
  Compare 14 and -3
  Swap 14 and -3
  List after swap: [-60, -31, -3, 14, 65]
  Compare 14 and 65
  No swap needed

Pass 2:
  Compare -60 and -31
  No swap needed
  Compare -31 and -3
  No swap needed
  Compare -3 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -31, -3, 14, 65]
</think>

<response>-60, -31, -3, 14, 65</response>


input: Sort the list 92, 97, 15, 13, 56, 8, 58, -33, -87, 18 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [92, 97, 15, 13, 56, 8, 58, -33, -87, 18]

Pass 1:
  Compare 92 and 97
  No swap needed
  Compare 97 and 15
  Swap 97 and 15
  List after swap: [92, 15, 97, 13, 56, 8, 58, -33, -87, 18]
  Compare 97 and 13
  Swap 97 and 13
  List after swap: [92, 15, 13, 97, 56, 8, 58, -33, -87, 18]
  Compare 97 and 56
  Swap 97 and 56
  List after swap: [92, 15, 13, 56, 97, 8, 58, -33, -87, 18]
  Compare 97 and 8
  Swap 97 and 8
  List after swap: [92, 15, 13, 56, 8, 97, 58, -33, -87, 18]
  Compare 97 and 58
  Swap 97 and 58
  List after swap: [92, 15, 13, 56, 8, 58, 97, -33, -87, 18]
  Compare 97 and -33
  Swap 97 and -33
  List after swap: [92, 15, 13, 56, 8, 58, -33, 97, -87, 18]
  Compare 97 and -87
  Swap 97 and -87
  List after swap: [92, 15, 13, 56, 8, 58, -33, -87, 97, 18]
  Compare 97 and 18
  Swap 97 and 18
  List after swap: [92, 15, 13, 56, 8, 58, -33, -87, 18, 97]

Pass 2:
  Compare 92 and 15
  Swap 92 and 15
  List after swap: [15, 92, 13, 56, 8, 58, -33, -87, 18, 97]
  Compare 92 and 13
  Swap 92 and 13
  List after swap: [15, 13, 92, 56, 8, 58, -33, -87, 18, 97]
  Compare 92 and 56
  Swap 92 and 56
  List after swap: [15, 13, 56, 92, 8, 58, -33, -87, 18, 97]
  Compare 92 and 8
  Swap 92 and 8
  List after swap: [15, 13, 56, 8, 92, 58, -33, -87, 18, 97]
  Compare 92 and 58
  Swap 92 and 58
  List after swap: [15, 13, 56, 8, 58, 92, -33, -87, 18, 97]
  Compare 92 and -33
  Swap 92 and -33
  List after swap: [15, 13, 56, 8, 58, -33, 92, -87, 18, 97]
  Compare 92 and -87
  Swap 92 and -87
  List after swap: [15, 13, 56, 8, 58, -33, -87, 92, 18, 97]
  Compare 92 and 18
  Swap 92 and 18
  List after swap: [15, 13, 56, 8, 58, -33, -87, 18, 92, 97]

Pass 3:
  Compare 15 and 13
  Swap 15 and 13
  List after swap: [13, 15, 56, 8, 58, -33, -87, 18, 92, 97]
  Compare 15 and 56
  No swap needed
  Compare 56 and 8
  Swap 56 and 8
  List after swap: [13, 15, 8, 56, 58, -33, -87, 18, 92, 97]
  Compare 56 and 58
  No swap needed
  Compare 58 and -33
  Swap 58 and -33
  List after swap: [13, 15, 8, 56, -33, 58, -87, 18, 92, 97]
  Compare 58 and -87
  Swap 58 and -87
  List after swap: [13, 15, 8, 56, -33, -87, 58, 18, 92, 97]
  Compare 58 and 18
  Swap 58 and 18
  List after swap: [13, 15, 8, 56, -33, -87, 18, 58, 92, 97]

Pass 4:
  Compare 13 and 15
  No swap needed
  Compare 15 and 8
  Swap 15 and 8
  List after swap: [13, 8, 15, 56, -33, -87, 18, 58, 92, 97]
  Compare 15 and 56
  No swap needed
  Compare 56 and -33
  Swap 56 and -33
  List after swap: [13, 8, 15, -33, 56, -87, 18, 58, 92, 97]
  Compare 56 and -87
  Swap 56 and -87
  List after swap: [13, 8, 15, -33, -87, 56, 18, 58, 92, 97]
  Compare 56 and 18
  Swap 56 and 18
  List after swap: [13, 8, 15, -33, -87, 18, 56, 58, 92, 97]

Pass 5:
  Compare 13 and 8
  Swap 13 and 8
  List after swap: [8, 13, 15, -33, -87, 18, 56, 58, 92, 97]
  Compare 13 and 15
  No swap needed
  Compare 15 and -33
  Swap 15 and -33
  List after swap: [8, 13, -33, 15, -87, 18, 56, 58, 92, 97]
  Compare 15 and -87
  Swap 15 and -87
  List after swap: [8, 13, -33, -87, 15, 18, 56, 58, 92, 97]
  Compare 15 and 18
  No swap needed

Pass 6:
  Compare 8 and 13
  No swap needed
  Compare 13 and -33
  Swap 13 and -33
  List after swap: [8, -33, 13, -87, 15, 18, 56, 58, 92, 97]
  Compare 13 and -87
  Swap 13 and -87
  List after swap: [8, -33, -87, 13, 15, 18, 56, 58, 92, 97]
  Compare 13 and 15
  No swap needed

Pass 7:
  Compare 8 and -33
  Swap 8 and -33
  List after swap: [-33, 8, -87, 13, 15, 18, 56, 58, 92, 97]
  Compare 8 and -87
  Swap 8 and -87
  List after swap: [-33, -87, 8, 13, 15, 18, 56, 58, 92, 97]
  Compare 8 and 13
  No swap needed

Pass 8:
  Compare -33 and -87
  Swap -33 and -87
  List after swap: [-87, -33, 8, 13, 15, 18, 56, 58, 92, 97]
  Compare -33 and 8
  No swap needed

Pass 9:
  Compare -87 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -33, 8, 13, 15, 18, 56, 58, 92, 97]
</think>

<response>-87, -33, 8, 13, 15, 18, 56, 58, 92, 97</response>


input: Demonstrate how bubble sort orders the integers 11, -39, -91, 91, 27 in ascending sequence, showing all steps.

output:
<think>
Initial list: [11, -39, -91, 91, 27]

Pass 1:
  Compare 11 and -39
  Swap 11 and -39
  List after swap: [-39, 11, -91, 91, 27]
  Compare 11 and -91
  Swap 11 and -91
  List after swap: [-39, -91, 11, 91, 27]
  Compare 11 and 91
  No swap needed
  Compare 91 and 27
  Swap 91 and 27
  List after swap: [-39, -91, 11, 27, 91]

Pass 2:
  Compare -39 and -91
  Swap -39 and -91
  List after swap: [-91, -39, 11, 27, 91]
  Compare -39 and 11
  No swap needed
  Compare 11 and 27
  No swap needed

Pass 3:
  Compare -91 and -39
  No swap needed
  Compare -39 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -39, 11, 27, 91]
</think>

<response>-91, -39, 11, 27, 91</response>


input: Sort the list 78, -80, -6, 43, 75, -8, 95, 87 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [78, -80, -6, 43, 75, -8, 95, 87]

Pass 1:
  Compare 78 and -80
  Swap 78 and -80
  List after swap: [-80, 78, -6, 43, 75, -8, 95, 87]
  Compare 78 and -6
  Swap 78 and -6
  List after swap: [-80, -6, 78, 43, 75, -8, 95, 87]
  Compare 78 and 43
  Swap 78 and 43
  List after swap: [-80, -6, 43, 78, 75, -8, 95, 87]
  Compare 78 and 75
  Swap 78 and 75
  List after swap: [-80, -6, 43, 75, 78, -8, 95, 87]
  Compare 78 and -8
  Swap 78 and -8
  List after swap: [-80, -6, 43, 75, -8, 78, 95, 87]
  Compare 78 and 95
  No swap needed
  Compare 95 and 87
  Swap 95 and 87
  List after swap: [-80, -6, 43, 75, -8, 78, 87, 95]

Pass 2:
  Compare -80 and -6
  No swap needed
  Compare -6 and 43
  No swap needed
  Compare 43 and 75
  No swap needed
  Compare 75 and -8
  Swap 75 and -8
  List after swap: [-80, -6, 43, -8, 75, 78, 87, 95]
  Compare 75 and 78
  No swap needed
  Compare 78 and 87
  No swap needed

Pass 3:
  Compare -80 and -6
  No swap needed
  Compare -6 and 43
  No swap needed
  Compare 43 and -8
  Swap 43 and -8
  List after swap: [-80, -6, -8, 43, 75, 78, 87, 95]
  Compare 43 and 75
  No swap needed
  Compare 75 and 78
  No swap needed

Pass 4:
  Compare -80 and -6
  No swap needed
  Compare -6 and -8
  Swap -6 and -8
  List after swap: [-80, -8, -6, 43, 75, 78, 87, 95]
  Compare -6 and 43
  No swap needed
  Compare 43 and 75
  No swap needed

Pass 5:
  Compare -80 and -8
  No swap needed
  Compare -8 and -6
  No swap needed
  Compare -6 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -8, -6, 43, 75, 78, 87, 95]
</think>

<response>-80, -8, -6, 43, 75, 78, 87, 95</response>


input: Execute bubble sort to sort -7, -29, -90, -21, 75, 1 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-7, -29, -90, -21, 75, 1]

Pass 1:
  Compare -7 and -29
  Swap -7 and -29
  List after swap: [-29, -7, -90, -21, 75, 1]
  Compare -7 and -90
  Swap -7 and -90
  List after swap: [-29, -90, -7, -21, 75, 1]
  Compare -7 and -21
  Swap -7 and -21
  List after swap: [-29, -90, -21, -7, 75, 1]
  Compare -7 and 75
  No swap needed
  Compare 75 and 1
  Swap 75 and 1
  List after swap: [-29, -90, -21, -7, 1, 75]

Pass 2:
  Compare -29 and -90
  Swap -29 and -90
  List after swap: [-90, -29, -21, -7, 1, 75]
  Compare -29 and -21
  No swap needed
  Compare -21 and -7
  No swap needed
  Compare -7 and 1
  No swap needed

Pass 3:
  Compare -90 and -29
  No swap needed
  Compare -29 and -21
  No swap needed
  Compare -21 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -29, -21, -7, 1, 75]
</think>

<response>-90, -29, -21, -7, 1, 75</response>


input: Carry out the bubble sort algorithm on 92, 43, -65, 37, -2, -29, -94 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [92, 43, -65, 37, -2, -29, -94]

Pass 1:
  Compare 92 and 43
  Swap 92 and 43
  List after swap: [43, 92, -65, 37, -2, -29, -94]
  Compare 92 and -65
  Swap 92 and -65
  List after swap: [43, -65, 92, 37, -2, -29, -94]
  Compare 92 and 37
  Swap 92 and 37
  List after swap: [43, -65, 37, 92, -2, -29, -94]
  Compare 92 and -2
  Swap 92 and -2
  List after swap: [43, -65, 37, -2, 92, -29, -94]
  Compare 92 and -29
  Swap 92 and -29
  List after swap: [43, -65, 37, -2, -29, 92, -94]
  Compare 92 and -94
  Swap 92 and -94
  List after swap: [43, -65, 37, -2, -29, -94, 92]

Pass 2:
  Compare 43 and -65
  Swap 43 and -65
  List after swap: [-65, 43, 37, -2, -29, -94, 92]
  Compare 43 and 37
  Swap 43 and 37
  List after swap: [-65, 37, 43, -2, -29, -94, 92]
  Compare 43 and -2
  Swap 43 and -2
  List after swap: [-65, 37, -2, 43, -29, -94, 92]
  Compare 43 and -29
  Swap 43 and -29
  List after swap: [-65, 37, -2, -29, 43, -94, 92]
  Compare 43 and -94
  Swap 43 and -94
  List after swap: [-65, 37, -2, -29, -94, 43, 92]

Pass 3:
  Compare -65 and 37
  No swap needed
  Compare 37 and -2
  Swap 37 and -2
  List after swap: [-65, -2, 37, -29, -94, 43, 92]
  Compare 37 and -29
  Swap 37 and -29
  List after swap: [-65, -2, -29, 37, -94, 43, 92]
  Compare 37 and -94
  Swap 37 and -94
  List after swap: [-65, -2, -29, -94, 37, 43, 92]

Pass 4:
  Compare -65 and -2
  No swap needed
  Compare -2 and -29
  Swap -2 and -29
  List after swap: [-65, -29, -2, -94, 37, 43, 92]
  Compare -2 and -94
  Swap -2 and -94
  List after swap: [-65, -29, -94, -2, 37, 43, 92]

Pass 5:
  Compare -65 and -29
  No swap needed
  Compare -29 and -94
  Swap -29 and -94
  List after swap: [-65, -94, -29, -2, 37, 43, 92]

Pass 6:
  Compare -65 and -94
  Swap -65 and -94
  List after swap: [-94, -65, -29, -2, 37, 43, 92]

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

Final sorted list: [-94, -65, -29, -2, 37, 43, 92]
</think>

<response>-94, -65, -29, -2, 37, 43, 92</response>


input: Sort the list 25, 59, 39, -15 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [25, 59, 39, -15]

Pass 1:
  Compare 25 and 59
  No swap needed
  Compare 59 and 39
  Swap 59 and 39
  List after swap: [25, 39, 59, -15]
  Compare 59 and -15
  Swap 59 and -15
  List after swap: [25, 39, -15, 59]

Pass 2:
  Compare 25 and 39
  No swap needed
  Compare 39 and -15
  Swap 39 and -15
  List after swap: [25, -15, 39, 59]

Pass 3:
  Compare 25 and -15
  Swap 25 and -15
  List after swap: [-15, 25, 39, 59]

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

Final sorted list: [-15, 25, 39, 59]
</think>

<response>-15, 25, 39, 59</response>


input: Implement bubble sort on 29, -46, 94, -60, 85 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [29, -46, 94, -60, 85]

Pass 1:
  Compare 29 and -46
  Swap 29 and -46
  List after swap: [-46, 29, 94, -60, 85]
  Compare 29 and 94
  No swap needed
  Compare 94 and -60
  Swap 94 and -60
  List after swap: [-46, 29, -60, 94, 85]
  Compare 94 and 85
  Swap 94 and 85
  List after swap: [-46, 29, -60, 85, 94]

Pass 2:
  Compare -46 and 29
  No swap needed
  Compare 29 and -60
  Swap 29 and -60
  List after swap: [-46, -60, 29, 85, 94]
  Compare 29 and 85
  No swap needed

Pass 3:
  Compare -46 and -60
  Swap -46 and -60
  List after swap: [-60, -46, 29, 85, 94]
  Compare -46 and 29
  No swap needed

Pass 4:
  Compare -60 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -46, 29, 85, 94]
</think>

<response>-60, -46, 29, 85, 94</response>


input: Using the bubble sort method, sort 34, 63, -43, 33, 32, 55, -24 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [34, 63, -43, 33, 32, 55, -24]

Pass 1:
  Compare 34 and 63
  No swap needed
  Compare 63 and -43
  Swap 63 and -43
  List after swap: [34, -43, 63, 33, 32, 55, -24]
  Compare 63 and 33
  Swap 63 and 33
  List after swap: [34, -43, 33, 63, 32, 55, -24]
  Compare 63 and 32
  Swap 63 and 32
  List after swap: [34, -43, 33, 32, 63, 55, -24]
  Compare 63 and 55
  Swap 63 and 55
  List after swap: [34, -43, 33, 32, 55, 63, -24]
  Compare 63 and -24
  Swap 63 and -24
  List after swap: [34, -43, 33, 32, 55, -24, 63]

Pass 2:
  Compare 34 and -43
  Swap 34 and -43
  List after swap: [-43, 34, 33, 32, 55, -24, 63]
  Compare 34 and 33
  Swap 34 and 33
  List after swap: [-43, 33, 34, 32, 55, -24, 63]
  Compare 34 and 32
  Swap 34 and 32
  List after swap: [-43, 33, 32, 34, 55, -24, 63]
  Compare 34 and 55
  No swap needed
  Compare 55 and -24
  Swap 55 and -24
  List after swap: [-43, 33, 32, 34, -24, 55, 63]

Pass 3:
  Compare -43 and 33
  No swap needed
  Compare 33 and 32
  Swap 33 and 32
  List after swap: [-43, 32, 33, 34, -24, 55, 63]
  Compare 33 and 34
  No swap needed
  Compare 34 and -24
  Swap 34 and -24
  List after swap: [-43, 32, 33, -24, 34, 55, 63]

Pass 4:
  Compare -43 and 32
  No swap needed
  Compare 32 and 33
  No swap needed
  Compare 33 and -24
  Swap 33 and -24
  List after swap: [-43, 32, -24, 33, 34, 55, 63]

Pass 5:
  Compare -43 and 32
  No swap needed
  Compare 32 and -24
  Swap 32 and -24
  List after swap: [-43, -24, 32, 33, 34, 55, 63]

Pass 6:
  Compare -43 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -24, 32, 33, 34, 55, 63]
</think>

<response>-43, -24, 32, 33, 34, 55, 63</response>


input: Sort these integers -60, 58, 20, -34, -80, 31 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-60, 58, 20, -34, -80, 31]

Pass 1:
  Compare -60 and 58
  No swap needed
  Compare 58 and 20
  Swap 58 and 20
  List after swap: [-60, 20, 58, -34, -80, 31]
  Compare 58 and -34
  Swap 58 and -34
  List after swap: [-60, 20, -34, 58, -80, 31]
  Compare 58 and -80
  Swap 58 and -80
  List after swap: [-60, 20, -34, -80, 58, 31]
  Compare 58 and 31
  Swap 58 and 31
  List after swap: [-60, 20, -34, -80, 31, 58]

Pass 2:
  Compare -60 and 20
  No swap needed
  Compare 20 and -34
  Swap 20 and -34
  List after swap: [-60, -34, 20, -80, 31, 58]
  Compare 20 and -80
  Swap 20 and -80
  List after swap: [-60, -34, -80, 20, 31, 58]
  Compare 20 and 31
  No swap needed

Pass 3:
  Compare -60 and -34
  No swap needed
  Compare -34 and -80
  Swap -34 and -80
  List after swap: [-60, -80, -34, 20, 31, 58]
  Compare -34 and 20
  No swap needed

Pass 4:
  Compare -60 and -80
  Swap -60 and -80
  List after swap: [-80, -60, -34, 20, 31, 58]
  Compare -60 and -34
  No swap needed

Pass 5:
  Compare -80 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -60, -34, 20, 31, 58]
</think>

<response>-80, -60, -34, 20, 31, 58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 46, -55, 64, -90, 60, -66, -9, 96, 82.

output:
<think>
Initial list: [46, -55, 64, -90, 60, -66, -9, 96, 82]

Pass 1:
  Compare 46 and -55
  Swap 46 and -55
  List after swap: [-55, 46, 64, -90, 60, -66, -9, 96, 82]
  Compare 46 and 64
  No swap needed
  Compare 64 and -90
  Swap 64 and -90
  List after swap: [-55, 46, -90, 64, 60, -66, -9, 96, 82]
  Compare 64 and 60
  Swap 64 and 60
  List after swap: [-55, 46, -90, 60, 64, -66, -9, 96, 82]
  Compare 64 and -66
  Swap 64 and -66
  List after swap: [-55, 46, -90, 60, -66, 64, -9, 96, 82]
  Compare 64 and -9
  Swap 64 and -9
  List after swap: [-55, 46, -90, 60, -66, -9, 64, 96, 82]
  Compare 64 and 96
  No swap needed
  Compare 96 and 82
  Swap 96 and 82
  List after swap: [-55, 46, -90, 60, -66, -9, 64, 82, 96]

Pass 2:
  Compare -55 and 46
  No swap needed
  Compare 46 and -90
  Swap 46 and -90
  List after swap: [-55, -90, 46, 60, -66, -9, 64, 82, 96]
  Compare 46 and 60
  No swap needed
  Compare 60 and -66
  Swap 60 and -66
  List after swap: [-55, -90, 46, -66, 60, -9, 64, 82, 96]
  Compare 60 and -9
  Swap 60 and -9
  List after swap: [-55, -90, 46, -66, -9, 60, 64, 82, 96]
  Compare 60 and 64
  No swap needed
  Compare 64 and 82
  No swap needed

Pass 3:
  Compare -55 and -90
  Swap -55 and -90
  List after swap: [-90, -55, 46, -66, -9, 60, 64, 82, 96]
  Compare -55 and 46
  No swap needed
  Compare 46 and -66
  Swap 46 and -66
  List after swap: [-90, -55, -66, 46, -9, 60, 64, 82, 96]
  Compare 46 and -9
  Swap 46 and -9
  List after swap: [-90, -55, -66, -9, 46, 60, 64, 82, 96]
  Compare 46 and 60
  No swap needed
  Compare 60 and 64
  No swap needed

Pass 4:
  Compare -90 and -55
  No swap needed
  Compare -55 and -66
  Swap -55 and -66
  List after swap: [-90, -66, -55, -9, 46, 60, 64, 82, 96]
  Compare -55 and -9
  No swap needed
  Compare -9 and 46
  No swap needed
  Compare 46 and 60
  No swap needed

Pass 5:
  Compare -90 and -66
  No swap needed
  Compare -66 and -55
  No swap needed
  Compare -55 and -9
  No swap needed
  Compare -9 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -66, -55, -9, 46, 60, 64, 82, 96]
</think>

<response>-90, -66, -55, -9, 46, 60, 64, 82, 96</response>


input: Carry out the bubble sort algorithm on 1, 39, -97, -74, -86, 43, -96, -12, -76, -23 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [1, 39, -97, -74, -86, 43, -96, -12, -76, -23]

Pass 1:
  Compare 1 and 39
  No swap needed
  Compare 39 and -97
  Swap 39 and -97
  List after swap: [1, -97, 39, -74, -86, 43, -96, -12, -76, -23]
  Compare 39 and -74
  Swap 39 and -74
  List after swap: [1, -97, -74, 39, -86, 43, -96, -12, -76, -23]
  Compare 39 and -86
  Swap 39 and -86
  List after swap: [1, -97, -74, -86, 39, 43, -96, -12, -76, -23]
  Compare 39 and 43
  No swap needed
  Compare 43 and -96
  Swap 43 and -96
  List after swap: [1, -97, -74, -86, 39, -96, 43, -12, -76, -23]
  Compare 43 and -12
  Swap 43 and -12
  List after swap: [1, -97, -74, -86, 39, -96, -12, 43, -76, -23]
  Compare 43 and -76
  Swap 43 and -76
  List after swap: [1, -97, -74, -86, 39, -96, -12, -76, 43, -23]
  Compare 43 and -23
  Swap 43 and -23
  List after swap: [1, -97, -74, -86, 39, -96, -12, -76, -23, 43]

Pass 2:
  Compare 1 and -97
  Swap 1 and -97
  List after swap: [-97, 1, -74, -86, 39, -96, -12, -76, -23, 43]
  Compare 1 and -74
  Swap 1 and -74
  List after swap: [-97, -74, 1, -86, 39, -96, -12, -76, -23, 43]
  Compare 1 and -86
  Swap 1 and -86
  List after swap: [-97, -74, -86, 1, 39, -96, -12, -76, -23, 43]
  Compare 1 and 39
  No swap needed
  Compare 39 and -96
  Swap 39 and -96
  List after swap: [-97, -74, -86, 1, -96, 39, -12, -76, -23, 43]
  Compare 39 and -12
  Swap 39 and -12
  List after swap: [-97, -74, -86, 1, -96, -12, 39, -76, -23, 43]
  Compare 39 and -76
  Swap 39 and -76
  List after swap: [-97, -74, -86, 1, -96, -12, -76, 39, -23, 43]
  Compare 39 and -23
  Swap 39 and -23
  List after swap: [-97, -74, -86, 1, -96, -12, -76, -23, 39, 43]

Pass 3:
  Compare -97 and -74
  No swap needed
  Compare -74 and -86
  Swap -74 and -86
  List after swap: [-97, -86, -74, 1, -96, -12, -76, -23, 39, 43]
  Compare -74 and 1
  No swap needed
  Compare 1 and -96
  Swap 1 and -96
  List after swap: [-97, -86, -74, -96, 1, -12, -76, -23, 39, 43]
  Compare 1 and -12
  Swap 1 and -12
  List after swap: [-97, -86, -74, -96, -12, 1, -76, -23, 39, 43]
  Compare 1 and -76
  Swap 1 and -76
  List after swap: [-97, -86, -74, -96, -12, -76, 1, -23, 39, 43]
  Compare 1 and -23
  Swap 1 and -23
  List after swap: [-97, -86, -74, -96, -12, -76, -23, 1, 39, 43]

Pass 4:
  Compare -97 and -86
  No swap needed
  Compare -86 and -74
  No swap needed
  Compare -74 and -96
  Swap -74 and -96
  List after swap: [-97, -86, -96, -74, -12, -76, -23, 1, 39, 43]
  Compare -74 and -12
  No swap needed
  Compare -12 and -76
  Swap -12 and -76
  List after swap: [-97, -86, -96, -74, -76, -12, -23, 1, 39, 43]
  Compare -12 and -23
  Swap -12 and -23
  List after swap: [-97, -86, -96, -74, -76, -23, -12, 1, 39, 43]

Pass 5:
  Compare -97 and -86
  No swap needed
  Compare -86 and -96
  Swap -86 and -96
  List after swap: [-97, -96, -86, -74, -76, -23, -12, 1, 39, 43]
  Compare -86 and -74
  No swap needed
  Compare -74 and -76
  Swap -74 and -76
  List after swap: [-97, -96, -86, -76, -74, -23, -12, 1, 39, 43]
  Compare -74 and -23
  No swap needed

Pass 6:
  Compare -97 and -96
  No swap needed
  Compare -96 and -86
  No swap needed
  Compare -86 and -76
  No swap needed
  Compare -76 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -96, -86, -76, -74, -23, -12, 1, 39, 43]
</think>

<response>-97, -96, -86, -76, -74, -23, -12, 1, 39, 43</response>


input: Carry out the bubble sort algorithm on 50, -52, 67, 58, 10, 37, 62, -41 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [50, -52, 67, 58, 10, 37, 62, -41]

Pass 1:
  Compare 50 and -52
  Swap 50 and -52
  List after swap: [-52, 50, 67, 58, 10, 37, 62, -41]
  Compare 50 and 67
  No swap needed
  Compare 67 and 58
  Swap 67 and 58
  List after swap: [-52, 50, 58, 67, 10, 37, 62, -41]
  Compare 67 and 10
  Swap 67 and 10
  List after swap: [-52, 50, 58, 10, 67, 37, 62, -41]
  Compare 67 and 37
  Swap 67 and 37
  List after swap: [-52, 50, 58, 10, 37, 67, 62, -41]
  Compare 67 and 62
  Swap 67 and 62
  List after swap: [-52, 50, 58, 10, 37, 62, 67, -41]
  Compare 67 and -41
  Swap 67 and -41
  List after swap: [-52, 50, 58, 10, 37, 62, -41, 67]

Pass 2:
  Compare -52 and 50
  No swap needed
  Compare 50 and 58
  No swap needed
  Compare 58 and 10
  Swap 58 and 10
  List after swap: [-52, 50, 10, 58, 37, 62, -41, 67]
  Compare 58 and 37
  Swap 58 and 37
  List after swap: [-52, 50, 10, 37, 58, 62, -41, 67]
  Compare 58 and 62
  No swap needed
  Compare 62 and -41
  Swap 62 and -41
  List after swap: [-52, 50, 10, 37, 58, -41, 62, 67]

Pass 3:
  Compare -52 and 50
  No swap needed
  Compare 50 and 10
  Swap 50 and 10
  List after swap: [-52, 10, 50, 37, 58, -41, 62, 67]
  Compare 50 and 37
  Swap 50 and 37
  List after swap: [-52, 10, 37, 50, 58, -41, 62, 67]
  Compare 50 and 58
  No swap needed
  Compare 58 and -41
  Swap 58 and -41
  List after swap: [-52, 10, 37, 50, -41, 58, 62, 67]

Pass 4:
  Compare -52 and 10
  No swap needed
  Compare 10 and 37
  No swap needed
  Compare 37 and 50
  No swap needed
  Compare 50 and -41
  Swap 50 and -41
  List after swap: [-52, 10, 37, -41, 50, 58, 62, 67]

Pass 5:
  Compare -52 and 10
  No swap needed
  Compare 10 and 37
  No swap needed
  Compare 37 and -41
  Swap 37 and -41
  List after swap: [-52, 10, -41, 37, 50, 58, 62, 67]

Pass 6:
  Compare -52 and 10
  No swap needed
  Compare 10 and -41
  Swap 10 and -41
  List after swap: [-52, -41, 10, 37, 50, 58, 62, 67]

Pass 7:
  Compare -52 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -41, 10, 37, 50, 58, 62, 67]
</think>

<response>-52, -41, 10, 37, 50, 58, 62, 67</response>


input: Using the bubble sort method, sort -55, 19, 98 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-55, 19, 98]

Pass 1:
  Compare -55 and 19
  No swap needed
  Compare 19 and 98
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, 19, 98]
</think>

<response>-55, 19, 98</response>


input: Using the bubble sort method, sort 3, -39, 2, 0, -27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [3, -39, 2, 0, -27]

Pass 1:
  Compare 3 and -39
  Swap 3 and -39
  List after swap: [-39, 3, 2, 0, -27]
  Compare 3 and 2
  Swap 3 and 2
  List after swap: [-39, 2, 3, 0, -27]
  Compare 3 and 0
  Swap 3 and 0
  List after swap: [-39, 2, 0, 3, -27]
  Compare 3 and -27
  Swap 3 and -27
  List after swap: [-39, 2, 0, -27, 3]

Pass 2:
  Compare -39 and 2
  No swap needed
  Compare 2 and 0
  Swap 2 and 0
  List after swap: [-39, 0, 2, -27, 3]
  Compare 2 and -27
  Swap 2 and -27
  List after swap: [-39, 0, -27, 2, 3]

Pass 3:
  Compare -39 and 0
  No swap needed
  Compare 0 and -27
  Swap 0 and -27
  List after swap: [-39, -27, 0, 2, 3]

Pass 4:
  Compare -39 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -27, 0, 2, 3]
</think>

<response>-39, -27, 0, 2, 3</response>