input: Using the bubble sort method, sort 5, -48, 56, -80, -1, -72, 30, -59 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [5, -48, 56, -80, -1, -72, 30, -59]

Pass 1:
  Compare 5 and -48
  Swap 5 and -48
  List after swap: [-48, 5, 56, -80, -1, -72, 30, -59]
  Compare 5 and 56
  No swap needed
  Compare 56 and -80
  Swap 56 and -80
  List after swap: [-48, 5, -80, 56, -1, -72, 30, -59]
  Compare 56 and -1
  Swap 56 and -1
  List after swap: [-48, 5, -80, -1, 56, -72, 30, -59]
  Compare 56 and -72
  Swap 56 and -72
  List after swap: [-48, 5, -80, -1, -72, 56, 30, -59]
  Compare 56 and 30
  Swap 56 and 30
  List after swap: [-48, 5, -80, -1, -72, 30, 56, -59]
  Compare 56 and -59
  Swap 56 and -59
  List after swap: [-48, 5, -80, -1, -72, 30, -59, 56]

Pass 2:
  Compare -48 and 5
  No swap needed
  Compare 5 and -80
  Swap 5 and -80
  List after swap: [-48, -80, 5, -1, -72, 30, -59, 56]
  Compare 5 and -1
  Swap 5 and -1
  List after swap: [-48, -80, -1, 5, -72, 30, -59, 56]
  Compare 5 and -72
  Swap 5 and -72
  List after swap: [-48, -80, -1, -72, 5, 30, -59, 56]
  Compare 5 and 30
  No swap needed
  Compare 30 and -59
  Swap 30 and -59
  List after swap: [-48, -80, -1, -72, 5, -59, 30, 56]

Pass 3:
  Compare -48 and -80
  Swap -48 and -80
  List after swap: [-80, -48, -1, -72, 5, -59, 30, 56]
  Compare -48 and -1
  No swap needed
  Compare -1 and -72
  Swap -1 and -72
  List after swap: [-80, -48, -72, -1, 5, -59, 30, 56]
  Compare -1 and 5
  No swap needed
  Compare 5 and -59
  Swap 5 and -59
  List after swap: [-80, -48, -72, -1, -59, 5, 30, 56]

Pass 4:
  Compare -80 and -48
  No swap needed
  Compare -48 and -72
  Swap -48 and -72
  List after swap: [-80, -72, -48, -1, -59, 5, 30, 56]
  Compare -48 and -1
  No swap needed
  Compare -1 and -59
  Swap -1 and -59
  List after swap: [-80, -72, -48, -59, -1, 5, 30, 56]

Pass 5:
  Compare -80 and -72
  No swap needed
  Compare -72 and -48
  No swap needed
  Compare -48 and -59
  Swap -48 and -59
  List after swap: [-80, -72, -59, -48, -1, 5, 30, 56]

Pass 6:
  Compare -80 and -72
  No swap needed
  Compare -72 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -72, -59, -48, -1, 5, 30, 56]
</think>

<response>-80, -72, -59, -48, -1, 5, 30, 56</response>


input: Sort the list -51, 77, -64, 89 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-51, 77, -64, 89]

Pass 1:
  Compare -51 and 77
  No swap needed
  Compare 77 and -64
  Swap 77 and -64
  List after swap: [-51, -64, 77, 89]
  Compare 77 and 89
  No swap needed

Pass 2:
  Compare -51 and -64
  Swap -51 and -64
  List after swap: [-64, -51, 77, 89]
  Compare -51 and 77
  No swap needed

Pass 3:
  Compare -64 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -51, 77, 89]
</think>

<response>-64, -51, 77, 89</response>


input: Demonstrate how bubble sort orders the integers 19, -13, -37, -28, -49, 72 in ascending sequence, showing all steps.

output:
<think>
Initial list: [19, -13, -37, -28, -49, 72]

Pass 1:
  Compare 19 and -13
  Swap 19 and -13
  List after swap: [-13, 19, -37, -28, -49, 72]
  Compare 19 and -37
  Swap 19 and -37
  List after swap: [-13, -37, 19, -28, -49, 72]
  Compare 19 and -28
  Swap 19 and -28
  List after swap: [-13, -37, -28, 19, -49, 72]
  Compare 19 and -49
  Swap 19 and -49
  List after swap: [-13, -37, -28, -49, 19, 72]
  Compare 19 and 72
  No swap needed

Pass 2:
  Compare -13 and -37
  Swap -13 and -37
  List after swap: [-37, -13, -28, -49, 19, 72]
  Compare -13 and -28
  Swap -13 and -28
  List after swap: [-37, -28, -13, -49, 19, 72]
  Compare -13 and -49
  Swap -13 and -49
  List after swap: [-37, -28, -49, -13, 19, 72]
  Compare -13 and 19
  No swap needed

Pass 3:
  Compare -37 and -28
  No swap needed
  Compare -28 and -49
  Swap -28 and -49
  List after swap: [-37, -49, -28, -13, 19, 72]
  Compare -28 and -13
  No swap needed

Pass 4:
  Compare -37 and -49
  Swap -37 and -49
  List after swap: [-49, -37, -28, -13, 19, 72]
  Compare -37 and -28
  No swap needed

Pass 5:
  Compare -49 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -37, -28, -13, 19, 72]
</think>

<response>-49, -37, -28, -13, 19, 72</response>


input: Arrange the numbers 53, -68, 61, -56, -58, 28, 57 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [53, -68, 61, -56, -58, 28, 57]

Pass 1:
  Compare 53 and -68
  Swap 53 and -68
  List after swap: [-68, 53, 61, -56, -58, 28, 57]
  Compare 53 and 61
  No swap needed
  Compare 61 and -56
  Swap 61 and -56
  List after swap: [-68, 53, -56, 61, -58, 28, 57]
  Compare 61 and -58
  Swap 61 and -58
  List after swap: [-68, 53, -56, -58, 61, 28, 57]
  Compare 61 and 28
  Swap 61 and 28
  List after swap: [-68, 53, -56, -58, 28, 61, 57]
  Compare 61 and 57
  Swap 61 and 57
  List after swap: [-68, 53, -56, -58, 28, 57, 61]

Pass 2:
  Compare -68 and 53
  No swap needed
  Compare 53 and -56
  Swap 53 and -56
  List after swap: [-68, -56, 53, -58, 28, 57, 61]
  Compare 53 and -58
  Swap 53 and -58
  List after swap: [-68, -56, -58, 53, 28, 57, 61]
  Compare 53 and 28
  Swap 53 and 28
  List after swap: [-68, -56, -58, 28, 53, 57, 61]
  Compare 53 and 57
  No swap needed

Pass 3:
  Compare -68 and -56
  No swap needed
  Compare -56 and -58
  Swap -56 and -58
  List after swap: [-68, -58, -56, 28, 53, 57, 61]
  Compare -56 and 28
  No swap needed
  Compare 28 and 53
  No swap needed

Pass 4:
  Compare -68 and -58
  No swap needed
  Compare -58 and -56
  No swap needed
  Compare -56 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -58, -56, 28, 53, 57, 61]
</think>

<response>-68, -58, -56, 28, 53, 57, 61</response>


input: Perform a bubble sort on the integers 46, 26, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [46, 26]

Pass 1:
  Compare 46 and 26
  Swap 46 and 26
  List after swap: [26, 46]

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

Final sorted list: [26, 46]
</think>

<response>26, 46</response>


input: Demonstrate how bubble sort orders the integers -50, -41, -78, 64, 6, -96, 53, -19, -77 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-50, -41, -78, 64, 6, -96, 53, -19, -77]

Pass 1:
  Compare -50 and -41
  No swap needed
  Compare -41 and -78
  Swap -41 and -78
  List after swap: [-50, -78, -41, 64, 6, -96, 53, -19, -77]
  Compare -41 and 64
  No swap needed
  Compare 64 and 6
  Swap 64 and 6
  List after swap: [-50, -78, -41, 6, 64, -96, 53, -19, -77]
  Compare 64 and -96
  Swap 64 and -96
  List after swap: [-50, -78, -41, 6, -96, 64, 53, -19, -77]
  Compare 64 and 53
  Swap 64 and 53
  List after swap: [-50, -78, -41, 6, -96, 53, 64, -19, -77]
  Compare 64 and -19
  Swap 64 and -19
  List after swap: [-50, -78, -41, 6, -96, 53, -19, 64, -77]
  Compare 64 and -77
  Swap 64 and -77
  List after swap: [-50, -78, -41, 6, -96, 53, -19, -77, 64]

Pass 2:
  Compare -50 and -78
  Swap -50 and -78
  List after swap: [-78, -50, -41, 6, -96, 53, -19, -77, 64]
  Compare -50 and -41
  No swap needed
  Compare -41 and 6
  No swap needed
  Compare 6 and -96
  Swap 6 and -96
  List after swap: [-78, -50, -41, -96, 6, 53, -19, -77, 64]
  Compare 6 and 53
  No swap needed
  Compare 53 and -19
  Swap 53 and -19
  List after swap: [-78, -50, -41, -96, 6, -19, 53, -77, 64]
  Compare 53 and -77
  Swap 53 and -77
  List after swap: [-78, -50, -41, -96, 6, -19, -77, 53, 64]

Pass 3:
  Compare -78 and -50
  No swap needed
  Compare -50 and -41
  No swap needed
  Compare -41 and -96
  Swap -41 and -96
  List after swap: [-78, -50, -96, -41, 6, -19, -77, 53, 64]
  Compare -41 and 6
  No swap needed
  Compare 6 and -19
  Swap 6 and -19
  List after swap: [-78, -50, -96, -41, -19, 6, -77, 53, 64]
  Compare 6 and -77
  Swap 6 and -77
  List after swap: [-78, -50, -96, -41, -19, -77, 6, 53, 64]

Pass 4:
  Compare -78 and -50
  No swap needed
  Compare -50 and -96
  Swap -50 and -96
  List after swap: [-78, -96, -50, -41, -19, -77, 6, 53, 64]
  Compare -50 and -41
  No swap needed
  Compare -41 and -19
  No swap needed
  Compare -19 and -77
  Swap -19 and -77
  List after swap: [-78, -96, -50, -41, -77, -19, 6, 53, 64]

Pass 5:
  Compare -78 and -96
  Swap -78 and -96
  List after swap: [-96, -78, -50, -41, -77, -19, 6, 53, 64]
  Compare -78 and -50
  No swap needed
  Compare -50 and -41
  No swap needed
  Compare -41 and -77
  Swap -41 and -77
  List after swap: [-96, -78, -50, -77, -41, -19, 6, 53, 64]

Pass 6:
  Compare -96 and -78
  No swap needed
  Compare -78 and -50
  No swap needed
  Compare -50 and -77
  Swap -50 and -77
  List after swap: [-96, -78, -77, -50, -41, -19, 6, 53, 64]

Pass 7:
  Compare -96 and -78
  No swap needed
  Compare -78 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -78, -77, -50, -41, -19, 6, 53, 64]
</think>

<response>-96, -78, -77, -50, -41, -19, 6, 53, 64</response>


input: Sort these integers 40, 88, 12, -38, 24, -21, 85, 82, -80, -23 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [40, 88, 12, -38, 24, -21, 85, 82, -80, -23]

Pass 1:
  Compare 40 and 88
  No swap needed
  Compare 88 and 12
  Swap 88 and 12
  List after swap: [40, 12, 88, -38, 24, -21, 85, 82, -80, -23]
  Compare 88 and -38
  Swap 88 and -38
  List after swap: [40, 12, -38, 88, 24, -21, 85, 82, -80, -23]
  Compare 88 and 24
  Swap 88 and 24
  List after swap: [40, 12, -38, 24, 88, -21, 85, 82, -80, -23]
  Compare 88 and -21
  Swap 88 and -21
  List after swap: [40, 12, -38, 24, -21, 88, 85, 82, -80, -23]
  Compare 88 and 85
  Swap 88 and 85
  List after swap: [40, 12, -38, 24, -21, 85, 88, 82, -80, -23]
  Compare 88 and 82
  Swap 88 and 82
  List after swap: [40, 12, -38, 24, -21, 85, 82, 88, -80, -23]
  Compare 88 and -80
  Swap 88 and -80
  List after swap: [40, 12, -38, 24, -21, 85, 82, -80, 88, -23]
  Compare 88 and -23
  Swap 88 and -23
  List after swap: [40, 12, -38, 24, -21, 85, 82, -80, -23, 88]

Pass 2:
  Compare 40 and 12
  Swap 40 and 12
  List after swap: [12, 40, -38, 24, -21, 85, 82, -80, -23, 88]
  Compare 40 and -38
  Swap 40 and -38
  List after swap: [12, -38, 40, 24, -21, 85, 82, -80, -23, 88]
  Compare 40 and 24
  Swap 40 and 24
  List after swap: [12, -38, 24, 40, -21, 85, 82, -80, -23, 88]
  Compare 40 and -21
  Swap 40 and -21
  List after swap: [12, -38, 24, -21, 40, 85, 82, -80, -23, 88]
  Compare 40 and 85
  No swap needed
  Compare 85 and 82
  Swap 85 and 82
  List after swap: [12, -38, 24, -21, 40, 82, 85, -80, -23, 88]
  Compare 85 and -80
  Swap 85 and -80
  List after swap: [12, -38, 24, -21, 40, 82, -80, 85, -23, 88]
  Compare 85 and -23
  Swap 85 and -23
  List after swap: [12, -38, 24, -21, 40, 82, -80, -23, 85, 88]

Pass 3:
  Compare 12 and -38
  Swap 12 and -38
  List after swap: [-38, 12, 24, -21, 40, 82, -80, -23, 85, 88]
  Compare 12 and 24
  No swap needed
  Compare 24 and -21
  Swap 24 and -21
  List after swap: [-38, 12, -21, 24, 40, 82, -80, -23, 85, 88]
  Compare 24 and 40
  No swap needed
  Compare 40 and 82
  No swap needed
  Compare 82 and -80
  Swap 82 and -80
  List after swap: [-38, 12, -21, 24, 40, -80, 82, -23, 85, 88]
  Compare 82 and -23
  Swap 82 and -23
  List after swap: [-38, 12, -21, 24, 40, -80, -23, 82, 85, 88]

Pass 4:
  Compare -38 and 12
  No swap needed
  Compare 12 and -21
  Swap 12 and -21
  List after swap: [-38, -21, 12, 24, 40, -80, -23, 82, 85, 88]
  Compare 12 and 24
  No swap needed
  Compare 24 and 40
  No swap needed
  Compare 40 and -80
  Swap 40 and -80
  List after swap: [-38, -21, 12, 24, -80, 40, -23, 82, 85, 88]
  Compare 40 and -23
  Swap 40 and -23
  List after swap: [-38, -21, 12, 24, -80, -23, 40, 82, 85, 88]

Pass 5:
  Compare -38 and -21
  No swap needed
  Compare -21 and 12
  No swap needed
  Compare 12 and 24
  No swap needed
  Compare 24 and -80
  Swap 24 and -80
  List after swap: [-38, -21, 12, -80, 24, -23, 40, 82, 85, 88]
  Compare 24 and -23
  Swap 24 and -23
  List after swap: [-38, -21, 12, -80, -23, 24, 40, 82, 85, 88]

Pass 6:
  Compare -38 and -21
  No swap needed
  Compare -21 and 12
  No swap needed
  Compare 12 and -80
  Swap 12 and -80
  List after swap: [-38, -21, -80, 12, -23, 24, 40, 82, 85, 88]
  Compare 12 and -23
  Swap 12 and -23
  List after swap: [-38, -21, -80, -23, 12, 24, 40, 82, 85, 88]

Pass 7:
  Compare -38 and -21
  No swap needed
  Compare -21 and -80
  Swap -21 and -80
  List after swap: [-38, -80, -21, -23, 12, 24, 40, 82, 85, 88]
  Compare -21 and -23
  Swap -21 and -23
  List after swap: [-38, -80, -23, -21, 12, 24, 40, 82, 85, 88]

Pass 8:
  Compare -38 and -80
  Swap -38 and -80
  List after swap: [-80, -38, -23, -21, 12, 24, 40, 82, 85, 88]
  Compare -38 and -23
  No swap needed

Pass 9:
  Compare -80 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -38, -23, -21, 12, 24, 40, 82, 85, 88]
</think>

<response>-80, -38, -23, -21, 12, 24, 40, 82, 85, 88</response>


input: Use the bubble sort technique to reorder -83, 92, -56, -15, -65, 14 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-83, 92, -56, -15, -65, 14]

Pass 1:
  Compare -83 and 92
  No swap needed
  Compare 92 and -56
  Swap 92 and -56
  List after swap: [-83, -56, 92, -15, -65, 14]
  Compare 92 and -15
  Swap 92 and -15
  List after swap: [-83, -56, -15, 92, -65, 14]
  Compare 92 and -65
  Swap 92 and -65
  List after swap: [-83, -56, -15, -65, 92, 14]
  Compare 92 and 14
  Swap 92 and 14
  List after swap: [-83, -56, -15, -65, 14, 92]

Pass 2:
  Compare -83 and -56
  No swap needed
  Compare -56 and -15
  No swap needed
  Compare -15 and -65
  Swap -15 and -65
  List after swap: [-83, -56, -65, -15, 14, 92]
  Compare -15 and 14
  No swap needed

Pass 3:
  Compare -83 and -56
  No swap needed
  Compare -56 and -65
  Swap -56 and -65
  List after swap: [-83, -65, -56, -15, 14, 92]
  Compare -56 and -15
  No swap needed

Pass 4:
  Compare -83 and -65
  No swap needed
  Compare -65 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -65, -56, -15, 14, 92]
</think>

<response>-83, -65, -56, -15, 14, 92</response>


input: Execute bubble sort to sort -10, 97, -67, -33, 88, -90, 53, 64, 60 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-10, 97, -67, -33, 88, -90, 53, 64, 60]

Pass 1:
  Compare -10 and 97
  No swap needed
  Compare 97 and -67
  Swap 97 and -67
  List after swap: [-10, -67, 97, -33, 88, -90, 53, 64, 60]
  Compare 97 and -33
  Swap 97 and -33
  List after swap: [-10, -67, -33, 97, 88, -90, 53, 64, 60]
  Compare 97 and 88
  Swap 97 and 88
  List after swap: [-10, -67, -33, 88, 97, -90, 53, 64, 60]
  Compare 97 and -90
  Swap 97 and -90
  List after swap: [-10, -67, -33, 88, -90, 97, 53, 64, 60]
  Compare 97 and 53
  Swap 97 and 53
  List after swap: [-10, -67, -33, 88, -90, 53, 97, 64, 60]
  Compare 97 and 64
  Swap 97 and 64
  List after swap: [-10, -67, -33, 88, -90, 53, 64, 97, 60]
  Compare 97 and 60
  Swap 97 and 60
  List after swap: [-10, -67, -33, 88, -90, 53, 64, 60, 97]

Pass 2:
  Compare -10 and -67
  Swap -10 and -67
  List after swap: [-67, -10, -33, 88, -90, 53, 64, 60, 97]
  Compare -10 and -33
  Swap -10 and -33
  List after swap: [-67, -33, -10, 88, -90, 53, 64, 60, 97]
  Compare -10 and 88
  No swap needed
  Compare 88 and -90
  Swap 88 and -90
  List after swap: [-67, -33, -10, -90, 88, 53, 64, 60, 97]
  Compare 88 and 53
  Swap 88 and 53
  List after swap: [-67, -33, -10, -90, 53, 88, 64, 60, 97]
  Compare 88 and 64
  Swap 88 and 64
  List after swap: [-67, -33, -10, -90, 53, 64, 88, 60, 97]
  Compare 88 and 60
  Swap 88 and 60
  List after swap: [-67, -33, -10, -90, 53, 64, 60, 88, 97]

Pass 3:
  Compare -67 and -33
  No swap needed
  Compare -33 and -10
  No swap needed
  Compare -10 and -90
  Swap -10 and -90
  List after swap: [-67, -33, -90, -10, 53, 64, 60, 88, 97]
  Compare -10 and 53
  No swap needed
  Compare 53 and 64
  No swap needed
  Compare 64 and 60
  Swap 64 and 60
  List after swap: [-67, -33, -90, -10, 53, 60, 64, 88, 97]

Pass 4:
  Compare -67 and -33
  No swap needed
  Compare -33 and -90
  Swap -33 and -90
  List after swap: [-67, -90, -33, -10, 53, 60, 64, 88, 97]
  Compare -33 and -10
  No swap needed
  Compare -10 and 53
  No swap needed
  Compare 53 and 60
  No swap needed

Pass 5:
  Compare -67 and -90
  Swap -67 and -90
  List after swap: [-90, -67, -33, -10, 53, 60, 64, 88, 97]
  Compare -67 and -33
  No swap needed
  Compare -33 and -10
  No swap needed
  Compare -10 and 53
  No swap needed

Pass 6:
  Compare -90 and -67
  No swap needed
  Compare -67 and -33
  No swap needed
  Compare -33 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -67, -33, -10, 53, 60, 64, 88, 97]
</think>

<response>-90, -67, -33, -10, 53, 60, 64, 88, 97</response>


input: Execute bubble sort to sort -18, -46, -87, -83 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-18, -46, -87, -83]

Pass 1:
  Compare -18 and -46
  Swap -18 and -46
  List after swap: [-46, -18, -87, -83]
  Compare -18 and -87
  Swap -18 and -87
  List after swap: [-46, -87, -18, -83]
  Compare -18 and -83
  Swap -18 and -83
  List after swap: [-46, -87, -83, -18]

Pass 2:
  Compare -46 and -87
  Swap -46 and -87
  List after swap: [-87, -46, -83, -18]
  Compare -46 and -83
  Swap -46 and -83
  List after swap: [-87, -83, -46, -18]

Pass 3:
  Compare -87 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -83, -46, -18]
</think>

<response>-87, -83, -46, -18</response>


input: Carry out the bubble sort algorithm on -26, 91, 75 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-26, 91, 75]

Pass 1:
  Compare -26 and 91
  No swap needed
  Compare 91 and 75
  Swap 91 and 75
  List after swap: [-26, 75, 91]

Pass 2:
  Compare -26 and 75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, 75, 91]
</think>

<response>-26, 75, 91</response>


input: Use the bubble sort technique to reorder -34, -36, -67, 86, -76, -90, -56, 87, 41 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-34, -36, -67, 86, -76, -90, -56, 87, 41]

Pass 1:
  Compare -34 and -36
  Swap -34 and -36
  List after swap: [-36, -34, -67, 86, -76, -90, -56, 87, 41]
  Compare -34 and -67
  Swap -34 and -67
  List after swap: [-36, -67, -34, 86, -76, -90, -56, 87, 41]
  Compare -34 and 86
  No swap needed
  Compare 86 and -76
  Swap 86 and -76
  List after swap: [-36, -67, -34, -76, 86, -90, -56, 87, 41]
  Compare 86 and -90
  Swap 86 and -90
  List after swap: [-36, -67, -34, -76, -90, 86, -56, 87, 41]
  Compare 86 and -56
  Swap 86 and -56
  List after swap: [-36, -67, -34, -76, -90, -56, 86, 87, 41]
  Compare 86 and 87
  No swap needed
  Compare 87 and 41
  Swap 87 and 41
  List after swap: [-36, -67, -34, -76, -90, -56, 86, 41, 87]

Pass 2:
  Compare -36 and -67
  Swap -36 and -67
  List after swap: [-67, -36, -34, -76, -90, -56, 86, 41, 87]
  Compare -36 and -34
  No swap needed
  Compare -34 and -76
  Swap -34 and -76
  List after swap: [-67, -36, -76, -34, -90, -56, 86, 41, 87]
  Compare -34 and -90
  Swap -34 and -90
  List after swap: [-67, -36, -76, -90, -34, -56, 86, 41, 87]
  Compare -34 and -56
  Swap -34 and -56
  List after swap: [-67, -36, -76, -90, -56, -34, 86, 41, 87]
  Compare -34 and 86
  No swap needed
  Compare 86 and 41
  Swap 86 and 41
  List after swap: [-67, -36, -76, -90, -56, -34, 41, 86, 87]

Pass 3:
  Compare -67 and -36
  No swap needed
  Compare -36 and -76
  Swap -36 and -76
  List after swap: [-67, -76, -36, -90, -56, -34, 41, 86, 87]
  Compare -36 and -90
  Swap -36 and -90
  List after swap: [-67, -76, -90, -36, -56, -34, 41, 86, 87]
  Compare -36 and -56
  Swap -36 and -56
  List after swap: [-67, -76, -90, -56, -36, -34, 41, 86, 87]
  Compare -36 and -34
  No swap needed
  Compare -34 and 41
  No swap needed

Pass 4:
  Compare -67 and -76
  Swap -67 and -76
  List after swap: [-76, -67, -90, -56, -36, -34, 41, 86, 87]
  Compare -67 and -90
  Swap -67 and -90
  List after swap: [-76, -90, -67, -56, -36, -34, 41, 86, 87]
  Compare -67 and -56
  No swap needed
  Compare -56 and -36
  No swap needed
  Compare -36 and -34
  No swap needed

Pass 5:
  Compare -76 and -90
  Swap -76 and -90
  List after swap: [-90, -76, -67, -56, -36, -34, 41, 86, 87]
  Compare -76 and -67
  No swap needed
  Compare -67 and -56
  No swap needed
  Compare -56 and -36
  No swap needed

Pass 6:
  Compare -90 and -76
  No swap needed
  Compare -76 and -67
  No swap needed
  Compare -67 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -76, -67, -56, -36, -34, 41, 86, 87]
</think>

<response>-90, -76, -67, -56, -36, -34, 41, 86, 87</response>


input: Sort these integers -79, 78, 96, -40, 65, 70, 42 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-79, 78, 96, -40, 65, 70, 42]

Pass 1:
  Compare -79 and 78
  No swap needed
  Compare 78 and 96
  No swap needed
  Compare 96 and -40
  Swap 96 and -40
  List after swap: [-79, 78, -40, 96, 65, 70, 42]
  Compare 96 and 65
  Swap 96 and 65
  List after swap: [-79, 78, -40, 65, 96, 70, 42]
  Compare 96 and 70
  Swap 96 and 70
  List after swap: [-79, 78, -40, 65, 70, 96, 42]
  Compare 96 and 42
  Swap 96 and 42
  List after swap: [-79, 78, -40, 65, 70, 42, 96]

Pass 2:
  Compare -79 and 78
  No swap needed
  Compare 78 and -40
  Swap 78 and -40
  List after swap: [-79, -40, 78, 65, 70, 42, 96]
  Compare 78 and 65
  Swap 78 and 65
  List after swap: [-79, -40, 65, 78, 70, 42, 96]
  Compare 78 and 70
  Swap 78 and 70
  List after swap: [-79, -40, 65, 70, 78, 42, 96]
  Compare 78 and 42
  Swap 78 and 42
  List after swap: [-79, -40, 65, 70, 42, 78, 96]

Pass 3:
  Compare -79 and -40
  No swap needed
  Compare -40 and 65
  No swap needed
  Compare 65 and 70
  No swap needed
  Compare 70 and 42
  Swap 70 and 42
  List after swap: [-79, -40, 65, 42, 70, 78, 96]

Pass 4:
  Compare -79 and -40
  No swap needed
  Compare -40 and 65
  No swap needed
  Compare 65 and 42
  Swap 65 and 42
  List after swap: [-79, -40, 42, 65, 70, 78, 96]

Pass 5:
  Compare -79 and -40
  No swap needed
  Compare -40 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -40, 42, 65, 70, 78, 96]
</think>

<response>-79, -40, 42, 65, 70, 78, 96</response>


input: Sort the list -100, 47, -84, -41, 29, -18, 55 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-100, 47, -84, -41, 29, -18, 55]

Pass 1:
  Compare -100 and 47
  No swap needed
  Compare 47 and -84
  Swap 47 and -84
  List after swap: [-100, -84, 47, -41, 29, -18, 55]
  Compare 47 and -41
  Swap 47 and -41
  List after swap: [-100, -84, -41, 47, 29, -18, 55]
  Compare 47 and 29
  Swap 47 and 29
  List after swap: [-100, -84, -41, 29, 47, -18, 55]
  Compare 47 and -18
  Swap 47 and -18
  List after swap: [-100, -84, -41, 29, -18, 47, 55]
  Compare 47 and 55
  No swap needed

Pass 2:
  Compare -100 and -84
  No swap needed
  Compare -84 and -41
  No swap needed
  Compare -41 and 29
  No swap needed
  Compare 29 and -18
  Swap 29 and -18
  List after swap: [-100, -84, -41, -18, 29, 47, 55]
  Compare 29 and 47
  No swap needed

Pass 3:
  Compare -100 and -84
  No swap needed
  Compare -84 and -41
  No swap needed
  Compare -41 and -18
  No swap needed
  Compare -18 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -84, -41, -18, 29, 47, 55]
</think>

<response>-100, -84, -41, -18, 29, 47, 55</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -87, -19, 30, -21, -91, 8, 56, -24, -33.

output:
<think>
Initial list: [-87, -19, 30, -21, -91, 8, 56, -24, -33]

Pass 1:
  Compare -87 and -19
  No swap needed
  Compare -19 and 30
  No swap needed
  Compare 30 and -21
  Swap 30 and -21
  List after swap: [-87, -19, -21, 30, -91, 8, 56, -24, -33]
  Compare 30 and -91
  Swap 30 and -91
  List after swap: [-87, -19, -21, -91, 30, 8, 56, -24, -33]
  Compare 30 and 8
  Swap 30 and 8
  List after swap: [-87, -19, -21, -91, 8, 30, 56, -24, -33]
  Compare 30 and 56
  No swap needed
  Compare 56 and -24
  Swap 56 and -24
  List after swap: [-87, -19, -21, -91, 8, 30, -24, 56, -33]
  Compare 56 and -33
  Swap 56 and -33
  List after swap: [-87, -19, -21, -91, 8, 30, -24, -33, 56]

Pass 2:
  Compare -87 and -19
  No swap needed
  Compare -19 and -21
  Swap -19 and -21
  List after swap: [-87, -21, -19, -91, 8, 30, -24, -33, 56]
  Compare -19 and -91
  Swap -19 and -91
  List after swap: [-87, -21, -91, -19, 8, 30, -24, -33, 56]
  Compare -19 and 8
  No swap needed
  Compare 8 and 30
  No swap needed
  Compare 30 and -24
  Swap 30 and -24
  List after swap: [-87, -21, -91, -19, 8, -24, 30, -33, 56]
  Compare 30 and -33
  Swap 30 and -33
  List after swap: [-87, -21, -91, -19, 8, -24, -33, 30, 56]

Pass 3:
  Compare -87 and -21
  No swap needed
  Compare -21 and -91
  Swap -21 and -91
  List after swap: [-87, -91, -21, -19, 8, -24, -33, 30, 56]
  Compare -21 and -19
  No swap needed
  Compare -19 and 8
  No swap needed
  Compare 8 and -24
  Swap 8 and -24
  List after swap: [-87, -91, -21, -19, -24, 8, -33, 30, 56]
  Compare 8 and -33
  Swap 8 and -33
  List after swap: [-87, -91, -21, -19, -24, -33, 8, 30, 56]

Pass 4:
  Compare -87 and -91
  Swap -87 and -91
  List after swap: [-91, -87, -21, -19, -24, -33, 8, 30, 56]
  Compare -87 and -21
  No swap needed
  Compare -21 and -19
  No swap needed
  Compare -19 and -24
  Swap -19 and -24
  List after swap: [-91, -87, -21, -24, -19, -33, 8, 30, 56]
  Compare -19 and -33
  Swap -19 and -33
  List after swap: [-91, -87, -21, -24, -33, -19, 8, 30, 56]

Pass 5:
  Compare -91 and -87
  No swap needed
  Compare -87 and -21
  No swap needed
  Compare -21 and -24
  Swap -21 and -24
  List after swap: [-91, -87, -24, -21, -33, -19, 8, 30, 56]
  Compare -21 and -33
  Swap -21 and -33
  List after swap: [-91, -87, -24, -33, -21, -19, 8, 30, 56]

Pass 6:
  Compare -91 and -87
  No swap needed
  Compare -87 and -24
  No swap needed
  Compare -24 and -33
  Swap -24 and -33
  List after swap: [-91, -87, -33, -24, -21, -19, 8, 30, 56]

Pass 7:
  Compare -91 and -87
  No swap needed
  Compare -87 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -87, -33, -24, -21, -19, 8, 30, 56]
</think>

<response>-91, -87, -33, -24, -21, -19, 8, 30, 56</response>


input: Execute bubble sort to sort 18, 91, 28, -55, -54, -82, -99, -74 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [18, 91, 28, -55, -54, -82, -99, -74]

Pass 1:
  Compare 18 and 91
  No swap needed
  Compare 91 and 28
  Swap 91 and 28
  List after swap: [18, 28, 91, -55, -54, -82, -99, -74]
  Compare 91 and -55
  Swap 91 and -55
  List after swap: [18, 28, -55, 91, -54, -82, -99, -74]
  Compare 91 and -54
  Swap 91 and -54
  List after swap: [18, 28, -55, -54, 91, -82, -99, -74]
  Compare 91 and -82
  Swap 91 and -82
  List after swap: [18, 28, -55, -54, -82, 91, -99, -74]
  Compare 91 and -99
  Swap 91 and -99
  List after swap: [18, 28, -55, -54, -82, -99, 91, -74]
  Compare 91 and -74
  Swap 91 and -74
  List after swap: [18, 28, -55, -54, -82, -99, -74, 91]

Pass 2:
  Compare 18 and 28
  No swap needed
  Compare 28 and -55
  Swap 28 and -55
  List after swap: [18, -55, 28, -54, -82, -99, -74, 91]
  Compare 28 and -54
  Swap 28 and -54
  List after swap: [18, -55, -54, 28, -82, -99, -74, 91]
  Compare 28 and -82
  Swap 28 and -82
  List after swap: [18, -55, -54, -82, 28, -99, -74, 91]
  Compare 28 and -99
  Swap 28 and -99
  List after swap: [18, -55, -54, -82, -99, 28, -74, 91]
  Compare 28 and -74
  Swap 28 and -74
  List after swap: [18, -55, -54, -82, -99, -74, 28, 91]

Pass 3:
  Compare 18 and -55
  Swap 18 and -55
  List after swap: [-55, 18, -54, -82, -99, -74, 28, 91]
  Compare 18 and -54
  Swap 18 and -54
  List after swap: [-55, -54, 18, -82, -99, -74, 28, 91]
  Compare 18 and -82
  Swap 18 and -82
  List after swap: [-55, -54, -82, 18, -99, -74, 28, 91]
  Compare 18 and -99
  Swap 18 and -99
  List after swap: [-55, -54, -82, -99, 18, -74, 28, 91]
  Compare 18 and -74
  Swap 18 and -74
  List after swap: [-55, -54, -82, -99, -74, 18, 28, 91]

Pass 4:
  Compare -55 and -54
  No swap needed
  Compare -54 and -82
  Swap -54 and -82
  List after swap: [-55, -82, -54, -99, -74, 18, 28, 91]
  Compare -54 and -99
  Swap -54 and -99
  List after swap: [-55, -82, -99, -54, -74, 18, 28, 91]
  Compare -54 and -74
  Swap -54 and -74
  List after swap: [-55, -82, -99, -74, -54, 18, 28, 91]

Pass 5:
  Compare -55 and -82
  Swap -55 and -82
  List after swap: [-82, -55, -99, -74, -54, 18, 28, 91]
  Compare -55 and -99
  Swap -55 and -99
  List after swap: [-82, -99, -55, -74, -54, 18, 28, 91]
  Compare -55 and -74
  Swap -55 and -74
  List after swap: [-82, -99, -74, -55, -54, 18, 28, 91]

Pass 6:
  Compare -82 and -99
  Swap -82 and -99
  List after swap: [-99, -82, -74, -55, -54, 18, 28, 91]
  Compare -82 and -74
  No swap needed

Pass 7:
  Compare -99 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -82, -74, -55, -54, 18, 28, 91]
</think>

<response>-99, -82, -74, -55, -54, 18, 28, 91</response>


input: Use the bubble sort technique to reorder 26, -27, 53, -6, 51 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [26, -27, 53, -6, 51]

Pass 1:
  Compare 26 and -27
  Swap 26 and -27
  List after swap: [-27, 26, 53, -6, 51]
  Compare 26 and 53
  No swap needed
  Compare 53 and -6
  Swap 53 and -6
  List after swap: [-27, 26, -6, 53, 51]
  Compare 53 and 51
  Swap 53 and 51
  List after swap: [-27, 26, -6, 51, 53]

Pass 2:
  Compare -27 and 26
  No swap needed
  Compare 26 and -6
  Swap 26 and -6
  List after swap: [-27, -6, 26, 51, 53]
  Compare 26 and 51
  No swap needed

Pass 3:
  Compare -27 and -6
  No swap needed
  Compare -6 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -6, 26, 51, 53]
</think>

<response>-27, -6, 26, 51, 53</response>


input: Arrange the numbers 46, 13, -29, -35, -84, -5, 51 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [46, 13, -29, -35, -84, -5, 51]

Pass 1:
  Compare 46 and 13
  Swap 46 and 13
  List after swap: [13, 46, -29, -35, -84, -5, 51]
  Compare 46 and -29
  Swap 46 and -29
  List after swap: [13, -29, 46, -35, -84, -5, 51]
  Compare 46 and -35
  Swap 46 and -35
  List after swap: [13, -29, -35, 46, -84, -5, 51]
  Compare 46 and -84
  Swap 46 and -84
  List after swap: [13, -29, -35, -84, 46, -5, 51]
  Compare 46 and -5
  Swap 46 and -5
  List after swap: [13, -29, -35, -84, -5, 46, 51]
  Compare 46 and 51
  No swap needed

Pass 2:
  Compare 13 and -29
  Swap 13 and -29
  List after swap: [-29, 13, -35, -84, -5, 46, 51]
  Compare 13 and -35
  Swap 13 and -35
  List after swap: [-29, -35, 13, -84, -5, 46, 51]
  Compare 13 and -84
  Swap 13 and -84
  List after swap: [-29, -35, -84, 13, -5, 46, 51]
  Compare 13 and -5
  Swap 13 and -5
  List after swap: [-29, -35, -84, -5, 13, 46, 51]
  Compare 13 and 46
  No swap needed

Pass 3:
  Compare -29 and -35
  Swap -29 and -35
  List after swap: [-35, -29, -84, -5, 13, 46, 51]
  Compare -29 and -84
  Swap -29 and -84
  List after swap: [-35, -84, -29, -5, 13, 46, 51]
  Compare -29 and -5
  No swap needed
  Compare -5 and 13
  No swap needed

Pass 4:
  Compare -35 and -84
  Swap -35 and -84
  List after swap: [-84, -35, -29, -5, 13, 46, 51]
  Compare -35 and -29
  No swap needed
  Compare -29 and -5
  No swap needed

Pass 5:
  Compare -84 and -35
  No swap needed
  Compare -35 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -35, -29, -5, 13, 46, 51]
</think>

<response>-84, -35, -29, -5, 13, 46, 51</response>


input: Sort these integers 32, 58, 86 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [32, 58, 86]

Pass 1:
  Compare 32 and 58
  No swap needed
  Compare 58 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [32, 58, 86]
</think>

<response>32, 58, 86</response>


input: Carry out the bubble sort algorithm on 52, 25 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [52, 25]

Pass 1:
  Compare 52 and 25
  Swap 52 and 25
  List after swap: [25, 52]

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

Final sorted list: [25, 52]
</think>

<response>25, 52</response>


input: Implement bubble sort on 60, 25, -69 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [60, 25, -69]

Pass 1:
  Compare 60 and 25
  Swap 60 and 25
  List after swap: [25, 60, -69]
  Compare 60 and -69
  Swap 60 and -69
  List after swap: [25, -69, 60]

Pass 2:
  Compare 25 and -69
  Swap 25 and -69
  List after swap: [-69, 25, 60]

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

Final sorted list: [-69, 25, 60]
</think>

<response>-69, 25, 60</response>


input: Execute bubble sort to sort 6, 52 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [6, 52]

Pass 1:
  Compare 6 and 52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [6, 52]
</think>

<response>6, 52</response>


input: Implement bubble sort on -53, 65 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-53, 65]

Pass 1:
  Compare -53 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, 65]
</think>

<response>-53, 65</response>


input: Using the bubble sort method, sort 77, -38, -72, -3, -100, -35 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [77, -38, -72, -3, -100, -35]

Pass 1:
  Compare 77 and -38
  Swap 77 and -38
  List after swap: [-38, 77, -72, -3, -100, -35]
  Compare 77 and -72
  Swap 77 and -72
  List after swap: [-38, -72, 77, -3, -100, -35]
  Compare 77 and -3
  Swap 77 and -3
  List after swap: [-38, -72, -3, 77, -100, -35]
  Compare 77 and -100
  Swap 77 and -100
  List after swap: [-38, -72, -3, -100, 77, -35]
  Compare 77 and -35
  Swap 77 and -35
  List after swap: [-38, -72, -3, -100, -35, 77]

Pass 2:
  Compare -38 and -72
  Swap -38 and -72
  List after swap: [-72, -38, -3, -100, -35, 77]
  Compare -38 and -3
  No swap needed
  Compare -3 and -100
  Swap -3 and -100
  List after swap: [-72, -38, -100, -3, -35, 77]
  Compare -3 and -35
  Swap -3 and -35
  List after swap: [-72, -38, -100, -35, -3, 77]

Pass 3:
  Compare -72 and -38
  No swap needed
  Compare -38 and -100
  Swap -38 and -100
  List after swap: [-72, -100, -38, -35, -3, 77]
  Compare -38 and -35
  No swap needed

Pass 4:
  Compare -72 and -100
  Swap -72 and -100
  List after swap: [-100, -72, -38, -35, -3, 77]
  Compare -72 and -38
  No swap needed

Pass 5:
  Compare -100 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -72, -38, -35, -3, 77]
</think>

<response>-100, -72, -38, -35, -3, 77</response>


input: Implement bubble sort on 74, -93, 11, -42, 87, 35, 75, -89, -75 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [74, -93, 11, -42, 87, 35, 75, -89, -75]

Pass 1:
  Compare 74 and -93
  Swap 74 and -93
  List after swap: [-93, 74, 11, -42, 87, 35, 75, -89, -75]
  Compare 74 and 11
  Swap 74 and 11
  List after swap: [-93, 11, 74, -42, 87, 35, 75, -89, -75]
  Compare 74 and -42
  Swap 74 and -42
  List after swap: [-93, 11, -42, 74, 87, 35, 75, -89, -75]
  Compare 74 and 87
  No swap needed
  Compare 87 and 35
  Swap 87 and 35
  List after swap: [-93, 11, -42, 74, 35, 87, 75, -89, -75]
  Compare 87 and 75
  Swap 87 and 75
  List after swap: [-93, 11, -42, 74, 35, 75, 87, -89, -75]
  Compare 87 and -89
  Swap 87 and -89
  List after swap: [-93, 11, -42, 74, 35, 75, -89, 87, -75]
  Compare 87 and -75
  Swap 87 and -75
  List after swap: [-93, 11, -42, 74, 35, 75, -89, -75, 87]

Pass 2:
  Compare -93 and 11
  No swap needed
  Compare 11 and -42
  Swap 11 and -42
  List after swap: [-93, -42, 11, 74, 35, 75, -89, -75, 87]
  Compare 11 and 74
  No swap needed
  Compare 74 and 35
  Swap 74 and 35
  List after swap: [-93, -42, 11, 35, 74, 75, -89, -75, 87]
  Compare 74 and 75
  No swap needed
  Compare 75 and -89
  Swap 75 and -89
  List after swap: [-93, -42, 11, 35, 74, -89, 75, -75, 87]
  Compare 75 and -75
  Swap 75 and -75
  List after swap: [-93, -42, 11, 35, 74, -89, -75, 75, 87]

Pass 3:
  Compare -93 and -42
  No swap needed
  Compare -42 and 11
  No swap needed
  Compare 11 and 35
  No swap needed
  Compare 35 and 74
  No swap needed
  Compare 74 and -89
  Swap 74 and -89
  List after swap: [-93, -42, 11, 35, -89, 74, -75, 75, 87]
  Compare 74 and -75
  Swap 74 and -75
  List after swap: [-93, -42, 11, 35, -89, -75, 74, 75, 87]

Pass 4:
  Compare -93 and -42
  No swap needed
  Compare -42 and 11
  No swap needed
  Compare 11 and 35
  No swap needed
  Compare 35 and -89
  Swap 35 and -89
  List after swap: [-93, -42, 11, -89, 35, -75, 74, 75, 87]
  Compare 35 and -75
  Swap 35 and -75
  List after swap: [-93, -42, 11, -89, -75, 35, 74, 75, 87]

Pass 5:
  Compare -93 and -42
  No swap needed
  Compare -42 and 11
  No swap needed
  Compare 11 and -89
  Swap 11 and -89
  List after swap: [-93, -42, -89, 11, -75, 35, 74, 75, 87]
  Compare 11 and -75
  Swap 11 and -75
  List after swap: [-93, -42, -89, -75, 11, 35, 74, 75, 87]

Pass 6:
  Compare -93 and -42
  No swap needed
  Compare -42 and -89
  Swap -42 and -89
  List after swap: [-93, -89, -42, -75, 11, 35, 74, 75, 87]
  Compare -42 and -75
  Swap -42 and -75
  List after swap: [-93, -89, -75, -42, 11, 35, 74, 75, 87]

Pass 7:
  Compare -93 and -89
  No swap needed
  Compare -89 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -89, -75, -42, 11, 35, 74, 75, 87]
</think>

<response>-93, -89, -75, -42, 11, 35, 74, 75, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 18, -84, -60, 55, -4.

output:
<think>
Initial list: [18, -84, -60, 55, -4]

Pass 1:
  Compare 18 and -84
  Swap 18 and -84
  List after swap: [-84, 18, -60, 55, -4]
  Compare 18 and -60
  Swap 18 and -60
  List after swap: [-84, -60, 18, 55, -4]
  Compare 18 and 55
  No swap needed
  Compare 55 and -4
  Swap 55 and -4
  List after swap: [-84, -60, 18, -4, 55]

Pass 2:
  Compare -84 and -60
  No swap needed
  Compare -60 and 18
  No swap needed
  Compare 18 and -4
  Swap 18 and -4
  List after swap: [-84, -60, -4, 18, 55]

Pass 3:
  Compare -84 and -60
  No swap needed
  Compare -60 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -60, -4, 18, 55]
</think>

<response>-84, -60, -4, 18, 55</response>


input: Perform a bubble sort on the integers 13, 90, 7, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [13, 90, 7]

Pass 1:
  Compare 13 and 90
  No swap needed
  Compare 90 and 7
  Swap 90 and 7
  List after swap: [13, 7, 90]

Pass 2:
  Compare 13 and 7
  Swap 13 and 7
  List after swap: [7, 13, 90]

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

Final sorted list: [7, 13, 90]
</think>

<response>7, 13, 90</response>


input: Implement bubble sort on -29, 36, -21, 51, -35, -63, -84 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-29, 36, -21, 51, -35, -63, -84]

Pass 1:
  Compare -29 and 36
  No swap needed
  Compare 36 and -21
  Swap 36 and -21
  List after swap: [-29, -21, 36, 51, -35, -63, -84]
  Compare 36 and 51
  No swap needed
  Compare 51 and -35
  Swap 51 and -35
  List after swap: [-29, -21, 36, -35, 51, -63, -84]
  Compare 51 and -63
  Swap 51 and -63
  List after swap: [-29, -21, 36, -35, -63, 51, -84]
  Compare 51 and -84
  Swap 51 and -84
  List after swap: [-29, -21, 36, -35, -63, -84, 51]

Pass 2:
  Compare -29 and -21
  No swap needed
  Compare -21 and 36
  No swap needed
  Compare 36 and -35
  Swap 36 and -35
  List after swap: [-29, -21, -35, 36, -63, -84, 51]
  Compare 36 and -63
  Swap 36 and -63
  List after swap: [-29, -21, -35, -63, 36, -84, 51]
  Compare 36 and -84
  Swap 36 and -84
  List after swap: [-29, -21, -35, -63, -84, 36, 51]

Pass 3:
  Compare -29 and -21
  No swap needed
  Compare -21 and -35
  Swap -21 and -35
  List after swap: [-29, -35, -21, -63, -84, 36, 51]
  Compare -21 and -63
  Swap -21 and -63
  List after swap: [-29, -35, -63, -21, -84, 36, 51]
  Compare -21 and -84
  Swap -21 and -84
  List after swap: [-29, -35, -63, -84, -21, 36, 51]

Pass 4:
  Compare -29 and -35
  Swap -29 and -35
  List after swap: [-35, -29, -63, -84, -21, 36, 51]
  Compare -29 and -63
  Swap -29 and -63
  List after swap: [-35, -63, -29, -84, -21, 36, 51]
  Compare -29 and -84
  Swap -29 and -84
  List after swap: [-35, -63, -84, -29, -21, 36, 51]

Pass 5:
  Compare -35 and -63
  Swap -35 and -63
  List after swap: [-63, -35, -84, -29, -21, 36, 51]
  Compare -35 and -84
  Swap -35 and -84
  List after swap: [-63, -84, -35, -29, -21, 36, 51]

Pass 6:
  Compare -63 and -84
  Swap -63 and -84
  List after swap: [-84, -63, -35, -29, -21, 36, 51]

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

Final sorted list: [-84, -63, -35, -29, -21, 36, 51]
</think>

<response>-84, -63, -35, -29, -21, 36, 51</response>


input: Demonstrate how bubble sort orders the integers 86, 6, 32 in ascending sequence, showing all steps.

output:
<think>
Initial list: [86, 6, 32]

Pass 1:
  Compare 86 and 6
  Swap 86 and 6
  List after swap: [6, 86, 32]
  Compare 86 and 32
  Swap 86 and 32
  List after swap: [6, 32, 86]

Pass 2:
  Compare 6 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [6, 32, 86]
</think>

<response>6, 32, 86</response>


input: Execute bubble sort to sort -92, -79, 10, -10, 98, -63, 44 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-92, -79, 10, -10, 98, -63, 44]

Pass 1:
  Compare -92 and -79
  No swap needed
  Compare -79 and 10
  No swap needed
  Compare 10 and -10
  Swap 10 and -10
  List after swap: [-92, -79, -10, 10, 98, -63, 44]
  Compare 10 and 98
  No swap needed
  Compare 98 and -63
  Swap 98 and -63
  List after swap: [-92, -79, -10, 10, -63, 98, 44]
  Compare 98 and 44
  Swap 98 and 44
  List after swap: [-92, -79, -10, 10, -63, 44, 98]

Pass 2:
  Compare -92 and -79
  No swap needed
  Compare -79 and -10
  No swap needed
  Compare -10 and 10
  No swap needed
  Compare 10 and -63
  Swap 10 and -63
  List after swap: [-92, -79, -10, -63, 10, 44, 98]
  Compare 10 and 44
  No swap needed

Pass 3:
  Compare -92 and -79
  No swap needed
  Compare -79 and -10
  No swap needed
  Compare -10 and -63
  Swap -10 and -63
  List after swap: [-92, -79, -63, -10, 10, 44, 98]
  Compare -10 and 10
  No swap needed

Pass 4:
  Compare -92 and -79
  No swap needed
  Compare -79 and -63
  No swap needed
  Compare -63 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -79, -63, -10, 10, 44, 98]
</think>

<response>-92, -79, -63, -10, 10, 44, 98</response>


input: Implement bubble sort on -91, 98, 37, -30, -62, 24, 22, -63 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-91, 98, 37, -30, -62, 24, 22, -63]

Pass 1:
  Compare -91 and 98
  No swap needed
  Compare 98 and 37
  Swap 98 and 37
  List after swap: [-91, 37, 98, -30, -62, 24, 22, -63]
  Compare 98 and -30
  Swap 98 and -30
  List after swap: [-91, 37, -30, 98, -62, 24, 22, -63]
  Compare 98 and -62
  Swap 98 and -62
  List after swap: [-91, 37, -30, -62, 98, 24, 22, -63]
  Compare 98 and 24
  Swap 98 and 24
  List after swap: [-91, 37, -30, -62, 24, 98, 22, -63]
  Compare 98 and 22
  Swap 98 and 22
  List after swap: [-91, 37, -30, -62, 24, 22, 98, -63]
  Compare 98 and -63
  Swap 98 and -63
  List after swap: [-91, 37, -30, -62, 24, 22, -63, 98]

Pass 2:
  Compare -91 and 37
  No swap needed
  Compare 37 and -30
  Swap 37 and -30
  List after swap: [-91, -30, 37, -62, 24, 22, -63, 98]
  Compare 37 and -62
  Swap 37 and -62
  List after swap: [-91, -30, -62, 37, 24, 22, -63, 98]
  Compare 37 and 24
  Swap 37 and 24
  List after swap: [-91, -30, -62, 24, 37, 22, -63, 98]
  Compare 37 and 22
  Swap 37 and 22
  List after swap: [-91, -30, -62, 24, 22, 37, -63, 98]
  Compare 37 and -63
  Swap 37 and -63
  List after swap: [-91, -30, -62, 24, 22, -63, 37, 98]

Pass 3:
  Compare -91 and -30
  No swap needed
  Compare -30 and -62
  Swap -30 and -62
  List after swap: [-91, -62, -30, 24, 22, -63, 37, 98]
  Compare -30 and 24
  No swap needed
  Compare 24 and 22
  Swap 24 and 22
  List after swap: [-91, -62, -30, 22, 24, -63, 37, 98]
  Compare 24 and -63
  Swap 24 and -63
  List after swap: [-91, -62, -30, 22, -63, 24, 37, 98]

Pass 4:
  Compare -91 and -62
  No swap needed
  Compare -62 and -30
  No swap needed
  Compare -30 and 22
  No swap needed
  Compare 22 and -63
  Swap 22 and -63
  List after swap: [-91, -62, -30, -63, 22, 24, 37, 98]

Pass 5:
  Compare -91 and -62
  No swap needed
  Compare -62 and -30
  No swap needed
  Compare -30 and -63
  Swap -30 and -63
  List after swap: [-91, -62, -63, -30, 22, 24, 37, 98]

Pass 6:
  Compare -91 and -62
  No swap needed
  Compare -62 and -63
  Swap -62 and -63
  List after swap: [-91, -63, -62, -30, 22, 24, 37, 98]

Pass 7:
  Compare -91 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -63, -62, -30, 22, 24, 37, 98]
</think>

<response>-91, -63, -62, -30, 22, 24, 37, 98</response>


input: Carry out the bubble sort algorithm on -93, -57, 76, -88, -51, -5, -97, -17 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-93, -57, 76, -88, -51, -5, -97, -17]

Pass 1:
  Compare -93 and -57
  No swap needed
  Compare -57 and 76
  No swap needed
  Compare 76 and -88
  Swap 76 and -88
  List after swap: [-93, -57, -88, 76, -51, -5, -97, -17]
  Compare 76 and -51
  Swap 76 and -51
  List after swap: [-93, -57, -88, -51, 76, -5, -97, -17]
  Compare 76 and -5
  Swap 76 and -5
  List after swap: [-93, -57, -88, -51, -5, 76, -97, -17]
  Compare 76 and -97
  Swap 76 and -97
  List after swap: [-93, -57, -88, -51, -5, -97, 76, -17]
  Compare 76 and -17
  Swap 76 and -17
  List after swap: [-93, -57, -88, -51, -5, -97, -17, 76]

Pass 2:
  Compare -93 and -57
  No swap needed
  Compare -57 and -88
  Swap -57 and -88
  List after swap: [-93, -88, -57, -51, -5, -97, -17, 76]
  Compare -57 and -51
  No swap needed
  Compare -51 and -5
  No swap needed
  Compare -5 and -97
  Swap -5 and -97
  List after swap: [-93, -88, -57, -51, -97, -5, -17, 76]
  Compare -5 and -17
  Swap -5 and -17
  List after swap: [-93, -88, -57, -51, -97, -17, -5, 76]

Pass 3:
  Compare -93 and -88
  No swap needed
  Compare -88 and -57
  No swap needed
  Compare -57 and -51
  No swap needed
  Compare -51 and -97
  Swap -51 and -97
  List after swap: [-93, -88, -57, -97, -51, -17, -5, 76]
  Compare -51 and -17
  No swap needed

Pass 4:
  Compare -93 and -88
  No swap needed
  Compare -88 and -57
  No swap needed
  Compare -57 and -97
  Swap -57 and -97
  List after swap: [-93, -88, -97, -57, -51, -17, -5, 76]
  Compare -57 and -51
  No swap needed

Pass 5:
  Compare -93 and -88
  No swap needed
  Compare -88 and -97
  Swap -88 and -97
  List after swap: [-93, -97, -88, -57, -51, -17, -5, 76]
  Compare -88 and -57
  No swap needed

Pass 6:
  Compare -93 and -97
  Swap -93 and -97
  List after swap: [-97, -93, -88, -57, -51, -17, -5, 76]
  Compare -93 and -88
  No swap needed

Pass 7:
  Compare -97 and -93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -93, -88, -57, -51, -17, -5, 76]
</think>

<response>-97, -93, -88, -57, -51, -17, -5, 76</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 11, 20, 48, 60, -59.

output:
<think>
Initial list: [11, 20, 48, 60, -59]

Pass 1:
  Compare 11 and 20
  No swap needed
  Compare 20 and 48
  No swap needed
  Compare 48 and 60
  No swap needed
  Compare 60 and -59
  Swap 60 and -59
  List after swap: [11, 20, 48, -59, 60]

Pass 2:
  Compare 11 and 20
  No swap needed
  Compare 20 and 48
  No swap needed
  Compare 48 and -59
  Swap 48 and -59
  List after swap: [11, 20, -59, 48, 60]

Pass 3:
  Compare 11 and 20
  No swap needed
  Compare 20 and -59
  Swap 20 and -59
  List after swap: [11, -59, 20, 48, 60]

Pass 4:
  Compare 11 and -59
  Swap 11 and -59
  List after swap: [-59, 11, 20, 48, 60]

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

Final sorted list: [-59, 11, 20, 48, 60]
</think>

<response>-59, 11, 20, 48, 60</response>


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

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

Pass 1:
  Compare -30 and -69
  Swap -30 and -69
  List after swap: [-69, -30]

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

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

<response>-69, -30</response>


input: Implement bubble sort on 13, -34, 70, -51, -32, -99 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [13, -34, 70, -51, -32, -99]

Pass 1:
  Compare 13 and -34
  Swap 13 and -34
  List after swap: [-34, 13, 70, -51, -32, -99]
  Compare 13 and 70
  No swap needed
  Compare 70 and -51
  Swap 70 and -51
  List after swap: [-34, 13, -51, 70, -32, -99]
  Compare 70 and -32
  Swap 70 and -32
  List after swap: [-34, 13, -51, -32, 70, -99]
  Compare 70 and -99
  Swap 70 and -99
  List after swap: [-34, 13, -51, -32, -99, 70]

Pass 2:
  Compare -34 and 13
  No swap needed
  Compare 13 and -51
  Swap 13 and -51
  List after swap: [-34, -51, 13, -32, -99, 70]
  Compare 13 and -32
  Swap 13 and -32
  List after swap: [-34, -51, -32, 13, -99, 70]
  Compare 13 and -99
  Swap 13 and -99
  List after swap: [-34, -51, -32, -99, 13, 70]

Pass 3:
  Compare -34 and -51
  Swap -34 and -51
  List after swap: [-51, -34, -32, -99, 13, 70]
  Compare -34 and -32
  No swap needed
  Compare -32 and -99
  Swap -32 and -99
  List after swap: [-51, -34, -99, -32, 13, 70]

Pass 4:
  Compare -51 and -34
  No swap needed
  Compare -34 and -99
  Swap -34 and -99
  List after swap: [-51, -99, -34, -32, 13, 70]

Pass 5:
  Compare -51 and -99
  Swap -51 and -99
  List after swap: [-99, -51, -34, -32, 13, 70]

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

Final sorted list: [-99, -51, -34, -32, 13, 70]
</think>

<response>-99, -51, -34, -32, 13, 70</response>


input: Implement bubble sort on 69, 67, 51, 17, -89, 65 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [69, 67, 51, 17, -89, 65]

Pass 1:
  Compare 69 and 67
  Swap 69 and 67
  List after swap: [67, 69, 51, 17, -89, 65]
  Compare 69 and 51
  Swap 69 and 51
  List after swap: [67, 51, 69, 17, -89, 65]
  Compare 69 and 17
  Swap 69 and 17
  List after swap: [67, 51, 17, 69, -89, 65]
  Compare 69 and -89
  Swap 69 and -89
  List after swap: [67, 51, 17, -89, 69, 65]
  Compare 69 and 65
  Swap 69 and 65
  List after swap: [67, 51, 17, -89, 65, 69]

Pass 2:
  Compare 67 and 51
  Swap 67 and 51
  List after swap: [51, 67, 17, -89, 65, 69]
  Compare 67 and 17
  Swap 67 and 17
  List after swap: [51, 17, 67, -89, 65, 69]
  Compare 67 and -89
  Swap 67 and -89
  List after swap: [51, 17, -89, 67, 65, 69]
  Compare 67 and 65
  Swap 67 and 65
  List after swap: [51, 17, -89, 65, 67, 69]

Pass 3:
  Compare 51 and 17
  Swap 51 and 17
  List after swap: [17, 51, -89, 65, 67, 69]
  Compare 51 and -89
  Swap 51 and -89
  List after swap: [17, -89, 51, 65, 67, 69]
  Compare 51 and 65
  No swap needed

Pass 4:
  Compare 17 and -89
  Swap 17 and -89
  List after swap: [-89, 17, 51, 65, 67, 69]
  Compare 17 and 51
  No swap needed

Pass 5:
  Compare -89 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, 17, 51, 65, 67, 69]
</think>

<response>-89, 17, 51, 65, 67, 69</response>


input: Perform a bubble sort on the integers -57, 10, -14, 88, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-57, 10, -14, 88]

Pass 1:
  Compare -57 and 10
  No swap needed
  Compare 10 and -14
  Swap 10 and -14
  List after swap: [-57, -14, 10, 88]
  Compare 10 and 88
  No swap needed

Pass 2:
  Compare -57 and -14
  No swap needed
  Compare -14 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -14, 10, 88]
</think>

<response>-57, -14, 10, 88</response>


input: Using the bubble sort method, sort -6, -52, -50, -64, -55, -69, 7 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-6, -52, -50, -64, -55, -69, 7]

Pass 1:
  Compare -6 and -52
  Swap -6 and -52
  List after swap: [-52, -6, -50, -64, -55, -69, 7]
  Compare -6 and -50
  Swap -6 and -50
  List after swap: [-52, -50, -6, -64, -55, -69, 7]
  Compare -6 and -64
  Swap -6 and -64
  List after swap: [-52, -50, -64, -6, -55, -69, 7]
  Compare -6 and -55
  Swap -6 and -55
  List after swap: [-52, -50, -64, -55, -6, -69, 7]
  Compare -6 and -69
  Swap -6 and -69
  List after swap: [-52, -50, -64, -55, -69, -6, 7]
  Compare -6 and 7
  No swap needed

Pass 2:
  Compare -52 and -50
  No swap needed
  Compare -50 and -64
  Swap -50 and -64
  List after swap: [-52, -64, -50, -55, -69, -6, 7]
  Compare -50 and -55
  Swap -50 and -55
  List after swap: [-52, -64, -55, -50, -69, -6, 7]
  Compare -50 and -69
  Swap -50 and -69
  List after swap: [-52, -64, -55, -69, -50, -6, 7]
  Compare -50 and -6
  No swap needed

Pass 3:
  Compare -52 and -64
  Swap -52 and -64
  List after swap: [-64, -52, -55, -69, -50, -6, 7]
  Compare -52 and -55
  Swap -52 and -55
  List after swap: [-64, -55, -52, -69, -50, -6, 7]
  Compare -52 and -69
  Swap -52 and -69
  List after swap: [-64, -55, -69, -52, -50, -6, 7]
  Compare -52 and -50
  No swap needed

Pass 4:
  Compare -64 and -55
  No swap needed
  Compare -55 and -69
  Swap -55 and -69
  List after swap: [-64, -69, -55, -52, -50, -6, 7]
  Compare -55 and -52
  No swap needed

Pass 5:
  Compare -64 and -69
  Swap -64 and -69
  List after swap: [-69, -64, -55, -52, -50, -6, 7]
  Compare -64 and -55
  No swap needed

Pass 6:
  Compare -69 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -64, -55, -52, -50, -6, 7]
</think>

<response>-69, -64, -55, -52, -50, -6, 7</response>


input: Sort the list 8, 84, -54, -72, 60, 67, 42, -67, 57 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [8, 84, -54, -72, 60, 67, 42, -67, 57]

Pass 1:
  Compare 8 and 84
  No swap needed
  Compare 84 and -54
  Swap 84 and -54
  List after swap: [8, -54, 84, -72, 60, 67, 42, -67, 57]
  Compare 84 and -72
  Swap 84 and -72
  List after swap: [8, -54, -72, 84, 60, 67, 42, -67, 57]
  Compare 84 and 60
  Swap 84 and 60
  List after swap: [8, -54, -72, 60, 84, 67, 42, -67, 57]
  Compare 84 and 67
  Swap 84 and 67
  List after swap: [8, -54, -72, 60, 67, 84, 42, -67, 57]
  Compare 84 and 42
  Swap 84 and 42
  List after swap: [8, -54, -72, 60, 67, 42, 84, -67, 57]
  Compare 84 and -67
  Swap 84 and -67
  List after swap: [8, -54, -72, 60, 67, 42, -67, 84, 57]
  Compare 84 and 57
  Swap 84 and 57
  List after swap: [8, -54, -72, 60, 67, 42, -67, 57, 84]

Pass 2:
  Compare 8 and -54
  Swap 8 and -54
  List after swap: [-54, 8, -72, 60, 67, 42, -67, 57, 84]
  Compare 8 and -72
  Swap 8 and -72
  List after swap: [-54, -72, 8, 60, 67, 42, -67, 57, 84]
  Compare 8 and 60
  No swap needed
  Compare 60 and 67
  No swap needed
  Compare 67 and 42
  Swap 67 and 42
  List after swap: [-54, -72, 8, 60, 42, 67, -67, 57, 84]
  Compare 67 and -67
  Swap 67 and -67
  List after swap: [-54, -72, 8, 60, 42, -67, 67, 57, 84]
  Compare 67 and 57
  Swap 67 and 57
  List after swap: [-54, -72, 8, 60, 42, -67, 57, 67, 84]

Pass 3:
  Compare -54 and -72
  Swap -54 and -72
  List after swap: [-72, -54, 8, 60, 42, -67, 57, 67, 84]
  Compare -54 and 8
  No swap needed
  Compare 8 and 60
  No swap needed
  Compare 60 and 42
  Swap 60 and 42
  List after swap: [-72, -54, 8, 42, 60, -67, 57, 67, 84]
  Compare 60 and -67
  Swap 60 and -67
  List after swap: [-72, -54, 8, 42, -67, 60, 57, 67, 84]
  Compare 60 and 57
  Swap 60 and 57
  List after swap: [-72, -54, 8, 42, -67, 57, 60, 67, 84]

Pass 4:
  Compare -72 and -54
  No swap needed
  Compare -54 and 8
  No swap needed
  Compare 8 and 42
  No swap needed
  Compare 42 and -67
  Swap 42 and -67
  List after swap: [-72, -54, 8, -67, 42, 57, 60, 67, 84]
  Compare 42 and 57
  No swap needed

Pass 5:
  Compare -72 and -54
  No swap needed
  Compare -54 and 8
  No swap needed
  Compare 8 and -67
  Swap 8 and -67
  List after swap: [-72, -54, -67, 8, 42, 57, 60, 67, 84]
  Compare 8 and 42
  No swap needed

Pass 6:
  Compare -72 and -54
  No swap needed
  Compare -54 and -67
  Swap -54 and -67
  List after swap: [-72, -67, -54, 8, 42, 57, 60, 67, 84]
  Compare -54 and 8
  No swap needed

Pass 7:
  Compare -72 and -67
  No swap needed
  Compare -67 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -67, -54, 8, 42, 57, 60, 67, 84]
</think>

<response>-72, -67, -54, 8, 42, 57, 60, 67, 84</response>


input: Arrange the numbers -76, -87, 68 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-76, -87, 68]

Pass 1:
  Compare -76 and -87
  Swap -76 and -87
  List after swap: [-87, -76, 68]
  Compare -76 and 68
  No swap needed

Pass 2:
  Compare -87 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -76, 68]
</think>

<response>-87, -76, 68</response>


input: Execute bubble sort to sort -94, 31, -35, -40, 92, 78 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-94, 31, -35, -40, 92, 78]

Pass 1:
  Compare -94 and 31
  No swap needed
  Compare 31 and -35
  Swap 31 and -35
  List after swap: [-94, -35, 31, -40, 92, 78]
  Compare 31 and -40
  Swap 31 and -40
  List after swap: [-94, -35, -40, 31, 92, 78]
  Compare 31 and 92
  No swap needed
  Compare 92 and 78
  Swap 92 and 78
  List after swap: [-94, -35, -40, 31, 78, 92]

Pass 2:
  Compare -94 and -35
  No swap needed
  Compare -35 and -40
  Swap -35 and -40
  List after swap: [-94, -40, -35, 31, 78, 92]
  Compare -35 and 31
  No swap needed
  Compare 31 and 78
  No swap needed

Pass 3:
  Compare -94 and -40
  No swap needed
  Compare -40 and -35
  No swap needed
  Compare -35 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -40, -35, 31, 78, 92]
</think>

<response>-94, -40, -35, 31, 78, 92</response>


input: Sort the list 31, 19, 60 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [31, 19, 60]

Pass 1:
  Compare 31 and 19
  Swap 31 and 19
  List after swap: [19, 31, 60]
  Compare 31 and 60
  No swap needed

Pass 2:
  Compare 19 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [19, 31, 60]
</think>

<response>19, 31, 60</response>


input: Demonstrate how bubble sort orders the integers -24, 99, 93, 16, -58, 6 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-24, 99, 93, 16, -58, 6]

Pass 1:
  Compare -24 and 99
  No swap needed
  Compare 99 and 93
  Swap 99 and 93
  List after swap: [-24, 93, 99, 16, -58, 6]
  Compare 99 and 16
  Swap 99 and 16
  List after swap: [-24, 93, 16, 99, -58, 6]
  Compare 99 and -58
  Swap 99 and -58
  List after swap: [-24, 93, 16, -58, 99, 6]
  Compare 99 and 6
  Swap 99 and 6
  List after swap: [-24, 93, 16, -58, 6, 99]

Pass 2:
  Compare -24 and 93
  No swap needed
  Compare 93 and 16
  Swap 93 and 16
  List after swap: [-24, 16, 93, -58, 6, 99]
  Compare 93 and -58
  Swap 93 and -58
  List after swap: [-24, 16, -58, 93, 6, 99]
  Compare 93 and 6
  Swap 93 and 6
  List after swap: [-24, 16, -58, 6, 93, 99]

Pass 3:
  Compare -24 and 16
  No swap needed
  Compare 16 and -58
  Swap 16 and -58
  List after swap: [-24, -58, 16, 6, 93, 99]
  Compare 16 and 6
  Swap 16 and 6
  List after swap: [-24, -58, 6, 16, 93, 99]

Pass 4:
  Compare -24 and -58
  Swap -24 and -58
  List after swap: [-58, -24, 6, 16, 93, 99]
  Compare -24 and 6
  No swap needed

Pass 5:
  Compare -58 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -24, 6, 16, 93, 99]
</think>

<response>-58, -24, 6, 16, 93, 99</response>


input: Demonstrate how bubble sort orders the integers -98, -91, -64, 60, -81, 53, -26, -30, -62 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-98, -91, -64, 60, -81, 53, -26, -30, -62]

Pass 1:
  Compare -98 and -91
  No swap needed
  Compare -91 and -64
  No swap needed
  Compare -64 and 60
  No swap needed
  Compare 60 and -81
  Swap 60 and -81
  List after swap: [-98, -91, -64, -81, 60, 53, -26, -30, -62]
  Compare 60 and 53
  Swap 60 and 53
  List after swap: [-98, -91, -64, -81, 53, 60, -26, -30, -62]
  Compare 60 and -26
  Swap 60 and -26
  List after swap: [-98, -91, -64, -81, 53, -26, 60, -30, -62]
  Compare 60 and -30
  Swap 60 and -30
  List after swap: [-98, -91, -64, -81, 53, -26, -30, 60, -62]
  Compare 60 and -62
  Swap 60 and -62
  List after swap: [-98, -91, -64, -81, 53, -26, -30, -62, 60]

Pass 2:
  Compare -98 and -91
  No swap needed
  Compare -91 and -64
  No swap needed
  Compare -64 and -81
  Swap -64 and -81
  List after swap: [-98, -91, -81, -64, 53, -26, -30, -62, 60]
  Compare -64 and 53
  No swap needed
  Compare 53 and -26
  Swap 53 and -26
  List after swap: [-98, -91, -81, -64, -26, 53, -30, -62, 60]
  Compare 53 and -30
  Swap 53 and -30
  List after swap: [-98, -91, -81, -64, -26, -30, 53, -62, 60]
  Compare 53 and -62
  Swap 53 and -62
  List after swap: [-98, -91, -81, -64, -26, -30, -62, 53, 60]

Pass 3:
  Compare -98 and -91
  No swap needed
  Compare -91 and -81
  No swap needed
  Compare -81 and -64
  No swap needed
  Compare -64 and -26
  No swap needed
  Compare -26 and -30
  Swap -26 and -30
  List after swap: [-98, -91, -81, -64, -30, -26, -62, 53, 60]
  Compare -26 and -62
  Swap -26 and -62
  List after swap: [-98, -91, -81, -64, -30, -62, -26, 53, 60]

Pass 4:
  Compare -98 and -91
  No swap needed
  Compare -91 and -81
  No swap needed
  Compare -81 and -64
  No swap needed
  Compare -64 and -30
  No swap needed
  Compare -30 and -62
  Swap -30 and -62
  List after swap: [-98, -91, -81, -64, -62, -30, -26, 53, 60]

Pass 5:
  Compare -98 and -91
  No swap needed
  Compare -91 and -81
  No swap needed
  Compare -81 and -64
  No swap needed
  Compare -64 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -91, -81, -64, -62, -30, -26, 53, 60]
</think>

<response>-98, -91, -81, -64, -62, -30, -26, 53, 60</response>


input: Carry out the bubble sort algorithm on -84, -13, 65 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-84, -13, 65]

Pass 1:
  Compare -84 and -13
  No swap needed
  Compare -13 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -13, 65]
</think>

<response>-84, -13, 65</response>


input: Demonstrate how bubble sort orders the integers 79, -76, -7, -16, 74, 98, -30, 60, 93, 6 in ascending sequence, showing all steps.

output:
<think>
Initial list: [79, -76, -7, -16, 74, 98, -30, 60, 93, 6]

Pass 1:
  Compare 79 and -76
  Swap 79 and -76
  List after swap: [-76, 79, -7, -16, 74, 98, -30, 60, 93, 6]
  Compare 79 and -7
  Swap 79 and -7
  List after swap: [-76, -7, 79, -16, 74, 98, -30, 60, 93, 6]
  Compare 79 and -16
  Swap 79 and -16
  List after swap: [-76, -7, -16, 79, 74, 98, -30, 60, 93, 6]
  Compare 79 and 74
  Swap 79 and 74
  List after swap: [-76, -7, -16, 74, 79, 98, -30, 60, 93, 6]
  Compare 79 and 98
  No swap needed
  Compare 98 and -30
  Swap 98 and -30
  List after swap: [-76, -7, -16, 74, 79, -30, 98, 60, 93, 6]
  Compare 98 and 60
  Swap 98 and 60
  List after swap: [-76, -7, -16, 74, 79, -30, 60, 98, 93, 6]
  Compare 98 and 93
  Swap 98 and 93
  List after swap: [-76, -7, -16, 74, 79, -30, 60, 93, 98, 6]
  Compare 98 and 6
  Swap 98 and 6
  List after swap: [-76, -7, -16, 74, 79, -30, 60, 93, 6, 98]

Pass 2:
  Compare -76 and -7
  No swap needed
  Compare -7 and -16
  Swap -7 and -16
  List after swap: [-76, -16, -7, 74, 79, -30, 60, 93, 6, 98]
  Compare -7 and 74
  No swap needed
  Compare 74 and 79
  No swap needed
  Compare 79 and -30
  Swap 79 and -30
  List after swap: [-76, -16, -7, 74, -30, 79, 60, 93, 6, 98]
  Compare 79 and 60
  Swap 79 and 60
  List after swap: [-76, -16, -7, 74, -30, 60, 79, 93, 6, 98]
  Compare 79 and 93
  No swap needed
  Compare 93 and 6
  Swap 93 and 6
  List after swap: [-76, -16, -7, 74, -30, 60, 79, 6, 93, 98]

Pass 3:
  Compare -76 and -16
  No swap needed
  Compare -16 and -7
  No swap needed
  Compare -7 and 74
  No swap needed
  Compare 74 and -30
  Swap 74 and -30
  List after swap: [-76, -16, -7, -30, 74, 60, 79, 6, 93, 98]
  Compare 74 and 60
  Swap 74 and 60
  List after swap: [-76, -16, -7, -30, 60, 74, 79, 6, 93, 98]
  Compare 74 and 79
  No swap needed
  Compare 79 and 6
  Swap 79 and 6
  List after swap: [-76, -16, -7, -30, 60, 74, 6, 79, 93, 98]

Pass 4:
  Compare -76 and -16
  No swap needed
  Compare -16 and -7
  No swap needed
  Compare -7 and -30
  Swap -7 and -30
  List after swap: [-76, -16, -30, -7, 60, 74, 6, 79, 93, 98]
  Compare -7 and 60
  No swap needed
  Compare 60 and 74
  No swap needed
  Compare 74 and 6
  Swap 74 and 6
  List after swap: [-76, -16, -30, -7, 60, 6, 74, 79, 93, 98]

Pass 5:
  Compare -76 and -16
  No swap needed
  Compare -16 and -30
  Swap -16 and -30
  List after swap: [-76, -30, -16, -7, 60, 6, 74, 79, 93, 98]
  Compare -16 and -7
  No swap needed
  Compare -7 and 60
  No swap needed
  Compare 60 and 6
  Swap 60 and 6
  List after swap: [-76, -30, -16, -7, 6, 60, 74, 79, 93, 98]

Pass 6:
  Compare -76 and -30
  No swap needed
  Compare -30 and -16
  No swap needed
  Compare -16 and -7
  No swap needed
  Compare -7 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -30, -16, -7, 6, 60, 74, 79, 93, 98]
</think>

<response>-76, -30, -16, -7, 6, 60, 74, 79, 93, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 67, -42, -21, 99, -74, 85, 86, 60, -81, -25.

output:
<think>
Initial list: [67, -42, -21, 99, -74, 85, 86, 60, -81, -25]

Pass 1:
  Compare 67 and -42
  Swap 67 and -42
  List after swap: [-42, 67, -21, 99, -74, 85, 86, 60, -81, -25]
  Compare 67 and -21
  Swap 67 and -21
  List after swap: [-42, -21, 67, 99, -74, 85, 86, 60, -81, -25]
  Compare 67 and 99
  No swap needed
  Compare 99 and -74
  Swap 99 and -74
  List after swap: [-42, -21, 67, -74, 99, 85, 86, 60, -81, -25]
  Compare 99 and 85
  Swap 99 and 85
  List after swap: [-42, -21, 67, -74, 85, 99, 86, 60, -81, -25]
  Compare 99 and 86
  Swap 99 and 86
  List after swap: [-42, -21, 67, -74, 85, 86, 99, 60, -81, -25]
  Compare 99 and 60
  Swap 99 and 60
  List after swap: [-42, -21, 67, -74, 85, 86, 60, 99, -81, -25]
  Compare 99 and -81
  Swap 99 and -81
  List after swap: [-42, -21, 67, -74, 85, 86, 60, -81, 99, -25]
  Compare 99 and -25
  Swap 99 and -25
  List after swap: [-42, -21, 67, -74, 85, 86, 60, -81, -25, 99]

Pass 2:
  Compare -42 and -21
  No swap needed
  Compare -21 and 67
  No swap needed
  Compare 67 and -74
  Swap 67 and -74
  List after swap: [-42, -21, -74, 67, 85, 86, 60, -81, -25, 99]
  Compare 67 and 85
  No swap needed
  Compare 85 and 86
  No swap needed
  Compare 86 and 60
  Swap 86 and 60
  List after swap: [-42, -21, -74, 67, 85, 60, 86, -81, -25, 99]
  Compare 86 and -81
  Swap 86 and -81
  List after swap: [-42, -21, -74, 67, 85, 60, -81, 86, -25, 99]
  Compare 86 and -25
  Swap 86 and -25
  List after swap: [-42, -21, -74, 67, 85, 60, -81, -25, 86, 99]

Pass 3:
  Compare -42 and -21
  No swap needed
  Compare -21 and -74
  Swap -21 and -74
  List after swap: [-42, -74, -21, 67, 85, 60, -81, -25, 86, 99]
  Compare -21 and 67
  No swap needed
  Compare 67 and 85
  No swap needed
  Compare 85 and 60
  Swap 85 and 60
  List after swap: [-42, -74, -21, 67, 60, 85, -81, -25, 86, 99]
  Compare 85 and -81
  Swap 85 and -81
  List after swap: [-42, -74, -21, 67, 60, -81, 85, -25, 86, 99]
  Compare 85 and -25
  Swap 85 and -25
  List after swap: [-42, -74, -21, 67, 60, -81, -25, 85, 86, 99]

Pass 4:
  Compare -42 and -74
  Swap -42 and -74
  List after swap: [-74, -42, -21, 67, 60, -81, -25, 85, 86, 99]
  Compare -42 and -21
  No swap needed
  Compare -21 and 67
  No swap needed
  Compare 67 and 60
  Swap 67 and 60
  List after swap: [-74, -42, -21, 60, 67, -81, -25, 85, 86, 99]
  Compare 67 and -81
  Swap 67 and -81
  List after swap: [-74, -42, -21, 60, -81, 67, -25, 85, 86, 99]
  Compare 67 and -25
  Swap 67 and -25
  List after swap: [-74, -42, -21, 60, -81, -25, 67, 85, 86, 99]

Pass 5:
  Compare -74 and -42
  No swap needed
  Compare -42 and -21
  No swap needed
  Compare -21 and 60
  No swap needed
  Compare 60 and -81
  Swap 60 and -81
  List after swap: [-74, -42, -21, -81, 60, -25, 67, 85, 86, 99]
  Compare 60 and -25
  Swap 60 and -25
  List after swap: [-74, -42, -21, -81, -25, 60, 67, 85, 86, 99]

Pass 6:
  Compare -74 and -42
  No swap needed
  Compare -42 and -21
  No swap needed
  Compare -21 and -81
  Swap -21 and -81
  List after swap: [-74, -42, -81, -21, -25, 60, 67, 85, 86, 99]
  Compare -21 and -25
  Swap -21 and -25
  List after swap: [-74, -42, -81, -25, -21, 60, 67, 85, 86, 99]

Pass 7:
  Compare -74 and -42
  No swap needed
  Compare -42 and -81
  Swap -42 and -81
  List after swap: [-74, -81, -42, -25, -21, 60, 67, 85, 86, 99]
  Compare -42 and -25
  No swap needed

Pass 8:
  Compare -74 and -81
  Swap -74 and -81
  List after swap: [-81, -74, -42, -25, -21, 60, 67, 85, 86, 99]
  Compare -74 and -42
  No swap needed

Pass 9:
  Compare -81 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -74, -42, -25, -21, 60, 67, 85, 86, 99]
</think>

<response>-81, -74, -42, -25, -21, 60, 67, 85, 86, 99</response>


input: Arrange the numbers -1, 27, 74, 14, 84, -71, -18, 63, 88, -8 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-1, 27, 74, 14, 84, -71, -18, 63, 88, -8]

Pass 1:
  Compare -1 and 27
  No swap needed
  Compare 27 and 74
  No swap needed
  Compare 74 and 14
  Swap 74 and 14
  List after swap: [-1, 27, 14, 74, 84, -71, -18, 63, 88, -8]
  Compare 74 and 84
  No swap needed
  Compare 84 and -71
  Swap 84 and -71
  List after swap: [-1, 27, 14, 74, -71, 84, -18, 63, 88, -8]
  Compare 84 and -18
  Swap 84 and -18
  List after swap: [-1, 27, 14, 74, -71, -18, 84, 63, 88, -8]
  Compare 84 and 63
  Swap 84 and 63
  List after swap: [-1, 27, 14, 74, -71, -18, 63, 84, 88, -8]
  Compare 84 and 88
  No swap needed
  Compare 88 and -8
  Swap 88 and -8
  List after swap: [-1, 27, 14, 74, -71, -18, 63, 84, -8, 88]

Pass 2:
  Compare -1 and 27
  No swap needed
  Compare 27 and 14
  Swap 27 and 14
  List after swap: [-1, 14, 27, 74, -71, -18, 63, 84, -8, 88]
  Compare 27 and 74
  No swap needed
  Compare 74 and -71
  Swap 74 and -71
  List after swap: [-1, 14, 27, -71, 74, -18, 63, 84, -8, 88]
  Compare 74 and -18
  Swap 74 and -18
  List after swap: [-1, 14, 27, -71, -18, 74, 63, 84, -8, 88]
  Compare 74 and 63
  Swap 74 and 63
  List after swap: [-1, 14, 27, -71, -18, 63, 74, 84, -8, 88]
  Compare 74 and 84
  No swap needed
  Compare 84 and -8
  Swap 84 and -8
  List after swap: [-1, 14, 27, -71, -18, 63, 74, -8, 84, 88]

Pass 3:
  Compare -1 and 14
  No swap needed
  Compare 14 and 27
  No swap needed
  Compare 27 and -71
  Swap 27 and -71
  List after swap: [-1, 14, -71, 27, -18, 63, 74, -8, 84, 88]
  Compare 27 and -18
  Swap 27 and -18
  List after swap: [-1, 14, -71, -18, 27, 63, 74, -8, 84, 88]
  Compare 27 and 63
  No swap needed
  Compare 63 and 74
  No swap needed
  Compare 74 and -8
  Swap 74 and -8
  List after swap: [-1, 14, -71, -18, 27, 63, -8, 74, 84, 88]

Pass 4:
  Compare -1 and 14
  No swap needed
  Compare 14 and -71
  Swap 14 and -71
  List after swap: [-1, -71, 14, -18, 27, 63, -8, 74, 84, 88]
  Compare 14 and -18
  Swap 14 and -18
  List after swap: [-1, -71, -18, 14, 27, 63, -8, 74, 84, 88]
  Compare 14 and 27
  No swap needed
  Compare 27 and 63
  No swap needed
  Compare 63 and -8
  Swap 63 and -8
  List after swap: [-1, -71, -18, 14, 27, -8, 63, 74, 84, 88]

Pass 5:
  Compare -1 and -71
  Swap -1 and -71
  List after swap: [-71, -1, -18, 14, 27, -8, 63, 74, 84, 88]
  Compare -1 and -18
  Swap -1 and -18
  List after swap: [-71, -18, -1, 14, 27, -8, 63, 74, 84, 88]
  Compare -1 and 14
  No swap needed
  Compare 14 and 27
  No swap needed
  Compare 27 and -8
  Swap 27 and -8
  List after swap: [-71, -18, -1, 14, -8, 27, 63, 74, 84, 88]

Pass 6:
  Compare -71 and -18
  No swap needed
  Compare -18 and -1
  No swap needed
  Compare -1 and 14
  No swap needed
  Compare 14 and -8
  Swap 14 and -8
  List after swap: [-71, -18, -1, -8, 14, 27, 63, 74, 84, 88]

Pass 7:
  Compare -71 and -18
  No swap needed
  Compare -18 and -1
  No swap needed
  Compare -1 and -8
  Swap -1 and -8
  List after swap: [-71, -18, -8, -1, 14, 27, 63, 74, 84, 88]

Pass 8:
  Compare -71 and -18
  No swap needed
  Compare -18 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -18, -8, -1, 14, 27, 63, 74, 84, 88]
</think>

<response>-71, -18, -8, -1, 14, 27, 63, 74, 84, 88</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -51, 56, 49, 80.

output:
<think>
Initial list: [-51, 56, 49, 80]

Pass 1:
  Compare -51 and 56
  No swap needed
  Compare 56 and 49
  Swap 56 and 49
  List after swap: [-51, 49, 56, 80]
  Compare 56 and 80
  No swap needed

Pass 2:
  Compare -51 and 49
  No swap needed
  Compare 49 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, 49, 56, 80]
</think>

<response>-51, 49, 56, 80</response>


input: Carry out the bubble sort algorithm on 11, -31, 33, -13, 95, 89, 35, 54 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [11, -31, 33, -13, 95, 89, 35, 54]

Pass 1:
  Compare 11 and -31
  Swap 11 and -31
  List after swap: [-31, 11, 33, -13, 95, 89, 35, 54]
  Compare 11 and 33
  No swap needed
  Compare 33 and -13
  Swap 33 and -13
  List after swap: [-31, 11, -13, 33, 95, 89, 35, 54]
  Compare 33 and 95
  No swap needed
  Compare 95 and 89
  Swap 95 and 89
  List after swap: [-31, 11, -13, 33, 89, 95, 35, 54]
  Compare 95 and 35
  Swap 95 and 35
  List after swap: [-31, 11, -13, 33, 89, 35, 95, 54]
  Compare 95 and 54
  Swap 95 and 54
  List after swap: [-31, 11, -13, 33, 89, 35, 54, 95]

Pass 2:
  Compare -31 and 11
  No swap needed
  Compare 11 and -13
  Swap 11 and -13
  List after swap: [-31, -13, 11, 33, 89, 35, 54, 95]
  Compare 11 and 33
  No swap needed
  Compare 33 and 89
  No swap needed
  Compare 89 and 35
  Swap 89 and 35
  List after swap: [-31, -13, 11, 33, 35, 89, 54, 95]
  Compare 89 and 54
  Swap 89 and 54
  List after swap: [-31, -13, 11, 33, 35, 54, 89, 95]

Pass 3:
  Compare -31 and -13
  No swap needed
  Compare -13 and 11
  No swap needed
  Compare 11 and 33
  No swap needed
  Compare 33 and 35
  No swap needed
  Compare 35 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -13, 11, 33, 35, 54, 89, 95]
</think>

<response>-31, -13, 11, 33, 35, 54, 89, 95</response>


input: Sort the list -3, -26, -24, -74 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-3, -26, -24, -74]

Pass 1:
  Compare -3 and -26
  Swap -3 and -26
  List after swap: [-26, -3, -24, -74]
  Compare -3 and -24
  Swap -3 and -24
  List after swap: [-26, -24, -3, -74]
  Compare -3 and -74
  Swap -3 and -74
  List after swap: [-26, -24, -74, -3]

Pass 2:
  Compare -26 and -24
  No swap needed
  Compare -24 and -74
  Swap -24 and -74
  List after swap: [-26, -74, -24, -3]

Pass 3:
  Compare -26 and -74
  Swap -26 and -74
  List after swap: [-74, -26, -24, -3]

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

Final sorted list: [-74, -26, -24, -3]
</think>

<response>-74, -26, -24, -3</response>


input: Use the bubble sort technique to reorder 40, -38, 43, 89 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [40, -38, 43, 89]

Pass 1:
  Compare 40 and -38
  Swap 40 and -38
  List after swap: [-38, 40, 43, 89]
  Compare 40 and 43
  No swap needed
  Compare 43 and 89
  No swap needed

Pass 2:
  Compare -38 and 40
  No swap needed
  Compare 40 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, 40, 43, 89]
</think>

<response>-38, 40, 43, 89</response>


input: Demonstrate how bubble sort orders the integers 26, 5, 17, 97, 47, -51, 71 in ascending sequence, showing all steps.

output:
<think>
Initial list: [26, 5, 17, 97, 47, -51, 71]

Pass 1:
  Compare 26 and 5
  Swap 26 and 5
  List after swap: [5, 26, 17, 97, 47, -51, 71]
  Compare 26 and 17
  Swap 26 and 17
  List after swap: [5, 17, 26, 97, 47, -51, 71]
  Compare 26 and 97
  No swap needed
  Compare 97 and 47
  Swap 97 and 47
  List after swap: [5, 17, 26, 47, 97, -51, 71]
  Compare 97 and -51
  Swap 97 and -51
  List after swap: [5, 17, 26, 47, -51, 97, 71]
  Compare 97 and 71
  Swap 97 and 71
  List after swap: [5, 17, 26, 47, -51, 71, 97]

Pass 2:
  Compare 5 and 17
  No swap needed
  Compare 17 and 26
  No swap needed
  Compare 26 and 47
  No swap needed
  Compare 47 and -51
  Swap 47 and -51
  List after swap: [5, 17, 26, -51, 47, 71, 97]
  Compare 47 and 71
  No swap needed

Pass 3:
  Compare 5 and 17
  No swap needed
  Compare 17 and 26
  No swap needed
  Compare 26 and -51
  Swap 26 and -51
  List after swap: [5, 17, -51, 26, 47, 71, 97]
  Compare 26 and 47
  No swap needed

Pass 4:
  Compare 5 and 17
  No swap needed
  Compare 17 and -51
  Swap 17 and -51
  List after swap: [5, -51, 17, 26, 47, 71, 97]
  Compare 17 and 26
  No swap needed

Pass 5:
  Compare 5 and -51
  Swap 5 and -51
  List after swap: [-51, 5, 17, 26, 47, 71, 97]
  Compare 5 and 17
  No swap needed

Pass 6:
  Compare -51 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, 5, 17, 26, 47, 71, 97]
</think>

<response>-51, 5, 17, 26, 47, 71, 97</response>


input: Implement bubble sort on 51, -28, 91, 50, -5 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [51, -28, 91, 50, -5]

Pass 1:
  Compare 51 and -28
  Swap 51 and -28
  List after swap: [-28, 51, 91, 50, -5]
  Compare 51 and 91
  No swap needed
  Compare 91 and 50
  Swap 91 and 50
  List after swap: [-28, 51, 50, 91, -5]
  Compare 91 and -5
  Swap 91 and -5
  List after swap: [-28, 51, 50, -5, 91]

Pass 2:
  Compare -28 and 51
  No swap needed
  Compare 51 and 50
  Swap 51 and 50
  List after swap: [-28, 50, 51, -5, 91]
  Compare 51 and -5
  Swap 51 and -5
  List after swap: [-28, 50, -5, 51, 91]

Pass 3:
  Compare -28 and 50
  No swap needed
  Compare 50 and -5
  Swap 50 and -5
  List after swap: [-28, -5, 50, 51, 91]

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

Final sorted list: [-28, -5, 50, 51, 91]
</think>

<response>-28, -5, 50, 51, 91</response>


input: Use the bubble sort technique to reorder 25, 58, -53, -83, -32, -72, -33, 73 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [25, 58, -53, -83, -32, -72, -33, 73]

Pass 1:
  Compare 25 and 58
  No swap needed
  Compare 58 and -53
  Swap 58 and -53
  List after swap: [25, -53, 58, -83, -32, -72, -33, 73]
  Compare 58 and -83
  Swap 58 and -83
  List after swap: [25, -53, -83, 58, -32, -72, -33, 73]
  Compare 58 and -32
  Swap 58 and -32
  List after swap: [25, -53, -83, -32, 58, -72, -33, 73]
  Compare 58 and -72
  Swap 58 and -72
  List after swap: [25, -53, -83, -32, -72, 58, -33, 73]
  Compare 58 and -33
  Swap 58 and -33
  List after swap: [25, -53, -83, -32, -72, -33, 58, 73]
  Compare 58 and 73
  No swap needed

Pass 2:
  Compare 25 and -53
  Swap 25 and -53
  List after swap: [-53, 25, -83, -32, -72, -33, 58, 73]
  Compare 25 and -83
  Swap 25 and -83
  List after swap: [-53, -83, 25, -32, -72, -33, 58, 73]
  Compare 25 and -32
  Swap 25 and -32
  List after swap: [-53, -83, -32, 25, -72, -33, 58, 73]
  Compare 25 and -72
  Swap 25 and -72
  List after swap: [-53, -83, -32, -72, 25, -33, 58, 73]
  Compare 25 and -33
  Swap 25 and -33
  List after swap: [-53, -83, -32, -72, -33, 25, 58, 73]
  Compare 25 and 58
  No swap needed

Pass 3:
  Compare -53 and -83
  Swap -53 and -83
  List after swap: [-83, -53, -32, -72, -33, 25, 58, 73]
  Compare -53 and -32
  No swap needed
  Compare -32 and -72
  Swap -32 and -72
  List after swap: [-83, -53, -72, -32, -33, 25, 58, 73]
  Compare -32 and -33
  Swap -32 and -33
  List after swap: [-83, -53, -72, -33, -32, 25, 58, 73]
  Compare -32 and 25
  No swap needed

Pass 4:
  Compare -83 and -53
  No swap needed
  Compare -53 and -72
  Swap -53 and -72
  List after swap: [-83, -72, -53, -33, -32, 25, 58, 73]
  Compare -53 and -33
  No swap needed
  Compare -33 and -32
  No swap needed

Pass 5:
  Compare -83 and -72
  No swap needed
  Compare -72 and -53
  No swap needed
  Compare -53 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -72, -53, -33, -32, 25, 58, 73]
</think>

<response>-83, -72, -53, -33, -32, 25, 58, 73</response>


input: Arrange the numbers 61, 83, -55, -6, 15, 55, 0, 79 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [61, 83, -55, -6, 15, 55, 0, 79]

Pass 1:
  Compare 61 and 83
  No swap needed
  Compare 83 and -55
  Swap 83 and -55
  List after swap: [61, -55, 83, -6, 15, 55, 0, 79]
  Compare 83 and -6
  Swap 83 and -6
  List after swap: [61, -55, -6, 83, 15, 55, 0, 79]
  Compare 83 and 15
  Swap 83 and 15
  List after swap: [61, -55, -6, 15, 83, 55, 0, 79]
  Compare 83 and 55
  Swap 83 and 55
  List after swap: [61, -55, -6, 15, 55, 83, 0, 79]
  Compare 83 and 0
  Swap 83 and 0
  List after swap: [61, -55, -6, 15, 55, 0, 83, 79]
  Compare 83 and 79
  Swap 83 and 79
  List after swap: [61, -55, -6, 15, 55, 0, 79, 83]

Pass 2:
  Compare 61 and -55
  Swap 61 and -55
  List after swap: [-55, 61, -6, 15, 55, 0, 79, 83]
  Compare 61 and -6
  Swap 61 and -6
  List after swap: [-55, -6, 61, 15, 55, 0, 79, 83]
  Compare 61 and 15
  Swap 61 and 15
  List after swap: [-55, -6, 15, 61, 55, 0, 79, 83]
  Compare 61 and 55
  Swap 61 and 55
  List after swap: [-55, -6, 15, 55, 61, 0, 79, 83]
  Compare 61 and 0
  Swap 61 and 0
  List after swap: [-55, -6, 15, 55, 0, 61, 79, 83]
  Compare 61 and 79
  No swap needed

Pass 3:
  Compare -55 and -6
  No swap needed
  Compare -6 and 15
  No swap needed
  Compare 15 and 55
  No swap needed
  Compare 55 and 0
  Swap 55 and 0
  List after swap: [-55, -6, 15, 0, 55, 61, 79, 83]
  Compare 55 and 61
  No swap needed

Pass 4:
  Compare -55 and -6
  No swap needed
  Compare -6 and 15
  No swap needed
  Compare 15 and 0
  Swap 15 and 0
  List after swap: [-55, -6, 0, 15, 55, 61, 79, 83]
  Compare 15 and 55
  No swap needed

Pass 5:
  Compare -55 and -6
  No swap needed
  Compare -6 and 0
  No swap needed
  Compare 0 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -6, 0, 15, 55, 61, 79, 83]
</think>

<response>-55, -6, 0, 15, 55, 61, 79, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -82, 45, 73, -16, -77, 2, -63, 92, -61.

output:
<think>
Initial list: [-82, 45, 73, -16, -77, 2, -63, 92, -61]

Pass 1:
  Compare -82 and 45
  No swap needed
  Compare 45 and 73
  No swap needed
  Compare 73 and -16
  Swap 73 and -16
  List after swap: [-82, 45, -16, 73, -77, 2, -63, 92, -61]
  Compare 73 and -77
  Swap 73 and -77
  List after swap: [-82, 45, -16, -77, 73, 2, -63, 92, -61]
  Compare 73 and 2
  Swap 73 and 2
  List after swap: [-82, 45, -16, -77, 2, 73, -63, 92, -61]
  Compare 73 and -63
  Swap 73 and -63
  List after swap: [-82, 45, -16, -77, 2, -63, 73, 92, -61]
  Compare 73 and 92
  No swap needed
  Compare 92 and -61
  Swap 92 and -61
  List after swap: [-82, 45, -16, -77, 2, -63, 73, -61, 92]

Pass 2:
  Compare -82 and 45
  No swap needed
  Compare 45 and -16
  Swap 45 and -16
  List after swap: [-82, -16, 45, -77, 2, -63, 73, -61, 92]
  Compare 45 and -77
  Swap 45 and -77
  List after swap: [-82, -16, -77, 45, 2, -63, 73, -61, 92]
  Compare 45 and 2
  Swap 45 and 2
  List after swap: [-82, -16, -77, 2, 45, -63, 73, -61, 92]
  Compare 45 and -63
  Swap 45 and -63
  List after swap: [-82, -16, -77, 2, -63, 45, 73, -61, 92]
  Compare 45 and 73
  No swap needed
  Compare 73 and -61
  Swap 73 and -61
  List after swap: [-82, -16, -77, 2, -63, 45, -61, 73, 92]

Pass 3:
  Compare -82 and -16
  No swap needed
  Compare -16 and -77
  Swap -16 and -77
  List after swap: [-82, -77, -16, 2, -63, 45, -61, 73, 92]
  Compare -16 and 2
  No swap needed
  Compare 2 and -63
  Swap 2 and -63
  List after swap: [-82, -77, -16, -63, 2, 45, -61, 73, 92]
  Compare 2 and 45
  No swap needed
  Compare 45 and -61
  Swap 45 and -61
  List after swap: [-82, -77, -16, -63, 2, -61, 45, 73, 92]

Pass 4:
  Compare -82 and -77
  No swap needed
  Compare -77 and -16
  No swap needed
  Compare -16 and -63
  Swap -16 and -63
  List after swap: [-82, -77, -63, -16, 2, -61, 45, 73, 92]
  Compare -16 and 2
  No swap needed
  Compare 2 and -61
  Swap 2 and -61
  List after swap: [-82, -77, -63, -16, -61, 2, 45, 73, 92]

Pass 5:
  Compare -82 and -77
  No swap needed
  Compare -77 and -63
  No swap needed
  Compare -63 and -16
  No swap needed
  Compare -16 and -61
  Swap -16 and -61
  List after swap: [-82, -77, -63, -61, -16, 2, 45, 73, 92]

Pass 6:
  Compare -82 and -77
  No swap needed
  Compare -77 and -63
  No swap needed
  Compare -63 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -77, -63, -61, -16, 2, 45, 73, 92]
</think>

<response>-82, -77, -63, -61, -16, 2, 45, 73, 92</response>


input: Sort these integers 68, 25, 56, -25 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [68, 25, 56, -25]

Pass 1:
  Compare 68 and 25
  Swap 68 and 25
  List after swap: [25, 68, 56, -25]
  Compare 68 and 56
  Swap 68 and 56
  List after swap: [25, 56, 68, -25]
  Compare 68 and -25
  Swap 68 and -25
  List after swap: [25, 56, -25, 68]

Pass 2:
  Compare 25 and 56
  No swap needed
  Compare 56 and -25
  Swap 56 and -25
  List after swap: [25, -25, 56, 68]

Pass 3:
  Compare 25 and -25
  Swap 25 and -25
  List after swap: [-25, 25, 56, 68]

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

Final sorted list: [-25, 25, 56, 68]
</think>

<response>-25, 25, 56, 68</response>


input: Using the bubble sort method, sort -7, -14, -94, 61, -23, 93, -30 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-7, -14, -94, 61, -23, 93, -30]

Pass 1:
  Compare -7 and -14
  Swap -7 and -14
  List after swap: [-14, -7, -94, 61, -23, 93, -30]
  Compare -7 and -94
  Swap -7 and -94
  List after swap: [-14, -94, -7, 61, -23, 93, -30]
  Compare -7 and 61
  No swap needed
  Compare 61 and -23
  Swap 61 and -23
  List after swap: [-14, -94, -7, -23, 61, 93, -30]
  Compare 61 and 93
  No swap needed
  Compare 93 and -30
  Swap 93 and -30
  List after swap: [-14, -94, -7, -23, 61, -30, 93]

Pass 2:
  Compare -14 and -94
  Swap -14 and -94
  List after swap: [-94, -14, -7, -23, 61, -30, 93]
  Compare -14 and -7
  No swap needed
  Compare -7 and -23
  Swap -7 and -23
  List after swap: [-94, -14, -23, -7, 61, -30, 93]
  Compare -7 and 61
  No swap needed
  Compare 61 and -30
  Swap 61 and -30
  List after swap: [-94, -14, -23, -7, -30, 61, 93]

Pass 3:
  Compare -94 and -14
  No swap needed
  Compare -14 and -23
  Swap -14 and -23
  List after swap: [-94, -23, -14, -7, -30, 61, 93]
  Compare -14 and -7
  No swap needed
  Compare -7 and -30
  Swap -7 and -30
  List after swap: [-94, -23, -14, -30, -7, 61, 93]

Pass 4:
  Compare -94 and -23
  No swap needed
  Compare -23 and -14
  No swap needed
  Compare -14 and -30
  Swap -14 and -30
  List after swap: [-94, -23, -30, -14, -7, 61, 93]

Pass 5:
  Compare -94 and -23
  No swap needed
  Compare -23 and -30
  Swap -23 and -30
  List after swap: [-94, -30, -23, -14, -7, 61, 93]

Pass 6:
  Compare -94 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -30, -23, -14, -7, 61, 93]
</think>

<response>-94, -30, -23, -14, -7, 61, 93</response>


input: Sort the list -54, 75, -84, -76, 77, -37, 8, 52 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-54, 75, -84, -76, 77, -37, 8, 52]

Pass 1:
  Compare -54 and 75
  No swap needed
  Compare 75 and -84
  Swap 75 and -84
  List after swap: [-54, -84, 75, -76, 77, -37, 8, 52]
  Compare 75 and -76
  Swap 75 and -76
  List after swap: [-54, -84, -76, 75, 77, -37, 8, 52]
  Compare 75 and 77
  No swap needed
  Compare 77 and -37
  Swap 77 and -37
  List after swap: [-54, -84, -76, 75, -37, 77, 8, 52]
  Compare 77 and 8
  Swap 77 and 8
  List after swap: [-54, -84, -76, 75, -37, 8, 77, 52]
  Compare 77 and 52
  Swap 77 and 52
  List after swap: [-54, -84, -76, 75, -37, 8, 52, 77]

Pass 2:
  Compare -54 and -84
  Swap -54 and -84
  List after swap: [-84, -54, -76, 75, -37, 8, 52, 77]
  Compare -54 and -76
  Swap -54 and -76
  List after swap: [-84, -76, -54, 75, -37, 8, 52, 77]
  Compare -54 and 75
  No swap needed
  Compare 75 and -37
  Swap 75 and -37
  List after swap: [-84, -76, -54, -37, 75, 8, 52, 77]
  Compare 75 and 8
  Swap 75 and 8
  List after swap: [-84, -76, -54, -37, 8, 75, 52, 77]
  Compare 75 and 52
  Swap 75 and 52
  List after swap: [-84, -76, -54, -37, 8, 52, 75, 77]

Pass 3:
  Compare -84 and -76
  No swap needed
  Compare -76 and -54
  No swap needed
  Compare -54 and -37
  No swap needed
  Compare -37 and 8
  No swap needed
  Compare 8 and 52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -76, -54, -37, 8, 52, 75, 77]
</think>

<response>-84, -76, -54, -37, 8, 52, 75, 77</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -29, 61, -41, -9, 75.

output:
<think>
Initial list: [-29, 61, -41, -9, 75]

Pass 1:
  Compare -29 and 61
  No swap needed
  Compare 61 and -41
  Swap 61 and -41
  List after swap: [-29, -41, 61, -9, 75]
  Compare 61 and -9
  Swap 61 and -9
  List after swap: [-29, -41, -9, 61, 75]
  Compare 61 and 75
  No swap needed

Pass 2:
  Compare -29 and -41
  Swap -29 and -41
  List after swap: [-41, -29, -9, 61, 75]
  Compare -29 and -9
  No swap needed
  Compare -9 and 61
  No swap needed

Pass 3:
  Compare -41 and -29
  No swap needed
  Compare -29 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -29, -9, 61, 75]
</think>

<response>-41, -29, -9, 61, 75</response>


input: Perform a bubble sort on the integers -28, 11, -44, -86, -6, 58, 46, -93, 85, -35, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-28, 11, -44, -86, -6, 58, 46, -93, 85, -35]

Pass 1:
  Compare -28 and 11
  No swap needed
  Compare 11 and -44
  Swap 11 and -44
  List after swap: [-28, -44, 11, -86, -6, 58, 46, -93, 85, -35]
  Compare 11 and -86
  Swap 11 and -86
  List after swap: [-28, -44, -86, 11, -6, 58, 46, -93, 85, -35]
  Compare 11 and -6
  Swap 11 and -6
  List after swap: [-28, -44, -86, -6, 11, 58, 46, -93, 85, -35]
  Compare 11 and 58
  No swap needed
  Compare 58 and 46
  Swap 58 and 46
  List after swap: [-28, -44, -86, -6, 11, 46, 58, -93, 85, -35]
  Compare 58 and -93
  Swap 58 and -93
  List after swap: [-28, -44, -86, -6, 11, 46, -93, 58, 85, -35]
  Compare 58 and 85
  No swap needed
  Compare 85 and -35
  Swap 85 and -35
  List after swap: [-28, -44, -86, -6, 11, 46, -93, 58, -35, 85]

Pass 2:
  Compare -28 and -44
  Swap -28 and -44
  List after swap: [-44, -28, -86, -6, 11, 46, -93, 58, -35, 85]
  Compare -28 and -86
  Swap -28 and -86
  List after swap: [-44, -86, -28, -6, 11, 46, -93, 58, -35, 85]
  Compare -28 and -6
  No swap needed
  Compare -6 and 11
  No swap needed
  Compare 11 and 46
  No swap needed
  Compare 46 and -93
  Swap 46 and -93
  List after swap: [-44, -86, -28, -6, 11, -93, 46, 58, -35, 85]
  Compare 46 and 58
  No swap needed
  Compare 58 and -35
  Swap 58 and -35
  List after swap: [-44, -86, -28, -6, 11, -93, 46, -35, 58, 85]

Pass 3:
  Compare -44 and -86
  Swap -44 and -86
  List after swap: [-86, -44, -28, -6, 11, -93, 46, -35, 58, 85]
  Compare -44 and -28
  No swap needed
  Compare -28 and -6
  No swap needed
  Compare -6 and 11
  No swap needed
  Compare 11 and -93
  Swap 11 and -93
  List after swap: [-86, -44, -28, -6, -93, 11, 46, -35, 58, 85]
  Compare 11 and 46
  No swap needed
  Compare 46 and -35
  Swap 46 and -35
  List after swap: [-86, -44, -28, -6, -93, 11, -35, 46, 58, 85]

Pass 4:
  Compare -86 and -44
  No swap needed
  Compare -44 and -28
  No swap needed
  Compare -28 and -6
  No swap needed
  Compare -6 and -93
  Swap -6 and -93
  List after swap: [-86, -44, -28, -93, -6, 11, -35, 46, 58, 85]
  Compare -6 and 11
  No swap needed
  Compare 11 and -35
  Swap 11 and -35
  List after swap: [-86, -44, -28, -93, -6, -35, 11, 46, 58, 85]

Pass 5:
  Compare -86 and -44
  No swap needed
  Compare -44 and -28
  No swap needed
  Compare -28 and -93
  Swap -28 and -93
  List after swap: [-86, -44, -93, -28, -6, -35, 11, 46, 58, 85]
  Compare -28 and -6
  No swap needed
  Compare -6 and -35
  Swap -6 and -35
  List after swap: [-86, -44, -93, -28, -35, -6, 11, 46, 58, 85]

Pass 6:
  Compare -86 and -44
  No swap needed
  Compare -44 and -93
  Swap -44 and -93
  List after swap: [-86, -93, -44, -28, -35, -6, 11, 46, 58, 85]
  Compare -44 and -28
  No swap needed
  Compare -28 and -35
  Swap -28 and -35
  List after swap: [-86, -93, -44, -35, -28, -6, 11, 46, 58, 85]

Pass 7:
  Compare -86 and -93
  Swap -86 and -93
  List after swap: [-93, -86, -44, -35, -28, -6, 11, 46, 58, 85]
  Compare -86 and -44
  No swap needed
  Compare -44 and -35
  No swap needed

Pass 8:
  Compare -93 and -86
  No swap needed
  Compare -86 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -86, -44, -35, -28, -6, 11, 46, 58, 85]
</think>

<response>-93, -86, -44, -35, -28, -6, 11, 46, 58, 85</response>


input: Using the bubble sort method, sort -10, -82, -72, -67 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-10, -82, -72, -67]

Pass 1:
  Compare -10 and -82
  Swap -10 and -82
  List after swap: [-82, -10, -72, -67]
  Compare -10 and -72
  Swap -10 and -72
  List after swap: [-82, -72, -10, -67]
  Compare -10 and -67
  Swap -10 and -67
  List after swap: [-82, -72, -67, -10]

Pass 2:
  Compare -82 and -72
  No swap needed
  Compare -72 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -72, -67, -10]
</think>

<response>-82, -72, -67, -10</response>


input: Use the bubble sort technique to reorder 57, -53, -74, -57, 10, 53, 39, 70 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [57, -53, -74, -57, 10, 53, 39, 70]

Pass 1:
  Compare 57 and -53
  Swap 57 and -53
  List after swap: [-53, 57, -74, -57, 10, 53, 39, 70]
  Compare 57 and -74
  Swap 57 and -74
  List after swap: [-53, -74, 57, -57, 10, 53, 39, 70]
  Compare 57 and -57
  Swap 57 and -57
  List after swap: [-53, -74, -57, 57, 10, 53, 39, 70]
  Compare 57 and 10
  Swap 57 and 10
  List after swap: [-53, -74, -57, 10, 57, 53, 39, 70]
  Compare 57 and 53
  Swap 57 and 53
  List after swap: [-53, -74, -57, 10, 53, 57, 39, 70]
  Compare 57 and 39
  Swap 57 and 39
  List after swap: [-53, -74, -57, 10, 53, 39, 57, 70]
  Compare 57 and 70
  No swap needed

Pass 2:
  Compare -53 and -74
  Swap -53 and -74
  List after swap: [-74, -53, -57, 10, 53, 39, 57, 70]
  Compare -53 and -57
  Swap -53 and -57
  List after swap: [-74, -57, -53, 10, 53, 39, 57, 70]
  Compare -53 and 10
  No swap needed
  Compare 10 and 53
  No swap needed
  Compare 53 and 39
  Swap 53 and 39
  List after swap: [-74, -57, -53, 10, 39, 53, 57, 70]
  Compare 53 and 57
  No swap needed

Pass 3:
  Compare -74 and -57
  No swap needed
  Compare -57 and -53
  No swap needed
  Compare -53 and 10
  No swap needed
  Compare 10 and 39
  No swap needed
  Compare 39 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -57, -53, 10, 39, 53, 57, 70]
</think>

<response>-74, -57, -53, 10, 39, 53, 57, 70</response>


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

output:
<think>
Initial list: [-58, -29]

Pass 1:
  Compare -58 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -29]
</think>

<response>-58, -29</response>


input: Using the bubble sort method, sort 16, 50, -96, -47, -38 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [16, 50, -96, -47, -38]

Pass 1:
  Compare 16 and 50
  No swap needed
  Compare 50 and -96
  Swap 50 and -96
  List after swap: [16, -96, 50, -47, -38]
  Compare 50 and -47
  Swap 50 and -47
  List after swap: [16, -96, -47, 50, -38]
  Compare 50 and -38
  Swap 50 and -38
  List after swap: [16, -96, -47, -38, 50]

Pass 2:
  Compare 16 and -96
  Swap 16 and -96
  List after swap: [-96, 16, -47, -38, 50]
  Compare 16 and -47
  Swap 16 and -47
  List after swap: [-96, -47, 16, -38, 50]
  Compare 16 and -38
  Swap 16 and -38
  List after swap: [-96, -47, -38, 16, 50]

Pass 3:
  Compare -96 and -47
  No swap needed
  Compare -47 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -47, -38, 16, 50]
</think>

<response>-96, -47, -38, 16, 50</response>