input: Using the bubble sort method, sort -99, 80, -96, 53, 39, -38, 76, -78, 90, -53 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-99, 80, -96, 53, 39, -38, 76, -78, 90, -53]

Pass 1:
  Compare -99 and 80
  No swap needed
  Compare 80 and -96
  Swap 80 and -96
  List after swap: [-99, -96, 80, 53, 39, -38, 76, -78, 90, -53]
  Compare 80 and 53
  Swap 80 and 53
  List after swap: [-99, -96, 53, 80, 39, -38, 76, -78, 90, -53]
  Compare 80 and 39
  Swap 80 and 39
  List after swap: [-99, -96, 53, 39, 80, -38, 76, -78, 90, -53]
  Compare 80 and -38
  Swap 80 and -38
  List after swap: [-99, -96, 53, 39, -38, 80, 76, -78, 90, -53]
  Compare 80 and 76
  Swap 80 and 76
  List after swap: [-99, -96, 53, 39, -38, 76, 80, -78, 90, -53]
  Compare 80 and -78
  Swap 80 and -78
  List after swap: [-99, -96, 53, 39, -38, 76, -78, 80, 90, -53]
  Compare 80 and 90
  No swap needed
  Compare 90 and -53
  Swap 90 and -53
  List after swap: [-99, -96, 53, 39, -38, 76, -78, 80, -53, 90]

Pass 2:
  Compare -99 and -96
  No swap needed
  Compare -96 and 53
  No swap needed
  Compare 53 and 39
  Swap 53 and 39
  List after swap: [-99, -96, 39, 53, -38, 76, -78, 80, -53, 90]
  Compare 53 and -38
  Swap 53 and -38
  List after swap: [-99, -96, 39, -38, 53, 76, -78, 80, -53, 90]
  Compare 53 and 76
  No swap needed
  Compare 76 and -78
  Swap 76 and -78
  List after swap: [-99, -96, 39, -38, 53, -78, 76, 80, -53, 90]
  Compare 76 and 80
  No swap needed
  Compare 80 and -53
  Swap 80 and -53
  List after swap: [-99, -96, 39, -38, 53, -78, 76, -53, 80, 90]

Pass 3:
  Compare -99 and -96
  No swap needed
  Compare -96 and 39
  No swap needed
  Compare 39 and -38
  Swap 39 and -38
  List after swap: [-99, -96, -38, 39, 53, -78, 76, -53, 80, 90]
  Compare 39 and 53
  No swap needed
  Compare 53 and -78
  Swap 53 and -78
  List after swap: [-99, -96, -38, 39, -78, 53, 76, -53, 80, 90]
  Compare 53 and 76
  No swap needed
  Compare 76 and -53
  Swap 76 and -53
  List after swap: [-99, -96, -38, 39, -78, 53, -53, 76, 80, 90]

Pass 4:
  Compare -99 and -96
  No swap needed
  Compare -96 and -38
  No swap needed
  Compare -38 and 39
  No swap needed
  Compare 39 and -78
  Swap 39 and -78
  List after swap: [-99, -96, -38, -78, 39, 53, -53, 76, 80, 90]
  Compare 39 and 53
  No swap needed
  Compare 53 and -53
  Swap 53 and -53
  List after swap: [-99, -96, -38, -78, 39, -53, 53, 76, 80, 90]

Pass 5:
  Compare -99 and -96
  No swap needed
  Compare -96 and -38
  No swap needed
  Compare -38 and -78
  Swap -38 and -78
  List after swap: [-99, -96, -78, -38, 39, -53, 53, 76, 80, 90]
  Compare -38 and 39
  No swap needed
  Compare 39 and -53
  Swap 39 and -53
  List after swap: [-99, -96, -78, -38, -53, 39, 53, 76, 80, 90]

Pass 6:
  Compare -99 and -96
  No swap needed
  Compare -96 and -78
  No swap needed
  Compare -78 and -38
  No swap needed
  Compare -38 and -53
  Swap -38 and -53
  List after swap: [-99, -96, -78, -53, -38, 39, 53, 76, 80, 90]

Pass 7:
  Compare -99 and -96
  No swap needed
  Compare -96 and -78
  No swap needed
  Compare -78 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -96, -78, -53, -38, 39, 53, 76, 80, 90]
</think>

<response>-99, -96, -78, -53, -38, 39, 53, 76, 80, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -65, -63, 23, 29, -39, -22, -8, 96, 81, -27.

output:
<think>
Initial list: [-65, -63, 23, 29, -39, -22, -8, 96, 81, -27]

Pass 1:
  Compare -65 and -63
  No swap needed
  Compare -63 and 23
  No swap needed
  Compare 23 and 29
  No swap needed
  Compare 29 and -39
  Swap 29 and -39
  List after swap: [-65, -63, 23, -39, 29, -22, -8, 96, 81, -27]
  Compare 29 and -22
  Swap 29 and -22
  List after swap: [-65, -63, 23, -39, -22, 29, -8, 96, 81, -27]
  Compare 29 and -8
  Swap 29 and -8
  List after swap: [-65, -63, 23, -39, -22, -8, 29, 96, 81, -27]
  Compare 29 and 96
  No swap needed
  Compare 96 and 81
  Swap 96 and 81
  List after swap: [-65, -63, 23, -39, -22, -8, 29, 81, 96, -27]
  Compare 96 and -27
  Swap 96 and -27
  List after swap: [-65, -63, 23, -39, -22, -8, 29, 81, -27, 96]

Pass 2:
  Compare -65 and -63
  No swap needed
  Compare -63 and 23
  No swap needed
  Compare 23 and -39
  Swap 23 and -39
  List after swap: [-65, -63, -39, 23, -22, -8, 29, 81, -27, 96]
  Compare 23 and -22
  Swap 23 and -22
  List after swap: [-65, -63, -39, -22, 23, -8, 29, 81, -27, 96]
  Compare 23 and -8
  Swap 23 and -8
  List after swap: [-65, -63, -39, -22, -8, 23, 29, 81, -27, 96]
  Compare 23 and 29
  No swap needed
  Compare 29 and 81
  No swap needed
  Compare 81 and -27
  Swap 81 and -27
  List after swap: [-65, -63, -39, -22, -8, 23, 29, -27, 81, 96]

Pass 3:
  Compare -65 and -63
  No swap needed
  Compare -63 and -39
  No swap needed
  Compare -39 and -22
  No swap needed
  Compare -22 and -8
  No swap needed
  Compare -8 and 23
  No swap needed
  Compare 23 and 29
  No swap needed
  Compare 29 and -27
  Swap 29 and -27
  List after swap: [-65, -63, -39, -22, -8, 23, -27, 29, 81, 96]

Pass 4:
  Compare -65 and -63
  No swap needed
  Compare -63 and -39
  No swap needed
  Compare -39 and -22
  No swap needed
  Compare -22 and -8
  No swap needed
  Compare -8 and 23
  No swap needed
  Compare 23 and -27
  Swap 23 and -27
  List after swap: [-65, -63, -39, -22, -8, -27, 23, 29, 81, 96]

Pass 5:
  Compare -65 and -63
  No swap needed
  Compare -63 and -39
  No swap needed
  Compare -39 and -22
  No swap needed
  Compare -22 and -8
  No swap needed
  Compare -8 and -27
  Swap -8 and -27
  List after swap: [-65, -63, -39, -22, -27, -8, 23, 29, 81, 96]

Pass 6:
  Compare -65 and -63
  No swap needed
  Compare -63 and -39
  No swap needed
  Compare -39 and -22
  No swap needed
  Compare -22 and -27
  Swap -22 and -27
  List after swap: [-65, -63, -39, -27, -22, -8, 23, 29, 81, 96]

Pass 7:
  Compare -65 and -63
  No swap needed
  Compare -63 and -39
  No swap needed
  Compare -39 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -63, -39, -27, -22, -8, 23, 29, 81, 96]
</think>

<response>-65, -63, -39, -27, -22, -8, 23, 29, 81, 96</response>


input: Sort the list -67, -97, 57 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-67, -97, 57]

Pass 1:
  Compare -67 and -97
  Swap -67 and -97
  List after swap: [-97, -67, 57]
  Compare -67 and 57
  No swap needed

Pass 2:
  Compare -97 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -67, 57]
</think>

<response>-97, -67, 57</response>


input: Demonstrate how bubble sort orders the integers 27, -28, 21, -27, 20, -41, 18, -79 in ascending sequence, showing all steps.

output:
<think>
Initial list: [27, -28, 21, -27, 20, -41, 18, -79]

Pass 1:
  Compare 27 and -28
  Swap 27 and -28
  List after swap: [-28, 27, 21, -27, 20, -41, 18, -79]
  Compare 27 and 21
  Swap 27 and 21
  List after swap: [-28, 21, 27, -27, 20, -41, 18, -79]
  Compare 27 and -27
  Swap 27 and -27
  List after swap: [-28, 21, -27, 27, 20, -41, 18, -79]
  Compare 27 and 20
  Swap 27 and 20
  List after swap: [-28, 21, -27, 20, 27, -41, 18, -79]
  Compare 27 and -41
  Swap 27 and -41
  List after swap: [-28, 21, -27, 20, -41, 27, 18, -79]
  Compare 27 and 18
  Swap 27 and 18
  List after swap: [-28, 21, -27, 20, -41, 18, 27, -79]
  Compare 27 and -79
  Swap 27 and -79
  List after swap: [-28, 21, -27, 20, -41, 18, -79, 27]

Pass 2:
  Compare -28 and 21
  No swap needed
  Compare 21 and -27
  Swap 21 and -27
  List after swap: [-28, -27, 21, 20, -41, 18, -79, 27]
  Compare 21 and 20
  Swap 21 and 20
  List after swap: [-28, -27, 20, 21, -41, 18, -79, 27]
  Compare 21 and -41
  Swap 21 and -41
  List after swap: [-28, -27, 20, -41, 21, 18, -79, 27]
  Compare 21 and 18
  Swap 21 and 18
  List after swap: [-28, -27, 20, -41, 18, 21, -79, 27]
  Compare 21 and -79
  Swap 21 and -79
  List after swap: [-28, -27, 20, -41, 18, -79, 21, 27]

Pass 3:
  Compare -28 and -27
  No swap needed
  Compare -27 and 20
  No swap needed
  Compare 20 and -41
  Swap 20 and -41
  List after swap: [-28, -27, -41, 20, 18, -79, 21, 27]
  Compare 20 and 18
  Swap 20 and 18
  List after swap: [-28, -27, -41, 18, 20, -79, 21, 27]
  Compare 20 and -79
  Swap 20 and -79
  List after swap: [-28, -27, -41, 18, -79, 20, 21, 27]

Pass 4:
  Compare -28 and -27
  No swap needed
  Compare -27 and -41
  Swap -27 and -41
  List after swap: [-28, -41, -27, 18, -79, 20, 21, 27]
  Compare -27 and 18
  No swap needed
  Compare 18 and -79
  Swap 18 and -79
  List after swap: [-28, -41, -27, -79, 18, 20, 21, 27]

Pass 5:
  Compare -28 and -41
  Swap -28 and -41
  List after swap: [-41, -28, -27, -79, 18, 20, 21, 27]
  Compare -28 and -27
  No swap needed
  Compare -27 and -79
  Swap -27 and -79
  List after swap: [-41, -28, -79, -27, 18, 20, 21, 27]

Pass 6:
  Compare -41 and -28
  No swap needed
  Compare -28 and -79
  Swap -28 and -79
  List after swap: [-41, -79, -28, -27, 18, 20, 21, 27]

Pass 7:
  Compare -41 and -79
  Swap -41 and -79
  List after swap: [-79, -41, -28, -27, 18, 20, 21, 27]

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

Final sorted list: [-79, -41, -28, -27, 18, 20, 21, 27]
</think>

<response>-79, -41, -28, -27, 18, 20, 21, 27</response>


input: Execute bubble sort to sort 68, -2, -86, 41, 15, -4, 2, 76, 93, 99 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [68, -2, -86, 41, 15, -4, 2, 76, 93, 99]

Pass 1:
  Compare 68 and -2
  Swap 68 and -2
  List after swap: [-2, 68, -86, 41, 15, -4, 2, 76, 93, 99]
  Compare 68 and -86
  Swap 68 and -86
  List after swap: [-2, -86, 68, 41, 15, -4, 2, 76, 93, 99]
  Compare 68 and 41
  Swap 68 and 41
  List after swap: [-2, -86, 41, 68, 15, -4, 2, 76, 93, 99]
  Compare 68 and 15
  Swap 68 and 15
  List after swap: [-2, -86, 41, 15, 68, -4, 2, 76, 93, 99]
  Compare 68 and -4
  Swap 68 and -4
  List after swap: [-2, -86, 41, 15, -4, 68, 2, 76, 93, 99]
  Compare 68 and 2
  Swap 68 and 2
  List after swap: [-2, -86, 41, 15, -4, 2, 68, 76, 93, 99]
  Compare 68 and 76
  No swap needed
  Compare 76 and 93
  No swap needed
  Compare 93 and 99
  No swap needed

Pass 2:
  Compare -2 and -86
  Swap -2 and -86
  List after swap: [-86, -2, 41, 15, -4, 2, 68, 76, 93, 99]
  Compare -2 and 41
  No swap needed
  Compare 41 and 15
  Swap 41 and 15
  List after swap: [-86, -2, 15, 41, -4, 2, 68, 76, 93, 99]
  Compare 41 and -4
  Swap 41 and -4
  List after swap: [-86, -2, 15, -4, 41, 2, 68, 76, 93, 99]
  Compare 41 and 2
  Swap 41 and 2
  List after swap: [-86, -2, 15, -4, 2, 41, 68, 76, 93, 99]
  Compare 41 and 68
  No swap needed
  Compare 68 and 76
  No swap needed
  Compare 76 and 93
  No swap needed

Pass 3:
  Compare -86 and -2
  No swap needed
  Compare -2 and 15
  No swap needed
  Compare 15 and -4
  Swap 15 and -4
  List after swap: [-86, -2, -4, 15, 2, 41, 68, 76, 93, 99]
  Compare 15 and 2
  Swap 15 and 2
  List after swap: [-86, -2, -4, 2, 15, 41, 68, 76, 93, 99]
  Compare 15 and 41
  No swap needed
  Compare 41 and 68
  No swap needed
  Compare 68 and 76
  No swap needed

Pass 4:
  Compare -86 and -2
  No swap needed
  Compare -2 and -4
  Swap -2 and -4
  List after swap: [-86, -4, -2, 2, 15, 41, 68, 76, 93, 99]
  Compare -2 and 2
  No swap needed
  Compare 2 and 15
  No swap needed
  Compare 15 and 41
  No swap needed
  Compare 41 and 68
  No swap needed

Pass 5:
  Compare -86 and -4
  No swap needed
  Compare -4 and -2
  No swap needed
  Compare -2 and 2
  No swap needed
  Compare 2 and 15
  No swap needed
  Compare 15 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -4, -2, 2, 15, 41, 68, 76, 93, 99]
</think>

<response>-86, -4, -2, 2, 15, 41, 68, 76, 93, 99</response>


input: Implement bubble sort on 75, -41 to achieve ascending order, writing out each step in detail.

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

Pass 1:
  Compare 75 and -41
  Swap 75 and -41
  List after swap: [-41, 75]

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

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

<response>-41, 75</response>


input: Execute bubble sort to sort 59, -22, -18, -77, -51, -23, 47 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [59, -22, -18, -77, -51, -23, 47]

Pass 1:
  Compare 59 and -22
  Swap 59 and -22
  List after swap: [-22, 59, -18, -77, -51, -23, 47]
  Compare 59 and -18
  Swap 59 and -18
  List after swap: [-22, -18, 59, -77, -51, -23, 47]
  Compare 59 and -77
  Swap 59 and -77
  List after swap: [-22, -18, -77, 59, -51, -23, 47]
  Compare 59 and -51
  Swap 59 and -51
  List after swap: [-22, -18, -77, -51, 59, -23, 47]
  Compare 59 and -23
  Swap 59 and -23
  List after swap: [-22, -18, -77, -51, -23, 59, 47]
  Compare 59 and 47
  Swap 59 and 47
  List after swap: [-22, -18, -77, -51, -23, 47, 59]

Pass 2:
  Compare -22 and -18
  No swap needed
  Compare -18 and -77
  Swap -18 and -77
  List after swap: [-22, -77, -18, -51, -23, 47, 59]
  Compare -18 and -51
  Swap -18 and -51
  List after swap: [-22, -77, -51, -18, -23, 47, 59]
  Compare -18 and -23
  Swap -18 and -23
  List after swap: [-22, -77, -51, -23, -18, 47, 59]
  Compare -18 and 47
  No swap needed

Pass 3:
  Compare -22 and -77
  Swap -22 and -77
  List after swap: [-77, -22, -51, -23, -18, 47, 59]
  Compare -22 and -51
  Swap -22 and -51
  List after swap: [-77, -51, -22, -23, -18, 47, 59]
  Compare -22 and -23
  Swap -22 and -23
  List after swap: [-77, -51, -23, -22, -18, 47, 59]
  Compare -22 and -18
  No swap needed

Pass 4:
  Compare -77 and -51
  No swap needed
  Compare -51 and -23
  No swap needed
  Compare -23 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -51, -23, -22, -18, 47, 59]
</think>

<response>-77, -51, -23, -22, -18, 47, 59</response>


input: Sort the list -84, -57, -89, -46, 10, 52, 54, 92, 88 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-84, -57, -89, -46, 10, 52, 54, 92, 88]

Pass 1:
  Compare -84 and -57
  No swap needed
  Compare -57 and -89
  Swap -57 and -89
  List after swap: [-84, -89, -57, -46, 10, 52, 54, 92, 88]
  Compare -57 and -46
  No swap needed
  Compare -46 and 10
  No swap needed
  Compare 10 and 52
  No swap needed
  Compare 52 and 54
  No swap needed
  Compare 54 and 92
  No swap needed
  Compare 92 and 88
  Swap 92 and 88
  List after swap: [-84, -89, -57, -46, 10, 52, 54, 88, 92]

Pass 2:
  Compare -84 and -89
  Swap -84 and -89
  List after swap: [-89, -84, -57, -46, 10, 52, 54, 88, 92]
  Compare -84 and -57
  No swap needed
  Compare -57 and -46
  No swap needed
  Compare -46 and 10
  No swap needed
  Compare 10 and 52
  No swap needed
  Compare 52 and 54
  No swap needed
  Compare 54 and 88
  No swap needed

Pass 3:
  Compare -89 and -84
  No swap needed
  Compare -84 and -57
  No swap needed
  Compare -57 and -46
  No swap needed
  Compare -46 and 10
  No swap needed
  Compare 10 and 52
  No swap needed
  Compare 52 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -84, -57, -46, 10, 52, 54, 88, 92]
</think>

<response>-89, -84, -57, -46, 10, 52, 54, 88, 92</response>


input: Execute bubble sort to sort 58, -32, 36, 99 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [58, -32, 36, 99]

Pass 1:
  Compare 58 and -32
  Swap 58 and -32
  List after swap: [-32, 58, 36, 99]
  Compare 58 and 36
  Swap 58 and 36
  List after swap: [-32, 36, 58, 99]
  Compare 58 and 99
  No swap needed

Pass 2:
  Compare -32 and 36
  No swap needed
  Compare 36 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, 36, 58, 99]
</think>

<response>-32, 36, 58, 99</response>


input: Implement bubble sort on 19, -1 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [19, -1]

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

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

Final sorted list: [-1, 19]
</think>

<response>-1, 19</response>


input: Sort the list 53, -68, 72, 16, -71, -73, 46 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [53, -68, 72, 16, -71, -73, 46]

Pass 1:
  Compare 53 and -68
  Swap 53 and -68
  List after swap: [-68, 53, 72, 16, -71, -73, 46]
  Compare 53 and 72
  No swap needed
  Compare 72 and 16
  Swap 72 and 16
  List after swap: [-68, 53, 16, 72, -71, -73, 46]
  Compare 72 and -71
  Swap 72 and -71
  List after swap: [-68, 53, 16, -71, 72, -73, 46]
  Compare 72 and -73
  Swap 72 and -73
  List after swap: [-68, 53, 16, -71, -73, 72, 46]
  Compare 72 and 46
  Swap 72 and 46
  List after swap: [-68, 53, 16, -71, -73, 46, 72]

Pass 2:
  Compare -68 and 53
  No swap needed
  Compare 53 and 16
  Swap 53 and 16
  List after swap: [-68, 16, 53, -71, -73, 46, 72]
  Compare 53 and -71
  Swap 53 and -71
  List after swap: [-68, 16, -71, 53, -73, 46, 72]
  Compare 53 and -73
  Swap 53 and -73
  List after swap: [-68, 16, -71, -73, 53, 46, 72]
  Compare 53 and 46
  Swap 53 and 46
  List after swap: [-68, 16, -71, -73, 46, 53, 72]

Pass 3:
  Compare -68 and 16
  No swap needed
  Compare 16 and -71
  Swap 16 and -71
  List after swap: [-68, -71, 16, -73, 46, 53, 72]
  Compare 16 and -73
  Swap 16 and -73
  List after swap: [-68, -71, -73, 16, 46, 53, 72]
  Compare 16 and 46
  No swap needed

Pass 4:
  Compare -68 and -71
  Swap -68 and -71
  List after swap: [-71, -68, -73, 16, 46, 53, 72]
  Compare -68 and -73
  Swap -68 and -73
  List after swap: [-71, -73, -68, 16, 46, 53, 72]
  Compare -68 and 16
  No swap needed

Pass 5:
  Compare -71 and -73
  Swap -71 and -73
  List after swap: [-73, -71, -68, 16, 46, 53, 72]
  Compare -71 and -68
  No swap needed

Pass 6:
  Compare -73 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -71, -68, 16, 46, 53, 72]
</think>

<response>-73, -71, -68, 16, 46, 53, 72</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 17, -57, 5, -5.

output:
<think>
Initial list: [17, -57, 5, -5]

Pass 1:
  Compare 17 and -57
  Swap 17 and -57
  List after swap: [-57, 17, 5, -5]
  Compare 17 and 5
  Swap 17 and 5
  List after swap: [-57, 5, 17, -5]
  Compare 17 and -5
  Swap 17 and -5
  List after swap: [-57, 5, -5, 17]

Pass 2:
  Compare -57 and 5
  No swap needed
  Compare 5 and -5
  Swap 5 and -5
  List after swap: [-57, -5, 5, 17]

Pass 3:
  Compare -57 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -5, 5, 17]
</think>

<response>-57, -5, 5, 17</response>


input: Carry out the bubble sort algorithm on 25, 63, 21, 34, -63, 45, -65 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [25, 63, 21, 34, -63, 45, -65]

Pass 1:
  Compare 25 and 63
  No swap needed
  Compare 63 and 21
  Swap 63 and 21
  List after swap: [25, 21, 63, 34, -63, 45, -65]
  Compare 63 and 34
  Swap 63 and 34
  List after swap: [25, 21, 34, 63, -63, 45, -65]
  Compare 63 and -63
  Swap 63 and -63
  List after swap: [25, 21, 34, -63, 63, 45, -65]
  Compare 63 and 45
  Swap 63 and 45
  List after swap: [25, 21, 34, -63, 45, 63, -65]
  Compare 63 and -65
  Swap 63 and -65
  List after swap: [25, 21, 34, -63, 45, -65, 63]

Pass 2:
  Compare 25 and 21
  Swap 25 and 21
  List after swap: [21, 25, 34, -63, 45, -65, 63]
  Compare 25 and 34
  No swap needed
  Compare 34 and -63
  Swap 34 and -63
  List after swap: [21, 25, -63, 34, 45, -65, 63]
  Compare 34 and 45
  No swap needed
  Compare 45 and -65
  Swap 45 and -65
  List after swap: [21, 25, -63, 34, -65, 45, 63]

Pass 3:
  Compare 21 and 25
  No swap needed
  Compare 25 and -63
  Swap 25 and -63
  List after swap: [21, -63, 25, 34, -65, 45, 63]
  Compare 25 and 34
  No swap needed
  Compare 34 and -65
  Swap 34 and -65
  List after swap: [21, -63, 25, -65, 34, 45, 63]

Pass 4:
  Compare 21 and -63
  Swap 21 and -63
  List after swap: [-63, 21, 25, -65, 34, 45, 63]
  Compare 21 and 25
  No swap needed
  Compare 25 and -65
  Swap 25 and -65
  List after swap: [-63, 21, -65, 25, 34, 45, 63]

Pass 5:
  Compare -63 and 21
  No swap needed
  Compare 21 and -65
  Swap 21 and -65
  List after swap: [-63, -65, 21, 25, 34, 45, 63]

Pass 6:
  Compare -63 and -65
  Swap -63 and -65
  List after swap: [-65, -63, 21, 25, 34, 45, 63]

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

Final sorted list: [-65, -63, 21, 25, 34, 45, 63]
</think>

<response>-65, -63, 21, 25, 34, 45, 63</response>


input: Execute bubble sort to sort -62, -99, -87, 55, 92, -95, -96 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-62, -99, -87, 55, 92, -95, -96]

Pass 1:
  Compare -62 and -99
  Swap -62 and -99
  List after swap: [-99, -62, -87, 55, 92, -95, -96]
  Compare -62 and -87
  Swap -62 and -87
  List after swap: [-99, -87, -62, 55, 92, -95, -96]
  Compare -62 and 55
  No swap needed
  Compare 55 and 92
  No swap needed
  Compare 92 and -95
  Swap 92 and -95
  List after swap: [-99, -87, -62, 55, -95, 92, -96]
  Compare 92 and -96
  Swap 92 and -96
  List after swap: [-99, -87, -62, 55, -95, -96, 92]

Pass 2:
  Compare -99 and -87
  No swap needed
  Compare -87 and -62
  No swap needed
  Compare -62 and 55
  No swap needed
  Compare 55 and -95
  Swap 55 and -95
  List after swap: [-99, -87, -62, -95, 55, -96, 92]
  Compare 55 and -96
  Swap 55 and -96
  List after swap: [-99, -87, -62, -95, -96, 55, 92]

Pass 3:
  Compare -99 and -87
  No swap needed
  Compare -87 and -62
  No swap needed
  Compare -62 and -95
  Swap -62 and -95
  List after swap: [-99, -87, -95, -62, -96, 55, 92]
  Compare -62 and -96
  Swap -62 and -96
  List after swap: [-99, -87, -95, -96, -62, 55, 92]

Pass 4:
  Compare -99 and -87
  No swap needed
  Compare -87 and -95
  Swap -87 and -95
  List after swap: [-99, -95, -87, -96, -62, 55, 92]
  Compare -87 and -96
  Swap -87 and -96
  List after swap: [-99, -95, -96, -87, -62, 55, 92]

Pass 5:
  Compare -99 and -95
  No swap needed
  Compare -95 and -96
  Swap -95 and -96
  List after swap: [-99, -96, -95, -87, -62, 55, 92]

Pass 6:
  Compare -99 and -96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -96, -95, -87, -62, 55, 92]
</think>

<response>-99, -96, -95, -87, -62, 55, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 11, 85, 56, 86, -81, 23.

output:
<think>
Initial list: [11, 85, 56, 86, -81, 23]

Pass 1:
  Compare 11 and 85
  No swap needed
  Compare 85 and 56
  Swap 85 and 56
  List after swap: [11, 56, 85, 86, -81, 23]
  Compare 85 and 86
  No swap needed
  Compare 86 and -81
  Swap 86 and -81
  List after swap: [11, 56, 85, -81, 86, 23]
  Compare 86 and 23
  Swap 86 and 23
  List after swap: [11, 56, 85, -81, 23, 86]

Pass 2:
  Compare 11 and 56
  No swap needed
  Compare 56 and 85
  No swap needed
  Compare 85 and -81
  Swap 85 and -81
  List after swap: [11, 56, -81, 85, 23, 86]
  Compare 85 and 23
  Swap 85 and 23
  List after swap: [11, 56, -81, 23, 85, 86]

Pass 3:
  Compare 11 and 56
  No swap needed
  Compare 56 and -81
  Swap 56 and -81
  List after swap: [11, -81, 56, 23, 85, 86]
  Compare 56 and 23
  Swap 56 and 23
  List after swap: [11, -81, 23, 56, 85, 86]

Pass 4:
  Compare 11 and -81
  Swap 11 and -81
  List after swap: [-81, 11, 23, 56, 85, 86]
  Compare 11 and 23
  No swap needed

Pass 5:
  Compare -81 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, 11, 23, 56, 85, 86]
</think>

<response>-81, 11, 23, 56, 85, 86</response>


input: Using the bubble sort method, sort 17, -17, 49 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [17, -17, 49]

Pass 1:
  Compare 17 and -17
  Swap 17 and -17
  List after swap: [-17, 17, 49]
  Compare 17 and 49
  No swap needed

Pass 2:
  Compare -17 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-17, 17, 49]
</think>

<response>-17, 17, 49</response>


input: Using the bubble sort method, sort -47, -25, -14, 21, -13, 29, 18, -85, -45, -81 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-47, -25, -14, 21, -13, 29, 18, -85, -45, -81]

Pass 1:
  Compare -47 and -25
  No swap needed
  Compare -25 and -14
  No swap needed
  Compare -14 and 21
  No swap needed
  Compare 21 and -13
  Swap 21 and -13
  List after swap: [-47, -25, -14, -13, 21, 29, 18, -85, -45, -81]
  Compare 21 and 29
  No swap needed
  Compare 29 and 18
  Swap 29 and 18
  List after swap: [-47, -25, -14, -13, 21, 18, 29, -85, -45, -81]
  Compare 29 and -85
  Swap 29 and -85
  List after swap: [-47, -25, -14, -13, 21, 18, -85, 29, -45, -81]
  Compare 29 and -45
  Swap 29 and -45
  List after swap: [-47, -25, -14, -13, 21, 18, -85, -45, 29, -81]
  Compare 29 and -81
  Swap 29 and -81
  List after swap: [-47, -25, -14, -13, 21, 18, -85, -45, -81, 29]

Pass 2:
  Compare -47 and -25
  No swap needed
  Compare -25 and -14
  No swap needed
  Compare -14 and -13
  No swap needed
  Compare -13 and 21
  No swap needed
  Compare 21 and 18
  Swap 21 and 18
  List after swap: [-47, -25, -14, -13, 18, 21, -85, -45, -81, 29]
  Compare 21 and -85
  Swap 21 and -85
  List after swap: [-47, -25, -14, -13, 18, -85, 21, -45, -81, 29]
  Compare 21 and -45
  Swap 21 and -45
  List after swap: [-47, -25, -14, -13, 18, -85, -45, 21, -81, 29]
  Compare 21 and -81
  Swap 21 and -81
  List after swap: [-47, -25, -14, -13, 18, -85, -45, -81, 21, 29]

Pass 3:
  Compare -47 and -25
  No swap needed
  Compare -25 and -14
  No swap needed
  Compare -14 and -13
  No swap needed
  Compare -13 and 18
  No swap needed
  Compare 18 and -85
  Swap 18 and -85
  List after swap: [-47, -25, -14, -13, -85, 18, -45, -81, 21, 29]
  Compare 18 and -45
  Swap 18 and -45
  List after swap: [-47, -25, -14, -13, -85, -45, 18, -81, 21, 29]
  Compare 18 and -81
  Swap 18 and -81
  List after swap: [-47, -25, -14, -13, -85, -45, -81, 18, 21, 29]

Pass 4:
  Compare -47 and -25
  No swap needed
  Compare -25 and -14
  No swap needed
  Compare -14 and -13
  No swap needed
  Compare -13 and -85
  Swap -13 and -85
  List after swap: [-47, -25, -14, -85, -13, -45, -81, 18, 21, 29]
  Compare -13 and -45
  Swap -13 and -45
  List after swap: [-47, -25, -14, -85, -45, -13, -81, 18, 21, 29]
  Compare -13 and -81
  Swap -13 and -81
  List after swap: [-47, -25, -14, -85, -45, -81, -13, 18, 21, 29]

Pass 5:
  Compare -47 and -25
  No swap needed
  Compare -25 and -14
  No swap needed
  Compare -14 and -85
  Swap -14 and -85
  List after swap: [-47, -25, -85, -14, -45, -81, -13, 18, 21, 29]
  Compare -14 and -45
  Swap -14 and -45
  List after swap: [-47, -25, -85, -45, -14, -81, -13, 18, 21, 29]
  Compare -14 and -81
  Swap -14 and -81
  List after swap: [-47, -25, -85, -45, -81, -14, -13, 18, 21, 29]

Pass 6:
  Compare -47 and -25
  No swap needed
  Compare -25 and -85
  Swap -25 and -85
  List after swap: [-47, -85, -25, -45, -81, -14, -13, 18, 21, 29]
  Compare -25 and -45
  Swap -25 and -45
  List after swap: [-47, -85, -45, -25, -81, -14, -13, 18, 21, 29]
  Compare -25 and -81
  Swap -25 and -81
  List after swap: [-47, -85, -45, -81, -25, -14, -13, 18, 21, 29]

Pass 7:
  Compare -47 and -85
  Swap -47 and -85
  List after swap: [-85, -47, -45, -81, -25, -14, -13, 18, 21, 29]
  Compare -47 and -45
  No swap needed
  Compare -45 and -81
  Swap -45 and -81
  List after swap: [-85, -47, -81, -45, -25, -14, -13, 18, 21, 29]

Pass 8:
  Compare -85 and -47
  No swap needed
  Compare -47 and -81
  Swap -47 and -81
  List after swap: [-85, -81, -47, -45, -25, -14, -13, 18, 21, 29]

Pass 9:
  Compare -85 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -81, -47, -45, -25, -14, -13, 18, 21, 29]
</think>

<response>-85, -81, -47, -45, -25, -14, -13, 18, 21, 29</response>


input: Implement bubble sort on 63, 60, -86, -98, -66, -46, -11, -92, 15, 28 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [63, 60, -86, -98, -66, -46, -11, -92, 15, 28]

Pass 1:
  Compare 63 and 60
  Swap 63 and 60
  List after swap: [60, 63, -86, -98, -66, -46, -11, -92, 15, 28]
  Compare 63 and -86
  Swap 63 and -86
  List after swap: [60, -86, 63, -98, -66, -46, -11, -92, 15, 28]
  Compare 63 and -98
  Swap 63 and -98
  List after swap: [60, -86, -98, 63, -66, -46, -11, -92, 15, 28]
  Compare 63 and -66
  Swap 63 and -66
  List after swap: [60, -86, -98, -66, 63, -46, -11, -92, 15, 28]
  Compare 63 and -46
  Swap 63 and -46
  List after swap: [60, -86, -98, -66, -46, 63, -11, -92, 15, 28]
  Compare 63 and -11
  Swap 63 and -11
  List after swap: [60, -86, -98, -66, -46, -11, 63, -92, 15, 28]
  Compare 63 and -92
  Swap 63 and -92
  List after swap: [60, -86, -98, -66, -46, -11, -92, 63, 15, 28]
  Compare 63 and 15
  Swap 63 and 15
  List after swap: [60, -86, -98, -66, -46, -11, -92, 15, 63, 28]
  Compare 63 and 28
  Swap 63 and 28
  List after swap: [60, -86, -98, -66, -46, -11, -92, 15, 28, 63]

Pass 2:
  Compare 60 and -86
  Swap 60 and -86
  List after swap: [-86, 60, -98, -66, -46, -11, -92, 15, 28, 63]
  Compare 60 and -98
  Swap 60 and -98
  List after swap: [-86, -98, 60, -66, -46, -11, -92, 15, 28, 63]
  Compare 60 and -66
  Swap 60 and -66
  List after swap: [-86, -98, -66, 60, -46, -11, -92, 15, 28, 63]
  Compare 60 and -46
  Swap 60 and -46
  List after swap: [-86, -98, -66, -46, 60, -11, -92, 15, 28, 63]
  Compare 60 and -11
  Swap 60 and -11
  List after swap: [-86, -98, -66, -46, -11, 60, -92, 15, 28, 63]
  Compare 60 and -92
  Swap 60 and -92
  List after swap: [-86, -98, -66, -46, -11, -92, 60, 15, 28, 63]
  Compare 60 and 15
  Swap 60 and 15
  List after swap: [-86, -98, -66, -46, -11, -92, 15, 60, 28, 63]
  Compare 60 and 28
  Swap 60 and 28
  List after swap: [-86, -98, -66, -46, -11, -92, 15, 28, 60, 63]

Pass 3:
  Compare -86 and -98
  Swap -86 and -98
  List after swap: [-98, -86, -66, -46, -11, -92, 15, 28, 60, 63]
  Compare -86 and -66
  No swap needed
  Compare -66 and -46
  No swap needed
  Compare -46 and -11
  No swap needed
  Compare -11 and -92
  Swap -11 and -92
  List after swap: [-98, -86, -66, -46, -92, -11, 15, 28, 60, 63]
  Compare -11 and 15
  No swap needed
  Compare 15 and 28
  No swap needed

Pass 4:
  Compare -98 and -86
  No swap needed
  Compare -86 and -66
  No swap needed
  Compare -66 and -46
  No swap needed
  Compare -46 and -92
  Swap -46 and -92
  List after swap: [-98, -86, -66, -92, -46, -11, 15, 28, 60, 63]
  Compare -46 and -11
  No swap needed
  Compare -11 and 15
  No swap needed

Pass 5:
  Compare -98 and -86
  No swap needed
  Compare -86 and -66
  No swap needed
  Compare -66 and -92
  Swap -66 and -92
  List after swap: [-98, -86, -92, -66, -46, -11, 15, 28, 60, 63]
  Compare -66 and -46
  No swap needed
  Compare -46 and -11
  No swap needed

Pass 6:
  Compare -98 and -86
  No swap needed
  Compare -86 and -92
  Swap -86 and -92
  List after swap: [-98, -92, -86, -66, -46, -11, 15, 28, 60, 63]
  Compare -86 and -66
  No swap needed
  Compare -66 and -46
  No swap needed

Pass 7:
  Compare -98 and -92
  No swap needed
  Compare -92 and -86
  No swap needed
  Compare -86 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -92, -86, -66, -46, -11, 15, 28, 60, 63]
</think>

<response>-98, -92, -86, -66, -46, -11, 15, 28, 60, 63</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 61, 78, -62.

output:
<think>
Initial list: [61, 78, -62]

Pass 1:
  Compare 61 and 78
  No swap needed
  Compare 78 and -62
  Swap 78 and -62
  List after swap: [61, -62, 78]

Pass 2:
  Compare 61 and -62
  Swap 61 and -62
  List after swap: [-62, 61, 78]

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

Final sorted list: [-62, 61, 78]
</think>

<response>-62, 61, 78</response>


input: Implement bubble sort on -66, 7, 54, 86, 16, -97, 15, -80, -10 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-66, 7, 54, 86, 16, -97, 15, -80, -10]

Pass 1:
  Compare -66 and 7
  No swap needed
  Compare 7 and 54
  No swap needed
  Compare 54 and 86
  No swap needed
  Compare 86 and 16
  Swap 86 and 16
  List after swap: [-66, 7, 54, 16, 86, -97, 15, -80, -10]
  Compare 86 and -97
  Swap 86 and -97
  List after swap: [-66, 7, 54, 16, -97, 86, 15, -80, -10]
  Compare 86 and 15
  Swap 86 and 15
  List after swap: [-66, 7, 54, 16, -97, 15, 86, -80, -10]
  Compare 86 and -80
  Swap 86 and -80
  List after swap: [-66, 7, 54, 16, -97, 15, -80, 86, -10]
  Compare 86 and -10
  Swap 86 and -10
  List after swap: [-66, 7, 54, 16, -97, 15, -80, -10, 86]

Pass 2:
  Compare -66 and 7
  No swap needed
  Compare 7 and 54
  No swap needed
  Compare 54 and 16
  Swap 54 and 16
  List after swap: [-66, 7, 16, 54, -97, 15, -80, -10, 86]
  Compare 54 and -97
  Swap 54 and -97
  List after swap: [-66, 7, 16, -97, 54, 15, -80, -10, 86]
  Compare 54 and 15
  Swap 54 and 15
  List after swap: [-66, 7, 16, -97, 15, 54, -80, -10, 86]
  Compare 54 and -80
  Swap 54 and -80
  List after swap: [-66, 7, 16, -97, 15, -80, 54, -10, 86]
  Compare 54 and -10
  Swap 54 and -10
  List after swap: [-66, 7, 16, -97, 15, -80, -10, 54, 86]

Pass 3:
  Compare -66 and 7
  No swap needed
  Compare 7 and 16
  No swap needed
  Compare 16 and -97
  Swap 16 and -97
  List after swap: [-66, 7, -97, 16, 15, -80, -10, 54, 86]
  Compare 16 and 15
  Swap 16 and 15
  List after swap: [-66, 7, -97, 15, 16, -80, -10, 54, 86]
  Compare 16 and -80
  Swap 16 and -80
  List after swap: [-66, 7, -97, 15, -80, 16, -10, 54, 86]
  Compare 16 and -10
  Swap 16 and -10
  List after swap: [-66, 7, -97, 15, -80, -10, 16, 54, 86]

Pass 4:
  Compare -66 and 7
  No swap needed
  Compare 7 and -97
  Swap 7 and -97
  List after swap: [-66, -97, 7, 15, -80, -10, 16, 54, 86]
  Compare 7 and 15
  No swap needed
  Compare 15 and -80
  Swap 15 and -80
  List after swap: [-66, -97, 7, -80, 15, -10, 16, 54, 86]
  Compare 15 and -10
  Swap 15 and -10
  List after swap: [-66, -97, 7, -80, -10, 15, 16, 54, 86]

Pass 5:
  Compare -66 and -97
  Swap -66 and -97
  List after swap: [-97, -66, 7, -80, -10, 15, 16, 54, 86]
  Compare -66 and 7
  No swap needed
  Compare 7 and -80
  Swap 7 and -80
  List after swap: [-97, -66, -80, 7, -10, 15, 16, 54, 86]
  Compare 7 and -10
  Swap 7 and -10
  List after swap: [-97, -66, -80, -10, 7, 15, 16, 54, 86]

Pass 6:
  Compare -97 and -66
  No swap needed
  Compare -66 and -80
  Swap -66 and -80
  List after swap: [-97, -80, -66, -10, 7, 15, 16, 54, 86]
  Compare -66 and -10
  No swap needed

Pass 7:
  Compare -97 and -80
  No swap needed
  Compare -80 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -80, -66, -10, 7, 15, 16, 54, 86]
</think>

<response>-97, -80, -66, -10, 7, 15, 16, 54, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 42, -61, -75, -22, -34, -88, 6, -36, 34, -71.

output:
<think>
Initial list: [42, -61, -75, -22, -34, -88, 6, -36, 34, -71]

Pass 1:
  Compare 42 and -61
  Swap 42 and -61
  List after swap: [-61, 42, -75, -22, -34, -88, 6, -36, 34, -71]
  Compare 42 and -75
  Swap 42 and -75
  List after swap: [-61, -75, 42, -22, -34, -88, 6, -36, 34, -71]
  Compare 42 and -22
  Swap 42 and -22
  List after swap: [-61, -75, -22, 42, -34, -88, 6, -36, 34, -71]
  Compare 42 and -34
  Swap 42 and -34
  List after swap: [-61, -75, -22, -34, 42, -88, 6, -36, 34, -71]
  Compare 42 and -88
  Swap 42 and -88
  List after swap: [-61, -75, -22, -34, -88, 42, 6, -36, 34, -71]
  Compare 42 and 6
  Swap 42 and 6
  List after swap: [-61, -75, -22, -34, -88, 6, 42, -36, 34, -71]
  Compare 42 and -36
  Swap 42 and -36
  List after swap: [-61, -75, -22, -34, -88, 6, -36, 42, 34, -71]
  Compare 42 and 34
  Swap 42 and 34
  List after swap: [-61, -75, -22, -34, -88, 6, -36, 34, 42, -71]
  Compare 42 and -71
  Swap 42 and -71
  List after swap: [-61, -75, -22, -34, -88, 6, -36, 34, -71, 42]

Pass 2:
  Compare -61 and -75
  Swap -61 and -75
  List after swap: [-75, -61, -22, -34, -88, 6, -36, 34, -71, 42]
  Compare -61 and -22
  No swap needed
  Compare -22 and -34
  Swap -22 and -34
  List after swap: [-75, -61, -34, -22, -88, 6, -36, 34, -71, 42]
  Compare -22 and -88
  Swap -22 and -88
  List after swap: [-75, -61, -34, -88, -22, 6, -36, 34, -71, 42]
  Compare -22 and 6
  No swap needed
  Compare 6 and -36
  Swap 6 and -36
  List after swap: [-75, -61, -34, -88, -22, -36, 6, 34, -71, 42]
  Compare 6 and 34
  No swap needed
  Compare 34 and -71
  Swap 34 and -71
  List after swap: [-75, -61, -34, -88, -22, -36, 6, -71, 34, 42]

Pass 3:
  Compare -75 and -61
  No swap needed
  Compare -61 and -34
  No swap needed
  Compare -34 and -88
  Swap -34 and -88
  List after swap: [-75, -61, -88, -34, -22, -36, 6, -71, 34, 42]
  Compare -34 and -22
  No swap needed
  Compare -22 and -36
  Swap -22 and -36
  List after swap: [-75, -61, -88, -34, -36, -22, 6, -71, 34, 42]
  Compare -22 and 6
  No swap needed
  Compare 6 and -71
  Swap 6 and -71
  List after swap: [-75, -61, -88, -34, -36, -22, -71, 6, 34, 42]

Pass 4:
  Compare -75 and -61
  No swap needed
  Compare -61 and -88
  Swap -61 and -88
  List after swap: [-75, -88, -61, -34, -36, -22, -71, 6, 34, 42]
  Compare -61 and -34
  No swap needed
  Compare -34 and -36
  Swap -34 and -36
  List after swap: [-75, -88, -61, -36, -34, -22, -71, 6, 34, 42]
  Compare -34 and -22
  No swap needed
  Compare -22 and -71
  Swap -22 and -71
  List after swap: [-75, -88, -61, -36, -34, -71, -22, 6, 34, 42]

Pass 5:
  Compare -75 and -88
  Swap -75 and -88
  List after swap: [-88, -75, -61, -36, -34, -71, -22, 6, 34, 42]
  Compare -75 and -61
  No swap needed
  Compare -61 and -36
  No swap needed
  Compare -36 and -34
  No swap needed
  Compare -34 and -71
  Swap -34 and -71
  List after swap: [-88, -75, -61, -36, -71, -34, -22, 6, 34, 42]

Pass 6:
  Compare -88 and -75
  No swap needed
  Compare -75 and -61
  No swap needed
  Compare -61 and -36
  No swap needed
  Compare -36 and -71
  Swap -36 and -71
  List after swap: [-88, -75, -61, -71, -36, -34, -22, 6, 34, 42]

Pass 7:
  Compare -88 and -75
  No swap needed
  Compare -75 and -61
  No swap needed
  Compare -61 and -71
  Swap -61 and -71
  List after swap: [-88, -75, -71, -61, -36, -34, -22, 6, 34, 42]

Pass 8:
  Compare -88 and -75
  No swap needed
  Compare -75 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -75, -71, -61, -36, -34, -22, 6, 34, 42]
</think>

<response>-88, -75, -71, -61, -36, -34, -22, 6, 34, 42</response>


input: Arrange the numbers 96, 18, 19, 37, -31, -34 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [96, 18, 19, 37, -31, -34]

Pass 1:
  Compare 96 and 18
  Swap 96 and 18
  List after swap: [18, 96, 19, 37, -31, -34]
  Compare 96 and 19
  Swap 96 and 19
  List after swap: [18, 19, 96, 37, -31, -34]
  Compare 96 and 37
  Swap 96 and 37
  List after swap: [18, 19, 37, 96, -31, -34]
  Compare 96 and -31
  Swap 96 and -31
  List after swap: [18, 19, 37, -31, 96, -34]
  Compare 96 and -34
  Swap 96 and -34
  List after swap: [18, 19, 37, -31, -34, 96]

Pass 2:
  Compare 18 and 19
  No swap needed
  Compare 19 and 37
  No swap needed
  Compare 37 and -31
  Swap 37 and -31
  List after swap: [18, 19, -31, 37, -34, 96]
  Compare 37 and -34
  Swap 37 and -34
  List after swap: [18, 19, -31, -34, 37, 96]

Pass 3:
  Compare 18 and 19
  No swap needed
  Compare 19 and -31
  Swap 19 and -31
  List after swap: [18, -31, 19, -34, 37, 96]
  Compare 19 and -34
  Swap 19 and -34
  List after swap: [18, -31, -34, 19, 37, 96]

Pass 4:
  Compare 18 and -31
  Swap 18 and -31
  List after swap: [-31, 18, -34, 19, 37, 96]
  Compare 18 and -34
  Swap 18 and -34
  List after swap: [-31, -34, 18, 19, 37, 96]

Pass 5:
  Compare -31 and -34
  Swap -31 and -34
  List after swap: [-34, -31, 18, 19, 37, 96]

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

Final sorted list: [-34, -31, 18, 19, 37, 96]
</think>

<response>-34, -31, 18, 19, 37, 96</response>


input: Demonstrate how bubble sort orders the integers 58, 95, 73, 11, 36, 51 in ascending sequence, showing all steps.

output:
<think>
Initial list: [58, 95, 73, 11, 36, 51]

Pass 1:
  Compare 58 and 95
  No swap needed
  Compare 95 and 73
  Swap 95 and 73
  List after swap: [58, 73, 95, 11, 36, 51]
  Compare 95 and 11
  Swap 95 and 11
  List after swap: [58, 73, 11, 95, 36, 51]
  Compare 95 and 36
  Swap 95 and 36
  List after swap: [58, 73, 11, 36, 95, 51]
  Compare 95 and 51
  Swap 95 and 51
  List after swap: [58, 73, 11, 36, 51, 95]

Pass 2:
  Compare 58 and 73
  No swap needed
  Compare 73 and 11
  Swap 73 and 11
  List after swap: [58, 11, 73, 36, 51, 95]
  Compare 73 and 36
  Swap 73 and 36
  List after swap: [58, 11, 36, 73, 51, 95]
  Compare 73 and 51
  Swap 73 and 51
  List after swap: [58, 11, 36, 51, 73, 95]

Pass 3:
  Compare 58 and 11
  Swap 58 and 11
  List after swap: [11, 58, 36, 51, 73, 95]
  Compare 58 and 36
  Swap 58 and 36
  List after swap: [11, 36, 58, 51, 73, 95]
  Compare 58 and 51
  Swap 58 and 51
  List after swap: [11, 36, 51, 58, 73, 95]

Pass 4:
  Compare 11 and 36
  No swap needed
  Compare 36 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [11, 36, 51, 58, 73, 95]
</think>

<response>11, 36, 51, 58, 73, 95</response>


input: Implement bubble sort on 65, -83, -35, 22, -65, 88, 55, -44, -86 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [65, -83, -35, 22, -65, 88, 55, -44, -86]

Pass 1:
  Compare 65 and -83
  Swap 65 and -83
  List after swap: [-83, 65, -35, 22, -65, 88, 55, -44, -86]
  Compare 65 and -35
  Swap 65 and -35
  List after swap: [-83, -35, 65, 22, -65, 88, 55, -44, -86]
  Compare 65 and 22
  Swap 65 and 22
  List after swap: [-83, -35, 22, 65, -65, 88, 55, -44, -86]
  Compare 65 and -65
  Swap 65 and -65
  List after swap: [-83, -35, 22, -65, 65, 88, 55, -44, -86]
  Compare 65 and 88
  No swap needed
  Compare 88 and 55
  Swap 88 and 55
  List after swap: [-83, -35, 22, -65, 65, 55, 88, -44, -86]
  Compare 88 and -44
  Swap 88 and -44
  List after swap: [-83, -35, 22, -65, 65, 55, -44, 88, -86]
  Compare 88 and -86
  Swap 88 and -86
  List after swap: [-83, -35, 22, -65, 65, 55, -44, -86, 88]

Pass 2:
  Compare -83 and -35
  No swap needed
  Compare -35 and 22
  No swap needed
  Compare 22 and -65
  Swap 22 and -65
  List after swap: [-83, -35, -65, 22, 65, 55, -44, -86, 88]
  Compare 22 and 65
  No swap needed
  Compare 65 and 55
  Swap 65 and 55
  List after swap: [-83, -35, -65, 22, 55, 65, -44, -86, 88]
  Compare 65 and -44
  Swap 65 and -44
  List after swap: [-83, -35, -65, 22, 55, -44, 65, -86, 88]
  Compare 65 and -86
  Swap 65 and -86
  List after swap: [-83, -35, -65, 22, 55, -44, -86, 65, 88]

Pass 3:
  Compare -83 and -35
  No swap needed
  Compare -35 and -65
  Swap -35 and -65
  List after swap: [-83, -65, -35, 22, 55, -44, -86, 65, 88]
  Compare -35 and 22
  No swap needed
  Compare 22 and 55
  No swap needed
  Compare 55 and -44
  Swap 55 and -44
  List after swap: [-83, -65, -35, 22, -44, 55, -86, 65, 88]
  Compare 55 and -86
  Swap 55 and -86
  List after swap: [-83, -65, -35, 22, -44, -86, 55, 65, 88]

Pass 4:
  Compare -83 and -65
  No swap needed
  Compare -65 and -35
  No swap needed
  Compare -35 and 22
  No swap needed
  Compare 22 and -44
  Swap 22 and -44
  List after swap: [-83, -65, -35, -44, 22, -86, 55, 65, 88]
  Compare 22 and -86
  Swap 22 and -86
  List after swap: [-83, -65, -35, -44, -86, 22, 55, 65, 88]

Pass 5:
  Compare -83 and -65
  No swap needed
  Compare -65 and -35
  No swap needed
  Compare -35 and -44
  Swap -35 and -44
  List after swap: [-83, -65, -44, -35, -86, 22, 55, 65, 88]
  Compare -35 and -86
  Swap -35 and -86
  List after swap: [-83, -65, -44, -86, -35, 22, 55, 65, 88]

Pass 6:
  Compare -83 and -65
  No swap needed
  Compare -65 and -44
  No swap needed
  Compare -44 and -86
  Swap -44 and -86
  List after swap: [-83, -65, -86, -44, -35, 22, 55, 65, 88]

Pass 7:
  Compare -83 and -65
  No swap needed
  Compare -65 and -86
  Swap -65 and -86
  List after swap: [-83, -86, -65, -44, -35, 22, 55, 65, 88]

Pass 8:
  Compare -83 and -86
  Swap -83 and -86
  List after swap: [-86, -83, -65, -44, -35, 22, 55, 65, 88]

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

Final sorted list: [-86, -83, -65, -44, -35, 22, 55, 65, 88]
</think>

<response>-86, -83, -65, -44, -35, 22, 55, 65, 88</response>


input: Perform a bubble sort on the integers 95, 94, 10, -17, 34, -59, -83, -30, -11, -81, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [95, 94, 10, -17, 34, -59, -83, -30, -11, -81]

Pass 1:
  Compare 95 and 94
  Swap 95 and 94
  List after swap: [94, 95, 10, -17, 34, -59, -83, -30, -11, -81]
  Compare 95 and 10
  Swap 95 and 10
  List after swap: [94, 10, 95, -17, 34, -59, -83, -30, -11, -81]
  Compare 95 and -17
  Swap 95 and -17
  List after swap: [94, 10, -17, 95, 34, -59, -83, -30, -11, -81]
  Compare 95 and 34
  Swap 95 and 34
  List after swap: [94, 10, -17, 34, 95, -59, -83, -30, -11, -81]
  Compare 95 and -59
  Swap 95 and -59
  List after swap: [94, 10, -17, 34, -59, 95, -83, -30, -11, -81]
  Compare 95 and -83
  Swap 95 and -83
  List after swap: [94, 10, -17, 34, -59, -83, 95, -30, -11, -81]
  Compare 95 and -30
  Swap 95 and -30
  List after swap: [94, 10, -17, 34, -59, -83, -30, 95, -11, -81]
  Compare 95 and -11
  Swap 95 and -11
  List after swap: [94, 10, -17, 34, -59, -83, -30, -11, 95, -81]
  Compare 95 and -81
  Swap 95 and -81
  List after swap: [94, 10, -17, 34, -59, -83, -30, -11, -81, 95]

Pass 2:
  Compare 94 and 10
  Swap 94 and 10
  List after swap: [10, 94, -17, 34, -59, -83, -30, -11, -81, 95]
  Compare 94 and -17
  Swap 94 and -17
  List after swap: [10, -17, 94, 34, -59, -83, -30, -11, -81, 95]
  Compare 94 and 34
  Swap 94 and 34
  List after swap: [10, -17, 34, 94, -59, -83, -30, -11, -81, 95]
  Compare 94 and -59
  Swap 94 and -59
  List after swap: [10, -17, 34, -59, 94, -83, -30, -11, -81, 95]
  Compare 94 and -83
  Swap 94 and -83
  List after swap: [10, -17, 34, -59, -83, 94, -30, -11, -81, 95]
  Compare 94 and -30
  Swap 94 and -30
  List after swap: [10, -17, 34, -59, -83, -30, 94, -11, -81, 95]
  Compare 94 and -11
  Swap 94 and -11
  List after swap: [10, -17, 34, -59, -83, -30, -11, 94, -81, 95]
  Compare 94 and -81
  Swap 94 and -81
  List after swap: [10, -17, 34, -59, -83, -30, -11, -81, 94, 95]

Pass 3:
  Compare 10 and -17
  Swap 10 and -17
  List after swap: [-17, 10, 34, -59, -83, -30, -11, -81, 94, 95]
  Compare 10 and 34
  No swap needed
  Compare 34 and -59
  Swap 34 and -59
  List after swap: [-17, 10, -59, 34, -83, -30, -11, -81, 94, 95]
  Compare 34 and -83
  Swap 34 and -83
  List after swap: [-17, 10, -59, -83, 34, -30, -11, -81, 94, 95]
  Compare 34 and -30
  Swap 34 and -30
  List after swap: [-17, 10, -59, -83, -30, 34, -11, -81, 94, 95]
  Compare 34 and -11
  Swap 34 and -11
  List after swap: [-17, 10, -59, -83, -30, -11, 34, -81, 94, 95]
  Compare 34 and -81
  Swap 34 and -81
  List after swap: [-17, 10, -59, -83, -30, -11, -81, 34, 94, 95]

Pass 4:
  Compare -17 and 10
  No swap needed
  Compare 10 and -59
  Swap 10 and -59
  List after swap: [-17, -59, 10, -83, -30, -11, -81, 34, 94, 95]
  Compare 10 and -83
  Swap 10 and -83
  List after swap: [-17, -59, -83, 10, -30, -11, -81, 34, 94, 95]
  Compare 10 and -30
  Swap 10 and -30
  List after swap: [-17, -59, -83, -30, 10, -11, -81, 34, 94, 95]
  Compare 10 and -11
  Swap 10 and -11
  List after swap: [-17, -59, -83, -30, -11, 10, -81, 34, 94, 95]
  Compare 10 and -81
  Swap 10 and -81
  List after swap: [-17, -59, -83, -30, -11, -81, 10, 34, 94, 95]

Pass 5:
  Compare -17 and -59
  Swap -17 and -59
  List after swap: [-59, -17, -83, -30, -11, -81, 10, 34, 94, 95]
  Compare -17 and -83
  Swap -17 and -83
  List after swap: [-59, -83, -17, -30, -11, -81, 10, 34, 94, 95]
  Compare -17 and -30
  Swap -17 and -30
  List after swap: [-59, -83, -30, -17, -11, -81, 10, 34, 94, 95]
  Compare -17 and -11
  No swap needed
  Compare -11 and -81
  Swap -11 and -81
  List after swap: [-59, -83, -30, -17, -81, -11, 10, 34, 94, 95]

Pass 6:
  Compare -59 and -83
  Swap -59 and -83
  List after swap: [-83, -59, -30, -17, -81, -11, 10, 34, 94, 95]
  Compare -59 and -30
  No swap needed
  Compare -30 and -17
  No swap needed
  Compare -17 and -81
  Swap -17 and -81
  List after swap: [-83, -59, -30, -81, -17, -11, 10, 34, 94, 95]

Pass 7:
  Compare -83 and -59
  No swap needed
  Compare -59 and -30
  No swap needed
  Compare -30 and -81
  Swap -30 and -81
  List after swap: [-83, -59, -81, -30, -17, -11, 10, 34, 94, 95]

Pass 8:
  Compare -83 and -59
  No swap needed
  Compare -59 and -81
  Swap -59 and -81
  List after swap: [-83, -81, -59, -30, -17, -11, 10, 34, 94, 95]

Pass 9:
  Compare -83 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -81, -59, -30, -17, -11, 10, 34, 94, 95]
</think>

<response>-83, -81, -59, -30, -17, -11, 10, 34, 94, 95</response>


input: Sort the list -37, 77 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-37, 77]

Pass 1:
  Compare -37 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, 77]
</think>

<response>-37, 77</response>


input: Perform a bubble sort on the integers -91, 71, -79, -12, -6, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-91, 71, -79, -12, -6]

Pass 1:
  Compare -91 and 71
  No swap needed
  Compare 71 and -79
  Swap 71 and -79
  List after swap: [-91, -79, 71, -12, -6]
  Compare 71 and -12
  Swap 71 and -12
  List after swap: [-91, -79, -12, 71, -6]
  Compare 71 and -6
  Swap 71 and -6
  List after swap: [-91, -79, -12, -6, 71]

Pass 2:
  Compare -91 and -79
  No swap needed
  Compare -79 and -12
  No swap needed
  Compare -12 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -79, -12, -6, 71]
</think>

<response>-91, -79, -12, -6, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -7, 80, -10, 5, 83, -30, 18, -90, -83.

output:
<think>
Initial list: [-7, 80, -10, 5, 83, -30, 18, -90, -83]

Pass 1:
  Compare -7 and 80
  No swap needed
  Compare 80 and -10
  Swap 80 and -10
  List after swap: [-7, -10, 80, 5, 83, -30, 18, -90, -83]
  Compare 80 and 5
  Swap 80 and 5
  List after swap: [-7, -10, 5, 80, 83, -30, 18, -90, -83]
  Compare 80 and 83
  No swap needed
  Compare 83 and -30
  Swap 83 and -30
  List after swap: [-7, -10, 5, 80, -30, 83, 18, -90, -83]
  Compare 83 and 18
  Swap 83 and 18
  List after swap: [-7, -10, 5, 80, -30, 18, 83, -90, -83]
  Compare 83 and -90
  Swap 83 and -90
  List after swap: [-7, -10, 5, 80, -30, 18, -90, 83, -83]
  Compare 83 and -83
  Swap 83 and -83
  List after swap: [-7, -10, 5, 80, -30, 18, -90, -83, 83]

Pass 2:
  Compare -7 and -10
  Swap -7 and -10
  List after swap: [-10, -7, 5, 80, -30, 18, -90, -83, 83]
  Compare -7 and 5
  No swap needed
  Compare 5 and 80
  No swap needed
  Compare 80 and -30
  Swap 80 and -30
  List after swap: [-10, -7, 5, -30, 80, 18, -90, -83, 83]
  Compare 80 and 18
  Swap 80 and 18
  List after swap: [-10, -7, 5, -30, 18, 80, -90, -83, 83]
  Compare 80 and -90
  Swap 80 and -90
  List after swap: [-10, -7, 5, -30, 18, -90, 80, -83, 83]
  Compare 80 and -83
  Swap 80 and -83
  List after swap: [-10, -7, 5, -30, 18, -90, -83, 80, 83]

Pass 3:
  Compare -10 and -7
  No swap needed
  Compare -7 and 5
  No swap needed
  Compare 5 and -30
  Swap 5 and -30
  List after swap: [-10, -7, -30, 5, 18, -90, -83, 80, 83]
  Compare 5 and 18
  No swap needed
  Compare 18 and -90
  Swap 18 and -90
  List after swap: [-10, -7, -30, 5, -90, 18, -83, 80, 83]
  Compare 18 and -83
  Swap 18 and -83
  List after swap: [-10, -7, -30, 5, -90, -83, 18, 80, 83]

Pass 4:
  Compare -10 and -7
  No swap needed
  Compare -7 and -30
  Swap -7 and -30
  List after swap: [-10, -30, -7, 5, -90, -83, 18, 80, 83]
  Compare -7 and 5
  No swap needed
  Compare 5 and -90
  Swap 5 and -90
  List after swap: [-10, -30, -7, -90, 5, -83, 18, 80, 83]
  Compare 5 and -83
  Swap 5 and -83
  List after swap: [-10, -30, -7, -90, -83, 5, 18, 80, 83]

Pass 5:
  Compare -10 and -30
  Swap -10 and -30
  List after swap: [-30, -10, -7, -90, -83, 5, 18, 80, 83]
  Compare -10 and -7
  No swap needed
  Compare -7 and -90
  Swap -7 and -90
  List after swap: [-30, -10, -90, -7, -83, 5, 18, 80, 83]
  Compare -7 and -83
  Swap -7 and -83
  List after swap: [-30, -10, -90, -83, -7, 5, 18, 80, 83]

Pass 6:
  Compare -30 and -10
  No swap needed
  Compare -10 and -90
  Swap -10 and -90
  List after swap: [-30, -90, -10, -83, -7, 5, 18, 80, 83]
  Compare -10 and -83
  Swap -10 and -83
  List after swap: [-30, -90, -83, -10, -7, 5, 18, 80, 83]

Pass 7:
  Compare -30 and -90
  Swap -30 and -90
  List after swap: [-90, -30, -83, -10, -7, 5, 18, 80, 83]
  Compare -30 and -83
  Swap -30 and -83
  List after swap: [-90, -83, -30, -10, -7, 5, 18, 80, 83]

Pass 8:
  Compare -90 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -83, -30, -10, -7, 5, 18, 80, 83]
</think>

<response>-90, -83, -30, -10, -7, 5, 18, 80, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -73, -83, -99, -76, -46, -26, 85, -89.

output:
<think>
Initial list: [-73, -83, -99, -76, -46, -26, 85, -89]

Pass 1:
  Compare -73 and -83
  Swap -73 and -83
  List after swap: [-83, -73, -99, -76, -46, -26, 85, -89]
  Compare -73 and -99
  Swap -73 and -99
  List after swap: [-83, -99, -73, -76, -46, -26, 85, -89]
  Compare -73 and -76
  Swap -73 and -76
  List after swap: [-83, -99, -76, -73, -46, -26, 85, -89]
  Compare -73 and -46
  No swap needed
  Compare -46 and -26
  No swap needed
  Compare -26 and 85
  No swap needed
  Compare 85 and -89
  Swap 85 and -89
  List after swap: [-83, -99, -76, -73, -46, -26, -89, 85]

Pass 2:
  Compare -83 and -99
  Swap -83 and -99
  List after swap: [-99, -83, -76, -73, -46, -26, -89, 85]
  Compare -83 and -76
  No swap needed
  Compare -76 and -73
  No swap needed
  Compare -73 and -46
  No swap needed
  Compare -46 and -26
  No swap needed
  Compare -26 and -89
  Swap -26 and -89
  List after swap: [-99, -83, -76, -73, -46, -89, -26, 85]

Pass 3:
  Compare -99 and -83
  No swap needed
  Compare -83 and -76
  No swap needed
  Compare -76 and -73
  No swap needed
  Compare -73 and -46
  No swap needed
  Compare -46 and -89
  Swap -46 and -89
  List after swap: [-99, -83, -76, -73, -89, -46, -26, 85]

Pass 4:
  Compare -99 and -83
  No swap needed
  Compare -83 and -76
  No swap needed
  Compare -76 and -73
  No swap needed
  Compare -73 and -89
  Swap -73 and -89
  List after swap: [-99, -83, -76, -89, -73, -46, -26, 85]

Pass 5:
  Compare -99 and -83
  No swap needed
  Compare -83 and -76
  No swap needed
  Compare -76 and -89
  Swap -76 and -89
  List after swap: [-99, -83, -89, -76, -73, -46, -26, 85]

Pass 6:
  Compare -99 and -83
  No swap needed
  Compare -83 and -89
  Swap -83 and -89
  List after swap: [-99, -89, -83, -76, -73, -46, -26, 85]

Pass 7:
  Compare -99 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -89, -83, -76, -73, -46, -26, 85]
</think>

<response>-99, -89, -83, -76, -73, -46, -26, 85</response>


input: Use the bubble sort technique to reorder -75, -11, 79, -36, -39, -1 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-75, -11, 79, -36, -39, -1]

Pass 1:
  Compare -75 and -11
  No swap needed
  Compare -11 and 79
  No swap needed
  Compare 79 and -36
  Swap 79 and -36
  List after swap: [-75, -11, -36, 79, -39, -1]
  Compare 79 and -39
  Swap 79 and -39
  List after swap: [-75, -11, -36, -39, 79, -1]
  Compare 79 and -1
  Swap 79 and -1
  List after swap: [-75, -11, -36, -39, -1, 79]

Pass 2:
  Compare -75 and -11
  No swap needed
  Compare -11 and -36
  Swap -11 and -36
  List after swap: [-75, -36, -11, -39, -1, 79]
  Compare -11 and -39
  Swap -11 and -39
  List after swap: [-75, -36, -39, -11, -1, 79]
  Compare -11 and -1
  No swap needed

Pass 3:
  Compare -75 and -36
  No swap needed
  Compare -36 and -39
  Swap -36 and -39
  List after swap: [-75, -39, -36, -11, -1, 79]
  Compare -36 and -11
  No swap needed

Pass 4:
  Compare -75 and -39
  No swap needed
  Compare -39 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -39, -36, -11, -1, 79]
</think>

<response>-75, -39, -36, -11, -1, 79</response>


input: Use the bubble sort technique to reorder 63, -13, -73 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [63, -13, -73]

Pass 1:
  Compare 63 and -13
  Swap 63 and -13
  List after swap: [-13, 63, -73]
  Compare 63 and -73
  Swap 63 and -73
  List after swap: [-13, -73, 63]

Pass 2:
  Compare -13 and -73
  Swap -13 and -73
  List after swap: [-73, -13, 63]

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

Final sorted list: [-73, -13, 63]
</think>

<response>-73, -13, 63</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 9, -57, -81, 66, 27, 25, 17, 11.

output:
<think>
Initial list: [9, -57, -81, 66, 27, 25, 17, 11]

Pass 1:
  Compare 9 and -57
  Swap 9 and -57
  List after swap: [-57, 9, -81, 66, 27, 25, 17, 11]
  Compare 9 and -81
  Swap 9 and -81
  List after swap: [-57, -81, 9, 66, 27, 25, 17, 11]
  Compare 9 and 66
  No swap needed
  Compare 66 and 27
  Swap 66 and 27
  List after swap: [-57, -81, 9, 27, 66, 25, 17, 11]
  Compare 66 and 25
  Swap 66 and 25
  List after swap: [-57, -81, 9, 27, 25, 66, 17, 11]
  Compare 66 and 17
  Swap 66 and 17
  List after swap: [-57, -81, 9, 27, 25, 17, 66, 11]
  Compare 66 and 11
  Swap 66 and 11
  List after swap: [-57, -81, 9, 27, 25, 17, 11, 66]

Pass 2:
  Compare -57 and -81
  Swap -57 and -81
  List after swap: [-81, -57, 9, 27, 25, 17, 11, 66]
  Compare -57 and 9
  No swap needed
  Compare 9 and 27
  No swap needed
  Compare 27 and 25
  Swap 27 and 25
  List after swap: [-81, -57, 9, 25, 27, 17, 11, 66]
  Compare 27 and 17
  Swap 27 and 17
  List after swap: [-81, -57, 9, 25, 17, 27, 11, 66]
  Compare 27 and 11
  Swap 27 and 11
  List after swap: [-81, -57, 9, 25, 17, 11, 27, 66]

Pass 3:
  Compare -81 and -57
  No swap needed
  Compare -57 and 9
  No swap needed
  Compare 9 and 25
  No swap needed
  Compare 25 and 17
  Swap 25 and 17
  List after swap: [-81, -57, 9, 17, 25, 11, 27, 66]
  Compare 25 and 11
  Swap 25 and 11
  List after swap: [-81, -57, 9, 17, 11, 25, 27, 66]

Pass 4:
  Compare -81 and -57
  No swap needed
  Compare -57 and 9
  No swap needed
  Compare 9 and 17
  No swap needed
  Compare 17 and 11
  Swap 17 and 11
  List after swap: [-81, -57, 9, 11, 17, 25, 27, 66]

Pass 5:
  Compare -81 and -57
  No swap needed
  Compare -57 and 9
  No swap needed
  Compare 9 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -57, 9, 11, 17, 25, 27, 66]
</think>

<response>-81, -57, 9, 11, 17, 25, 27, 66</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 85, -52, 50, 52, -35, 92, 22, -67.

output:
<think>
Initial list: [85, -52, 50, 52, -35, 92, 22, -67]

Pass 1:
  Compare 85 and -52
  Swap 85 and -52
  List after swap: [-52, 85, 50, 52, -35, 92, 22, -67]
  Compare 85 and 50
  Swap 85 and 50
  List after swap: [-52, 50, 85, 52, -35, 92, 22, -67]
  Compare 85 and 52
  Swap 85 and 52
  List after swap: [-52, 50, 52, 85, -35, 92, 22, -67]
  Compare 85 and -35
  Swap 85 and -35
  List after swap: [-52, 50, 52, -35, 85, 92, 22, -67]
  Compare 85 and 92
  No swap needed
  Compare 92 and 22
  Swap 92 and 22
  List after swap: [-52, 50, 52, -35, 85, 22, 92, -67]
  Compare 92 and -67
  Swap 92 and -67
  List after swap: [-52, 50, 52, -35, 85, 22, -67, 92]

Pass 2:
  Compare -52 and 50
  No swap needed
  Compare 50 and 52
  No swap needed
  Compare 52 and -35
  Swap 52 and -35
  List after swap: [-52, 50, -35, 52, 85, 22, -67, 92]
  Compare 52 and 85
  No swap needed
  Compare 85 and 22
  Swap 85 and 22
  List after swap: [-52, 50, -35, 52, 22, 85, -67, 92]
  Compare 85 and -67
  Swap 85 and -67
  List after swap: [-52, 50, -35, 52, 22, -67, 85, 92]

Pass 3:
  Compare -52 and 50
  No swap needed
  Compare 50 and -35
  Swap 50 and -35
  List after swap: [-52, -35, 50, 52, 22, -67, 85, 92]
  Compare 50 and 52
  No swap needed
  Compare 52 and 22
  Swap 52 and 22
  List after swap: [-52, -35, 50, 22, 52, -67, 85, 92]
  Compare 52 and -67
  Swap 52 and -67
  List after swap: [-52, -35, 50, 22, -67, 52, 85, 92]

Pass 4:
  Compare -52 and -35
  No swap needed
  Compare -35 and 50
  No swap needed
  Compare 50 and 22
  Swap 50 and 22
  List after swap: [-52, -35, 22, 50, -67, 52, 85, 92]
  Compare 50 and -67
  Swap 50 and -67
  List after swap: [-52, -35, 22, -67, 50, 52, 85, 92]

Pass 5:
  Compare -52 and -35
  No swap needed
  Compare -35 and 22
  No swap needed
  Compare 22 and -67
  Swap 22 and -67
  List after swap: [-52, -35, -67, 22, 50, 52, 85, 92]

Pass 6:
  Compare -52 and -35
  No swap needed
  Compare -35 and -67
  Swap -35 and -67
  List after swap: [-52, -67, -35, 22, 50, 52, 85, 92]

Pass 7:
  Compare -52 and -67
  Swap -52 and -67
  List after swap: [-67, -52, -35, 22, 50, 52, 85, 92]

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

Final sorted list: [-67, -52, -35, 22, 50, 52, 85, 92]
</think>

<response>-67, -52, -35, 22, 50, 52, 85, 92</response>


input: Implement bubble sort on 32, -78 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [32, -78]

Pass 1:
  Compare 32 and -78
  Swap 32 and -78
  List after swap: [-78, 32]

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

Final sorted list: [-78, 32]
</think>

<response>-78, 32</response>


input: Perform a bubble sort on the integers -13, 12, -95, 5, -55, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-13, 12, -95, 5, -55]

Pass 1:
  Compare -13 and 12
  No swap needed
  Compare 12 and -95
  Swap 12 and -95
  List after swap: [-13, -95, 12, 5, -55]
  Compare 12 and 5
  Swap 12 and 5
  List after swap: [-13, -95, 5, 12, -55]
  Compare 12 and -55
  Swap 12 and -55
  List after swap: [-13, -95, 5, -55, 12]

Pass 2:
  Compare -13 and -95
  Swap -13 and -95
  List after swap: [-95, -13, 5, -55, 12]
  Compare -13 and 5
  No swap needed
  Compare 5 and -55
  Swap 5 and -55
  List after swap: [-95, -13, -55, 5, 12]

Pass 3:
  Compare -95 and -13
  No swap needed
  Compare -13 and -55
  Swap -13 and -55
  List after swap: [-95, -55, -13, 5, 12]

Pass 4:
  Compare -95 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -55, -13, 5, 12]
</think>

<response>-95, -55, -13, 5, 12</response>


input: Sort these integers -75, -76, -63, 17, 38, 42 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-75, -76, -63, 17, 38, 42]

Pass 1:
  Compare -75 and -76
  Swap -75 and -76
  List after swap: [-76, -75, -63, 17, 38, 42]
  Compare -75 and -63
  No swap needed
  Compare -63 and 17
  No swap needed
  Compare 17 and 38
  No swap needed
  Compare 38 and 42
  No swap needed

Pass 2:
  Compare -76 and -75
  No swap needed
  Compare -75 and -63
  No swap needed
  Compare -63 and 17
  No swap needed
  Compare 17 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -75, -63, 17, 38, 42]
</think>

<response>-76, -75, -63, 17, 38, 42</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -43, 44, -11.

output:
<think>
Initial list: [-43, 44, -11]

Pass 1:
  Compare -43 and 44
  No swap needed
  Compare 44 and -11
  Swap 44 and -11
  List after swap: [-43, -11, 44]

Pass 2:
  Compare -43 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -11, 44]
</think>

<response>-43, -11, 44</response>


input: Demonstrate how bubble sort orders the integers -54, 89, -2 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-54, 89, -2]

Pass 1:
  Compare -54 and 89
  No swap needed
  Compare 89 and -2
  Swap 89 and -2
  List after swap: [-54, -2, 89]

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

Final sorted list: [-54, -2, 89]
</think>

<response>-54, -2, 89</response>


input: Arrange the numbers -7, -97, 66 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-7, -97, 66]

Pass 1:
  Compare -7 and -97
  Swap -7 and -97
  List after swap: [-97, -7, 66]
  Compare -7 and 66
  No swap needed

Pass 2:
  Compare -97 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -7, 66]
</think>

<response>-97, -7, 66</response>


input: Use the bubble sort technique to reorder -23, -62, 14, 6, -85, -91, 46, -99, -74 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-23, -62, 14, 6, -85, -91, 46, -99, -74]

Pass 1:
  Compare -23 and -62
  Swap -23 and -62
  List after swap: [-62, -23, 14, 6, -85, -91, 46, -99, -74]
  Compare -23 and 14
  No swap needed
  Compare 14 and 6
  Swap 14 and 6
  List after swap: [-62, -23, 6, 14, -85, -91, 46, -99, -74]
  Compare 14 and -85
  Swap 14 and -85
  List after swap: [-62, -23, 6, -85, 14, -91, 46, -99, -74]
  Compare 14 and -91
  Swap 14 and -91
  List after swap: [-62, -23, 6, -85, -91, 14, 46, -99, -74]
  Compare 14 and 46
  No swap needed
  Compare 46 and -99
  Swap 46 and -99
  List after swap: [-62, -23, 6, -85, -91, 14, -99, 46, -74]
  Compare 46 and -74
  Swap 46 and -74
  List after swap: [-62, -23, 6, -85, -91, 14, -99, -74, 46]

Pass 2:
  Compare -62 and -23
  No swap needed
  Compare -23 and 6
  No swap needed
  Compare 6 and -85
  Swap 6 and -85
  List after swap: [-62, -23, -85, 6, -91, 14, -99, -74, 46]
  Compare 6 and -91
  Swap 6 and -91
  List after swap: [-62, -23, -85, -91, 6, 14, -99, -74, 46]
  Compare 6 and 14
  No swap needed
  Compare 14 and -99
  Swap 14 and -99
  List after swap: [-62, -23, -85, -91, 6, -99, 14, -74, 46]
  Compare 14 and -74
  Swap 14 and -74
  List after swap: [-62, -23, -85, -91, 6, -99, -74, 14, 46]

Pass 3:
  Compare -62 and -23
  No swap needed
  Compare -23 and -85
  Swap -23 and -85
  List after swap: [-62, -85, -23, -91, 6, -99, -74, 14, 46]
  Compare -23 and -91
  Swap -23 and -91
  List after swap: [-62, -85, -91, -23, 6, -99, -74, 14, 46]
  Compare -23 and 6
  No swap needed
  Compare 6 and -99
  Swap 6 and -99
  List after swap: [-62, -85, -91, -23, -99, 6, -74, 14, 46]
  Compare 6 and -74
  Swap 6 and -74
  List after swap: [-62, -85, -91, -23, -99, -74, 6, 14, 46]

Pass 4:
  Compare -62 and -85
  Swap -62 and -85
  List after swap: [-85, -62, -91, -23, -99, -74, 6, 14, 46]
  Compare -62 and -91
  Swap -62 and -91
  List after swap: [-85, -91, -62, -23, -99, -74, 6, 14, 46]
  Compare -62 and -23
  No swap needed
  Compare -23 and -99
  Swap -23 and -99
  List after swap: [-85, -91, -62, -99, -23, -74, 6, 14, 46]
  Compare -23 and -74
  Swap -23 and -74
  List after swap: [-85, -91, -62, -99, -74, -23, 6, 14, 46]

Pass 5:
  Compare -85 and -91
  Swap -85 and -91
  List after swap: [-91, -85, -62, -99, -74, -23, 6, 14, 46]
  Compare -85 and -62
  No swap needed
  Compare -62 and -99
  Swap -62 and -99
  List after swap: [-91, -85, -99, -62, -74, -23, 6, 14, 46]
  Compare -62 and -74
  Swap -62 and -74
  List after swap: [-91, -85, -99, -74, -62, -23, 6, 14, 46]

Pass 6:
  Compare -91 and -85
  No swap needed
  Compare -85 and -99
  Swap -85 and -99
  List after swap: [-91, -99, -85, -74, -62, -23, 6, 14, 46]
  Compare -85 and -74
  No swap needed

Pass 7:
  Compare -91 and -99
  Swap -91 and -99
  List after swap: [-99, -91, -85, -74, -62, -23, 6, 14, 46]
  Compare -91 and -85
  No swap needed

Pass 8:
  Compare -99 and -91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -91, -85, -74, -62, -23, 6, 14, 46]
</think>

<response>-99, -91, -85, -74, -62, -23, 6, 14, 46</response>


input: Sort the list -92, -29, 40, 90 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-92, -29, 40, 90]

Pass 1:
  Compare -92 and -29
  No swap needed
  Compare -29 and 40
  No swap needed
  Compare 40 and 90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -29, 40, 90]
</think>

<response>-92, -29, 40, 90</response>


input: Demonstrate how bubble sort orders the integers -54, 19, 41, -67, 94, -31, -13, 55, -22, -86 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-54, 19, 41, -67, 94, -31, -13, 55, -22, -86]

Pass 1:
  Compare -54 and 19
  No swap needed
  Compare 19 and 41
  No swap needed
  Compare 41 and -67
  Swap 41 and -67
  List after swap: [-54, 19, -67, 41, 94, -31, -13, 55, -22, -86]
  Compare 41 and 94
  No swap needed
  Compare 94 and -31
  Swap 94 and -31
  List after swap: [-54, 19, -67, 41, -31, 94, -13, 55, -22, -86]
  Compare 94 and -13
  Swap 94 and -13
  List after swap: [-54, 19, -67, 41, -31, -13, 94, 55, -22, -86]
  Compare 94 and 55
  Swap 94 and 55
  List after swap: [-54, 19, -67, 41, -31, -13, 55, 94, -22, -86]
  Compare 94 and -22
  Swap 94 and -22
  List after swap: [-54, 19, -67, 41, -31, -13, 55, -22, 94, -86]
  Compare 94 and -86
  Swap 94 and -86
  List after swap: [-54, 19, -67, 41, -31, -13, 55, -22, -86, 94]

Pass 2:
  Compare -54 and 19
  No swap needed
  Compare 19 and -67
  Swap 19 and -67
  List after swap: [-54, -67, 19, 41, -31, -13, 55, -22, -86, 94]
  Compare 19 and 41
  No swap needed
  Compare 41 and -31
  Swap 41 and -31
  List after swap: [-54, -67, 19, -31, 41, -13, 55, -22, -86, 94]
  Compare 41 and -13
  Swap 41 and -13
  List after swap: [-54, -67, 19, -31, -13, 41, 55, -22, -86, 94]
  Compare 41 and 55
  No swap needed
  Compare 55 and -22
  Swap 55 and -22
  List after swap: [-54, -67, 19, -31, -13, 41, -22, 55, -86, 94]
  Compare 55 and -86
  Swap 55 and -86
  List after swap: [-54, -67, 19, -31, -13, 41, -22, -86, 55, 94]

Pass 3:
  Compare -54 and -67
  Swap -54 and -67
  List after swap: [-67, -54, 19, -31, -13, 41, -22, -86, 55, 94]
  Compare -54 and 19
  No swap needed
  Compare 19 and -31
  Swap 19 and -31
  List after swap: [-67, -54, -31, 19, -13, 41, -22, -86, 55, 94]
  Compare 19 and -13
  Swap 19 and -13
  List after swap: [-67, -54, -31, -13, 19, 41, -22, -86, 55, 94]
  Compare 19 and 41
  No swap needed
  Compare 41 and -22
  Swap 41 and -22
  List after swap: [-67, -54, -31, -13, 19, -22, 41, -86, 55, 94]
  Compare 41 and -86
  Swap 41 and -86
  List after swap: [-67, -54, -31, -13, 19, -22, -86, 41, 55, 94]

Pass 4:
  Compare -67 and -54
  No swap needed
  Compare -54 and -31
  No swap needed
  Compare -31 and -13
  No swap needed
  Compare -13 and 19
  No swap needed
  Compare 19 and -22
  Swap 19 and -22
  List after swap: [-67, -54, -31, -13, -22, 19, -86, 41, 55, 94]
  Compare 19 and -86
  Swap 19 and -86
  List after swap: [-67, -54, -31, -13, -22, -86, 19, 41, 55, 94]

Pass 5:
  Compare -67 and -54
  No swap needed
  Compare -54 and -31
  No swap needed
  Compare -31 and -13
  No swap needed
  Compare -13 and -22
  Swap -13 and -22
  List after swap: [-67, -54, -31, -22, -13, -86, 19, 41, 55, 94]
  Compare -13 and -86
  Swap -13 and -86
  List after swap: [-67, -54, -31, -22, -86, -13, 19, 41, 55, 94]

Pass 6:
  Compare -67 and -54
  No swap needed
  Compare -54 and -31
  No swap needed
  Compare -31 and -22
  No swap needed
  Compare -22 and -86
  Swap -22 and -86
  List after swap: [-67, -54, -31, -86, -22, -13, 19, 41, 55, 94]

Pass 7:
  Compare -67 and -54
  No swap needed
  Compare -54 and -31
  No swap needed
  Compare -31 and -86
  Swap -31 and -86
  List after swap: [-67, -54, -86, -31, -22, -13, 19, 41, 55, 94]

Pass 8:
  Compare -67 and -54
  No swap needed
  Compare -54 and -86
  Swap -54 and -86
  List after swap: [-67, -86, -54, -31, -22, -13, 19, 41, 55, 94]

Pass 9:
  Compare -67 and -86
  Swap -67 and -86
  List after swap: [-86, -67, -54, -31, -22, -13, 19, 41, 55, 94]

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

Final sorted list: [-86, -67, -54, -31, -22, -13, 19, 41, 55, 94]
</think>

<response>-86, -67, -54, -31, -22, -13, 19, 41, 55, 94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -33, -9, -46.

output:
<think>
Initial list: [-33, -9, -46]

Pass 1:
  Compare -33 and -9
  No swap needed
  Compare -9 and -46
  Swap -9 and -46
  List after swap: [-33, -46, -9]

Pass 2:
  Compare -33 and -46
  Swap -33 and -46
  List after swap: [-46, -33, -9]

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

Final sorted list: [-46, -33, -9]
</think>

<response>-46, -33, -9</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 66, -72, 1, -79, 43, 25, -13.

output:
<think>
Initial list: [66, -72, 1, -79, 43, 25, -13]

Pass 1:
  Compare 66 and -72
  Swap 66 and -72
  List after swap: [-72, 66, 1, -79, 43, 25, -13]
  Compare 66 and 1
  Swap 66 and 1
  List after swap: [-72, 1, 66, -79, 43, 25, -13]
  Compare 66 and -79
  Swap 66 and -79
  List after swap: [-72, 1, -79, 66, 43, 25, -13]
  Compare 66 and 43
  Swap 66 and 43
  List after swap: [-72, 1, -79, 43, 66, 25, -13]
  Compare 66 and 25
  Swap 66 and 25
  List after swap: [-72, 1, -79, 43, 25, 66, -13]
  Compare 66 and -13
  Swap 66 and -13
  List after swap: [-72, 1, -79, 43, 25, -13, 66]

Pass 2:
  Compare -72 and 1
  No swap needed
  Compare 1 and -79
  Swap 1 and -79
  List after swap: [-72, -79, 1, 43, 25, -13, 66]
  Compare 1 and 43
  No swap needed
  Compare 43 and 25
  Swap 43 and 25
  List after swap: [-72, -79, 1, 25, 43, -13, 66]
  Compare 43 and -13
  Swap 43 and -13
  List after swap: [-72, -79, 1, 25, -13, 43, 66]

Pass 3:
  Compare -72 and -79
  Swap -72 and -79
  List after swap: [-79, -72, 1, 25, -13, 43, 66]
  Compare -72 and 1
  No swap needed
  Compare 1 and 25
  No swap needed
  Compare 25 and -13
  Swap 25 and -13
  List after swap: [-79, -72, 1, -13, 25, 43, 66]

Pass 4:
  Compare -79 and -72
  No swap needed
  Compare -72 and 1
  No swap needed
  Compare 1 and -13
  Swap 1 and -13
  List after swap: [-79, -72, -13, 1, 25, 43, 66]

Pass 5:
  Compare -79 and -72
  No swap needed
  Compare -72 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -72, -13, 1, 25, 43, 66]
</think>

<response>-79, -72, -13, 1, 25, 43, 66</response>


input: Sort these integers 51, -90, 38, 99, 95 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [51, -90, 38, 99, 95]

Pass 1:
  Compare 51 and -90
  Swap 51 and -90
  List after swap: [-90, 51, 38, 99, 95]
  Compare 51 and 38
  Swap 51 and 38
  List after swap: [-90, 38, 51, 99, 95]
  Compare 51 and 99
  No swap needed
  Compare 99 and 95
  Swap 99 and 95
  List after swap: [-90, 38, 51, 95, 99]

Pass 2:
  Compare -90 and 38
  No swap needed
  Compare 38 and 51
  No swap needed
  Compare 51 and 95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 38, 51, 95, 99]
</think>

<response>-90, 38, 51, 95, 99</response>


input: Perform a bubble sort on the integers -100, -30, -81, -91, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-100, -30, -81, -91]

Pass 1:
  Compare -100 and -30
  No swap needed
  Compare -30 and -81
  Swap -30 and -81
  List after swap: [-100, -81, -30, -91]
  Compare -30 and -91
  Swap -30 and -91
  List after swap: [-100, -81, -91, -30]

Pass 2:
  Compare -100 and -81
  No swap needed
  Compare -81 and -91
  Swap -81 and -91
  List after swap: [-100, -91, -81, -30]

Pass 3:
  Compare -100 and -91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -91, -81, -30]
</think>

<response>-100, -91, -81, -30</response>


input: Perform a bubble sort on the integers 8, 46, -66, 82, -88, -39, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [8, 46, -66, 82, -88, -39]

Pass 1:
  Compare 8 and 46
  No swap needed
  Compare 46 and -66
  Swap 46 and -66
  List after swap: [8, -66, 46, 82, -88, -39]
  Compare 46 and 82
  No swap needed
  Compare 82 and -88
  Swap 82 and -88
  List after swap: [8, -66, 46, -88, 82, -39]
  Compare 82 and -39
  Swap 82 and -39
  List after swap: [8, -66, 46, -88, -39, 82]

Pass 2:
  Compare 8 and -66
  Swap 8 and -66
  List after swap: [-66, 8, 46, -88, -39, 82]
  Compare 8 and 46
  No swap needed
  Compare 46 and -88
  Swap 46 and -88
  List after swap: [-66, 8, -88, 46, -39, 82]
  Compare 46 and -39
  Swap 46 and -39
  List after swap: [-66, 8, -88, -39, 46, 82]

Pass 3:
  Compare -66 and 8
  No swap needed
  Compare 8 and -88
  Swap 8 and -88
  List after swap: [-66, -88, 8, -39, 46, 82]
  Compare 8 and -39
  Swap 8 and -39
  List after swap: [-66, -88, -39, 8, 46, 82]

Pass 4:
  Compare -66 and -88
  Swap -66 and -88
  List after swap: [-88, -66, -39, 8, 46, 82]
  Compare -66 and -39
  No swap needed

Pass 5:
  Compare -88 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -66, -39, 8, 46, 82]
</think>

<response>-88, -66, -39, 8, 46, 82</response>


input: Execute bubble sort to sort 34, 12, 86, 79, 16, -96 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [34, 12, 86, 79, 16, -96]

Pass 1:
  Compare 34 and 12
  Swap 34 and 12
  List after swap: [12, 34, 86, 79, 16, -96]
  Compare 34 and 86
  No swap needed
  Compare 86 and 79
  Swap 86 and 79
  List after swap: [12, 34, 79, 86, 16, -96]
  Compare 86 and 16
  Swap 86 and 16
  List after swap: [12, 34, 79, 16, 86, -96]
  Compare 86 and -96
  Swap 86 and -96
  List after swap: [12, 34, 79, 16, -96, 86]

Pass 2:
  Compare 12 and 34
  No swap needed
  Compare 34 and 79
  No swap needed
  Compare 79 and 16
  Swap 79 and 16
  List after swap: [12, 34, 16, 79, -96, 86]
  Compare 79 and -96
  Swap 79 and -96
  List after swap: [12, 34, 16, -96, 79, 86]

Pass 3:
  Compare 12 and 34
  No swap needed
  Compare 34 and 16
  Swap 34 and 16
  List after swap: [12, 16, 34, -96, 79, 86]
  Compare 34 and -96
  Swap 34 and -96
  List after swap: [12, 16, -96, 34, 79, 86]

Pass 4:
  Compare 12 and 16
  No swap needed
  Compare 16 and -96
  Swap 16 and -96
  List after swap: [12, -96, 16, 34, 79, 86]

Pass 5:
  Compare 12 and -96
  Swap 12 and -96
  List after swap: [-96, 12, 16, 34, 79, 86]

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

Final sorted list: [-96, 12, 16, 34, 79, 86]
</think>

<response>-96, 12, 16, 34, 79, 86</response>


input: Sort the list -67, -3, 97, 59 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-67, -3, 97, 59]

Pass 1:
  Compare -67 and -3
  No swap needed
  Compare -3 and 97
  No swap needed
  Compare 97 and 59
  Swap 97 and 59
  List after swap: [-67, -3, 59, 97]

Pass 2:
  Compare -67 and -3
  No swap needed
  Compare -3 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -3, 59, 97]
</think>

<response>-67, -3, 59, 97</response>


input: Implement bubble sort on -71, -2, -48, -15, -10, -69, -5, 0, -100, -70 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-71, -2, -48, -15, -10, -69, -5, 0, -100, -70]

Pass 1:
  Compare -71 and -2
  No swap needed
  Compare -2 and -48
  Swap -2 and -48
  List after swap: [-71, -48, -2, -15, -10, -69, -5, 0, -100, -70]
  Compare -2 and -15
  Swap -2 and -15
  List after swap: [-71, -48, -15, -2, -10, -69, -5, 0, -100, -70]
  Compare -2 and -10
  Swap -2 and -10
  List after swap: [-71, -48, -15, -10, -2, -69, -5, 0, -100, -70]
  Compare -2 and -69
  Swap -2 and -69
  List after swap: [-71, -48, -15, -10, -69, -2, -5, 0, -100, -70]
  Compare -2 and -5
  Swap -2 and -5
  List after swap: [-71, -48, -15, -10, -69, -5, -2, 0, -100, -70]
  Compare -2 and 0
  No swap needed
  Compare 0 and -100
  Swap 0 and -100
  List after swap: [-71, -48, -15, -10, -69, -5, -2, -100, 0, -70]
  Compare 0 and -70
  Swap 0 and -70
  List after swap: [-71, -48, -15, -10, -69, -5, -2, -100, -70, 0]

Pass 2:
  Compare -71 and -48
  No swap needed
  Compare -48 and -15
  No swap needed
  Compare -15 and -10
  No swap needed
  Compare -10 and -69
  Swap -10 and -69
  List after swap: [-71, -48, -15, -69, -10, -5, -2, -100, -70, 0]
  Compare -10 and -5
  No swap needed
  Compare -5 and -2
  No swap needed
  Compare -2 and -100
  Swap -2 and -100
  List after swap: [-71, -48, -15, -69, -10, -5, -100, -2, -70, 0]
  Compare -2 and -70
  Swap -2 and -70
  List after swap: [-71, -48, -15, -69, -10, -5, -100, -70, -2, 0]

Pass 3:
  Compare -71 and -48
  No swap needed
  Compare -48 and -15
  No swap needed
  Compare -15 and -69
  Swap -15 and -69
  List after swap: [-71, -48, -69, -15, -10, -5, -100, -70, -2, 0]
  Compare -15 and -10
  No swap needed
  Compare -10 and -5
  No swap needed
  Compare -5 and -100
  Swap -5 and -100
  List after swap: [-71, -48, -69, -15, -10, -100, -5, -70, -2, 0]
  Compare -5 and -70
  Swap -5 and -70
  List after swap: [-71, -48, -69, -15, -10, -100, -70, -5, -2, 0]

Pass 4:
  Compare -71 and -48
  No swap needed
  Compare -48 and -69
  Swap -48 and -69
  List after swap: [-71, -69, -48, -15, -10, -100, -70, -5, -2, 0]
  Compare -48 and -15
  No swap needed
  Compare -15 and -10
  No swap needed
  Compare -10 and -100
  Swap -10 and -100
  List after swap: [-71, -69, -48, -15, -100, -10, -70, -5, -2, 0]
  Compare -10 and -70
  Swap -10 and -70
  List after swap: [-71, -69, -48, -15, -100, -70, -10, -5, -2, 0]

Pass 5:
  Compare -71 and -69
  No swap needed
  Compare -69 and -48
  No swap needed
  Compare -48 and -15
  No swap needed
  Compare -15 and -100
  Swap -15 and -100
  List after swap: [-71, -69, -48, -100, -15, -70, -10, -5, -2, 0]
  Compare -15 and -70
  Swap -15 and -70
  List after swap: [-71, -69, -48, -100, -70, -15, -10, -5, -2, 0]

Pass 6:
  Compare -71 and -69
  No swap needed
  Compare -69 and -48
  No swap needed
  Compare -48 and -100
  Swap -48 and -100
  List after swap: [-71, -69, -100, -48, -70, -15, -10, -5, -2, 0]
  Compare -48 and -70
  Swap -48 and -70
  List after swap: [-71, -69, -100, -70, -48, -15, -10, -5, -2, 0]

Pass 7:
  Compare -71 and -69
  No swap needed
  Compare -69 and -100
  Swap -69 and -100
  List after swap: [-71, -100, -69, -70, -48, -15, -10, -5, -2, 0]
  Compare -69 and -70
  Swap -69 and -70
  List after swap: [-71, -100, -70, -69, -48, -15, -10, -5, -2, 0]

Pass 8:
  Compare -71 and -100
  Swap -71 and -100
  List after swap: [-100, -71, -70, -69, -48, -15, -10, -5, -2, 0]
  Compare -71 and -70
  No swap needed

Pass 9:
  Compare -100 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -71, -70, -69, -48, -15, -10, -5, -2, 0]
</think>

<response>-100, -71, -70, -69, -48, -15, -10, -5, -2, 0</response>


input: Arrange the numbers -64, 96 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-64, 96]

Pass 1:
  Compare -64 and 96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, 96]
</think>

<response>-64, 96</response>


input: Sort these integers -22, 72 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-22, 72]

Pass 1:
  Compare -22 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, 72]
</think>

<response>-22, 72</response>


input: Carry out the bubble sort algorithm on 9, -10, -86, 78, -99, -81 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [9, -10, -86, 78, -99, -81]

Pass 1:
  Compare 9 and -10
  Swap 9 and -10
  List after swap: [-10, 9, -86, 78, -99, -81]
  Compare 9 and -86
  Swap 9 and -86
  List after swap: [-10, -86, 9, 78, -99, -81]
  Compare 9 and 78
  No swap needed
  Compare 78 and -99
  Swap 78 and -99
  List after swap: [-10, -86, 9, -99, 78, -81]
  Compare 78 and -81
  Swap 78 and -81
  List after swap: [-10, -86, 9, -99, -81, 78]

Pass 2:
  Compare -10 and -86
  Swap -10 and -86
  List after swap: [-86, -10, 9, -99, -81, 78]
  Compare -10 and 9
  No swap needed
  Compare 9 and -99
  Swap 9 and -99
  List after swap: [-86, -10, -99, 9, -81, 78]
  Compare 9 and -81
  Swap 9 and -81
  List after swap: [-86, -10, -99, -81, 9, 78]

Pass 3:
  Compare -86 and -10
  No swap needed
  Compare -10 and -99
  Swap -10 and -99
  List after swap: [-86, -99, -10, -81, 9, 78]
  Compare -10 and -81
  Swap -10 and -81
  List after swap: [-86, -99, -81, -10, 9, 78]

Pass 4:
  Compare -86 and -99
  Swap -86 and -99
  List after swap: [-99, -86, -81, -10, 9, 78]
  Compare -86 and -81
  No swap needed

Pass 5:
  Compare -99 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -86, -81, -10, 9, 78]
</think>

<response>-99, -86, -81, -10, 9, 78</response>


input: Use the bubble sort technique to reorder -51, 55, -35 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-51, 55, -35]

Pass 1:
  Compare -51 and 55
  No swap needed
  Compare 55 and -35
  Swap 55 and -35
  List after swap: [-51, -35, 55]

Pass 2:
  Compare -51 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -35, 55]
</think>

<response>-51, -35, 55</response>


input: Sort these integers -76, 83, -44, -93, -18, -30, -11, 58, -26, -2 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-76, 83, -44, -93, -18, -30, -11, 58, -26, -2]

Pass 1:
  Compare -76 and 83
  No swap needed
  Compare 83 and -44
  Swap 83 and -44
  List after swap: [-76, -44, 83, -93, -18, -30, -11, 58, -26, -2]
  Compare 83 and -93
  Swap 83 and -93
  List after swap: [-76, -44, -93, 83, -18, -30, -11, 58, -26, -2]
  Compare 83 and -18
  Swap 83 and -18
  List after swap: [-76, -44, -93, -18, 83, -30, -11, 58, -26, -2]
  Compare 83 and -30
  Swap 83 and -30
  List after swap: [-76, -44, -93, -18, -30, 83, -11, 58, -26, -2]
  Compare 83 and -11
  Swap 83 and -11
  List after swap: [-76, -44, -93, -18, -30, -11, 83, 58, -26, -2]
  Compare 83 and 58
  Swap 83 and 58
  List after swap: [-76, -44, -93, -18, -30, -11, 58, 83, -26, -2]
  Compare 83 and -26
  Swap 83 and -26
  List after swap: [-76, -44, -93, -18, -30, -11, 58, -26, 83, -2]
  Compare 83 and -2
  Swap 83 and -2
  List after swap: [-76, -44, -93, -18, -30, -11, 58, -26, -2, 83]

Pass 2:
  Compare -76 and -44
  No swap needed
  Compare -44 and -93
  Swap -44 and -93
  List after swap: [-76, -93, -44, -18, -30, -11, 58, -26, -2, 83]
  Compare -44 and -18
  No swap needed
  Compare -18 and -30
  Swap -18 and -30
  List after swap: [-76, -93, -44, -30, -18, -11, 58, -26, -2, 83]
  Compare -18 and -11
  No swap needed
  Compare -11 and 58
  No swap needed
  Compare 58 and -26
  Swap 58 and -26
  List after swap: [-76, -93, -44, -30, -18, -11, -26, 58, -2, 83]
  Compare 58 and -2
  Swap 58 and -2
  List after swap: [-76, -93, -44, -30, -18, -11, -26, -2, 58, 83]

Pass 3:
  Compare -76 and -93
  Swap -76 and -93
  List after swap: [-93, -76, -44, -30, -18, -11, -26, -2, 58, 83]
  Compare -76 and -44
  No swap needed
  Compare -44 and -30
  No swap needed
  Compare -30 and -18
  No swap needed
  Compare -18 and -11
  No swap needed
  Compare -11 and -26
  Swap -11 and -26
  List after swap: [-93, -76, -44, -30, -18, -26, -11, -2, 58, 83]
  Compare -11 and -2
  No swap needed

Pass 4:
  Compare -93 and -76
  No swap needed
  Compare -76 and -44
  No swap needed
  Compare -44 and -30
  No swap needed
  Compare -30 and -18
  No swap needed
  Compare -18 and -26
  Swap -18 and -26
  List after swap: [-93, -76, -44, -30, -26, -18, -11, -2, 58, 83]
  Compare -18 and -11
  No swap needed

Pass 5:
  Compare -93 and -76
  No swap needed
  Compare -76 and -44
  No swap needed
  Compare -44 and -30
  No swap needed
  Compare -30 and -26
  No swap needed
  Compare -26 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -76, -44, -30, -26, -18, -11, -2, 58, 83]
</think>

<response>-93, -76, -44, -30, -26, -18, -11, -2, 58, 83</response>


input: Sort these integers -39, 40, -57, -65 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-39, 40, -57, -65]

Pass 1:
  Compare -39 and 40
  No swap needed
  Compare 40 and -57
  Swap 40 and -57
  List after swap: [-39, -57, 40, -65]
  Compare 40 and -65
  Swap 40 and -65
  List after swap: [-39, -57, -65, 40]

Pass 2:
  Compare -39 and -57
  Swap -39 and -57
  List after swap: [-57, -39, -65, 40]
  Compare -39 and -65
  Swap -39 and -65
  List after swap: [-57, -65, -39, 40]

Pass 3:
  Compare -57 and -65
  Swap -57 and -65
  List after swap: [-65, -57, -39, 40]

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

Final sorted list: [-65, -57, -39, 40]
</think>

<response>-65, -57, -39, 40</response>


input: Arrange the numbers 33, -19, -80 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [33, -19, -80]

Pass 1:
  Compare 33 and -19
  Swap 33 and -19
  List after swap: [-19, 33, -80]
  Compare 33 and -80
  Swap 33 and -80
  List after swap: [-19, -80, 33]

Pass 2:
  Compare -19 and -80
  Swap -19 and -80
  List after swap: [-80, -19, 33]

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

Final sorted list: [-80, -19, 33]
</think>

<response>-80, -19, 33</response>


input: Perform a bubble sort on the integers -77, -2, -9, -16, -79, 70, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-77, -2, -9, -16, -79, 70]

Pass 1:
  Compare -77 and -2
  No swap needed
  Compare -2 and -9
  Swap -2 and -9
  List after swap: [-77, -9, -2, -16, -79, 70]
  Compare -2 and -16
  Swap -2 and -16
  List after swap: [-77, -9, -16, -2, -79, 70]
  Compare -2 and -79
  Swap -2 and -79
  List after swap: [-77, -9, -16, -79, -2, 70]
  Compare -2 and 70
  No swap needed

Pass 2:
  Compare -77 and -9
  No swap needed
  Compare -9 and -16
  Swap -9 and -16
  List after swap: [-77, -16, -9, -79, -2, 70]
  Compare -9 and -79
  Swap -9 and -79
  List after swap: [-77, -16, -79, -9, -2, 70]
  Compare -9 and -2
  No swap needed

Pass 3:
  Compare -77 and -16
  No swap needed
  Compare -16 and -79
  Swap -16 and -79
  List after swap: [-77, -79, -16, -9, -2, 70]
  Compare -16 and -9
  No swap needed

Pass 4:
  Compare -77 and -79
  Swap -77 and -79
  List after swap: [-79, -77, -16, -9, -2, 70]
  Compare -77 and -16
  No swap needed

Pass 5:
  Compare -79 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -77, -16, -9, -2, 70]
</think>

<response>-79, -77, -16, -9, -2, 70</response>


input: Demonstrate how bubble sort orders the integers -35, 59, -88, 15, -98, -48, 90, 12, -29, 23 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-35, 59, -88, 15, -98, -48, 90, 12, -29, 23]

Pass 1:
  Compare -35 and 59
  No swap needed
  Compare 59 and -88
  Swap 59 and -88
  List after swap: [-35, -88, 59, 15, -98, -48, 90, 12, -29, 23]
  Compare 59 and 15
  Swap 59 and 15
  List after swap: [-35, -88, 15, 59, -98, -48, 90, 12, -29, 23]
  Compare 59 and -98
  Swap 59 and -98
  List after swap: [-35, -88, 15, -98, 59, -48, 90, 12, -29, 23]
  Compare 59 and -48
  Swap 59 and -48
  List after swap: [-35, -88, 15, -98, -48, 59, 90, 12, -29, 23]
  Compare 59 and 90
  No swap needed
  Compare 90 and 12
  Swap 90 and 12
  List after swap: [-35, -88, 15, -98, -48, 59, 12, 90, -29, 23]
  Compare 90 and -29
  Swap 90 and -29
  List after swap: [-35, -88, 15, -98, -48, 59, 12, -29, 90, 23]
  Compare 90 and 23
  Swap 90 and 23
  List after swap: [-35, -88, 15, -98, -48, 59, 12, -29, 23, 90]

Pass 2:
  Compare -35 and -88
  Swap -35 and -88
  List after swap: [-88, -35, 15, -98, -48, 59, 12, -29, 23, 90]
  Compare -35 and 15
  No swap needed
  Compare 15 and -98
  Swap 15 and -98
  List after swap: [-88, -35, -98, 15, -48, 59, 12, -29, 23, 90]
  Compare 15 and -48
  Swap 15 and -48
  List after swap: [-88, -35, -98, -48, 15, 59, 12, -29, 23, 90]
  Compare 15 and 59
  No swap needed
  Compare 59 and 12
  Swap 59 and 12
  List after swap: [-88, -35, -98, -48, 15, 12, 59, -29, 23, 90]
  Compare 59 and -29
  Swap 59 and -29
  List after swap: [-88, -35, -98, -48, 15, 12, -29, 59, 23, 90]
  Compare 59 and 23
  Swap 59 and 23
  List after swap: [-88, -35, -98, -48, 15, 12, -29, 23, 59, 90]

Pass 3:
  Compare -88 and -35
  No swap needed
  Compare -35 and -98
  Swap -35 and -98
  List after swap: [-88, -98, -35, -48, 15, 12, -29, 23, 59, 90]
  Compare -35 and -48
  Swap -35 and -48
  List after swap: [-88, -98, -48, -35, 15, 12, -29, 23, 59, 90]
  Compare -35 and 15
  No swap needed
  Compare 15 and 12
  Swap 15 and 12
  List after swap: [-88, -98, -48, -35, 12, 15, -29, 23, 59, 90]
  Compare 15 and -29
  Swap 15 and -29
  List after swap: [-88, -98, -48, -35, 12, -29, 15, 23, 59, 90]
  Compare 15 and 23
  No swap needed

Pass 4:
  Compare -88 and -98
  Swap -88 and -98
  List after swap: [-98, -88, -48, -35, 12, -29, 15, 23, 59, 90]
  Compare -88 and -48
  No swap needed
  Compare -48 and -35
  No swap needed
  Compare -35 and 12
  No swap needed
  Compare 12 and -29
  Swap 12 and -29
  List after swap: [-98, -88, -48, -35, -29, 12, 15, 23, 59, 90]
  Compare 12 and 15
  No swap needed

Pass 5:
  Compare -98 and -88
  No swap needed
  Compare -88 and -48
  No swap needed
  Compare -48 and -35
  No swap needed
  Compare -35 and -29
  No swap needed
  Compare -29 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -88, -48, -35, -29, 12, 15, 23, 59, 90]
</think>

<response>-98, -88, -48, -35, -29, 12, 15, 23, 59, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -76, 15, 61, -52.

output:
<think>
Initial list: [-76, 15, 61, -52]

Pass 1:
  Compare -76 and 15
  No swap needed
  Compare 15 and 61
  No swap needed
  Compare 61 and -52
  Swap 61 and -52
  List after swap: [-76, 15, -52, 61]

Pass 2:
  Compare -76 and 15
  No swap needed
  Compare 15 and -52
  Swap 15 and -52
  List after swap: [-76, -52, 15, 61]

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

Final sorted list: [-76, -52, 15, 61]
</think>

<response>-76, -52, 15, 61</response>


input: Using the bubble sort method, sort -43, 69, 97, -3, 71, -34, -81 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-43, 69, 97, -3, 71, -34, -81]

Pass 1:
  Compare -43 and 69
  No swap needed
  Compare 69 and 97
  No swap needed
  Compare 97 and -3
  Swap 97 and -3
  List after swap: [-43, 69, -3, 97, 71, -34, -81]
  Compare 97 and 71
  Swap 97 and 71
  List after swap: [-43, 69, -3, 71, 97, -34, -81]
  Compare 97 and -34
  Swap 97 and -34
  List after swap: [-43, 69, -3, 71, -34, 97, -81]
  Compare 97 and -81
  Swap 97 and -81
  List after swap: [-43, 69, -3, 71, -34, -81, 97]

Pass 2:
  Compare -43 and 69
  No swap needed
  Compare 69 and -3
  Swap 69 and -3
  List after swap: [-43, -3, 69, 71, -34, -81, 97]
  Compare 69 and 71
  No swap needed
  Compare 71 and -34
  Swap 71 and -34
  List after swap: [-43, -3, 69, -34, 71, -81, 97]
  Compare 71 and -81
  Swap 71 and -81
  List after swap: [-43, -3, 69, -34, -81, 71, 97]

Pass 3:
  Compare -43 and -3
  No swap needed
  Compare -3 and 69
  No swap needed
  Compare 69 and -34
  Swap 69 and -34
  List after swap: [-43, -3, -34, 69, -81, 71, 97]
  Compare 69 and -81
  Swap 69 and -81
  List after swap: [-43, -3, -34, -81, 69, 71, 97]

Pass 4:
  Compare -43 and -3
  No swap needed
  Compare -3 and -34
  Swap -3 and -34
  List after swap: [-43, -34, -3, -81, 69, 71, 97]
  Compare -3 and -81
  Swap -3 and -81
  List after swap: [-43, -34, -81, -3, 69, 71, 97]

Pass 5:
  Compare -43 and -34
  No swap needed
  Compare -34 and -81
  Swap -34 and -81
  List after swap: [-43, -81, -34, -3, 69, 71, 97]

Pass 6:
  Compare -43 and -81
  Swap -43 and -81
  List after swap: [-81, -43, -34, -3, 69, 71, 97]

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

Final sorted list: [-81, -43, -34, -3, 69, 71, 97]
</think>

<response>-81, -43, -34, -3, 69, 71, 97</response>


input: Use the bubble sort technique to reorder 77, -79, -2 into ascending order, and write down each step of the procedure.

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

Pass 1:
  Compare 77 and -79
  Swap 77 and -79
  List after swap: [-79, 77, -2]
  Compare 77 and -2
  Swap 77 and -2
  List after swap: [-79, -2, 77]

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

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

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


input: Carry out the bubble sort algorithm on 21, -2, -1, 73, -82 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [21, -2, -1, 73, -82]

Pass 1:
  Compare 21 and -2
  Swap 21 and -2
  List after swap: [-2, 21, -1, 73, -82]
  Compare 21 and -1
  Swap 21 and -1
  List after swap: [-2, -1, 21, 73, -82]
  Compare 21 and 73
  No swap needed
  Compare 73 and -82
  Swap 73 and -82
  List after swap: [-2, -1, 21, -82, 73]

Pass 2:
  Compare -2 and -1
  No swap needed
  Compare -1 and 21
  No swap needed
  Compare 21 and -82
  Swap 21 and -82
  List after swap: [-2, -1, -82, 21, 73]

Pass 3:
  Compare -2 and -1
  No swap needed
  Compare -1 and -82
  Swap -1 and -82
  List after swap: [-2, -82, -1, 21, 73]

Pass 4:
  Compare -2 and -82
  Swap -2 and -82
  List after swap: [-82, -2, -1, 21, 73]

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

Final sorted list: [-82, -2, -1, 21, 73]
</think>

<response>-82, -2, -1, 21, 73</response>