input: Execute bubble sort to sort 76, -83, 48, 25, -86, 4, -44 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [76, -83, 48, 25, -86, 4, -44]

Pass 1:
  Compare 76 and -83
  Swap 76 and -83
  List after swap: [-83, 76, 48, 25, -86, 4, -44]
  Compare 76 and 48
  Swap 76 and 48
  List after swap: [-83, 48, 76, 25, -86, 4, -44]
  Compare 76 and 25
  Swap 76 and 25
  List after swap: [-83, 48, 25, 76, -86, 4, -44]
  Compare 76 and -86
  Swap 76 and -86
  List after swap: [-83, 48, 25, -86, 76, 4, -44]
  Compare 76 and 4
  Swap 76 and 4
  List after swap: [-83, 48, 25, -86, 4, 76, -44]
  Compare 76 and -44
  Swap 76 and -44
  List after swap: [-83, 48, 25, -86, 4, -44, 76]

Pass 2:
  Compare -83 and 48
  No swap needed
  Compare 48 and 25
  Swap 48 and 25
  List after swap: [-83, 25, 48, -86, 4, -44, 76]
  Compare 48 and -86
  Swap 48 and -86
  List after swap: [-83, 25, -86, 48, 4, -44, 76]
  Compare 48 and 4
  Swap 48 and 4
  List after swap: [-83, 25, -86, 4, 48, -44, 76]
  Compare 48 and -44
  Swap 48 and -44
  List after swap: [-83, 25, -86, 4, -44, 48, 76]

Pass 3:
  Compare -83 and 25
  No swap needed
  Compare 25 and -86
  Swap 25 and -86
  List after swap: [-83, -86, 25, 4, -44, 48, 76]
  Compare 25 and 4
  Swap 25 and 4
  List after swap: [-83, -86, 4, 25, -44, 48, 76]
  Compare 25 and -44
  Swap 25 and -44
  List after swap: [-83, -86, 4, -44, 25, 48, 76]

Pass 4:
  Compare -83 and -86
  Swap -83 and -86
  List after swap: [-86, -83, 4, -44, 25, 48, 76]
  Compare -83 and 4
  No swap needed
  Compare 4 and -44
  Swap 4 and -44
  List after swap: [-86, -83, -44, 4, 25, 48, 76]

Pass 5:
  Compare -86 and -83
  No swap needed
  Compare -83 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -83, -44, 4, 25, 48, 76]
</think>

<response>-86, -83, -44, 4, 25, 48, 76</response>


input: Carry out the bubble sort algorithm on -77, 83, -91, 43, -10, -5 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-77, 83, -91, 43, -10, -5]

Pass 1:
  Compare -77 and 83
  No swap needed
  Compare 83 and -91
  Swap 83 and -91
  List after swap: [-77, -91, 83, 43, -10, -5]
  Compare 83 and 43
  Swap 83 and 43
  List after swap: [-77, -91, 43, 83, -10, -5]
  Compare 83 and -10
  Swap 83 and -10
  List after swap: [-77, -91, 43, -10, 83, -5]
  Compare 83 and -5
  Swap 83 and -5
  List after swap: [-77, -91, 43, -10, -5, 83]

Pass 2:
  Compare -77 and -91
  Swap -77 and -91
  List after swap: [-91, -77, 43, -10, -5, 83]
  Compare -77 and 43
  No swap needed
  Compare 43 and -10
  Swap 43 and -10
  List after swap: [-91, -77, -10, 43, -5, 83]
  Compare 43 and -5
  Swap 43 and -5
  List after swap: [-91, -77, -10, -5, 43, 83]

Pass 3:
  Compare -91 and -77
  No swap needed
  Compare -77 and -10
  No swap needed
  Compare -10 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -77, -10, -5, 43, 83]
</think>

<response>-91, -77, -10, -5, 43, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 7, -52, -68, -88, -30, 45, -69, 9, -31, -7.

output:
<think>
Initial list: [7, -52, -68, -88, -30, 45, -69, 9, -31, -7]

Pass 1:
  Compare 7 and -52
  Swap 7 and -52
  List after swap: [-52, 7, -68, -88, -30, 45, -69, 9, -31, -7]
  Compare 7 and -68
  Swap 7 and -68
  List after swap: [-52, -68, 7, -88, -30, 45, -69, 9, -31, -7]
  Compare 7 and -88
  Swap 7 and -88
  List after swap: [-52, -68, -88, 7, -30, 45, -69, 9, -31, -7]
  Compare 7 and -30
  Swap 7 and -30
  List after swap: [-52, -68, -88, -30, 7, 45, -69, 9, -31, -7]
  Compare 7 and 45
  No swap needed
  Compare 45 and -69
  Swap 45 and -69
  List after swap: [-52, -68, -88, -30, 7, -69, 45, 9, -31, -7]
  Compare 45 and 9
  Swap 45 and 9
  List after swap: [-52, -68, -88, -30, 7, -69, 9, 45, -31, -7]
  Compare 45 and -31
  Swap 45 and -31
  List after swap: [-52, -68, -88, -30, 7, -69, 9, -31, 45, -7]
  Compare 45 and -7
  Swap 45 and -7
  List after swap: [-52, -68, -88, -30, 7, -69, 9, -31, -7, 45]

Pass 2:
  Compare -52 and -68
  Swap -52 and -68
  List after swap: [-68, -52, -88, -30, 7, -69, 9, -31, -7, 45]
  Compare -52 and -88
  Swap -52 and -88
  List after swap: [-68, -88, -52, -30, 7, -69, 9, -31, -7, 45]
  Compare -52 and -30
  No swap needed
  Compare -30 and 7
  No swap needed
  Compare 7 and -69
  Swap 7 and -69
  List after swap: [-68, -88, -52, -30, -69, 7, 9, -31, -7, 45]
  Compare 7 and 9
  No swap needed
  Compare 9 and -31
  Swap 9 and -31
  List after swap: [-68, -88, -52, -30, -69, 7, -31, 9, -7, 45]
  Compare 9 and -7
  Swap 9 and -7
  List after swap: [-68, -88, -52, -30, -69, 7, -31, -7, 9, 45]

Pass 3:
  Compare -68 and -88
  Swap -68 and -88
  List after swap: [-88, -68, -52, -30, -69, 7, -31, -7, 9, 45]
  Compare -68 and -52
  No swap needed
  Compare -52 and -30
  No swap needed
  Compare -30 and -69
  Swap -30 and -69
  List after swap: [-88, -68, -52, -69, -30, 7, -31, -7, 9, 45]
  Compare -30 and 7
  No swap needed
  Compare 7 and -31
  Swap 7 and -31
  List after swap: [-88, -68, -52, -69, -30, -31, 7, -7, 9, 45]
  Compare 7 and -7
  Swap 7 and -7
  List after swap: [-88, -68, -52, -69, -30, -31, -7, 7, 9, 45]

Pass 4:
  Compare -88 and -68
  No swap needed
  Compare -68 and -52
  No swap needed
  Compare -52 and -69
  Swap -52 and -69
  List after swap: [-88, -68, -69, -52, -30, -31, -7, 7, 9, 45]
  Compare -52 and -30
  No swap needed
  Compare -30 and -31
  Swap -30 and -31
  List after swap: [-88, -68, -69, -52, -31, -30, -7, 7, 9, 45]
  Compare -30 and -7
  No swap needed

Pass 5:
  Compare -88 and -68
  No swap needed
  Compare -68 and -69
  Swap -68 and -69
  List after swap: [-88, -69, -68, -52, -31, -30, -7, 7, 9, 45]
  Compare -68 and -52
  No swap needed
  Compare -52 and -31
  No swap needed
  Compare -31 and -30
  No swap needed

Pass 6:
  Compare -88 and -69
  No swap needed
  Compare -69 and -68
  No swap needed
  Compare -68 and -52
  No swap needed
  Compare -52 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -69, -68, -52, -31, -30, -7, 7, 9, 45]
</think>

<response>-88, -69, -68, -52, -31, -30, -7, 7, 9, 45</response>


input: Using the bubble sort method, sort 40, 2, 30, -85, 90, -57, -34, 97, -27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [40, 2, 30, -85, 90, -57, -34, 97, -27]

Pass 1:
  Compare 40 and 2
  Swap 40 and 2
  List after swap: [2, 40, 30, -85, 90, -57, -34, 97, -27]
  Compare 40 and 30
  Swap 40 and 30
  List after swap: [2, 30, 40, -85, 90, -57, -34, 97, -27]
  Compare 40 and -85
  Swap 40 and -85
  List after swap: [2, 30, -85, 40, 90, -57, -34, 97, -27]
  Compare 40 and 90
  No swap needed
  Compare 90 and -57
  Swap 90 and -57
  List after swap: [2, 30, -85, 40, -57, 90, -34, 97, -27]
  Compare 90 and -34
  Swap 90 and -34
  List after swap: [2, 30, -85, 40, -57, -34, 90, 97, -27]
  Compare 90 and 97
  No swap needed
  Compare 97 and -27
  Swap 97 and -27
  List after swap: [2, 30, -85, 40, -57, -34, 90, -27, 97]

Pass 2:
  Compare 2 and 30
  No swap needed
  Compare 30 and -85
  Swap 30 and -85
  List after swap: [2, -85, 30, 40, -57, -34, 90, -27, 97]
  Compare 30 and 40
  No swap needed
  Compare 40 and -57
  Swap 40 and -57
  List after swap: [2, -85, 30, -57, 40, -34, 90, -27, 97]
  Compare 40 and -34
  Swap 40 and -34
  List after swap: [2, -85, 30, -57, -34, 40, 90, -27, 97]
  Compare 40 and 90
  No swap needed
  Compare 90 and -27
  Swap 90 and -27
  List after swap: [2, -85, 30, -57, -34, 40, -27, 90, 97]

Pass 3:
  Compare 2 and -85
  Swap 2 and -85
  List after swap: [-85, 2, 30, -57, -34, 40, -27, 90, 97]
  Compare 2 and 30
  No swap needed
  Compare 30 and -57
  Swap 30 and -57
  List after swap: [-85, 2, -57, 30, -34, 40, -27, 90, 97]
  Compare 30 and -34
  Swap 30 and -34
  List after swap: [-85, 2, -57, -34, 30, 40, -27, 90, 97]
  Compare 30 and 40
  No swap needed
  Compare 40 and -27
  Swap 40 and -27
  List after swap: [-85, 2, -57, -34, 30, -27, 40, 90, 97]

Pass 4:
  Compare -85 and 2
  No swap needed
  Compare 2 and -57
  Swap 2 and -57
  List after swap: [-85, -57, 2, -34, 30, -27, 40, 90, 97]
  Compare 2 and -34
  Swap 2 and -34
  List after swap: [-85, -57, -34, 2, 30, -27, 40, 90, 97]
  Compare 2 and 30
  No swap needed
  Compare 30 and -27
  Swap 30 and -27
  List after swap: [-85, -57, -34, 2, -27, 30, 40, 90, 97]

Pass 5:
  Compare -85 and -57
  No swap needed
  Compare -57 and -34
  No swap needed
  Compare -34 and 2
  No swap needed
  Compare 2 and -27
  Swap 2 and -27
  List after swap: [-85, -57, -34, -27, 2, 30, 40, 90, 97]

Pass 6:
  Compare -85 and -57
  No swap needed
  Compare -57 and -34
  No swap needed
  Compare -34 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -57, -34, -27, 2, 30, 40, 90, 97]
</think>

<response>-85, -57, -34, -27, 2, 30, 40, 90, 97</response>


input: Sort these integers -33, 95, -29, 21, -56, -38, -87, -40, -47 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-33, 95, -29, 21, -56, -38, -87, -40, -47]

Pass 1:
  Compare -33 and 95
  No swap needed
  Compare 95 and -29
  Swap 95 and -29
  List after swap: [-33, -29, 95, 21, -56, -38, -87, -40, -47]
  Compare 95 and 21
  Swap 95 and 21
  List after swap: [-33, -29, 21, 95, -56, -38, -87, -40, -47]
  Compare 95 and -56
  Swap 95 and -56
  List after swap: [-33, -29, 21, -56, 95, -38, -87, -40, -47]
  Compare 95 and -38
  Swap 95 and -38
  List after swap: [-33, -29, 21, -56, -38, 95, -87, -40, -47]
  Compare 95 and -87
  Swap 95 and -87
  List after swap: [-33, -29, 21, -56, -38, -87, 95, -40, -47]
  Compare 95 and -40
  Swap 95 and -40
  List after swap: [-33, -29, 21, -56, -38, -87, -40, 95, -47]
  Compare 95 and -47
  Swap 95 and -47
  List after swap: [-33, -29, 21, -56, -38, -87, -40, -47, 95]

Pass 2:
  Compare -33 and -29
  No swap needed
  Compare -29 and 21
  No swap needed
  Compare 21 and -56
  Swap 21 and -56
  List after swap: [-33, -29, -56, 21, -38, -87, -40, -47, 95]
  Compare 21 and -38
  Swap 21 and -38
  List after swap: [-33, -29, -56, -38, 21, -87, -40, -47, 95]
  Compare 21 and -87
  Swap 21 and -87
  List after swap: [-33, -29, -56, -38, -87, 21, -40, -47, 95]
  Compare 21 and -40
  Swap 21 and -40
  List after swap: [-33, -29, -56, -38, -87, -40, 21, -47, 95]
  Compare 21 and -47
  Swap 21 and -47
  List after swap: [-33, -29, -56, -38, -87, -40, -47, 21, 95]

Pass 3:
  Compare -33 and -29
  No swap needed
  Compare -29 and -56
  Swap -29 and -56
  List after swap: [-33, -56, -29, -38, -87, -40, -47, 21, 95]
  Compare -29 and -38
  Swap -29 and -38
  List after swap: [-33, -56, -38, -29, -87, -40, -47, 21, 95]
  Compare -29 and -87
  Swap -29 and -87
  List after swap: [-33, -56, -38, -87, -29, -40, -47, 21, 95]
  Compare -29 and -40
  Swap -29 and -40
  List after swap: [-33, -56, -38, -87, -40, -29, -47, 21, 95]
  Compare -29 and -47
  Swap -29 and -47
  List after swap: [-33, -56, -38, -87, -40, -47, -29, 21, 95]

Pass 4:
  Compare -33 and -56
  Swap -33 and -56
  List after swap: [-56, -33, -38, -87, -40, -47, -29, 21, 95]
  Compare -33 and -38
  Swap -33 and -38
  List after swap: [-56, -38, -33, -87, -40, -47, -29, 21, 95]
  Compare -33 and -87
  Swap -33 and -87
  List after swap: [-56, -38, -87, -33, -40, -47, -29, 21, 95]
  Compare -33 and -40
  Swap -33 and -40
  List after swap: [-56, -38, -87, -40, -33, -47, -29, 21, 95]
  Compare -33 and -47
  Swap -33 and -47
  List after swap: [-56, -38, -87, -40, -47, -33, -29, 21, 95]

Pass 5:
  Compare -56 and -38
  No swap needed
  Compare -38 and -87
  Swap -38 and -87
  List after swap: [-56, -87, -38, -40, -47, -33, -29, 21, 95]
  Compare -38 and -40
  Swap -38 and -40
  List after swap: [-56, -87, -40, -38, -47, -33, -29, 21, 95]
  Compare -38 and -47
  Swap -38 and -47
  List after swap: [-56, -87, -40, -47, -38, -33, -29, 21, 95]

Pass 6:
  Compare -56 and -87
  Swap -56 and -87
  List after swap: [-87, -56, -40, -47, -38, -33, -29, 21, 95]
  Compare -56 and -40
  No swap needed
  Compare -40 and -47
  Swap -40 and -47
  List after swap: [-87, -56, -47, -40, -38, -33, -29, 21, 95]

Pass 7:
  Compare -87 and -56
  No swap needed
  Compare -56 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -56, -47, -40, -38, -33, -29, 21, 95]
</think>

<response>-87, -56, -47, -40, -38, -33, -29, 21, 95</response>


input: Perform a bubble sort on the integers 59, -33, 84, -42, -16, 10, 57, 23, 16, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [59, -33, 84, -42, -16, 10, 57, 23, 16]

Pass 1:
  Compare 59 and -33
  Swap 59 and -33
  List after swap: [-33, 59, 84, -42, -16, 10, 57, 23, 16]
  Compare 59 and 84
  No swap needed
  Compare 84 and -42
  Swap 84 and -42
  List after swap: [-33, 59, -42, 84, -16, 10, 57, 23, 16]
  Compare 84 and -16
  Swap 84 and -16
  List after swap: [-33, 59, -42, -16, 84, 10, 57, 23, 16]
  Compare 84 and 10
  Swap 84 and 10
  List after swap: [-33, 59, -42, -16, 10, 84, 57, 23, 16]
  Compare 84 and 57
  Swap 84 and 57
  List after swap: [-33, 59, -42, -16, 10, 57, 84, 23, 16]
  Compare 84 and 23
  Swap 84 and 23
  List after swap: [-33, 59, -42, -16, 10, 57, 23, 84, 16]
  Compare 84 and 16
  Swap 84 and 16
  List after swap: [-33, 59, -42, -16, 10, 57, 23, 16, 84]

Pass 2:
  Compare -33 and 59
  No swap needed
  Compare 59 and -42
  Swap 59 and -42
  List after swap: [-33, -42, 59, -16, 10, 57, 23, 16, 84]
  Compare 59 and -16
  Swap 59 and -16
  List after swap: [-33, -42, -16, 59, 10, 57, 23, 16, 84]
  Compare 59 and 10
  Swap 59 and 10
  List after swap: [-33, -42, -16, 10, 59, 57, 23, 16, 84]
  Compare 59 and 57
  Swap 59 and 57
  List after swap: [-33, -42, -16, 10, 57, 59, 23, 16, 84]
  Compare 59 and 23
  Swap 59 and 23
  List after swap: [-33, -42, -16, 10, 57, 23, 59, 16, 84]
  Compare 59 and 16
  Swap 59 and 16
  List after swap: [-33, -42, -16, 10, 57, 23, 16, 59, 84]

Pass 3:
  Compare -33 and -42
  Swap -33 and -42
  List after swap: [-42, -33, -16, 10, 57, 23, 16, 59, 84]
  Compare -33 and -16
  No swap needed
  Compare -16 and 10
  No swap needed
  Compare 10 and 57
  No swap needed
  Compare 57 and 23
  Swap 57 and 23
  List after swap: [-42, -33, -16, 10, 23, 57, 16, 59, 84]
  Compare 57 and 16
  Swap 57 and 16
  List after swap: [-42, -33, -16, 10, 23, 16, 57, 59, 84]

Pass 4:
  Compare -42 and -33
  No swap needed
  Compare -33 and -16
  No swap needed
  Compare -16 and 10
  No swap needed
  Compare 10 and 23
  No swap needed
  Compare 23 and 16
  Swap 23 and 16
  List after swap: [-42, -33, -16, 10, 16, 23, 57, 59, 84]

Pass 5:
  Compare -42 and -33
  No swap needed
  Compare -33 and -16
  No swap needed
  Compare -16 and 10
  No swap needed
  Compare 10 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -33, -16, 10, 16, 23, 57, 59, 84]
</think>

<response>-42, -33, -16, 10, 16, 23, 57, 59, 84</response>


input: Demonstrate how bubble sort orders the integers -14, -81, -27, -86 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-14, -81, -27, -86]

Pass 1:
  Compare -14 and -81
  Swap -14 and -81
  List after swap: [-81, -14, -27, -86]
  Compare -14 and -27
  Swap -14 and -27
  List after swap: [-81, -27, -14, -86]
  Compare -14 and -86
  Swap -14 and -86
  List after swap: [-81, -27, -86, -14]

Pass 2:
  Compare -81 and -27
  No swap needed
  Compare -27 and -86
  Swap -27 and -86
  List after swap: [-81, -86, -27, -14]

Pass 3:
  Compare -81 and -86
  Swap -81 and -86
  List after swap: [-86, -81, -27, -14]

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

Final sorted list: [-86, -81, -27, -14]
</think>

<response>-86, -81, -27, -14</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 75, -12, -9, 12, 47, 96, -77, -79, 99, -17.

output:
<think>
Initial list: [75, -12, -9, 12, 47, 96, -77, -79, 99, -17]

Pass 1:
  Compare 75 and -12
  Swap 75 and -12
  List after swap: [-12, 75, -9, 12, 47, 96, -77, -79, 99, -17]
  Compare 75 and -9
  Swap 75 and -9
  List after swap: [-12, -9, 75, 12, 47, 96, -77, -79, 99, -17]
  Compare 75 and 12
  Swap 75 and 12
  List after swap: [-12, -9, 12, 75, 47, 96, -77, -79, 99, -17]
  Compare 75 and 47
  Swap 75 and 47
  List after swap: [-12, -9, 12, 47, 75, 96, -77, -79, 99, -17]
  Compare 75 and 96
  No swap needed
  Compare 96 and -77
  Swap 96 and -77
  List after swap: [-12, -9, 12, 47, 75, -77, 96, -79, 99, -17]
  Compare 96 and -79
  Swap 96 and -79
  List after swap: [-12, -9, 12, 47, 75, -77, -79, 96, 99, -17]
  Compare 96 and 99
  No swap needed
  Compare 99 and -17
  Swap 99 and -17
  List after swap: [-12, -9, 12, 47, 75, -77, -79, 96, -17, 99]

Pass 2:
  Compare -12 and -9
  No swap needed
  Compare -9 and 12
  No swap needed
  Compare 12 and 47
  No swap needed
  Compare 47 and 75
  No swap needed
  Compare 75 and -77
  Swap 75 and -77
  List after swap: [-12, -9, 12, 47, -77, 75, -79, 96, -17, 99]
  Compare 75 and -79
  Swap 75 and -79
  List after swap: [-12, -9, 12, 47, -77, -79, 75, 96, -17, 99]
  Compare 75 and 96
  No swap needed
  Compare 96 and -17
  Swap 96 and -17
  List after swap: [-12, -9, 12, 47, -77, -79, 75, -17, 96, 99]

Pass 3:
  Compare -12 and -9
  No swap needed
  Compare -9 and 12
  No swap needed
  Compare 12 and 47
  No swap needed
  Compare 47 and -77
  Swap 47 and -77
  List after swap: [-12, -9, 12, -77, 47, -79, 75, -17, 96, 99]
  Compare 47 and -79
  Swap 47 and -79
  List after swap: [-12, -9, 12, -77, -79, 47, 75, -17, 96, 99]
  Compare 47 and 75
  No swap needed
  Compare 75 and -17
  Swap 75 and -17
  List after swap: [-12, -9, 12, -77, -79, 47, -17, 75, 96, 99]

Pass 4:
  Compare -12 and -9
  No swap needed
  Compare -9 and 12
  No swap needed
  Compare 12 and -77
  Swap 12 and -77
  List after swap: [-12, -9, -77, 12, -79, 47, -17, 75, 96, 99]
  Compare 12 and -79
  Swap 12 and -79
  List after swap: [-12, -9, -77, -79, 12, 47, -17, 75, 96, 99]
  Compare 12 and 47
  No swap needed
  Compare 47 and -17
  Swap 47 and -17
  List after swap: [-12, -9, -77, -79, 12, -17, 47, 75, 96, 99]

Pass 5:
  Compare -12 and -9
  No swap needed
  Compare -9 and -77
  Swap -9 and -77
  List after swap: [-12, -77, -9, -79, 12, -17, 47, 75, 96, 99]
  Compare -9 and -79
  Swap -9 and -79
  List after swap: [-12, -77, -79, -9, 12, -17, 47, 75, 96, 99]
  Compare -9 and 12
  No swap needed
  Compare 12 and -17
  Swap 12 and -17
  List after swap: [-12, -77, -79, -9, -17, 12, 47, 75, 96, 99]

Pass 6:
  Compare -12 and -77
  Swap -12 and -77
  List after swap: [-77, -12, -79, -9, -17, 12, 47, 75, 96, 99]
  Compare -12 and -79
  Swap -12 and -79
  List after swap: [-77, -79, -12, -9, -17, 12, 47, 75, 96, 99]
  Compare -12 and -9
  No swap needed
  Compare -9 and -17
  Swap -9 and -17
  List after swap: [-77, -79, -12, -17, -9, 12, 47, 75, 96, 99]

Pass 7:
  Compare -77 and -79
  Swap -77 and -79
  List after swap: [-79, -77, -12, -17, -9, 12, 47, 75, 96, 99]
  Compare -77 and -12
  No swap needed
  Compare -12 and -17
  Swap -12 and -17
  List after swap: [-79, -77, -17, -12, -9, 12, 47, 75, 96, 99]

Pass 8:
  Compare -79 and -77
  No swap needed
  Compare -77 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -77, -17, -12, -9, 12, 47, 75, 96, 99]
</think>

<response>-79, -77, -17, -12, -9, 12, 47, 75, 96, 99</response>


input: Demonstrate how bubble sort orders the integers 80, 17, 0, 68, 99, 52, 44, 37 in ascending sequence, showing all steps.

output:
<think>
Initial list: [80, 17, 0, 68, 99, 52, 44, 37]

Pass 1:
  Compare 80 and 17
  Swap 80 and 17
  List after swap: [17, 80, 0, 68, 99, 52, 44, 37]
  Compare 80 and 0
  Swap 80 and 0
  List after swap: [17, 0, 80, 68, 99, 52, 44, 37]
  Compare 80 and 68
  Swap 80 and 68
  List after swap: [17, 0, 68, 80, 99, 52, 44, 37]
  Compare 80 and 99
  No swap needed
  Compare 99 and 52
  Swap 99 and 52
  List after swap: [17, 0, 68, 80, 52, 99, 44, 37]
  Compare 99 and 44
  Swap 99 and 44
  List after swap: [17, 0, 68, 80, 52, 44, 99, 37]
  Compare 99 and 37
  Swap 99 and 37
  List after swap: [17, 0, 68, 80, 52, 44, 37, 99]

Pass 2:
  Compare 17 and 0
  Swap 17 and 0
  List after swap: [0, 17, 68, 80, 52, 44, 37, 99]
  Compare 17 and 68
  No swap needed
  Compare 68 and 80
  No swap needed
  Compare 80 and 52
  Swap 80 and 52
  List after swap: [0, 17, 68, 52, 80, 44, 37, 99]
  Compare 80 and 44
  Swap 80 and 44
  List after swap: [0, 17, 68, 52, 44, 80, 37, 99]
  Compare 80 and 37
  Swap 80 and 37
  List after swap: [0, 17, 68, 52, 44, 37, 80, 99]

Pass 3:
  Compare 0 and 17
  No swap needed
  Compare 17 and 68
  No swap needed
  Compare 68 and 52
  Swap 68 and 52
  List after swap: [0, 17, 52, 68, 44, 37, 80, 99]
  Compare 68 and 44
  Swap 68 and 44
  List after swap: [0, 17, 52, 44, 68, 37, 80, 99]
  Compare 68 and 37
  Swap 68 and 37
  List after swap: [0, 17, 52, 44, 37, 68, 80, 99]

Pass 4:
  Compare 0 and 17
  No swap needed
  Compare 17 and 52
  No swap needed
  Compare 52 and 44
  Swap 52 and 44
  List after swap: [0, 17, 44, 52, 37, 68, 80, 99]
  Compare 52 and 37
  Swap 52 and 37
  List after swap: [0, 17, 44, 37, 52, 68, 80, 99]

Pass 5:
  Compare 0 and 17
  No swap needed
  Compare 17 and 44
  No swap needed
  Compare 44 and 37
  Swap 44 and 37
  List after swap: [0, 17, 37, 44, 52, 68, 80, 99]

Pass 6:
  Compare 0 and 17
  No swap needed
  Compare 17 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [0, 17, 37, 44, 52, 68, 80, 99]
</think>

<response>0, 17, 37, 44, 52, 68, 80, 99</response>


input: Perform a bubble sort on the integers 33, -47, -7, -45, -17, 59, 57, 93, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [33, -47, -7, -45, -17, 59, 57, 93]

Pass 1:
  Compare 33 and -47
  Swap 33 and -47
  List after swap: [-47, 33, -7, -45, -17, 59, 57, 93]
  Compare 33 and -7
  Swap 33 and -7
  List after swap: [-47, -7, 33, -45, -17, 59, 57, 93]
  Compare 33 and -45
  Swap 33 and -45
  List after swap: [-47, -7, -45, 33, -17, 59, 57, 93]
  Compare 33 and -17
  Swap 33 and -17
  List after swap: [-47, -7, -45, -17, 33, 59, 57, 93]
  Compare 33 and 59
  No swap needed
  Compare 59 and 57
  Swap 59 and 57
  List after swap: [-47, -7, -45, -17, 33, 57, 59, 93]
  Compare 59 and 93
  No swap needed

Pass 2:
  Compare -47 and -7
  No swap needed
  Compare -7 and -45
  Swap -7 and -45
  List after swap: [-47, -45, -7, -17, 33, 57, 59, 93]
  Compare -7 and -17
  Swap -7 and -17
  List after swap: [-47, -45, -17, -7, 33, 57, 59, 93]
  Compare -7 and 33
  No swap needed
  Compare 33 and 57
  No swap needed
  Compare 57 and 59
  No swap needed

Pass 3:
  Compare -47 and -45
  No swap needed
  Compare -45 and -17
  No swap needed
  Compare -17 and -7
  No swap needed
  Compare -7 and 33
  No swap needed
  Compare 33 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -45, -17, -7, 33, 57, 59, 93]
</think>

<response>-47, -45, -17, -7, 33, 57, 59, 93</response>


input: Perform a bubble sort on the integers -17, -19, -68, 16, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-17, -19, -68, 16]

Pass 1:
  Compare -17 and -19
  Swap -17 and -19
  List after swap: [-19, -17, -68, 16]
  Compare -17 and -68
  Swap -17 and -68
  List after swap: [-19, -68, -17, 16]
  Compare -17 and 16
  No swap needed

Pass 2:
  Compare -19 and -68
  Swap -19 and -68
  List after swap: [-68, -19, -17, 16]
  Compare -19 and -17
  No swap needed

Pass 3:
  Compare -68 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -19, -17, 16]
</think>

<response>-68, -19, -17, 16</response>


input: Sort the list 42, -55, -80, 46, -92, -39, 78, 75, -14, 18 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [42, -55, -80, 46, -92, -39, 78, 75, -14, 18]

Pass 1:
  Compare 42 and -55
  Swap 42 and -55
  List after swap: [-55, 42, -80, 46, -92, -39, 78, 75, -14, 18]
  Compare 42 and -80
  Swap 42 and -80
  List after swap: [-55, -80, 42, 46, -92, -39, 78, 75, -14, 18]
  Compare 42 and 46
  No swap needed
  Compare 46 and -92
  Swap 46 and -92
  List after swap: [-55, -80, 42, -92, 46, -39, 78, 75, -14, 18]
  Compare 46 and -39
  Swap 46 and -39
  List after swap: [-55, -80, 42, -92, -39, 46, 78, 75, -14, 18]
  Compare 46 and 78
  No swap needed
  Compare 78 and 75
  Swap 78 and 75
  List after swap: [-55, -80, 42, -92, -39, 46, 75, 78, -14, 18]
  Compare 78 and -14
  Swap 78 and -14
  List after swap: [-55, -80, 42, -92, -39, 46, 75, -14, 78, 18]
  Compare 78 and 18
  Swap 78 and 18
  List after swap: [-55, -80, 42, -92, -39, 46, 75, -14, 18, 78]

Pass 2:
  Compare -55 and -80
  Swap -55 and -80
  List after swap: [-80, -55, 42, -92, -39, 46, 75, -14, 18, 78]
  Compare -55 and 42
  No swap needed
  Compare 42 and -92
  Swap 42 and -92
  List after swap: [-80, -55, -92, 42, -39, 46, 75, -14, 18, 78]
  Compare 42 and -39
  Swap 42 and -39
  List after swap: [-80, -55, -92, -39, 42, 46, 75, -14, 18, 78]
  Compare 42 and 46
  No swap needed
  Compare 46 and 75
  No swap needed
  Compare 75 and -14
  Swap 75 and -14
  List after swap: [-80, -55, -92, -39, 42, 46, -14, 75, 18, 78]
  Compare 75 and 18
  Swap 75 and 18
  List after swap: [-80, -55, -92, -39, 42, 46, -14, 18, 75, 78]

Pass 3:
  Compare -80 and -55
  No swap needed
  Compare -55 and -92
  Swap -55 and -92
  List after swap: [-80, -92, -55, -39, 42, 46, -14, 18, 75, 78]
  Compare -55 and -39
  No swap needed
  Compare -39 and 42
  No swap needed
  Compare 42 and 46
  No swap needed
  Compare 46 and -14
  Swap 46 and -14
  List after swap: [-80, -92, -55, -39, 42, -14, 46, 18, 75, 78]
  Compare 46 and 18
  Swap 46 and 18
  List after swap: [-80, -92, -55, -39, 42, -14, 18, 46, 75, 78]

Pass 4:
  Compare -80 and -92
  Swap -80 and -92
  List after swap: [-92, -80, -55, -39, 42, -14, 18, 46, 75, 78]
  Compare -80 and -55
  No swap needed
  Compare -55 and -39
  No swap needed
  Compare -39 and 42
  No swap needed
  Compare 42 and -14
  Swap 42 and -14
  List after swap: [-92, -80, -55, -39, -14, 42, 18, 46, 75, 78]
  Compare 42 and 18
  Swap 42 and 18
  List after swap: [-92, -80, -55, -39, -14, 18, 42, 46, 75, 78]

Pass 5:
  Compare -92 and -80
  No swap needed
  Compare -80 and -55
  No swap needed
  Compare -55 and -39
  No swap needed
  Compare -39 and -14
  No swap needed
  Compare -14 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -80, -55, -39, -14, 18, 42, 46, 75, 78]
</think>

<response>-92, -80, -55, -39, -14, 18, 42, 46, 75, 78</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 44, -39, 20, -100, 0, 32.

output:
<think>
Initial list: [44, -39, 20, -100, 0, 32]

Pass 1:
  Compare 44 and -39
  Swap 44 and -39
  List after swap: [-39, 44, 20, -100, 0, 32]
  Compare 44 and 20
  Swap 44 and 20
  List after swap: [-39, 20, 44, -100, 0, 32]
  Compare 44 and -100
  Swap 44 and -100
  List after swap: [-39, 20, -100, 44, 0, 32]
  Compare 44 and 0
  Swap 44 and 0
  List after swap: [-39, 20, -100, 0, 44, 32]
  Compare 44 and 32
  Swap 44 and 32
  List after swap: [-39, 20, -100, 0, 32, 44]

Pass 2:
  Compare -39 and 20
  No swap needed
  Compare 20 and -100
  Swap 20 and -100
  List after swap: [-39, -100, 20, 0, 32, 44]
  Compare 20 and 0
  Swap 20 and 0
  List after swap: [-39, -100, 0, 20, 32, 44]
  Compare 20 and 32
  No swap needed

Pass 3:
  Compare -39 and -100
  Swap -39 and -100
  List after swap: [-100, -39, 0, 20, 32, 44]
  Compare -39 and 0
  No swap needed
  Compare 0 and 20
  No swap needed

Pass 4:
  Compare -100 and -39
  No swap needed
  Compare -39 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -39, 0, 20, 32, 44]
</think>

<response>-100, -39, 0, 20, 32, 44</response>


input: Sort these integers -49, 11 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-49, 11]

Pass 1:
  Compare -49 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, 11]
</think>

<response>-49, 11</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -42, -27, 95, 65, 78, -36, 1, -51, -41, 18.

output:
<think>
Initial list: [-42, -27, 95, 65, 78, -36, 1, -51, -41, 18]

Pass 1:
  Compare -42 and -27
  No swap needed
  Compare -27 and 95
  No swap needed
  Compare 95 and 65
  Swap 95 and 65
  List after swap: [-42, -27, 65, 95, 78, -36, 1, -51, -41, 18]
  Compare 95 and 78
  Swap 95 and 78
  List after swap: [-42, -27, 65, 78, 95, -36, 1, -51, -41, 18]
  Compare 95 and -36
  Swap 95 and -36
  List after swap: [-42, -27, 65, 78, -36, 95, 1, -51, -41, 18]
  Compare 95 and 1
  Swap 95 and 1
  List after swap: [-42, -27, 65, 78, -36, 1, 95, -51, -41, 18]
  Compare 95 and -51
  Swap 95 and -51
  List after swap: [-42, -27, 65, 78, -36, 1, -51, 95, -41, 18]
  Compare 95 and -41
  Swap 95 and -41
  List after swap: [-42, -27, 65, 78, -36, 1, -51, -41, 95, 18]
  Compare 95 and 18
  Swap 95 and 18
  List after swap: [-42, -27, 65, 78, -36, 1, -51, -41, 18, 95]

Pass 2:
  Compare -42 and -27
  No swap needed
  Compare -27 and 65
  No swap needed
  Compare 65 and 78
  No swap needed
  Compare 78 and -36
  Swap 78 and -36
  List after swap: [-42, -27, 65, -36, 78, 1, -51, -41, 18, 95]
  Compare 78 and 1
  Swap 78 and 1
  List after swap: [-42, -27, 65, -36, 1, 78, -51, -41, 18, 95]
  Compare 78 and -51
  Swap 78 and -51
  List after swap: [-42, -27, 65, -36, 1, -51, 78, -41, 18, 95]
  Compare 78 and -41
  Swap 78 and -41
  List after swap: [-42, -27, 65, -36, 1, -51, -41, 78, 18, 95]
  Compare 78 and 18
  Swap 78 and 18
  List after swap: [-42, -27, 65, -36, 1, -51, -41, 18, 78, 95]

Pass 3:
  Compare -42 and -27
  No swap needed
  Compare -27 and 65
  No swap needed
  Compare 65 and -36
  Swap 65 and -36
  List after swap: [-42, -27, -36, 65, 1, -51, -41, 18, 78, 95]
  Compare 65 and 1
  Swap 65 and 1
  List after swap: [-42, -27, -36, 1, 65, -51, -41, 18, 78, 95]
  Compare 65 and -51
  Swap 65 and -51
  List after swap: [-42, -27, -36, 1, -51, 65, -41, 18, 78, 95]
  Compare 65 and -41
  Swap 65 and -41
  List after swap: [-42, -27, -36, 1, -51, -41, 65, 18, 78, 95]
  Compare 65 and 18
  Swap 65 and 18
  List after swap: [-42, -27, -36, 1, -51, -41, 18, 65, 78, 95]

Pass 4:
  Compare -42 and -27
  No swap needed
  Compare -27 and -36
  Swap -27 and -36
  List after swap: [-42, -36, -27, 1, -51, -41, 18, 65, 78, 95]
  Compare -27 and 1
  No swap needed
  Compare 1 and -51
  Swap 1 and -51
  List after swap: [-42, -36, -27, -51, 1, -41, 18, 65, 78, 95]
  Compare 1 and -41
  Swap 1 and -41
  List after swap: [-42, -36, -27, -51, -41, 1, 18, 65, 78, 95]
  Compare 1 and 18
  No swap needed

Pass 5:
  Compare -42 and -36
  No swap needed
  Compare -36 and -27
  No swap needed
  Compare -27 and -51
  Swap -27 and -51
  List after swap: [-42, -36, -51, -27, -41, 1, 18, 65, 78, 95]
  Compare -27 and -41
  Swap -27 and -41
  List after swap: [-42, -36, -51, -41, -27, 1, 18, 65, 78, 95]
  Compare -27 and 1
  No swap needed

Pass 6:
  Compare -42 and -36
  No swap needed
  Compare -36 and -51
  Swap -36 and -51
  List after swap: [-42, -51, -36, -41, -27, 1, 18, 65, 78, 95]
  Compare -36 and -41
  Swap -36 and -41
  List after swap: [-42, -51, -41, -36, -27, 1, 18, 65, 78, 95]
  Compare -36 and -27
  No swap needed

Pass 7:
  Compare -42 and -51
  Swap -42 and -51
  List after swap: [-51, -42, -41, -36, -27, 1, 18, 65, 78, 95]
  Compare -42 and -41
  No swap needed
  Compare -41 and -36
  No swap needed

Pass 8:
  Compare -51 and -42
  No swap needed
  Compare -42 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -42, -41, -36, -27, 1, 18, 65, 78, 95]
</think>

<response>-51, -42, -41, -36, -27, 1, 18, 65, 78, 95</response>


input: Use the bubble sort technique to reorder -90, 74, -32, 68, 44, 64, -9, 87 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-90, 74, -32, 68, 44, 64, -9, 87]

Pass 1:
  Compare -90 and 74
  No swap needed
  Compare 74 and -32
  Swap 74 and -32
  List after swap: [-90, -32, 74, 68, 44, 64, -9, 87]
  Compare 74 and 68
  Swap 74 and 68
  List after swap: [-90, -32, 68, 74, 44, 64, -9, 87]
  Compare 74 and 44
  Swap 74 and 44
  List after swap: [-90, -32, 68, 44, 74, 64, -9, 87]
  Compare 74 and 64
  Swap 74 and 64
  List after swap: [-90, -32, 68, 44, 64, 74, -9, 87]
  Compare 74 and -9
  Swap 74 and -9
  List after swap: [-90, -32, 68, 44, 64, -9, 74, 87]
  Compare 74 and 87
  No swap needed

Pass 2:
  Compare -90 and -32
  No swap needed
  Compare -32 and 68
  No swap needed
  Compare 68 and 44
  Swap 68 and 44
  List after swap: [-90, -32, 44, 68, 64, -9, 74, 87]
  Compare 68 and 64
  Swap 68 and 64
  List after swap: [-90, -32, 44, 64, 68, -9, 74, 87]
  Compare 68 and -9
  Swap 68 and -9
  List after swap: [-90, -32, 44, 64, -9, 68, 74, 87]
  Compare 68 and 74
  No swap needed

Pass 3:
  Compare -90 and -32
  No swap needed
  Compare -32 and 44
  No swap needed
  Compare 44 and 64
  No swap needed
  Compare 64 and -9
  Swap 64 and -9
  List after swap: [-90, -32, 44, -9, 64, 68, 74, 87]
  Compare 64 and 68
  No swap needed

Pass 4:
  Compare -90 and -32
  No swap needed
  Compare -32 and 44
  No swap needed
  Compare 44 and -9
  Swap 44 and -9
  List after swap: [-90, -32, -9, 44, 64, 68, 74, 87]
  Compare 44 and 64
  No swap needed

Pass 5:
  Compare -90 and -32
  No swap needed
  Compare -32 and -9
  No swap needed
  Compare -9 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -32, -9, 44, 64, 68, 74, 87]
</think>

<response>-90, -32, -9, 44, 64, 68, 74, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 40, -60, 75, 27, -6, -19, 54, -63, -59, -69.

output:
<think>
Initial list: [40, -60, 75, 27, -6, -19, 54, -63, -59, -69]

Pass 1:
  Compare 40 and -60
  Swap 40 and -60
  List after swap: [-60, 40, 75, 27, -6, -19, 54, -63, -59, -69]
  Compare 40 and 75
  No swap needed
  Compare 75 and 27
  Swap 75 and 27
  List after swap: [-60, 40, 27, 75, -6, -19, 54, -63, -59, -69]
  Compare 75 and -6
  Swap 75 and -6
  List after swap: [-60, 40, 27, -6, 75, -19, 54, -63, -59, -69]
  Compare 75 and -19
  Swap 75 and -19
  List after swap: [-60, 40, 27, -6, -19, 75, 54, -63, -59, -69]
  Compare 75 and 54
  Swap 75 and 54
  List after swap: [-60, 40, 27, -6, -19, 54, 75, -63, -59, -69]
  Compare 75 and -63
  Swap 75 and -63
  List after swap: [-60, 40, 27, -6, -19, 54, -63, 75, -59, -69]
  Compare 75 and -59
  Swap 75 and -59
  List after swap: [-60, 40, 27, -6, -19, 54, -63, -59, 75, -69]
  Compare 75 and -69
  Swap 75 and -69
  List after swap: [-60, 40, 27, -6, -19, 54, -63, -59, -69, 75]

Pass 2:
  Compare -60 and 40
  No swap needed
  Compare 40 and 27
  Swap 40 and 27
  List after swap: [-60, 27, 40, -6, -19, 54, -63, -59, -69, 75]
  Compare 40 and -6
  Swap 40 and -6
  List after swap: [-60, 27, -6, 40, -19, 54, -63, -59, -69, 75]
  Compare 40 and -19
  Swap 40 and -19
  List after swap: [-60, 27, -6, -19, 40, 54, -63, -59, -69, 75]
  Compare 40 and 54
  No swap needed
  Compare 54 and -63
  Swap 54 and -63
  List after swap: [-60, 27, -6, -19, 40, -63, 54, -59, -69, 75]
  Compare 54 and -59
  Swap 54 and -59
  List after swap: [-60, 27, -6, -19, 40, -63, -59, 54, -69, 75]
  Compare 54 and -69
  Swap 54 and -69
  List after swap: [-60, 27, -6, -19, 40, -63, -59, -69, 54, 75]

Pass 3:
  Compare -60 and 27
  No swap needed
  Compare 27 and -6
  Swap 27 and -6
  List after swap: [-60, -6, 27, -19, 40, -63, -59, -69, 54, 75]
  Compare 27 and -19
  Swap 27 and -19
  List after swap: [-60, -6, -19, 27, 40, -63, -59, -69, 54, 75]
  Compare 27 and 40
  No swap needed
  Compare 40 and -63
  Swap 40 and -63
  List after swap: [-60, -6, -19, 27, -63, 40, -59, -69, 54, 75]
  Compare 40 and -59
  Swap 40 and -59
  List after swap: [-60, -6, -19, 27, -63, -59, 40, -69, 54, 75]
  Compare 40 and -69
  Swap 40 and -69
  List after swap: [-60, -6, -19, 27, -63, -59, -69, 40, 54, 75]

Pass 4:
  Compare -60 and -6
  No swap needed
  Compare -6 and -19
  Swap -6 and -19
  List after swap: [-60, -19, -6, 27, -63, -59, -69, 40, 54, 75]
  Compare -6 and 27
  No swap needed
  Compare 27 and -63
  Swap 27 and -63
  List after swap: [-60, -19, -6, -63, 27, -59, -69, 40, 54, 75]
  Compare 27 and -59
  Swap 27 and -59
  List after swap: [-60, -19, -6, -63, -59, 27, -69, 40, 54, 75]
  Compare 27 and -69
  Swap 27 and -69
  List after swap: [-60, -19, -6, -63, -59, -69, 27, 40, 54, 75]

Pass 5:
  Compare -60 and -19
  No swap needed
  Compare -19 and -6
  No swap needed
  Compare -6 and -63
  Swap -6 and -63
  List after swap: [-60, -19, -63, -6, -59, -69, 27, 40, 54, 75]
  Compare -6 and -59
  Swap -6 and -59
  List after swap: [-60, -19, -63, -59, -6, -69, 27, 40, 54, 75]
  Compare -6 and -69
  Swap -6 and -69
  List after swap: [-60, -19, -63, -59, -69, -6, 27, 40, 54, 75]

Pass 6:
  Compare -60 and -19
  No swap needed
  Compare -19 and -63
  Swap -19 and -63
  List after swap: [-60, -63, -19, -59, -69, -6, 27, 40, 54, 75]
  Compare -19 and -59
  Swap -19 and -59
  List after swap: [-60, -63, -59, -19, -69, -6, 27, 40, 54, 75]
  Compare -19 and -69
  Swap -19 and -69
  List after swap: [-60, -63, -59, -69, -19, -6, 27, 40, 54, 75]

Pass 7:
  Compare -60 and -63
  Swap -60 and -63
  List after swap: [-63, -60, -59, -69, -19, -6, 27, 40, 54, 75]
  Compare -60 and -59
  No swap needed
  Compare -59 and -69
  Swap -59 and -69
  List after swap: [-63, -60, -69, -59, -19, -6, 27, 40, 54, 75]

Pass 8:
  Compare -63 and -60
  No swap needed
  Compare -60 and -69
  Swap -60 and -69
  List after swap: [-63, -69, -60, -59, -19, -6, 27, 40, 54, 75]

Pass 9:
  Compare -63 and -69
  Swap -63 and -69
  List after swap: [-69, -63, -60, -59, -19, -6, 27, 40, 54, 75]

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

Final sorted list: [-69, -63, -60, -59, -19, -6, 27, 40, 54, 75]
</think>

<response>-69, -63, -60, -59, -19, -6, 27, 40, 54, 75</response>


input: Use the bubble sort technique to reorder -19, -6, -76, 33, 24, 16, 73, 68 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-19, -6, -76, 33, 24, 16, 73, 68]

Pass 1:
  Compare -19 and -6
  No swap needed
  Compare -6 and -76
  Swap -6 and -76
  List after swap: [-19, -76, -6, 33, 24, 16, 73, 68]
  Compare -6 and 33
  No swap needed
  Compare 33 and 24
  Swap 33 and 24
  List after swap: [-19, -76, -6, 24, 33, 16, 73, 68]
  Compare 33 and 16
  Swap 33 and 16
  List after swap: [-19, -76, -6, 24, 16, 33, 73, 68]
  Compare 33 and 73
  No swap needed
  Compare 73 and 68
  Swap 73 and 68
  List after swap: [-19, -76, -6, 24, 16, 33, 68, 73]

Pass 2:
  Compare -19 and -76
  Swap -19 and -76
  List after swap: [-76, -19, -6, 24, 16, 33, 68, 73]
  Compare -19 and -6
  No swap needed
  Compare -6 and 24
  No swap needed
  Compare 24 and 16
  Swap 24 and 16
  List after swap: [-76, -19, -6, 16, 24, 33, 68, 73]
  Compare 24 and 33
  No swap needed
  Compare 33 and 68
  No swap needed

Pass 3:
  Compare -76 and -19
  No swap needed
  Compare -19 and -6
  No swap needed
  Compare -6 and 16
  No swap needed
  Compare 16 and 24
  No swap needed
  Compare 24 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -19, -6, 16, 24, 33, 68, 73]
</think>

<response>-76, -19, -6, 16, 24, 33, 68, 73</response>


input: Arrange the numbers 90, 8, -22 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [90, 8, -22]

Pass 1:
  Compare 90 and 8
  Swap 90 and 8
  List after swap: [8, 90, -22]
  Compare 90 and -22
  Swap 90 and -22
  List after swap: [8, -22, 90]

Pass 2:
  Compare 8 and -22
  Swap 8 and -22
  List after swap: [-22, 8, 90]

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

Final sorted list: [-22, 8, 90]
</think>

<response>-22, 8, 90</response>


input: Execute bubble sort to sort 44, -94, -51, 60, 36, -59 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [44, -94, -51, 60, 36, -59]

Pass 1:
  Compare 44 and -94
  Swap 44 and -94
  List after swap: [-94, 44, -51, 60, 36, -59]
  Compare 44 and -51
  Swap 44 and -51
  List after swap: [-94, -51, 44, 60, 36, -59]
  Compare 44 and 60
  No swap needed
  Compare 60 and 36
  Swap 60 and 36
  List after swap: [-94, -51, 44, 36, 60, -59]
  Compare 60 and -59
  Swap 60 and -59
  List after swap: [-94, -51, 44, 36, -59, 60]

Pass 2:
  Compare -94 and -51
  No swap needed
  Compare -51 and 44
  No swap needed
  Compare 44 and 36
  Swap 44 and 36
  List after swap: [-94, -51, 36, 44, -59, 60]
  Compare 44 and -59
  Swap 44 and -59
  List after swap: [-94, -51, 36, -59, 44, 60]

Pass 3:
  Compare -94 and -51
  No swap needed
  Compare -51 and 36
  No swap needed
  Compare 36 and -59
  Swap 36 and -59
  List after swap: [-94, -51, -59, 36, 44, 60]

Pass 4:
  Compare -94 and -51
  No swap needed
  Compare -51 and -59
  Swap -51 and -59
  List after swap: [-94, -59, -51, 36, 44, 60]

Pass 5:
  Compare -94 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -59, -51, 36, 44, 60]
</think>

<response>-94, -59, -51, 36, 44, 60</response>


input: Carry out the bubble sort algorithm on -76, -50, -72, -23, 94, -83, 26, -71, 79 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-76, -50, -72, -23, 94, -83, 26, -71, 79]

Pass 1:
  Compare -76 and -50
  No swap needed
  Compare -50 and -72
  Swap -50 and -72
  List after swap: [-76, -72, -50, -23, 94, -83, 26, -71, 79]
  Compare -50 and -23
  No swap needed
  Compare -23 and 94
  No swap needed
  Compare 94 and -83
  Swap 94 and -83
  List after swap: [-76, -72, -50, -23, -83, 94, 26, -71, 79]
  Compare 94 and 26
  Swap 94 and 26
  List after swap: [-76, -72, -50, -23, -83, 26, 94, -71, 79]
  Compare 94 and -71
  Swap 94 and -71
  List after swap: [-76, -72, -50, -23, -83, 26, -71, 94, 79]
  Compare 94 and 79
  Swap 94 and 79
  List after swap: [-76, -72, -50, -23, -83, 26, -71, 79, 94]

Pass 2:
  Compare -76 and -72
  No swap needed
  Compare -72 and -50
  No swap needed
  Compare -50 and -23
  No swap needed
  Compare -23 and -83
  Swap -23 and -83
  List after swap: [-76, -72, -50, -83, -23, 26, -71, 79, 94]
  Compare -23 and 26
  No swap needed
  Compare 26 and -71
  Swap 26 and -71
  List after swap: [-76, -72, -50, -83, -23, -71, 26, 79, 94]
  Compare 26 and 79
  No swap needed

Pass 3:
  Compare -76 and -72
  No swap needed
  Compare -72 and -50
  No swap needed
  Compare -50 and -83
  Swap -50 and -83
  List after swap: [-76, -72, -83, -50, -23, -71, 26, 79, 94]
  Compare -50 and -23
  No swap needed
  Compare -23 and -71
  Swap -23 and -71
  List after swap: [-76, -72, -83, -50, -71, -23, 26, 79, 94]
  Compare -23 and 26
  No swap needed

Pass 4:
  Compare -76 and -72
  No swap needed
  Compare -72 and -83
  Swap -72 and -83
  List after swap: [-76, -83, -72, -50, -71, -23, 26, 79, 94]
  Compare -72 and -50
  No swap needed
  Compare -50 and -71
  Swap -50 and -71
  List after swap: [-76, -83, -72, -71, -50, -23, 26, 79, 94]
  Compare -50 and -23
  No swap needed

Pass 5:
  Compare -76 and -83
  Swap -76 and -83
  List after swap: [-83, -76, -72, -71, -50, -23, 26, 79, 94]
  Compare -76 and -72
  No swap needed
  Compare -72 and -71
  No swap needed
  Compare -71 and -50
  No swap needed

Pass 6:
  Compare -83 and -76
  No swap needed
  Compare -76 and -72
  No swap needed
  Compare -72 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -76, -72, -71, -50, -23, 26, 79, 94]
</think>

<response>-83, -76, -72, -71, -50, -23, 26, 79, 94</response>


input: Using the bubble sort method, sort 96, 65, -45, 67, -20, -66, -98 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [96, 65, -45, 67, -20, -66, -98]

Pass 1:
  Compare 96 and 65
  Swap 96 and 65
  List after swap: [65, 96, -45, 67, -20, -66, -98]
  Compare 96 and -45
  Swap 96 and -45
  List after swap: [65, -45, 96, 67, -20, -66, -98]
  Compare 96 and 67
  Swap 96 and 67
  List after swap: [65, -45, 67, 96, -20, -66, -98]
  Compare 96 and -20
  Swap 96 and -20
  List after swap: [65, -45, 67, -20, 96, -66, -98]
  Compare 96 and -66
  Swap 96 and -66
  List after swap: [65, -45, 67, -20, -66, 96, -98]
  Compare 96 and -98
  Swap 96 and -98
  List after swap: [65, -45, 67, -20, -66, -98, 96]

Pass 2:
  Compare 65 and -45
  Swap 65 and -45
  List after swap: [-45, 65, 67, -20, -66, -98, 96]
  Compare 65 and 67
  No swap needed
  Compare 67 and -20
  Swap 67 and -20
  List after swap: [-45, 65, -20, 67, -66, -98, 96]
  Compare 67 and -66
  Swap 67 and -66
  List after swap: [-45, 65, -20, -66, 67, -98, 96]
  Compare 67 and -98
  Swap 67 and -98
  List after swap: [-45, 65, -20, -66, -98, 67, 96]

Pass 3:
  Compare -45 and 65
  No swap needed
  Compare 65 and -20
  Swap 65 and -20
  List after swap: [-45, -20, 65, -66, -98, 67, 96]
  Compare 65 and -66
  Swap 65 and -66
  List after swap: [-45, -20, -66, 65, -98, 67, 96]
  Compare 65 and -98
  Swap 65 and -98
  List after swap: [-45, -20, -66, -98, 65, 67, 96]

Pass 4:
  Compare -45 and -20
  No swap needed
  Compare -20 and -66
  Swap -20 and -66
  List after swap: [-45, -66, -20, -98, 65, 67, 96]
  Compare -20 and -98
  Swap -20 and -98
  List after swap: [-45, -66, -98, -20, 65, 67, 96]

Pass 5:
  Compare -45 and -66
  Swap -45 and -66
  List after swap: [-66, -45, -98, -20, 65, 67, 96]
  Compare -45 and -98
  Swap -45 and -98
  List after swap: [-66, -98, -45, -20, 65, 67, 96]

Pass 6:
  Compare -66 and -98
  Swap -66 and -98
  List after swap: [-98, -66, -45, -20, 65, 67, 96]

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

Final sorted list: [-98, -66, -45, -20, 65, 67, 96]
</think>

<response>-98, -66, -45, -20, 65, 67, 96</response>


input: Implement bubble sort on -26, 54, 50, -41, -32, -86, 75, 31, 27 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-26, 54, 50, -41, -32, -86, 75, 31, 27]

Pass 1:
  Compare -26 and 54
  No swap needed
  Compare 54 and 50
  Swap 54 and 50
  List after swap: [-26, 50, 54, -41, -32, -86, 75, 31, 27]
  Compare 54 and -41
  Swap 54 and -41
  List after swap: [-26, 50, -41, 54, -32, -86, 75, 31, 27]
  Compare 54 and -32
  Swap 54 and -32
  List after swap: [-26, 50, -41, -32, 54, -86, 75, 31, 27]
  Compare 54 and -86
  Swap 54 and -86
  List after swap: [-26, 50, -41, -32, -86, 54, 75, 31, 27]
  Compare 54 and 75
  No swap needed
  Compare 75 and 31
  Swap 75 and 31
  List after swap: [-26, 50, -41, -32, -86, 54, 31, 75, 27]
  Compare 75 and 27
  Swap 75 and 27
  List after swap: [-26, 50, -41, -32, -86, 54, 31, 27, 75]

Pass 2:
  Compare -26 and 50
  No swap needed
  Compare 50 and -41
  Swap 50 and -41
  List after swap: [-26, -41, 50, -32, -86, 54, 31, 27, 75]
  Compare 50 and -32
  Swap 50 and -32
  List after swap: [-26, -41, -32, 50, -86, 54, 31, 27, 75]
  Compare 50 and -86
  Swap 50 and -86
  List after swap: [-26, -41, -32, -86, 50, 54, 31, 27, 75]
  Compare 50 and 54
  No swap needed
  Compare 54 and 31
  Swap 54 and 31
  List after swap: [-26, -41, -32, -86, 50, 31, 54, 27, 75]
  Compare 54 and 27
  Swap 54 and 27
  List after swap: [-26, -41, -32, -86, 50, 31, 27, 54, 75]

Pass 3:
  Compare -26 and -41
  Swap -26 and -41
  List after swap: [-41, -26, -32, -86, 50, 31, 27, 54, 75]
  Compare -26 and -32
  Swap -26 and -32
  List after swap: [-41, -32, -26, -86, 50, 31, 27, 54, 75]
  Compare -26 and -86
  Swap -26 and -86
  List after swap: [-41, -32, -86, -26, 50, 31, 27, 54, 75]
  Compare -26 and 50
  No swap needed
  Compare 50 and 31
  Swap 50 and 31
  List after swap: [-41, -32, -86, -26, 31, 50, 27, 54, 75]
  Compare 50 and 27
  Swap 50 and 27
  List after swap: [-41, -32, -86, -26, 31, 27, 50, 54, 75]

Pass 4:
  Compare -41 and -32
  No swap needed
  Compare -32 and -86
  Swap -32 and -86
  List after swap: [-41, -86, -32, -26, 31, 27, 50, 54, 75]
  Compare -32 and -26
  No swap needed
  Compare -26 and 31
  No swap needed
  Compare 31 and 27
  Swap 31 and 27
  List after swap: [-41, -86, -32, -26, 27, 31, 50, 54, 75]

Pass 5:
  Compare -41 and -86
  Swap -41 and -86
  List after swap: [-86, -41, -32, -26, 27, 31, 50, 54, 75]
  Compare -41 and -32
  No swap needed
  Compare -32 and -26
  No swap needed
  Compare -26 and 27
  No swap needed

Pass 6:
  Compare -86 and -41
  No swap needed
  Compare -41 and -32
  No swap needed
  Compare -32 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -41, -32, -26, 27, 31, 50, 54, 75]
</think>

<response>-86, -41, -32, -26, 27, 31, 50, 54, 75</response>


input: Use the bubble sort technique to reorder -61, 72, 15, -28, -26, 4, 48, 65 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-61, 72, 15, -28, -26, 4, 48, 65]

Pass 1:
  Compare -61 and 72
  No swap needed
  Compare 72 and 15
  Swap 72 and 15
  List after swap: [-61, 15, 72, -28, -26, 4, 48, 65]
  Compare 72 and -28
  Swap 72 and -28
  List after swap: [-61, 15, -28, 72, -26, 4, 48, 65]
  Compare 72 and -26
  Swap 72 and -26
  List after swap: [-61, 15, -28, -26, 72, 4, 48, 65]
  Compare 72 and 4
  Swap 72 and 4
  List after swap: [-61, 15, -28, -26, 4, 72, 48, 65]
  Compare 72 and 48
  Swap 72 and 48
  List after swap: [-61, 15, -28, -26, 4, 48, 72, 65]
  Compare 72 and 65
  Swap 72 and 65
  List after swap: [-61, 15, -28, -26, 4, 48, 65, 72]

Pass 2:
  Compare -61 and 15
  No swap needed
  Compare 15 and -28
  Swap 15 and -28
  List after swap: [-61, -28, 15, -26, 4, 48, 65, 72]
  Compare 15 and -26
  Swap 15 and -26
  List after swap: [-61, -28, -26, 15, 4, 48, 65, 72]
  Compare 15 and 4
  Swap 15 and 4
  List after swap: [-61, -28, -26, 4, 15, 48, 65, 72]
  Compare 15 and 48
  No swap needed
  Compare 48 and 65
  No swap needed

Pass 3:
  Compare -61 and -28
  No swap needed
  Compare -28 and -26
  No swap needed
  Compare -26 and 4
  No swap needed
  Compare 4 and 15
  No swap needed
  Compare 15 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -28, -26, 4, 15, 48, 65, 72]
</think>

<response>-61, -28, -26, 4, 15, 48, 65, 72</response>


input: Carry out the bubble sort algorithm on -72, -27, 23, -78, -7 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-72, -27, 23, -78, -7]

Pass 1:
  Compare -72 and -27
  No swap needed
  Compare -27 and 23
  No swap needed
  Compare 23 and -78
  Swap 23 and -78
  List after swap: [-72, -27, -78, 23, -7]
  Compare 23 and -7
  Swap 23 and -7
  List after swap: [-72, -27, -78, -7, 23]

Pass 2:
  Compare -72 and -27
  No swap needed
  Compare -27 and -78
  Swap -27 and -78
  List after swap: [-72, -78, -27, -7, 23]
  Compare -27 and -7
  No swap needed

Pass 3:
  Compare -72 and -78
  Swap -72 and -78
  List after swap: [-78, -72, -27, -7, 23]
  Compare -72 and -27
  No swap needed

Pass 4:
  Compare -78 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -72, -27, -7, 23]
</think>

<response>-78, -72, -27, -7, 23</response>


input: Implement bubble sort on -17, 25, -42, -21, 84, -33, -64 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-17, 25, -42, -21, 84, -33, -64]

Pass 1:
  Compare -17 and 25
  No swap needed
  Compare 25 and -42
  Swap 25 and -42
  List after swap: [-17, -42, 25, -21, 84, -33, -64]
  Compare 25 and -21
  Swap 25 and -21
  List after swap: [-17, -42, -21, 25, 84, -33, -64]
  Compare 25 and 84
  No swap needed
  Compare 84 and -33
  Swap 84 and -33
  List after swap: [-17, -42, -21, 25, -33, 84, -64]
  Compare 84 and -64
  Swap 84 and -64
  List after swap: [-17, -42, -21, 25, -33, -64, 84]

Pass 2:
  Compare -17 and -42
  Swap -17 and -42
  List after swap: [-42, -17, -21, 25, -33, -64, 84]
  Compare -17 and -21
  Swap -17 and -21
  List after swap: [-42, -21, -17, 25, -33, -64, 84]
  Compare -17 and 25
  No swap needed
  Compare 25 and -33
  Swap 25 and -33
  List after swap: [-42, -21, -17, -33, 25, -64, 84]
  Compare 25 and -64
  Swap 25 and -64
  List after swap: [-42, -21, -17, -33, -64, 25, 84]

Pass 3:
  Compare -42 and -21
  No swap needed
  Compare -21 and -17
  No swap needed
  Compare -17 and -33
  Swap -17 and -33
  List after swap: [-42, -21, -33, -17, -64, 25, 84]
  Compare -17 and -64
  Swap -17 and -64
  List after swap: [-42, -21, -33, -64, -17, 25, 84]

Pass 4:
  Compare -42 and -21
  No swap needed
  Compare -21 and -33
  Swap -21 and -33
  List after swap: [-42, -33, -21, -64, -17, 25, 84]
  Compare -21 and -64
  Swap -21 and -64
  List after swap: [-42, -33, -64, -21, -17, 25, 84]

Pass 5:
  Compare -42 and -33
  No swap needed
  Compare -33 and -64
  Swap -33 and -64
  List after swap: [-42, -64, -33, -21, -17, 25, 84]

Pass 6:
  Compare -42 and -64
  Swap -42 and -64
  List after swap: [-64, -42, -33, -21, -17, 25, 84]

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

Final sorted list: [-64, -42, -33, -21, -17, 25, 84]
</think>

<response>-64, -42, -33, -21, -17, 25, 84</response>


input: Carry out the bubble sort algorithm on 84, 16 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [84, 16]

Pass 1:
  Compare 84 and 16
  Swap 84 and 16
  List after swap: [16, 84]

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

Final sorted list: [16, 84]
</think>

<response>16, 84</response>


input: Arrange the numbers -58, 20, -96, 22, 53, 26, -57, -6 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-58, 20, -96, 22, 53, 26, -57, -6]

Pass 1:
  Compare -58 and 20
  No swap needed
  Compare 20 and -96
  Swap 20 and -96
  List after swap: [-58, -96, 20, 22, 53, 26, -57, -6]
  Compare 20 and 22
  No swap needed
  Compare 22 and 53
  No swap needed
  Compare 53 and 26
  Swap 53 and 26
  List after swap: [-58, -96, 20, 22, 26, 53, -57, -6]
  Compare 53 and -57
  Swap 53 and -57
  List after swap: [-58, -96, 20, 22, 26, -57, 53, -6]
  Compare 53 and -6
  Swap 53 and -6
  List after swap: [-58, -96, 20, 22, 26, -57, -6, 53]

Pass 2:
  Compare -58 and -96
  Swap -58 and -96
  List after swap: [-96, -58, 20, 22, 26, -57, -6, 53]
  Compare -58 and 20
  No swap needed
  Compare 20 and 22
  No swap needed
  Compare 22 and 26
  No swap needed
  Compare 26 and -57
  Swap 26 and -57
  List after swap: [-96, -58, 20, 22, -57, 26, -6, 53]
  Compare 26 and -6
  Swap 26 and -6
  List after swap: [-96, -58, 20, 22, -57, -6, 26, 53]

Pass 3:
  Compare -96 and -58
  No swap needed
  Compare -58 and 20
  No swap needed
  Compare 20 and 22
  No swap needed
  Compare 22 and -57
  Swap 22 and -57
  List after swap: [-96, -58, 20, -57, 22, -6, 26, 53]
  Compare 22 and -6
  Swap 22 and -6
  List after swap: [-96, -58, 20, -57, -6, 22, 26, 53]

Pass 4:
  Compare -96 and -58
  No swap needed
  Compare -58 and 20
  No swap needed
  Compare 20 and -57
  Swap 20 and -57
  List after swap: [-96, -58, -57, 20, -6, 22, 26, 53]
  Compare 20 and -6
  Swap 20 and -6
  List after swap: [-96, -58, -57, -6, 20, 22, 26, 53]

Pass 5:
  Compare -96 and -58
  No swap needed
  Compare -58 and -57
  No swap needed
  Compare -57 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -58, -57, -6, 20, 22, 26, 53]
</think>

<response>-96, -58, -57, -6, 20, 22, 26, 53</response>


input: Sort these integers -42, 98 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-42, 98]

Pass 1:
  Compare -42 and 98
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, 98]
</think>

<response>-42, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 62, 44, -44, -5, -30, 91, -46, 72, 36, -84.

output:
<think>
Initial list: [62, 44, -44, -5, -30, 91, -46, 72, 36, -84]

Pass 1:
  Compare 62 and 44
  Swap 62 and 44
  List after swap: [44, 62, -44, -5, -30, 91, -46, 72, 36, -84]
  Compare 62 and -44
  Swap 62 and -44
  List after swap: [44, -44, 62, -5, -30, 91, -46, 72, 36, -84]
  Compare 62 and -5
  Swap 62 and -5
  List after swap: [44, -44, -5, 62, -30, 91, -46, 72, 36, -84]
  Compare 62 and -30
  Swap 62 and -30
  List after swap: [44, -44, -5, -30, 62, 91, -46, 72, 36, -84]
  Compare 62 and 91
  No swap needed
  Compare 91 and -46
  Swap 91 and -46
  List after swap: [44, -44, -5, -30, 62, -46, 91, 72, 36, -84]
  Compare 91 and 72
  Swap 91 and 72
  List after swap: [44, -44, -5, -30, 62, -46, 72, 91, 36, -84]
  Compare 91 and 36
  Swap 91 and 36
  List after swap: [44, -44, -5, -30, 62, -46, 72, 36, 91, -84]
  Compare 91 and -84
  Swap 91 and -84
  List after swap: [44, -44, -5, -30, 62, -46, 72, 36, -84, 91]

Pass 2:
  Compare 44 and -44
  Swap 44 and -44
  List after swap: [-44, 44, -5, -30, 62, -46, 72, 36, -84, 91]
  Compare 44 and -5
  Swap 44 and -5
  List after swap: [-44, -5, 44, -30, 62, -46, 72, 36, -84, 91]
  Compare 44 and -30
  Swap 44 and -30
  List after swap: [-44, -5, -30, 44, 62, -46, 72, 36, -84, 91]
  Compare 44 and 62
  No swap needed
  Compare 62 and -46
  Swap 62 and -46
  List after swap: [-44, -5, -30, 44, -46, 62, 72, 36, -84, 91]
  Compare 62 and 72
  No swap needed
  Compare 72 and 36
  Swap 72 and 36
  List after swap: [-44, -5, -30, 44, -46, 62, 36, 72, -84, 91]
  Compare 72 and -84
  Swap 72 and -84
  List after swap: [-44, -5, -30, 44, -46, 62, 36, -84, 72, 91]

Pass 3:
  Compare -44 and -5
  No swap needed
  Compare -5 and -30
  Swap -5 and -30
  List after swap: [-44, -30, -5, 44, -46, 62, 36, -84, 72, 91]
  Compare -5 and 44
  No swap needed
  Compare 44 and -46
  Swap 44 and -46
  List after swap: [-44, -30, -5, -46, 44, 62, 36, -84, 72, 91]
  Compare 44 and 62
  No swap needed
  Compare 62 and 36
  Swap 62 and 36
  List after swap: [-44, -30, -5, -46, 44, 36, 62, -84, 72, 91]
  Compare 62 and -84
  Swap 62 and -84
  List after swap: [-44, -30, -5, -46, 44, 36, -84, 62, 72, 91]

Pass 4:
  Compare -44 and -30
  No swap needed
  Compare -30 and -5
  No swap needed
  Compare -5 and -46
  Swap -5 and -46
  List after swap: [-44, -30, -46, -5, 44, 36, -84, 62, 72, 91]
  Compare -5 and 44
  No swap needed
  Compare 44 and 36
  Swap 44 and 36
  List after swap: [-44, -30, -46, -5, 36, 44, -84, 62, 72, 91]
  Compare 44 and -84
  Swap 44 and -84
  List after swap: [-44, -30, -46, -5, 36, -84, 44, 62, 72, 91]

Pass 5:
  Compare -44 and -30
  No swap needed
  Compare -30 and -46
  Swap -30 and -46
  List after swap: [-44, -46, -30, -5, 36, -84, 44, 62, 72, 91]
  Compare -30 and -5
  No swap needed
  Compare -5 and 36
  No swap needed
  Compare 36 and -84
  Swap 36 and -84
  List after swap: [-44, -46, -30, -5, -84, 36, 44, 62, 72, 91]

Pass 6:
  Compare -44 and -46
  Swap -44 and -46
  List after swap: [-46, -44, -30, -5, -84, 36, 44, 62, 72, 91]
  Compare -44 and -30
  No swap needed
  Compare -30 and -5
  No swap needed
  Compare -5 and -84
  Swap -5 and -84
  List after swap: [-46, -44, -30, -84, -5, 36, 44, 62, 72, 91]

Pass 7:
  Compare -46 and -44
  No swap needed
  Compare -44 and -30
  No swap needed
  Compare -30 and -84
  Swap -30 and -84
  List after swap: [-46, -44, -84, -30, -5, 36, 44, 62, 72, 91]

Pass 8:
  Compare -46 and -44
  No swap needed
  Compare -44 and -84
  Swap -44 and -84
  List after swap: [-46, -84, -44, -30, -5, 36, 44, 62, 72, 91]

Pass 9:
  Compare -46 and -84
  Swap -46 and -84
  List after swap: [-84, -46, -44, -30, -5, 36, 44, 62, 72, 91]

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

Final sorted list: [-84, -46, -44, -30, -5, 36, 44, 62, 72, 91]
</think>

<response>-84, -46, -44, -30, -5, 36, 44, 62, 72, 91</response>


input: Using the bubble sort method, sort -28, 83 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-28, 83]

Pass 1:
  Compare -28 and 83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, 83]
</think>

<response>-28, 83</response>


input: Using the bubble sort method, sort 23, -43, 36, 0, 47, 67 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [23, -43, 36, 0, 47, 67]

Pass 1:
  Compare 23 and -43
  Swap 23 and -43
  List after swap: [-43, 23, 36, 0, 47, 67]
  Compare 23 and 36
  No swap needed
  Compare 36 and 0
  Swap 36 and 0
  List after swap: [-43, 23, 0, 36, 47, 67]
  Compare 36 and 47
  No swap needed
  Compare 47 and 67
  No swap needed

Pass 2:
  Compare -43 and 23
  No swap needed
  Compare 23 and 0
  Swap 23 and 0
  List after swap: [-43, 0, 23, 36, 47, 67]
  Compare 23 and 36
  No swap needed
  Compare 36 and 47
  No swap needed

Pass 3:
  Compare -43 and 0
  No swap needed
  Compare 0 and 23
  No swap needed
  Compare 23 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, 0, 23, 36, 47, 67]
</think>

<response>-43, 0, 23, 36, 47, 67</response>


input: Perform a bubble sort on the integers -29, 68, 94, -50, -97, -48, 31, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-29, 68, 94, -50, -97, -48, 31]

Pass 1:
  Compare -29 and 68
  No swap needed
  Compare 68 and 94
  No swap needed
  Compare 94 and -50
  Swap 94 and -50
  List after swap: [-29, 68, -50, 94, -97, -48, 31]
  Compare 94 and -97
  Swap 94 and -97
  List after swap: [-29, 68, -50, -97, 94, -48, 31]
  Compare 94 and -48
  Swap 94 and -48
  List after swap: [-29, 68, -50, -97, -48, 94, 31]
  Compare 94 and 31
  Swap 94 and 31
  List after swap: [-29, 68, -50, -97, -48, 31, 94]

Pass 2:
  Compare -29 and 68
  No swap needed
  Compare 68 and -50
  Swap 68 and -50
  List after swap: [-29, -50, 68, -97, -48, 31, 94]
  Compare 68 and -97
  Swap 68 and -97
  List after swap: [-29, -50, -97, 68, -48, 31, 94]
  Compare 68 and -48
  Swap 68 and -48
  List after swap: [-29, -50, -97, -48, 68, 31, 94]
  Compare 68 and 31
  Swap 68 and 31
  List after swap: [-29, -50, -97, -48, 31, 68, 94]

Pass 3:
  Compare -29 and -50
  Swap -29 and -50
  List after swap: [-50, -29, -97, -48, 31, 68, 94]
  Compare -29 and -97
  Swap -29 and -97
  List after swap: [-50, -97, -29, -48, 31, 68, 94]
  Compare -29 and -48
  Swap -29 and -48
  List after swap: [-50, -97, -48, -29, 31, 68, 94]
  Compare -29 and 31
  No swap needed

Pass 4:
  Compare -50 and -97
  Swap -50 and -97
  List after swap: [-97, -50, -48, -29, 31, 68, 94]
  Compare -50 and -48
  No swap needed
  Compare -48 and -29
  No swap needed

Pass 5:
  Compare -97 and -50
  No swap needed
  Compare -50 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -50, -48, -29, 31, 68, 94]
</think>

<response>-97, -50, -48, -29, 31, 68, 94</response>


input: Using the bubble sort method, sort -42, -60, -70, 61, -36, 56, -41, 92 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-42, -60, -70, 61, -36, 56, -41, 92]

Pass 1:
  Compare -42 and -60
  Swap -42 and -60
  List after swap: [-60, -42, -70, 61, -36, 56, -41, 92]
  Compare -42 and -70
  Swap -42 and -70
  List after swap: [-60, -70, -42, 61, -36, 56, -41, 92]
  Compare -42 and 61
  No swap needed
  Compare 61 and -36
  Swap 61 and -36
  List after swap: [-60, -70, -42, -36, 61, 56, -41, 92]
  Compare 61 and 56
  Swap 61 and 56
  List after swap: [-60, -70, -42, -36, 56, 61, -41, 92]
  Compare 61 and -41
  Swap 61 and -41
  List after swap: [-60, -70, -42, -36, 56, -41, 61, 92]
  Compare 61 and 92
  No swap needed

Pass 2:
  Compare -60 and -70
  Swap -60 and -70
  List after swap: [-70, -60, -42, -36, 56, -41, 61, 92]
  Compare -60 and -42
  No swap needed
  Compare -42 and -36
  No swap needed
  Compare -36 and 56
  No swap needed
  Compare 56 and -41
  Swap 56 and -41
  List after swap: [-70, -60, -42, -36, -41, 56, 61, 92]
  Compare 56 and 61
  No swap needed

Pass 3:
  Compare -70 and -60
  No swap needed
  Compare -60 and -42
  No swap needed
  Compare -42 and -36
  No swap needed
  Compare -36 and -41
  Swap -36 and -41
  List after swap: [-70, -60, -42, -41, -36, 56, 61, 92]
  Compare -36 and 56
  No swap needed

Pass 4:
  Compare -70 and -60
  No swap needed
  Compare -60 and -42
  No swap needed
  Compare -42 and -41
  No swap needed
  Compare -41 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -60, -42, -41, -36, 56, 61, 92]
</think>

<response>-70, -60, -42, -41, -36, 56, 61, 92</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -70, 10, 3, 2, 66.

output:
<think>
Initial list: [-70, 10, 3, 2, 66]

Pass 1:
  Compare -70 and 10
  No swap needed
  Compare 10 and 3
  Swap 10 and 3
  List after swap: [-70, 3, 10, 2, 66]
  Compare 10 and 2
  Swap 10 and 2
  List after swap: [-70, 3, 2, 10, 66]
  Compare 10 and 66
  No swap needed

Pass 2:
  Compare -70 and 3
  No swap needed
  Compare 3 and 2
  Swap 3 and 2
  List after swap: [-70, 2, 3, 10, 66]
  Compare 3 and 10
  No swap needed

Pass 3:
  Compare -70 and 2
  No swap needed
  Compare 2 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, 2, 3, 10, 66]
</think>

<response>-70, 2, 3, 10, 66</response>


input: Using the bubble sort method, sort -26, 0, -72 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-26, 0, -72]

Pass 1:
  Compare -26 and 0
  No swap needed
  Compare 0 and -72
  Swap 0 and -72
  List after swap: [-26, -72, 0]

Pass 2:
  Compare -26 and -72
  Swap -26 and -72
  List after swap: [-72, -26, 0]

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

Final sorted list: [-72, -26, 0]
</think>

<response>-72, -26, 0</response>


input: Sort these integers 95, 32, -97, 21, 71, -100, 94, -99 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [95, 32, -97, 21, 71, -100, 94, -99]

Pass 1:
  Compare 95 and 32
  Swap 95 and 32
  List after swap: [32, 95, -97, 21, 71, -100, 94, -99]
  Compare 95 and -97
  Swap 95 and -97
  List after swap: [32, -97, 95, 21, 71, -100, 94, -99]
  Compare 95 and 21
  Swap 95 and 21
  List after swap: [32, -97, 21, 95, 71, -100, 94, -99]
  Compare 95 and 71
  Swap 95 and 71
  List after swap: [32, -97, 21, 71, 95, -100, 94, -99]
  Compare 95 and -100
  Swap 95 and -100
  List after swap: [32, -97, 21, 71, -100, 95, 94, -99]
  Compare 95 and 94
  Swap 95 and 94
  List after swap: [32, -97, 21, 71, -100, 94, 95, -99]
  Compare 95 and -99
  Swap 95 and -99
  List after swap: [32, -97, 21, 71, -100, 94, -99, 95]

Pass 2:
  Compare 32 and -97
  Swap 32 and -97
  List after swap: [-97, 32, 21, 71, -100, 94, -99, 95]
  Compare 32 and 21
  Swap 32 and 21
  List after swap: [-97, 21, 32, 71, -100, 94, -99, 95]
  Compare 32 and 71
  No swap needed
  Compare 71 and -100
  Swap 71 and -100
  List after swap: [-97, 21, 32, -100, 71, 94, -99, 95]
  Compare 71 and 94
  No swap needed
  Compare 94 and -99
  Swap 94 and -99
  List after swap: [-97, 21, 32, -100, 71, -99, 94, 95]

Pass 3:
  Compare -97 and 21
  No swap needed
  Compare 21 and 32
  No swap needed
  Compare 32 and -100
  Swap 32 and -100
  List after swap: [-97, 21, -100, 32, 71, -99, 94, 95]
  Compare 32 and 71
  No swap needed
  Compare 71 and -99
  Swap 71 and -99
  List after swap: [-97, 21, -100, 32, -99, 71, 94, 95]

Pass 4:
  Compare -97 and 21
  No swap needed
  Compare 21 and -100
  Swap 21 and -100
  List after swap: [-97, -100, 21, 32, -99, 71, 94, 95]
  Compare 21 and 32
  No swap needed
  Compare 32 and -99
  Swap 32 and -99
  List after swap: [-97, -100, 21, -99, 32, 71, 94, 95]

Pass 5:
  Compare -97 and -100
  Swap -97 and -100
  List after swap: [-100, -97, 21, -99, 32, 71, 94, 95]
  Compare -97 and 21
  No swap needed
  Compare 21 and -99
  Swap 21 and -99
  List after swap: [-100, -97, -99, 21, 32, 71, 94, 95]

Pass 6:
  Compare -100 and -97
  No swap needed
  Compare -97 and -99
  Swap -97 and -99
  List after swap: [-100, -99, -97, 21, 32, 71, 94, 95]

Pass 7:
  Compare -100 and -99
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -99, -97, 21, 32, 71, 94, 95]
</think>

<response>-100, -99, -97, 21, 32, 71, 94, 95</response>


input: Carry out the bubble sort algorithm on 99, -92, 21, 82, -48 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [99, -92, 21, 82, -48]

Pass 1:
  Compare 99 and -92
  Swap 99 and -92
  List after swap: [-92, 99, 21, 82, -48]
  Compare 99 and 21
  Swap 99 and 21
  List after swap: [-92, 21, 99, 82, -48]
  Compare 99 and 82
  Swap 99 and 82
  List after swap: [-92, 21, 82, 99, -48]
  Compare 99 and -48
  Swap 99 and -48
  List after swap: [-92, 21, 82, -48, 99]

Pass 2:
  Compare -92 and 21
  No swap needed
  Compare 21 and 82
  No swap needed
  Compare 82 and -48
  Swap 82 and -48
  List after swap: [-92, 21, -48, 82, 99]

Pass 3:
  Compare -92 and 21
  No swap needed
  Compare 21 and -48
  Swap 21 and -48
  List after swap: [-92, -48, 21, 82, 99]

Pass 4:
  Compare -92 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -48, 21, 82, 99]
</think>

<response>-92, -48, 21, 82, 99</response>


input: Implement bubble sort on -75, -19, 47, -68, -24, -73, -13, -86, 72 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-75, -19, 47, -68, -24, -73, -13, -86, 72]

Pass 1:
  Compare -75 and -19
  No swap needed
  Compare -19 and 47
  No swap needed
  Compare 47 and -68
  Swap 47 and -68
  List after swap: [-75, -19, -68, 47, -24, -73, -13, -86, 72]
  Compare 47 and -24
  Swap 47 and -24
  List after swap: [-75, -19, -68, -24, 47, -73, -13, -86, 72]
  Compare 47 and -73
  Swap 47 and -73
  List after swap: [-75, -19, -68, -24, -73, 47, -13, -86, 72]
  Compare 47 and -13
  Swap 47 and -13
  List after swap: [-75, -19, -68, -24, -73, -13, 47, -86, 72]
  Compare 47 and -86
  Swap 47 and -86
  List after swap: [-75, -19, -68, -24, -73, -13, -86, 47, 72]
  Compare 47 and 72
  No swap needed

Pass 2:
  Compare -75 and -19
  No swap needed
  Compare -19 and -68
  Swap -19 and -68
  List after swap: [-75, -68, -19, -24, -73, -13, -86, 47, 72]
  Compare -19 and -24
  Swap -19 and -24
  List after swap: [-75, -68, -24, -19, -73, -13, -86, 47, 72]
  Compare -19 and -73
  Swap -19 and -73
  List after swap: [-75, -68, -24, -73, -19, -13, -86, 47, 72]
  Compare -19 and -13
  No swap needed
  Compare -13 and -86
  Swap -13 and -86
  List after swap: [-75, -68, -24, -73, -19, -86, -13, 47, 72]
  Compare -13 and 47
  No swap needed

Pass 3:
  Compare -75 and -68
  No swap needed
  Compare -68 and -24
  No swap needed
  Compare -24 and -73
  Swap -24 and -73
  List after swap: [-75, -68, -73, -24, -19, -86, -13, 47, 72]
  Compare -24 and -19
  No swap needed
  Compare -19 and -86
  Swap -19 and -86
  List after swap: [-75, -68, -73, -24, -86, -19, -13, 47, 72]
  Compare -19 and -13
  No swap needed

Pass 4:
  Compare -75 and -68
  No swap needed
  Compare -68 and -73
  Swap -68 and -73
  List after swap: [-75, -73, -68, -24, -86, -19, -13, 47, 72]
  Compare -68 and -24
  No swap needed
  Compare -24 and -86
  Swap -24 and -86
  List after swap: [-75, -73, -68, -86, -24, -19, -13, 47, 72]
  Compare -24 and -19
  No swap needed

Pass 5:
  Compare -75 and -73
  No swap needed
  Compare -73 and -68
  No swap needed
  Compare -68 and -86
  Swap -68 and -86
  List after swap: [-75, -73, -86, -68, -24, -19, -13, 47, 72]
  Compare -68 and -24
  No swap needed

Pass 6:
  Compare -75 and -73
  No swap needed
  Compare -73 and -86
  Swap -73 and -86
  List after swap: [-75, -86, -73, -68, -24, -19, -13, 47, 72]
  Compare -73 and -68
  No swap needed

Pass 7:
  Compare -75 and -86
  Swap -75 and -86
  List after swap: [-86, -75, -73, -68, -24, -19, -13, 47, 72]
  Compare -75 and -73
  No swap needed

Pass 8:
  Compare -86 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -75, -73, -68, -24, -19, -13, 47, 72]
</think>

<response>-86, -75, -73, -68, -24, -19, -13, 47, 72</response>


input: Demonstrate how bubble sort orders the integers 83, -68, 66, -27, 38, 23, -85 in ascending sequence, showing all steps.

output:
<think>
Initial list: [83, -68, 66, -27, 38, 23, -85]

Pass 1:
  Compare 83 and -68
  Swap 83 and -68
  List after swap: [-68, 83, 66, -27, 38, 23, -85]
  Compare 83 and 66
  Swap 83 and 66
  List after swap: [-68, 66, 83, -27, 38, 23, -85]
  Compare 83 and -27
  Swap 83 and -27
  List after swap: [-68, 66, -27, 83, 38, 23, -85]
  Compare 83 and 38
  Swap 83 and 38
  List after swap: [-68, 66, -27, 38, 83, 23, -85]
  Compare 83 and 23
  Swap 83 and 23
  List after swap: [-68, 66, -27, 38, 23, 83, -85]
  Compare 83 and -85
  Swap 83 and -85
  List after swap: [-68, 66, -27, 38, 23, -85, 83]

Pass 2:
  Compare -68 and 66
  No swap needed
  Compare 66 and -27
  Swap 66 and -27
  List after swap: [-68, -27, 66, 38, 23, -85, 83]
  Compare 66 and 38
  Swap 66 and 38
  List after swap: [-68, -27, 38, 66, 23, -85, 83]
  Compare 66 and 23
  Swap 66 and 23
  List after swap: [-68, -27, 38, 23, 66, -85, 83]
  Compare 66 and -85
  Swap 66 and -85
  List after swap: [-68, -27, 38, 23, -85, 66, 83]

Pass 3:
  Compare -68 and -27
  No swap needed
  Compare -27 and 38
  No swap needed
  Compare 38 and 23
  Swap 38 and 23
  List after swap: [-68, -27, 23, 38, -85, 66, 83]
  Compare 38 and -85
  Swap 38 and -85
  List after swap: [-68, -27, 23, -85, 38, 66, 83]

Pass 4:
  Compare -68 and -27
  No swap needed
  Compare -27 and 23
  No swap needed
  Compare 23 and -85
  Swap 23 and -85
  List after swap: [-68, -27, -85, 23, 38, 66, 83]

Pass 5:
  Compare -68 and -27
  No swap needed
  Compare -27 and -85
  Swap -27 and -85
  List after swap: [-68, -85, -27, 23, 38, 66, 83]

Pass 6:
  Compare -68 and -85
  Swap -68 and -85
  List after swap: [-85, -68, -27, 23, 38, 66, 83]

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

Final sorted list: [-85, -68, -27, 23, 38, 66, 83]
</think>

<response>-85, -68, -27, 23, 38, 66, 83</response>


input: Execute bubble sort to sort -87, -92, -2, -25 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-87, -92, -2, -25]

Pass 1:
  Compare -87 and -92
  Swap -87 and -92
  List after swap: [-92, -87, -2, -25]
  Compare -87 and -2
  No swap needed
  Compare -2 and -25
  Swap -2 and -25
  List after swap: [-92, -87, -25, -2]

Pass 2:
  Compare -92 and -87
  No swap needed
  Compare -87 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -87, -25, -2]
</think>

<response>-92, -87, -25, -2</response>


input: Sort these integers -6, 13, 54, 44, -20, -14 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-6, 13, 54, 44, -20, -14]

Pass 1:
  Compare -6 and 13
  No swap needed
  Compare 13 and 54
  No swap needed
  Compare 54 and 44
  Swap 54 and 44
  List after swap: [-6, 13, 44, 54, -20, -14]
  Compare 54 and -20
  Swap 54 and -20
  List after swap: [-6, 13, 44, -20, 54, -14]
  Compare 54 and -14
  Swap 54 and -14
  List after swap: [-6, 13, 44, -20, -14, 54]

Pass 2:
  Compare -6 and 13
  No swap needed
  Compare 13 and 44
  No swap needed
  Compare 44 and -20
  Swap 44 and -20
  List after swap: [-6, 13, -20, 44, -14, 54]
  Compare 44 and -14
  Swap 44 and -14
  List after swap: [-6, 13, -20, -14, 44, 54]

Pass 3:
  Compare -6 and 13
  No swap needed
  Compare 13 and -20
  Swap 13 and -20
  List after swap: [-6, -20, 13, -14, 44, 54]
  Compare 13 and -14
  Swap 13 and -14
  List after swap: [-6, -20, -14, 13, 44, 54]

Pass 4:
  Compare -6 and -20
  Swap -6 and -20
  List after swap: [-20, -6, -14, 13, 44, 54]
  Compare -6 and -14
  Swap -6 and -14
  List after swap: [-20, -14, -6, 13, 44, 54]

Pass 5:
  Compare -20 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, -14, -6, 13, 44, 54]
</think>

<response>-20, -14, -6, 13, 44, 54</response>


input: Using the bubble sort method, sort 48, 89, 17, 0, 96, -86 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [48, 89, 17, 0, 96, -86]

Pass 1:
  Compare 48 and 89
  No swap needed
  Compare 89 and 17
  Swap 89 and 17
  List after swap: [48, 17, 89, 0, 96, -86]
  Compare 89 and 0
  Swap 89 and 0
  List after swap: [48, 17, 0, 89, 96, -86]
  Compare 89 and 96
  No swap needed
  Compare 96 and -86
  Swap 96 and -86
  List after swap: [48, 17, 0, 89, -86, 96]

Pass 2:
  Compare 48 and 17
  Swap 48 and 17
  List after swap: [17, 48, 0, 89, -86, 96]
  Compare 48 and 0
  Swap 48 and 0
  List after swap: [17, 0, 48, 89, -86, 96]
  Compare 48 and 89
  No swap needed
  Compare 89 and -86
  Swap 89 and -86
  List after swap: [17, 0, 48, -86, 89, 96]

Pass 3:
  Compare 17 and 0
  Swap 17 and 0
  List after swap: [0, 17, 48, -86, 89, 96]
  Compare 17 and 48
  No swap needed
  Compare 48 and -86
  Swap 48 and -86
  List after swap: [0, 17, -86, 48, 89, 96]

Pass 4:
  Compare 0 and 17
  No swap needed
  Compare 17 and -86
  Swap 17 and -86
  List after swap: [0, -86, 17, 48, 89, 96]

Pass 5:
  Compare 0 and -86
  Swap 0 and -86
  List after swap: [-86, 0, 17, 48, 89, 96]

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

Final sorted list: [-86, 0, 17, 48, 89, 96]
</think>

<response>-86, 0, 17, 48, 89, 96</response>


input: Carry out the bubble sort algorithm on -95, -12, 15, 31, -45, 23, -85, -99 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-95, -12, 15, 31, -45, 23, -85, -99]

Pass 1:
  Compare -95 and -12
  No swap needed
  Compare -12 and 15
  No swap needed
  Compare 15 and 31
  No swap needed
  Compare 31 and -45
  Swap 31 and -45
  List after swap: [-95, -12, 15, -45, 31, 23, -85, -99]
  Compare 31 and 23
  Swap 31 and 23
  List after swap: [-95, -12, 15, -45, 23, 31, -85, -99]
  Compare 31 and -85
  Swap 31 and -85
  List after swap: [-95, -12, 15, -45, 23, -85, 31, -99]
  Compare 31 and -99
  Swap 31 and -99
  List after swap: [-95, -12, 15, -45, 23, -85, -99, 31]

Pass 2:
  Compare -95 and -12
  No swap needed
  Compare -12 and 15
  No swap needed
  Compare 15 and -45
  Swap 15 and -45
  List after swap: [-95, -12, -45, 15, 23, -85, -99, 31]
  Compare 15 and 23
  No swap needed
  Compare 23 and -85
  Swap 23 and -85
  List after swap: [-95, -12, -45, 15, -85, 23, -99, 31]
  Compare 23 and -99
  Swap 23 and -99
  List after swap: [-95, -12, -45, 15, -85, -99, 23, 31]

Pass 3:
  Compare -95 and -12
  No swap needed
  Compare -12 and -45
  Swap -12 and -45
  List after swap: [-95, -45, -12, 15, -85, -99, 23, 31]
  Compare -12 and 15
  No swap needed
  Compare 15 and -85
  Swap 15 and -85
  List after swap: [-95, -45, -12, -85, 15, -99, 23, 31]
  Compare 15 and -99
  Swap 15 and -99
  List after swap: [-95, -45, -12, -85, -99, 15, 23, 31]

Pass 4:
  Compare -95 and -45
  No swap needed
  Compare -45 and -12
  No swap needed
  Compare -12 and -85
  Swap -12 and -85
  List after swap: [-95, -45, -85, -12, -99, 15, 23, 31]
  Compare -12 and -99
  Swap -12 and -99
  List after swap: [-95, -45, -85, -99, -12, 15, 23, 31]

Pass 5:
  Compare -95 and -45
  No swap needed
  Compare -45 and -85
  Swap -45 and -85
  List after swap: [-95, -85, -45, -99, -12, 15, 23, 31]
  Compare -45 and -99
  Swap -45 and -99
  List after swap: [-95, -85, -99, -45, -12, 15, 23, 31]

Pass 6:
  Compare -95 and -85
  No swap needed
  Compare -85 and -99
  Swap -85 and -99
  List after swap: [-95, -99, -85, -45, -12, 15, 23, 31]

Pass 7:
  Compare -95 and -99
  Swap -95 and -99
  List after swap: [-99, -95, -85, -45, -12, 15, 23, 31]

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

Final sorted list: [-99, -95, -85, -45, -12, 15, 23, 31]
</think>

<response>-99, -95, -85, -45, -12, 15, 23, 31</response>


input: Implement bubble sort on 95, 74, -17, 5 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [95, 74, -17, 5]

Pass 1:
  Compare 95 and 74
  Swap 95 and 74
  List after swap: [74, 95, -17, 5]
  Compare 95 and -17
  Swap 95 and -17
  List after swap: [74, -17, 95, 5]
  Compare 95 and 5
  Swap 95 and 5
  List after swap: [74, -17, 5, 95]

Pass 2:
  Compare 74 and -17
  Swap 74 and -17
  List after swap: [-17, 74, 5, 95]
  Compare 74 and 5
  Swap 74 and 5
  List after swap: [-17, 5, 74, 95]

Pass 3:
  Compare -17 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-17, 5, 74, 95]
</think>

<response>-17, 5, 74, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 76, 40, 35, -39, -7, 38, 94, 81.

output:
<think>
Initial list: [76, 40, 35, -39, -7, 38, 94, 81]

Pass 1:
  Compare 76 and 40
  Swap 76 and 40
  List after swap: [40, 76, 35, -39, -7, 38, 94, 81]
  Compare 76 and 35
  Swap 76 and 35
  List after swap: [40, 35, 76, -39, -7, 38, 94, 81]
  Compare 76 and -39
  Swap 76 and -39
  List after swap: [40, 35, -39, 76, -7, 38, 94, 81]
  Compare 76 and -7
  Swap 76 and -7
  List after swap: [40, 35, -39, -7, 76, 38, 94, 81]
  Compare 76 and 38
  Swap 76 and 38
  List after swap: [40, 35, -39, -7, 38, 76, 94, 81]
  Compare 76 and 94
  No swap needed
  Compare 94 and 81
  Swap 94 and 81
  List after swap: [40, 35, -39, -7, 38, 76, 81, 94]

Pass 2:
  Compare 40 and 35
  Swap 40 and 35
  List after swap: [35, 40, -39, -7, 38, 76, 81, 94]
  Compare 40 and -39
  Swap 40 and -39
  List after swap: [35, -39, 40, -7, 38, 76, 81, 94]
  Compare 40 and -7
  Swap 40 and -7
  List after swap: [35, -39, -7, 40, 38, 76, 81, 94]
  Compare 40 and 38
  Swap 40 and 38
  List after swap: [35, -39, -7, 38, 40, 76, 81, 94]
  Compare 40 and 76
  No swap needed
  Compare 76 and 81
  No swap needed

Pass 3:
  Compare 35 and -39
  Swap 35 and -39
  List after swap: [-39, 35, -7, 38, 40, 76, 81, 94]
  Compare 35 and -7
  Swap 35 and -7
  List after swap: [-39, -7, 35, 38, 40, 76, 81, 94]
  Compare 35 and 38
  No swap needed
  Compare 38 and 40
  No swap needed
  Compare 40 and 76
  No swap needed

Pass 4:
  Compare -39 and -7
  No swap needed
  Compare -7 and 35
  No swap needed
  Compare 35 and 38
  No swap needed
  Compare 38 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -7, 35, 38, 40, 76, 81, 94]
</think>

<response>-39, -7, 35, 38, 40, 76, 81, 94</response>


input: Sort these integers -21, 23, 90, 43, 78, -70, -16, 89 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-21, 23, 90, 43, 78, -70, -16, 89]

Pass 1:
  Compare -21 and 23
  No swap needed
  Compare 23 and 90
  No swap needed
  Compare 90 and 43
  Swap 90 and 43
  List after swap: [-21, 23, 43, 90, 78, -70, -16, 89]
  Compare 90 and 78
  Swap 90 and 78
  List after swap: [-21, 23, 43, 78, 90, -70, -16, 89]
  Compare 90 and -70
  Swap 90 and -70
  List after swap: [-21, 23, 43, 78, -70, 90, -16, 89]
  Compare 90 and -16
  Swap 90 and -16
  List after swap: [-21, 23, 43, 78, -70, -16, 90, 89]
  Compare 90 and 89
  Swap 90 and 89
  List after swap: [-21, 23, 43, 78, -70, -16, 89, 90]

Pass 2:
  Compare -21 and 23
  No swap needed
  Compare 23 and 43
  No swap needed
  Compare 43 and 78
  No swap needed
  Compare 78 and -70
  Swap 78 and -70
  List after swap: [-21, 23, 43, -70, 78, -16, 89, 90]
  Compare 78 and -16
  Swap 78 and -16
  List after swap: [-21, 23, 43, -70, -16, 78, 89, 90]
  Compare 78 and 89
  No swap needed

Pass 3:
  Compare -21 and 23
  No swap needed
  Compare 23 and 43
  No swap needed
  Compare 43 and -70
  Swap 43 and -70
  List after swap: [-21, 23, -70, 43, -16, 78, 89, 90]
  Compare 43 and -16
  Swap 43 and -16
  List after swap: [-21, 23, -70, -16, 43, 78, 89, 90]
  Compare 43 and 78
  No swap needed

Pass 4:
  Compare -21 and 23
  No swap needed
  Compare 23 and -70
  Swap 23 and -70
  List after swap: [-21, -70, 23, -16, 43, 78, 89, 90]
  Compare 23 and -16
  Swap 23 and -16
  List after swap: [-21, -70, -16, 23, 43, 78, 89, 90]
  Compare 23 and 43
  No swap needed

Pass 5:
  Compare -21 and -70
  Swap -21 and -70
  List after swap: [-70, -21, -16, 23, 43, 78, 89, 90]
  Compare -21 and -16
  No swap needed
  Compare -16 and 23
  No swap needed

Pass 6:
  Compare -70 and -21
  No swap needed
  Compare -21 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -21, -16, 23, 43, 78, 89, 90]
</think>

<response>-70, -21, -16, 23, 43, 78, 89, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 87, -4, 67, -60.

output:
<think>
Initial list: [87, -4, 67, -60]

Pass 1:
  Compare 87 and -4
  Swap 87 and -4
  List after swap: [-4, 87, 67, -60]
  Compare 87 and 67
  Swap 87 and 67
  List after swap: [-4, 67, 87, -60]
  Compare 87 and -60
  Swap 87 and -60
  List after swap: [-4, 67, -60, 87]

Pass 2:
  Compare -4 and 67
  No swap needed
  Compare 67 and -60
  Swap 67 and -60
  List after swap: [-4, -60, 67, 87]

Pass 3:
  Compare -4 and -60
  Swap -4 and -60
  List after swap: [-60, -4, 67, 87]

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

Final sorted list: [-60, -4, 67, 87]
</think>

<response>-60, -4, 67, 87</response>


input: Use the bubble sort technique to reorder 42, -82 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [42, -82]

Pass 1:
  Compare 42 and -82
  Swap 42 and -82
  List after swap: [-82, 42]

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

Final sorted list: [-82, 42]
</think>

<response>-82, 42</response>


input: Carry out the bubble sort algorithm on 69, -86, -19, -69 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [69, -86, -19, -69]

Pass 1:
  Compare 69 and -86
  Swap 69 and -86
  List after swap: [-86, 69, -19, -69]
  Compare 69 and -19
  Swap 69 and -19
  List after swap: [-86, -19, 69, -69]
  Compare 69 and -69
  Swap 69 and -69
  List after swap: [-86, -19, -69, 69]

Pass 2:
  Compare -86 and -19
  No swap needed
  Compare -19 and -69
  Swap -19 and -69
  List after swap: [-86, -69, -19, 69]

Pass 3:
  Compare -86 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -69, -19, 69]
</think>

<response>-86, -69, -19, 69</response>


input: Sort these integers 89, 38, 19, -63, -18 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [89, 38, 19, -63, -18]

Pass 1:
  Compare 89 and 38
  Swap 89 and 38
  List after swap: [38, 89, 19, -63, -18]
  Compare 89 and 19
  Swap 89 and 19
  List after swap: [38, 19, 89, -63, -18]
  Compare 89 and -63
  Swap 89 and -63
  List after swap: [38, 19, -63, 89, -18]
  Compare 89 and -18
  Swap 89 and -18
  List after swap: [38, 19, -63, -18, 89]

Pass 2:
  Compare 38 and 19
  Swap 38 and 19
  List after swap: [19, 38, -63, -18, 89]
  Compare 38 and -63
  Swap 38 and -63
  List after swap: [19, -63, 38, -18, 89]
  Compare 38 and -18
  Swap 38 and -18
  List after swap: [19, -63, -18, 38, 89]

Pass 3:
  Compare 19 and -63
  Swap 19 and -63
  List after swap: [-63, 19, -18, 38, 89]
  Compare 19 and -18
  Swap 19 and -18
  List after swap: [-63, -18, 19, 38, 89]

Pass 4:
  Compare -63 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -18, 19, 38, 89]
</think>

<response>-63, -18, 19, 38, 89</response>


input: Using the bubble sort method, sort -70, 10, 76, -57, -16, -8, -64, -42, 21, -45 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-70, 10, 76, -57, -16, -8, -64, -42, 21, -45]

Pass 1:
  Compare -70 and 10
  No swap needed
  Compare 10 and 76
  No swap needed
  Compare 76 and -57
  Swap 76 and -57
  List after swap: [-70, 10, -57, 76, -16, -8, -64, -42, 21, -45]
  Compare 76 and -16
  Swap 76 and -16
  List after swap: [-70, 10, -57, -16, 76, -8, -64, -42, 21, -45]
  Compare 76 and -8
  Swap 76 and -8
  List after swap: [-70, 10, -57, -16, -8, 76, -64, -42, 21, -45]
  Compare 76 and -64
  Swap 76 and -64
  List after swap: [-70, 10, -57, -16, -8, -64, 76, -42, 21, -45]
  Compare 76 and -42
  Swap 76 and -42
  List after swap: [-70, 10, -57, -16, -8, -64, -42, 76, 21, -45]
  Compare 76 and 21
  Swap 76 and 21
  List after swap: [-70, 10, -57, -16, -8, -64, -42, 21, 76, -45]
  Compare 76 and -45
  Swap 76 and -45
  List after swap: [-70, 10, -57, -16, -8, -64, -42, 21, -45, 76]

Pass 2:
  Compare -70 and 10
  No swap needed
  Compare 10 and -57
  Swap 10 and -57
  List after swap: [-70, -57, 10, -16, -8, -64, -42, 21, -45, 76]
  Compare 10 and -16
  Swap 10 and -16
  List after swap: [-70, -57, -16, 10, -8, -64, -42, 21, -45, 76]
  Compare 10 and -8
  Swap 10 and -8
  List after swap: [-70, -57, -16, -8, 10, -64, -42, 21, -45, 76]
  Compare 10 and -64
  Swap 10 and -64
  List after swap: [-70, -57, -16, -8, -64, 10, -42, 21, -45, 76]
  Compare 10 and -42
  Swap 10 and -42
  List after swap: [-70, -57, -16, -8, -64, -42, 10, 21, -45, 76]
  Compare 10 and 21
  No swap needed
  Compare 21 and -45
  Swap 21 and -45
  List after swap: [-70, -57, -16, -8, -64, -42, 10, -45, 21, 76]

Pass 3:
  Compare -70 and -57
  No swap needed
  Compare -57 and -16
  No swap needed
  Compare -16 and -8
  No swap needed
  Compare -8 and -64
  Swap -8 and -64
  List after swap: [-70, -57, -16, -64, -8, -42, 10, -45, 21, 76]
  Compare -8 and -42
  Swap -8 and -42
  List after swap: [-70, -57, -16, -64, -42, -8, 10, -45, 21, 76]
  Compare -8 and 10
  No swap needed
  Compare 10 and -45
  Swap 10 and -45
  List after swap: [-70, -57, -16, -64, -42, -8, -45, 10, 21, 76]

Pass 4:
  Compare -70 and -57
  No swap needed
  Compare -57 and -16
  No swap needed
  Compare -16 and -64
  Swap -16 and -64
  List after swap: [-70, -57, -64, -16, -42, -8, -45, 10, 21, 76]
  Compare -16 and -42
  Swap -16 and -42
  List after swap: [-70, -57, -64, -42, -16, -8, -45, 10, 21, 76]
  Compare -16 and -8
  No swap needed
  Compare -8 and -45
  Swap -8 and -45
  List after swap: [-70, -57, -64, -42, -16, -45, -8, 10, 21, 76]

Pass 5:
  Compare -70 and -57
  No swap needed
  Compare -57 and -64
  Swap -57 and -64
  List after swap: [-70, -64, -57, -42, -16, -45, -8, 10, 21, 76]
  Compare -57 and -42
  No swap needed
  Compare -42 and -16
  No swap needed
  Compare -16 and -45
  Swap -16 and -45
  List after swap: [-70, -64, -57, -42, -45, -16, -8, 10, 21, 76]

Pass 6:
  Compare -70 and -64
  No swap needed
  Compare -64 and -57
  No swap needed
  Compare -57 and -42
  No swap needed
  Compare -42 and -45
  Swap -42 and -45
  List after swap: [-70, -64, -57, -45, -42, -16, -8, 10, 21, 76]

Pass 7:
  Compare -70 and -64
  No swap needed
  Compare -64 and -57
  No swap needed
  Compare -57 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -64, -57, -45, -42, -16, -8, 10, 21, 76]
</think>

<response>-70, -64, -57, -45, -42, -16, -8, 10, 21, 76</response>


input: Sort the list 25, 73, -45, 41, -85, 37, 56, 87 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [25, 73, -45, 41, -85, 37, 56, 87]

Pass 1:
  Compare 25 and 73
  No swap needed
  Compare 73 and -45
  Swap 73 and -45
  List after swap: [25, -45, 73, 41, -85, 37, 56, 87]
  Compare 73 and 41
  Swap 73 and 41
  List after swap: [25, -45, 41, 73, -85, 37, 56, 87]
  Compare 73 and -85
  Swap 73 and -85
  List after swap: [25, -45, 41, -85, 73, 37, 56, 87]
  Compare 73 and 37
  Swap 73 and 37
  List after swap: [25, -45, 41, -85, 37, 73, 56, 87]
  Compare 73 and 56
  Swap 73 and 56
  List after swap: [25, -45, 41, -85, 37, 56, 73, 87]
  Compare 73 and 87
  No swap needed

Pass 2:
  Compare 25 and -45
  Swap 25 and -45
  List after swap: [-45, 25, 41, -85, 37, 56, 73, 87]
  Compare 25 and 41
  No swap needed
  Compare 41 and -85
  Swap 41 and -85
  List after swap: [-45, 25, -85, 41, 37, 56, 73, 87]
  Compare 41 and 37
  Swap 41 and 37
  List after swap: [-45, 25, -85, 37, 41, 56, 73, 87]
  Compare 41 and 56
  No swap needed
  Compare 56 and 73
  No swap needed

Pass 3:
  Compare -45 and 25
  No swap needed
  Compare 25 and -85
  Swap 25 and -85
  List after swap: [-45, -85, 25, 37, 41, 56, 73, 87]
  Compare 25 and 37
  No swap needed
  Compare 37 and 41
  No swap needed
  Compare 41 and 56
  No swap needed

Pass 4:
  Compare -45 and -85
  Swap -45 and -85
  List after swap: [-85, -45, 25, 37, 41, 56, 73, 87]
  Compare -45 and 25
  No swap needed
  Compare 25 and 37
  No swap needed
  Compare 37 and 41
  No swap needed

Pass 5:
  Compare -85 and -45
  No swap needed
  Compare -45 and 25
  No swap needed
  Compare 25 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -45, 25, 37, 41, 56, 73, 87]
</think>

<response>-85, -45, 25, 37, 41, 56, 73, 87</response>


input: Demonstrate how bubble sort orders the integers 26, 27 in ascending sequence, showing all steps.

output:
<think>
Initial list: [26, 27]

Pass 1:
  Compare 26 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [26, 27]
</think>

<response>26, 27</response>


input: Sort the list -94, -95 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-94, -95]

Pass 1:
  Compare -94 and -95
  Swap -94 and -95
  List after swap: [-95, -94]

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

Final sorted list: [-95, -94]
</think>

<response>-95, -94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 28, -75, -22, 29, -33, -51, 25, -47.

output:
<think>
Initial list: [28, -75, -22, 29, -33, -51, 25, -47]

Pass 1:
  Compare 28 and -75
  Swap 28 and -75
  List after swap: [-75, 28, -22, 29, -33, -51, 25, -47]
  Compare 28 and -22
  Swap 28 and -22
  List after swap: [-75, -22, 28, 29, -33, -51, 25, -47]
  Compare 28 and 29
  No swap needed
  Compare 29 and -33
  Swap 29 and -33
  List after swap: [-75, -22, 28, -33, 29, -51, 25, -47]
  Compare 29 and -51
  Swap 29 and -51
  List after swap: [-75, -22, 28, -33, -51, 29, 25, -47]
  Compare 29 and 25
  Swap 29 and 25
  List after swap: [-75, -22, 28, -33, -51, 25, 29, -47]
  Compare 29 and -47
  Swap 29 and -47
  List after swap: [-75, -22, 28, -33, -51, 25, -47, 29]

Pass 2:
  Compare -75 and -22
  No swap needed
  Compare -22 and 28
  No swap needed
  Compare 28 and -33
  Swap 28 and -33
  List after swap: [-75, -22, -33, 28, -51, 25, -47, 29]
  Compare 28 and -51
  Swap 28 and -51
  List after swap: [-75, -22, -33, -51, 28, 25, -47, 29]
  Compare 28 and 25
  Swap 28 and 25
  List after swap: [-75, -22, -33, -51, 25, 28, -47, 29]
  Compare 28 and -47
  Swap 28 and -47
  List after swap: [-75, -22, -33, -51, 25, -47, 28, 29]

Pass 3:
  Compare -75 and -22
  No swap needed
  Compare -22 and -33
  Swap -22 and -33
  List after swap: [-75, -33, -22, -51, 25, -47, 28, 29]
  Compare -22 and -51
  Swap -22 and -51
  List after swap: [-75, -33, -51, -22, 25, -47, 28, 29]
  Compare -22 and 25
  No swap needed
  Compare 25 and -47
  Swap 25 and -47
  List after swap: [-75, -33, -51, -22, -47, 25, 28, 29]

Pass 4:
  Compare -75 and -33
  No swap needed
  Compare -33 and -51
  Swap -33 and -51
  List after swap: [-75, -51, -33, -22, -47, 25, 28, 29]
  Compare -33 and -22
  No swap needed
  Compare -22 and -47
  Swap -22 and -47
  List after swap: [-75, -51, -33, -47, -22, 25, 28, 29]

Pass 5:
  Compare -75 and -51
  No swap needed
  Compare -51 and -33
  No swap needed
  Compare -33 and -47
  Swap -33 and -47
  List after swap: [-75, -51, -47, -33, -22, 25, 28, 29]

Pass 6:
  Compare -75 and -51
  No swap needed
  Compare -51 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -51, -47, -33, -22, 25, 28, 29]
</think>

<response>-75, -51, -47, -33, -22, 25, 28, 29</response>


input: Use the bubble sort technique to reorder -95, 59, 58, 34, -70, 55, 1, 25, 44 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-95, 59, 58, 34, -70, 55, 1, 25, 44]

Pass 1:
  Compare -95 and 59
  No swap needed
  Compare 59 and 58
  Swap 59 and 58
  List after swap: [-95, 58, 59, 34, -70, 55, 1, 25, 44]
  Compare 59 and 34
  Swap 59 and 34
  List after swap: [-95, 58, 34, 59, -70, 55, 1, 25, 44]
  Compare 59 and -70
  Swap 59 and -70
  List after swap: [-95, 58, 34, -70, 59, 55, 1, 25, 44]
  Compare 59 and 55
  Swap 59 and 55
  List after swap: [-95, 58, 34, -70, 55, 59, 1, 25, 44]
  Compare 59 and 1
  Swap 59 and 1
  List after swap: [-95, 58, 34, -70, 55, 1, 59, 25, 44]
  Compare 59 and 25
  Swap 59 and 25
  List after swap: [-95, 58, 34, -70, 55, 1, 25, 59, 44]
  Compare 59 and 44
  Swap 59 and 44
  List after swap: [-95, 58, 34, -70, 55, 1, 25, 44, 59]

Pass 2:
  Compare -95 and 58
  No swap needed
  Compare 58 and 34
  Swap 58 and 34
  List after swap: [-95, 34, 58, -70, 55, 1, 25, 44, 59]
  Compare 58 and -70
  Swap 58 and -70
  List after swap: [-95, 34, -70, 58, 55, 1, 25, 44, 59]
  Compare 58 and 55
  Swap 58 and 55
  List after swap: [-95, 34, -70, 55, 58, 1, 25, 44, 59]
  Compare 58 and 1
  Swap 58 and 1
  List after swap: [-95, 34, -70, 55, 1, 58, 25, 44, 59]
  Compare 58 and 25
  Swap 58 and 25
  List after swap: [-95, 34, -70, 55, 1, 25, 58, 44, 59]
  Compare 58 and 44
  Swap 58 and 44
  List after swap: [-95, 34, -70, 55, 1, 25, 44, 58, 59]

Pass 3:
  Compare -95 and 34
  No swap needed
  Compare 34 and -70
  Swap 34 and -70
  List after swap: [-95, -70, 34, 55, 1, 25, 44, 58, 59]
  Compare 34 and 55
  No swap needed
  Compare 55 and 1
  Swap 55 and 1
  List after swap: [-95, -70, 34, 1, 55, 25, 44, 58, 59]
  Compare 55 and 25
  Swap 55 and 25
  List after swap: [-95, -70, 34, 1, 25, 55, 44, 58, 59]
  Compare 55 and 44
  Swap 55 and 44
  List after swap: [-95, -70, 34, 1, 25, 44, 55, 58, 59]

Pass 4:
  Compare -95 and -70
  No swap needed
  Compare -70 and 34
  No swap needed
  Compare 34 and 1
  Swap 34 and 1
  List after swap: [-95, -70, 1, 34, 25, 44, 55, 58, 59]
  Compare 34 and 25
  Swap 34 and 25
  List after swap: [-95, -70, 1, 25, 34, 44, 55, 58, 59]
  Compare 34 and 44
  No swap needed

Pass 5:
  Compare -95 and -70
  No swap needed
  Compare -70 and 1
  No swap needed
  Compare 1 and 25
  No swap needed
  Compare 25 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -70, 1, 25, 34, 44, 55, 58, 59]
</think>

<response>-95, -70, 1, 25, 34, 44, 55, 58, 59</response>


input: Using the bubble sort method, sort 39, 13 from lowest to highest and provide a step-by-step breakdown.

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

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

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

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

<response>13, 39</response>