input: Using the bubble sort method, sort -100, 49, -17, 91, 8, 21 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-100, 49, -17, 91, 8, 21]

Pass 1:
  Compare -100 and 49
  No swap needed
  Compare 49 and -17
  Swap 49 and -17
  List after swap: [-100, -17, 49, 91, 8, 21]
  Compare 49 and 91
  No swap needed
  Compare 91 and 8
  Swap 91 and 8
  List after swap: [-100, -17, 49, 8, 91, 21]
  Compare 91 and 21
  Swap 91 and 21
  List after swap: [-100, -17, 49, 8, 21, 91]

Pass 2:
  Compare -100 and -17
  No swap needed
  Compare -17 and 49
  No swap needed
  Compare 49 and 8
  Swap 49 and 8
  List after swap: [-100, -17, 8, 49, 21, 91]
  Compare 49 and 21
  Swap 49 and 21
  List after swap: [-100, -17, 8, 21, 49, 91]

Pass 3:
  Compare -100 and -17
  No swap needed
  Compare -17 and 8
  No swap needed
  Compare 8 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -17, 8, 21, 49, 91]
</think>

<response>-100, -17, 8, 21, 49, 91</response>


input: Sort the list -64, 5, 11, 35, 22, -94, -32 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-64, 5, 11, 35, 22, -94, -32]

Pass 1:
  Compare -64 and 5
  No swap needed
  Compare 5 and 11
  No swap needed
  Compare 11 and 35
  No swap needed
  Compare 35 and 22
  Swap 35 and 22
  List after swap: [-64, 5, 11, 22, 35, -94, -32]
  Compare 35 and -94
  Swap 35 and -94
  List after swap: [-64, 5, 11, 22, -94, 35, -32]
  Compare 35 and -32
  Swap 35 and -32
  List after swap: [-64, 5, 11, 22, -94, -32, 35]

Pass 2:
  Compare -64 and 5
  No swap needed
  Compare 5 and 11
  No swap needed
  Compare 11 and 22
  No swap needed
  Compare 22 and -94
  Swap 22 and -94
  List after swap: [-64, 5, 11, -94, 22, -32, 35]
  Compare 22 and -32
  Swap 22 and -32
  List after swap: [-64, 5, 11, -94, -32, 22, 35]

Pass 3:
  Compare -64 and 5
  No swap needed
  Compare 5 and 11
  No swap needed
  Compare 11 and -94
  Swap 11 and -94
  List after swap: [-64, 5, -94, 11, -32, 22, 35]
  Compare 11 and -32
  Swap 11 and -32
  List after swap: [-64, 5, -94, -32, 11, 22, 35]

Pass 4:
  Compare -64 and 5
  No swap needed
  Compare 5 and -94
  Swap 5 and -94
  List after swap: [-64, -94, 5, -32, 11, 22, 35]
  Compare 5 and -32
  Swap 5 and -32
  List after swap: [-64, -94, -32, 5, 11, 22, 35]

Pass 5:
  Compare -64 and -94
  Swap -64 and -94
  List after swap: [-94, -64, -32, 5, 11, 22, 35]
  Compare -64 and -32
  No swap needed

Pass 6:
  Compare -94 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -64, -32, 5, 11, 22, 35]
</think>

<response>-94, -64, -32, 5, 11, 22, 35</response>


input: Using the bubble sort method, sort -87, -21, 89, 30, 3, -52, 70 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-87, -21, 89, 30, 3, -52, 70]

Pass 1:
  Compare -87 and -21
  No swap needed
  Compare -21 and 89
  No swap needed
  Compare 89 and 30
  Swap 89 and 30
  List after swap: [-87, -21, 30, 89, 3, -52, 70]
  Compare 89 and 3
  Swap 89 and 3
  List after swap: [-87, -21, 30, 3, 89, -52, 70]
  Compare 89 and -52
  Swap 89 and -52
  List after swap: [-87, -21, 30, 3, -52, 89, 70]
  Compare 89 and 70
  Swap 89 and 70
  List after swap: [-87, -21, 30, 3, -52, 70, 89]

Pass 2:
  Compare -87 and -21
  No swap needed
  Compare -21 and 30
  No swap needed
  Compare 30 and 3
  Swap 30 and 3
  List after swap: [-87, -21, 3, 30, -52, 70, 89]
  Compare 30 and -52
  Swap 30 and -52
  List after swap: [-87, -21, 3, -52, 30, 70, 89]
  Compare 30 and 70
  No swap needed

Pass 3:
  Compare -87 and -21
  No swap needed
  Compare -21 and 3
  No swap needed
  Compare 3 and -52
  Swap 3 and -52
  List after swap: [-87, -21, -52, 3, 30, 70, 89]
  Compare 3 and 30
  No swap needed

Pass 4:
  Compare -87 and -21
  No swap needed
  Compare -21 and -52
  Swap -21 and -52
  List after swap: [-87, -52, -21, 3, 30, 70, 89]
  Compare -21 and 3
  No swap needed

Pass 5:
  Compare -87 and -52
  No swap needed
  Compare -52 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -52, -21, 3, 30, 70, 89]
</think>

<response>-87, -52, -21, 3, 30, 70, 89</response>


input: Sort these integers -39, 39, 15, -67, -9, 36, 45 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-39, 39, 15, -67, -9, 36, 45]

Pass 1:
  Compare -39 and 39
  No swap needed
  Compare 39 and 15
  Swap 39 and 15
  List after swap: [-39, 15, 39, -67, -9, 36, 45]
  Compare 39 and -67
  Swap 39 and -67
  List after swap: [-39, 15, -67, 39, -9, 36, 45]
  Compare 39 and -9
  Swap 39 and -9
  List after swap: [-39, 15, -67, -9, 39, 36, 45]
  Compare 39 and 36
  Swap 39 and 36
  List after swap: [-39, 15, -67, -9, 36, 39, 45]
  Compare 39 and 45
  No swap needed

Pass 2:
  Compare -39 and 15
  No swap needed
  Compare 15 and -67
  Swap 15 and -67
  List after swap: [-39, -67, 15, -9, 36, 39, 45]
  Compare 15 and -9
  Swap 15 and -9
  List after swap: [-39, -67, -9, 15, 36, 39, 45]
  Compare 15 and 36
  No swap needed
  Compare 36 and 39
  No swap needed

Pass 3:
  Compare -39 and -67
  Swap -39 and -67
  List after swap: [-67, -39, -9, 15, 36, 39, 45]
  Compare -39 and -9
  No swap needed
  Compare -9 and 15
  No swap needed
  Compare 15 and 36
  No swap needed

Pass 4:
  Compare -67 and -39
  No swap needed
  Compare -39 and -9
  No swap needed
  Compare -9 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -39, -9, 15, 36, 39, 45]
</think>

<response>-67, -39, -9, 15, 36, 39, 45</response>


input: Demonstrate how bubble sort orders the integers -41, 25, 90, -90, -36, -65, -25, -74, 13 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-41, 25, 90, -90, -36, -65, -25, -74, 13]

Pass 1:
  Compare -41 and 25
  No swap needed
  Compare 25 and 90
  No swap needed
  Compare 90 and -90
  Swap 90 and -90
  List after swap: [-41, 25, -90, 90, -36, -65, -25, -74, 13]
  Compare 90 and -36
  Swap 90 and -36
  List after swap: [-41, 25, -90, -36, 90, -65, -25, -74, 13]
  Compare 90 and -65
  Swap 90 and -65
  List after swap: [-41, 25, -90, -36, -65, 90, -25, -74, 13]
  Compare 90 and -25
  Swap 90 and -25
  List after swap: [-41, 25, -90, -36, -65, -25, 90, -74, 13]
  Compare 90 and -74
  Swap 90 and -74
  List after swap: [-41, 25, -90, -36, -65, -25, -74, 90, 13]
  Compare 90 and 13
  Swap 90 and 13
  List after swap: [-41, 25, -90, -36, -65, -25, -74, 13, 90]

Pass 2:
  Compare -41 and 25
  No swap needed
  Compare 25 and -90
  Swap 25 and -90
  List after swap: [-41, -90, 25, -36, -65, -25, -74, 13, 90]
  Compare 25 and -36
  Swap 25 and -36
  List after swap: [-41, -90, -36, 25, -65, -25, -74, 13, 90]
  Compare 25 and -65
  Swap 25 and -65
  List after swap: [-41, -90, -36, -65, 25, -25, -74, 13, 90]
  Compare 25 and -25
  Swap 25 and -25
  List after swap: [-41, -90, -36, -65, -25, 25, -74, 13, 90]
  Compare 25 and -74
  Swap 25 and -74
  List after swap: [-41, -90, -36, -65, -25, -74, 25, 13, 90]
  Compare 25 and 13
  Swap 25 and 13
  List after swap: [-41, -90, -36, -65, -25, -74, 13, 25, 90]

Pass 3:
  Compare -41 and -90
  Swap -41 and -90
  List after swap: [-90, -41, -36, -65, -25, -74, 13, 25, 90]
  Compare -41 and -36
  No swap needed
  Compare -36 and -65
  Swap -36 and -65
  List after swap: [-90, -41, -65, -36, -25, -74, 13, 25, 90]
  Compare -36 and -25
  No swap needed
  Compare -25 and -74
  Swap -25 and -74
  List after swap: [-90, -41, -65, -36, -74, -25, 13, 25, 90]
  Compare -25 and 13
  No swap needed

Pass 4:
  Compare -90 and -41
  No swap needed
  Compare -41 and -65
  Swap -41 and -65
  List after swap: [-90, -65, -41, -36, -74, -25, 13, 25, 90]
  Compare -41 and -36
  No swap needed
  Compare -36 and -74
  Swap -36 and -74
  List after swap: [-90, -65, -41, -74, -36, -25, 13, 25, 90]
  Compare -36 and -25
  No swap needed

Pass 5:
  Compare -90 and -65
  No swap needed
  Compare -65 and -41
  No swap needed
  Compare -41 and -74
  Swap -41 and -74
  List after swap: [-90, -65, -74, -41, -36, -25, 13, 25, 90]
  Compare -41 and -36
  No swap needed

Pass 6:
  Compare -90 and -65
  No swap needed
  Compare -65 and -74
  Swap -65 and -74
  List after swap: [-90, -74, -65, -41, -36, -25, 13, 25, 90]
  Compare -65 and -41
  No swap needed

Pass 7:
  Compare -90 and -74
  No swap needed
  Compare -74 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -74, -65, -41, -36, -25, 13, 25, 90]
</think>

<response>-90, -74, -65, -41, -36, -25, 13, 25, 90</response>


input: Perform a bubble sort on the integers -7, 70, -57, 3, 30, 56, 4, -4, 71, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-7, 70, -57, 3, 30, 56, 4, -4, 71]

Pass 1:
  Compare -7 and 70
  No swap needed
  Compare 70 and -57
  Swap 70 and -57
  List after swap: [-7, -57, 70, 3, 30, 56, 4, -4, 71]
  Compare 70 and 3
  Swap 70 and 3
  List after swap: [-7, -57, 3, 70, 30, 56, 4, -4, 71]
  Compare 70 and 30
  Swap 70 and 30
  List after swap: [-7, -57, 3, 30, 70, 56, 4, -4, 71]
  Compare 70 and 56
  Swap 70 and 56
  List after swap: [-7, -57, 3, 30, 56, 70, 4, -4, 71]
  Compare 70 and 4
  Swap 70 and 4
  List after swap: [-7, -57, 3, 30, 56, 4, 70, -4, 71]
  Compare 70 and -4
  Swap 70 and -4
  List after swap: [-7, -57, 3, 30, 56, 4, -4, 70, 71]
  Compare 70 and 71
  No swap needed

Pass 2:
  Compare -7 and -57
  Swap -7 and -57
  List after swap: [-57, -7, 3, 30, 56, 4, -4, 70, 71]
  Compare -7 and 3
  No swap needed
  Compare 3 and 30
  No swap needed
  Compare 30 and 56
  No swap needed
  Compare 56 and 4
  Swap 56 and 4
  List after swap: [-57, -7, 3, 30, 4, 56, -4, 70, 71]
  Compare 56 and -4
  Swap 56 and -4
  List after swap: [-57, -7, 3, 30, 4, -4, 56, 70, 71]
  Compare 56 and 70
  No swap needed

Pass 3:
  Compare -57 and -7
  No swap needed
  Compare -7 and 3
  No swap needed
  Compare 3 and 30
  No swap needed
  Compare 30 and 4
  Swap 30 and 4
  List after swap: [-57, -7, 3, 4, 30, -4, 56, 70, 71]
  Compare 30 and -4
  Swap 30 and -4
  List after swap: [-57, -7, 3, 4, -4, 30, 56, 70, 71]
  Compare 30 and 56
  No swap needed

Pass 4:
  Compare -57 and -7
  No swap needed
  Compare -7 and 3
  No swap needed
  Compare 3 and 4
  No swap needed
  Compare 4 and -4
  Swap 4 and -4
  List after swap: [-57, -7, 3, -4, 4, 30, 56, 70, 71]
  Compare 4 and 30
  No swap needed

Pass 5:
  Compare -57 and -7
  No swap needed
  Compare -7 and 3
  No swap needed
  Compare 3 and -4
  Swap 3 and -4
  List after swap: [-57, -7, -4, 3, 4, 30, 56, 70, 71]
  Compare 3 and 4
  No swap needed

Pass 6:
  Compare -57 and -7
  No swap needed
  Compare -7 and -4
  No swap needed
  Compare -4 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -7, -4, 3, 4, 30, 56, 70, 71]
</think>

<response>-57, -7, -4, 3, 4, 30, 56, 70, 71</response>


input: Sort these integers 86, -19, 28, -11, 37, -56 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [86, -19, 28, -11, 37, -56]

Pass 1:
  Compare 86 and -19
  Swap 86 and -19
  List after swap: [-19, 86, 28, -11, 37, -56]
  Compare 86 and 28
  Swap 86 and 28
  List after swap: [-19, 28, 86, -11, 37, -56]
  Compare 86 and -11
  Swap 86 and -11
  List after swap: [-19, 28, -11, 86, 37, -56]
  Compare 86 and 37
  Swap 86 and 37
  List after swap: [-19, 28, -11, 37, 86, -56]
  Compare 86 and -56
  Swap 86 and -56
  List after swap: [-19, 28, -11, 37, -56, 86]

Pass 2:
  Compare -19 and 28
  No swap needed
  Compare 28 and -11
  Swap 28 and -11
  List after swap: [-19, -11, 28, 37, -56, 86]
  Compare 28 and 37
  No swap needed
  Compare 37 and -56
  Swap 37 and -56
  List after swap: [-19, -11, 28, -56, 37, 86]

Pass 3:
  Compare -19 and -11
  No swap needed
  Compare -11 and 28
  No swap needed
  Compare 28 and -56
  Swap 28 and -56
  List after swap: [-19, -11, -56, 28, 37, 86]

Pass 4:
  Compare -19 and -11
  No swap needed
  Compare -11 and -56
  Swap -11 and -56
  List after swap: [-19, -56, -11, 28, 37, 86]

Pass 5:
  Compare -19 and -56
  Swap -19 and -56
  List after swap: [-56, -19, -11, 28, 37, 86]

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

Final sorted list: [-56, -19, -11, 28, 37, 86]
</think>

<response>-56, -19, -11, 28, 37, 86</response>


input: Sort the list -76, -11, 15, -79, 94, 4, -100, -34, -26, 42 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-76, -11, 15, -79, 94, 4, -100, -34, -26, 42]

Pass 1:
  Compare -76 and -11
  No swap needed
  Compare -11 and 15
  No swap needed
  Compare 15 and -79
  Swap 15 and -79
  List after swap: [-76, -11, -79, 15, 94, 4, -100, -34, -26, 42]
  Compare 15 and 94
  No swap needed
  Compare 94 and 4
  Swap 94 and 4
  List after swap: [-76, -11, -79, 15, 4, 94, -100, -34, -26, 42]
  Compare 94 and -100
  Swap 94 and -100
  List after swap: [-76, -11, -79, 15, 4, -100, 94, -34, -26, 42]
  Compare 94 and -34
  Swap 94 and -34
  List after swap: [-76, -11, -79, 15, 4, -100, -34, 94, -26, 42]
  Compare 94 and -26
  Swap 94 and -26
  List after swap: [-76, -11, -79, 15, 4, -100, -34, -26, 94, 42]
  Compare 94 and 42
  Swap 94 and 42
  List after swap: [-76, -11, -79, 15, 4, -100, -34, -26, 42, 94]

Pass 2:
  Compare -76 and -11
  No swap needed
  Compare -11 and -79
  Swap -11 and -79
  List after swap: [-76, -79, -11, 15, 4, -100, -34, -26, 42, 94]
  Compare -11 and 15
  No swap needed
  Compare 15 and 4
  Swap 15 and 4
  List after swap: [-76, -79, -11, 4, 15, -100, -34, -26, 42, 94]
  Compare 15 and -100
  Swap 15 and -100
  List after swap: [-76, -79, -11, 4, -100, 15, -34, -26, 42, 94]
  Compare 15 and -34
  Swap 15 and -34
  List after swap: [-76, -79, -11, 4, -100, -34, 15, -26, 42, 94]
  Compare 15 and -26
  Swap 15 and -26
  List after swap: [-76, -79, -11, 4, -100, -34, -26, 15, 42, 94]
  Compare 15 and 42
  No swap needed

Pass 3:
  Compare -76 and -79
  Swap -76 and -79
  List after swap: [-79, -76, -11, 4, -100, -34, -26, 15, 42, 94]
  Compare -76 and -11
  No swap needed
  Compare -11 and 4
  No swap needed
  Compare 4 and -100
  Swap 4 and -100
  List after swap: [-79, -76, -11, -100, 4, -34, -26, 15, 42, 94]
  Compare 4 and -34
  Swap 4 and -34
  List after swap: [-79, -76, -11, -100, -34, 4, -26, 15, 42, 94]
  Compare 4 and -26
  Swap 4 and -26
  List after swap: [-79, -76, -11, -100, -34, -26, 4, 15, 42, 94]
  Compare 4 and 15
  No swap needed

Pass 4:
  Compare -79 and -76
  No swap needed
  Compare -76 and -11
  No swap needed
  Compare -11 and -100
  Swap -11 and -100
  List after swap: [-79, -76, -100, -11, -34, -26, 4, 15, 42, 94]
  Compare -11 and -34
  Swap -11 and -34
  List after swap: [-79, -76, -100, -34, -11, -26, 4, 15, 42, 94]
  Compare -11 and -26
  Swap -11 and -26
  List after swap: [-79, -76, -100, -34, -26, -11, 4, 15, 42, 94]
  Compare -11 and 4
  No swap needed

Pass 5:
  Compare -79 and -76
  No swap needed
  Compare -76 and -100
  Swap -76 and -100
  List after swap: [-79, -100, -76, -34, -26, -11, 4, 15, 42, 94]
  Compare -76 and -34
  No swap needed
  Compare -34 and -26
  No swap needed
  Compare -26 and -11
  No swap needed

Pass 6:
  Compare -79 and -100
  Swap -79 and -100
  List after swap: [-100, -79, -76, -34, -26, -11, 4, 15, 42, 94]
  Compare -79 and -76
  No swap needed
  Compare -76 and -34
  No swap needed
  Compare -34 and -26
  No swap needed

Pass 7:
  Compare -100 and -79
  No swap needed
  Compare -79 and -76
  No swap needed
  Compare -76 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -79, -76, -34, -26, -11, 4, 15, 42, 94]
</think>

<response>-100, -79, -76, -34, -26, -11, 4, 15, 42, 94</response>


input: Execute bubble sort to sort -32, -91, -79, -23, -89, -59, 11 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-32, -91, -79, -23, -89, -59, 11]

Pass 1:
  Compare -32 and -91
  Swap -32 and -91
  List after swap: [-91, -32, -79, -23, -89, -59, 11]
  Compare -32 and -79
  Swap -32 and -79
  List after swap: [-91, -79, -32, -23, -89, -59, 11]
  Compare -32 and -23
  No swap needed
  Compare -23 and -89
  Swap -23 and -89
  List after swap: [-91, -79, -32, -89, -23, -59, 11]
  Compare -23 and -59
  Swap -23 and -59
  List after swap: [-91, -79, -32, -89, -59, -23, 11]
  Compare -23 and 11
  No swap needed

Pass 2:
  Compare -91 and -79
  No swap needed
  Compare -79 and -32
  No swap needed
  Compare -32 and -89
  Swap -32 and -89
  List after swap: [-91, -79, -89, -32, -59, -23, 11]
  Compare -32 and -59
  Swap -32 and -59
  List after swap: [-91, -79, -89, -59, -32, -23, 11]
  Compare -32 and -23
  No swap needed

Pass 3:
  Compare -91 and -79
  No swap needed
  Compare -79 and -89
  Swap -79 and -89
  List after swap: [-91, -89, -79, -59, -32, -23, 11]
  Compare -79 and -59
  No swap needed
  Compare -59 and -32
  No swap needed

Pass 4:
  Compare -91 and -89
  No swap needed
  Compare -89 and -79
  No swap needed
  Compare -79 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -89, -79, -59, -32, -23, 11]
</think>

<response>-91, -89, -79, -59, -32, -23, 11</response>


input: Perform a bubble sort on the integers -43, 83, -69, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-43, 83, -69]

Pass 1:
  Compare -43 and 83
  No swap needed
  Compare 83 and -69
  Swap 83 and -69
  List after swap: [-43, -69, 83]

Pass 2:
  Compare -43 and -69
  Swap -43 and -69
  List after swap: [-69, -43, 83]

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

Final sorted list: [-69, -43, 83]
</think>

<response>-69, -43, 83</response>


input: Carry out the bubble sort algorithm on 33, -4, 99, 12, 22, 71 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [33, -4, 99, 12, 22, 71]

Pass 1:
  Compare 33 and -4
  Swap 33 and -4
  List after swap: [-4, 33, 99, 12, 22, 71]
  Compare 33 and 99
  No swap needed
  Compare 99 and 12
  Swap 99 and 12
  List after swap: [-4, 33, 12, 99, 22, 71]
  Compare 99 and 22
  Swap 99 and 22
  List after swap: [-4, 33, 12, 22, 99, 71]
  Compare 99 and 71
  Swap 99 and 71
  List after swap: [-4, 33, 12, 22, 71, 99]

Pass 2:
  Compare -4 and 33
  No swap needed
  Compare 33 and 12
  Swap 33 and 12
  List after swap: [-4, 12, 33, 22, 71, 99]
  Compare 33 and 22
  Swap 33 and 22
  List after swap: [-4, 12, 22, 33, 71, 99]
  Compare 33 and 71
  No swap needed

Pass 3:
  Compare -4 and 12
  No swap needed
  Compare 12 and 22
  No swap needed
  Compare 22 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-4, 12, 22, 33, 71, 99]
</think>

<response>-4, 12, 22, 33, 71, 99</response>


input: Implement bubble sort on 83, -60, -3 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [83, -60, -3]

Pass 1:
  Compare 83 and -60
  Swap 83 and -60
  List after swap: [-60, 83, -3]
  Compare 83 and -3
  Swap 83 and -3
  List after swap: [-60, -3, 83]

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

Final sorted list: [-60, -3, 83]
</think>

<response>-60, -3, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -84, 62, 49, 50, 65.

output:
<think>
Initial list: [-84, 62, 49, 50, 65]

Pass 1:
  Compare -84 and 62
  No swap needed
  Compare 62 and 49
  Swap 62 and 49
  List after swap: [-84, 49, 62, 50, 65]
  Compare 62 and 50
  Swap 62 and 50
  List after swap: [-84, 49, 50, 62, 65]
  Compare 62 and 65
  No swap needed

Pass 2:
  Compare -84 and 49
  No swap needed
  Compare 49 and 50
  No swap needed
  Compare 50 and 62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, 49, 50, 62, 65]
</think>

<response>-84, 49, 50, 62, 65</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 6, 28, 87, -43, 55, -87, 42, -32, 75, 13.

output:
<think>
Initial list: [6, 28, 87, -43, 55, -87, 42, -32, 75, 13]

Pass 1:
  Compare 6 and 28
  No swap needed
  Compare 28 and 87
  No swap needed
  Compare 87 and -43
  Swap 87 and -43
  List after swap: [6, 28, -43, 87, 55, -87, 42, -32, 75, 13]
  Compare 87 and 55
  Swap 87 and 55
  List after swap: [6, 28, -43, 55, 87, -87, 42, -32, 75, 13]
  Compare 87 and -87
  Swap 87 and -87
  List after swap: [6, 28, -43, 55, -87, 87, 42, -32, 75, 13]
  Compare 87 and 42
  Swap 87 and 42
  List after swap: [6, 28, -43, 55, -87, 42, 87, -32, 75, 13]
  Compare 87 and -32
  Swap 87 and -32
  List after swap: [6, 28, -43, 55, -87, 42, -32, 87, 75, 13]
  Compare 87 and 75
  Swap 87 and 75
  List after swap: [6, 28, -43, 55, -87, 42, -32, 75, 87, 13]
  Compare 87 and 13
  Swap 87 and 13
  List after swap: [6, 28, -43, 55, -87, 42, -32, 75, 13, 87]

Pass 2:
  Compare 6 and 28
  No swap needed
  Compare 28 and -43
  Swap 28 and -43
  List after swap: [6, -43, 28, 55, -87, 42, -32, 75, 13, 87]
  Compare 28 and 55
  No swap needed
  Compare 55 and -87
  Swap 55 and -87
  List after swap: [6, -43, 28, -87, 55, 42, -32, 75, 13, 87]
  Compare 55 and 42
  Swap 55 and 42
  List after swap: [6, -43, 28, -87, 42, 55, -32, 75, 13, 87]
  Compare 55 and -32
  Swap 55 and -32
  List after swap: [6, -43, 28, -87, 42, -32, 55, 75, 13, 87]
  Compare 55 and 75
  No swap needed
  Compare 75 and 13
  Swap 75 and 13
  List after swap: [6, -43, 28, -87, 42, -32, 55, 13, 75, 87]

Pass 3:
  Compare 6 and -43
  Swap 6 and -43
  List after swap: [-43, 6, 28, -87, 42, -32, 55, 13, 75, 87]
  Compare 6 and 28
  No swap needed
  Compare 28 and -87
  Swap 28 and -87
  List after swap: [-43, 6, -87, 28, 42, -32, 55, 13, 75, 87]
  Compare 28 and 42
  No swap needed
  Compare 42 and -32
  Swap 42 and -32
  List after swap: [-43, 6, -87, 28, -32, 42, 55, 13, 75, 87]
  Compare 42 and 55
  No swap needed
  Compare 55 and 13
  Swap 55 and 13
  List after swap: [-43, 6, -87, 28, -32, 42, 13, 55, 75, 87]

Pass 4:
  Compare -43 and 6
  No swap needed
  Compare 6 and -87
  Swap 6 and -87
  List after swap: [-43, -87, 6, 28, -32, 42, 13, 55, 75, 87]
  Compare 6 and 28
  No swap needed
  Compare 28 and -32
  Swap 28 and -32
  List after swap: [-43, -87, 6, -32, 28, 42, 13, 55, 75, 87]
  Compare 28 and 42
  No swap needed
  Compare 42 and 13
  Swap 42 and 13
  List after swap: [-43, -87, 6, -32, 28, 13, 42, 55, 75, 87]

Pass 5:
  Compare -43 and -87
  Swap -43 and -87
  List after swap: [-87, -43, 6, -32, 28, 13, 42, 55, 75, 87]
  Compare -43 and 6
  No swap needed
  Compare 6 and -32
  Swap 6 and -32
  List after swap: [-87, -43, -32, 6, 28, 13, 42, 55, 75, 87]
  Compare 6 and 28
  No swap needed
  Compare 28 and 13
  Swap 28 and 13
  List after swap: [-87, -43, -32, 6, 13, 28, 42, 55, 75, 87]

Pass 6:
  Compare -87 and -43
  No swap needed
  Compare -43 and -32
  No swap needed
  Compare -32 and 6
  No swap needed
  Compare 6 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -43, -32, 6, 13, 28, 42, 55, 75, 87]
</think>

<response>-87, -43, -32, 6, 13, 28, 42, 55, 75, 87</response>


input: Execute bubble sort to sort 78, -84, 45 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [78, -84, 45]

Pass 1:
  Compare 78 and -84
  Swap 78 and -84
  List after swap: [-84, 78, 45]
  Compare 78 and 45
  Swap 78 and 45
  List after swap: [-84, 45, 78]

Pass 2:
  Compare -84 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, 45, 78]
</think>

<response>-84, 45, 78</response>


input: Carry out the bubble sort algorithm on -10, 40, -57, -5 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-10, 40, -57, -5]

Pass 1:
  Compare -10 and 40
  No swap needed
  Compare 40 and -57
  Swap 40 and -57
  List after swap: [-10, -57, 40, -5]
  Compare 40 and -5
  Swap 40 and -5
  List after swap: [-10, -57, -5, 40]

Pass 2:
  Compare -10 and -57
  Swap -10 and -57
  List after swap: [-57, -10, -5, 40]
  Compare -10 and -5
  No swap needed

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

Final sorted list: [-57, -10, -5, 40]
</think>

<response>-57, -10, -5, 40</response>


input: Execute bubble sort to sort 61, -3, -91, -60, -63, -97, -77, 90 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [61, -3, -91, -60, -63, -97, -77, 90]

Pass 1:
  Compare 61 and -3
  Swap 61 and -3
  List after swap: [-3, 61, -91, -60, -63, -97, -77, 90]
  Compare 61 and -91
  Swap 61 and -91
  List after swap: [-3, -91, 61, -60, -63, -97, -77, 90]
  Compare 61 and -60
  Swap 61 and -60
  List after swap: [-3, -91, -60, 61, -63, -97, -77, 90]
  Compare 61 and -63
  Swap 61 and -63
  List after swap: [-3, -91, -60, -63, 61, -97, -77, 90]
  Compare 61 and -97
  Swap 61 and -97
  List after swap: [-3, -91, -60, -63, -97, 61, -77, 90]
  Compare 61 and -77
  Swap 61 and -77
  List after swap: [-3, -91, -60, -63, -97, -77, 61, 90]
  Compare 61 and 90
  No swap needed

Pass 2:
  Compare -3 and -91
  Swap -3 and -91
  List after swap: [-91, -3, -60, -63, -97, -77, 61, 90]
  Compare -3 and -60
  Swap -3 and -60
  List after swap: [-91, -60, -3, -63, -97, -77, 61, 90]
  Compare -3 and -63
  Swap -3 and -63
  List after swap: [-91, -60, -63, -3, -97, -77, 61, 90]
  Compare -3 and -97
  Swap -3 and -97
  List after swap: [-91, -60, -63, -97, -3, -77, 61, 90]
  Compare -3 and -77
  Swap -3 and -77
  List after swap: [-91, -60, -63, -97, -77, -3, 61, 90]
  Compare -3 and 61
  No swap needed

Pass 3:
  Compare -91 and -60
  No swap needed
  Compare -60 and -63
  Swap -60 and -63
  List after swap: [-91, -63, -60, -97, -77, -3, 61, 90]
  Compare -60 and -97
  Swap -60 and -97
  List after swap: [-91, -63, -97, -60, -77, -3, 61, 90]
  Compare -60 and -77
  Swap -60 and -77
  List after swap: [-91, -63, -97, -77, -60, -3, 61, 90]
  Compare -60 and -3
  No swap needed

Pass 4:
  Compare -91 and -63
  No swap needed
  Compare -63 and -97
  Swap -63 and -97
  List after swap: [-91, -97, -63, -77, -60, -3, 61, 90]
  Compare -63 and -77
  Swap -63 and -77
  List after swap: [-91, -97, -77, -63, -60, -3, 61, 90]
  Compare -63 and -60
  No swap needed

Pass 5:
  Compare -91 and -97
  Swap -91 and -97
  List after swap: [-97, -91, -77, -63, -60, -3, 61, 90]
  Compare -91 and -77
  No swap needed
  Compare -77 and -63
  No swap needed

Pass 6:
  Compare -97 and -91
  No swap needed
  Compare -91 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -91, -77, -63, -60, -3, 61, 90]
</think>

<response>-97, -91, -77, -63, -60, -3, 61, 90</response>


input: Using the bubble sort method, sort 13, 66, -29 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [13, 66, -29]

Pass 1:
  Compare 13 and 66
  No swap needed
  Compare 66 and -29
  Swap 66 and -29
  List after swap: [13, -29, 66]

Pass 2:
  Compare 13 and -29
  Swap 13 and -29
  List after swap: [-29, 13, 66]

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

Final sorted list: [-29, 13, 66]
</think>

<response>-29, 13, 66</response>


input: Perform a bubble sort on the integers 19, -96, -57, 25, -63, -85, 20, 38, 94, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [19, -96, -57, 25, -63, -85, 20, 38, 94]

Pass 1:
  Compare 19 and -96
  Swap 19 and -96
  List after swap: [-96, 19, -57, 25, -63, -85, 20, 38, 94]
  Compare 19 and -57
  Swap 19 and -57
  List after swap: [-96, -57, 19, 25, -63, -85, 20, 38, 94]
  Compare 19 and 25
  No swap needed
  Compare 25 and -63
  Swap 25 and -63
  List after swap: [-96, -57, 19, -63, 25, -85, 20, 38, 94]
  Compare 25 and -85
  Swap 25 and -85
  List after swap: [-96, -57, 19, -63, -85, 25, 20, 38, 94]
  Compare 25 and 20
  Swap 25 and 20
  List after swap: [-96, -57, 19, -63, -85, 20, 25, 38, 94]
  Compare 25 and 38
  No swap needed
  Compare 38 and 94
  No swap needed

Pass 2:
  Compare -96 and -57
  No swap needed
  Compare -57 and 19
  No swap needed
  Compare 19 and -63
  Swap 19 and -63
  List after swap: [-96, -57, -63, 19, -85, 20, 25, 38, 94]
  Compare 19 and -85
  Swap 19 and -85
  List after swap: [-96, -57, -63, -85, 19, 20, 25, 38, 94]
  Compare 19 and 20
  No swap needed
  Compare 20 and 25
  No swap needed
  Compare 25 and 38
  No swap needed

Pass 3:
  Compare -96 and -57
  No swap needed
  Compare -57 and -63
  Swap -57 and -63
  List after swap: [-96, -63, -57, -85, 19, 20, 25, 38, 94]
  Compare -57 and -85
  Swap -57 and -85
  List after swap: [-96, -63, -85, -57, 19, 20, 25, 38, 94]
  Compare -57 and 19
  No swap needed
  Compare 19 and 20
  No swap needed
  Compare 20 and 25
  No swap needed

Pass 4:
  Compare -96 and -63
  No swap needed
  Compare -63 and -85
  Swap -63 and -85
  List after swap: [-96, -85, -63, -57, 19, 20, 25, 38, 94]
  Compare -63 and -57
  No swap needed
  Compare -57 and 19
  No swap needed
  Compare 19 and 20
  No swap needed

Pass 5:
  Compare -96 and -85
  No swap needed
  Compare -85 and -63
  No swap needed
  Compare -63 and -57
  No swap needed
  Compare -57 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -85, -63, -57, 19, 20, 25, 38, 94]
</think>

<response>-96, -85, -63, -57, 19, 20, 25, 38, 94</response>


input: Sort the list -20, 68, -38, -2 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-20, 68, -38, -2]

Pass 1:
  Compare -20 and 68
  No swap needed
  Compare 68 and -38
  Swap 68 and -38
  List after swap: [-20, -38, 68, -2]
  Compare 68 and -2
  Swap 68 and -2
  List after swap: [-20, -38, -2, 68]

Pass 2:
  Compare -20 and -38
  Swap -20 and -38
  List after swap: [-38, -20, -2, 68]
  Compare -20 and -2
  No swap needed

Pass 3:
  Compare -38 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, -20, -2, 68]
</think>

<response>-38, -20, -2, 68</response>


input: Sort these integers -36, -16, -91, -2 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-36, -16, -91, -2]

Pass 1:
  Compare -36 and -16
  No swap needed
  Compare -16 and -91
  Swap -16 and -91
  List after swap: [-36, -91, -16, -2]
  Compare -16 and -2
  No swap needed

Pass 2:
  Compare -36 and -91
  Swap -36 and -91
  List after swap: [-91, -36, -16, -2]
  Compare -36 and -16
  No swap needed

Pass 3:
  Compare -91 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -36, -16, -2]
</think>

<response>-91, -36, -16, -2</response>


input: Arrange the numbers 38, 11, -91, -92, -17, -75, 81, 93, -30, 67 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [38, 11, -91, -92, -17, -75, 81, 93, -30, 67]

Pass 1:
  Compare 38 and 11
  Swap 38 and 11
  List after swap: [11, 38, -91, -92, -17, -75, 81, 93, -30, 67]
  Compare 38 and -91
  Swap 38 and -91
  List after swap: [11, -91, 38, -92, -17, -75, 81, 93, -30, 67]
  Compare 38 and -92
  Swap 38 and -92
  List after swap: [11, -91, -92, 38, -17, -75, 81, 93, -30, 67]
  Compare 38 and -17
  Swap 38 and -17
  List after swap: [11, -91, -92, -17, 38, -75, 81, 93, -30, 67]
  Compare 38 and -75
  Swap 38 and -75
  List after swap: [11, -91, -92, -17, -75, 38, 81, 93, -30, 67]
  Compare 38 and 81
  No swap needed
  Compare 81 and 93
  No swap needed
  Compare 93 and -30
  Swap 93 and -30
  List after swap: [11, -91, -92, -17, -75, 38, 81, -30, 93, 67]
  Compare 93 and 67
  Swap 93 and 67
  List after swap: [11, -91, -92, -17, -75, 38, 81, -30, 67, 93]

Pass 2:
  Compare 11 and -91
  Swap 11 and -91
  List after swap: [-91, 11, -92, -17, -75, 38, 81, -30, 67, 93]
  Compare 11 and -92
  Swap 11 and -92
  List after swap: [-91, -92, 11, -17, -75, 38, 81, -30, 67, 93]
  Compare 11 and -17
  Swap 11 and -17
  List after swap: [-91, -92, -17, 11, -75, 38, 81, -30, 67, 93]
  Compare 11 and -75
  Swap 11 and -75
  List after swap: [-91, -92, -17, -75, 11, 38, 81, -30, 67, 93]
  Compare 11 and 38
  No swap needed
  Compare 38 and 81
  No swap needed
  Compare 81 and -30
  Swap 81 and -30
  List after swap: [-91, -92, -17, -75, 11, 38, -30, 81, 67, 93]
  Compare 81 and 67
  Swap 81 and 67
  List after swap: [-91, -92, -17, -75, 11, 38, -30, 67, 81, 93]

Pass 3:
  Compare -91 and -92
  Swap -91 and -92
  List after swap: [-92, -91, -17, -75, 11, 38, -30, 67, 81, 93]
  Compare -91 and -17
  No swap needed
  Compare -17 and -75
  Swap -17 and -75
  List after swap: [-92, -91, -75, -17, 11, 38, -30, 67, 81, 93]
  Compare -17 and 11
  No swap needed
  Compare 11 and 38
  No swap needed
  Compare 38 and -30
  Swap 38 and -30
  List after swap: [-92, -91, -75, -17, 11, -30, 38, 67, 81, 93]
  Compare 38 and 67
  No swap needed

Pass 4:
  Compare -92 and -91
  No swap needed
  Compare -91 and -75
  No swap needed
  Compare -75 and -17
  No swap needed
  Compare -17 and 11
  No swap needed
  Compare 11 and -30
  Swap 11 and -30
  List after swap: [-92, -91, -75, -17, -30, 11, 38, 67, 81, 93]
  Compare 11 and 38
  No swap needed

Pass 5:
  Compare -92 and -91
  No swap needed
  Compare -91 and -75
  No swap needed
  Compare -75 and -17
  No swap needed
  Compare -17 and -30
  Swap -17 and -30
  List after swap: [-92, -91, -75, -30, -17, 11, 38, 67, 81, 93]
  Compare -17 and 11
  No swap needed

Pass 6:
  Compare -92 and -91
  No swap needed
  Compare -91 and -75
  No swap needed
  Compare -75 and -30
  No swap needed
  Compare -30 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -91, -75, -30, -17, 11, 38, 67, 81, 93]
</think>

<response>-92, -91, -75, -30, -17, 11, 38, 67, 81, 93</response>


input: Perform a bubble sort on the integers -47, -19, -31, -91, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-47, -19, -31, -91]

Pass 1:
  Compare -47 and -19
  No swap needed
  Compare -19 and -31
  Swap -19 and -31
  List after swap: [-47, -31, -19, -91]
  Compare -19 and -91
  Swap -19 and -91
  List after swap: [-47, -31, -91, -19]

Pass 2:
  Compare -47 and -31
  No swap needed
  Compare -31 and -91
  Swap -31 and -91
  List after swap: [-47, -91, -31, -19]

Pass 3:
  Compare -47 and -91
  Swap -47 and -91
  List after swap: [-91, -47, -31, -19]

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

Final sorted list: [-91, -47, -31, -19]
</think>

<response>-91, -47, -31, -19</response>


input: Use the bubble sort technique to reorder -23, 89, 43, 73, -11 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-23, 89, 43, 73, -11]

Pass 1:
  Compare -23 and 89
  No swap needed
  Compare 89 and 43
  Swap 89 and 43
  List after swap: [-23, 43, 89, 73, -11]
  Compare 89 and 73
  Swap 89 and 73
  List after swap: [-23, 43, 73, 89, -11]
  Compare 89 and -11
  Swap 89 and -11
  List after swap: [-23, 43, 73, -11, 89]

Pass 2:
  Compare -23 and 43
  No swap needed
  Compare 43 and 73
  No swap needed
  Compare 73 and -11
  Swap 73 and -11
  List after swap: [-23, 43, -11, 73, 89]

Pass 3:
  Compare -23 and 43
  No swap needed
  Compare 43 and -11
  Swap 43 and -11
  List after swap: [-23, -11, 43, 73, 89]

Pass 4:
  Compare -23 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, -11, 43, 73, 89]
</think>

<response>-23, -11, 43, 73, 89</response>


input: Perform a bubble sort on the integers 64, 36, -3, 42, -33, -65, -43, -55, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [64, 36, -3, 42, -33, -65, -43, -55]

Pass 1:
  Compare 64 and 36
  Swap 64 and 36
  List after swap: [36, 64, -3, 42, -33, -65, -43, -55]
  Compare 64 and -3
  Swap 64 and -3
  List after swap: [36, -3, 64, 42, -33, -65, -43, -55]
  Compare 64 and 42
  Swap 64 and 42
  List after swap: [36, -3, 42, 64, -33, -65, -43, -55]
  Compare 64 and -33
  Swap 64 and -33
  List after swap: [36, -3, 42, -33, 64, -65, -43, -55]
  Compare 64 and -65
  Swap 64 and -65
  List after swap: [36, -3, 42, -33, -65, 64, -43, -55]
  Compare 64 and -43
  Swap 64 and -43
  List after swap: [36, -3, 42, -33, -65, -43, 64, -55]
  Compare 64 and -55
  Swap 64 and -55
  List after swap: [36, -3, 42, -33, -65, -43, -55, 64]

Pass 2:
  Compare 36 and -3
  Swap 36 and -3
  List after swap: [-3, 36, 42, -33, -65, -43, -55, 64]
  Compare 36 and 42
  No swap needed
  Compare 42 and -33
  Swap 42 and -33
  List after swap: [-3, 36, -33, 42, -65, -43, -55, 64]
  Compare 42 and -65
  Swap 42 and -65
  List after swap: [-3, 36, -33, -65, 42, -43, -55, 64]
  Compare 42 and -43
  Swap 42 and -43
  List after swap: [-3, 36, -33, -65, -43, 42, -55, 64]
  Compare 42 and -55
  Swap 42 and -55
  List after swap: [-3, 36, -33, -65, -43, -55, 42, 64]

Pass 3:
  Compare -3 and 36
  No swap needed
  Compare 36 and -33
  Swap 36 and -33
  List after swap: [-3, -33, 36, -65, -43, -55, 42, 64]
  Compare 36 and -65
  Swap 36 and -65
  List after swap: [-3, -33, -65, 36, -43, -55, 42, 64]
  Compare 36 and -43
  Swap 36 and -43
  List after swap: [-3, -33, -65, -43, 36, -55, 42, 64]
  Compare 36 and -55
  Swap 36 and -55
  List after swap: [-3, -33, -65, -43, -55, 36, 42, 64]

Pass 4:
  Compare -3 and -33
  Swap -3 and -33
  List after swap: [-33, -3, -65, -43, -55, 36, 42, 64]
  Compare -3 and -65
  Swap -3 and -65
  List after swap: [-33, -65, -3, -43, -55, 36, 42, 64]
  Compare -3 and -43
  Swap -3 and -43
  List after swap: [-33, -65, -43, -3, -55, 36, 42, 64]
  Compare -3 and -55
  Swap -3 and -55
  List after swap: [-33, -65, -43, -55, -3, 36, 42, 64]

Pass 5:
  Compare -33 and -65
  Swap -33 and -65
  List after swap: [-65, -33, -43, -55, -3, 36, 42, 64]
  Compare -33 and -43
  Swap -33 and -43
  List after swap: [-65, -43, -33, -55, -3, 36, 42, 64]
  Compare -33 and -55
  Swap -33 and -55
  List after swap: [-65, -43, -55, -33, -3, 36, 42, 64]

Pass 6:
  Compare -65 and -43
  No swap needed
  Compare -43 and -55
  Swap -43 and -55
  List after swap: [-65, -55, -43, -33, -3, 36, 42, 64]

Pass 7:
  Compare -65 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -55, -43, -33, -3, 36, 42, 64]
</think>

<response>-65, -55, -43, -33, -3, 36, 42, 64</response>


input: Perform a bubble sort on the integers -5, -83, -21, -56, 41, -32, -8, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-5, -83, -21, -56, 41, -32, -8]

Pass 1:
  Compare -5 and -83
  Swap -5 and -83
  List after swap: [-83, -5, -21, -56, 41, -32, -8]
  Compare -5 and -21
  Swap -5 and -21
  List after swap: [-83, -21, -5, -56, 41, -32, -8]
  Compare -5 and -56
  Swap -5 and -56
  List after swap: [-83, -21, -56, -5, 41, -32, -8]
  Compare -5 and 41
  No swap needed
  Compare 41 and -32
  Swap 41 and -32
  List after swap: [-83, -21, -56, -5, -32, 41, -8]
  Compare 41 and -8
  Swap 41 and -8
  List after swap: [-83, -21, -56, -5, -32, -8, 41]

Pass 2:
  Compare -83 and -21
  No swap needed
  Compare -21 and -56
  Swap -21 and -56
  List after swap: [-83, -56, -21, -5, -32, -8, 41]
  Compare -21 and -5
  No swap needed
  Compare -5 and -32
  Swap -5 and -32
  List after swap: [-83, -56, -21, -32, -5, -8, 41]
  Compare -5 and -8
  Swap -5 and -8
  List after swap: [-83, -56, -21, -32, -8, -5, 41]

Pass 3:
  Compare -83 and -56
  No swap needed
  Compare -56 and -21
  No swap needed
  Compare -21 and -32
  Swap -21 and -32
  List after swap: [-83, -56, -32, -21, -8, -5, 41]
  Compare -21 and -8
  No swap needed

Pass 4:
  Compare -83 and -56
  No swap needed
  Compare -56 and -32
  No swap needed
  Compare -32 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -56, -32, -21, -8, -5, 41]
</think>

<response>-83, -56, -32, -21, -8, -5, 41</response>


input: Sort the list 73, -41, 15 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [73, -41, 15]

Pass 1:
  Compare 73 and -41
  Swap 73 and -41
  List after swap: [-41, 73, 15]
  Compare 73 and 15
  Swap 73 and 15
  List after swap: [-41, 15, 73]

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

Final sorted list: [-41, 15, 73]
</think>

<response>-41, 15, 73</response>


input: Arrange the numbers -92, 19, -97, -96, 75 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-92, 19, -97, -96, 75]

Pass 1:
  Compare -92 and 19
  No swap needed
  Compare 19 and -97
  Swap 19 and -97
  List after swap: [-92, -97, 19, -96, 75]
  Compare 19 and -96
  Swap 19 and -96
  List after swap: [-92, -97, -96, 19, 75]
  Compare 19 and 75
  No swap needed

Pass 2:
  Compare -92 and -97
  Swap -92 and -97
  List after swap: [-97, -92, -96, 19, 75]
  Compare -92 and -96
  Swap -92 and -96
  List after swap: [-97, -96, -92, 19, 75]
  Compare -92 and 19
  No swap needed

Pass 3:
  Compare -97 and -96
  No swap needed
  Compare -96 and -92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -96, -92, 19, 75]
</think>

<response>-97, -96, -92, 19, 75</response>


input: Using the bubble sort method, sort -6, -72, 22, -43 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-6, -72, 22, -43]

Pass 1:
  Compare -6 and -72
  Swap -6 and -72
  List after swap: [-72, -6, 22, -43]
  Compare -6 and 22
  No swap needed
  Compare 22 and -43
  Swap 22 and -43
  List after swap: [-72, -6, -43, 22]

Pass 2:
  Compare -72 and -6
  No swap needed
  Compare -6 and -43
  Swap -6 and -43
  List after swap: [-72, -43, -6, 22]

Pass 3:
  Compare -72 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -43, -6, 22]
</think>

<response>-72, -43, -6, 22</response>


input: Sort these integers -53, -99, -83, 62, -78, 84, 43 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-53, -99, -83, 62, -78, 84, 43]

Pass 1:
  Compare -53 and -99
  Swap -53 and -99
  List after swap: [-99, -53, -83, 62, -78, 84, 43]
  Compare -53 and -83
  Swap -53 and -83
  List after swap: [-99, -83, -53, 62, -78, 84, 43]
  Compare -53 and 62
  No swap needed
  Compare 62 and -78
  Swap 62 and -78
  List after swap: [-99, -83, -53, -78, 62, 84, 43]
  Compare 62 and 84
  No swap needed
  Compare 84 and 43
  Swap 84 and 43
  List after swap: [-99, -83, -53, -78, 62, 43, 84]

Pass 2:
  Compare -99 and -83
  No swap needed
  Compare -83 and -53
  No swap needed
  Compare -53 and -78
  Swap -53 and -78
  List after swap: [-99, -83, -78, -53, 62, 43, 84]
  Compare -53 and 62
  No swap needed
  Compare 62 and 43
  Swap 62 and 43
  List after swap: [-99, -83, -78, -53, 43, 62, 84]

Pass 3:
  Compare -99 and -83
  No swap needed
  Compare -83 and -78
  No swap needed
  Compare -78 and -53
  No swap needed
  Compare -53 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -83, -78, -53, 43, 62, 84]
</think>

<response>-99, -83, -78, -53, 43, 62, 84</response>


input: Demonstrate how bubble sort orders the integers 64, 48, -11, -19, -4 in ascending sequence, showing all steps.

output:
<think>
Initial list: [64, 48, -11, -19, -4]

Pass 1:
  Compare 64 and 48
  Swap 64 and 48
  List after swap: [48, 64, -11, -19, -4]
  Compare 64 and -11
  Swap 64 and -11
  List after swap: [48, -11, 64, -19, -4]
  Compare 64 and -19
  Swap 64 and -19
  List after swap: [48, -11, -19, 64, -4]
  Compare 64 and -4
  Swap 64 and -4
  List after swap: [48, -11, -19, -4, 64]

Pass 2:
  Compare 48 and -11
  Swap 48 and -11
  List after swap: [-11, 48, -19, -4, 64]
  Compare 48 and -19
  Swap 48 and -19
  List after swap: [-11, -19, 48, -4, 64]
  Compare 48 and -4
  Swap 48 and -4
  List after swap: [-11, -19, -4, 48, 64]

Pass 3:
  Compare -11 and -19
  Swap -11 and -19
  List after swap: [-19, -11, -4, 48, 64]
  Compare -11 and -4
  No swap needed

Pass 4:
  Compare -19 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-19, -11, -4, 48, 64]
</think>

<response>-19, -11, -4, 48, 64</response>


input: Perform a bubble sort on the integers 48, 18, 23, 30, 99, 21, 22, 75, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [48, 18, 23, 30, 99, 21, 22, 75]

Pass 1:
  Compare 48 and 18
  Swap 48 and 18
  List after swap: [18, 48, 23, 30, 99, 21, 22, 75]
  Compare 48 and 23
  Swap 48 and 23
  List after swap: [18, 23, 48, 30, 99, 21, 22, 75]
  Compare 48 and 30
  Swap 48 and 30
  List after swap: [18, 23, 30, 48, 99, 21, 22, 75]
  Compare 48 and 99
  No swap needed
  Compare 99 and 21
  Swap 99 and 21
  List after swap: [18, 23, 30, 48, 21, 99, 22, 75]
  Compare 99 and 22
  Swap 99 and 22
  List after swap: [18, 23, 30, 48, 21, 22, 99, 75]
  Compare 99 and 75
  Swap 99 and 75
  List after swap: [18, 23, 30, 48, 21, 22, 75, 99]

Pass 2:
  Compare 18 and 23
  No swap needed
  Compare 23 and 30
  No swap needed
  Compare 30 and 48
  No swap needed
  Compare 48 and 21
  Swap 48 and 21
  List after swap: [18, 23, 30, 21, 48, 22, 75, 99]
  Compare 48 and 22
  Swap 48 and 22
  List after swap: [18, 23, 30, 21, 22, 48, 75, 99]
  Compare 48 and 75
  No swap needed

Pass 3:
  Compare 18 and 23
  No swap needed
  Compare 23 and 30
  No swap needed
  Compare 30 and 21
  Swap 30 and 21
  List after swap: [18, 23, 21, 30, 22, 48, 75, 99]
  Compare 30 and 22
  Swap 30 and 22
  List after swap: [18, 23, 21, 22, 30, 48, 75, 99]
  Compare 30 and 48
  No swap needed

Pass 4:
  Compare 18 and 23
  No swap needed
  Compare 23 and 21
  Swap 23 and 21
  List after swap: [18, 21, 23, 22, 30, 48, 75, 99]
  Compare 23 and 22
  Swap 23 and 22
  List after swap: [18, 21, 22, 23, 30, 48, 75, 99]
  Compare 23 and 30
  No swap needed

Pass 5:
  Compare 18 and 21
  No swap needed
  Compare 21 and 22
  No swap needed
  Compare 22 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [18, 21, 22, 23, 30, 48, 75, 99]
</think>

<response>18, 21, 22, 23, 30, 48, 75, 99</response>


input: Execute bubble sort to sort -99, -80, -98, 80, 30, 56 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-99, -80, -98, 80, 30, 56]

Pass 1:
  Compare -99 and -80
  No swap needed
  Compare -80 and -98
  Swap -80 and -98
  List after swap: [-99, -98, -80, 80, 30, 56]
  Compare -80 and 80
  No swap needed
  Compare 80 and 30
  Swap 80 and 30
  List after swap: [-99, -98, -80, 30, 80, 56]
  Compare 80 and 56
  Swap 80 and 56
  List after swap: [-99, -98, -80, 30, 56, 80]

Pass 2:
  Compare -99 and -98
  No swap needed
  Compare -98 and -80
  No swap needed
  Compare -80 and 30
  No swap needed
  Compare 30 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -98, -80, 30, 56, 80]
</think>

<response>-99, -98, -80, 30, 56, 80</response>


input: Demonstrate how bubble sort orders the integers 84, -64, 38, -97, -67 in ascending sequence, showing all steps.

output:
<think>
Initial list: [84, -64, 38, -97, -67]

Pass 1:
  Compare 84 and -64
  Swap 84 and -64
  List after swap: [-64, 84, 38, -97, -67]
  Compare 84 and 38
  Swap 84 and 38
  List after swap: [-64, 38, 84, -97, -67]
  Compare 84 and -97
  Swap 84 and -97
  List after swap: [-64, 38, -97, 84, -67]
  Compare 84 and -67
  Swap 84 and -67
  List after swap: [-64, 38, -97, -67, 84]

Pass 2:
  Compare -64 and 38
  No swap needed
  Compare 38 and -97
  Swap 38 and -97
  List after swap: [-64, -97, 38, -67, 84]
  Compare 38 and -67
  Swap 38 and -67
  List after swap: [-64, -97, -67, 38, 84]

Pass 3:
  Compare -64 and -97
  Swap -64 and -97
  List after swap: [-97, -64, -67, 38, 84]
  Compare -64 and -67
  Swap -64 and -67
  List after swap: [-97, -67, -64, 38, 84]

Pass 4:
  Compare -97 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -67, -64, 38, 84]
</think>

<response>-97, -67, -64, 38, 84</response>


input: Carry out the bubble sort algorithm on -2, 41, 95, 19, -61, -57, 8, 87 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-2, 41, 95, 19, -61, -57, 8, 87]

Pass 1:
  Compare -2 and 41
  No swap needed
  Compare 41 and 95
  No swap needed
  Compare 95 and 19
  Swap 95 and 19
  List after swap: [-2, 41, 19, 95, -61, -57, 8, 87]
  Compare 95 and -61
  Swap 95 and -61
  List after swap: [-2, 41, 19, -61, 95, -57, 8, 87]
  Compare 95 and -57
  Swap 95 and -57
  List after swap: [-2, 41, 19, -61, -57, 95, 8, 87]
  Compare 95 and 8
  Swap 95 and 8
  List after swap: [-2, 41, 19, -61, -57, 8, 95, 87]
  Compare 95 and 87
  Swap 95 and 87
  List after swap: [-2, 41, 19, -61, -57, 8, 87, 95]

Pass 2:
  Compare -2 and 41
  No swap needed
  Compare 41 and 19
  Swap 41 and 19
  List after swap: [-2, 19, 41, -61, -57, 8, 87, 95]
  Compare 41 and -61
  Swap 41 and -61
  List after swap: [-2, 19, -61, 41, -57, 8, 87, 95]
  Compare 41 and -57
  Swap 41 and -57
  List after swap: [-2, 19, -61, -57, 41, 8, 87, 95]
  Compare 41 and 8
  Swap 41 and 8
  List after swap: [-2, 19, -61, -57, 8, 41, 87, 95]
  Compare 41 and 87
  No swap needed

Pass 3:
  Compare -2 and 19
  No swap needed
  Compare 19 and -61
  Swap 19 and -61
  List after swap: [-2, -61, 19, -57, 8, 41, 87, 95]
  Compare 19 and -57
  Swap 19 and -57
  List after swap: [-2, -61, -57, 19, 8, 41, 87, 95]
  Compare 19 and 8
  Swap 19 and 8
  List after swap: [-2, -61, -57, 8, 19, 41, 87, 95]
  Compare 19 and 41
  No swap needed

Pass 4:
  Compare -2 and -61
  Swap -2 and -61
  List after swap: [-61, -2, -57, 8, 19, 41, 87, 95]
  Compare -2 and -57
  Swap -2 and -57
  List after swap: [-61, -57, -2, 8, 19, 41, 87, 95]
  Compare -2 and 8
  No swap needed
  Compare 8 and 19
  No swap needed

Pass 5:
  Compare -61 and -57
  No swap needed
  Compare -57 and -2
  No swap needed
  Compare -2 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -57, -2, 8, 19, 41, 87, 95]
</think>

<response>-61, -57, -2, 8, 19, 41, 87, 95</response>


input: Carry out the bubble sort algorithm on -50, -35, 7, -46, 80, -48, 63, 83, -2 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-50, -35, 7, -46, 80, -48, 63, 83, -2]

Pass 1:
  Compare -50 and -35
  No swap needed
  Compare -35 and 7
  No swap needed
  Compare 7 and -46
  Swap 7 and -46
  List after swap: [-50, -35, -46, 7, 80, -48, 63, 83, -2]
  Compare 7 and 80
  No swap needed
  Compare 80 and -48
  Swap 80 and -48
  List after swap: [-50, -35, -46, 7, -48, 80, 63, 83, -2]
  Compare 80 and 63
  Swap 80 and 63
  List after swap: [-50, -35, -46, 7, -48, 63, 80, 83, -2]
  Compare 80 and 83
  No swap needed
  Compare 83 and -2
  Swap 83 and -2
  List after swap: [-50, -35, -46, 7, -48, 63, 80, -2, 83]

Pass 2:
  Compare -50 and -35
  No swap needed
  Compare -35 and -46
  Swap -35 and -46
  List after swap: [-50, -46, -35, 7, -48, 63, 80, -2, 83]
  Compare -35 and 7
  No swap needed
  Compare 7 and -48
  Swap 7 and -48
  List after swap: [-50, -46, -35, -48, 7, 63, 80, -2, 83]
  Compare 7 and 63
  No swap needed
  Compare 63 and 80
  No swap needed
  Compare 80 and -2
  Swap 80 and -2
  List after swap: [-50, -46, -35, -48, 7, 63, -2, 80, 83]

Pass 3:
  Compare -50 and -46
  No swap needed
  Compare -46 and -35
  No swap needed
  Compare -35 and -48
  Swap -35 and -48
  List after swap: [-50, -46, -48, -35, 7, 63, -2, 80, 83]
  Compare -35 and 7
  No swap needed
  Compare 7 and 63
  No swap needed
  Compare 63 and -2
  Swap 63 and -2
  List after swap: [-50, -46, -48, -35, 7, -2, 63, 80, 83]

Pass 4:
  Compare -50 and -46
  No swap needed
  Compare -46 and -48
  Swap -46 and -48
  List after swap: [-50, -48, -46, -35, 7, -2, 63, 80, 83]
  Compare -46 and -35
  No swap needed
  Compare -35 and 7
  No swap needed
  Compare 7 and -2
  Swap 7 and -2
  List after swap: [-50, -48, -46, -35, -2, 7, 63, 80, 83]

Pass 5:
  Compare -50 and -48
  No swap needed
  Compare -48 and -46
  No swap needed
  Compare -46 and -35
  No swap needed
  Compare -35 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -48, -46, -35, -2, 7, 63, 80, 83]
</think>

<response>-50, -48, -46, -35, -2, 7, 63, 80, 83</response>


input: Implement bubble sort on 80, -80, -41, 89, 45 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [80, -80, -41, 89, 45]

Pass 1:
  Compare 80 and -80
  Swap 80 and -80
  List after swap: [-80, 80, -41, 89, 45]
  Compare 80 and -41
  Swap 80 and -41
  List after swap: [-80, -41, 80, 89, 45]
  Compare 80 and 89
  No swap needed
  Compare 89 and 45
  Swap 89 and 45
  List after swap: [-80, -41, 80, 45, 89]

Pass 2:
  Compare -80 and -41
  No swap needed
  Compare -41 and 80
  No swap needed
  Compare 80 and 45
  Swap 80 and 45
  List after swap: [-80, -41, 45, 80, 89]

Pass 3:
  Compare -80 and -41
  No swap needed
  Compare -41 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -41, 45, 80, 89]
</think>

<response>-80, -41, 45, 80, 89</response>


input: Carry out the bubble sort algorithm on 83, 5, -9, -37 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [83, 5, -9, -37]

Pass 1:
  Compare 83 and 5
  Swap 83 and 5
  List after swap: [5, 83, -9, -37]
  Compare 83 and -9
  Swap 83 and -9
  List after swap: [5, -9, 83, -37]
  Compare 83 and -37
  Swap 83 and -37
  List after swap: [5, -9, -37, 83]

Pass 2:
  Compare 5 and -9
  Swap 5 and -9
  List after swap: [-9, 5, -37, 83]
  Compare 5 and -37
  Swap 5 and -37
  List after swap: [-9, -37, 5, 83]

Pass 3:
  Compare -9 and -37
  Swap -9 and -37
  List after swap: [-37, -9, 5, 83]

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

Final sorted list: [-37, -9, 5, 83]
</think>

<response>-37, -9, 5, 83</response>


input: Arrange the numbers 63, -99, 56, 48, -65, 91, 80 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [63, -99, 56, 48, -65, 91, 80]

Pass 1:
  Compare 63 and -99
  Swap 63 and -99
  List after swap: [-99, 63, 56, 48, -65, 91, 80]
  Compare 63 and 56
  Swap 63 and 56
  List after swap: [-99, 56, 63, 48, -65, 91, 80]
  Compare 63 and 48
  Swap 63 and 48
  List after swap: [-99, 56, 48, 63, -65, 91, 80]
  Compare 63 and -65
  Swap 63 and -65
  List after swap: [-99, 56, 48, -65, 63, 91, 80]
  Compare 63 and 91
  No swap needed
  Compare 91 and 80
  Swap 91 and 80
  List after swap: [-99, 56, 48, -65, 63, 80, 91]

Pass 2:
  Compare -99 and 56
  No swap needed
  Compare 56 and 48
  Swap 56 and 48
  List after swap: [-99, 48, 56, -65, 63, 80, 91]
  Compare 56 and -65
  Swap 56 and -65
  List after swap: [-99, 48, -65, 56, 63, 80, 91]
  Compare 56 and 63
  No swap needed
  Compare 63 and 80
  No swap needed

Pass 3:
  Compare -99 and 48
  No swap needed
  Compare 48 and -65
  Swap 48 and -65
  List after swap: [-99, -65, 48, 56, 63, 80, 91]
  Compare 48 and 56
  No swap needed
  Compare 56 and 63
  No swap needed

Pass 4:
  Compare -99 and -65
  No swap needed
  Compare -65 and 48
  No swap needed
  Compare 48 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -65, 48, 56, 63, 80, 91]
</think>

<response>-99, -65, 48, 56, 63, 80, 91</response>


input: Demonstrate how bubble sort orders the integers 82, 53 in ascending sequence, showing all steps.

output:
<think>
Initial list: [82, 53]

Pass 1:
  Compare 82 and 53
  Swap 82 and 53
  List after swap: [53, 82]

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

Final sorted list: [53, 82]
</think>

<response>53, 82</response>


input: Sort these integers -36, -58, -25, 48, 50, 52, -78, -42, 83 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-36, -58, -25, 48, 50, 52, -78, -42, 83]

Pass 1:
  Compare -36 and -58
  Swap -36 and -58
  List after swap: [-58, -36, -25, 48, 50, 52, -78, -42, 83]
  Compare -36 and -25
  No swap needed
  Compare -25 and 48
  No swap needed
  Compare 48 and 50
  No swap needed
  Compare 50 and 52
  No swap needed
  Compare 52 and -78
  Swap 52 and -78
  List after swap: [-58, -36, -25, 48, 50, -78, 52, -42, 83]
  Compare 52 and -42
  Swap 52 and -42
  List after swap: [-58, -36, -25, 48, 50, -78, -42, 52, 83]
  Compare 52 and 83
  No swap needed

Pass 2:
  Compare -58 and -36
  No swap needed
  Compare -36 and -25
  No swap needed
  Compare -25 and 48
  No swap needed
  Compare 48 and 50
  No swap needed
  Compare 50 and -78
  Swap 50 and -78
  List after swap: [-58, -36, -25, 48, -78, 50, -42, 52, 83]
  Compare 50 and -42
  Swap 50 and -42
  List after swap: [-58, -36, -25, 48, -78, -42, 50, 52, 83]
  Compare 50 and 52
  No swap needed

Pass 3:
  Compare -58 and -36
  No swap needed
  Compare -36 and -25
  No swap needed
  Compare -25 and 48
  No swap needed
  Compare 48 and -78
  Swap 48 and -78
  List after swap: [-58, -36, -25, -78, 48, -42, 50, 52, 83]
  Compare 48 and -42
  Swap 48 and -42
  List after swap: [-58, -36, -25, -78, -42, 48, 50, 52, 83]
  Compare 48 and 50
  No swap needed

Pass 4:
  Compare -58 and -36
  No swap needed
  Compare -36 and -25
  No swap needed
  Compare -25 and -78
  Swap -25 and -78
  List after swap: [-58, -36, -78, -25, -42, 48, 50, 52, 83]
  Compare -25 and -42
  Swap -25 and -42
  List after swap: [-58, -36, -78, -42, -25, 48, 50, 52, 83]
  Compare -25 and 48
  No swap needed

Pass 5:
  Compare -58 and -36
  No swap needed
  Compare -36 and -78
  Swap -36 and -78
  List after swap: [-58, -78, -36, -42, -25, 48, 50, 52, 83]
  Compare -36 and -42
  Swap -36 and -42
  List after swap: [-58, -78, -42, -36, -25, 48, 50, 52, 83]
  Compare -36 and -25
  No swap needed

Pass 6:
  Compare -58 and -78
  Swap -58 and -78
  List after swap: [-78, -58, -42, -36, -25, 48, 50, 52, 83]
  Compare -58 and -42
  No swap needed
  Compare -42 and -36
  No swap needed

Pass 7:
  Compare -78 and -58
  No swap needed
  Compare -58 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -58, -42, -36, -25, 48, 50, 52, 83]
</think>

<response>-78, -58, -42, -36, -25, 48, 50, 52, 83</response>


input: Sort the list -32, 87, 28, 23, -44, 55, -23, 80, 48, -67 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-32, 87, 28, 23, -44, 55, -23, 80, 48, -67]

Pass 1:
  Compare -32 and 87
  No swap needed
  Compare 87 and 28
  Swap 87 and 28
  List after swap: [-32, 28, 87, 23, -44, 55, -23, 80, 48, -67]
  Compare 87 and 23
  Swap 87 and 23
  List after swap: [-32, 28, 23, 87, -44, 55, -23, 80, 48, -67]
  Compare 87 and -44
  Swap 87 and -44
  List after swap: [-32, 28, 23, -44, 87, 55, -23, 80, 48, -67]
  Compare 87 and 55
  Swap 87 and 55
  List after swap: [-32, 28, 23, -44, 55, 87, -23, 80, 48, -67]
  Compare 87 and -23
  Swap 87 and -23
  List after swap: [-32, 28, 23, -44, 55, -23, 87, 80, 48, -67]
  Compare 87 and 80
  Swap 87 and 80
  List after swap: [-32, 28, 23, -44, 55, -23, 80, 87, 48, -67]
  Compare 87 and 48
  Swap 87 and 48
  List after swap: [-32, 28, 23, -44, 55, -23, 80, 48, 87, -67]
  Compare 87 and -67
  Swap 87 and -67
  List after swap: [-32, 28, 23, -44, 55, -23, 80, 48, -67, 87]

Pass 2:
  Compare -32 and 28
  No swap needed
  Compare 28 and 23
  Swap 28 and 23
  List after swap: [-32, 23, 28, -44, 55, -23, 80, 48, -67, 87]
  Compare 28 and -44
  Swap 28 and -44
  List after swap: [-32, 23, -44, 28, 55, -23, 80, 48, -67, 87]
  Compare 28 and 55
  No swap needed
  Compare 55 and -23
  Swap 55 and -23
  List after swap: [-32, 23, -44, 28, -23, 55, 80, 48, -67, 87]
  Compare 55 and 80
  No swap needed
  Compare 80 and 48
  Swap 80 and 48
  List after swap: [-32, 23, -44, 28, -23, 55, 48, 80, -67, 87]
  Compare 80 and -67
  Swap 80 and -67
  List after swap: [-32, 23, -44, 28, -23, 55, 48, -67, 80, 87]

Pass 3:
  Compare -32 and 23
  No swap needed
  Compare 23 and -44
  Swap 23 and -44
  List after swap: [-32, -44, 23, 28, -23, 55, 48, -67, 80, 87]
  Compare 23 and 28
  No swap needed
  Compare 28 and -23
  Swap 28 and -23
  List after swap: [-32, -44, 23, -23, 28, 55, 48, -67, 80, 87]
  Compare 28 and 55
  No swap needed
  Compare 55 and 48
  Swap 55 and 48
  List after swap: [-32, -44, 23, -23, 28, 48, 55, -67, 80, 87]
  Compare 55 and -67
  Swap 55 and -67
  List after swap: [-32, -44, 23, -23, 28, 48, -67, 55, 80, 87]

Pass 4:
  Compare -32 and -44
  Swap -32 and -44
  List after swap: [-44, -32, 23, -23, 28, 48, -67, 55, 80, 87]
  Compare -32 and 23
  No swap needed
  Compare 23 and -23
  Swap 23 and -23
  List after swap: [-44, -32, -23, 23, 28, 48, -67, 55, 80, 87]
  Compare 23 and 28
  No swap needed
  Compare 28 and 48
  No swap needed
  Compare 48 and -67
  Swap 48 and -67
  List after swap: [-44, -32, -23, 23, 28, -67, 48, 55, 80, 87]

Pass 5:
  Compare -44 and -32
  No swap needed
  Compare -32 and -23
  No swap needed
  Compare -23 and 23
  No swap needed
  Compare 23 and 28
  No swap needed
  Compare 28 and -67
  Swap 28 and -67
  List after swap: [-44, -32, -23, 23, -67, 28, 48, 55, 80, 87]

Pass 6:
  Compare -44 and -32
  No swap needed
  Compare -32 and -23
  No swap needed
  Compare -23 and 23
  No swap needed
  Compare 23 and -67
  Swap 23 and -67
  List after swap: [-44, -32, -23, -67, 23, 28, 48, 55, 80, 87]

Pass 7:
  Compare -44 and -32
  No swap needed
  Compare -32 and -23
  No swap needed
  Compare -23 and -67
  Swap -23 and -67
  List after swap: [-44, -32, -67, -23, 23, 28, 48, 55, 80, 87]

Pass 8:
  Compare -44 and -32
  No swap needed
  Compare -32 and -67
  Swap -32 and -67
  List after swap: [-44, -67, -32, -23, 23, 28, 48, 55, 80, 87]

Pass 9:
  Compare -44 and -67
  Swap -44 and -67
  List after swap: [-67, -44, -32, -23, 23, 28, 48, 55, 80, 87]

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

Final sorted list: [-67, -44, -32, -23, 23, 28, 48, 55, 80, 87]
</think>

<response>-67, -44, -32, -23, 23, 28, 48, 55, 80, 87</response>


input: Using the bubble sort method, sort -89, 38, 77, 23, 1, 48 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-89, 38, 77, 23, 1, 48]

Pass 1:
  Compare -89 and 38
  No swap needed
  Compare 38 and 77
  No swap needed
  Compare 77 and 23
  Swap 77 and 23
  List after swap: [-89, 38, 23, 77, 1, 48]
  Compare 77 and 1
  Swap 77 and 1
  List after swap: [-89, 38, 23, 1, 77, 48]
  Compare 77 and 48
  Swap 77 and 48
  List after swap: [-89, 38, 23, 1, 48, 77]

Pass 2:
  Compare -89 and 38
  No swap needed
  Compare 38 and 23
  Swap 38 and 23
  List after swap: [-89, 23, 38, 1, 48, 77]
  Compare 38 and 1
  Swap 38 and 1
  List after swap: [-89, 23, 1, 38, 48, 77]
  Compare 38 and 48
  No swap needed

Pass 3:
  Compare -89 and 23
  No swap needed
  Compare 23 and 1
  Swap 23 and 1
  List after swap: [-89, 1, 23, 38, 48, 77]
  Compare 23 and 38
  No swap needed

Pass 4:
  Compare -89 and 1
  No swap needed
  Compare 1 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, 1, 23, 38, 48, 77]
</think>

<response>-89, 1, 23, 38, 48, 77</response>


input: Arrange the numbers 11, -31, 72, 17, 82, 96 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [11, -31, 72, 17, 82, 96]

Pass 1:
  Compare 11 and -31
  Swap 11 and -31
  List after swap: [-31, 11, 72, 17, 82, 96]
  Compare 11 and 72
  No swap needed
  Compare 72 and 17
  Swap 72 and 17
  List after swap: [-31, 11, 17, 72, 82, 96]
  Compare 72 and 82
  No swap needed
  Compare 82 and 96
  No swap needed

Pass 2:
  Compare -31 and 11
  No swap needed
  Compare 11 and 17
  No swap needed
  Compare 17 and 72
  No swap needed
  Compare 72 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, 11, 17, 72, 82, 96]
</think>

<response>-31, 11, 17, 72, 82, 96</response>


input: Sort these integers 72, -15, 81, -41, 56, 70, -76 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [72, -15, 81, -41, 56, 70, -76]

Pass 1:
  Compare 72 and -15
  Swap 72 and -15
  List after swap: [-15, 72, 81, -41, 56, 70, -76]
  Compare 72 and 81
  No swap needed
  Compare 81 and -41
  Swap 81 and -41
  List after swap: [-15, 72, -41, 81, 56, 70, -76]
  Compare 81 and 56
  Swap 81 and 56
  List after swap: [-15, 72, -41, 56, 81, 70, -76]
  Compare 81 and 70
  Swap 81 and 70
  List after swap: [-15, 72, -41, 56, 70, 81, -76]
  Compare 81 and -76
  Swap 81 and -76
  List after swap: [-15, 72, -41, 56, 70, -76, 81]

Pass 2:
  Compare -15 and 72
  No swap needed
  Compare 72 and -41
  Swap 72 and -41
  List after swap: [-15, -41, 72, 56, 70, -76, 81]
  Compare 72 and 56
  Swap 72 and 56
  List after swap: [-15, -41, 56, 72, 70, -76, 81]
  Compare 72 and 70
  Swap 72 and 70
  List after swap: [-15, -41, 56, 70, 72, -76, 81]
  Compare 72 and -76
  Swap 72 and -76
  List after swap: [-15, -41, 56, 70, -76, 72, 81]

Pass 3:
  Compare -15 and -41
  Swap -15 and -41
  List after swap: [-41, -15, 56, 70, -76, 72, 81]
  Compare -15 and 56
  No swap needed
  Compare 56 and 70
  No swap needed
  Compare 70 and -76
  Swap 70 and -76
  List after swap: [-41, -15, 56, -76, 70, 72, 81]

Pass 4:
  Compare -41 and -15
  No swap needed
  Compare -15 and 56
  No swap needed
  Compare 56 and -76
  Swap 56 and -76
  List after swap: [-41, -15, -76, 56, 70, 72, 81]

Pass 5:
  Compare -41 and -15
  No swap needed
  Compare -15 and -76
  Swap -15 and -76
  List after swap: [-41, -76, -15, 56, 70, 72, 81]

Pass 6:
  Compare -41 and -76
  Swap -41 and -76
  List after swap: [-76, -41, -15, 56, 70, 72, 81]

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

Final sorted list: [-76, -41, -15, 56, 70, 72, 81]
</think>

<response>-76, -41, -15, 56, 70, 72, 81</response>


input: Sort these integers -18, -82, 3, 64, 9, -60, 30 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-18, -82, 3, 64, 9, -60, 30]

Pass 1:
  Compare -18 and -82
  Swap -18 and -82
  List after swap: [-82, -18, 3, 64, 9, -60, 30]
  Compare -18 and 3
  No swap needed
  Compare 3 and 64
  No swap needed
  Compare 64 and 9
  Swap 64 and 9
  List after swap: [-82, -18, 3, 9, 64, -60, 30]
  Compare 64 and -60
  Swap 64 and -60
  List after swap: [-82, -18, 3, 9, -60, 64, 30]
  Compare 64 and 30
  Swap 64 and 30
  List after swap: [-82, -18, 3, 9, -60, 30, 64]

Pass 2:
  Compare -82 and -18
  No swap needed
  Compare -18 and 3
  No swap needed
  Compare 3 and 9
  No swap needed
  Compare 9 and -60
  Swap 9 and -60
  List after swap: [-82, -18, 3, -60, 9, 30, 64]
  Compare 9 and 30
  No swap needed

Pass 3:
  Compare -82 and -18
  No swap needed
  Compare -18 and 3
  No swap needed
  Compare 3 and -60
  Swap 3 and -60
  List after swap: [-82, -18, -60, 3, 9, 30, 64]
  Compare 3 and 9
  No swap needed

Pass 4:
  Compare -82 and -18
  No swap needed
  Compare -18 and -60
  Swap -18 and -60
  List after swap: [-82, -60, -18, 3, 9, 30, 64]
  Compare -18 and 3
  No swap needed

Pass 5:
  Compare -82 and -60
  No swap needed
  Compare -60 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -60, -18, 3, 9, 30, 64]
</think>

<response>-82, -60, -18, 3, 9, 30, 64</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 88, -69.

output:
<think>
Initial list: [88, -69]

Pass 1:
  Compare 88 and -69
  Swap 88 and -69
  List after swap: [-69, 88]

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

Final sorted list: [-69, 88]
</think>

<response>-69, 88</response>


input: Implement bubble sort on -73, -65, -94, 38, -27 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-73, -65, -94, 38, -27]

Pass 1:
  Compare -73 and -65
  No swap needed
  Compare -65 and -94
  Swap -65 and -94
  List after swap: [-73, -94, -65, 38, -27]
  Compare -65 and 38
  No swap needed
  Compare 38 and -27
  Swap 38 and -27
  List after swap: [-73, -94, -65, -27, 38]

Pass 2:
  Compare -73 and -94
  Swap -73 and -94
  List after swap: [-94, -73, -65, -27, 38]
  Compare -73 and -65
  No swap needed
  Compare -65 and -27
  No swap needed

Pass 3:
  Compare -94 and -73
  No swap needed
  Compare -73 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -73, -65, -27, 38]
</think>

<response>-94, -73, -65, -27, 38</response>


input: Carry out the bubble sort algorithm on -76, -14, 97, -27, 58 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-76, -14, 97, -27, 58]

Pass 1:
  Compare -76 and -14
  No swap needed
  Compare -14 and 97
  No swap needed
  Compare 97 and -27
  Swap 97 and -27
  List after swap: [-76, -14, -27, 97, 58]
  Compare 97 and 58
  Swap 97 and 58
  List after swap: [-76, -14, -27, 58, 97]

Pass 2:
  Compare -76 and -14
  No swap needed
  Compare -14 and -27
  Swap -14 and -27
  List after swap: [-76, -27, -14, 58, 97]
  Compare -14 and 58
  No swap needed

Pass 3:
  Compare -76 and -27
  No swap needed
  Compare -27 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -27, -14, 58, 97]
</think>

<response>-76, -27, -14, 58, 97</response>


input: Arrange the numbers -39, -26, -19, 34, 31, -6, 79, -52, -80, -1 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-39, -26, -19, 34, 31, -6, 79, -52, -80, -1]

Pass 1:
  Compare -39 and -26
  No swap needed
  Compare -26 and -19
  No swap needed
  Compare -19 and 34
  No swap needed
  Compare 34 and 31
  Swap 34 and 31
  List after swap: [-39, -26, -19, 31, 34, -6, 79, -52, -80, -1]
  Compare 34 and -6
  Swap 34 and -6
  List after swap: [-39, -26, -19, 31, -6, 34, 79, -52, -80, -1]
  Compare 34 and 79
  No swap needed
  Compare 79 and -52
  Swap 79 and -52
  List after swap: [-39, -26, -19, 31, -6, 34, -52, 79, -80, -1]
  Compare 79 and -80
  Swap 79 and -80
  List after swap: [-39, -26, -19, 31, -6, 34, -52, -80, 79, -1]
  Compare 79 and -1
  Swap 79 and -1
  List after swap: [-39, -26, -19, 31, -6, 34, -52, -80, -1, 79]

Pass 2:
  Compare -39 and -26
  No swap needed
  Compare -26 and -19
  No swap needed
  Compare -19 and 31
  No swap needed
  Compare 31 and -6
  Swap 31 and -6
  List after swap: [-39, -26, -19, -6, 31, 34, -52, -80, -1, 79]
  Compare 31 and 34
  No swap needed
  Compare 34 and -52
  Swap 34 and -52
  List after swap: [-39, -26, -19, -6, 31, -52, 34, -80, -1, 79]
  Compare 34 and -80
  Swap 34 and -80
  List after swap: [-39, -26, -19, -6, 31, -52, -80, 34, -1, 79]
  Compare 34 and -1
  Swap 34 and -1
  List after swap: [-39, -26, -19, -6, 31, -52, -80, -1, 34, 79]

Pass 3:
  Compare -39 and -26
  No swap needed
  Compare -26 and -19
  No swap needed
  Compare -19 and -6
  No swap needed
  Compare -6 and 31
  No swap needed
  Compare 31 and -52
  Swap 31 and -52
  List after swap: [-39, -26, -19, -6, -52, 31, -80, -1, 34, 79]
  Compare 31 and -80
  Swap 31 and -80
  List after swap: [-39, -26, -19, -6, -52, -80, 31, -1, 34, 79]
  Compare 31 and -1
  Swap 31 and -1
  List after swap: [-39, -26, -19, -6, -52, -80, -1, 31, 34, 79]

Pass 4:
  Compare -39 and -26
  No swap needed
  Compare -26 and -19
  No swap needed
  Compare -19 and -6
  No swap needed
  Compare -6 and -52
  Swap -6 and -52
  List after swap: [-39, -26, -19, -52, -6, -80, -1, 31, 34, 79]
  Compare -6 and -80
  Swap -6 and -80
  List after swap: [-39, -26, -19, -52, -80, -6, -1, 31, 34, 79]
  Compare -6 and -1
  No swap needed

Pass 5:
  Compare -39 and -26
  No swap needed
  Compare -26 and -19
  No swap needed
  Compare -19 and -52
  Swap -19 and -52
  List after swap: [-39, -26, -52, -19, -80, -6, -1, 31, 34, 79]
  Compare -19 and -80
  Swap -19 and -80
  List after swap: [-39, -26, -52, -80, -19, -6, -1, 31, 34, 79]
  Compare -19 and -6
  No swap needed

Pass 6:
  Compare -39 and -26
  No swap needed
  Compare -26 and -52
  Swap -26 and -52
  List after swap: [-39, -52, -26, -80, -19, -6, -1, 31, 34, 79]
  Compare -26 and -80
  Swap -26 and -80
  List after swap: [-39, -52, -80, -26, -19, -6, -1, 31, 34, 79]
  Compare -26 and -19
  No swap needed

Pass 7:
  Compare -39 and -52
  Swap -39 and -52
  List after swap: [-52, -39, -80, -26, -19, -6, -1, 31, 34, 79]
  Compare -39 and -80
  Swap -39 and -80
  List after swap: [-52, -80, -39, -26, -19, -6, -1, 31, 34, 79]
  Compare -39 and -26
  No swap needed

Pass 8:
  Compare -52 and -80
  Swap -52 and -80
  List after swap: [-80, -52, -39, -26, -19, -6, -1, 31, 34, 79]
  Compare -52 and -39
  No swap needed

Pass 9:
  Compare -80 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -52, -39, -26, -19, -6, -1, 31, 34, 79]
</think>

<response>-80, -52, -39, -26, -19, -6, -1, 31, 34, 79</response>


input: Implement bubble sort on 1, 75, -25, -40, -42 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [1, 75, -25, -40, -42]

Pass 1:
  Compare 1 and 75
  No swap needed
  Compare 75 and -25
  Swap 75 and -25
  List after swap: [1, -25, 75, -40, -42]
  Compare 75 and -40
  Swap 75 and -40
  List after swap: [1, -25, -40, 75, -42]
  Compare 75 and -42
  Swap 75 and -42
  List after swap: [1, -25, -40, -42, 75]

Pass 2:
  Compare 1 and -25
  Swap 1 and -25
  List after swap: [-25, 1, -40, -42, 75]
  Compare 1 and -40
  Swap 1 and -40
  List after swap: [-25, -40, 1, -42, 75]
  Compare 1 and -42
  Swap 1 and -42
  List after swap: [-25, -40, -42, 1, 75]

Pass 3:
  Compare -25 and -40
  Swap -25 and -40
  List after swap: [-40, -25, -42, 1, 75]
  Compare -25 and -42
  Swap -25 and -42
  List after swap: [-40, -42, -25, 1, 75]

Pass 4:
  Compare -40 and -42
  Swap -40 and -42
  List after swap: [-42, -40, -25, 1, 75]

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

Final sorted list: [-42, -40, -25, 1, 75]
</think>

<response>-42, -40, -25, 1, 75</response>


input: Sort the list 80, -3, -43, -20, -17, 87, 45, -52, 4 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [80, -3, -43, -20, -17, 87, 45, -52, 4]

Pass 1:
  Compare 80 and -3
  Swap 80 and -3
  List after swap: [-3, 80, -43, -20, -17, 87, 45, -52, 4]
  Compare 80 and -43
  Swap 80 and -43
  List after swap: [-3, -43, 80, -20, -17, 87, 45, -52, 4]
  Compare 80 and -20
  Swap 80 and -20
  List after swap: [-3, -43, -20, 80, -17, 87, 45, -52, 4]
  Compare 80 and -17
  Swap 80 and -17
  List after swap: [-3, -43, -20, -17, 80, 87, 45, -52, 4]
  Compare 80 and 87
  No swap needed
  Compare 87 and 45
  Swap 87 and 45
  List after swap: [-3, -43, -20, -17, 80, 45, 87, -52, 4]
  Compare 87 and -52
  Swap 87 and -52
  List after swap: [-3, -43, -20, -17, 80, 45, -52, 87, 4]
  Compare 87 and 4
  Swap 87 and 4
  List after swap: [-3, -43, -20, -17, 80, 45, -52, 4, 87]

Pass 2:
  Compare -3 and -43
  Swap -3 and -43
  List after swap: [-43, -3, -20, -17, 80, 45, -52, 4, 87]
  Compare -3 and -20
  Swap -3 and -20
  List after swap: [-43, -20, -3, -17, 80, 45, -52, 4, 87]
  Compare -3 and -17
  Swap -3 and -17
  List after swap: [-43, -20, -17, -3, 80, 45, -52, 4, 87]
  Compare -3 and 80
  No swap needed
  Compare 80 and 45
  Swap 80 and 45
  List after swap: [-43, -20, -17, -3, 45, 80, -52, 4, 87]
  Compare 80 and -52
  Swap 80 and -52
  List after swap: [-43, -20, -17, -3, 45, -52, 80, 4, 87]
  Compare 80 and 4
  Swap 80 and 4
  List after swap: [-43, -20, -17, -3, 45, -52, 4, 80, 87]

Pass 3:
  Compare -43 and -20
  No swap needed
  Compare -20 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and 45
  No swap needed
  Compare 45 and -52
  Swap 45 and -52
  List after swap: [-43, -20, -17, -3, -52, 45, 4, 80, 87]
  Compare 45 and 4
  Swap 45 and 4
  List after swap: [-43, -20, -17, -3, -52, 4, 45, 80, 87]

Pass 4:
  Compare -43 and -20
  No swap needed
  Compare -20 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and -52
  Swap -3 and -52
  List after swap: [-43, -20, -17, -52, -3, 4, 45, 80, 87]
  Compare -3 and 4
  No swap needed

Pass 5:
  Compare -43 and -20
  No swap needed
  Compare -20 and -17
  No swap needed
  Compare -17 and -52
  Swap -17 and -52
  List after swap: [-43, -20, -52, -17, -3, 4, 45, 80, 87]
  Compare -17 and -3
  No swap needed

Pass 6:
  Compare -43 and -20
  No swap needed
  Compare -20 and -52
  Swap -20 and -52
  List after swap: [-43, -52, -20, -17, -3, 4, 45, 80, 87]
  Compare -20 and -17
  No swap needed

Pass 7:
  Compare -43 and -52
  Swap -43 and -52
  List after swap: [-52, -43, -20, -17, -3, 4, 45, 80, 87]
  Compare -43 and -20
  No swap needed

Pass 8:
  Compare -52 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -43, -20, -17, -3, 4, 45, 80, 87]
</think>

<response>-52, -43, -20, -17, -3, 4, 45, 80, 87</response>


input: Execute bubble sort to sort 83, 58 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [83, 58]

Pass 1:
  Compare 83 and 58
  Swap 83 and 58
  List after swap: [58, 83]

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

Final sorted list: [58, 83]
</think>

<response>58, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -37, 96, 84, 56, 78, -7, -31, -27, 55, 97.

output:
<think>
Initial list: [-37, 96, 84, 56, 78, -7, -31, -27, 55, 97]

Pass 1:
  Compare -37 and 96
  No swap needed
  Compare 96 and 84
  Swap 96 and 84
  List after swap: [-37, 84, 96, 56, 78, -7, -31, -27, 55, 97]
  Compare 96 and 56
  Swap 96 and 56
  List after swap: [-37, 84, 56, 96, 78, -7, -31, -27, 55, 97]
  Compare 96 and 78
  Swap 96 and 78
  List after swap: [-37, 84, 56, 78, 96, -7, -31, -27, 55, 97]
  Compare 96 and -7
  Swap 96 and -7
  List after swap: [-37, 84, 56, 78, -7, 96, -31, -27, 55, 97]
  Compare 96 and -31
  Swap 96 and -31
  List after swap: [-37, 84, 56, 78, -7, -31, 96, -27, 55, 97]
  Compare 96 and -27
  Swap 96 and -27
  List after swap: [-37, 84, 56, 78, -7, -31, -27, 96, 55, 97]
  Compare 96 and 55
  Swap 96 and 55
  List after swap: [-37, 84, 56, 78, -7, -31, -27, 55, 96, 97]
  Compare 96 and 97
  No swap needed

Pass 2:
  Compare -37 and 84
  No swap needed
  Compare 84 and 56
  Swap 84 and 56
  List after swap: [-37, 56, 84, 78, -7, -31, -27, 55, 96, 97]
  Compare 84 and 78
  Swap 84 and 78
  List after swap: [-37, 56, 78, 84, -7, -31, -27, 55, 96, 97]
  Compare 84 and -7
  Swap 84 and -7
  List after swap: [-37, 56, 78, -7, 84, -31, -27, 55, 96, 97]
  Compare 84 and -31
  Swap 84 and -31
  List after swap: [-37, 56, 78, -7, -31, 84, -27, 55, 96, 97]
  Compare 84 and -27
  Swap 84 and -27
  List after swap: [-37, 56, 78, -7, -31, -27, 84, 55, 96, 97]
  Compare 84 and 55
  Swap 84 and 55
  List after swap: [-37, 56, 78, -7, -31, -27, 55, 84, 96, 97]
  Compare 84 and 96
  No swap needed

Pass 3:
  Compare -37 and 56
  No swap needed
  Compare 56 and 78
  No swap needed
  Compare 78 and -7
  Swap 78 and -7
  List after swap: [-37, 56, -7, 78, -31, -27, 55, 84, 96, 97]
  Compare 78 and -31
  Swap 78 and -31
  List after swap: [-37, 56, -7, -31, 78, -27, 55, 84, 96, 97]
  Compare 78 and -27
  Swap 78 and -27
  List after swap: [-37, 56, -7, -31, -27, 78, 55, 84, 96, 97]
  Compare 78 and 55
  Swap 78 and 55
  List after swap: [-37, 56, -7, -31, -27, 55, 78, 84, 96, 97]
  Compare 78 and 84
  No swap needed

Pass 4:
  Compare -37 and 56
  No swap needed
  Compare 56 and -7
  Swap 56 and -7
  List after swap: [-37, -7, 56, -31, -27, 55, 78, 84, 96, 97]
  Compare 56 and -31
  Swap 56 and -31
  List after swap: [-37, -7, -31, 56, -27, 55, 78, 84, 96, 97]
  Compare 56 and -27
  Swap 56 and -27
  List after swap: [-37, -7, -31, -27, 56, 55, 78, 84, 96, 97]
  Compare 56 and 55
  Swap 56 and 55
  List after swap: [-37, -7, -31, -27, 55, 56, 78, 84, 96, 97]
  Compare 56 and 78
  No swap needed

Pass 5:
  Compare -37 and -7
  No swap needed
  Compare -7 and -31
  Swap -7 and -31
  List after swap: [-37, -31, -7, -27, 55, 56, 78, 84, 96, 97]
  Compare -7 and -27
  Swap -7 and -27
  List after swap: [-37, -31, -27, -7, 55, 56, 78, 84, 96, 97]
  Compare -7 and 55
  No swap needed
  Compare 55 and 56
  No swap needed

Pass 6:
  Compare -37 and -31
  No swap needed
  Compare -31 and -27
  No swap needed
  Compare -27 and -7
  No swap needed
  Compare -7 and 55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -31, -27, -7, 55, 56, 78, 84, 96, 97]
</think>

<response>-37, -31, -27, -7, 55, 56, 78, 84, 96, 97</response>


input: Implement bubble sort on 54, 35, -35, 21, 96, 14, -39 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [54, 35, -35, 21, 96, 14, -39]

Pass 1:
  Compare 54 and 35
  Swap 54 and 35
  List after swap: [35, 54, -35, 21, 96, 14, -39]
  Compare 54 and -35
  Swap 54 and -35
  List after swap: [35, -35, 54, 21, 96, 14, -39]
  Compare 54 and 21
  Swap 54 and 21
  List after swap: [35, -35, 21, 54, 96, 14, -39]
  Compare 54 and 96
  No swap needed
  Compare 96 and 14
  Swap 96 and 14
  List after swap: [35, -35, 21, 54, 14, 96, -39]
  Compare 96 and -39
  Swap 96 and -39
  List after swap: [35, -35, 21, 54, 14, -39, 96]

Pass 2:
  Compare 35 and -35
  Swap 35 and -35
  List after swap: [-35, 35, 21, 54, 14, -39, 96]
  Compare 35 and 21
  Swap 35 and 21
  List after swap: [-35, 21, 35, 54, 14, -39, 96]
  Compare 35 and 54
  No swap needed
  Compare 54 and 14
  Swap 54 and 14
  List after swap: [-35, 21, 35, 14, 54, -39, 96]
  Compare 54 and -39
  Swap 54 and -39
  List after swap: [-35, 21, 35, 14, -39, 54, 96]

Pass 3:
  Compare -35 and 21
  No swap needed
  Compare 21 and 35
  No swap needed
  Compare 35 and 14
  Swap 35 and 14
  List after swap: [-35, 21, 14, 35, -39, 54, 96]
  Compare 35 and -39
  Swap 35 and -39
  List after swap: [-35, 21, 14, -39, 35, 54, 96]

Pass 4:
  Compare -35 and 21
  No swap needed
  Compare 21 and 14
  Swap 21 and 14
  List after swap: [-35, 14, 21, -39, 35, 54, 96]
  Compare 21 and -39
  Swap 21 and -39
  List after swap: [-35, 14, -39, 21, 35, 54, 96]

Pass 5:
  Compare -35 and 14
  No swap needed
  Compare 14 and -39
  Swap 14 and -39
  List after swap: [-35, -39, 14, 21, 35, 54, 96]

Pass 6:
  Compare -35 and -39
  Swap -35 and -39
  List after swap: [-39, -35, 14, 21, 35, 54, 96]

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

Final sorted list: [-39, -35, 14, 21, 35, 54, 96]
</think>

<response>-39, -35, 14, 21, 35, 54, 96</response>


input: Perform a bubble sort on the integers -69, 97, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-69, 97]

Pass 1:
  Compare -69 and 97
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, 97]
</think>

<response>-69, 97</response>


input: Using the bubble sort method, sort 60, -89, 35, 22, -81, -92, 68, -94, -88 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [60, -89, 35, 22, -81, -92, 68, -94, -88]

Pass 1:
  Compare 60 and -89
  Swap 60 and -89
  List after swap: [-89, 60, 35, 22, -81, -92, 68, -94, -88]
  Compare 60 and 35
  Swap 60 and 35
  List after swap: [-89, 35, 60, 22, -81, -92, 68, -94, -88]
  Compare 60 and 22
  Swap 60 and 22
  List after swap: [-89, 35, 22, 60, -81, -92, 68, -94, -88]
  Compare 60 and -81
  Swap 60 and -81
  List after swap: [-89, 35, 22, -81, 60, -92, 68, -94, -88]
  Compare 60 and -92
  Swap 60 and -92
  List after swap: [-89, 35, 22, -81, -92, 60, 68, -94, -88]
  Compare 60 and 68
  No swap needed
  Compare 68 and -94
  Swap 68 and -94
  List after swap: [-89, 35, 22, -81, -92, 60, -94, 68, -88]
  Compare 68 and -88
  Swap 68 and -88
  List after swap: [-89, 35, 22, -81, -92, 60, -94, -88, 68]

Pass 2:
  Compare -89 and 35
  No swap needed
  Compare 35 and 22
  Swap 35 and 22
  List after swap: [-89, 22, 35, -81, -92, 60, -94, -88, 68]
  Compare 35 and -81
  Swap 35 and -81
  List after swap: [-89, 22, -81, 35, -92, 60, -94, -88, 68]
  Compare 35 and -92
  Swap 35 and -92
  List after swap: [-89, 22, -81, -92, 35, 60, -94, -88, 68]
  Compare 35 and 60
  No swap needed
  Compare 60 and -94
  Swap 60 and -94
  List after swap: [-89, 22, -81, -92, 35, -94, 60, -88, 68]
  Compare 60 and -88
  Swap 60 and -88
  List after swap: [-89, 22, -81, -92, 35, -94, -88, 60, 68]

Pass 3:
  Compare -89 and 22
  No swap needed
  Compare 22 and -81
  Swap 22 and -81
  List after swap: [-89, -81, 22, -92, 35, -94, -88, 60, 68]
  Compare 22 and -92
  Swap 22 and -92
  List after swap: [-89, -81, -92, 22, 35, -94, -88, 60, 68]
  Compare 22 and 35
  No swap needed
  Compare 35 and -94
  Swap 35 and -94
  List after swap: [-89, -81, -92, 22, -94, 35, -88, 60, 68]
  Compare 35 and -88
  Swap 35 and -88
  List after swap: [-89, -81, -92, 22, -94, -88, 35, 60, 68]

Pass 4:
  Compare -89 and -81
  No swap needed
  Compare -81 and -92
  Swap -81 and -92
  List after swap: [-89, -92, -81, 22, -94, -88, 35, 60, 68]
  Compare -81 and 22
  No swap needed
  Compare 22 and -94
  Swap 22 and -94
  List after swap: [-89, -92, -81, -94, 22, -88, 35, 60, 68]
  Compare 22 and -88
  Swap 22 and -88
  List after swap: [-89, -92, -81, -94, -88, 22, 35, 60, 68]

Pass 5:
  Compare -89 and -92
  Swap -89 and -92
  List after swap: [-92, -89, -81, -94, -88, 22, 35, 60, 68]
  Compare -89 and -81
  No swap needed
  Compare -81 and -94
  Swap -81 and -94
  List after swap: [-92, -89, -94, -81, -88, 22, 35, 60, 68]
  Compare -81 and -88
  Swap -81 and -88
  List after swap: [-92, -89, -94, -88, -81, 22, 35, 60, 68]

Pass 6:
  Compare -92 and -89
  No swap needed
  Compare -89 and -94
  Swap -89 and -94
  List after swap: [-92, -94, -89, -88, -81, 22, 35, 60, 68]
  Compare -89 and -88
  No swap needed

Pass 7:
  Compare -92 and -94
  Swap -92 and -94
  List after swap: [-94, -92, -89, -88, -81, 22, 35, 60, 68]
  Compare -92 and -89
  No swap needed

Pass 8:
  Compare -94 and -92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -92, -89, -88, -81, 22, 35, 60, 68]
</think>

<response>-94, -92, -89, -88, -81, 22, 35, 60, 68</response>


input: Using the bubble sort method, sort -73, -81, -87, 87, -98 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-73, -81, -87, 87, -98]

Pass 1:
  Compare -73 and -81
  Swap -73 and -81
  List after swap: [-81, -73, -87, 87, -98]
  Compare -73 and -87
  Swap -73 and -87
  List after swap: [-81, -87, -73, 87, -98]
  Compare -73 and 87
  No swap needed
  Compare 87 and -98
  Swap 87 and -98
  List after swap: [-81, -87, -73, -98, 87]

Pass 2:
  Compare -81 and -87
  Swap -81 and -87
  List after swap: [-87, -81, -73, -98, 87]
  Compare -81 and -73
  No swap needed
  Compare -73 and -98
  Swap -73 and -98
  List after swap: [-87, -81, -98, -73, 87]

Pass 3:
  Compare -87 and -81
  No swap needed
  Compare -81 and -98
  Swap -81 and -98
  List after swap: [-87, -98, -81, -73, 87]

Pass 4:
  Compare -87 and -98
  Swap -87 and -98
  List after swap: [-98, -87, -81, -73, 87]

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

Final sorted list: [-98, -87, -81, -73, 87]
</think>

<response>-98, -87, -81, -73, 87</response>


input: Using the bubble sort method, sort -15, 82, -28, -27, 92, 12, -25, -44 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-15, 82, -28, -27, 92, 12, -25, -44]

Pass 1:
  Compare -15 and 82
  No swap needed
  Compare 82 and -28
  Swap 82 and -28
  List after swap: [-15, -28, 82, -27, 92, 12, -25, -44]
  Compare 82 and -27
  Swap 82 and -27
  List after swap: [-15, -28, -27, 82, 92, 12, -25, -44]
  Compare 82 and 92
  No swap needed
  Compare 92 and 12
  Swap 92 and 12
  List after swap: [-15, -28, -27, 82, 12, 92, -25, -44]
  Compare 92 and -25
  Swap 92 and -25
  List after swap: [-15, -28, -27, 82, 12, -25, 92, -44]
  Compare 92 and -44
  Swap 92 and -44
  List after swap: [-15, -28, -27, 82, 12, -25, -44, 92]

Pass 2:
  Compare -15 and -28
  Swap -15 and -28
  List after swap: [-28, -15, -27, 82, 12, -25, -44, 92]
  Compare -15 and -27
  Swap -15 and -27
  List after swap: [-28, -27, -15, 82, 12, -25, -44, 92]
  Compare -15 and 82
  No swap needed
  Compare 82 and 12
  Swap 82 and 12
  List after swap: [-28, -27, -15, 12, 82, -25, -44, 92]
  Compare 82 and -25
  Swap 82 and -25
  List after swap: [-28, -27, -15, 12, -25, 82, -44, 92]
  Compare 82 and -44
  Swap 82 and -44
  List after swap: [-28, -27, -15, 12, -25, -44, 82, 92]

Pass 3:
  Compare -28 and -27
  No swap needed
  Compare -27 and -15
  No swap needed
  Compare -15 and 12
  No swap needed
  Compare 12 and -25
  Swap 12 and -25
  List after swap: [-28, -27, -15, -25, 12, -44, 82, 92]
  Compare 12 and -44
  Swap 12 and -44
  List after swap: [-28, -27, -15, -25, -44, 12, 82, 92]

Pass 4:
  Compare -28 and -27
  No swap needed
  Compare -27 and -15
  No swap needed
  Compare -15 and -25
  Swap -15 and -25
  List after swap: [-28, -27, -25, -15, -44, 12, 82, 92]
  Compare -15 and -44
  Swap -15 and -44
  List after swap: [-28, -27, -25, -44, -15, 12, 82, 92]

Pass 5:
  Compare -28 and -27
  No swap needed
  Compare -27 and -25
  No swap needed
  Compare -25 and -44
  Swap -25 and -44
  List after swap: [-28, -27, -44, -25, -15, 12, 82, 92]

Pass 6:
  Compare -28 and -27
  No swap needed
  Compare -27 and -44
  Swap -27 and -44
  List after swap: [-28, -44, -27, -25, -15, 12, 82, 92]

Pass 7:
  Compare -28 and -44
  Swap -28 and -44
  List after swap: [-44, -28, -27, -25, -15, 12, 82, 92]

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

Final sorted list: [-44, -28, -27, -25, -15, 12, 82, 92]
</think>

<response>-44, -28, -27, -25, -15, 12, 82, 92</response>


input: Carry out the bubble sort algorithm on 81, 92, 71, 34, 61 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [81, 92, 71, 34, 61]

Pass 1:
  Compare 81 and 92
  No swap needed
  Compare 92 and 71
  Swap 92 and 71
  List after swap: [81, 71, 92, 34, 61]
  Compare 92 and 34
  Swap 92 and 34
  List after swap: [81, 71, 34, 92, 61]
  Compare 92 and 61
  Swap 92 and 61
  List after swap: [81, 71, 34, 61, 92]

Pass 2:
  Compare 81 and 71
  Swap 81 and 71
  List after swap: [71, 81, 34, 61, 92]
  Compare 81 and 34
  Swap 81 and 34
  List after swap: [71, 34, 81, 61, 92]
  Compare 81 and 61
  Swap 81 and 61
  List after swap: [71, 34, 61, 81, 92]

Pass 3:
  Compare 71 and 34
  Swap 71 and 34
  List after swap: [34, 71, 61, 81, 92]
  Compare 71 and 61
  Swap 71 and 61
  List after swap: [34, 61, 71, 81, 92]

Pass 4:
  Compare 34 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [34, 61, 71, 81, 92]
</think>

<response>34, 61, 71, 81, 92</response>


input: Carry out the bubble sort algorithm on -7, -73, 92, 33, -23, 52, 31, -20 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-7, -73, 92, 33, -23, 52, 31, -20]

Pass 1:
  Compare -7 and -73
  Swap -7 and -73
  List after swap: [-73, -7, 92, 33, -23, 52, 31, -20]
  Compare -7 and 92
  No swap needed
  Compare 92 and 33
  Swap 92 and 33
  List after swap: [-73, -7, 33, 92, -23, 52, 31, -20]
  Compare 92 and -23
  Swap 92 and -23
  List after swap: [-73, -7, 33, -23, 92, 52, 31, -20]
  Compare 92 and 52
  Swap 92 and 52
  List after swap: [-73, -7, 33, -23, 52, 92, 31, -20]
  Compare 92 and 31
  Swap 92 and 31
  List after swap: [-73, -7, 33, -23, 52, 31, 92, -20]
  Compare 92 and -20
  Swap 92 and -20
  List after swap: [-73, -7, 33, -23, 52, 31, -20, 92]

Pass 2:
  Compare -73 and -7
  No swap needed
  Compare -7 and 33
  No swap needed
  Compare 33 and -23
  Swap 33 and -23
  List after swap: [-73, -7, -23, 33, 52, 31, -20, 92]
  Compare 33 and 52
  No swap needed
  Compare 52 and 31
  Swap 52 and 31
  List after swap: [-73, -7, -23, 33, 31, 52, -20, 92]
  Compare 52 and -20
  Swap 52 and -20
  List after swap: [-73, -7, -23, 33, 31, -20, 52, 92]

Pass 3:
  Compare -73 and -7
  No swap needed
  Compare -7 and -23
  Swap -7 and -23
  List after swap: [-73, -23, -7, 33, 31, -20, 52, 92]
  Compare -7 and 33
  No swap needed
  Compare 33 and 31
  Swap 33 and 31
  List after swap: [-73, -23, -7, 31, 33, -20, 52, 92]
  Compare 33 and -20
  Swap 33 and -20
  List after swap: [-73, -23, -7, 31, -20, 33, 52, 92]

Pass 4:
  Compare -73 and -23
  No swap needed
  Compare -23 and -7
  No swap needed
  Compare -7 and 31
  No swap needed
  Compare 31 and -20
  Swap 31 and -20
  List after swap: [-73, -23, -7, -20, 31, 33, 52, 92]

Pass 5:
  Compare -73 and -23
  No swap needed
  Compare -23 and -7
  No swap needed
  Compare -7 and -20
  Swap -7 and -20
  List after swap: [-73, -23, -20, -7, 31, 33, 52, 92]

Pass 6:
  Compare -73 and -23
  No swap needed
  Compare -23 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -23, -20, -7, 31, 33, 52, 92]
</think>

<response>-73, -23, -20, -7, 31, 33, 52, 92</response>


input: Implement bubble sort on -92, -20, -49, -29, 27 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-92, -20, -49, -29, 27]

Pass 1:
  Compare -92 and -20
  No swap needed
  Compare -20 and -49
  Swap -20 and -49
  List after swap: [-92, -49, -20, -29, 27]
  Compare -20 and -29
  Swap -20 and -29
  List after swap: [-92, -49, -29, -20, 27]
  Compare -20 and 27
  No swap needed

Pass 2:
  Compare -92 and -49
  No swap needed
  Compare -49 and -29
  No swap needed
  Compare -29 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -49, -29, -20, 27]
</think>

<response>-92, -49, -29, -20, 27</response>


input: Arrange the numbers -68, 42, -18, -69 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-68, 42, -18, -69]

Pass 1:
  Compare -68 and 42
  No swap needed
  Compare 42 and -18
  Swap 42 and -18
  List after swap: [-68, -18, 42, -69]
  Compare 42 and -69
  Swap 42 and -69
  List after swap: [-68, -18, -69, 42]

Pass 2:
  Compare -68 and -18
  No swap needed
  Compare -18 and -69
  Swap -18 and -69
  List after swap: [-68, -69, -18, 42]

Pass 3:
  Compare -68 and -69
  Swap -68 and -69
  List after swap: [-69, -68, -18, 42]

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

Final sorted list: [-69, -68, -18, 42]
</think>

<response>-69, -68, -18, 42</response>


input: Arrange the numbers -34, 30, 29, -100, 55 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-34, 30, 29, -100, 55]

Pass 1:
  Compare -34 and 30
  No swap needed
  Compare 30 and 29
  Swap 30 and 29
  List after swap: [-34, 29, 30, -100, 55]
  Compare 30 and -100
  Swap 30 and -100
  List after swap: [-34, 29, -100, 30, 55]
  Compare 30 and 55
  No swap needed

Pass 2:
  Compare -34 and 29
  No swap needed
  Compare 29 and -100
  Swap 29 and -100
  List after swap: [-34, -100, 29, 30, 55]
  Compare 29 and 30
  No swap needed

Pass 3:
  Compare -34 and -100
  Swap -34 and -100
  List after swap: [-100, -34, 29, 30, 55]
  Compare -34 and 29
  No swap needed

Pass 4:
  Compare -100 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -34, 29, 30, 55]
</think>

<response>-100, -34, 29, 30, 55</response>


input: Sort the list -21, 39, -15, 77, 40, -73, 78 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-21, 39, -15, 77, 40, -73, 78]

Pass 1:
  Compare -21 and 39
  No swap needed
  Compare 39 and -15
  Swap 39 and -15
  List after swap: [-21, -15, 39, 77, 40, -73, 78]
  Compare 39 and 77
  No swap needed
  Compare 77 and 40
  Swap 77 and 40
  List after swap: [-21, -15, 39, 40, 77, -73, 78]
  Compare 77 and -73
  Swap 77 and -73
  List after swap: [-21, -15, 39, 40, -73, 77, 78]
  Compare 77 and 78
  No swap needed

Pass 2:
  Compare -21 and -15
  No swap needed
  Compare -15 and 39
  No swap needed
  Compare 39 and 40
  No swap needed
  Compare 40 and -73
  Swap 40 and -73
  List after swap: [-21, -15, 39, -73, 40, 77, 78]
  Compare 40 and 77
  No swap needed

Pass 3:
  Compare -21 and -15
  No swap needed
  Compare -15 and 39
  No swap needed
  Compare 39 and -73
  Swap 39 and -73
  List after swap: [-21, -15, -73, 39, 40, 77, 78]
  Compare 39 and 40
  No swap needed

Pass 4:
  Compare -21 and -15
  No swap needed
  Compare -15 and -73
  Swap -15 and -73
  List after swap: [-21, -73, -15, 39, 40, 77, 78]
  Compare -15 and 39
  No swap needed

Pass 5:
  Compare -21 and -73
  Swap -21 and -73
  List after swap: [-73, -21, -15, 39, 40, 77, 78]
  Compare -21 and -15
  No swap needed

Pass 6:
  Compare -73 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -21, -15, 39, 40, 77, 78]
</think>

<response>-73, -21, -15, 39, 40, 77, 78</response>