input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -94, -38, -2, -73, 30, 95, 77, 9.

output:
<think>
Initial list: [-94, -38, -2, -73, 30, 95, 77, 9]

Pass 1:
  Compare -94 and -38
  No swap needed
  Compare -38 and -2
  No swap needed
  Compare -2 and -73
  Swap -2 and -73
  List after swap: [-94, -38, -73, -2, 30, 95, 77, 9]
  Compare -2 and 30
  No swap needed
  Compare 30 and 95
  No swap needed
  Compare 95 and 77
  Swap 95 and 77
  List after swap: [-94, -38, -73, -2, 30, 77, 95, 9]
  Compare 95 and 9
  Swap 95 and 9
  List after swap: [-94, -38, -73, -2, 30, 77, 9, 95]

Pass 2:
  Compare -94 and -38
  No swap needed
  Compare -38 and -73
  Swap -38 and -73
  List after swap: [-94, -73, -38, -2, 30, 77, 9, 95]
  Compare -38 and -2
  No swap needed
  Compare -2 and 30
  No swap needed
  Compare 30 and 77
  No swap needed
  Compare 77 and 9
  Swap 77 and 9
  List after swap: [-94, -73, -38, -2, 30, 9, 77, 95]

Pass 3:
  Compare -94 and -73
  No swap needed
  Compare -73 and -38
  No swap needed
  Compare -38 and -2
  No swap needed
  Compare -2 and 30
  No swap needed
  Compare 30 and 9
  Swap 30 and 9
  List after swap: [-94, -73, -38, -2, 9, 30, 77, 95]

Pass 4:
  Compare -94 and -73
  No swap needed
  Compare -73 and -38
  No swap needed
  Compare -38 and -2
  No swap needed
  Compare -2 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -73, -38, -2, 9, 30, 77, 95]
</think>

<response>-94, -73, -38, -2, 9, 30, 77, 95</response>


input: Execute bubble sort to sort 16, -58, 87, 42, 37, 66 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [16, -58, 87, 42, 37, 66]

Pass 1:
  Compare 16 and -58
  Swap 16 and -58
  List after swap: [-58, 16, 87, 42, 37, 66]
  Compare 16 and 87
  No swap needed
  Compare 87 and 42
  Swap 87 and 42
  List after swap: [-58, 16, 42, 87, 37, 66]
  Compare 87 and 37
  Swap 87 and 37
  List after swap: [-58, 16, 42, 37, 87, 66]
  Compare 87 and 66
  Swap 87 and 66
  List after swap: [-58, 16, 42, 37, 66, 87]

Pass 2:
  Compare -58 and 16
  No swap needed
  Compare 16 and 42
  No swap needed
  Compare 42 and 37
  Swap 42 and 37
  List after swap: [-58, 16, 37, 42, 66, 87]
  Compare 42 and 66
  No swap needed

Pass 3:
  Compare -58 and 16
  No swap needed
  Compare 16 and 37
  No swap needed
  Compare 37 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, 16, 37, 42, 66, 87]
</think>

<response>-58, 16, 37, 42, 66, 87</response>


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

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

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

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

<response>-89, -23</response>


input: Using the bubble sort method, sort 9, -3, 81, -76, -10, -9 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [9, -3, 81, -76, -10, -9]

Pass 1:
  Compare 9 and -3
  Swap 9 and -3
  List after swap: [-3, 9, 81, -76, -10, -9]
  Compare 9 and 81
  No swap needed
  Compare 81 and -76
  Swap 81 and -76
  List after swap: [-3, 9, -76, 81, -10, -9]
  Compare 81 and -10
  Swap 81 and -10
  List after swap: [-3, 9, -76, -10, 81, -9]
  Compare 81 and -9
  Swap 81 and -9
  List after swap: [-3, 9, -76, -10, -9, 81]

Pass 2:
  Compare -3 and 9
  No swap needed
  Compare 9 and -76
  Swap 9 and -76
  List after swap: [-3, -76, 9, -10, -9, 81]
  Compare 9 and -10
  Swap 9 and -10
  List after swap: [-3, -76, -10, 9, -9, 81]
  Compare 9 and -9
  Swap 9 and -9
  List after swap: [-3, -76, -10, -9, 9, 81]

Pass 3:
  Compare -3 and -76
  Swap -3 and -76
  List after swap: [-76, -3, -10, -9, 9, 81]
  Compare -3 and -10
  Swap -3 and -10
  List after swap: [-76, -10, -3, -9, 9, 81]
  Compare -3 and -9
  Swap -3 and -9
  List after swap: [-76, -10, -9, -3, 9, 81]

Pass 4:
  Compare -76 and -10
  No swap needed
  Compare -10 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -10, -9, -3, 9, 81]
</think>

<response>-76, -10, -9, -3, 9, 81</response>


input: Using the bubble sort method, sort 97, -72, 76, -58, -34, 26, -8, -33 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [97, -72, 76, -58, -34, 26, -8, -33]

Pass 1:
  Compare 97 and -72
  Swap 97 and -72
  List after swap: [-72, 97, 76, -58, -34, 26, -8, -33]
  Compare 97 and 76
  Swap 97 and 76
  List after swap: [-72, 76, 97, -58, -34, 26, -8, -33]
  Compare 97 and -58
  Swap 97 and -58
  List after swap: [-72, 76, -58, 97, -34, 26, -8, -33]
  Compare 97 and -34
  Swap 97 and -34
  List after swap: [-72, 76, -58, -34, 97, 26, -8, -33]
  Compare 97 and 26
  Swap 97 and 26
  List after swap: [-72, 76, -58, -34, 26, 97, -8, -33]
  Compare 97 and -8
  Swap 97 and -8
  List after swap: [-72, 76, -58, -34, 26, -8, 97, -33]
  Compare 97 and -33
  Swap 97 and -33
  List after swap: [-72, 76, -58, -34, 26, -8, -33, 97]

Pass 2:
  Compare -72 and 76
  No swap needed
  Compare 76 and -58
  Swap 76 and -58
  List after swap: [-72, -58, 76, -34, 26, -8, -33, 97]
  Compare 76 and -34
  Swap 76 and -34
  List after swap: [-72, -58, -34, 76, 26, -8, -33, 97]
  Compare 76 and 26
  Swap 76 and 26
  List after swap: [-72, -58, -34, 26, 76, -8, -33, 97]
  Compare 76 and -8
  Swap 76 and -8
  List after swap: [-72, -58, -34, 26, -8, 76, -33, 97]
  Compare 76 and -33
  Swap 76 and -33
  List after swap: [-72, -58, -34, 26, -8, -33, 76, 97]

Pass 3:
  Compare -72 and -58
  No swap needed
  Compare -58 and -34
  No swap needed
  Compare -34 and 26
  No swap needed
  Compare 26 and -8
  Swap 26 and -8
  List after swap: [-72, -58, -34, -8, 26, -33, 76, 97]
  Compare 26 and -33
  Swap 26 and -33
  List after swap: [-72, -58, -34, -8, -33, 26, 76, 97]

Pass 4:
  Compare -72 and -58
  No swap needed
  Compare -58 and -34
  No swap needed
  Compare -34 and -8
  No swap needed
  Compare -8 and -33
  Swap -8 and -33
  List after swap: [-72, -58, -34, -33, -8, 26, 76, 97]

Pass 5:
  Compare -72 and -58
  No swap needed
  Compare -58 and -34
  No swap needed
  Compare -34 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -58, -34, -33, -8, 26, 76, 97]
</think>

<response>-72, -58, -34, -33, -8, 26, 76, 97</response>


input: Carry out the bubble sort algorithm on -90, 84, -60, -52, 8 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-90, 84, -60, -52, 8]

Pass 1:
  Compare -90 and 84
  No swap needed
  Compare 84 and -60
  Swap 84 and -60
  List after swap: [-90, -60, 84, -52, 8]
  Compare 84 and -52
  Swap 84 and -52
  List after swap: [-90, -60, -52, 84, 8]
  Compare 84 and 8
  Swap 84 and 8
  List after swap: [-90, -60, -52, 8, 84]

Pass 2:
  Compare -90 and -60
  No swap needed
  Compare -60 and -52
  No swap needed
  Compare -52 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -60, -52, 8, 84]
</think>

<response>-90, -60, -52, 8, 84</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 46, 55, 23, -58, 17, 30, -74, 45, -63, -72.

output:
<think>
Initial list: [46, 55, 23, -58, 17, 30, -74, 45, -63, -72]

Pass 1:
  Compare 46 and 55
  No swap needed
  Compare 55 and 23
  Swap 55 and 23
  List after swap: [46, 23, 55, -58, 17, 30, -74, 45, -63, -72]
  Compare 55 and -58
  Swap 55 and -58
  List after swap: [46, 23, -58, 55, 17, 30, -74, 45, -63, -72]
  Compare 55 and 17
  Swap 55 and 17
  List after swap: [46, 23, -58, 17, 55, 30, -74, 45, -63, -72]
  Compare 55 and 30
  Swap 55 and 30
  List after swap: [46, 23, -58, 17, 30, 55, -74, 45, -63, -72]
  Compare 55 and -74
  Swap 55 and -74
  List after swap: [46, 23, -58, 17, 30, -74, 55, 45, -63, -72]
  Compare 55 and 45
  Swap 55 and 45
  List after swap: [46, 23, -58, 17, 30, -74, 45, 55, -63, -72]
  Compare 55 and -63
  Swap 55 and -63
  List after swap: [46, 23, -58, 17, 30, -74, 45, -63, 55, -72]
  Compare 55 and -72
  Swap 55 and -72
  List after swap: [46, 23, -58, 17, 30, -74, 45, -63, -72, 55]

Pass 2:
  Compare 46 and 23
  Swap 46 and 23
  List after swap: [23, 46, -58, 17, 30, -74, 45, -63, -72, 55]
  Compare 46 and -58
  Swap 46 and -58
  List after swap: [23, -58, 46, 17, 30, -74, 45, -63, -72, 55]
  Compare 46 and 17
  Swap 46 and 17
  List after swap: [23, -58, 17, 46, 30, -74, 45, -63, -72, 55]
  Compare 46 and 30
  Swap 46 and 30
  List after swap: [23, -58, 17, 30, 46, -74, 45, -63, -72, 55]
  Compare 46 and -74
  Swap 46 and -74
  List after swap: [23, -58, 17, 30, -74, 46, 45, -63, -72, 55]
  Compare 46 and 45
  Swap 46 and 45
  List after swap: [23, -58, 17, 30, -74, 45, 46, -63, -72, 55]
  Compare 46 and -63
  Swap 46 and -63
  List after swap: [23, -58, 17, 30, -74, 45, -63, 46, -72, 55]
  Compare 46 and -72
  Swap 46 and -72
  List after swap: [23, -58, 17, 30, -74, 45, -63, -72, 46, 55]

Pass 3:
  Compare 23 and -58
  Swap 23 and -58
  List after swap: [-58, 23, 17, 30, -74, 45, -63, -72, 46, 55]
  Compare 23 and 17
  Swap 23 and 17
  List after swap: [-58, 17, 23, 30, -74, 45, -63, -72, 46, 55]
  Compare 23 and 30
  No swap needed
  Compare 30 and -74
  Swap 30 and -74
  List after swap: [-58, 17, 23, -74, 30, 45, -63, -72, 46, 55]
  Compare 30 and 45
  No swap needed
  Compare 45 and -63
  Swap 45 and -63
  List after swap: [-58, 17, 23, -74, 30, -63, 45, -72, 46, 55]
  Compare 45 and -72
  Swap 45 and -72
  List after swap: [-58, 17, 23, -74, 30, -63, -72, 45, 46, 55]

Pass 4:
  Compare -58 and 17
  No swap needed
  Compare 17 and 23
  No swap needed
  Compare 23 and -74
  Swap 23 and -74
  List after swap: [-58, 17, -74, 23, 30, -63, -72, 45, 46, 55]
  Compare 23 and 30
  No swap needed
  Compare 30 and -63
  Swap 30 and -63
  List after swap: [-58, 17, -74, 23, -63, 30, -72, 45, 46, 55]
  Compare 30 and -72
  Swap 30 and -72
  List after swap: [-58, 17, -74, 23, -63, -72, 30, 45, 46, 55]

Pass 5:
  Compare -58 and 17
  No swap needed
  Compare 17 and -74
  Swap 17 and -74
  List after swap: [-58, -74, 17, 23, -63, -72, 30, 45, 46, 55]
  Compare 17 and 23
  No swap needed
  Compare 23 and -63
  Swap 23 and -63
  List after swap: [-58, -74, 17, -63, 23, -72, 30, 45, 46, 55]
  Compare 23 and -72
  Swap 23 and -72
  List after swap: [-58, -74, 17, -63, -72, 23, 30, 45, 46, 55]

Pass 6:
  Compare -58 and -74
  Swap -58 and -74
  List after swap: [-74, -58, 17, -63, -72, 23, 30, 45, 46, 55]
  Compare -58 and 17
  No swap needed
  Compare 17 and -63
  Swap 17 and -63
  List after swap: [-74, -58, -63, 17, -72, 23, 30, 45, 46, 55]
  Compare 17 and -72
  Swap 17 and -72
  List after swap: [-74, -58, -63, -72, 17, 23, 30, 45, 46, 55]

Pass 7:
  Compare -74 and -58
  No swap needed
  Compare -58 and -63
  Swap -58 and -63
  List after swap: [-74, -63, -58, -72, 17, 23, 30, 45, 46, 55]
  Compare -58 and -72
  Swap -58 and -72
  List after swap: [-74, -63, -72, -58, 17, 23, 30, 45, 46, 55]

Pass 8:
  Compare -74 and -63
  No swap needed
  Compare -63 and -72
  Swap -63 and -72
  List after swap: [-74, -72, -63, -58, 17, 23, 30, 45, 46, 55]

Pass 9:
  Compare -74 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -72, -63, -58, 17, 23, 30, 45, 46, 55]
</think>

<response>-74, -72, -63, -58, 17, 23, 30, 45, 46, 55</response>


input: Perform a bubble sort on the integers -77, -79, -37, -65, -26, -25, -85, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-77, -79, -37, -65, -26, -25, -85]

Pass 1:
  Compare -77 and -79
  Swap -77 and -79
  List after swap: [-79, -77, -37, -65, -26, -25, -85]
  Compare -77 and -37
  No swap needed
  Compare -37 and -65
  Swap -37 and -65
  List after swap: [-79, -77, -65, -37, -26, -25, -85]
  Compare -37 and -26
  No swap needed
  Compare -26 and -25
  No swap needed
  Compare -25 and -85
  Swap -25 and -85
  List after swap: [-79, -77, -65, -37, -26, -85, -25]

Pass 2:
  Compare -79 and -77
  No swap needed
  Compare -77 and -65
  No swap needed
  Compare -65 and -37
  No swap needed
  Compare -37 and -26
  No swap needed
  Compare -26 and -85
  Swap -26 and -85
  List after swap: [-79, -77, -65, -37, -85, -26, -25]

Pass 3:
  Compare -79 and -77
  No swap needed
  Compare -77 and -65
  No swap needed
  Compare -65 and -37
  No swap needed
  Compare -37 and -85
  Swap -37 and -85
  List after swap: [-79, -77, -65, -85, -37, -26, -25]

Pass 4:
  Compare -79 and -77
  No swap needed
  Compare -77 and -65
  No swap needed
  Compare -65 and -85
  Swap -65 and -85
  List after swap: [-79, -77, -85, -65, -37, -26, -25]

Pass 5:
  Compare -79 and -77
  No swap needed
  Compare -77 and -85
  Swap -77 and -85
  List after swap: [-79, -85, -77, -65, -37, -26, -25]

Pass 6:
  Compare -79 and -85
  Swap -79 and -85
  List after swap: [-85, -79, -77, -65, -37, -26, -25]

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

Final sorted list: [-85, -79, -77, -65, -37, -26, -25]
</think>

<response>-85, -79, -77, -65, -37, -26, -25</response>


input: Execute bubble sort to sort -80, 63, 54, -87, 22 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-80, 63, 54, -87, 22]

Pass 1:
  Compare -80 and 63
  No swap needed
  Compare 63 and 54
  Swap 63 and 54
  List after swap: [-80, 54, 63, -87, 22]
  Compare 63 and -87
  Swap 63 and -87
  List after swap: [-80, 54, -87, 63, 22]
  Compare 63 and 22
  Swap 63 and 22
  List after swap: [-80, 54, -87, 22, 63]

Pass 2:
  Compare -80 and 54
  No swap needed
  Compare 54 and -87
  Swap 54 and -87
  List after swap: [-80, -87, 54, 22, 63]
  Compare 54 and 22
  Swap 54 and 22
  List after swap: [-80, -87, 22, 54, 63]

Pass 3:
  Compare -80 and -87
  Swap -80 and -87
  List after swap: [-87, -80, 22, 54, 63]
  Compare -80 and 22
  No swap needed

Pass 4:
  Compare -87 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -80, 22, 54, 63]
</think>

<response>-87, -80, 22, 54, 63</response>


input: Sort these integers 8, -75 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [8, -75]

Pass 1:
  Compare 8 and -75
  Swap 8 and -75
  List after swap: [-75, 8]

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

Final sorted list: [-75, 8]
</think>

<response>-75, 8</response>


input: Execute bubble sort to sort 62, 72, -37, 65 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [62, 72, -37, 65]

Pass 1:
  Compare 62 and 72
  No swap needed
  Compare 72 and -37
  Swap 72 and -37
  List after swap: [62, -37, 72, 65]
  Compare 72 and 65
  Swap 72 and 65
  List after swap: [62, -37, 65, 72]

Pass 2:
  Compare 62 and -37
  Swap 62 and -37
  List after swap: [-37, 62, 65, 72]
  Compare 62 and 65
  No swap needed

Pass 3:
  Compare -37 and 62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, 62, 65, 72]
</think>

<response>-37, 62, 65, 72</response>


input: Execute bubble sort to sort 28, -98, -69, -89, -34, -66, 92, -27, -88, -90 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [28, -98, -69, -89, -34, -66, 92, -27, -88, -90]

Pass 1:
  Compare 28 and -98
  Swap 28 and -98
  List after swap: [-98, 28, -69, -89, -34, -66, 92, -27, -88, -90]
  Compare 28 and -69
  Swap 28 and -69
  List after swap: [-98, -69, 28, -89, -34, -66, 92, -27, -88, -90]
  Compare 28 and -89
  Swap 28 and -89
  List after swap: [-98, -69, -89, 28, -34, -66, 92, -27, -88, -90]
  Compare 28 and -34
  Swap 28 and -34
  List after swap: [-98, -69, -89, -34, 28, -66, 92, -27, -88, -90]
  Compare 28 and -66
  Swap 28 and -66
  List after swap: [-98, -69, -89, -34, -66, 28, 92, -27, -88, -90]
  Compare 28 and 92
  No swap needed
  Compare 92 and -27
  Swap 92 and -27
  List after swap: [-98, -69, -89, -34, -66, 28, -27, 92, -88, -90]
  Compare 92 and -88
  Swap 92 and -88
  List after swap: [-98, -69, -89, -34, -66, 28, -27, -88, 92, -90]
  Compare 92 and -90
  Swap 92 and -90
  List after swap: [-98, -69, -89, -34, -66, 28, -27, -88, -90, 92]

Pass 2:
  Compare -98 and -69
  No swap needed
  Compare -69 and -89
  Swap -69 and -89
  List after swap: [-98, -89, -69, -34, -66, 28, -27, -88, -90, 92]
  Compare -69 and -34
  No swap needed
  Compare -34 and -66
  Swap -34 and -66
  List after swap: [-98, -89, -69, -66, -34, 28, -27, -88, -90, 92]
  Compare -34 and 28
  No swap needed
  Compare 28 and -27
  Swap 28 and -27
  List after swap: [-98, -89, -69, -66, -34, -27, 28, -88, -90, 92]
  Compare 28 and -88
  Swap 28 and -88
  List after swap: [-98, -89, -69, -66, -34, -27, -88, 28, -90, 92]
  Compare 28 and -90
  Swap 28 and -90
  List after swap: [-98, -89, -69, -66, -34, -27, -88, -90, 28, 92]

Pass 3:
  Compare -98 and -89
  No swap needed
  Compare -89 and -69
  No swap needed
  Compare -69 and -66
  No swap needed
  Compare -66 and -34
  No swap needed
  Compare -34 and -27
  No swap needed
  Compare -27 and -88
  Swap -27 and -88
  List after swap: [-98, -89, -69, -66, -34, -88, -27, -90, 28, 92]
  Compare -27 and -90
  Swap -27 and -90
  List after swap: [-98, -89, -69, -66, -34, -88, -90, -27, 28, 92]

Pass 4:
  Compare -98 and -89
  No swap needed
  Compare -89 and -69
  No swap needed
  Compare -69 and -66
  No swap needed
  Compare -66 and -34
  No swap needed
  Compare -34 and -88
  Swap -34 and -88
  List after swap: [-98, -89, -69, -66, -88, -34, -90, -27, 28, 92]
  Compare -34 and -90
  Swap -34 and -90
  List after swap: [-98, -89, -69, -66, -88, -90, -34, -27, 28, 92]

Pass 5:
  Compare -98 and -89
  No swap needed
  Compare -89 and -69
  No swap needed
  Compare -69 and -66
  No swap needed
  Compare -66 and -88
  Swap -66 and -88
  List after swap: [-98, -89, -69, -88, -66, -90, -34, -27, 28, 92]
  Compare -66 and -90
  Swap -66 and -90
  List after swap: [-98, -89, -69, -88, -90, -66, -34, -27, 28, 92]

Pass 6:
  Compare -98 and -89
  No swap needed
  Compare -89 and -69
  No swap needed
  Compare -69 and -88
  Swap -69 and -88
  List after swap: [-98, -89, -88, -69, -90, -66, -34, -27, 28, 92]
  Compare -69 and -90
  Swap -69 and -90
  List after swap: [-98, -89, -88, -90, -69, -66, -34, -27, 28, 92]

Pass 7:
  Compare -98 and -89
  No swap needed
  Compare -89 and -88
  No swap needed
  Compare -88 and -90
  Swap -88 and -90
  List after swap: [-98, -89, -90, -88, -69, -66, -34, -27, 28, 92]

Pass 8:
  Compare -98 and -89
  No swap needed
  Compare -89 and -90
  Swap -89 and -90
  List after swap: [-98, -90, -89, -88, -69, -66, -34, -27, 28, 92]

Pass 9:
  Compare -98 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -90, -89, -88, -69, -66, -34, -27, 28, 92]
</think>

<response>-98, -90, -89, -88, -69, -66, -34, -27, 28, 92</response>


input: Arrange the numbers -99, -76, 23, 40, -52, 88 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-99, -76, 23, 40, -52, 88]

Pass 1:
  Compare -99 and -76
  No swap needed
  Compare -76 and 23
  No swap needed
  Compare 23 and 40
  No swap needed
  Compare 40 and -52
  Swap 40 and -52
  List after swap: [-99, -76, 23, -52, 40, 88]
  Compare 40 and 88
  No swap needed

Pass 2:
  Compare -99 and -76
  No swap needed
  Compare -76 and 23
  No swap needed
  Compare 23 and -52
  Swap 23 and -52
  List after swap: [-99, -76, -52, 23, 40, 88]
  Compare 23 and 40
  No swap needed

Pass 3:
  Compare -99 and -76
  No swap needed
  Compare -76 and -52
  No swap needed
  Compare -52 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -76, -52, 23, 40, 88]
</think>

<response>-99, -76, -52, 23, 40, 88</response>


input: Perform a bubble sort on the integers 59, -53, 92, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [59, -53, 92]

Pass 1:
  Compare 59 and -53
  Swap 59 and -53
  List after swap: [-53, 59, 92]
  Compare 59 and 92
  No swap needed

Pass 2:
  Compare -53 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, 59, 92]
</think>

<response>-53, 59, 92</response>


input: Using the bubble sort method, sort 30, -18, -37, 98, 97, 36, -79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [30, -18, -37, 98, 97, 36, -79]

Pass 1:
  Compare 30 and -18
  Swap 30 and -18
  List after swap: [-18, 30, -37, 98, 97, 36, -79]
  Compare 30 and -37
  Swap 30 and -37
  List after swap: [-18, -37, 30, 98, 97, 36, -79]
  Compare 30 and 98
  No swap needed
  Compare 98 and 97
  Swap 98 and 97
  List after swap: [-18, -37, 30, 97, 98, 36, -79]
  Compare 98 and 36
  Swap 98 and 36
  List after swap: [-18, -37, 30, 97, 36, 98, -79]
  Compare 98 and -79
  Swap 98 and -79
  List after swap: [-18, -37, 30, 97, 36, -79, 98]

Pass 2:
  Compare -18 and -37
  Swap -18 and -37
  List after swap: [-37, -18, 30, 97, 36, -79, 98]
  Compare -18 and 30
  No swap needed
  Compare 30 and 97
  No swap needed
  Compare 97 and 36
  Swap 97 and 36
  List after swap: [-37, -18, 30, 36, 97, -79, 98]
  Compare 97 and -79
  Swap 97 and -79
  List after swap: [-37, -18, 30, 36, -79, 97, 98]

Pass 3:
  Compare -37 and -18
  No swap needed
  Compare -18 and 30
  No swap needed
  Compare 30 and 36
  No swap needed
  Compare 36 and -79
  Swap 36 and -79
  List after swap: [-37, -18, 30, -79, 36, 97, 98]

Pass 4:
  Compare -37 and -18
  No swap needed
  Compare -18 and 30
  No swap needed
  Compare 30 and -79
  Swap 30 and -79
  List after swap: [-37, -18, -79, 30, 36, 97, 98]

Pass 5:
  Compare -37 and -18
  No swap needed
  Compare -18 and -79
  Swap -18 and -79
  List after swap: [-37, -79, -18, 30, 36, 97, 98]

Pass 6:
  Compare -37 and -79
  Swap -37 and -79
  List after swap: [-79, -37, -18, 30, 36, 97, 98]

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

Final sorted list: [-79, -37, -18, 30, 36, 97, 98]
</think>

<response>-79, -37, -18, 30, 36, 97, 98</response>


input: Arrange the numbers -26, 30, -22, 45, 3 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-26, 30, -22, 45, 3]

Pass 1:
  Compare -26 and 30
  No swap needed
  Compare 30 and -22
  Swap 30 and -22
  List after swap: [-26, -22, 30, 45, 3]
  Compare 30 and 45
  No swap needed
  Compare 45 and 3
  Swap 45 and 3
  List after swap: [-26, -22, 30, 3, 45]

Pass 2:
  Compare -26 and -22
  No swap needed
  Compare -22 and 30
  No swap needed
  Compare 30 and 3
  Swap 30 and 3
  List after swap: [-26, -22, 3, 30, 45]

Pass 3:
  Compare -26 and -22
  No swap needed
  Compare -22 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, -22, 3, 30, 45]
</think>

<response>-26, -22, 3, 30, 45</response>


input: Sort these integers -99, -64, 96, 30, 47, -93, 6, 46 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-99, -64, 96, 30, 47, -93, 6, 46]

Pass 1:
  Compare -99 and -64
  No swap needed
  Compare -64 and 96
  No swap needed
  Compare 96 and 30
  Swap 96 and 30
  List after swap: [-99, -64, 30, 96, 47, -93, 6, 46]
  Compare 96 and 47
  Swap 96 and 47
  List after swap: [-99, -64, 30, 47, 96, -93, 6, 46]
  Compare 96 and -93
  Swap 96 and -93
  List after swap: [-99, -64, 30, 47, -93, 96, 6, 46]
  Compare 96 and 6
  Swap 96 and 6
  List after swap: [-99, -64, 30, 47, -93, 6, 96, 46]
  Compare 96 and 46
  Swap 96 and 46
  List after swap: [-99, -64, 30, 47, -93, 6, 46, 96]

Pass 2:
  Compare -99 and -64
  No swap needed
  Compare -64 and 30
  No swap needed
  Compare 30 and 47
  No swap needed
  Compare 47 and -93
  Swap 47 and -93
  List after swap: [-99, -64, 30, -93, 47, 6, 46, 96]
  Compare 47 and 6
  Swap 47 and 6
  List after swap: [-99, -64, 30, -93, 6, 47, 46, 96]
  Compare 47 and 46
  Swap 47 and 46
  List after swap: [-99, -64, 30, -93, 6, 46, 47, 96]

Pass 3:
  Compare -99 and -64
  No swap needed
  Compare -64 and 30
  No swap needed
  Compare 30 and -93
  Swap 30 and -93
  List after swap: [-99, -64, -93, 30, 6, 46, 47, 96]
  Compare 30 and 6
  Swap 30 and 6
  List after swap: [-99, -64, -93, 6, 30, 46, 47, 96]
  Compare 30 and 46
  No swap needed

Pass 4:
  Compare -99 and -64
  No swap needed
  Compare -64 and -93
  Swap -64 and -93
  List after swap: [-99, -93, -64, 6, 30, 46, 47, 96]
  Compare -64 and 6
  No swap needed
  Compare 6 and 30
  No swap needed

Pass 5:
  Compare -99 and -93
  No swap needed
  Compare -93 and -64
  No swap needed
  Compare -64 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -93, -64, 6, 30, 46, 47, 96]
</think>

<response>-99, -93, -64, 6, 30, 46, 47, 96</response>


input: Implement bubble sort on 4, -46, 19, 81, -93, -3, -95, 87, -20 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [4, -46, 19, 81, -93, -3, -95, 87, -20]

Pass 1:
  Compare 4 and -46
  Swap 4 and -46
  List after swap: [-46, 4, 19, 81, -93, -3, -95, 87, -20]
  Compare 4 and 19
  No swap needed
  Compare 19 and 81
  No swap needed
  Compare 81 and -93
  Swap 81 and -93
  List after swap: [-46, 4, 19, -93, 81, -3, -95, 87, -20]
  Compare 81 and -3
  Swap 81 and -3
  List after swap: [-46, 4, 19, -93, -3, 81, -95, 87, -20]
  Compare 81 and -95
  Swap 81 and -95
  List after swap: [-46, 4, 19, -93, -3, -95, 81, 87, -20]
  Compare 81 and 87
  No swap needed
  Compare 87 and -20
  Swap 87 and -20
  List after swap: [-46, 4, 19, -93, -3, -95, 81, -20, 87]

Pass 2:
  Compare -46 and 4
  No swap needed
  Compare 4 and 19
  No swap needed
  Compare 19 and -93
  Swap 19 and -93
  List after swap: [-46, 4, -93, 19, -3, -95, 81, -20, 87]
  Compare 19 and -3
  Swap 19 and -3
  List after swap: [-46, 4, -93, -3, 19, -95, 81, -20, 87]
  Compare 19 and -95
  Swap 19 and -95
  List after swap: [-46, 4, -93, -3, -95, 19, 81, -20, 87]
  Compare 19 and 81
  No swap needed
  Compare 81 and -20
  Swap 81 and -20
  List after swap: [-46, 4, -93, -3, -95, 19, -20, 81, 87]

Pass 3:
  Compare -46 and 4
  No swap needed
  Compare 4 and -93
  Swap 4 and -93
  List after swap: [-46, -93, 4, -3, -95, 19, -20, 81, 87]
  Compare 4 and -3
  Swap 4 and -3
  List after swap: [-46, -93, -3, 4, -95, 19, -20, 81, 87]
  Compare 4 and -95
  Swap 4 and -95
  List after swap: [-46, -93, -3, -95, 4, 19, -20, 81, 87]
  Compare 4 and 19
  No swap needed
  Compare 19 and -20
  Swap 19 and -20
  List after swap: [-46, -93, -3, -95, 4, -20, 19, 81, 87]

Pass 4:
  Compare -46 and -93
  Swap -46 and -93
  List after swap: [-93, -46, -3, -95, 4, -20, 19, 81, 87]
  Compare -46 and -3
  No swap needed
  Compare -3 and -95
  Swap -3 and -95
  List after swap: [-93, -46, -95, -3, 4, -20, 19, 81, 87]
  Compare -3 and 4
  No swap needed
  Compare 4 and -20
  Swap 4 and -20
  List after swap: [-93, -46, -95, -3, -20, 4, 19, 81, 87]

Pass 5:
  Compare -93 and -46
  No swap needed
  Compare -46 and -95
  Swap -46 and -95
  List after swap: [-93, -95, -46, -3, -20, 4, 19, 81, 87]
  Compare -46 and -3
  No swap needed
  Compare -3 and -20
  Swap -3 and -20
  List after swap: [-93, -95, -46, -20, -3, 4, 19, 81, 87]

Pass 6:
  Compare -93 and -95
  Swap -93 and -95
  List after swap: [-95, -93, -46, -20, -3, 4, 19, 81, 87]
  Compare -93 and -46
  No swap needed
  Compare -46 and -20
  No swap needed

Pass 7:
  Compare -95 and -93
  No swap needed
  Compare -93 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -93, -46, -20, -3, 4, 19, 81, 87]
</think>

<response>-95, -93, -46, -20, -3, 4, 19, 81, 87</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -46, 80, 24, -12, -99, 0, 41, 13, -45.

output:
<think>
Initial list: [-46, 80, 24, -12, -99, 0, 41, 13, -45]

Pass 1:
  Compare -46 and 80
  No swap needed
  Compare 80 and 24
  Swap 80 and 24
  List after swap: [-46, 24, 80, -12, -99, 0, 41, 13, -45]
  Compare 80 and -12
  Swap 80 and -12
  List after swap: [-46, 24, -12, 80, -99, 0, 41, 13, -45]
  Compare 80 and -99
  Swap 80 and -99
  List after swap: [-46, 24, -12, -99, 80, 0, 41, 13, -45]
  Compare 80 and 0
  Swap 80 and 0
  List after swap: [-46, 24, -12, -99, 0, 80, 41, 13, -45]
  Compare 80 and 41
  Swap 80 and 41
  List after swap: [-46, 24, -12, -99, 0, 41, 80, 13, -45]
  Compare 80 and 13
  Swap 80 and 13
  List after swap: [-46, 24, -12, -99, 0, 41, 13, 80, -45]
  Compare 80 and -45
  Swap 80 and -45
  List after swap: [-46, 24, -12, -99, 0, 41, 13, -45, 80]

Pass 2:
  Compare -46 and 24
  No swap needed
  Compare 24 and -12
  Swap 24 and -12
  List after swap: [-46, -12, 24, -99, 0, 41, 13, -45, 80]
  Compare 24 and -99
  Swap 24 and -99
  List after swap: [-46, -12, -99, 24, 0, 41, 13, -45, 80]
  Compare 24 and 0
  Swap 24 and 0
  List after swap: [-46, -12, -99, 0, 24, 41, 13, -45, 80]
  Compare 24 and 41
  No swap needed
  Compare 41 and 13
  Swap 41 and 13
  List after swap: [-46, -12, -99, 0, 24, 13, 41, -45, 80]
  Compare 41 and -45
  Swap 41 and -45
  List after swap: [-46, -12, -99, 0, 24, 13, -45, 41, 80]

Pass 3:
  Compare -46 and -12
  No swap needed
  Compare -12 and -99
  Swap -12 and -99
  List after swap: [-46, -99, -12, 0, 24, 13, -45, 41, 80]
  Compare -12 and 0
  No swap needed
  Compare 0 and 24
  No swap needed
  Compare 24 and 13
  Swap 24 and 13
  List after swap: [-46, -99, -12, 0, 13, 24, -45, 41, 80]
  Compare 24 and -45
  Swap 24 and -45
  List after swap: [-46, -99, -12, 0, 13, -45, 24, 41, 80]

Pass 4:
  Compare -46 and -99
  Swap -46 and -99
  List after swap: [-99, -46, -12, 0, 13, -45, 24, 41, 80]
  Compare -46 and -12
  No swap needed
  Compare -12 and 0
  No swap needed
  Compare 0 and 13
  No swap needed
  Compare 13 and -45
  Swap 13 and -45
  List after swap: [-99, -46, -12, 0, -45, 13, 24, 41, 80]

Pass 5:
  Compare -99 and -46
  No swap needed
  Compare -46 and -12
  No swap needed
  Compare -12 and 0
  No swap needed
  Compare 0 and -45
  Swap 0 and -45
  List after swap: [-99, -46, -12, -45, 0, 13, 24, 41, 80]

Pass 6:
  Compare -99 and -46
  No swap needed
  Compare -46 and -12
  No swap needed
  Compare -12 and -45
  Swap -12 and -45
  List after swap: [-99, -46, -45, -12, 0, 13, 24, 41, 80]

Pass 7:
  Compare -99 and -46
  No swap needed
  Compare -46 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -46, -45, -12, 0, 13, 24, 41, 80]
</think>

<response>-99, -46, -45, -12, 0, 13, 24, 41, 80</response>


input: Arrange the numbers -9, 96, -19, 10 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-9, 96, -19, 10]

Pass 1:
  Compare -9 and 96
  No swap needed
  Compare 96 and -19
  Swap 96 and -19
  List after swap: [-9, -19, 96, 10]
  Compare 96 and 10
  Swap 96 and 10
  List after swap: [-9, -19, 10, 96]

Pass 2:
  Compare -9 and -19
  Swap -9 and -19
  List after swap: [-19, -9, 10, 96]
  Compare -9 and 10
  No swap needed

Pass 3:
  Compare -19 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-19, -9, 10, 96]
</think>

<response>-19, -9, 10, 96</response>


input: Execute bubble sort to sort -77, 89, 87, 57, -16 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-77, 89, 87, 57, -16]

Pass 1:
  Compare -77 and 89
  No swap needed
  Compare 89 and 87
  Swap 89 and 87
  List after swap: [-77, 87, 89, 57, -16]
  Compare 89 and 57
  Swap 89 and 57
  List after swap: [-77, 87, 57, 89, -16]
  Compare 89 and -16
  Swap 89 and -16
  List after swap: [-77, 87, 57, -16, 89]

Pass 2:
  Compare -77 and 87
  No swap needed
  Compare 87 and 57
  Swap 87 and 57
  List after swap: [-77, 57, 87, -16, 89]
  Compare 87 and -16
  Swap 87 and -16
  List after swap: [-77, 57, -16, 87, 89]

Pass 3:
  Compare -77 and 57
  No swap needed
  Compare 57 and -16
  Swap 57 and -16
  List after swap: [-77, -16, 57, 87, 89]

Pass 4:
  Compare -77 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -16, 57, 87, 89]
</think>

<response>-77, -16, 57, 87, 89</response>


input: Sort the list 64, 17, -61, 28, -93 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [64, 17, -61, 28, -93]

Pass 1:
  Compare 64 and 17
  Swap 64 and 17
  List after swap: [17, 64, -61, 28, -93]
  Compare 64 and -61
  Swap 64 and -61
  List after swap: [17, -61, 64, 28, -93]
  Compare 64 and 28
  Swap 64 and 28
  List after swap: [17, -61, 28, 64, -93]
  Compare 64 and -93
  Swap 64 and -93
  List after swap: [17, -61, 28, -93, 64]

Pass 2:
  Compare 17 and -61
  Swap 17 and -61
  List after swap: [-61, 17, 28, -93, 64]
  Compare 17 and 28
  No swap needed
  Compare 28 and -93
  Swap 28 and -93
  List after swap: [-61, 17, -93, 28, 64]

Pass 3:
  Compare -61 and 17
  No swap needed
  Compare 17 and -93
  Swap 17 and -93
  List after swap: [-61, -93, 17, 28, 64]

Pass 4:
  Compare -61 and -93
  Swap -61 and -93
  List after swap: [-93, -61, 17, 28, 64]

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

Final sorted list: [-93, -61, 17, 28, 64]
</think>

<response>-93, -61, 17, 28, 64</response>


input: Sort the list 49, -49, 31, -64, -93 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [49, -49, 31, -64, -93]

Pass 1:
  Compare 49 and -49
  Swap 49 and -49
  List after swap: [-49, 49, 31, -64, -93]
  Compare 49 and 31
  Swap 49 and 31
  List after swap: [-49, 31, 49, -64, -93]
  Compare 49 and -64
  Swap 49 and -64
  List after swap: [-49, 31, -64, 49, -93]
  Compare 49 and -93
  Swap 49 and -93
  List after swap: [-49, 31, -64, -93, 49]

Pass 2:
  Compare -49 and 31
  No swap needed
  Compare 31 and -64
  Swap 31 and -64
  List after swap: [-49, -64, 31, -93, 49]
  Compare 31 and -93
  Swap 31 and -93
  List after swap: [-49, -64, -93, 31, 49]

Pass 3:
  Compare -49 and -64
  Swap -49 and -64
  List after swap: [-64, -49, -93, 31, 49]
  Compare -49 and -93
  Swap -49 and -93
  List after swap: [-64, -93, -49, 31, 49]

Pass 4:
  Compare -64 and -93
  Swap -64 and -93
  List after swap: [-93, -64, -49, 31, 49]

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

Final sorted list: [-93, -64, -49, 31, 49]
</think>

<response>-93, -64, -49, 31, 49</response>


input: Sort these integers 66, 74, -75, 37 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [66, 74, -75, 37]

Pass 1:
  Compare 66 and 74
  No swap needed
  Compare 74 and -75
  Swap 74 and -75
  List after swap: [66, -75, 74, 37]
  Compare 74 and 37
  Swap 74 and 37
  List after swap: [66, -75, 37, 74]

Pass 2:
  Compare 66 and -75
  Swap 66 and -75
  List after swap: [-75, 66, 37, 74]
  Compare 66 and 37
  Swap 66 and 37
  List after swap: [-75, 37, 66, 74]

Pass 3:
  Compare -75 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, 37, 66, 74]
</think>

<response>-75, 37, 66, 74</response>


input: Execute bubble sort to sort -11, 43 in increasing order and detail each phase of the sorting process.

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

Pass 1:
  Compare -11 and 43
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-11, 43</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 78, 25, -15, -42, 9, 0, -35.

output:
<think>
Initial list: [78, 25, -15, -42, 9, 0, -35]

Pass 1:
  Compare 78 and 25
  Swap 78 and 25
  List after swap: [25, 78, -15, -42, 9, 0, -35]
  Compare 78 and -15
  Swap 78 and -15
  List after swap: [25, -15, 78, -42, 9, 0, -35]
  Compare 78 and -42
  Swap 78 and -42
  List after swap: [25, -15, -42, 78, 9, 0, -35]
  Compare 78 and 9
  Swap 78 and 9
  List after swap: [25, -15, -42, 9, 78, 0, -35]
  Compare 78 and 0
  Swap 78 and 0
  List after swap: [25, -15, -42, 9, 0, 78, -35]
  Compare 78 and -35
  Swap 78 and -35
  List after swap: [25, -15, -42, 9, 0, -35, 78]

Pass 2:
  Compare 25 and -15
  Swap 25 and -15
  List after swap: [-15, 25, -42, 9, 0, -35, 78]
  Compare 25 and -42
  Swap 25 and -42
  List after swap: [-15, -42, 25, 9, 0, -35, 78]
  Compare 25 and 9
  Swap 25 and 9
  List after swap: [-15, -42, 9, 25, 0, -35, 78]
  Compare 25 and 0
  Swap 25 and 0
  List after swap: [-15, -42, 9, 0, 25, -35, 78]
  Compare 25 and -35
  Swap 25 and -35
  List after swap: [-15, -42, 9, 0, -35, 25, 78]

Pass 3:
  Compare -15 and -42
  Swap -15 and -42
  List after swap: [-42, -15, 9, 0, -35, 25, 78]
  Compare -15 and 9
  No swap needed
  Compare 9 and 0
  Swap 9 and 0
  List after swap: [-42, -15, 0, 9, -35, 25, 78]
  Compare 9 and -35
  Swap 9 and -35
  List after swap: [-42, -15, 0, -35, 9, 25, 78]

Pass 4:
  Compare -42 and -15
  No swap needed
  Compare -15 and 0
  No swap needed
  Compare 0 and -35
  Swap 0 and -35
  List after swap: [-42, -15, -35, 0, 9, 25, 78]

Pass 5:
  Compare -42 and -15
  No swap needed
  Compare -15 and -35
  Swap -15 and -35
  List after swap: [-42, -35, -15, 0, 9, 25, 78]

Pass 6:
  Compare -42 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -35, -15, 0, 9, 25, 78]
</think>

<response>-42, -35, -15, 0, 9, 25, 78</response>


input: Implement bubble sort on -61, -12, 38, 43, -28, -41, 96, 88, -53 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-61, -12, 38, 43, -28, -41, 96, 88, -53]

Pass 1:
  Compare -61 and -12
  No swap needed
  Compare -12 and 38
  No swap needed
  Compare 38 and 43
  No swap needed
  Compare 43 and -28
  Swap 43 and -28
  List after swap: [-61, -12, 38, -28, 43, -41, 96, 88, -53]
  Compare 43 and -41
  Swap 43 and -41
  List after swap: [-61, -12, 38, -28, -41, 43, 96, 88, -53]
  Compare 43 and 96
  No swap needed
  Compare 96 and 88
  Swap 96 and 88
  List after swap: [-61, -12, 38, -28, -41, 43, 88, 96, -53]
  Compare 96 and -53
  Swap 96 and -53
  List after swap: [-61, -12, 38, -28, -41, 43, 88, -53, 96]

Pass 2:
  Compare -61 and -12
  No swap needed
  Compare -12 and 38
  No swap needed
  Compare 38 and -28
  Swap 38 and -28
  List after swap: [-61, -12, -28, 38, -41, 43, 88, -53, 96]
  Compare 38 and -41
  Swap 38 and -41
  List after swap: [-61, -12, -28, -41, 38, 43, 88, -53, 96]
  Compare 38 and 43
  No swap needed
  Compare 43 and 88
  No swap needed
  Compare 88 and -53
  Swap 88 and -53
  List after swap: [-61, -12, -28, -41, 38, 43, -53, 88, 96]

Pass 3:
  Compare -61 and -12
  No swap needed
  Compare -12 and -28
  Swap -12 and -28
  List after swap: [-61, -28, -12, -41, 38, 43, -53, 88, 96]
  Compare -12 and -41
  Swap -12 and -41
  List after swap: [-61, -28, -41, -12, 38, 43, -53, 88, 96]
  Compare -12 and 38
  No swap needed
  Compare 38 and 43
  No swap needed
  Compare 43 and -53
  Swap 43 and -53
  List after swap: [-61, -28, -41, -12, 38, -53, 43, 88, 96]

Pass 4:
  Compare -61 and -28
  No swap needed
  Compare -28 and -41
  Swap -28 and -41
  List after swap: [-61, -41, -28, -12, 38, -53, 43, 88, 96]
  Compare -28 and -12
  No swap needed
  Compare -12 and 38
  No swap needed
  Compare 38 and -53
  Swap 38 and -53
  List after swap: [-61, -41, -28, -12, -53, 38, 43, 88, 96]

Pass 5:
  Compare -61 and -41
  No swap needed
  Compare -41 and -28
  No swap needed
  Compare -28 and -12
  No swap needed
  Compare -12 and -53
  Swap -12 and -53
  List after swap: [-61, -41, -28, -53, -12, 38, 43, 88, 96]

Pass 6:
  Compare -61 and -41
  No swap needed
  Compare -41 and -28
  No swap needed
  Compare -28 and -53
  Swap -28 and -53
  List after swap: [-61, -41, -53, -28, -12, 38, 43, 88, 96]

Pass 7:
  Compare -61 and -41
  No swap needed
  Compare -41 and -53
  Swap -41 and -53
  List after swap: [-61, -53, -41, -28, -12, 38, 43, 88, 96]

Pass 8:
  Compare -61 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -53, -41, -28, -12, 38, 43, 88, 96]
</think>

<response>-61, -53, -41, -28, -12, 38, 43, 88, 96</response>


input: Perform a bubble sort on the integers -4, 95, -14, 14, -22, 7, 56, -8, -47, -20, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-4, 95, -14, 14, -22, 7, 56, -8, -47, -20]

Pass 1:
  Compare -4 and 95
  No swap needed
  Compare 95 and -14
  Swap 95 and -14
  List after swap: [-4, -14, 95, 14, -22, 7, 56, -8, -47, -20]
  Compare 95 and 14
  Swap 95 and 14
  List after swap: [-4, -14, 14, 95, -22, 7, 56, -8, -47, -20]
  Compare 95 and -22
  Swap 95 and -22
  List after swap: [-4, -14, 14, -22, 95, 7, 56, -8, -47, -20]
  Compare 95 and 7
  Swap 95 and 7
  List after swap: [-4, -14, 14, -22, 7, 95, 56, -8, -47, -20]
  Compare 95 and 56
  Swap 95 and 56
  List after swap: [-4, -14, 14, -22, 7, 56, 95, -8, -47, -20]
  Compare 95 and -8
  Swap 95 and -8
  List after swap: [-4, -14, 14, -22, 7, 56, -8, 95, -47, -20]
  Compare 95 and -47
  Swap 95 and -47
  List after swap: [-4, -14, 14, -22, 7, 56, -8, -47, 95, -20]
  Compare 95 and -20
  Swap 95 and -20
  List after swap: [-4, -14, 14, -22, 7, 56, -8, -47, -20, 95]

Pass 2:
  Compare -4 and -14
  Swap -4 and -14
  List after swap: [-14, -4, 14, -22, 7, 56, -8, -47, -20, 95]
  Compare -4 and 14
  No swap needed
  Compare 14 and -22
  Swap 14 and -22
  List after swap: [-14, -4, -22, 14, 7, 56, -8, -47, -20, 95]
  Compare 14 and 7
  Swap 14 and 7
  List after swap: [-14, -4, -22, 7, 14, 56, -8, -47, -20, 95]
  Compare 14 and 56
  No swap needed
  Compare 56 and -8
  Swap 56 and -8
  List after swap: [-14, -4, -22, 7, 14, -8, 56, -47, -20, 95]
  Compare 56 and -47
  Swap 56 and -47
  List after swap: [-14, -4, -22, 7, 14, -8, -47, 56, -20, 95]
  Compare 56 and -20
  Swap 56 and -20
  List after swap: [-14, -4, -22, 7, 14, -8, -47, -20, 56, 95]

Pass 3:
  Compare -14 and -4
  No swap needed
  Compare -4 and -22
  Swap -4 and -22
  List after swap: [-14, -22, -4, 7, 14, -8, -47, -20, 56, 95]
  Compare -4 and 7
  No swap needed
  Compare 7 and 14
  No swap needed
  Compare 14 and -8
  Swap 14 and -8
  List after swap: [-14, -22, -4, 7, -8, 14, -47, -20, 56, 95]
  Compare 14 and -47
  Swap 14 and -47
  List after swap: [-14, -22, -4, 7, -8, -47, 14, -20, 56, 95]
  Compare 14 and -20
  Swap 14 and -20
  List after swap: [-14, -22, -4, 7, -8, -47, -20, 14, 56, 95]

Pass 4:
  Compare -14 and -22
  Swap -14 and -22
  List after swap: [-22, -14, -4, 7, -8, -47, -20, 14, 56, 95]
  Compare -14 and -4
  No swap needed
  Compare -4 and 7
  No swap needed
  Compare 7 and -8
  Swap 7 and -8
  List after swap: [-22, -14, -4, -8, 7, -47, -20, 14, 56, 95]
  Compare 7 and -47
  Swap 7 and -47
  List after swap: [-22, -14, -4, -8, -47, 7, -20, 14, 56, 95]
  Compare 7 and -20
  Swap 7 and -20
  List after swap: [-22, -14, -4, -8, -47, -20, 7, 14, 56, 95]

Pass 5:
  Compare -22 and -14
  No swap needed
  Compare -14 and -4
  No swap needed
  Compare -4 and -8
  Swap -4 and -8
  List after swap: [-22, -14, -8, -4, -47, -20, 7, 14, 56, 95]
  Compare -4 and -47
  Swap -4 and -47
  List after swap: [-22, -14, -8, -47, -4, -20, 7, 14, 56, 95]
  Compare -4 and -20
  Swap -4 and -20
  List after swap: [-22, -14, -8, -47, -20, -4, 7, 14, 56, 95]

Pass 6:
  Compare -22 and -14
  No swap needed
  Compare -14 and -8
  No swap needed
  Compare -8 and -47
  Swap -8 and -47
  List after swap: [-22, -14, -47, -8, -20, -4, 7, 14, 56, 95]
  Compare -8 and -20
  Swap -8 and -20
  List after swap: [-22, -14, -47, -20, -8, -4, 7, 14, 56, 95]

Pass 7:
  Compare -22 and -14
  No swap needed
  Compare -14 and -47
  Swap -14 and -47
  List after swap: [-22, -47, -14, -20, -8, -4, 7, 14, 56, 95]
  Compare -14 and -20
  Swap -14 and -20
  List after swap: [-22, -47, -20, -14, -8, -4, 7, 14, 56, 95]

Pass 8:
  Compare -22 and -47
  Swap -22 and -47
  List after swap: [-47, -22, -20, -14, -8, -4, 7, 14, 56, 95]
  Compare -22 and -20
  No swap needed

Pass 9:
  Compare -47 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -22, -20, -14, -8, -4, 7, 14, 56, 95]
</think>

<response>-47, -22, -20, -14, -8, -4, 7, 14, 56, 95</response>


input: Sort these integers -76, 75, -32, -43, 82 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-76, 75, -32, -43, 82]

Pass 1:
  Compare -76 and 75
  No swap needed
  Compare 75 and -32
  Swap 75 and -32
  List after swap: [-76, -32, 75, -43, 82]
  Compare 75 and -43
  Swap 75 and -43
  List after swap: [-76, -32, -43, 75, 82]
  Compare 75 and 82
  No swap needed

Pass 2:
  Compare -76 and -32
  No swap needed
  Compare -32 and -43
  Swap -32 and -43
  List after swap: [-76, -43, -32, 75, 82]
  Compare -32 and 75
  No swap needed

Pass 3:
  Compare -76 and -43
  No swap needed
  Compare -43 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -43, -32, 75, 82]
</think>

<response>-76, -43, -32, 75, 82</response>


input: Using the bubble sort method, sort 75, -37, -1, 3, 28, 64, -6 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [75, -37, -1, 3, 28, 64, -6]

Pass 1:
  Compare 75 and -37
  Swap 75 and -37
  List after swap: [-37, 75, -1, 3, 28, 64, -6]
  Compare 75 and -1
  Swap 75 and -1
  List after swap: [-37, -1, 75, 3, 28, 64, -6]
  Compare 75 and 3
  Swap 75 and 3
  List after swap: [-37, -1, 3, 75, 28, 64, -6]
  Compare 75 and 28
  Swap 75 and 28
  List after swap: [-37, -1, 3, 28, 75, 64, -6]
  Compare 75 and 64
  Swap 75 and 64
  List after swap: [-37, -1, 3, 28, 64, 75, -6]
  Compare 75 and -6
  Swap 75 and -6
  List after swap: [-37, -1, 3, 28, 64, -6, 75]

Pass 2:
  Compare -37 and -1
  No swap needed
  Compare -1 and 3
  No swap needed
  Compare 3 and 28
  No swap needed
  Compare 28 and 64
  No swap needed
  Compare 64 and -6
  Swap 64 and -6
  List after swap: [-37, -1, 3, 28, -6, 64, 75]

Pass 3:
  Compare -37 and -1
  No swap needed
  Compare -1 and 3
  No swap needed
  Compare 3 and 28
  No swap needed
  Compare 28 and -6
  Swap 28 and -6
  List after swap: [-37, -1, 3, -6, 28, 64, 75]

Pass 4:
  Compare -37 and -1
  No swap needed
  Compare -1 and 3
  No swap needed
  Compare 3 and -6
  Swap 3 and -6
  List after swap: [-37, -1, -6, 3, 28, 64, 75]

Pass 5:
  Compare -37 and -1
  No swap needed
  Compare -1 and -6
  Swap -1 and -6
  List after swap: [-37, -6, -1, 3, 28, 64, 75]

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

Final sorted list: [-37, -6, -1, 3, 28, 64, 75]
</think>

<response>-37, -6, -1, 3, 28, 64, 75</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 95, -93, -9, 15, 81, -42.

output:
<think>
Initial list: [95, -93, -9, 15, 81, -42]

Pass 1:
  Compare 95 and -93
  Swap 95 and -93
  List after swap: [-93, 95, -9, 15, 81, -42]
  Compare 95 and -9
  Swap 95 and -9
  List after swap: [-93, -9, 95, 15, 81, -42]
  Compare 95 and 15
  Swap 95 and 15
  List after swap: [-93, -9, 15, 95, 81, -42]
  Compare 95 and 81
  Swap 95 and 81
  List after swap: [-93, -9, 15, 81, 95, -42]
  Compare 95 and -42
  Swap 95 and -42
  List after swap: [-93, -9, 15, 81, -42, 95]

Pass 2:
  Compare -93 and -9
  No swap needed
  Compare -9 and 15
  No swap needed
  Compare 15 and 81
  No swap needed
  Compare 81 and -42
  Swap 81 and -42
  List after swap: [-93, -9, 15, -42, 81, 95]

Pass 3:
  Compare -93 and -9
  No swap needed
  Compare -9 and 15
  No swap needed
  Compare 15 and -42
  Swap 15 and -42
  List after swap: [-93, -9, -42, 15, 81, 95]

Pass 4:
  Compare -93 and -9
  No swap needed
  Compare -9 and -42
  Swap -9 and -42
  List after swap: [-93, -42, -9, 15, 81, 95]

Pass 5:
  Compare -93 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -42, -9, 15, 81, 95]
</think>

<response>-93, -42, -9, 15, 81, 95</response>


input: Perform a bubble sort on the integers -36, 58, 94, -41, 45, 68, -13, -33, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-36, 58, 94, -41, 45, 68, -13, -33]

Pass 1:
  Compare -36 and 58
  No swap needed
  Compare 58 and 94
  No swap needed
  Compare 94 and -41
  Swap 94 and -41
  List after swap: [-36, 58, -41, 94, 45, 68, -13, -33]
  Compare 94 and 45
  Swap 94 and 45
  List after swap: [-36, 58, -41, 45, 94, 68, -13, -33]
  Compare 94 and 68
  Swap 94 and 68
  List after swap: [-36, 58, -41, 45, 68, 94, -13, -33]
  Compare 94 and -13
  Swap 94 and -13
  List after swap: [-36, 58, -41, 45, 68, -13, 94, -33]
  Compare 94 and -33
  Swap 94 and -33
  List after swap: [-36, 58, -41, 45, 68, -13, -33, 94]

Pass 2:
  Compare -36 and 58
  No swap needed
  Compare 58 and -41
  Swap 58 and -41
  List after swap: [-36, -41, 58, 45, 68, -13, -33, 94]
  Compare 58 and 45
  Swap 58 and 45
  List after swap: [-36, -41, 45, 58, 68, -13, -33, 94]
  Compare 58 and 68
  No swap needed
  Compare 68 and -13
  Swap 68 and -13
  List after swap: [-36, -41, 45, 58, -13, 68, -33, 94]
  Compare 68 and -33
  Swap 68 and -33
  List after swap: [-36, -41, 45, 58, -13, -33, 68, 94]

Pass 3:
  Compare -36 and -41
  Swap -36 and -41
  List after swap: [-41, -36, 45, 58, -13, -33, 68, 94]
  Compare -36 and 45
  No swap needed
  Compare 45 and 58
  No swap needed
  Compare 58 and -13
  Swap 58 and -13
  List after swap: [-41, -36, 45, -13, 58, -33, 68, 94]
  Compare 58 and -33
  Swap 58 and -33
  List after swap: [-41, -36, 45, -13, -33, 58, 68, 94]

Pass 4:
  Compare -41 and -36
  No swap needed
  Compare -36 and 45
  No swap needed
  Compare 45 and -13
  Swap 45 and -13
  List after swap: [-41, -36, -13, 45, -33, 58, 68, 94]
  Compare 45 and -33
  Swap 45 and -33
  List after swap: [-41, -36, -13, -33, 45, 58, 68, 94]

Pass 5:
  Compare -41 and -36
  No swap needed
  Compare -36 and -13
  No swap needed
  Compare -13 and -33
  Swap -13 and -33
  List after swap: [-41, -36, -33, -13, 45, 58, 68, 94]

Pass 6:
  Compare -41 and -36
  No swap needed
  Compare -36 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -36, -33, -13, 45, 58, 68, 94]
</think>

<response>-41, -36, -33, -13, 45, 58, 68, 94</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -94, -47, -93.

output:
<think>
Initial list: [-94, -47, -93]

Pass 1:
  Compare -94 and -47
  No swap needed
  Compare -47 and -93
  Swap -47 and -93
  List after swap: [-94, -93, -47]

Pass 2:
  Compare -94 and -93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -93, -47]
</think>

<response>-94, -93, -47</response>


input: Sort these integers 81, -60, 23, -11, 83, -33, -65, 42, 8, -22 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [81, -60, 23, -11, 83, -33, -65, 42, 8, -22]

Pass 1:
  Compare 81 and -60
  Swap 81 and -60
  List after swap: [-60, 81, 23, -11, 83, -33, -65, 42, 8, -22]
  Compare 81 and 23
  Swap 81 and 23
  List after swap: [-60, 23, 81, -11, 83, -33, -65, 42, 8, -22]
  Compare 81 and -11
  Swap 81 and -11
  List after swap: [-60, 23, -11, 81, 83, -33, -65, 42, 8, -22]
  Compare 81 and 83
  No swap needed
  Compare 83 and -33
  Swap 83 and -33
  List after swap: [-60, 23, -11, 81, -33, 83, -65, 42, 8, -22]
  Compare 83 and -65
  Swap 83 and -65
  List after swap: [-60, 23, -11, 81, -33, -65, 83, 42, 8, -22]
  Compare 83 and 42
  Swap 83 and 42
  List after swap: [-60, 23, -11, 81, -33, -65, 42, 83, 8, -22]
  Compare 83 and 8
  Swap 83 and 8
  List after swap: [-60, 23, -11, 81, -33, -65, 42, 8, 83, -22]
  Compare 83 and -22
  Swap 83 and -22
  List after swap: [-60, 23, -11, 81, -33, -65, 42, 8, -22, 83]

Pass 2:
  Compare -60 and 23
  No swap needed
  Compare 23 and -11
  Swap 23 and -11
  List after swap: [-60, -11, 23, 81, -33, -65, 42, 8, -22, 83]
  Compare 23 and 81
  No swap needed
  Compare 81 and -33
  Swap 81 and -33
  List after swap: [-60, -11, 23, -33, 81, -65, 42, 8, -22, 83]
  Compare 81 and -65
  Swap 81 and -65
  List after swap: [-60, -11, 23, -33, -65, 81, 42, 8, -22, 83]
  Compare 81 and 42
  Swap 81 and 42
  List after swap: [-60, -11, 23, -33, -65, 42, 81, 8, -22, 83]
  Compare 81 and 8
  Swap 81 and 8
  List after swap: [-60, -11, 23, -33, -65, 42, 8, 81, -22, 83]
  Compare 81 and -22
  Swap 81 and -22
  List after swap: [-60, -11, 23, -33, -65, 42, 8, -22, 81, 83]

Pass 3:
  Compare -60 and -11
  No swap needed
  Compare -11 and 23
  No swap needed
  Compare 23 and -33
  Swap 23 and -33
  List after swap: [-60, -11, -33, 23, -65, 42, 8, -22, 81, 83]
  Compare 23 and -65
  Swap 23 and -65
  List after swap: [-60, -11, -33, -65, 23, 42, 8, -22, 81, 83]
  Compare 23 and 42
  No swap needed
  Compare 42 and 8
  Swap 42 and 8
  List after swap: [-60, -11, -33, -65, 23, 8, 42, -22, 81, 83]
  Compare 42 and -22
  Swap 42 and -22
  List after swap: [-60, -11, -33, -65, 23, 8, -22, 42, 81, 83]

Pass 4:
  Compare -60 and -11
  No swap needed
  Compare -11 and -33
  Swap -11 and -33
  List after swap: [-60, -33, -11, -65, 23, 8, -22, 42, 81, 83]
  Compare -11 and -65
  Swap -11 and -65
  List after swap: [-60, -33, -65, -11, 23, 8, -22, 42, 81, 83]
  Compare -11 and 23
  No swap needed
  Compare 23 and 8
  Swap 23 and 8
  List after swap: [-60, -33, -65, -11, 8, 23, -22, 42, 81, 83]
  Compare 23 and -22
  Swap 23 and -22
  List after swap: [-60, -33, -65, -11, 8, -22, 23, 42, 81, 83]

Pass 5:
  Compare -60 and -33
  No swap needed
  Compare -33 and -65
  Swap -33 and -65
  List after swap: [-60, -65, -33, -11, 8, -22, 23, 42, 81, 83]
  Compare -33 and -11
  No swap needed
  Compare -11 and 8
  No swap needed
  Compare 8 and -22
  Swap 8 and -22
  List after swap: [-60, -65, -33, -11, -22, 8, 23, 42, 81, 83]

Pass 6:
  Compare -60 and -65
  Swap -60 and -65
  List after swap: [-65, -60, -33, -11, -22, 8, 23, 42, 81, 83]
  Compare -60 and -33
  No swap needed
  Compare -33 and -11
  No swap needed
  Compare -11 and -22
  Swap -11 and -22
  List after swap: [-65, -60, -33, -22, -11, 8, 23, 42, 81, 83]

Pass 7:
  Compare -65 and -60
  No swap needed
  Compare -60 and -33
  No swap needed
  Compare -33 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -60, -33, -22, -11, 8, 23, 42, 81, 83]
</think>

<response>-65, -60, -33, -22, -11, 8, 23, 42, 81, 83</response>


input: Perform a bubble sort on the integers 56, -45, 32, -58, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [56, -45, 32, -58]

Pass 1:
  Compare 56 and -45
  Swap 56 and -45
  List after swap: [-45, 56, 32, -58]
  Compare 56 and 32
  Swap 56 and 32
  List after swap: [-45, 32, 56, -58]
  Compare 56 and -58
  Swap 56 and -58
  List after swap: [-45, 32, -58, 56]

Pass 2:
  Compare -45 and 32
  No swap needed
  Compare 32 and -58
  Swap 32 and -58
  List after swap: [-45, -58, 32, 56]

Pass 3:
  Compare -45 and -58
  Swap -45 and -58
  List after swap: [-58, -45, 32, 56]

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

Final sorted list: [-58, -45, 32, 56]
</think>

<response>-58, -45, 32, 56</response>


input: Implement bubble sort on 7, 75, 56, -22, 18, 5, -41, -96, 6, 67 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [7, 75, 56, -22, 18, 5, -41, -96, 6, 67]

Pass 1:
  Compare 7 and 75
  No swap needed
  Compare 75 and 56
  Swap 75 and 56
  List after swap: [7, 56, 75, -22, 18, 5, -41, -96, 6, 67]
  Compare 75 and -22
  Swap 75 and -22
  List after swap: [7, 56, -22, 75, 18, 5, -41, -96, 6, 67]
  Compare 75 and 18
  Swap 75 and 18
  List after swap: [7, 56, -22, 18, 75, 5, -41, -96, 6, 67]
  Compare 75 and 5
  Swap 75 and 5
  List after swap: [7, 56, -22, 18, 5, 75, -41, -96, 6, 67]
  Compare 75 and -41
  Swap 75 and -41
  List after swap: [7, 56, -22, 18, 5, -41, 75, -96, 6, 67]
  Compare 75 and -96
  Swap 75 and -96
  List after swap: [7, 56, -22, 18, 5, -41, -96, 75, 6, 67]
  Compare 75 and 6
  Swap 75 and 6
  List after swap: [7, 56, -22, 18, 5, -41, -96, 6, 75, 67]
  Compare 75 and 67
  Swap 75 and 67
  List after swap: [7, 56, -22, 18, 5, -41, -96, 6, 67, 75]

Pass 2:
  Compare 7 and 56
  No swap needed
  Compare 56 and -22
  Swap 56 and -22
  List after swap: [7, -22, 56, 18, 5, -41, -96, 6, 67, 75]
  Compare 56 and 18
  Swap 56 and 18
  List after swap: [7, -22, 18, 56, 5, -41, -96, 6, 67, 75]
  Compare 56 and 5
  Swap 56 and 5
  List after swap: [7, -22, 18, 5, 56, -41, -96, 6, 67, 75]
  Compare 56 and -41
  Swap 56 and -41
  List after swap: [7, -22, 18, 5, -41, 56, -96, 6, 67, 75]
  Compare 56 and -96
  Swap 56 and -96
  List after swap: [7, -22, 18, 5, -41, -96, 56, 6, 67, 75]
  Compare 56 and 6
  Swap 56 and 6
  List after swap: [7, -22, 18, 5, -41, -96, 6, 56, 67, 75]
  Compare 56 and 67
  No swap needed

Pass 3:
  Compare 7 and -22
  Swap 7 and -22
  List after swap: [-22, 7, 18, 5, -41, -96, 6, 56, 67, 75]
  Compare 7 and 18
  No swap needed
  Compare 18 and 5
  Swap 18 and 5
  List after swap: [-22, 7, 5, 18, -41, -96, 6, 56, 67, 75]
  Compare 18 and -41
  Swap 18 and -41
  List after swap: [-22, 7, 5, -41, 18, -96, 6, 56, 67, 75]
  Compare 18 and -96
  Swap 18 and -96
  List after swap: [-22, 7, 5, -41, -96, 18, 6, 56, 67, 75]
  Compare 18 and 6
  Swap 18 and 6
  List after swap: [-22, 7, 5, -41, -96, 6, 18, 56, 67, 75]
  Compare 18 and 56
  No swap needed

Pass 4:
  Compare -22 and 7
  No swap needed
  Compare 7 and 5
  Swap 7 and 5
  List after swap: [-22, 5, 7, -41, -96, 6, 18, 56, 67, 75]
  Compare 7 and -41
  Swap 7 and -41
  List after swap: [-22, 5, -41, 7, -96, 6, 18, 56, 67, 75]
  Compare 7 and -96
  Swap 7 and -96
  List after swap: [-22, 5, -41, -96, 7, 6, 18, 56, 67, 75]
  Compare 7 and 6
  Swap 7 and 6
  List after swap: [-22, 5, -41, -96, 6, 7, 18, 56, 67, 75]
  Compare 7 and 18
  No swap needed

Pass 5:
  Compare -22 and 5
  No swap needed
  Compare 5 and -41
  Swap 5 and -41
  List after swap: [-22, -41, 5, -96, 6, 7, 18, 56, 67, 75]
  Compare 5 and -96
  Swap 5 and -96
  List after swap: [-22, -41, -96, 5, 6, 7, 18, 56, 67, 75]
  Compare 5 and 6
  No swap needed
  Compare 6 and 7
  No swap needed

Pass 6:
  Compare -22 and -41
  Swap -22 and -41
  List after swap: [-41, -22, -96, 5, 6, 7, 18, 56, 67, 75]
  Compare -22 and -96
  Swap -22 and -96
  List after swap: [-41, -96, -22, 5, 6, 7, 18, 56, 67, 75]
  Compare -22 and 5
  No swap needed
  Compare 5 and 6
  No swap needed

Pass 7:
  Compare -41 and -96
  Swap -41 and -96
  List after swap: [-96, -41, -22, 5, 6, 7, 18, 56, 67, 75]
  Compare -41 and -22
  No swap needed
  Compare -22 and 5
  No swap needed

Pass 8:
  Compare -96 and -41
  No swap needed
  Compare -41 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -41, -22, 5, 6, 7, 18, 56, 67, 75]
</think>

<response>-96, -41, -22, 5, 6, 7, 18, 56, 67, 75</response>


input: Carry out the bubble sort algorithm on 68, 72, -88, 93, -11, -25, -80, 91, 2 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [68, 72, -88, 93, -11, -25, -80, 91, 2]

Pass 1:
  Compare 68 and 72
  No swap needed
  Compare 72 and -88
  Swap 72 and -88
  List after swap: [68, -88, 72, 93, -11, -25, -80, 91, 2]
  Compare 72 and 93
  No swap needed
  Compare 93 and -11
  Swap 93 and -11
  List after swap: [68, -88, 72, -11, 93, -25, -80, 91, 2]
  Compare 93 and -25
  Swap 93 and -25
  List after swap: [68, -88, 72, -11, -25, 93, -80, 91, 2]
  Compare 93 and -80
  Swap 93 and -80
  List after swap: [68, -88, 72, -11, -25, -80, 93, 91, 2]
  Compare 93 and 91
  Swap 93 and 91
  List after swap: [68, -88, 72, -11, -25, -80, 91, 93, 2]
  Compare 93 and 2
  Swap 93 and 2
  List after swap: [68, -88, 72, -11, -25, -80, 91, 2, 93]

Pass 2:
  Compare 68 and -88
  Swap 68 and -88
  List after swap: [-88, 68, 72, -11, -25, -80, 91, 2, 93]
  Compare 68 and 72
  No swap needed
  Compare 72 and -11
  Swap 72 and -11
  List after swap: [-88, 68, -11, 72, -25, -80, 91, 2, 93]
  Compare 72 and -25
  Swap 72 and -25
  List after swap: [-88, 68, -11, -25, 72, -80, 91, 2, 93]
  Compare 72 and -80
  Swap 72 and -80
  List after swap: [-88, 68, -11, -25, -80, 72, 91, 2, 93]
  Compare 72 and 91
  No swap needed
  Compare 91 and 2
  Swap 91 and 2
  List after swap: [-88, 68, -11, -25, -80, 72, 2, 91, 93]

Pass 3:
  Compare -88 and 68
  No swap needed
  Compare 68 and -11
  Swap 68 and -11
  List after swap: [-88, -11, 68, -25, -80, 72, 2, 91, 93]
  Compare 68 and -25
  Swap 68 and -25
  List after swap: [-88, -11, -25, 68, -80, 72, 2, 91, 93]
  Compare 68 and -80
  Swap 68 and -80
  List after swap: [-88, -11, -25, -80, 68, 72, 2, 91, 93]
  Compare 68 and 72
  No swap needed
  Compare 72 and 2
  Swap 72 and 2
  List after swap: [-88, -11, -25, -80, 68, 2, 72, 91, 93]

Pass 4:
  Compare -88 and -11
  No swap needed
  Compare -11 and -25
  Swap -11 and -25
  List after swap: [-88, -25, -11, -80, 68, 2, 72, 91, 93]
  Compare -11 and -80
  Swap -11 and -80
  List after swap: [-88, -25, -80, -11, 68, 2, 72, 91, 93]
  Compare -11 and 68
  No swap needed
  Compare 68 and 2
  Swap 68 and 2
  List after swap: [-88, -25, -80, -11, 2, 68, 72, 91, 93]

Pass 5:
  Compare -88 and -25
  No swap needed
  Compare -25 and -80
  Swap -25 and -80
  List after swap: [-88, -80, -25, -11, 2, 68, 72, 91, 93]
  Compare -25 and -11
  No swap needed
  Compare -11 and 2
  No swap needed

Pass 6:
  Compare -88 and -80
  No swap needed
  Compare -80 and -25
  No swap needed
  Compare -25 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -80, -25, -11, 2, 68, 72, 91, 93]
</think>

<response>-88, -80, -25, -11, 2, 68, 72, 91, 93</response>


input: Execute bubble sort to sort 77, -28 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [77, -28]

Pass 1:
  Compare 77 and -28
  Swap 77 and -28
  List after swap: [-28, 77]

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

Final sorted list: [-28, 77]
</think>

<response>-28, 77</response>


input: Sort these integers -77, 93, -59, -86, 34, -79, -96 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-77, 93, -59, -86, 34, -79, -96]

Pass 1:
  Compare -77 and 93
  No swap needed
  Compare 93 and -59
  Swap 93 and -59
  List after swap: [-77, -59, 93, -86, 34, -79, -96]
  Compare 93 and -86
  Swap 93 and -86
  List after swap: [-77, -59, -86, 93, 34, -79, -96]
  Compare 93 and 34
  Swap 93 and 34
  List after swap: [-77, -59, -86, 34, 93, -79, -96]
  Compare 93 and -79
  Swap 93 and -79
  List after swap: [-77, -59, -86, 34, -79, 93, -96]
  Compare 93 and -96
  Swap 93 and -96
  List after swap: [-77, -59, -86, 34, -79, -96, 93]

Pass 2:
  Compare -77 and -59
  No swap needed
  Compare -59 and -86
  Swap -59 and -86
  List after swap: [-77, -86, -59, 34, -79, -96, 93]
  Compare -59 and 34
  No swap needed
  Compare 34 and -79
  Swap 34 and -79
  List after swap: [-77, -86, -59, -79, 34, -96, 93]
  Compare 34 and -96
  Swap 34 and -96
  List after swap: [-77, -86, -59, -79, -96, 34, 93]

Pass 3:
  Compare -77 and -86
  Swap -77 and -86
  List after swap: [-86, -77, -59, -79, -96, 34, 93]
  Compare -77 and -59
  No swap needed
  Compare -59 and -79
  Swap -59 and -79
  List after swap: [-86, -77, -79, -59, -96, 34, 93]
  Compare -59 and -96
  Swap -59 and -96
  List after swap: [-86, -77, -79, -96, -59, 34, 93]

Pass 4:
  Compare -86 and -77
  No swap needed
  Compare -77 and -79
  Swap -77 and -79
  List after swap: [-86, -79, -77, -96, -59, 34, 93]
  Compare -77 and -96
  Swap -77 and -96
  List after swap: [-86, -79, -96, -77, -59, 34, 93]

Pass 5:
  Compare -86 and -79
  No swap needed
  Compare -79 and -96
  Swap -79 and -96
  List after swap: [-86, -96, -79, -77, -59, 34, 93]

Pass 6:
  Compare -86 and -96
  Swap -86 and -96
  List after swap: [-96, -86, -79, -77, -59, 34, 93]

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

Final sorted list: [-96, -86, -79, -77, -59, 34, 93]
</think>

<response>-96, -86, -79, -77, -59, 34, 93</response>


input: Sort the list -42, -15, -9 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-42, -15, -9]

Pass 1:
  Compare -42 and -15
  No swap needed
  Compare -15 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -15, -9]
</think>

<response>-42, -15, -9</response>


input: Perform a bubble sort on the integers 82, 99, -79, 27, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [82, 99, -79, 27]

Pass 1:
  Compare 82 and 99
  No swap needed
  Compare 99 and -79
  Swap 99 and -79
  List after swap: [82, -79, 99, 27]
  Compare 99 and 27
  Swap 99 and 27
  List after swap: [82, -79, 27, 99]

Pass 2:
  Compare 82 and -79
  Swap 82 and -79
  List after swap: [-79, 82, 27, 99]
  Compare 82 and 27
  Swap 82 and 27
  List after swap: [-79, 27, 82, 99]

Pass 3:
  Compare -79 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, 27, 82, 99]
</think>

<response>-79, 27, 82, 99</response>


input: Execute bubble sort to sort 49, 31, 22, -36, -1, 18, 86, -80, 42, 35 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [49, 31, 22, -36, -1, 18, 86, -80, 42, 35]

Pass 1:
  Compare 49 and 31
  Swap 49 and 31
  List after swap: [31, 49, 22, -36, -1, 18, 86, -80, 42, 35]
  Compare 49 and 22
  Swap 49 and 22
  List after swap: [31, 22, 49, -36, -1, 18, 86, -80, 42, 35]
  Compare 49 and -36
  Swap 49 and -36
  List after swap: [31, 22, -36, 49, -1, 18, 86, -80, 42, 35]
  Compare 49 and -1
  Swap 49 and -1
  List after swap: [31, 22, -36, -1, 49, 18, 86, -80, 42, 35]
  Compare 49 and 18
  Swap 49 and 18
  List after swap: [31, 22, -36, -1, 18, 49, 86, -80, 42, 35]
  Compare 49 and 86
  No swap needed
  Compare 86 and -80
  Swap 86 and -80
  List after swap: [31, 22, -36, -1, 18, 49, -80, 86, 42, 35]
  Compare 86 and 42
  Swap 86 and 42
  List after swap: [31, 22, -36, -1, 18, 49, -80, 42, 86, 35]
  Compare 86 and 35
  Swap 86 and 35
  List after swap: [31, 22, -36, -1, 18, 49, -80, 42, 35, 86]

Pass 2:
  Compare 31 and 22
  Swap 31 and 22
  List after swap: [22, 31, -36, -1, 18, 49, -80, 42, 35, 86]
  Compare 31 and -36
  Swap 31 and -36
  List after swap: [22, -36, 31, -1, 18, 49, -80, 42, 35, 86]
  Compare 31 and -1
  Swap 31 and -1
  List after swap: [22, -36, -1, 31, 18, 49, -80, 42, 35, 86]
  Compare 31 and 18
  Swap 31 and 18
  List after swap: [22, -36, -1, 18, 31, 49, -80, 42, 35, 86]
  Compare 31 and 49
  No swap needed
  Compare 49 and -80
  Swap 49 and -80
  List after swap: [22, -36, -1, 18, 31, -80, 49, 42, 35, 86]
  Compare 49 and 42
  Swap 49 and 42
  List after swap: [22, -36, -1, 18, 31, -80, 42, 49, 35, 86]
  Compare 49 and 35
  Swap 49 and 35
  List after swap: [22, -36, -1, 18, 31, -80, 42, 35, 49, 86]

Pass 3:
  Compare 22 and -36
  Swap 22 and -36
  List after swap: [-36, 22, -1, 18, 31, -80, 42, 35, 49, 86]
  Compare 22 and -1
  Swap 22 and -1
  List after swap: [-36, -1, 22, 18, 31, -80, 42, 35, 49, 86]
  Compare 22 and 18
  Swap 22 and 18
  List after swap: [-36, -1, 18, 22, 31, -80, 42, 35, 49, 86]
  Compare 22 and 31
  No swap needed
  Compare 31 and -80
  Swap 31 and -80
  List after swap: [-36, -1, 18, 22, -80, 31, 42, 35, 49, 86]
  Compare 31 and 42
  No swap needed
  Compare 42 and 35
  Swap 42 and 35
  List after swap: [-36, -1, 18, 22, -80, 31, 35, 42, 49, 86]

Pass 4:
  Compare -36 and -1
  No swap needed
  Compare -1 and 18
  No swap needed
  Compare 18 and 22
  No swap needed
  Compare 22 and -80
  Swap 22 and -80
  List after swap: [-36, -1, 18, -80, 22, 31, 35, 42, 49, 86]
  Compare 22 and 31
  No swap needed
  Compare 31 and 35
  No swap needed

Pass 5:
  Compare -36 and -1
  No swap needed
  Compare -1 and 18
  No swap needed
  Compare 18 and -80
  Swap 18 and -80
  List after swap: [-36, -1, -80, 18, 22, 31, 35, 42, 49, 86]
  Compare 18 and 22
  No swap needed
  Compare 22 and 31
  No swap needed

Pass 6:
  Compare -36 and -1
  No swap needed
  Compare -1 and -80
  Swap -1 and -80
  List after swap: [-36, -80, -1, 18, 22, 31, 35, 42, 49, 86]
  Compare -1 and 18
  No swap needed
  Compare 18 and 22
  No swap needed

Pass 7:
  Compare -36 and -80
  Swap -36 and -80
  List after swap: [-80, -36, -1, 18, 22, 31, 35, 42, 49, 86]
  Compare -36 and -1
  No swap needed
  Compare -1 and 18
  No swap needed

Pass 8:
  Compare -80 and -36
  No swap needed
  Compare -36 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -36, -1, 18, 22, 31, 35, 42, 49, 86]
</think>

<response>-80, -36, -1, 18, 22, 31, 35, 42, 49, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -2, -18, 27, -49, -54, -14, 37, 30.

output:
<think>
Initial list: [-2, -18, 27, -49, -54, -14, 37, 30]

Pass 1:
  Compare -2 and -18
  Swap -2 and -18
  List after swap: [-18, -2, 27, -49, -54, -14, 37, 30]
  Compare -2 and 27
  No swap needed
  Compare 27 and -49
  Swap 27 and -49
  List after swap: [-18, -2, -49, 27, -54, -14, 37, 30]
  Compare 27 and -54
  Swap 27 and -54
  List after swap: [-18, -2, -49, -54, 27, -14, 37, 30]
  Compare 27 and -14
  Swap 27 and -14
  List after swap: [-18, -2, -49, -54, -14, 27, 37, 30]
  Compare 27 and 37
  No swap needed
  Compare 37 and 30
  Swap 37 and 30
  List after swap: [-18, -2, -49, -54, -14, 27, 30, 37]

Pass 2:
  Compare -18 and -2
  No swap needed
  Compare -2 and -49
  Swap -2 and -49
  List after swap: [-18, -49, -2, -54, -14, 27, 30, 37]
  Compare -2 and -54
  Swap -2 and -54
  List after swap: [-18, -49, -54, -2, -14, 27, 30, 37]
  Compare -2 and -14
  Swap -2 and -14
  List after swap: [-18, -49, -54, -14, -2, 27, 30, 37]
  Compare -2 and 27
  No swap needed
  Compare 27 and 30
  No swap needed

Pass 3:
  Compare -18 and -49
  Swap -18 and -49
  List after swap: [-49, -18, -54, -14, -2, 27, 30, 37]
  Compare -18 and -54
  Swap -18 and -54
  List after swap: [-49, -54, -18, -14, -2, 27, 30, 37]
  Compare -18 and -14
  No swap needed
  Compare -14 and -2
  No swap needed
  Compare -2 and 27
  No swap needed

Pass 4:
  Compare -49 and -54
  Swap -49 and -54
  List after swap: [-54, -49, -18, -14, -2, 27, 30, 37]
  Compare -49 and -18
  No swap needed
  Compare -18 and -14
  No swap needed
  Compare -14 and -2
  No swap needed

Pass 5:
  Compare -54 and -49
  No swap needed
  Compare -49 and -18
  No swap needed
  Compare -18 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -49, -18, -14, -2, 27, 30, 37]
</think>

<response>-54, -49, -18, -14, -2, 27, 30, 37</response>


input: Carry out the bubble sort algorithm on 18, -21, -3, -78, -30, 3, -99 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [18, -21, -3, -78, -30, 3, -99]

Pass 1:
  Compare 18 and -21
  Swap 18 and -21
  List after swap: [-21, 18, -3, -78, -30, 3, -99]
  Compare 18 and -3
  Swap 18 and -3
  List after swap: [-21, -3, 18, -78, -30, 3, -99]
  Compare 18 and -78
  Swap 18 and -78
  List after swap: [-21, -3, -78, 18, -30, 3, -99]
  Compare 18 and -30
  Swap 18 and -30
  List after swap: [-21, -3, -78, -30, 18, 3, -99]
  Compare 18 and 3
  Swap 18 and 3
  List after swap: [-21, -3, -78, -30, 3, 18, -99]
  Compare 18 and -99
  Swap 18 and -99
  List after swap: [-21, -3, -78, -30, 3, -99, 18]

Pass 2:
  Compare -21 and -3
  No swap needed
  Compare -3 and -78
  Swap -3 and -78
  List after swap: [-21, -78, -3, -30, 3, -99, 18]
  Compare -3 and -30
  Swap -3 and -30
  List after swap: [-21, -78, -30, -3, 3, -99, 18]
  Compare -3 and 3
  No swap needed
  Compare 3 and -99
  Swap 3 and -99
  List after swap: [-21, -78, -30, -3, -99, 3, 18]

Pass 3:
  Compare -21 and -78
  Swap -21 and -78
  List after swap: [-78, -21, -30, -3, -99, 3, 18]
  Compare -21 and -30
  Swap -21 and -30
  List after swap: [-78, -30, -21, -3, -99, 3, 18]
  Compare -21 and -3
  No swap needed
  Compare -3 and -99
  Swap -3 and -99
  List after swap: [-78, -30, -21, -99, -3, 3, 18]

Pass 4:
  Compare -78 and -30
  No swap needed
  Compare -30 and -21
  No swap needed
  Compare -21 and -99
  Swap -21 and -99
  List after swap: [-78, -30, -99, -21, -3, 3, 18]

Pass 5:
  Compare -78 and -30
  No swap needed
  Compare -30 and -99
  Swap -30 and -99
  List after swap: [-78, -99, -30, -21, -3, 3, 18]

Pass 6:
  Compare -78 and -99
  Swap -78 and -99
  List after swap: [-99, -78, -30, -21, -3, 3, 18]

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

Final sorted list: [-99, -78, -30, -21, -3, 3, 18]
</think>

<response>-99, -78, -30, -21, -3, 3, 18</response>


input: Arrange the numbers -100, 35, -50, 80 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-100, 35, -50, 80]

Pass 1:
  Compare -100 and 35
  No swap needed
  Compare 35 and -50
  Swap 35 and -50
  List after swap: [-100, -50, 35, 80]
  Compare 35 and 80
  No swap needed

Pass 2:
  Compare -100 and -50
  No swap needed
  Compare -50 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -50, 35, 80]
</think>

<response>-100, -50, 35, 80</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -27, 85, 18, -70, -8, 56, 61.

output:
<think>
Initial list: [-27, 85, 18, -70, -8, 56, 61]

Pass 1:
  Compare -27 and 85
  No swap needed
  Compare 85 and 18
  Swap 85 and 18
  List after swap: [-27, 18, 85, -70, -8, 56, 61]
  Compare 85 and -70
  Swap 85 and -70
  List after swap: [-27, 18, -70, 85, -8, 56, 61]
  Compare 85 and -8
  Swap 85 and -8
  List after swap: [-27, 18, -70, -8, 85, 56, 61]
  Compare 85 and 56
  Swap 85 and 56
  List after swap: [-27, 18, -70, -8, 56, 85, 61]
  Compare 85 and 61
  Swap 85 and 61
  List after swap: [-27, 18, -70, -8, 56, 61, 85]

Pass 2:
  Compare -27 and 18
  No swap needed
  Compare 18 and -70
  Swap 18 and -70
  List after swap: [-27, -70, 18, -8, 56, 61, 85]
  Compare 18 and -8
  Swap 18 and -8
  List after swap: [-27, -70, -8, 18, 56, 61, 85]
  Compare 18 and 56
  No swap needed
  Compare 56 and 61
  No swap needed

Pass 3:
  Compare -27 and -70
  Swap -27 and -70
  List after swap: [-70, -27, -8, 18, 56, 61, 85]
  Compare -27 and -8
  No swap needed
  Compare -8 and 18
  No swap needed
  Compare 18 and 56
  No swap needed

Pass 4:
  Compare -70 and -27
  No swap needed
  Compare -27 and -8
  No swap needed
  Compare -8 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -27, -8, 18, 56, 61, 85]
</think>

<response>-70, -27, -8, 18, 56, 61, 85</response>


input: Sort these integers -81, -95, -54 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-81, -95, -54]

Pass 1:
  Compare -81 and -95
  Swap -81 and -95
  List after swap: [-95, -81, -54]
  Compare -81 and -54
  No swap needed

Pass 2:
  Compare -95 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -81, -54]
</think>

<response>-95, -81, -54</response>


input: Demonstrate how bubble sort orders the integers 51, 62, 32, 54, 17 in ascending sequence, showing all steps.

output:
<think>
Initial list: [51, 62, 32, 54, 17]

Pass 1:
  Compare 51 and 62
  No swap needed
  Compare 62 and 32
  Swap 62 and 32
  List after swap: [51, 32, 62, 54, 17]
  Compare 62 and 54
  Swap 62 and 54
  List after swap: [51, 32, 54, 62, 17]
  Compare 62 and 17
  Swap 62 and 17
  List after swap: [51, 32, 54, 17, 62]

Pass 2:
  Compare 51 and 32
  Swap 51 and 32
  List after swap: [32, 51, 54, 17, 62]
  Compare 51 and 54
  No swap needed
  Compare 54 and 17
  Swap 54 and 17
  List after swap: [32, 51, 17, 54, 62]

Pass 3:
  Compare 32 and 51
  No swap needed
  Compare 51 and 17
  Swap 51 and 17
  List after swap: [32, 17, 51, 54, 62]

Pass 4:
  Compare 32 and 17
  Swap 32 and 17
  List after swap: [17, 32, 51, 54, 62]

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

Final sorted list: [17, 32, 51, 54, 62]
</think>

<response>17, 32, 51, 54, 62</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 43, 25, -1, -86, 77.

output:
<think>
Initial list: [43, 25, -1, -86, 77]

Pass 1:
  Compare 43 and 25
  Swap 43 and 25
  List after swap: [25, 43, -1, -86, 77]
  Compare 43 and -1
  Swap 43 and -1
  List after swap: [25, -1, 43, -86, 77]
  Compare 43 and -86
  Swap 43 and -86
  List after swap: [25, -1, -86, 43, 77]
  Compare 43 and 77
  No swap needed

Pass 2:
  Compare 25 and -1
  Swap 25 and -1
  List after swap: [-1, 25, -86, 43, 77]
  Compare 25 and -86
  Swap 25 and -86
  List after swap: [-1, -86, 25, 43, 77]
  Compare 25 and 43
  No swap needed

Pass 3:
  Compare -1 and -86
  Swap -1 and -86
  List after swap: [-86, -1, 25, 43, 77]
  Compare -1 and 25
  No swap needed

Pass 4:
  Compare -86 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -1, 25, 43, 77]
</think>

<response>-86, -1, 25, 43, 77</response>


input: Carry out the bubble sort algorithm on -84, 80, -51, -76, -3, -46 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-84, 80, -51, -76, -3, -46]

Pass 1:
  Compare -84 and 80
  No swap needed
  Compare 80 and -51
  Swap 80 and -51
  List after swap: [-84, -51, 80, -76, -3, -46]
  Compare 80 and -76
  Swap 80 and -76
  List after swap: [-84, -51, -76, 80, -3, -46]
  Compare 80 and -3
  Swap 80 and -3
  List after swap: [-84, -51, -76, -3, 80, -46]
  Compare 80 and -46
  Swap 80 and -46
  List after swap: [-84, -51, -76, -3, -46, 80]

Pass 2:
  Compare -84 and -51
  No swap needed
  Compare -51 and -76
  Swap -51 and -76
  List after swap: [-84, -76, -51, -3, -46, 80]
  Compare -51 and -3
  No swap needed
  Compare -3 and -46
  Swap -3 and -46
  List after swap: [-84, -76, -51, -46, -3, 80]

Pass 3:
  Compare -84 and -76
  No swap needed
  Compare -76 and -51
  No swap needed
  Compare -51 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -76, -51, -46, -3, 80]
</think>

<response>-84, -76, -51, -46, -3, 80</response>


input: Sort the list -13, -87 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-13, -87]

Pass 1:
  Compare -13 and -87
  Swap -13 and -87
  List after swap: [-87, -13]

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

Final sorted list: [-87, -13]
</think>

<response>-87, -13</response>


input: Perform a bubble sort on the integers -98, -58, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-98, -58]

Pass 1:
  Compare -98 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -58]
</think>

<response>-98, -58</response>


input: Sort the list -22, -82, 92, -40, -78, 35, 78 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-22, -82, 92, -40, -78, 35, 78]

Pass 1:
  Compare -22 and -82
  Swap -22 and -82
  List after swap: [-82, -22, 92, -40, -78, 35, 78]
  Compare -22 and 92
  No swap needed
  Compare 92 and -40
  Swap 92 and -40
  List after swap: [-82, -22, -40, 92, -78, 35, 78]
  Compare 92 and -78
  Swap 92 and -78
  List after swap: [-82, -22, -40, -78, 92, 35, 78]
  Compare 92 and 35
  Swap 92 and 35
  List after swap: [-82, -22, -40, -78, 35, 92, 78]
  Compare 92 and 78
  Swap 92 and 78
  List after swap: [-82, -22, -40, -78, 35, 78, 92]

Pass 2:
  Compare -82 and -22
  No swap needed
  Compare -22 and -40
  Swap -22 and -40
  List after swap: [-82, -40, -22, -78, 35, 78, 92]
  Compare -22 and -78
  Swap -22 and -78
  List after swap: [-82, -40, -78, -22, 35, 78, 92]
  Compare -22 and 35
  No swap needed
  Compare 35 and 78
  No swap needed

Pass 3:
  Compare -82 and -40
  No swap needed
  Compare -40 and -78
  Swap -40 and -78
  List after swap: [-82, -78, -40, -22, 35, 78, 92]
  Compare -40 and -22
  No swap needed
  Compare -22 and 35
  No swap needed

Pass 4:
  Compare -82 and -78
  No swap needed
  Compare -78 and -40
  No swap needed
  Compare -40 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -78, -40, -22, 35, 78, 92]
</think>

<response>-82, -78, -40, -22, 35, 78, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 97, 71, 5, -79, -22, 35.

output:
<think>
Initial list: [97, 71, 5, -79, -22, 35]

Pass 1:
  Compare 97 and 71
  Swap 97 and 71
  List after swap: [71, 97, 5, -79, -22, 35]
  Compare 97 and 5
  Swap 97 and 5
  List after swap: [71, 5, 97, -79, -22, 35]
  Compare 97 and -79
  Swap 97 and -79
  List after swap: [71, 5, -79, 97, -22, 35]
  Compare 97 and -22
  Swap 97 and -22
  List after swap: [71, 5, -79, -22, 97, 35]
  Compare 97 and 35
  Swap 97 and 35
  List after swap: [71, 5, -79, -22, 35, 97]

Pass 2:
  Compare 71 and 5
  Swap 71 and 5
  List after swap: [5, 71, -79, -22, 35, 97]
  Compare 71 and -79
  Swap 71 and -79
  List after swap: [5, -79, 71, -22, 35, 97]
  Compare 71 and -22
  Swap 71 and -22
  List after swap: [5, -79, -22, 71, 35, 97]
  Compare 71 and 35
  Swap 71 and 35
  List after swap: [5, -79, -22, 35, 71, 97]

Pass 3:
  Compare 5 and -79
  Swap 5 and -79
  List after swap: [-79, 5, -22, 35, 71, 97]
  Compare 5 and -22
  Swap 5 and -22
  List after swap: [-79, -22, 5, 35, 71, 97]
  Compare 5 and 35
  No swap needed

Pass 4:
  Compare -79 and -22
  No swap needed
  Compare -22 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -22, 5, 35, 71, 97]
</think>

<response>-79, -22, 5, 35, 71, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -5, 89, 77, 24.

output:
<think>
Initial list: [-5, 89, 77, 24]

Pass 1:
  Compare -5 and 89
  No swap needed
  Compare 89 and 77
  Swap 89 and 77
  List after swap: [-5, 77, 89, 24]
  Compare 89 and 24
  Swap 89 and 24
  List after swap: [-5, 77, 24, 89]

Pass 2:
  Compare -5 and 77
  No swap needed
  Compare 77 and 24
  Swap 77 and 24
  List after swap: [-5, 24, 77, 89]

Pass 3:
  Compare -5 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-5, 24, 77, 89]
</think>

<response>-5, 24, 77, 89</response>


input: Perform a bubble sort on the integers 76, 86, -70, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [76, 86, -70]

Pass 1:
  Compare 76 and 86
  No swap needed
  Compare 86 and -70
  Swap 86 and -70
  List after swap: [76, -70, 86]

Pass 2:
  Compare 76 and -70
  Swap 76 and -70
  List after swap: [-70, 76, 86]

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

Final sorted list: [-70, 76, 86]
</think>

<response>-70, 76, 86</response>


input: Demonstrate how bubble sort orders the integers -57, 98, 44, -86, -25, 76, -10 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-57, 98, 44, -86, -25, 76, -10]

Pass 1:
  Compare -57 and 98
  No swap needed
  Compare 98 and 44
  Swap 98 and 44
  List after swap: [-57, 44, 98, -86, -25, 76, -10]
  Compare 98 and -86
  Swap 98 and -86
  List after swap: [-57, 44, -86, 98, -25, 76, -10]
  Compare 98 and -25
  Swap 98 and -25
  List after swap: [-57, 44, -86, -25, 98, 76, -10]
  Compare 98 and 76
  Swap 98 and 76
  List after swap: [-57, 44, -86, -25, 76, 98, -10]
  Compare 98 and -10
  Swap 98 and -10
  List after swap: [-57, 44, -86, -25, 76, -10, 98]

Pass 2:
  Compare -57 and 44
  No swap needed
  Compare 44 and -86
  Swap 44 and -86
  List after swap: [-57, -86, 44, -25, 76, -10, 98]
  Compare 44 and -25
  Swap 44 and -25
  List after swap: [-57, -86, -25, 44, 76, -10, 98]
  Compare 44 and 76
  No swap needed
  Compare 76 and -10
  Swap 76 and -10
  List after swap: [-57, -86, -25, 44, -10, 76, 98]

Pass 3:
  Compare -57 and -86
  Swap -57 and -86
  List after swap: [-86, -57, -25, 44, -10, 76, 98]
  Compare -57 and -25
  No swap needed
  Compare -25 and 44
  No swap needed
  Compare 44 and -10
  Swap 44 and -10
  List after swap: [-86, -57, -25, -10, 44, 76, 98]

Pass 4:
  Compare -86 and -57
  No swap needed
  Compare -57 and -25
  No swap needed
  Compare -25 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -57, -25, -10, 44, 76, 98]
</think>

<response>-86, -57, -25, -10, 44, 76, 98</response>


input: Using the bubble sort method, sort 98, 93 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [98, 93]

Pass 1:
  Compare 98 and 93
  Swap 98 and 93
  List after swap: [93, 98]

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

Final sorted list: [93, 98]
</think>

<response>93, 98</response>


input: Using the bubble sort method, sort 72, -57, -26, 60, -65, -87, -84, -12, 29, 45 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [72, -57, -26, 60, -65, -87, -84, -12, 29, 45]

Pass 1:
  Compare 72 and -57
  Swap 72 and -57
  List after swap: [-57, 72, -26, 60, -65, -87, -84, -12, 29, 45]
  Compare 72 and -26
  Swap 72 and -26
  List after swap: [-57, -26, 72, 60, -65, -87, -84, -12, 29, 45]
  Compare 72 and 60
  Swap 72 and 60
  List after swap: [-57, -26, 60, 72, -65, -87, -84, -12, 29, 45]
  Compare 72 and -65
  Swap 72 and -65
  List after swap: [-57, -26, 60, -65, 72, -87, -84, -12, 29, 45]
  Compare 72 and -87
  Swap 72 and -87
  List after swap: [-57, -26, 60, -65, -87, 72, -84, -12, 29, 45]
  Compare 72 and -84
  Swap 72 and -84
  List after swap: [-57, -26, 60, -65, -87, -84, 72, -12, 29, 45]
  Compare 72 and -12
  Swap 72 and -12
  List after swap: [-57, -26, 60, -65, -87, -84, -12, 72, 29, 45]
  Compare 72 and 29
  Swap 72 and 29
  List after swap: [-57, -26, 60, -65, -87, -84, -12, 29, 72, 45]
  Compare 72 and 45
  Swap 72 and 45
  List after swap: [-57, -26, 60, -65, -87, -84, -12, 29, 45, 72]

Pass 2:
  Compare -57 and -26
  No swap needed
  Compare -26 and 60
  No swap needed
  Compare 60 and -65
  Swap 60 and -65
  List after swap: [-57, -26, -65, 60, -87, -84, -12, 29, 45, 72]
  Compare 60 and -87
  Swap 60 and -87
  List after swap: [-57, -26, -65, -87, 60, -84, -12, 29, 45, 72]
  Compare 60 and -84
  Swap 60 and -84
  List after swap: [-57, -26, -65, -87, -84, 60, -12, 29, 45, 72]
  Compare 60 and -12
  Swap 60 and -12
  List after swap: [-57, -26, -65, -87, -84, -12, 60, 29, 45, 72]
  Compare 60 and 29
  Swap 60 and 29
  List after swap: [-57, -26, -65, -87, -84, -12, 29, 60, 45, 72]
  Compare 60 and 45
  Swap 60 and 45
  List after swap: [-57, -26, -65, -87, -84, -12, 29, 45, 60, 72]

Pass 3:
  Compare -57 and -26
  No swap needed
  Compare -26 and -65
  Swap -26 and -65
  List after swap: [-57, -65, -26, -87, -84, -12, 29, 45, 60, 72]
  Compare -26 and -87
  Swap -26 and -87
  List after swap: [-57, -65, -87, -26, -84, -12, 29, 45, 60, 72]
  Compare -26 and -84
  Swap -26 and -84
  List after swap: [-57, -65, -87, -84, -26, -12, 29, 45, 60, 72]
  Compare -26 and -12
  No swap needed
  Compare -12 and 29
  No swap needed
  Compare 29 and 45
  No swap needed

Pass 4:
  Compare -57 and -65
  Swap -57 and -65
  List after swap: [-65, -57, -87, -84, -26, -12, 29, 45, 60, 72]
  Compare -57 and -87
  Swap -57 and -87
  List after swap: [-65, -87, -57, -84, -26, -12, 29, 45, 60, 72]
  Compare -57 and -84
  Swap -57 and -84
  List after swap: [-65, -87, -84, -57, -26, -12, 29, 45, 60, 72]
  Compare -57 and -26
  No swap needed
  Compare -26 and -12
  No swap needed
  Compare -12 and 29
  No swap needed

Pass 5:
  Compare -65 and -87
  Swap -65 and -87
  List after swap: [-87, -65, -84, -57, -26, -12, 29, 45, 60, 72]
  Compare -65 and -84
  Swap -65 and -84
  List after swap: [-87, -84, -65, -57, -26, -12, 29, 45, 60, 72]
  Compare -65 and -57
  No swap needed
  Compare -57 and -26
  No swap needed
  Compare -26 and -12
  No swap needed

Pass 6:
  Compare -87 and -84
  No swap needed
  Compare -84 and -65
  No swap needed
  Compare -65 and -57
  No swap needed
  Compare -57 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -84, -65, -57, -26, -12, 29, 45, 60, 72]
</think>

<response>-87, -84, -65, -57, -26, -12, 29, 45, 60, 72</response>


input: Arrange the numbers 75, -77, -67, 6, -86 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [75, -77, -67, 6, -86]

Pass 1:
  Compare 75 and -77
  Swap 75 and -77
  List after swap: [-77, 75, -67, 6, -86]
  Compare 75 and -67
  Swap 75 and -67
  List after swap: [-77, -67, 75, 6, -86]
  Compare 75 and 6
  Swap 75 and 6
  List after swap: [-77, -67, 6, 75, -86]
  Compare 75 and -86
  Swap 75 and -86
  List after swap: [-77, -67, 6, -86, 75]

Pass 2:
  Compare -77 and -67
  No swap needed
  Compare -67 and 6
  No swap needed
  Compare 6 and -86
  Swap 6 and -86
  List after swap: [-77, -67, -86, 6, 75]

Pass 3:
  Compare -77 and -67
  No swap needed
  Compare -67 and -86
  Swap -67 and -86
  List after swap: [-77, -86, -67, 6, 75]

Pass 4:
  Compare -77 and -86
  Swap -77 and -86
  List after swap: [-86, -77, -67, 6, 75]

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

Final sorted list: [-86, -77, -67, 6, 75]
</think>

<response>-86, -77, -67, 6, 75</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -37, 43, 12, -25, 92, 24, -9, 70, 90.

output:
<think>
Initial list: [-37, 43, 12, -25, 92, 24, -9, 70, 90]

Pass 1:
  Compare -37 and 43
  No swap needed
  Compare 43 and 12
  Swap 43 and 12
  List after swap: [-37, 12, 43, -25, 92, 24, -9, 70, 90]
  Compare 43 and -25
  Swap 43 and -25
  List after swap: [-37, 12, -25, 43, 92, 24, -9, 70, 90]
  Compare 43 and 92
  No swap needed
  Compare 92 and 24
  Swap 92 and 24
  List after swap: [-37, 12, -25, 43, 24, 92, -9, 70, 90]
  Compare 92 and -9
  Swap 92 and -9
  List after swap: [-37, 12, -25, 43, 24, -9, 92, 70, 90]
  Compare 92 and 70
  Swap 92 and 70
  List after swap: [-37, 12, -25, 43, 24, -9, 70, 92, 90]
  Compare 92 and 90
  Swap 92 and 90
  List after swap: [-37, 12, -25, 43, 24, -9, 70, 90, 92]

Pass 2:
  Compare -37 and 12
  No swap needed
  Compare 12 and -25
  Swap 12 and -25
  List after swap: [-37, -25, 12, 43, 24, -9, 70, 90, 92]
  Compare 12 and 43
  No swap needed
  Compare 43 and 24
  Swap 43 and 24
  List after swap: [-37, -25, 12, 24, 43, -9, 70, 90, 92]
  Compare 43 and -9
  Swap 43 and -9
  List after swap: [-37, -25, 12, 24, -9, 43, 70, 90, 92]
  Compare 43 and 70
  No swap needed
  Compare 70 and 90
  No swap needed

Pass 3:
  Compare -37 and -25
  No swap needed
  Compare -25 and 12
  No swap needed
  Compare 12 and 24
  No swap needed
  Compare 24 and -9
  Swap 24 and -9
  List after swap: [-37, -25, 12, -9, 24, 43, 70, 90, 92]
  Compare 24 and 43
  No swap needed
  Compare 43 and 70
  No swap needed

Pass 4:
  Compare -37 and -25
  No swap needed
  Compare -25 and 12
  No swap needed
  Compare 12 and -9
  Swap 12 and -9
  List after swap: [-37, -25, -9, 12, 24, 43, 70, 90, 92]
  Compare 12 and 24
  No swap needed
  Compare 24 and 43
  No swap needed

Pass 5:
  Compare -37 and -25
  No swap needed
  Compare -25 and -9
  No swap needed
  Compare -9 and 12
  No swap needed
  Compare 12 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -25, -9, 12, 24, 43, 70, 90, 92]
</think>

<response>-37, -25, -9, 12, 24, 43, 70, 90, 92</response>


input: Implement bubble sort on 59, -84, -78, 47, 73, 49, 21, -83, 8 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [59, -84, -78, 47, 73, 49, 21, -83, 8]

Pass 1:
  Compare 59 and -84
  Swap 59 and -84
  List after swap: [-84, 59, -78, 47, 73, 49, 21, -83, 8]
  Compare 59 and -78
  Swap 59 and -78
  List after swap: [-84, -78, 59, 47, 73, 49, 21, -83, 8]
  Compare 59 and 47
  Swap 59 and 47
  List after swap: [-84, -78, 47, 59, 73, 49, 21, -83, 8]
  Compare 59 and 73
  No swap needed
  Compare 73 and 49
  Swap 73 and 49
  List after swap: [-84, -78, 47, 59, 49, 73, 21, -83, 8]
  Compare 73 and 21
  Swap 73 and 21
  List after swap: [-84, -78, 47, 59, 49, 21, 73, -83, 8]
  Compare 73 and -83
  Swap 73 and -83
  List after swap: [-84, -78, 47, 59, 49, 21, -83, 73, 8]
  Compare 73 and 8
  Swap 73 and 8
  List after swap: [-84, -78, 47, 59, 49, 21, -83, 8, 73]

Pass 2:
  Compare -84 and -78
  No swap needed
  Compare -78 and 47
  No swap needed
  Compare 47 and 59
  No swap needed
  Compare 59 and 49
  Swap 59 and 49
  List after swap: [-84, -78, 47, 49, 59, 21, -83, 8, 73]
  Compare 59 and 21
  Swap 59 and 21
  List after swap: [-84, -78, 47, 49, 21, 59, -83, 8, 73]
  Compare 59 and -83
  Swap 59 and -83
  List after swap: [-84, -78, 47, 49, 21, -83, 59, 8, 73]
  Compare 59 and 8
  Swap 59 and 8
  List after swap: [-84, -78, 47, 49, 21, -83, 8, 59, 73]

Pass 3:
  Compare -84 and -78
  No swap needed
  Compare -78 and 47
  No swap needed
  Compare 47 and 49
  No swap needed
  Compare 49 and 21
  Swap 49 and 21
  List after swap: [-84, -78, 47, 21, 49, -83, 8, 59, 73]
  Compare 49 and -83
  Swap 49 and -83
  List after swap: [-84, -78, 47, 21, -83, 49, 8, 59, 73]
  Compare 49 and 8
  Swap 49 and 8
  List after swap: [-84, -78, 47, 21, -83, 8, 49, 59, 73]

Pass 4:
  Compare -84 and -78
  No swap needed
  Compare -78 and 47
  No swap needed
  Compare 47 and 21
  Swap 47 and 21
  List after swap: [-84, -78, 21, 47, -83, 8, 49, 59, 73]
  Compare 47 and -83
  Swap 47 and -83
  List after swap: [-84, -78, 21, -83, 47, 8, 49, 59, 73]
  Compare 47 and 8
  Swap 47 and 8
  List after swap: [-84, -78, 21, -83, 8, 47, 49, 59, 73]

Pass 5:
  Compare -84 and -78
  No swap needed
  Compare -78 and 21
  No swap needed
  Compare 21 and -83
  Swap 21 and -83
  List after swap: [-84, -78, -83, 21, 8, 47, 49, 59, 73]
  Compare 21 and 8
  Swap 21 and 8
  List after swap: [-84, -78, -83, 8, 21, 47, 49, 59, 73]

Pass 6:
  Compare -84 and -78
  No swap needed
  Compare -78 and -83
  Swap -78 and -83
  List after swap: [-84, -83, -78, 8, 21, 47, 49, 59, 73]
  Compare -78 and 8
  No swap needed

Pass 7:
  Compare -84 and -83
  No swap needed
  Compare -83 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -83, -78, 8, 21, 47, 49, 59, 73]
</think>

<response>-84, -83, -78, 8, 21, 47, 49, 59, 73</response>


input: Execute bubble sort to sort -27, -88, 27, -14 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-27, -88, 27, -14]

Pass 1:
  Compare -27 and -88
  Swap -27 and -88
  List after swap: [-88, -27, 27, -14]
  Compare -27 and 27
  No swap needed
  Compare 27 and -14
  Swap 27 and -14
  List after swap: [-88, -27, -14, 27]

Pass 2:
  Compare -88 and -27
  No swap needed
  Compare -27 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -27, -14, 27]
</think>

<response>-88, -27, -14, 27</response>


input: Arrange the numbers -68, -79, 45, -40, -6, -60, 20 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-68, -79, 45, -40, -6, -60, 20]

Pass 1:
  Compare -68 and -79
  Swap -68 and -79
  List after swap: [-79, -68, 45, -40, -6, -60, 20]
  Compare -68 and 45
  No swap needed
  Compare 45 and -40
  Swap 45 and -40
  List after swap: [-79, -68, -40, 45, -6, -60, 20]
  Compare 45 and -6
  Swap 45 and -6
  List after swap: [-79, -68, -40, -6, 45, -60, 20]
  Compare 45 and -60
  Swap 45 and -60
  List after swap: [-79, -68, -40, -6, -60, 45, 20]
  Compare 45 and 20
  Swap 45 and 20
  List after swap: [-79, -68, -40, -6, -60, 20, 45]

Pass 2:
  Compare -79 and -68
  No swap needed
  Compare -68 and -40
  No swap needed
  Compare -40 and -6
  No swap needed
  Compare -6 and -60
  Swap -6 and -60
  List after swap: [-79, -68, -40, -60, -6, 20, 45]
  Compare -6 and 20
  No swap needed

Pass 3:
  Compare -79 and -68
  No swap needed
  Compare -68 and -40
  No swap needed
  Compare -40 and -60
  Swap -40 and -60
  List after swap: [-79, -68, -60, -40, -6, 20, 45]
  Compare -40 and -6
  No swap needed

Pass 4:
  Compare -79 and -68
  No swap needed
  Compare -68 and -60
  No swap needed
  Compare -60 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -68, -60, -40, -6, 20, 45]
</think>

<response>-79, -68, -60, -40, -6, 20, 45</response>


input: Sort the list -71, -79, 14, -32, 24, 18, -76, -87 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-71, -79, 14, -32, 24, 18, -76, -87]

Pass 1:
  Compare -71 and -79
  Swap -71 and -79
  List after swap: [-79, -71, 14, -32, 24, 18, -76, -87]
  Compare -71 and 14
  No swap needed
  Compare 14 and -32
  Swap 14 and -32
  List after swap: [-79, -71, -32, 14, 24, 18, -76, -87]
  Compare 14 and 24
  No swap needed
  Compare 24 and 18
  Swap 24 and 18
  List after swap: [-79, -71, -32, 14, 18, 24, -76, -87]
  Compare 24 and -76
  Swap 24 and -76
  List after swap: [-79, -71, -32, 14, 18, -76, 24, -87]
  Compare 24 and -87
  Swap 24 and -87
  List after swap: [-79, -71, -32, 14, 18, -76, -87, 24]

Pass 2:
  Compare -79 and -71
  No swap needed
  Compare -71 and -32
  No swap needed
  Compare -32 and 14
  No swap needed
  Compare 14 and 18
  No swap needed
  Compare 18 and -76
  Swap 18 and -76
  List after swap: [-79, -71, -32, 14, -76, 18, -87, 24]
  Compare 18 and -87
  Swap 18 and -87
  List after swap: [-79, -71, -32, 14, -76, -87, 18, 24]

Pass 3:
  Compare -79 and -71
  No swap needed
  Compare -71 and -32
  No swap needed
  Compare -32 and 14
  No swap needed
  Compare 14 and -76
  Swap 14 and -76
  List after swap: [-79, -71, -32, -76, 14, -87, 18, 24]
  Compare 14 and -87
  Swap 14 and -87
  List after swap: [-79, -71, -32, -76, -87, 14, 18, 24]

Pass 4:
  Compare -79 and -71
  No swap needed
  Compare -71 and -32
  No swap needed
  Compare -32 and -76
  Swap -32 and -76
  List after swap: [-79, -71, -76, -32, -87, 14, 18, 24]
  Compare -32 and -87
  Swap -32 and -87
  List after swap: [-79, -71, -76, -87, -32, 14, 18, 24]

Pass 5:
  Compare -79 and -71
  No swap needed
  Compare -71 and -76
  Swap -71 and -76
  List after swap: [-79, -76, -71, -87, -32, 14, 18, 24]
  Compare -71 and -87
  Swap -71 and -87
  List after swap: [-79, -76, -87, -71, -32, 14, 18, 24]

Pass 6:
  Compare -79 and -76
  No swap needed
  Compare -76 and -87
  Swap -76 and -87
  List after swap: [-79, -87, -76, -71, -32, 14, 18, 24]

Pass 7:
  Compare -79 and -87
  Swap -79 and -87
  List after swap: [-87, -79, -76, -71, -32, 14, 18, 24]

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

Final sorted list: [-87, -79, -76, -71, -32, 14, 18, 24]
</think>

<response>-87, -79, -76, -71, -32, 14, 18, 24</response>