input: Carry out the bubble sort algorithm on -63, -44, 70, -34 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-63, -44, 70, -34]

Pass 1:
  Compare -63 and -44
  No swap needed
  Compare -44 and 70
  No swap needed
  Compare 70 and -34
  Swap 70 and -34
  List after swap: [-63, -44, -34, 70]

Pass 2:
  Compare -63 and -44
  No swap needed
  Compare -44 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -44, -34, 70]
</think>

<response>-63, -44, -34, 70</response>


input: Perform a bubble sort on the integers 19, -60, -13, -46, 88, -24, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [19, -60, -13, -46, 88, -24]

Pass 1:
  Compare 19 and -60
  Swap 19 and -60
  List after swap: [-60, 19, -13, -46, 88, -24]
  Compare 19 and -13
  Swap 19 and -13
  List after swap: [-60, -13, 19, -46, 88, -24]
  Compare 19 and -46
  Swap 19 and -46
  List after swap: [-60, -13, -46, 19, 88, -24]
  Compare 19 and 88
  No swap needed
  Compare 88 and -24
  Swap 88 and -24
  List after swap: [-60, -13, -46, 19, -24, 88]

Pass 2:
  Compare -60 and -13
  No swap needed
  Compare -13 and -46
  Swap -13 and -46
  List after swap: [-60, -46, -13, 19, -24, 88]
  Compare -13 and 19
  No swap needed
  Compare 19 and -24
  Swap 19 and -24
  List after swap: [-60, -46, -13, -24, 19, 88]

Pass 3:
  Compare -60 and -46
  No swap needed
  Compare -46 and -13
  No swap needed
  Compare -13 and -24
  Swap -13 and -24
  List after swap: [-60, -46, -24, -13, 19, 88]

Pass 4:
  Compare -60 and -46
  No swap needed
  Compare -46 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -46, -24, -13, 19, 88]
</think>

<response>-60, -46, -24, -13, 19, 88</response>


input: Execute bubble sort to sort -50, 95, -26 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-50, 95, -26]

Pass 1:
  Compare -50 and 95
  No swap needed
  Compare 95 and -26
  Swap 95 and -26
  List after swap: [-50, -26, 95]

Pass 2:
  Compare -50 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -26, 95]
</think>

<response>-50, -26, 95</response>


input: Demonstrate how bubble sort orders the integers -18, -94, 0, -26, 64, -45, 30, 7 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-18, -94, 0, -26, 64, -45, 30, 7]

Pass 1:
  Compare -18 and -94
  Swap -18 and -94
  List after swap: [-94, -18, 0, -26, 64, -45, 30, 7]
  Compare -18 and 0
  No swap needed
  Compare 0 and -26
  Swap 0 and -26
  List after swap: [-94, -18, -26, 0, 64, -45, 30, 7]
  Compare 0 and 64
  No swap needed
  Compare 64 and -45
  Swap 64 and -45
  List after swap: [-94, -18, -26, 0, -45, 64, 30, 7]
  Compare 64 and 30
  Swap 64 and 30
  List after swap: [-94, -18, -26, 0, -45, 30, 64, 7]
  Compare 64 and 7
  Swap 64 and 7
  List after swap: [-94, -18, -26, 0, -45, 30, 7, 64]

Pass 2:
  Compare -94 and -18
  No swap needed
  Compare -18 and -26
  Swap -18 and -26
  List after swap: [-94, -26, -18, 0, -45, 30, 7, 64]
  Compare -18 and 0
  No swap needed
  Compare 0 and -45
  Swap 0 and -45
  List after swap: [-94, -26, -18, -45, 0, 30, 7, 64]
  Compare 0 and 30
  No swap needed
  Compare 30 and 7
  Swap 30 and 7
  List after swap: [-94, -26, -18, -45, 0, 7, 30, 64]

Pass 3:
  Compare -94 and -26
  No swap needed
  Compare -26 and -18
  No swap needed
  Compare -18 and -45
  Swap -18 and -45
  List after swap: [-94, -26, -45, -18, 0, 7, 30, 64]
  Compare -18 and 0
  No swap needed
  Compare 0 and 7
  No swap needed

Pass 4:
  Compare -94 and -26
  No swap needed
  Compare -26 and -45
  Swap -26 and -45
  List after swap: [-94, -45, -26, -18, 0, 7, 30, 64]
  Compare -26 and -18
  No swap needed
  Compare -18 and 0
  No swap needed

Pass 5:
  Compare -94 and -45
  No swap needed
  Compare -45 and -26
  No swap needed
  Compare -26 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -45, -26, -18, 0, 7, 30, 64]
</think>

<response>-94, -45, -26, -18, 0, 7, 30, 64</response>


input: Using the bubble sort method, sort 13, 77, -50, -35, -21, -92, 96, 2, -70 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [13, 77, -50, -35, -21, -92, 96, 2, -70]

Pass 1:
  Compare 13 and 77
  No swap needed
  Compare 77 and -50
  Swap 77 and -50
  List after swap: [13, -50, 77, -35, -21, -92, 96, 2, -70]
  Compare 77 and -35
  Swap 77 and -35
  List after swap: [13, -50, -35, 77, -21, -92, 96, 2, -70]
  Compare 77 and -21
  Swap 77 and -21
  List after swap: [13, -50, -35, -21, 77, -92, 96, 2, -70]
  Compare 77 and -92
  Swap 77 and -92
  List after swap: [13, -50, -35, -21, -92, 77, 96, 2, -70]
  Compare 77 and 96
  No swap needed
  Compare 96 and 2
  Swap 96 and 2
  List after swap: [13, -50, -35, -21, -92, 77, 2, 96, -70]
  Compare 96 and -70
  Swap 96 and -70
  List after swap: [13, -50, -35, -21, -92, 77, 2, -70, 96]

Pass 2:
  Compare 13 and -50
  Swap 13 and -50
  List after swap: [-50, 13, -35, -21, -92, 77, 2, -70, 96]
  Compare 13 and -35
  Swap 13 and -35
  List after swap: [-50, -35, 13, -21, -92, 77, 2, -70, 96]
  Compare 13 and -21
  Swap 13 and -21
  List after swap: [-50, -35, -21, 13, -92, 77, 2, -70, 96]
  Compare 13 and -92
  Swap 13 and -92
  List after swap: [-50, -35, -21, -92, 13, 77, 2, -70, 96]
  Compare 13 and 77
  No swap needed
  Compare 77 and 2
  Swap 77 and 2
  List after swap: [-50, -35, -21, -92, 13, 2, 77, -70, 96]
  Compare 77 and -70
  Swap 77 and -70
  List after swap: [-50, -35, -21, -92, 13, 2, -70, 77, 96]

Pass 3:
  Compare -50 and -35
  No swap needed
  Compare -35 and -21
  No swap needed
  Compare -21 and -92
  Swap -21 and -92
  List after swap: [-50, -35, -92, -21, 13, 2, -70, 77, 96]
  Compare -21 and 13
  No swap needed
  Compare 13 and 2
  Swap 13 and 2
  List after swap: [-50, -35, -92, -21, 2, 13, -70, 77, 96]
  Compare 13 and -70
  Swap 13 and -70
  List after swap: [-50, -35, -92, -21, 2, -70, 13, 77, 96]

Pass 4:
  Compare -50 and -35
  No swap needed
  Compare -35 and -92
  Swap -35 and -92
  List after swap: [-50, -92, -35, -21, 2, -70, 13, 77, 96]
  Compare -35 and -21
  No swap needed
  Compare -21 and 2
  No swap needed
  Compare 2 and -70
  Swap 2 and -70
  List after swap: [-50, -92, -35, -21, -70, 2, 13, 77, 96]

Pass 5:
  Compare -50 and -92
  Swap -50 and -92
  List after swap: [-92, -50, -35, -21, -70, 2, 13, 77, 96]
  Compare -50 and -35
  No swap needed
  Compare -35 and -21
  No swap needed
  Compare -21 and -70
  Swap -21 and -70
  List after swap: [-92, -50, -35, -70, -21, 2, 13, 77, 96]

Pass 6:
  Compare -92 and -50
  No swap needed
  Compare -50 and -35
  No swap needed
  Compare -35 and -70
  Swap -35 and -70
  List after swap: [-92, -50, -70, -35, -21, 2, 13, 77, 96]

Pass 7:
  Compare -92 and -50
  No swap needed
  Compare -50 and -70
  Swap -50 and -70
  List after swap: [-92, -70, -50, -35, -21, 2, 13, 77, 96]

Pass 8:
  Compare -92 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -70, -50, -35, -21, 2, 13, 77, 96]
</think>

<response>-92, -70, -50, -35, -21, 2, 13, 77, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -43, -69, -57, 66, -82, -93, 95.

output:
<think>
Initial list: [-43, -69, -57, 66, -82, -93, 95]

Pass 1:
  Compare -43 and -69
  Swap -43 and -69
  List after swap: [-69, -43, -57, 66, -82, -93, 95]
  Compare -43 and -57
  Swap -43 and -57
  List after swap: [-69, -57, -43, 66, -82, -93, 95]
  Compare -43 and 66
  No swap needed
  Compare 66 and -82
  Swap 66 and -82
  List after swap: [-69, -57, -43, -82, 66, -93, 95]
  Compare 66 and -93
  Swap 66 and -93
  List after swap: [-69, -57, -43, -82, -93, 66, 95]
  Compare 66 and 95
  No swap needed

Pass 2:
  Compare -69 and -57
  No swap needed
  Compare -57 and -43
  No swap needed
  Compare -43 and -82
  Swap -43 and -82
  List after swap: [-69, -57, -82, -43, -93, 66, 95]
  Compare -43 and -93
  Swap -43 and -93
  List after swap: [-69, -57, -82, -93, -43, 66, 95]
  Compare -43 and 66
  No swap needed

Pass 3:
  Compare -69 and -57
  No swap needed
  Compare -57 and -82
  Swap -57 and -82
  List after swap: [-69, -82, -57, -93, -43, 66, 95]
  Compare -57 and -93
  Swap -57 and -93
  List after swap: [-69, -82, -93, -57, -43, 66, 95]
  Compare -57 and -43
  No swap needed

Pass 4:
  Compare -69 and -82
  Swap -69 and -82
  List after swap: [-82, -69, -93, -57, -43, 66, 95]
  Compare -69 and -93
  Swap -69 and -93
  List after swap: [-82, -93, -69, -57, -43, 66, 95]
  Compare -69 and -57
  No swap needed

Pass 5:
  Compare -82 and -93
  Swap -82 and -93
  List after swap: [-93, -82, -69, -57, -43, 66, 95]
  Compare -82 and -69
  No swap needed

Pass 6:
  Compare -93 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -82, -69, -57, -43, 66, 95]
</think>

<response>-93, -82, -69, -57, -43, 66, 95</response>


input: Using the bubble sort method, sort -11, 33, -18, -68, 57, -99, -56, 74, -92, 48 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-11, 33, -18, -68, 57, -99, -56, 74, -92, 48]

Pass 1:
  Compare -11 and 33
  No swap needed
  Compare 33 and -18
  Swap 33 and -18
  List after swap: [-11, -18, 33, -68, 57, -99, -56, 74, -92, 48]
  Compare 33 and -68
  Swap 33 and -68
  List after swap: [-11, -18, -68, 33, 57, -99, -56, 74, -92, 48]
  Compare 33 and 57
  No swap needed
  Compare 57 and -99
  Swap 57 and -99
  List after swap: [-11, -18, -68, 33, -99, 57, -56, 74, -92, 48]
  Compare 57 and -56
  Swap 57 and -56
  List after swap: [-11, -18, -68, 33, -99, -56, 57, 74, -92, 48]
  Compare 57 and 74
  No swap needed
  Compare 74 and -92
  Swap 74 and -92
  List after swap: [-11, -18, -68, 33, -99, -56, 57, -92, 74, 48]
  Compare 74 and 48
  Swap 74 and 48
  List after swap: [-11, -18, -68, 33, -99, -56, 57, -92, 48, 74]

Pass 2:
  Compare -11 and -18
  Swap -11 and -18
  List after swap: [-18, -11, -68, 33, -99, -56, 57, -92, 48, 74]
  Compare -11 and -68
  Swap -11 and -68
  List after swap: [-18, -68, -11, 33, -99, -56, 57, -92, 48, 74]
  Compare -11 and 33
  No swap needed
  Compare 33 and -99
  Swap 33 and -99
  List after swap: [-18, -68, -11, -99, 33, -56, 57, -92, 48, 74]
  Compare 33 and -56
  Swap 33 and -56
  List after swap: [-18, -68, -11, -99, -56, 33, 57, -92, 48, 74]
  Compare 33 and 57
  No swap needed
  Compare 57 and -92
  Swap 57 and -92
  List after swap: [-18, -68, -11, -99, -56, 33, -92, 57, 48, 74]
  Compare 57 and 48
  Swap 57 and 48
  List after swap: [-18, -68, -11, -99, -56, 33, -92, 48, 57, 74]

Pass 3:
  Compare -18 and -68
  Swap -18 and -68
  List after swap: [-68, -18, -11, -99, -56, 33, -92, 48, 57, 74]
  Compare -18 and -11
  No swap needed
  Compare -11 and -99
  Swap -11 and -99
  List after swap: [-68, -18, -99, -11, -56, 33, -92, 48, 57, 74]
  Compare -11 and -56
  Swap -11 and -56
  List after swap: [-68, -18, -99, -56, -11, 33, -92, 48, 57, 74]
  Compare -11 and 33
  No swap needed
  Compare 33 and -92
  Swap 33 and -92
  List after swap: [-68, -18, -99, -56, -11, -92, 33, 48, 57, 74]
  Compare 33 and 48
  No swap needed

Pass 4:
  Compare -68 and -18
  No swap needed
  Compare -18 and -99
  Swap -18 and -99
  List after swap: [-68, -99, -18, -56, -11, -92, 33, 48, 57, 74]
  Compare -18 and -56
  Swap -18 and -56
  List after swap: [-68, -99, -56, -18, -11, -92, 33, 48, 57, 74]
  Compare -18 and -11
  No swap needed
  Compare -11 and -92
  Swap -11 and -92
  List after swap: [-68, -99, -56, -18, -92, -11, 33, 48, 57, 74]
  Compare -11 and 33
  No swap needed

Pass 5:
  Compare -68 and -99
  Swap -68 and -99
  List after swap: [-99, -68, -56, -18, -92, -11, 33, 48, 57, 74]
  Compare -68 and -56
  No swap needed
  Compare -56 and -18
  No swap needed
  Compare -18 and -92
  Swap -18 and -92
  List after swap: [-99, -68, -56, -92, -18, -11, 33, 48, 57, 74]
  Compare -18 and -11
  No swap needed

Pass 6:
  Compare -99 and -68
  No swap needed
  Compare -68 and -56
  No swap needed
  Compare -56 and -92
  Swap -56 and -92
  List after swap: [-99, -68, -92, -56, -18, -11, 33, 48, 57, 74]
  Compare -56 and -18
  No swap needed

Pass 7:
  Compare -99 and -68
  No swap needed
  Compare -68 and -92
  Swap -68 and -92
  List after swap: [-99, -92, -68, -56, -18, -11, 33, 48, 57, 74]
  Compare -68 and -56
  No swap needed

Pass 8:
  Compare -99 and -92
  No swap needed
  Compare -92 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -92, -68, -56, -18, -11, 33, 48, 57, 74]
</think>

<response>-99, -92, -68, -56, -18, -11, 33, 48, 57, 74</response>


input: Execute bubble sort to sort 75, 95, -47, -68, -96, 82, -88, 12 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [75, 95, -47, -68, -96, 82, -88, 12]

Pass 1:
  Compare 75 and 95
  No swap needed
  Compare 95 and -47
  Swap 95 and -47
  List after swap: [75, -47, 95, -68, -96, 82, -88, 12]
  Compare 95 and -68
  Swap 95 and -68
  List after swap: [75, -47, -68, 95, -96, 82, -88, 12]
  Compare 95 and -96
  Swap 95 and -96
  List after swap: [75, -47, -68, -96, 95, 82, -88, 12]
  Compare 95 and 82
  Swap 95 and 82
  List after swap: [75, -47, -68, -96, 82, 95, -88, 12]
  Compare 95 and -88
  Swap 95 and -88
  List after swap: [75, -47, -68, -96, 82, -88, 95, 12]
  Compare 95 and 12
  Swap 95 and 12
  List after swap: [75, -47, -68, -96, 82, -88, 12, 95]

Pass 2:
  Compare 75 and -47
  Swap 75 and -47
  List after swap: [-47, 75, -68, -96, 82, -88, 12, 95]
  Compare 75 and -68
  Swap 75 and -68
  List after swap: [-47, -68, 75, -96, 82, -88, 12, 95]
  Compare 75 and -96
  Swap 75 and -96
  List after swap: [-47, -68, -96, 75, 82, -88, 12, 95]
  Compare 75 and 82
  No swap needed
  Compare 82 and -88
  Swap 82 and -88
  List after swap: [-47, -68, -96, 75, -88, 82, 12, 95]
  Compare 82 and 12
  Swap 82 and 12
  List after swap: [-47, -68, -96, 75, -88, 12, 82, 95]

Pass 3:
  Compare -47 and -68
  Swap -47 and -68
  List after swap: [-68, -47, -96, 75, -88, 12, 82, 95]
  Compare -47 and -96
  Swap -47 and -96
  List after swap: [-68, -96, -47, 75, -88, 12, 82, 95]
  Compare -47 and 75
  No swap needed
  Compare 75 and -88
  Swap 75 and -88
  List after swap: [-68, -96, -47, -88, 75, 12, 82, 95]
  Compare 75 and 12
  Swap 75 and 12
  List after swap: [-68, -96, -47, -88, 12, 75, 82, 95]

Pass 4:
  Compare -68 and -96
  Swap -68 and -96
  List after swap: [-96, -68, -47, -88, 12, 75, 82, 95]
  Compare -68 and -47
  No swap needed
  Compare -47 and -88
  Swap -47 and -88
  List after swap: [-96, -68, -88, -47, 12, 75, 82, 95]
  Compare -47 and 12
  No swap needed

Pass 5:
  Compare -96 and -68
  No swap needed
  Compare -68 and -88
  Swap -68 and -88
  List after swap: [-96, -88, -68, -47, 12, 75, 82, 95]
  Compare -68 and -47
  No swap needed

Pass 6:
  Compare -96 and -88
  No swap needed
  Compare -88 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -88, -68, -47, 12, 75, 82, 95]
</think>

<response>-96, -88, -68, -47, 12, 75, 82, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 25, 1, -84, 81, -39, 96, 26, -63, 79.

output:
<think>
Initial list: [25, 1, -84, 81, -39, 96, 26, -63, 79]

Pass 1:
  Compare 25 and 1
  Swap 25 and 1
  List after swap: [1, 25, -84, 81, -39, 96, 26, -63, 79]
  Compare 25 and -84
  Swap 25 and -84
  List after swap: [1, -84, 25, 81, -39, 96, 26, -63, 79]
  Compare 25 and 81
  No swap needed
  Compare 81 and -39
  Swap 81 and -39
  List after swap: [1, -84, 25, -39, 81, 96, 26, -63, 79]
  Compare 81 and 96
  No swap needed
  Compare 96 and 26
  Swap 96 and 26
  List after swap: [1, -84, 25, -39, 81, 26, 96, -63, 79]
  Compare 96 and -63
  Swap 96 and -63
  List after swap: [1, -84, 25, -39, 81, 26, -63, 96, 79]
  Compare 96 and 79
  Swap 96 and 79
  List after swap: [1, -84, 25, -39, 81, 26, -63, 79, 96]

Pass 2:
  Compare 1 and -84
  Swap 1 and -84
  List after swap: [-84, 1, 25, -39, 81, 26, -63, 79, 96]
  Compare 1 and 25
  No swap needed
  Compare 25 and -39
  Swap 25 and -39
  List after swap: [-84, 1, -39, 25, 81, 26, -63, 79, 96]
  Compare 25 and 81
  No swap needed
  Compare 81 and 26
  Swap 81 and 26
  List after swap: [-84, 1, -39, 25, 26, 81, -63, 79, 96]
  Compare 81 and -63
  Swap 81 and -63
  List after swap: [-84, 1, -39, 25, 26, -63, 81, 79, 96]
  Compare 81 and 79
  Swap 81 and 79
  List after swap: [-84, 1, -39, 25, 26, -63, 79, 81, 96]

Pass 3:
  Compare -84 and 1
  No swap needed
  Compare 1 and -39
  Swap 1 and -39
  List after swap: [-84, -39, 1, 25, 26, -63, 79, 81, 96]
  Compare 1 and 25
  No swap needed
  Compare 25 and 26
  No swap needed
  Compare 26 and -63
  Swap 26 and -63
  List after swap: [-84, -39, 1, 25, -63, 26, 79, 81, 96]
  Compare 26 and 79
  No swap needed

Pass 4:
  Compare -84 and -39
  No swap needed
  Compare -39 and 1
  No swap needed
  Compare 1 and 25
  No swap needed
  Compare 25 and -63
  Swap 25 and -63
  List after swap: [-84, -39, 1, -63, 25, 26, 79, 81, 96]
  Compare 25 and 26
  No swap needed

Pass 5:
  Compare -84 and -39
  No swap needed
  Compare -39 and 1
  No swap needed
  Compare 1 and -63
  Swap 1 and -63
  List after swap: [-84, -39, -63, 1, 25, 26, 79, 81, 96]
  Compare 1 and 25
  No swap needed

Pass 6:
  Compare -84 and -39
  No swap needed
  Compare -39 and -63
  Swap -39 and -63
  List after swap: [-84, -63, -39, 1, 25, 26, 79, 81, 96]
  Compare -39 and 1
  No swap needed

Pass 7:
  Compare -84 and -63
  No swap needed
  Compare -63 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -63, -39, 1, 25, 26, 79, 81, 96]
</think>

<response>-84, -63, -39, 1, 25, 26, 79, 81, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 44, 67, 39, -84, 28, 69, 29, -20, 6, 27.

output:
<think>
Initial list: [44, 67, 39, -84, 28, 69, 29, -20, 6, 27]

Pass 1:
  Compare 44 and 67
  No swap needed
  Compare 67 and 39
  Swap 67 and 39
  List after swap: [44, 39, 67, -84, 28, 69, 29, -20, 6, 27]
  Compare 67 and -84
  Swap 67 and -84
  List after swap: [44, 39, -84, 67, 28, 69, 29, -20, 6, 27]
  Compare 67 and 28
  Swap 67 and 28
  List after swap: [44, 39, -84, 28, 67, 69, 29, -20, 6, 27]
  Compare 67 and 69
  No swap needed
  Compare 69 and 29
  Swap 69 and 29
  List after swap: [44, 39, -84, 28, 67, 29, 69, -20, 6, 27]
  Compare 69 and -20
  Swap 69 and -20
  List after swap: [44, 39, -84, 28, 67, 29, -20, 69, 6, 27]
  Compare 69 and 6
  Swap 69 and 6
  List after swap: [44, 39, -84, 28, 67, 29, -20, 6, 69, 27]
  Compare 69 and 27
  Swap 69 and 27
  List after swap: [44, 39, -84, 28, 67, 29, -20, 6, 27, 69]

Pass 2:
  Compare 44 and 39
  Swap 44 and 39
  List after swap: [39, 44, -84, 28, 67, 29, -20, 6, 27, 69]
  Compare 44 and -84
  Swap 44 and -84
  List after swap: [39, -84, 44, 28, 67, 29, -20, 6, 27, 69]
  Compare 44 and 28
  Swap 44 and 28
  List after swap: [39, -84, 28, 44, 67, 29, -20, 6, 27, 69]
  Compare 44 and 67
  No swap needed
  Compare 67 and 29
  Swap 67 and 29
  List after swap: [39, -84, 28, 44, 29, 67, -20, 6, 27, 69]
  Compare 67 and -20
  Swap 67 and -20
  List after swap: [39, -84, 28, 44, 29, -20, 67, 6, 27, 69]
  Compare 67 and 6
  Swap 67 and 6
  List after swap: [39, -84, 28, 44, 29, -20, 6, 67, 27, 69]
  Compare 67 and 27
  Swap 67 and 27
  List after swap: [39, -84, 28, 44, 29, -20, 6, 27, 67, 69]

Pass 3:
  Compare 39 and -84
  Swap 39 and -84
  List after swap: [-84, 39, 28, 44, 29, -20, 6, 27, 67, 69]
  Compare 39 and 28
  Swap 39 and 28
  List after swap: [-84, 28, 39, 44, 29, -20, 6, 27, 67, 69]
  Compare 39 and 44
  No swap needed
  Compare 44 and 29
  Swap 44 and 29
  List after swap: [-84, 28, 39, 29, 44, -20, 6, 27, 67, 69]
  Compare 44 and -20
  Swap 44 and -20
  List after swap: [-84, 28, 39, 29, -20, 44, 6, 27, 67, 69]
  Compare 44 and 6
  Swap 44 and 6
  List after swap: [-84, 28, 39, 29, -20, 6, 44, 27, 67, 69]
  Compare 44 and 27
  Swap 44 and 27
  List after swap: [-84, 28, 39, 29, -20, 6, 27, 44, 67, 69]

Pass 4:
  Compare -84 and 28
  No swap needed
  Compare 28 and 39
  No swap needed
  Compare 39 and 29
  Swap 39 and 29
  List after swap: [-84, 28, 29, 39, -20, 6, 27, 44, 67, 69]
  Compare 39 and -20
  Swap 39 and -20
  List after swap: [-84, 28, 29, -20, 39, 6, 27, 44, 67, 69]
  Compare 39 and 6
  Swap 39 and 6
  List after swap: [-84, 28, 29, -20, 6, 39, 27, 44, 67, 69]
  Compare 39 and 27
  Swap 39 and 27
  List after swap: [-84, 28, 29, -20, 6, 27, 39, 44, 67, 69]

Pass 5:
  Compare -84 and 28
  No swap needed
  Compare 28 and 29
  No swap needed
  Compare 29 and -20
  Swap 29 and -20
  List after swap: [-84, 28, -20, 29, 6, 27, 39, 44, 67, 69]
  Compare 29 and 6
  Swap 29 and 6
  List after swap: [-84, 28, -20, 6, 29, 27, 39, 44, 67, 69]
  Compare 29 and 27
  Swap 29 and 27
  List after swap: [-84, 28, -20, 6, 27, 29, 39, 44, 67, 69]

Pass 6:
  Compare -84 and 28
  No swap needed
  Compare 28 and -20
  Swap 28 and -20
  List after swap: [-84, -20, 28, 6, 27, 29, 39, 44, 67, 69]
  Compare 28 and 6
  Swap 28 and 6
  List after swap: [-84, -20, 6, 28, 27, 29, 39, 44, 67, 69]
  Compare 28 and 27
  Swap 28 and 27
  List after swap: [-84, -20, 6, 27, 28, 29, 39, 44, 67, 69]

Pass 7:
  Compare -84 and -20
  No swap needed
  Compare -20 and 6
  No swap needed
  Compare 6 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -20, 6, 27, 28, 29, 39, 44, 67, 69]
</think>

<response>-84, -20, 6, 27, 28, 29, 39, 44, 67, 69</response>


input: Sort these integers 57, 9, 14, -70 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [57, 9, 14, -70]

Pass 1:
  Compare 57 and 9
  Swap 57 and 9
  List after swap: [9, 57, 14, -70]
  Compare 57 and 14
  Swap 57 and 14
  List after swap: [9, 14, 57, -70]
  Compare 57 and -70
  Swap 57 and -70
  List after swap: [9, 14, -70, 57]

Pass 2:
  Compare 9 and 14
  No swap needed
  Compare 14 and -70
  Swap 14 and -70
  List after swap: [9, -70, 14, 57]

Pass 3:
  Compare 9 and -70
  Swap 9 and -70
  List after swap: [-70, 9, 14, 57]

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

Final sorted list: [-70, 9, 14, 57]
</think>

<response>-70, 9, 14, 57</response>


input: Execute bubble sort to sort 54, 69, -31, -32, 84, -14, -87, 27, 26 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [54, 69, -31, -32, 84, -14, -87, 27, 26]

Pass 1:
  Compare 54 and 69
  No swap needed
  Compare 69 and -31
  Swap 69 and -31
  List after swap: [54, -31, 69, -32, 84, -14, -87, 27, 26]
  Compare 69 and -32
  Swap 69 and -32
  List after swap: [54, -31, -32, 69, 84, -14, -87, 27, 26]
  Compare 69 and 84
  No swap needed
  Compare 84 and -14
  Swap 84 and -14
  List after swap: [54, -31, -32, 69, -14, 84, -87, 27, 26]
  Compare 84 and -87
  Swap 84 and -87
  List after swap: [54, -31, -32, 69, -14, -87, 84, 27, 26]
  Compare 84 and 27
  Swap 84 and 27
  List after swap: [54, -31, -32, 69, -14, -87, 27, 84, 26]
  Compare 84 and 26
  Swap 84 and 26
  List after swap: [54, -31, -32, 69, -14, -87, 27, 26, 84]

Pass 2:
  Compare 54 and -31
  Swap 54 and -31
  List after swap: [-31, 54, -32, 69, -14, -87, 27, 26, 84]
  Compare 54 and -32
  Swap 54 and -32
  List after swap: [-31, -32, 54, 69, -14, -87, 27, 26, 84]
  Compare 54 and 69
  No swap needed
  Compare 69 and -14
  Swap 69 and -14
  List after swap: [-31, -32, 54, -14, 69, -87, 27, 26, 84]
  Compare 69 and -87
  Swap 69 and -87
  List after swap: [-31, -32, 54, -14, -87, 69, 27, 26, 84]
  Compare 69 and 27
  Swap 69 and 27
  List after swap: [-31, -32, 54, -14, -87, 27, 69, 26, 84]
  Compare 69 and 26
  Swap 69 and 26
  List after swap: [-31, -32, 54, -14, -87, 27, 26, 69, 84]

Pass 3:
  Compare -31 and -32
  Swap -31 and -32
  List after swap: [-32, -31, 54, -14, -87, 27, 26, 69, 84]
  Compare -31 and 54
  No swap needed
  Compare 54 and -14
  Swap 54 and -14
  List after swap: [-32, -31, -14, 54, -87, 27, 26, 69, 84]
  Compare 54 and -87
  Swap 54 and -87
  List after swap: [-32, -31, -14, -87, 54, 27, 26, 69, 84]
  Compare 54 and 27
  Swap 54 and 27
  List after swap: [-32, -31, -14, -87, 27, 54, 26, 69, 84]
  Compare 54 and 26
  Swap 54 and 26
  List after swap: [-32, -31, -14, -87, 27, 26, 54, 69, 84]

Pass 4:
  Compare -32 and -31
  No swap needed
  Compare -31 and -14
  No swap needed
  Compare -14 and -87
  Swap -14 and -87
  List after swap: [-32, -31, -87, -14, 27, 26, 54, 69, 84]
  Compare -14 and 27
  No swap needed
  Compare 27 and 26
  Swap 27 and 26
  List after swap: [-32, -31, -87, -14, 26, 27, 54, 69, 84]

Pass 5:
  Compare -32 and -31
  No swap needed
  Compare -31 and -87
  Swap -31 and -87
  List after swap: [-32, -87, -31, -14, 26, 27, 54, 69, 84]
  Compare -31 and -14
  No swap needed
  Compare -14 and 26
  No swap needed

Pass 6:
  Compare -32 and -87
  Swap -32 and -87
  List after swap: [-87, -32, -31, -14, 26, 27, 54, 69, 84]
  Compare -32 and -31
  No swap needed
  Compare -31 and -14
  No swap needed

Pass 7:
  Compare -87 and -32
  No swap needed
  Compare -32 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -32, -31, -14, 26, 27, 54, 69, 84]
</think>

<response>-87, -32, -31, -14, 26, 27, 54, 69, 84</response>


input: Using the bubble sort method, sort 85, -5, 42, 97, 0, 64, 84 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [85, -5, 42, 97, 0, 64, 84]

Pass 1:
  Compare 85 and -5
  Swap 85 and -5
  List after swap: [-5, 85, 42, 97, 0, 64, 84]
  Compare 85 and 42
  Swap 85 and 42
  List after swap: [-5, 42, 85, 97, 0, 64, 84]
  Compare 85 and 97
  No swap needed
  Compare 97 and 0
  Swap 97 and 0
  List after swap: [-5, 42, 85, 0, 97, 64, 84]
  Compare 97 and 64
  Swap 97 and 64
  List after swap: [-5, 42, 85, 0, 64, 97, 84]
  Compare 97 and 84
  Swap 97 and 84
  List after swap: [-5, 42, 85, 0, 64, 84, 97]

Pass 2:
  Compare -5 and 42
  No swap needed
  Compare 42 and 85
  No swap needed
  Compare 85 and 0
  Swap 85 and 0
  List after swap: [-5, 42, 0, 85, 64, 84, 97]
  Compare 85 and 64
  Swap 85 and 64
  List after swap: [-5, 42, 0, 64, 85, 84, 97]
  Compare 85 and 84
  Swap 85 and 84
  List after swap: [-5, 42, 0, 64, 84, 85, 97]

Pass 3:
  Compare -5 and 42
  No swap needed
  Compare 42 and 0
  Swap 42 and 0
  List after swap: [-5, 0, 42, 64, 84, 85, 97]
  Compare 42 and 64
  No swap needed
  Compare 64 and 84
  No swap needed

Pass 4:
  Compare -5 and 0
  No swap needed
  Compare 0 and 42
  No swap needed
  Compare 42 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-5, 0, 42, 64, 84, 85, 97]
</think>

<response>-5, 0, 42, 64, 84, 85, 97</response>


input: Carry out the bubble sort algorithm on 69, 46, 81, -12, -45 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [69, 46, 81, -12, -45]

Pass 1:
  Compare 69 and 46
  Swap 69 and 46
  List after swap: [46, 69, 81, -12, -45]
  Compare 69 and 81
  No swap needed
  Compare 81 and -12
  Swap 81 and -12
  List after swap: [46, 69, -12, 81, -45]
  Compare 81 and -45
  Swap 81 and -45
  List after swap: [46, 69, -12, -45, 81]

Pass 2:
  Compare 46 and 69
  No swap needed
  Compare 69 and -12
  Swap 69 and -12
  List after swap: [46, -12, 69, -45, 81]
  Compare 69 and -45
  Swap 69 and -45
  List after swap: [46, -12, -45, 69, 81]

Pass 3:
  Compare 46 and -12
  Swap 46 and -12
  List after swap: [-12, 46, -45, 69, 81]
  Compare 46 and -45
  Swap 46 and -45
  List after swap: [-12, -45, 46, 69, 81]

Pass 4:
  Compare -12 and -45
  Swap -12 and -45
  List after swap: [-45, -12, 46, 69, 81]

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

Final sorted list: [-45, -12, 46, 69, 81]
</think>

<response>-45, -12, 46, 69, 81</response>


input: Carry out the bubble sort algorithm on 0, -2 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [0, -2]

Pass 1:
  Compare 0 and -2
  Swap 0 and -2
  List after swap: [-2, 0]

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

Final sorted list: [-2, 0]
</think>

<response>-2, 0</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 88, 4, -46, 96, 36, 0, 53, -77, 22.

output:
<think>
Initial list: [88, 4, -46, 96, 36, 0, 53, -77, 22]

Pass 1:
  Compare 88 and 4
  Swap 88 and 4
  List after swap: [4, 88, -46, 96, 36, 0, 53, -77, 22]
  Compare 88 and -46
  Swap 88 and -46
  List after swap: [4, -46, 88, 96, 36, 0, 53, -77, 22]
  Compare 88 and 96
  No swap needed
  Compare 96 and 36
  Swap 96 and 36
  List after swap: [4, -46, 88, 36, 96, 0, 53, -77, 22]
  Compare 96 and 0
  Swap 96 and 0
  List after swap: [4, -46, 88, 36, 0, 96, 53, -77, 22]
  Compare 96 and 53
  Swap 96 and 53
  List after swap: [4, -46, 88, 36, 0, 53, 96, -77, 22]
  Compare 96 and -77
  Swap 96 and -77
  List after swap: [4, -46, 88, 36, 0, 53, -77, 96, 22]
  Compare 96 and 22
  Swap 96 and 22
  List after swap: [4, -46, 88, 36, 0, 53, -77, 22, 96]

Pass 2:
  Compare 4 and -46
  Swap 4 and -46
  List after swap: [-46, 4, 88, 36, 0, 53, -77, 22, 96]
  Compare 4 and 88
  No swap needed
  Compare 88 and 36
  Swap 88 and 36
  List after swap: [-46, 4, 36, 88, 0, 53, -77, 22, 96]
  Compare 88 and 0
  Swap 88 and 0
  List after swap: [-46, 4, 36, 0, 88, 53, -77, 22, 96]
  Compare 88 and 53
  Swap 88 and 53
  List after swap: [-46, 4, 36, 0, 53, 88, -77, 22, 96]
  Compare 88 and -77
  Swap 88 and -77
  List after swap: [-46, 4, 36, 0, 53, -77, 88, 22, 96]
  Compare 88 and 22
  Swap 88 and 22
  List after swap: [-46, 4, 36, 0, 53, -77, 22, 88, 96]

Pass 3:
  Compare -46 and 4
  No swap needed
  Compare 4 and 36
  No swap needed
  Compare 36 and 0
  Swap 36 and 0
  List after swap: [-46, 4, 0, 36, 53, -77, 22, 88, 96]
  Compare 36 and 53
  No swap needed
  Compare 53 and -77
  Swap 53 and -77
  List after swap: [-46, 4, 0, 36, -77, 53, 22, 88, 96]
  Compare 53 and 22
  Swap 53 and 22
  List after swap: [-46, 4, 0, 36, -77, 22, 53, 88, 96]

Pass 4:
  Compare -46 and 4
  No swap needed
  Compare 4 and 0
  Swap 4 and 0
  List after swap: [-46, 0, 4, 36, -77, 22, 53, 88, 96]
  Compare 4 and 36
  No swap needed
  Compare 36 and -77
  Swap 36 and -77
  List after swap: [-46, 0, 4, -77, 36, 22, 53, 88, 96]
  Compare 36 and 22
  Swap 36 and 22
  List after swap: [-46, 0, 4, -77, 22, 36, 53, 88, 96]

Pass 5:
  Compare -46 and 0
  No swap needed
  Compare 0 and 4
  No swap needed
  Compare 4 and -77
  Swap 4 and -77
  List after swap: [-46, 0, -77, 4, 22, 36, 53, 88, 96]
  Compare 4 and 22
  No swap needed

Pass 6:
  Compare -46 and 0
  No swap needed
  Compare 0 and -77
  Swap 0 and -77
  List after swap: [-46, -77, 0, 4, 22, 36, 53, 88, 96]
  Compare 0 and 4
  No swap needed

Pass 7:
  Compare -46 and -77
  Swap -46 and -77
  List after swap: [-77, -46, 0, 4, 22, 36, 53, 88, 96]
  Compare -46 and 0
  No swap needed

Pass 8:
  Compare -77 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -46, 0, 4, 22, 36, 53, 88, 96]
</think>

<response>-77, -46, 0, 4, 22, 36, 53, 88, 96</response>


input: Execute bubble sort to sort -38, 95, -8, 60 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-38, 95, -8, 60]

Pass 1:
  Compare -38 and 95
  No swap needed
  Compare 95 and -8
  Swap 95 and -8
  List after swap: [-38, -8, 95, 60]
  Compare 95 and 60
  Swap 95 and 60
  List after swap: [-38, -8, 60, 95]

Pass 2:
  Compare -38 and -8
  No swap needed
  Compare -8 and 60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, -8, 60, 95]
</think>

<response>-38, -8, 60, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -30, -49, 3, 15, -60, -45, -40, -57.

output:
<think>
Initial list: [-30, -49, 3, 15, -60, -45, -40, -57]

Pass 1:
  Compare -30 and -49
  Swap -30 and -49
  List after swap: [-49, -30, 3, 15, -60, -45, -40, -57]
  Compare -30 and 3
  No swap needed
  Compare 3 and 15
  No swap needed
  Compare 15 and -60
  Swap 15 and -60
  List after swap: [-49, -30, 3, -60, 15, -45, -40, -57]
  Compare 15 and -45
  Swap 15 and -45
  List after swap: [-49, -30, 3, -60, -45, 15, -40, -57]
  Compare 15 and -40
  Swap 15 and -40
  List after swap: [-49, -30, 3, -60, -45, -40, 15, -57]
  Compare 15 and -57
  Swap 15 and -57
  List after swap: [-49, -30, 3, -60, -45, -40, -57, 15]

Pass 2:
  Compare -49 and -30
  No swap needed
  Compare -30 and 3
  No swap needed
  Compare 3 and -60
  Swap 3 and -60
  List after swap: [-49, -30, -60, 3, -45, -40, -57, 15]
  Compare 3 and -45
  Swap 3 and -45
  List after swap: [-49, -30, -60, -45, 3, -40, -57, 15]
  Compare 3 and -40
  Swap 3 and -40
  List after swap: [-49, -30, -60, -45, -40, 3, -57, 15]
  Compare 3 and -57
  Swap 3 and -57
  List after swap: [-49, -30, -60, -45, -40, -57, 3, 15]

Pass 3:
  Compare -49 and -30
  No swap needed
  Compare -30 and -60
  Swap -30 and -60
  List after swap: [-49, -60, -30, -45, -40, -57, 3, 15]
  Compare -30 and -45
  Swap -30 and -45
  List after swap: [-49, -60, -45, -30, -40, -57, 3, 15]
  Compare -30 and -40
  Swap -30 and -40
  List after swap: [-49, -60, -45, -40, -30, -57, 3, 15]
  Compare -30 and -57
  Swap -30 and -57
  List after swap: [-49, -60, -45, -40, -57, -30, 3, 15]

Pass 4:
  Compare -49 and -60
  Swap -49 and -60
  List after swap: [-60, -49, -45, -40, -57, -30, 3, 15]
  Compare -49 and -45
  No swap needed
  Compare -45 and -40
  No swap needed
  Compare -40 and -57
  Swap -40 and -57
  List after swap: [-60, -49, -45, -57, -40, -30, 3, 15]

Pass 5:
  Compare -60 and -49
  No swap needed
  Compare -49 and -45
  No swap needed
  Compare -45 and -57
  Swap -45 and -57
  List after swap: [-60, -49, -57, -45, -40, -30, 3, 15]

Pass 6:
  Compare -60 and -49
  No swap needed
  Compare -49 and -57
  Swap -49 and -57
  List after swap: [-60, -57, -49, -45, -40, -30, 3, 15]

Pass 7:
  Compare -60 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -57, -49, -45, -40, -30, 3, 15]
</think>

<response>-60, -57, -49, -45, -40, -30, 3, 15</response>


input: Sort the list -47, 48 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-47, 48]

Pass 1:
  Compare -47 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, 48]
</think>

<response>-47, 48</response>


input: Arrange the numbers -84, 83, 64, 6, 0, -11, -29, 52 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-84, 83, 64, 6, 0, -11, -29, 52]

Pass 1:
  Compare -84 and 83
  No swap needed
  Compare 83 and 64
  Swap 83 and 64
  List after swap: [-84, 64, 83, 6, 0, -11, -29, 52]
  Compare 83 and 6
  Swap 83 and 6
  List after swap: [-84, 64, 6, 83, 0, -11, -29, 52]
  Compare 83 and 0
  Swap 83 and 0
  List after swap: [-84, 64, 6, 0, 83, -11, -29, 52]
  Compare 83 and -11
  Swap 83 and -11
  List after swap: [-84, 64, 6, 0, -11, 83, -29, 52]
  Compare 83 and -29
  Swap 83 and -29
  List after swap: [-84, 64, 6, 0, -11, -29, 83, 52]
  Compare 83 and 52
  Swap 83 and 52
  List after swap: [-84, 64, 6, 0, -11, -29, 52, 83]

Pass 2:
  Compare -84 and 64
  No swap needed
  Compare 64 and 6
  Swap 64 and 6
  List after swap: [-84, 6, 64, 0, -11, -29, 52, 83]
  Compare 64 and 0
  Swap 64 and 0
  List after swap: [-84, 6, 0, 64, -11, -29, 52, 83]
  Compare 64 and -11
  Swap 64 and -11
  List after swap: [-84, 6, 0, -11, 64, -29, 52, 83]
  Compare 64 and -29
  Swap 64 and -29
  List after swap: [-84, 6, 0, -11, -29, 64, 52, 83]
  Compare 64 and 52
  Swap 64 and 52
  List after swap: [-84, 6, 0, -11, -29, 52, 64, 83]

Pass 3:
  Compare -84 and 6
  No swap needed
  Compare 6 and 0
  Swap 6 and 0
  List after swap: [-84, 0, 6, -11, -29, 52, 64, 83]
  Compare 6 and -11
  Swap 6 and -11
  List after swap: [-84, 0, -11, 6, -29, 52, 64, 83]
  Compare 6 and -29
  Swap 6 and -29
  List after swap: [-84, 0, -11, -29, 6, 52, 64, 83]
  Compare 6 and 52
  No swap needed

Pass 4:
  Compare -84 and 0
  No swap needed
  Compare 0 and -11
  Swap 0 and -11
  List after swap: [-84, -11, 0, -29, 6, 52, 64, 83]
  Compare 0 and -29
  Swap 0 and -29
  List after swap: [-84, -11, -29, 0, 6, 52, 64, 83]
  Compare 0 and 6
  No swap needed

Pass 5:
  Compare -84 and -11
  No swap needed
  Compare -11 and -29
  Swap -11 and -29
  List after swap: [-84, -29, -11, 0, 6, 52, 64, 83]
  Compare -11 and 0
  No swap needed

Pass 6:
  Compare -84 and -29
  No swap needed
  Compare -29 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -29, -11, 0, 6, 52, 64, 83]
</think>

<response>-84, -29, -11, 0, 6, 52, 64, 83</response>


input: Sort these integers -58, -42, -28, -51 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-58, -42, -28, -51]

Pass 1:
  Compare -58 and -42
  No swap needed
  Compare -42 and -28
  No swap needed
  Compare -28 and -51
  Swap -28 and -51
  List after swap: [-58, -42, -51, -28]

Pass 2:
  Compare -58 and -42
  No swap needed
  Compare -42 and -51
  Swap -42 and -51
  List after swap: [-58, -51, -42, -28]

Pass 3:
  Compare -58 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -51, -42, -28]
</think>

<response>-58, -51, -42, -28</response>


input: Implement bubble sort on 54, 39, -23, 65, 0, -89, 69, 24 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [54, 39, -23, 65, 0, -89, 69, 24]

Pass 1:
  Compare 54 and 39
  Swap 54 and 39
  List after swap: [39, 54, -23, 65, 0, -89, 69, 24]
  Compare 54 and -23
  Swap 54 and -23
  List after swap: [39, -23, 54, 65, 0, -89, 69, 24]
  Compare 54 and 65
  No swap needed
  Compare 65 and 0
  Swap 65 and 0
  List after swap: [39, -23, 54, 0, 65, -89, 69, 24]
  Compare 65 and -89
  Swap 65 and -89
  List after swap: [39, -23, 54, 0, -89, 65, 69, 24]
  Compare 65 and 69
  No swap needed
  Compare 69 and 24
  Swap 69 and 24
  List after swap: [39, -23, 54, 0, -89, 65, 24, 69]

Pass 2:
  Compare 39 and -23
  Swap 39 and -23
  List after swap: [-23, 39, 54, 0, -89, 65, 24, 69]
  Compare 39 and 54
  No swap needed
  Compare 54 and 0
  Swap 54 and 0
  List after swap: [-23, 39, 0, 54, -89, 65, 24, 69]
  Compare 54 and -89
  Swap 54 and -89
  List after swap: [-23, 39, 0, -89, 54, 65, 24, 69]
  Compare 54 and 65
  No swap needed
  Compare 65 and 24
  Swap 65 and 24
  List after swap: [-23, 39, 0, -89, 54, 24, 65, 69]

Pass 3:
  Compare -23 and 39
  No swap needed
  Compare 39 and 0
  Swap 39 and 0
  List after swap: [-23, 0, 39, -89, 54, 24, 65, 69]
  Compare 39 and -89
  Swap 39 and -89
  List after swap: [-23, 0, -89, 39, 54, 24, 65, 69]
  Compare 39 and 54
  No swap needed
  Compare 54 and 24
  Swap 54 and 24
  List after swap: [-23, 0, -89, 39, 24, 54, 65, 69]

Pass 4:
  Compare -23 and 0
  No swap needed
  Compare 0 and -89
  Swap 0 and -89
  List after swap: [-23, -89, 0, 39, 24, 54, 65, 69]
  Compare 0 and 39
  No swap needed
  Compare 39 and 24
  Swap 39 and 24
  List after swap: [-23, -89, 0, 24, 39, 54, 65, 69]

Pass 5:
  Compare -23 and -89
  Swap -23 and -89
  List after swap: [-89, -23, 0, 24, 39, 54, 65, 69]
  Compare -23 and 0
  No swap needed
  Compare 0 and 24
  No swap needed

Pass 6:
  Compare -89 and -23
  No swap needed
  Compare -23 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -23, 0, 24, 39, 54, 65, 69]
</think>

<response>-89, -23, 0, 24, 39, 54, 65, 69</response>


input: Implement bubble sort on 26, -96 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [26, -96]

Pass 1:
  Compare 26 and -96
  Swap 26 and -96
  List after swap: [-96, 26]

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

Final sorted list: [-96, 26]
</think>

<response>-96, 26</response>


input: Arrange the numbers 72, 59, 22, -37, -60, -55, 81 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [72, 59, 22, -37, -60, -55, 81]

Pass 1:
  Compare 72 and 59
  Swap 72 and 59
  List after swap: [59, 72, 22, -37, -60, -55, 81]
  Compare 72 and 22
  Swap 72 and 22
  List after swap: [59, 22, 72, -37, -60, -55, 81]
  Compare 72 and -37
  Swap 72 and -37
  List after swap: [59, 22, -37, 72, -60, -55, 81]
  Compare 72 and -60
  Swap 72 and -60
  List after swap: [59, 22, -37, -60, 72, -55, 81]
  Compare 72 and -55
  Swap 72 and -55
  List after swap: [59, 22, -37, -60, -55, 72, 81]
  Compare 72 and 81
  No swap needed

Pass 2:
  Compare 59 and 22
  Swap 59 and 22
  List after swap: [22, 59, -37, -60, -55, 72, 81]
  Compare 59 and -37
  Swap 59 and -37
  List after swap: [22, -37, 59, -60, -55, 72, 81]
  Compare 59 and -60
  Swap 59 and -60
  List after swap: [22, -37, -60, 59, -55, 72, 81]
  Compare 59 and -55
  Swap 59 and -55
  List after swap: [22, -37, -60, -55, 59, 72, 81]
  Compare 59 and 72
  No swap needed

Pass 3:
  Compare 22 and -37
  Swap 22 and -37
  List after swap: [-37, 22, -60, -55, 59, 72, 81]
  Compare 22 and -60
  Swap 22 and -60
  List after swap: [-37, -60, 22, -55, 59, 72, 81]
  Compare 22 and -55
  Swap 22 and -55
  List after swap: [-37, -60, -55, 22, 59, 72, 81]
  Compare 22 and 59
  No swap needed

Pass 4:
  Compare -37 and -60
  Swap -37 and -60
  List after swap: [-60, -37, -55, 22, 59, 72, 81]
  Compare -37 and -55
  Swap -37 and -55
  List after swap: [-60, -55, -37, 22, 59, 72, 81]
  Compare -37 and 22
  No swap needed

Pass 5:
  Compare -60 and -55
  No swap needed
  Compare -55 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -55, -37, 22, 59, 72, 81]
</think>

<response>-60, -55, -37, 22, 59, 72, 81</response>


input: Demonstrate how bubble sort orders the integers 76, -54, 81, 64, 95, -83, -33, -98, 11 in ascending sequence, showing all steps.

output:
<think>
Initial list: [76, -54, 81, 64, 95, -83, -33, -98, 11]

Pass 1:
  Compare 76 and -54
  Swap 76 and -54
  List after swap: [-54, 76, 81, 64, 95, -83, -33, -98, 11]
  Compare 76 and 81
  No swap needed
  Compare 81 and 64
  Swap 81 and 64
  List after swap: [-54, 76, 64, 81, 95, -83, -33, -98, 11]
  Compare 81 and 95
  No swap needed
  Compare 95 and -83
  Swap 95 and -83
  List after swap: [-54, 76, 64, 81, -83, 95, -33, -98, 11]
  Compare 95 and -33
  Swap 95 and -33
  List after swap: [-54, 76, 64, 81, -83, -33, 95, -98, 11]
  Compare 95 and -98
  Swap 95 and -98
  List after swap: [-54, 76, 64, 81, -83, -33, -98, 95, 11]
  Compare 95 and 11
  Swap 95 and 11
  List after swap: [-54, 76, 64, 81, -83, -33, -98, 11, 95]

Pass 2:
  Compare -54 and 76
  No swap needed
  Compare 76 and 64
  Swap 76 and 64
  List after swap: [-54, 64, 76, 81, -83, -33, -98, 11, 95]
  Compare 76 and 81
  No swap needed
  Compare 81 and -83
  Swap 81 and -83
  List after swap: [-54, 64, 76, -83, 81, -33, -98, 11, 95]
  Compare 81 and -33
  Swap 81 and -33
  List after swap: [-54, 64, 76, -83, -33, 81, -98, 11, 95]
  Compare 81 and -98
  Swap 81 and -98
  List after swap: [-54, 64, 76, -83, -33, -98, 81, 11, 95]
  Compare 81 and 11
  Swap 81 and 11
  List after swap: [-54, 64, 76, -83, -33, -98, 11, 81, 95]

Pass 3:
  Compare -54 and 64
  No swap needed
  Compare 64 and 76
  No swap needed
  Compare 76 and -83
  Swap 76 and -83
  List after swap: [-54, 64, -83, 76, -33, -98, 11, 81, 95]
  Compare 76 and -33
  Swap 76 and -33
  List after swap: [-54, 64, -83, -33, 76, -98, 11, 81, 95]
  Compare 76 and -98
  Swap 76 and -98
  List after swap: [-54, 64, -83, -33, -98, 76, 11, 81, 95]
  Compare 76 and 11
  Swap 76 and 11
  List after swap: [-54, 64, -83, -33, -98, 11, 76, 81, 95]

Pass 4:
  Compare -54 and 64
  No swap needed
  Compare 64 and -83
  Swap 64 and -83
  List after swap: [-54, -83, 64, -33, -98, 11, 76, 81, 95]
  Compare 64 and -33
  Swap 64 and -33
  List after swap: [-54, -83, -33, 64, -98, 11, 76, 81, 95]
  Compare 64 and -98
  Swap 64 and -98
  List after swap: [-54, -83, -33, -98, 64, 11, 76, 81, 95]
  Compare 64 and 11
  Swap 64 and 11
  List after swap: [-54, -83, -33, -98, 11, 64, 76, 81, 95]

Pass 5:
  Compare -54 and -83
  Swap -54 and -83
  List after swap: [-83, -54, -33, -98, 11, 64, 76, 81, 95]
  Compare -54 and -33
  No swap needed
  Compare -33 and -98
  Swap -33 and -98
  List after swap: [-83, -54, -98, -33, 11, 64, 76, 81, 95]
  Compare -33 and 11
  No swap needed

Pass 6:
  Compare -83 and -54
  No swap needed
  Compare -54 and -98
  Swap -54 and -98
  List after swap: [-83, -98, -54, -33, 11, 64, 76, 81, 95]
  Compare -54 and -33
  No swap needed

Pass 7:
  Compare -83 and -98
  Swap -83 and -98
  List after swap: [-98, -83, -54, -33, 11, 64, 76, 81, 95]
  Compare -83 and -54
  No swap needed

Pass 8:
  Compare -98 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -83, -54, -33, 11, 64, 76, 81, 95]
</think>

<response>-98, -83, -54, -33, 11, 64, 76, 81, 95</response>


input: Perform a bubble sort on the integers 62, -90, 74, 18, 30, 21, -2, 5, 64, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [62, -90, 74, 18, 30, 21, -2, 5, 64]

Pass 1:
  Compare 62 and -90
  Swap 62 and -90
  List after swap: [-90, 62, 74, 18, 30, 21, -2, 5, 64]
  Compare 62 and 74
  No swap needed
  Compare 74 and 18
  Swap 74 and 18
  List after swap: [-90, 62, 18, 74, 30, 21, -2, 5, 64]
  Compare 74 and 30
  Swap 74 and 30
  List after swap: [-90, 62, 18, 30, 74, 21, -2, 5, 64]
  Compare 74 and 21
  Swap 74 and 21
  List after swap: [-90, 62, 18, 30, 21, 74, -2, 5, 64]
  Compare 74 and -2
  Swap 74 and -2
  List after swap: [-90, 62, 18, 30, 21, -2, 74, 5, 64]
  Compare 74 and 5
  Swap 74 and 5
  List after swap: [-90, 62, 18, 30, 21, -2, 5, 74, 64]
  Compare 74 and 64
  Swap 74 and 64
  List after swap: [-90, 62, 18, 30, 21, -2, 5, 64, 74]

Pass 2:
  Compare -90 and 62
  No swap needed
  Compare 62 and 18
  Swap 62 and 18
  List after swap: [-90, 18, 62, 30, 21, -2, 5, 64, 74]
  Compare 62 and 30
  Swap 62 and 30
  List after swap: [-90, 18, 30, 62, 21, -2, 5, 64, 74]
  Compare 62 and 21
  Swap 62 and 21
  List after swap: [-90, 18, 30, 21, 62, -2, 5, 64, 74]
  Compare 62 and -2
  Swap 62 and -2
  List after swap: [-90, 18, 30, 21, -2, 62, 5, 64, 74]
  Compare 62 and 5
  Swap 62 and 5
  List after swap: [-90, 18, 30, 21, -2, 5, 62, 64, 74]
  Compare 62 and 64
  No swap needed

Pass 3:
  Compare -90 and 18
  No swap needed
  Compare 18 and 30
  No swap needed
  Compare 30 and 21
  Swap 30 and 21
  List after swap: [-90, 18, 21, 30, -2, 5, 62, 64, 74]
  Compare 30 and -2
  Swap 30 and -2
  List after swap: [-90, 18, 21, -2, 30, 5, 62, 64, 74]
  Compare 30 and 5
  Swap 30 and 5
  List after swap: [-90, 18, 21, -2, 5, 30, 62, 64, 74]
  Compare 30 and 62
  No swap needed

Pass 4:
  Compare -90 and 18
  No swap needed
  Compare 18 and 21
  No swap needed
  Compare 21 and -2
  Swap 21 and -2
  List after swap: [-90, 18, -2, 21, 5, 30, 62, 64, 74]
  Compare 21 and 5
  Swap 21 and 5
  List after swap: [-90, 18, -2, 5, 21, 30, 62, 64, 74]
  Compare 21 and 30
  No swap needed

Pass 5:
  Compare -90 and 18
  No swap needed
  Compare 18 and -2
  Swap 18 and -2
  List after swap: [-90, -2, 18, 5, 21, 30, 62, 64, 74]
  Compare 18 and 5
  Swap 18 and 5
  List after swap: [-90, -2, 5, 18, 21, 30, 62, 64, 74]
  Compare 18 and 21
  No swap needed

Pass 6:
  Compare -90 and -2
  No swap needed
  Compare -2 and 5
  No swap needed
  Compare 5 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -2, 5, 18, 21, 30, 62, 64, 74]
</think>

<response>-90, -2, 5, 18, 21, 30, 62, 64, 74</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -70, -12, -77, -38, -31.

output:
<think>
Initial list: [-70, -12, -77, -38, -31]

Pass 1:
  Compare -70 and -12
  No swap needed
  Compare -12 and -77
  Swap -12 and -77
  List after swap: [-70, -77, -12, -38, -31]
  Compare -12 and -38
  Swap -12 and -38
  List after swap: [-70, -77, -38, -12, -31]
  Compare -12 and -31
  Swap -12 and -31
  List after swap: [-70, -77, -38, -31, -12]

Pass 2:
  Compare -70 and -77
  Swap -70 and -77
  List after swap: [-77, -70, -38, -31, -12]
  Compare -70 and -38
  No swap needed
  Compare -38 and -31
  No swap needed

Pass 3:
  Compare -77 and -70
  No swap needed
  Compare -70 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -70, -38, -31, -12]
</think>

<response>-77, -70, -38, -31, -12</response>


input: Carry out the bubble sort algorithm on -93, 35, 71, -85, 13 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-93, 35, 71, -85, 13]

Pass 1:
  Compare -93 and 35
  No swap needed
  Compare 35 and 71
  No swap needed
  Compare 71 and -85
  Swap 71 and -85
  List after swap: [-93, 35, -85, 71, 13]
  Compare 71 and 13
  Swap 71 and 13
  List after swap: [-93, 35, -85, 13, 71]

Pass 2:
  Compare -93 and 35
  No swap needed
  Compare 35 and -85
  Swap 35 and -85
  List after swap: [-93, -85, 35, 13, 71]
  Compare 35 and 13
  Swap 35 and 13
  List after swap: [-93, -85, 13, 35, 71]

Pass 3:
  Compare -93 and -85
  No swap needed
  Compare -85 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -85, 13, 35, 71]
</think>

<response>-93, -85, 13, 35, 71</response>


input: Carry out the bubble sort algorithm on 8, 48, -77, -27, 23, -63, -57 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [8, 48, -77, -27, 23, -63, -57]

Pass 1:
  Compare 8 and 48
  No swap needed
  Compare 48 and -77
  Swap 48 and -77
  List after swap: [8, -77, 48, -27, 23, -63, -57]
  Compare 48 and -27
  Swap 48 and -27
  List after swap: [8, -77, -27, 48, 23, -63, -57]
  Compare 48 and 23
  Swap 48 and 23
  List after swap: [8, -77, -27, 23, 48, -63, -57]
  Compare 48 and -63
  Swap 48 and -63
  List after swap: [8, -77, -27, 23, -63, 48, -57]
  Compare 48 and -57
  Swap 48 and -57
  List after swap: [8, -77, -27, 23, -63, -57, 48]

Pass 2:
  Compare 8 and -77
  Swap 8 and -77
  List after swap: [-77, 8, -27, 23, -63, -57, 48]
  Compare 8 and -27
  Swap 8 and -27
  List after swap: [-77, -27, 8, 23, -63, -57, 48]
  Compare 8 and 23
  No swap needed
  Compare 23 and -63
  Swap 23 and -63
  List after swap: [-77, -27, 8, -63, 23, -57, 48]
  Compare 23 and -57
  Swap 23 and -57
  List after swap: [-77, -27, 8, -63, -57, 23, 48]

Pass 3:
  Compare -77 and -27
  No swap needed
  Compare -27 and 8
  No swap needed
  Compare 8 and -63
  Swap 8 and -63
  List after swap: [-77, -27, -63, 8, -57, 23, 48]
  Compare 8 and -57
  Swap 8 and -57
  List after swap: [-77, -27, -63, -57, 8, 23, 48]

Pass 4:
  Compare -77 and -27
  No swap needed
  Compare -27 and -63
  Swap -27 and -63
  List after swap: [-77, -63, -27, -57, 8, 23, 48]
  Compare -27 and -57
  Swap -27 and -57
  List after swap: [-77, -63, -57, -27, 8, 23, 48]

Pass 5:
  Compare -77 and -63
  No swap needed
  Compare -63 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -63, -57, -27, 8, 23, 48]
</think>

<response>-77, -63, -57, -27, 8, 23, 48</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 90, 67, 13, -90, 73, -10, -59, 10, 86.

output:
<think>
Initial list: [90, 67, 13, -90, 73, -10, -59, 10, 86]

Pass 1:
  Compare 90 and 67
  Swap 90 and 67
  List after swap: [67, 90, 13, -90, 73, -10, -59, 10, 86]
  Compare 90 and 13
  Swap 90 and 13
  List after swap: [67, 13, 90, -90, 73, -10, -59, 10, 86]
  Compare 90 and -90
  Swap 90 and -90
  List after swap: [67, 13, -90, 90, 73, -10, -59, 10, 86]
  Compare 90 and 73
  Swap 90 and 73
  List after swap: [67, 13, -90, 73, 90, -10, -59, 10, 86]
  Compare 90 and -10
  Swap 90 and -10
  List after swap: [67, 13, -90, 73, -10, 90, -59, 10, 86]
  Compare 90 and -59
  Swap 90 and -59
  List after swap: [67, 13, -90, 73, -10, -59, 90, 10, 86]
  Compare 90 and 10
  Swap 90 and 10
  List after swap: [67, 13, -90, 73, -10, -59, 10, 90, 86]
  Compare 90 and 86
  Swap 90 and 86
  List after swap: [67, 13, -90, 73, -10, -59, 10, 86, 90]

Pass 2:
  Compare 67 and 13
  Swap 67 and 13
  List after swap: [13, 67, -90, 73, -10, -59, 10, 86, 90]
  Compare 67 and -90
  Swap 67 and -90
  List after swap: [13, -90, 67, 73, -10, -59, 10, 86, 90]
  Compare 67 and 73
  No swap needed
  Compare 73 and -10
  Swap 73 and -10
  List after swap: [13, -90, 67, -10, 73, -59, 10, 86, 90]
  Compare 73 and -59
  Swap 73 and -59
  List after swap: [13, -90, 67, -10, -59, 73, 10, 86, 90]
  Compare 73 and 10
  Swap 73 and 10
  List after swap: [13, -90, 67, -10, -59, 10, 73, 86, 90]
  Compare 73 and 86
  No swap needed

Pass 3:
  Compare 13 and -90
  Swap 13 and -90
  List after swap: [-90, 13, 67, -10, -59, 10, 73, 86, 90]
  Compare 13 and 67
  No swap needed
  Compare 67 and -10
  Swap 67 and -10
  List after swap: [-90, 13, -10, 67, -59, 10, 73, 86, 90]
  Compare 67 and -59
  Swap 67 and -59
  List after swap: [-90, 13, -10, -59, 67, 10, 73, 86, 90]
  Compare 67 and 10
  Swap 67 and 10
  List after swap: [-90, 13, -10, -59, 10, 67, 73, 86, 90]
  Compare 67 and 73
  No swap needed

Pass 4:
  Compare -90 and 13
  No swap needed
  Compare 13 and -10
  Swap 13 and -10
  List after swap: [-90, -10, 13, -59, 10, 67, 73, 86, 90]
  Compare 13 and -59
  Swap 13 and -59
  List after swap: [-90, -10, -59, 13, 10, 67, 73, 86, 90]
  Compare 13 and 10
  Swap 13 and 10
  List after swap: [-90, -10, -59, 10, 13, 67, 73, 86, 90]
  Compare 13 and 67
  No swap needed

Pass 5:
  Compare -90 and -10
  No swap needed
  Compare -10 and -59
  Swap -10 and -59
  List after swap: [-90, -59, -10, 10, 13, 67, 73, 86, 90]
  Compare -10 and 10
  No swap needed
  Compare 10 and 13
  No swap needed

Pass 6:
  Compare -90 and -59
  No swap needed
  Compare -59 and -10
  No swap needed
  Compare -10 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -59, -10, 10, 13, 67, 73, 86, 90]
</think>

<response>-90, -59, -10, 10, 13, 67, 73, 86, 90</response>


input: Execute bubble sort to sort -91, 5, 22, -4 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-91, 5, 22, -4]

Pass 1:
  Compare -91 and 5
  No swap needed
  Compare 5 and 22
  No swap needed
  Compare 22 and -4
  Swap 22 and -4
  List after swap: [-91, 5, -4, 22]

Pass 2:
  Compare -91 and 5
  No swap needed
  Compare 5 and -4
  Swap 5 and -4
  List after swap: [-91, -4, 5, 22]

Pass 3:
  Compare -91 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -4, 5, 22]
</think>

<response>-91, -4, 5, 22</response>


input: Demonstrate how bubble sort orders the integers 51, 58, 24, 59, 47, -68, -60, 77, -8, -86 in ascending sequence, showing all steps.

output:
<think>
Initial list: [51, 58, 24, 59, 47, -68, -60, 77, -8, -86]

Pass 1:
  Compare 51 and 58
  No swap needed
  Compare 58 and 24
  Swap 58 and 24
  List after swap: [51, 24, 58, 59, 47, -68, -60, 77, -8, -86]
  Compare 58 and 59
  No swap needed
  Compare 59 and 47
  Swap 59 and 47
  List after swap: [51, 24, 58, 47, 59, -68, -60, 77, -8, -86]
  Compare 59 and -68
  Swap 59 and -68
  List after swap: [51, 24, 58, 47, -68, 59, -60, 77, -8, -86]
  Compare 59 and -60
  Swap 59 and -60
  List after swap: [51, 24, 58, 47, -68, -60, 59, 77, -8, -86]
  Compare 59 and 77
  No swap needed
  Compare 77 and -8
  Swap 77 and -8
  List after swap: [51, 24, 58, 47, -68, -60, 59, -8, 77, -86]
  Compare 77 and -86
  Swap 77 and -86
  List after swap: [51, 24, 58, 47, -68, -60, 59, -8, -86, 77]

Pass 2:
  Compare 51 and 24
  Swap 51 and 24
  List after swap: [24, 51, 58, 47, -68, -60, 59, -8, -86, 77]
  Compare 51 and 58
  No swap needed
  Compare 58 and 47
  Swap 58 and 47
  List after swap: [24, 51, 47, 58, -68, -60, 59, -8, -86, 77]
  Compare 58 and -68
  Swap 58 and -68
  List after swap: [24, 51, 47, -68, 58, -60, 59, -8, -86, 77]
  Compare 58 and -60
  Swap 58 and -60
  List after swap: [24, 51, 47, -68, -60, 58, 59, -8, -86, 77]
  Compare 58 and 59
  No swap needed
  Compare 59 and -8
  Swap 59 and -8
  List after swap: [24, 51, 47, -68, -60, 58, -8, 59, -86, 77]
  Compare 59 and -86
  Swap 59 and -86
  List after swap: [24, 51, 47, -68, -60, 58, -8, -86, 59, 77]

Pass 3:
  Compare 24 and 51
  No swap needed
  Compare 51 and 47
  Swap 51 and 47
  List after swap: [24, 47, 51, -68, -60, 58, -8, -86, 59, 77]
  Compare 51 and -68
  Swap 51 and -68
  List after swap: [24, 47, -68, 51, -60, 58, -8, -86, 59, 77]
  Compare 51 and -60
  Swap 51 and -60
  List after swap: [24, 47, -68, -60, 51, 58, -8, -86, 59, 77]
  Compare 51 and 58
  No swap needed
  Compare 58 and -8
  Swap 58 and -8
  List after swap: [24, 47, -68, -60, 51, -8, 58, -86, 59, 77]
  Compare 58 and -86
  Swap 58 and -86
  List after swap: [24, 47, -68, -60, 51, -8, -86, 58, 59, 77]

Pass 4:
  Compare 24 and 47
  No swap needed
  Compare 47 and -68
  Swap 47 and -68
  List after swap: [24, -68, 47, -60, 51, -8, -86, 58, 59, 77]
  Compare 47 and -60
  Swap 47 and -60
  List after swap: [24, -68, -60, 47, 51, -8, -86, 58, 59, 77]
  Compare 47 and 51
  No swap needed
  Compare 51 and -8
  Swap 51 and -8
  List after swap: [24, -68, -60, 47, -8, 51, -86, 58, 59, 77]
  Compare 51 and -86
  Swap 51 and -86
  List after swap: [24, -68, -60, 47, -8, -86, 51, 58, 59, 77]

Pass 5:
  Compare 24 and -68
  Swap 24 and -68
  List after swap: [-68, 24, -60, 47, -8, -86, 51, 58, 59, 77]
  Compare 24 and -60
  Swap 24 and -60
  List after swap: [-68, -60, 24, 47, -8, -86, 51, 58, 59, 77]
  Compare 24 and 47
  No swap needed
  Compare 47 and -8
  Swap 47 and -8
  List after swap: [-68, -60, 24, -8, 47, -86, 51, 58, 59, 77]
  Compare 47 and -86
  Swap 47 and -86
  List after swap: [-68, -60, 24, -8, -86, 47, 51, 58, 59, 77]

Pass 6:
  Compare -68 and -60
  No swap needed
  Compare -60 and 24
  No swap needed
  Compare 24 and -8
  Swap 24 and -8
  List after swap: [-68, -60, -8, 24, -86, 47, 51, 58, 59, 77]
  Compare 24 and -86
  Swap 24 and -86
  List after swap: [-68, -60, -8, -86, 24, 47, 51, 58, 59, 77]

Pass 7:
  Compare -68 and -60
  No swap needed
  Compare -60 and -8
  No swap needed
  Compare -8 and -86
  Swap -8 and -86
  List after swap: [-68, -60, -86, -8, 24, 47, 51, 58, 59, 77]

Pass 8:
  Compare -68 and -60
  No swap needed
  Compare -60 and -86
  Swap -60 and -86
  List after swap: [-68, -86, -60, -8, 24, 47, 51, 58, 59, 77]

Pass 9:
  Compare -68 and -86
  Swap -68 and -86
  List after swap: [-86, -68, -60, -8, 24, 47, 51, 58, 59, 77]

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

Final sorted list: [-86, -68, -60, -8, 24, 47, 51, 58, 59, 77]
</think>

<response>-86, -68, -60, -8, 24, 47, 51, 58, 59, 77</response>


input: Use the bubble sort technique to reorder -9, -32, 87, -39, -28, 42, 93, 43 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-9, -32, 87, -39, -28, 42, 93, 43]

Pass 1:
  Compare -9 and -32
  Swap -9 and -32
  List after swap: [-32, -9, 87, -39, -28, 42, 93, 43]
  Compare -9 and 87
  No swap needed
  Compare 87 and -39
  Swap 87 and -39
  List after swap: [-32, -9, -39, 87, -28, 42, 93, 43]
  Compare 87 and -28
  Swap 87 and -28
  List after swap: [-32, -9, -39, -28, 87, 42, 93, 43]
  Compare 87 and 42
  Swap 87 and 42
  List after swap: [-32, -9, -39, -28, 42, 87, 93, 43]
  Compare 87 and 93
  No swap needed
  Compare 93 and 43
  Swap 93 and 43
  List after swap: [-32, -9, -39, -28, 42, 87, 43, 93]

Pass 2:
  Compare -32 and -9
  No swap needed
  Compare -9 and -39
  Swap -9 and -39
  List after swap: [-32, -39, -9, -28, 42, 87, 43, 93]
  Compare -9 and -28
  Swap -9 and -28
  List after swap: [-32, -39, -28, -9, 42, 87, 43, 93]
  Compare -9 and 42
  No swap needed
  Compare 42 and 87
  No swap needed
  Compare 87 and 43
  Swap 87 and 43
  List after swap: [-32, -39, -28, -9, 42, 43, 87, 93]

Pass 3:
  Compare -32 and -39
  Swap -32 and -39
  List after swap: [-39, -32, -28, -9, 42, 43, 87, 93]
  Compare -32 and -28
  No swap needed
  Compare -28 and -9
  No swap needed
  Compare -9 and 42
  No swap needed
  Compare 42 and 43
  No swap needed

Pass 4:
  Compare -39 and -32
  No swap needed
  Compare -32 and -28
  No swap needed
  Compare -28 and -9
  No swap needed
  Compare -9 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -32, -28, -9, 42, 43, 87, 93]
</think>

<response>-39, -32, -28, -9, 42, 43, 87, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 10, -78, -46, 58, 17.

output:
<think>
Initial list: [10, -78, -46, 58, 17]

Pass 1:
  Compare 10 and -78
  Swap 10 and -78
  List after swap: [-78, 10, -46, 58, 17]
  Compare 10 and -46
  Swap 10 and -46
  List after swap: [-78, -46, 10, 58, 17]
  Compare 10 and 58
  No swap needed
  Compare 58 and 17
  Swap 58 and 17
  List after swap: [-78, -46, 10, 17, 58]

Pass 2:
  Compare -78 and -46
  No swap needed
  Compare -46 and 10
  No swap needed
  Compare 10 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -46, 10, 17, 58]
</think>

<response>-78, -46, 10, 17, 58</response>


input: Sort these integers 4, 34, 83 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [4, 34, 83]

Pass 1:
  Compare 4 and 34
  No swap needed
  Compare 34 and 83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [4, 34, 83]
</think>

<response>4, 34, 83</response>


input: Arrange the numbers 17, 5, 73, -2 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [17, 5, 73, -2]

Pass 1:
  Compare 17 and 5
  Swap 17 and 5
  List after swap: [5, 17, 73, -2]
  Compare 17 and 73
  No swap needed
  Compare 73 and -2
  Swap 73 and -2
  List after swap: [5, 17, -2, 73]

Pass 2:
  Compare 5 and 17
  No swap needed
  Compare 17 and -2
  Swap 17 and -2
  List after swap: [5, -2, 17, 73]

Pass 3:
  Compare 5 and -2
  Swap 5 and -2
  List after swap: [-2, 5, 17, 73]

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

Final sorted list: [-2, 5, 17, 73]
</think>

<response>-2, 5, 17, 73</response>


input: Demonstrate how bubble sort orders the integers 49, 50, 76 in ascending sequence, showing all steps.

output:
<think>
Initial list: [49, 50, 76]

Pass 1:
  Compare 49 and 50
  No swap needed
  Compare 50 and 76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [49, 50, 76]
</think>

<response>49, 50, 76</response>


input: Sort the list -40, 57, -89, -58, -68, 77, -99 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-40, 57, -89, -58, -68, 77, -99]

Pass 1:
  Compare -40 and 57
  No swap needed
  Compare 57 and -89
  Swap 57 and -89
  List after swap: [-40, -89, 57, -58, -68, 77, -99]
  Compare 57 and -58
  Swap 57 and -58
  List after swap: [-40, -89, -58, 57, -68, 77, -99]
  Compare 57 and -68
  Swap 57 and -68
  List after swap: [-40, -89, -58, -68, 57, 77, -99]
  Compare 57 and 77
  No swap needed
  Compare 77 and -99
  Swap 77 and -99
  List after swap: [-40, -89, -58, -68, 57, -99, 77]

Pass 2:
  Compare -40 and -89
  Swap -40 and -89
  List after swap: [-89, -40, -58, -68, 57, -99, 77]
  Compare -40 and -58
  Swap -40 and -58
  List after swap: [-89, -58, -40, -68, 57, -99, 77]
  Compare -40 and -68
  Swap -40 and -68
  List after swap: [-89, -58, -68, -40, 57, -99, 77]
  Compare -40 and 57
  No swap needed
  Compare 57 and -99
  Swap 57 and -99
  List after swap: [-89, -58, -68, -40, -99, 57, 77]

Pass 3:
  Compare -89 and -58
  No swap needed
  Compare -58 and -68
  Swap -58 and -68
  List after swap: [-89, -68, -58, -40, -99, 57, 77]
  Compare -58 and -40
  No swap needed
  Compare -40 and -99
  Swap -40 and -99
  List after swap: [-89, -68, -58, -99, -40, 57, 77]

Pass 4:
  Compare -89 and -68
  No swap needed
  Compare -68 and -58
  No swap needed
  Compare -58 and -99
  Swap -58 and -99
  List after swap: [-89, -68, -99, -58, -40, 57, 77]

Pass 5:
  Compare -89 and -68
  No swap needed
  Compare -68 and -99
  Swap -68 and -99
  List after swap: [-89, -99, -68, -58, -40, 57, 77]

Pass 6:
  Compare -89 and -99
  Swap -89 and -99
  List after swap: [-99, -89, -68, -58, -40, 57, 77]

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

Final sorted list: [-99, -89, -68, -58, -40, 57, 77]
</think>

<response>-99, -89, -68, -58, -40, 57, 77</response>


input: Arrange the numbers 42, 26, -73, 76, 50, -67 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [42, 26, -73, 76, 50, -67]

Pass 1:
  Compare 42 and 26
  Swap 42 and 26
  List after swap: [26, 42, -73, 76, 50, -67]
  Compare 42 and -73
  Swap 42 and -73
  List after swap: [26, -73, 42, 76, 50, -67]
  Compare 42 and 76
  No swap needed
  Compare 76 and 50
  Swap 76 and 50
  List after swap: [26, -73, 42, 50, 76, -67]
  Compare 76 and -67
  Swap 76 and -67
  List after swap: [26, -73, 42, 50, -67, 76]

Pass 2:
  Compare 26 and -73
  Swap 26 and -73
  List after swap: [-73, 26, 42, 50, -67, 76]
  Compare 26 and 42
  No swap needed
  Compare 42 and 50
  No swap needed
  Compare 50 and -67
  Swap 50 and -67
  List after swap: [-73, 26, 42, -67, 50, 76]

Pass 3:
  Compare -73 and 26
  No swap needed
  Compare 26 and 42
  No swap needed
  Compare 42 and -67
  Swap 42 and -67
  List after swap: [-73, 26, -67, 42, 50, 76]

Pass 4:
  Compare -73 and 26
  No swap needed
  Compare 26 and -67
  Swap 26 and -67
  List after swap: [-73, -67, 26, 42, 50, 76]

Pass 5:
  Compare -73 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -67, 26, 42, 50, 76]
</think>

<response>-73, -67, 26, 42, 50, 76</response>


input: Use the bubble sort technique to reorder 53, -87, -53, 37, 11, 60, -7, -21, -47, -71 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [53, -87, -53, 37, 11, 60, -7, -21, -47, -71]

Pass 1:
  Compare 53 and -87
  Swap 53 and -87
  List after swap: [-87, 53, -53, 37, 11, 60, -7, -21, -47, -71]
  Compare 53 and -53
  Swap 53 and -53
  List after swap: [-87, -53, 53, 37, 11, 60, -7, -21, -47, -71]
  Compare 53 and 37
  Swap 53 and 37
  List after swap: [-87, -53, 37, 53, 11, 60, -7, -21, -47, -71]
  Compare 53 and 11
  Swap 53 and 11
  List after swap: [-87, -53, 37, 11, 53, 60, -7, -21, -47, -71]
  Compare 53 and 60
  No swap needed
  Compare 60 and -7
  Swap 60 and -7
  List after swap: [-87, -53, 37, 11, 53, -7, 60, -21, -47, -71]
  Compare 60 and -21
  Swap 60 and -21
  List after swap: [-87, -53, 37, 11, 53, -7, -21, 60, -47, -71]
  Compare 60 and -47
  Swap 60 and -47
  List after swap: [-87, -53, 37, 11, 53, -7, -21, -47, 60, -71]
  Compare 60 and -71
  Swap 60 and -71
  List after swap: [-87, -53, 37, 11, 53, -7, -21, -47, -71, 60]

Pass 2:
  Compare -87 and -53
  No swap needed
  Compare -53 and 37
  No swap needed
  Compare 37 and 11
  Swap 37 and 11
  List after swap: [-87, -53, 11, 37, 53, -7, -21, -47, -71, 60]
  Compare 37 and 53
  No swap needed
  Compare 53 and -7
  Swap 53 and -7
  List after swap: [-87, -53, 11, 37, -7, 53, -21, -47, -71, 60]
  Compare 53 and -21
  Swap 53 and -21
  List after swap: [-87, -53, 11, 37, -7, -21, 53, -47, -71, 60]
  Compare 53 and -47
  Swap 53 and -47
  List after swap: [-87, -53, 11, 37, -7, -21, -47, 53, -71, 60]
  Compare 53 and -71
  Swap 53 and -71
  List after swap: [-87, -53, 11, 37, -7, -21, -47, -71, 53, 60]

Pass 3:
  Compare -87 and -53
  No swap needed
  Compare -53 and 11
  No swap needed
  Compare 11 and 37
  No swap needed
  Compare 37 and -7
  Swap 37 and -7
  List after swap: [-87, -53, 11, -7, 37, -21, -47, -71, 53, 60]
  Compare 37 and -21
  Swap 37 and -21
  List after swap: [-87, -53, 11, -7, -21, 37, -47, -71, 53, 60]
  Compare 37 and -47
  Swap 37 and -47
  List after swap: [-87, -53, 11, -7, -21, -47, 37, -71, 53, 60]
  Compare 37 and -71
  Swap 37 and -71
  List after swap: [-87, -53, 11, -7, -21, -47, -71, 37, 53, 60]

Pass 4:
  Compare -87 and -53
  No swap needed
  Compare -53 and 11
  No swap needed
  Compare 11 and -7
  Swap 11 and -7
  List after swap: [-87, -53, -7, 11, -21, -47, -71, 37, 53, 60]
  Compare 11 and -21
  Swap 11 and -21
  List after swap: [-87, -53, -7, -21, 11, -47, -71, 37, 53, 60]
  Compare 11 and -47
  Swap 11 and -47
  List after swap: [-87, -53, -7, -21, -47, 11, -71, 37, 53, 60]
  Compare 11 and -71
  Swap 11 and -71
  List after swap: [-87, -53, -7, -21, -47, -71, 11, 37, 53, 60]

Pass 5:
  Compare -87 and -53
  No swap needed
  Compare -53 and -7
  No swap needed
  Compare -7 and -21
  Swap -7 and -21
  List after swap: [-87, -53, -21, -7, -47, -71, 11, 37, 53, 60]
  Compare -7 and -47
  Swap -7 and -47
  List after swap: [-87, -53, -21, -47, -7, -71, 11, 37, 53, 60]
  Compare -7 and -71
  Swap -7 and -71
  List after swap: [-87, -53, -21, -47, -71, -7, 11, 37, 53, 60]

Pass 6:
  Compare -87 and -53
  No swap needed
  Compare -53 and -21
  No swap needed
  Compare -21 and -47
  Swap -21 and -47
  List after swap: [-87, -53, -47, -21, -71, -7, 11, 37, 53, 60]
  Compare -21 and -71
  Swap -21 and -71
  List after swap: [-87, -53, -47, -71, -21, -7, 11, 37, 53, 60]

Pass 7:
  Compare -87 and -53
  No swap needed
  Compare -53 and -47
  No swap needed
  Compare -47 and -71
  Swap -47 and -71
  List after swap: [-87, -53, -71, -47, -21, -7, 11, 37, 53, 60]

Pass 8:
  Compare -87 and -53
  No swap needed
  Compare -53 and -71
  Swap -53 and -71
  List after swap: [-87, -71, -53, -47, -21, -7, 11, 37, 53, 60]

Pass 9:
  Compare -87 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -71, -53, -47, -21, -7, 11, 37, 53, 60]
</think>

<response>-87, -71, -53, -47, -21, -7, 11, 37, 53, 60</response>


input: Using the bubble sort method, sort 71, 66, -59, -99, 61, -4, -29 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [71, 66, -59, -99, 61, -4, -29]

Pass 1:
  Compare 71 and 66
  Swap 71 and 66
  List after swap: [66, 71, -59, -99, 61, -4, -29]
  Compare 71 and -59
  Swap 71 and -59
  List after swap: [66, -59, 71, -99, 61, -4, -29]
  Compare 71 and -99
  Swap 71 and -99
  List after swap: [66, -59, -99, 71, 61, -4, -29]
  Compare 71 and 61
  Swap 71 and 61
  List after swap: [66, -59, -99, 61, 71, -4, -29]
  Compare 71 and -4
  Swap 71 and -4
  List after swap: [66, -59, -99, 61, -4, 71, -29]
  Compare 71 and -29
  Swap 71 and -29
  List after swap: [66, -59, -99, 61, -4, -29, 71]

Pass 2:
  Compare 66 and -59
  Swap 66 and -59
  List after swap: [-59, 66, -99, 61, -4, -29, 71]
  Compare 66 and -99
  Swap 66 and -99
  List after swap: [-59, -99, 66, 61, -4, -29, 71]
  Compare 66 and 61
  Swap 66 and 61
  List after swap: [-59, -99, 61, 66, -4, -29, 71]
  Compare 66 and -4
  Swap 66 and -4
  List after swap: [-59, -99, 61, -4, 66, -29, 71]
  Compare 66 and -29
  Swap 66 and -29
  List after swap: [-59, -99, 61, -4, -29, 66, 71]

Pass 3:
  Compare -59 and -99
  Swap -59 and -99
  List after swap: [-99, -59, 61, -4, -29, 66, 71]
  Compare -59 and 61
  No swap needed
  Compare 61 and -4
  Swap 61 and -4
  List after swap: [-99, -59, -4, 61, -29, 66, 71]
  Compare 61 and -29
  Swap 61 and -29
  List after swap: [-99, -59, -4, -29, 61, 66, 71]

Pass 4:
  Compare -99 and -59
  No swap needed
  Compare -59 and -4
  No swap needed
  Compare -4 and -29
  Swap -4 and -29
  List after swap: [-99, -59, -29, -4, 61, 66, 71]

Pass 5:
  Compare -99 and -59
  No swap needed
  Compare -59 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -59, -29, -4, 61, 66, 71]
</think>

<response>-99, -59, -29, -4, 61, 66, 71</response>


input: Arrange the numbers 28, -21, -81, -9, -18, -88 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [28, -21, -81, -9, -18, -88]

Pass 1:
  Compare 28 and -21
  Swap 28 and -21
  List after swap: [-21, 28, -81, -9, -18, -88]
  Compare 28 and -81
  Swap 28 and -81
  List after swap: [-21, -81, 28, -9, -18, -88]
  Compare 28 and -9
  Swap 28 and -9
  List after swap: [-21, -81, -9, 28, -18, -88]
  Compare 28 and -18
  Swap 28 and -18
  List after swap: [-21, -81, -9, -18, 28, -88]
  Compare 28 and -88
  Swap 28 and -88
  List after swap: [-21, -81, -9, -18, -88, 28]

Pass 2:
  Compare -21 and -81
  Swap -21 and -81
  List after swap: [-81, -21, -9, -18, -88, 28]
  Compare -21 and -9
  No swap needed
  Compare -9 and -18
  Swap -9 and -18
  List after swap: [-81, -21, -18, -9, -88, 28]
  Compare -9 and -88
  Swap -9 and -88
  List after swap: [-81, -21, -18, -88, -9, 28]

Pass 3:
  Compare -81 and -21
  No swap needed
  Compare -21 and -18
  No swap needed
  Compare -18 and -88
  Swap -18 and -88
  List after swap: [-81, -21, -88, -18, -9, 28]

Pass 4:
  Compare -81 and -21
  No swap needed
  Compare -21 and -88
  Swap -21 and -88
  List after swap: [-81, -88, -21, -18, -9, 28]

Pass 5:
  Compare -81 and -88
  Swap -81 and -88
  List after swap: [-88, -81, -21, -18, -9, 28]

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

Final sorted list: [-88, -81, -21, -18, -9, 28]
</think>

<response>-88, -81, -21, -18, -9, 28</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -95, 81, -99, 5.

output:
<think>
Initial list: [-95, 81, -99, 5]

Pass 1:
  Compare -95 and 81
  No swap needed
  Compare 81 and -99
  Swap 81 and -99
  List after swap: [-95, -99, 81, 5]
  Compare 81 and 5
  Swap 81 and 5
  List after swap: [-95, -99, 5, 81]

Pass 2:
  Compare -95 and -99
  Swap -95 and -99
  List after swap: [-99, -95, 5, 81]
  Compare -95 and 5
  No swap needed

Pass 3:
  Compare -99 and -95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -95, 5, 81]
</think>

<response>-99, -95, 5, 81</response>


input: Demonstrate how bubble sort orders the integers -53, 83, 62, -47, -94 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-53, 83, 62, -47, -94]

Pass 1:
  Compare -53 and 83
  No swap needed
  Compare 83 and 62
  Swap 83 and 62
  List after swap: [-53, 62, 83, -47, -94]
  Compare 83 and -47
  Swap 83 and -47
  List after swap: [-53, 62, -47, 83, -94]
  Compare 83 and -94
  Swap 83 and -94
  List after swap: [-53, 62, -47, -94, 83]

Pass 2:
  Compare -53 and 62
  No swap needed
  Compare 62 and -47
  Swap 62 and -47
  List after swap: [-53, -47, 62, -94, 83]
  Compare 62 and -94
  Swap 62 and -94
  List after swap: [-53, -47, -94, 62, 83]

Pass 3:
  Compare -53 and -47
  No swap needed
  Compare -47 and -94
  Swap -47 and -94
  List after swap: [-53, -94, -47, 62, 83]

Pass 4:
  Compare -53 and -94
  Swap -53 and -94
  List after swap: [-94, -53, -47, 62, 83]

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

Final sorted list: [-94, -53, -47, 62, 83]
</think>

<response>-94, -53, -47, 62, 83</response>


input: Sort these integers 8, -15, 44, -40, -89, -16 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [8, -15, 44, -40, -89, -16]

Pass 1:
  Compare 8 and -15
  Swap 8 and -15
  List after swap: [-15, 8, 44, -40, -89, -16]
  Compare 8 and 44
  No swap needed
  Compare 44 and -40
  Swap 44 and -40
  List after swap: [-15, 8, -40, 44, -89, -16]
  Compare 44 and -89
  Swap 44 and -89
  List after swap: [-15, 8, -40, -89, 44, -16]
  Compare 44 and -16
  Swap 44 and -16
  List after swap: [-15, 8, -40, -89, -16, 44]

Pass 2:
  Compare -15 and 8
  No swap needed
  Compare 8 and -40
  Swap 8 and -40
  List after swap: [-15, -40, 8, -89, -16, 44]
  Compare 8 and -89
  Swap 8 and -89
  List after swap: [-15, -40, -89, 8, -16, 44]
  Compare 8 and -16
  Swap 8 and -16
  List after swap: [-15, -40, -89, -16, 8, 44]

Pass 3:
  Compare -15 and -40
  Swap -15 and -40
  List after swap: [-40, -15, -89, -16, 8, 44]
  Compare -15 and -89
  Swap -15 and -89
  List after swap: [-40, -89, -15, -16, 8, 44]
  Compare -15 and -16
  Swap -15 and -16
  List after swap: [-40, -89, -16, -15, 8, 44]

Pass 4:
  Compare -40 and -89
  Swap -40 and -89
  List after swap: [-89, -40, -16, -15, 8, 44]
  Compare -40 and -16
  No swap needed

Pass 5:
  Compare -89 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -40, -16, -15, 8, 44]
</think>

<response>-89, -40, -16, -15, 8, 44</response>


input: Demonstrate how bubble sort orders the integers 45, -43, 56, 52, -32, -44, 67, -58, -7, -22 in ascending sequence, showing all steps.

output:
<think>
Initial list: [45, -43, 56, 52, -32, -44, 67, -58, -7, -22]

Pass 1:
  Compare 45 and -43
  Swap 45 and -43
  List after swap: [-43, 45, 56, 52, -32, -44, 67, -58, -7, -22]
  Compare 45 and 56
  No swap needed
  Compare 56 and 52
  Swap 56 and 52
  List after swap: [-43, 45, 52, 56, -32, -44, 67, -58, -7, -22]
  Compare 56 and -32
  Swap 56 and -32
  List after swap: [-43, 45, 52, -32, 56, -44, 67, -58, -7, -22]
  Compare 56 and -44
  Swap 56 and -44
  List after swap: [-43, 45, 52, -32, -44, 56, 67, -58, -7, -22]
  Compare 56 and 67
  No swap needed
  Compare 67 and -58
  Swap 67 and -58
  List after swap: [-43, 45, 52, -32, -44, 56, -58, 67, -7, -22]
  Compare 67 and -7
  Swap 67 and -7
  List after swap: [-43, 45, 52, -32, -44, 56, -58, -7, 67, -22]
  Compare 67 and -22
  Swap 67 and -22
  List after swap: [-43, 45, 52, -32, -44, 56, -58, -7, -22, 67]

Pass 2:
  Compare -43 and 45
  No swap needed
  Compare 45 and 52
  No swap needed
  Compare 52 and -32
  Swap 52 and -32
  List after swap: [-43, 45, -32, 52, -44, 56, -58, -7, -22, 67]
  Compare 52 and -44
  Swap 52 and -44
  List after swap: [-43, 45, -32, -44, 52, 56, -58, -7, -22, 67]
  Compare 52 and 56
  No swap needed
  Compare 56 and -58
  Swap 56 and -58
  List after swap: [-43, 45, -32, -44, 52, -58, 56, -7, -22, 67]
  Compare 56 and -7
  Swap 56 and -7
  List after swap: [-43, 45, -32, -44, 52, -58, -7, 56, -22, 67]
  Compare 56 and -22
  Swap 56 and -22
  List after swap: [-43, 45, -32, -44, 52, -58, -7, -22, 56, 67]

Pass 3:
  Compare -43 and 45
  No swap needed
  Compare 45 and -32
  Swap 45 and -32
  List after swap: [-43, -32, 45, -44, 52, -58, -7, -22, 56, 67]
  Compare 45 and -44
  Swap 45 and -44
  List after swap: [-43, -32, -44, 45, 52, -58, -7, -22, 56, 67]
  Compare 45 and 52
  No swap needed
  Compare 52 and -58
  Swap 52 and -58
  List after swap: [-43, -32, -44, 45, -58, 52, -7, -22, 56, 67]
  Compare 52 and -7
  Swap 52 and -7
  List after swap: [-43, -32, -44, 45, -58, -7, 52, -22, 56, 67]
  Compare 52 and -22
  Swap 52 and -22
  List after swap: [-43, -32, -44, 45, -58, -7, -22, 52, 56, 67]

Pass 4:
  Compare -43 and -32
  No swap needed
  Compare -32 and -44
  Swap -32 and -44
  List after swap: [-43, -44, -32, 45, -58, -7, -22, 52, 56, 67]
  Compare -32 and 45
  No swap needed
  Compare 45 and -58
  Swap 45 and -58
  List after swap: [-43, -44, -32, -58, 45, -7, -22, 52, 56, 67]
  Compare 45 and -7
  Swap 45 and -7
  List after swap: [-43, -44, -32, -58, -7, 45, -22, 52, 56, 67]
  Compare 45 and -22
  Swap 45 and -22
  List after swap: [-43, -44, -32, -58, -7, -22, 45, 52, 56, 67]

Pass 5:
  Compare -43 and -44
  Swap -43 and -44
  List after swap: [-44, -43, -32, -58, -7, -22, 45, 52, 56, 67]
  Compare -43 and -32
  No swap needed
  Compare -32 and -58
  Swap -32 and -58
  List after swap: [-44, -43, -58, -32, -7, -22, 45, 52, 56, 67]
  Compare -32 and -7
  No swap needed
  Compare -7 and -22
  Swap -7 and -22
  List after swap: [-44, -43, -58, -32, -22, -7, 45, 52, 56, 67]

Pass 6:
  Compare -44 and -43
  No swap needed
  Compare -43 and -58
  Swap -43 and -58
  List after swap: [-44, -58, -43, -32, -22, -7, 45, 52, 56, 67]
  Compare -43 and -32
  No swap needed
  Compare -32 and -22
  No swap needed

Pass 7:
  Compare -44 and -58
  Swap -44 and -58
  List after swap: [-58, -44, -43, -32, -22, -7, 45, 52, 56, 67]
  Compare -44 and -43
  No swap needed
  Compare -43 and -32
  No swap needed

Pass 8:
  Compare -58 and -44
  No swap needed
  Compare -44 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -44, -43, -32, -22, -7, 45, 52, 56, 67]
</think>

<response>-58, -44, -43, -32, -22, -7, 45, 52, 56, 67</response>


input: Carry out the bubble sort algorithm on 37, 77, -65, -98, -22 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [37, 77, -65, -98, -22]

Pass 1:
  Compare 37 and 77
  No swap needed
  Compare 77 and -65
  Swap 77 and -65
  List after swap: [37, -65, 77, -98, -22]
  Compare 77 and -98
  Swap 77 and -98
  List after swap: [37, -65, -98, 77, -22]
  Compare 77 and -22
  Swap 77 and -22
  List after swap: [37, -65, -98, -22, 77]

Pass 2:
  Compare 37 and -65
  Swap 37 and -65
  List after swap: [-65, 37, -98, -22, 77]
  Compare 37 and -98
  Swap 37 and -98
  List after swap: [-65, -98, 37, -22, 77]
  Compare 37 and -22
  Swap 37 and -22
  List after swap: [-65, -98, -22, 37, 77]

Pass 3:
  Compare -65 and -98
  Swap -65 and -98
  List after swap: [-98, -65, -22, 37, 77]
  Compare -65 and -22
  No swap needed

Pass 4:
  Compare -98 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -65, -22, 37, 77]
</think>

<response>-98, -65, -22, 37, 77</response>


input: Using the bubble sort method, sort 83, 25 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [83, 25]

Pass 1:
  Compare 83 and 25
  Swap 83 and 25
  List after swap: [25, 83]

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

Final sorted list: [25, 83]
</think>

<response>25, 83</response>


input: Execute bubble sort to sort -61, 13, -9, -86, 35, -36, -100, 33 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-61, 13, -9, -86, 35, -36, -100, 33]

Pass 1:
  Compare -61 and 13
  No swap needed
  Compare 13 and -9
  Swap 13 and -9
  List after swap: [-61, -9, 13, -86, 35, -36, -100, 33]
  Compare 13 and -86
  Swap 13 and -86
  List after swap: [-61, -9, -86, 13, 35, -36, -100, 33]
  Compare 13 and 35
  No swap needed
  Compare 35 and -36
  Swap 35 and -36
  List after swap: [-61, -9, -86, 13, -36, 35, -100, 33]
  Compare 35 and -100
  Swap 35 and -100
  List after swap: [-61, -9, -86, 13, -36, -100, 35, 33]
  Compare 35 and 33
  Swap 35 and 33
  List after swap: [-61, -9, -86, 13, -36, -100, 33, 35]

Pass 2:
  Compare -61 and -9
  No swap needed
  Compare -9 and -86
  Swap -9 and -86
  List after swap: [-61, -86, -9, 13, -36, -100, 33, 35]
  Compare -9 and 13
  No swap needed
  Compare 13 and -36
  Swap 13 and -36
  List after swap: [-61, -86, -9, -36, 13, -100, 33, 35]
  Compare 13 and -100
  Swap 13 and -100
  List after swap: [-61, -86, -9, -36, -100, 13, 33, 35]
  Compare 13 and 33
  No swap needed

Pass 3:
  Compare -61 and -86
  Swap -61 and -86
  List after swap: [-86, -61, -9, -36, -100, 13, 33, 35]
  Compare -61 and -9
  No swap needed
  Compare -9 and -36
  Swap -9 and -36
  List after swap: [-86, -61, -36, -9, -100, 13, 33, 35]
  Compare -9 and -100
  Swap -9 and -100
  List after swap: [-86, -61, -36, -100, -9, 13, 33, 35]
  Compare -9 and 13
  No swap needed

Pass 4:
  Compare -86 and -61
  No swap needed
  Compare -61 and -36
  No swap needed
  Compare -36 and -100
  Swap -36 and -100
  List after swap: [-86, -61, -100, -36, -9, 13, 33, 35]
  Compare -36 and -9
  No swap needed

Pass 5:
  Compare -86 and -61
  No swap needed
  Compare -61 and -100
  Swap -61 and -100
  List after swap: [-86, -100, -61, -36, -9, 13, 33, 35]
  Compare -61 and -36
  No swap needed

Pass 6:
  Compare -86 and -100
  Swap -86 and -100
  List after swap: [-100, -86, -61, -36, -9, 13, 33, 35]
  Compare -86 and -61
  No swap needed

Pass 7:
  Compare -100 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -86, -61, -36, -9, 13, 33, 35]
</think>

<response>-100, -86, -61, -36, -9, 13, 33, 35</response>


input: Using the bubble sort method, sort -62, -29, -68, 58, -64 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-62, -29, -68, 58, -64]

Pass 1:
  Compare -62 and -29
  No swap needed
  Compare -29 and -68
  Swap -29 and -68
  List after swap: [-62, -68, -29, 58, -64]
  Compare -29 and 58
  No swap needed
  Compare 58 and -64
  Swap 58 and -64
  List after swap: [-62, -68, -29, -64, 58]

Pass 2:
  Compare -62 and -68
  Swap -62 and -68
  List after swap: [-68, -62, -29, -64, 58]
  Compare -62 and -29
  No swap needed
  Compare -29 and -64
  Swap -29 and -64
  List after swap: [-68, -62, -64, -29, 58]

Pass 3:
  Compare -68 and -62
  No swap needed
  Compare -62 and -64
  Swap -62 and -64
  List after swap: [-68, -64, -62, -29, 58]

Pass 4:
  Compare -68 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -64, -62, -29, 58]
</think>

<response>-68, -64, -62, -29, 58</response>


input: Perform a bubble sort on the integers 89, 96, 18, -29, -9, -12, -61, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [89, 96, 18, -29, -9, -12, -61]

Pass 1:
  Compare 89 and 96
  No swap needed
  Compare 96 and 18
  Swap 96 and 18
  List after swap: [89, 18, 96, -29, -9, -12, -61]
  Compare 96 and -29
  Swap 96 and -29
  List after swap: [89, 18, -29, 96, -9, -12, -61]
  Compare 96 and -9
  Swap 96 and -9
  List after swap: [89, 18, -29, -9, 96, -12, -61]
  Compare 96 and -12
  Swap 96 and -12
  List after swap: [89, 18, -29, -9, -12, 96, -61]
  Compare 96 and -61
  Swap 96 and -61
  List after swap: [89, 18, -29, -9, -12, -61, 96]

Pass 2:
  Compare 89 and 18
  Swap 89 and 18
  List after swap: [18, 89, -29, -9, -12, -61, 96]
  Compare 89 and -29
  Swap 89 and -29
  List after swap: [18, -29, 89, -9, -12, -61, 96]
  Compare 89 and -9
  Swap 89 and -9
  List after swap: [18, -29, -9, 89, -12, -61, 96]
  Compare 89 and -12
  Swap 89 and -12
  List after swap: [18, -29, -9, -12, 89, -61, 96]
  Compare 89 and -61
  Swap 89 and -61
  List after swap: [18, -29, -9, -12, -61, 89, 96]

Pass 3:
  Compare 18 and -29
  Swap 18 and -29
  List after swap: [-29, 18, -9, -12, -61, 89, 96]
  Compare 18 and -9
  Swap 18 and -9
  List after swap: [-29, -9, 18, -12, -61, 89, 96]
  Compare 18 and -12
  Swap 18 and -12
  List after swap: [-29, -9, -12, 18, -61, 89, 96]
  Compare 18 and -61
  Swap 18 and -61
  List after swap: [-29, -9, -12, -61, 18, 89, 96]

Pass 4:
  Compare -29 and -9
  No swap needed
  Compare -9 and -12
  Swap -9 and -12
  List after swap: [-29, -12, -9, -61, 18, 89, 96]
  Compare -9 and -61
  Swap -9 and -61
  List after swap: [-29, -12, -61, -9, 18, 89, 96]

Pass 5:
  Compare -29 and -12
  No swap needed
  Compare -12 and -61
  Swap -12 and -61
  List after swap: [-29, -61, -12, -9, 18, 89, 96]

Pass 6:
  Compare -29 and -61
  Swap -29 and -61
  List after swap: [-61, -29, -12, -9, 18, 89, 96]

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

Final sorted list: [-61, -29, -12, -9, 18, 89, 96]
</think>

<response>-61, -29, -12, -9, 18, 89, 96</response>


input: Arrange the numbers -25, 74, -75, -66, -10, -85, 42, -91, -32 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-25, 74, -75, -66, -10, -85, 42, -91, -32]

Pass 1:
  Compare -25 and 74
  No swap needed
  Compare 74 and -75
  Swap 74 and -75
  List after swap: [-25, -75, 74, -66, -10, -85, 42, -91, -32]
  Compare 74 and -66
  Swap 74 and -66
  List after swap: [-25, -75, -66, 74, -10, -85, 42, -91, -32]
  Compare 74 and -10
  Swap 74 and -10
  List after swap: [-25, -75, -66, -10, 74, -85, 42, -91, -32]
  Compare 74 and -85
  Swap 74 and -85
  List after swap: [-25, -75, -66, -10, -85, 74, 42, -91, -32]
  Compare 74 and 42
  Swap 74 and 42
  List after swap: [-25, -75, -66, -10, -85, 42, 74, -91, -32]
  Compare 74 and -91
  Swap 74 and -91
  List after swap: [-25, -75, -66, -10, -85, 42, -91, 74, -32]
  Compare 74 and -32
  Swap 74 and -32
  List after swap: [-25, -75, -66, -10, -85, 42, -91, -32, 74]

Pass 2:
  Compare -25 and -75
  Swap -25 and -75
  List after swap: [-75, -25, -66, -10, -85, 42, -91, -32, 74]
  Compare -25 and -66
  Swap -25 and -66
  List after swap: [-75, -66, -25, -10, -85, 42, -91, -32, 74]
  Compare -25 and -10
  No swap needed
  Compare -10 and -85
  Swap -10 and -85
  List after swap: [-75, -66, -25, -85, -10, 42, -91, -32, 74]
  Compare -10 and 42
  No swap needed
  Compare 42 and -91
  Swap 42 and -91
  List after swap: [-75, -66, -25, -85, -10, -91, 42, -32, 74]
  Compare 42 and -32
  Swap 42 and -32
  List after swap: [-75, -66, -25, -85, -10, -91, -32, 42, 74]

Pass 3:
  Compare -75 and -66
  No swap needed
  Compare -66 and -25
  No swap needed
  Compare -25 and -85
  Swap -25 and -85
  List after swap: [-75, -66, -85, -25, -10, -91, -32, 42, 74]
  Compare -25 and -10
  No swap needed
  Compare -10 and -91
  Swap -10 and -91
  List after swap: [-75, -66, -85, -25, -91, -10, -32, 42, 74]
  Compare -10 and -32
  Swap -10 and -32
  List after swap: [-75, -66, -85, -25, -91, -32, -10, 42, 74]

Pass 4:
  Compare -75 and -66
  No swap needed
  Compare -66 and -85
  Swap -66 and -85
  List after swap: [-75, -85, -66, -25, -91, -32, -10, 42, 74]
  Compare -66 and -25
  No swap needed
  Compare -25 and -91
  Swap -25 and -91
  List after swap: [-75, -85, -66, -91, -25, -32, -10, 42, 74]
  Compare -25 and -32
  Swap -25 and -32
  List after swap: [-75, -85, -66, -91, -32, -25, -10, 42, 74]

Pass 5:
  Compare -75 and -85
  Swap -75 and -85
  List after swap: [-85, -75, -66, -91, -32, -25, -10, 42, 74]
  Compare -75 and -66
  No swap needed
  Compare -66 and -91
  Swap -66 and -91
  List after swap: [-85, -75, -91, -66, -32, -25, -10, 42, 74]
  Compare -66 and -32
  No swap needed

Pass 6:
  Compare -85 and -75
  No swap needed
  Compare -75 and -91
  Swap -75 and -91
  List after swap: [-85, -91, -75, -66, -32, -25, -10, 42, 74]
  Compare -75 and -66
  No swap needed

Pass 7:
  Compare -85 and -91
  Swap -85 and -91
  List after swap: [-91, -85, -75, -66, -32, -25, -10, 42, 74]
  Compare -85 and -75
  No swap needed

Pass 8:
  Compare -91 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -85, -75, -66, -32, -25, -10, 42, 74]
</think>

<response>-91, -85, -75, -66, -32, -25, -10, 42, 74</response>


input: Carry out the bubble sort algorithm on -28, -77, 87, 45, 24, -52, -92, -97, -90, -86 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-28, -77, 87, 45, 24, -52, -92, -97, -90, -86]

Pass 1:
  Compare -28 and -77
  Swap -28 and -77
  List after swap: [-77, -28, 87, 45, 24, -52, -92, -97, -90, -86]
  Compare -28 and 87
  No swap needed
  Compare 87 and 45
  Swap 87 and 45
  List after swap: [-77, -28, 45, 87, 24, -52, -92, -97, -90, -86]
  Compare 87 and 24
  Swap 87 and 24
  List after swap: [-77, -28, 45, 24, 87, -52, -92, -97, -90, -86]
  Compare 87 and -52
  Swap 87 and -52
  List after swap: [-77, -28, 45, 24, -52, 87, -92, -97, -90, -86]
  Compare 87 and -92
  Swap 87 and -92
  List after swap: [-77, -28, 45, 24, -52, -92, 87, -97, -90, -86]
  Compare 87 and -97
  Swap 87 and -97
  List after swap: [-77, -28, 45, 24, -52, -92, -97, 87, -90, -86]
  Compare 87 and -90
  Swap 87 and -90
  List after swap: [-77, -28, 45, 24, -52, -92, -97, -90, 87, -86]
  Compare 87 and -86
  Swap 87 and -86
  List after swap: [-77, -28, 45, 24, -52, -92, -97, -90, -86, 87]

Pass 2:
  Compare -77 and -28
  No swap needed
  Compare -28 and 45
  No swap needed
  Compare 45 and 24
  Swap 45 and 24
  List after swap: [-77, -28, 24, 45, -52, -92, -97, -90, -86, 87]
  Compare 45 and -52
  Swap 45 and -52
  List after swap: [-77, -28, 24, -52, 45, -92, -97, -90, -86, 87]
  Compare 45 and -92
  Swap 45 and -92
  List after swap: [-77, -28, 24, -52, -92, 45, -97, -90, -86, 87]
  Compare 45 and -97
  Swap 45 and -97
  List after swap: [-77, -28, 24, -52, -92, -97, 45, -90, -86, 87]
  Compare 45 and -90
  Swap 45 and -90
  List after swap: [-77, -28, 24, -52, -92, -97, -90, 45, -86, 87]
  Compare 45 and -86
  Swap 45 and -86
  List after swap: [-77, -28, 24, -52, -92, -97, -90, -86, 45, 87]

Pass 3:
  Compare -77 and -28
  No swap needed
  Compare -28 and 24
  No swap needed
  Compare 24 and -52
  Swap 24 and -52
  List after swap: [-77, -28, -52, 24, -92, -97, -90, -86, 45, 87]
  Compare 24 and -92
  Swap 24 and -92
  List after swap: [-77, -28, -52, -92, 24, -97, -90, -86, 45, 87]
  Compare 24 and -97
  Swap 24 and -97
  List after swap: [-77, -28, -52, -92, -97, 24, -90, -86, 45, 87]
  Compare 24 and -90
  Swap 24 and -90
  List after swap: [-77, -28, -52, -92, -97, -90, 24, -86, 45, 87]
  Compare 24 and -86
  Swap 24 and -86
  List after swap: [-77, -28, -52, -92, -97, -90, -86, 24, 45, 87]

Pass 4:
  Compare -77 and -28
  No swap needed
  Compare -28 and -52
  Swap -28 and -52
  List after swap: [-77, -52, -28, -92, -97, -90, -86, 24, 45, 87]
  Compare -28 and -92
  Swap -28 and -92
  List after swap: [-77, -52, -92, -28, -97, -90, -86, 24, 45, 87]
  Compare -28 and -97
  Swap -28 and -97
  List after swap: [-77, -52, -92, -97, -28, -90, -86, 24, 45, 87]
  Compare -28 and -90
  Swap -28 and -90
  List after swap: [-77, -52, -92, -97, -90, -28, -86, 24, 45, 87]
  Compare -28 and -86
  Swap -28 and -86
  List after swap: [-77, -52, -92, -97, -90, -86, -28, 24, 45, 87]

Pass 5:
  Compare -77 and -52
  No swap needed
  Compare -52 and -92
  Swap -52 and -92
  List after swap: [-77, -92, -52, -97, -90, -86, -28, 24, 45, 87]
  Compare -52 and -97
  Swap -52 and -97
  List after swap: [-77, -92, -97, -52, -90, -86, -28, 24, 45, 87]
  Compare -52 and -90
  Swap -52 and -90
  List after swap: [-77, -92, -97, -90, -52, -86, -28, 24, 45, 87]
  Compare -52 and -86
  Swap -52 and -86
  List after swap: [-77, -92, -97, -90, -86, -52, -28, 24, 45, 87]

Pass 6:
  Compare -77 and -92
  Swap -77 and -92
  List after swap: [-92, -77, -97, -90, -86, -52, -28, 24, 45, 87]
  Compare -77 and -97
  Swap -77 and -97
  List after swap: [-92, -97, -77, -90, -86, -52, -28, 24, 45, 87]
  Compare -77 and -90
  Swap -77 and -90
  List after swap: [-92, -97, -90, -77, -86, -52, -28, 24, 45, 87]
  Compare -77 and -86
  Swap -77 and -86
  List after swap: [-92, -97, -90, -86, -77, -52, -28, 24, 45, 87]

Pass 7:
  Compare -92 and -97
  Swap -92 and -97
  List after swap: [-97, -92, -90, -86, -77, -52, -28, 24, 45, 87]
  Compare -92 and -90
  No swap needed
  Compare -90 and -86
  No swap needed

Pass 8:
  Compare -97 and -92
  No swap needed
  Compare -92 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -92, -90, -86, -77, -52, -28, 24, 45, 87]
</think>

<response>-97, -92, -90, -86, -77, -52, -28, 24, 45, 87</response>


input: Sort the list -44, 85, -65, -83, 64 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-44, 85, -65, -83, 64]

Pass 1:
  Compare -44 and 85
  No swap needed
  Compare 85 and -65
  Swap 85 and -65
  List after swap: [-44, -65, 85, -83, 64]
  Compare 85 and -83
  Swap 85 and -83
  List after swap: [-44, -65, -83, 85, 64]
  Compare 85 and 64
  Swap 85 and 64
  List after swap: [-44, -65, -83, 64, 85]

Pass 2:
  Compare -44 and -65
  Swap -44 and -65
  List after swap: [-65, -44, -83, 64, 85]
  Compare -44 and -83
  Swap -44 and -83
  List after swap: [-65, -83, -44, 64, 85]
  Compare -44 and 64
  No swap needed

Pass 3:
  Compare -65 and -83
  Swap -65 and -83
  List after swap: [-83, -65, -44, 64, 85]
  Compare -65 and -44
  No swap needed

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

Final sorted list: [-83, -65, -44, 64, 85]
</think>

<response>-83, -65, -44, 64, 85</response>


input: Carry out the bubble sort algorithm on -16, -26, 82, -77, -10 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-16, -26, 82, -77, -10]

Pass 1:
  Compare -16 and -26
  Swap -16 and -26
  List after swap: [-26, -16, 82, -77, -10]
  Compare -16 and 82
  No swap needed
  Compare 82 and -77
  Swap 82 and -77
  List after swap: [-26, -16, -77, 82, -10]
  Compare 82 and -10
  Swap 82 and -10
  List after swap: [-26, -16, -77, -10, 82]

Pass 2:
  Compare -26 and -16
  No swap needed
  Compare -16 and -77
  Swap -16 and -77
  List after swap: [-26, -77, -16, -10, 82]
  Compare -16 and -10
  No swap needed

Pass 3:
  Compare -26 and -77
  Swap -26 and -77
  List after swap: [-77, -26, -16, -10, 82]
  Compare -26 and -16
  No swap needed

Pass 4:
  Compare -77 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -26, -16, -10, 82]
</think>

<response>-77, -26, -16, -10, 82</response>


input: Implement bubble sort on -52, 57, -95, 13, -75 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-52, 57, -95, 13, -75]

Pass 1:
  Compare -52 and 57
  No swap needed
  Compare 57 and -95
  Swap 57 and -95
  List after swap: [-52, -95, 57, 13, -75]
  Compare 57 and 13
  Swap 57 and 13
  List after swap: [-52, -95, 13, 57, -75]
  Compare 57 and -75
  Swap 57 and -75
  List after swap: [-52, -95, 13, -75, 57]

Pass 2:
  Compare -52 and -95
  Swap -52 and -95
  List after swap: [-95, -52, 13, -75, 57]
  Compare -52 and 13
  No swap needed
  Compare 13 and -75
  Swap 13 and -75
  List after swap: [-95, -52, -75, 13, 57]

Pass 3:
  Compare -95 and -52
  No swap needed
  Compare -52 and -75
  Swap -52 and -75
  List after swap: [-95, -75, -52, 13, 57]

Pass 4:
  Compare -95 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -75, -52, 13, 57]
</think>

<response>-95, -75, -52, 13, 57</response>


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

output:
<think>
Initial list: [25, -21]

Pass 1:
  Compare 25 and -21
  Swap 25 and -21
  List after swap: [-21, 25]

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

Final sorted list: [-21, 25]
</think>

<response>-21, 25</response>