input: Perform a bubble sort on the integers 4, -99, 26, 41, -84, 15, 2, 53, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [4, -99, 26, 41, -84, 15, 2, 53]

Pass 1:
  Compare 4 and -99
  Swap 4 and -99
  List after swap: [-99, 4, 26, 41, -84, 15, 2, 53]
  Compare 4 and 26
  No swap needed
  Compare 26 and 41
  No swap needed
  Compare 41 and -84
  Swap 41 and -84
  List after swap: [-99, 4, 26, -84, 41, 15, 2, 53]
  Compare 41 and 15
  Swap 41 and 15
  List after swap: [-99, 4, 26, -84, 15, 41, 2, 53]
  Compare 41 and 2
  Swap 41 and 2
  List after swap: [-99, 4, 26, -84, 15, 2, 41, 53]
  Compare 41 and 53
  No swap needed

Pass 2:
  Compare -99 and 4
  No swap needed
  Compare 4 and 26
  No swap needed
  Compare 26 and -84
  Swap 26 and -84
  List after swap: [-99, 4, -84, 26, 15, 2, 41, 53]
  Compare 26 and 15
  Swap 26 and 15
  List after swap: [-99, 4, -84, 15, 26, 2, 41, 53]
  Compare 26 and 2
  Swap 26 and 2
  List after swap: [-99, 4, -84, 15, 2, 26, 41, 53]
  Compare 26 and 41
  No swap needed

Pass 3:
  Compare -99 and 4
  No swap needed
  Compare 4 and -84
  Swap 4 and -84
  List after swap: [-99, -84, 4, 15, 2, 26, 41, 53]
  Compare 4 and 15
  No swap needed
  Compare 15 and 2
  Swap 15 and 2
  List after swap: [-99, -84, 4, 2, 15, 26, 41, 53]
  Compare 15 and 26
  No swap needed

Pass 4:
  Compare -99 and -84
  No swap needed
  Compare -84 and 4
  No swap needed
  Compare 4 and 2
  Swap 4 and 2
  List after swap: [-99, -84, 2, 4, 15, 26, 41, 53]
  Compare 4 and 15
  No swap needed

Pass 5:
  Compare -99 and -84
  No swap needed
  Compare -84 and 2
  No swap needed
  Compare 2 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -84, 2, 4, 15, 26, 41, 53]
</think>

<response>-99, -84, 2, 4, 15, 26, 41, 53</response>


input: Arrange the numbers -100, 49 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-100, 49]

Pass 1:
  Compare -100 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, 49]
</think>

<response>-100, 49</response>


input: Demonstrate how bubble sort orders the integers -85, -52, 68 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-85, -52, 68]

Pass 1:
  Compare -85 and -52
  No swap needed
  Compare -52 and 68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -52, 68]
</think>

<response>-85, -52, 68</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -74, -92, -71, -28, 66, 16, -89, -77, 36.

output:
<think>
Initial list: [-74, -92, -71, -28, 66, 16, -89, -77, 36]

Pass 1:
  Compare -74 and -92
  Swap -74 and -92
  List after swap: [-92, -74, -71, -28, 66, 16, -89, -77, 36]
  Compare -74 and -71
  No swap needed
  Compare -71 and -28
  No swap needed
  Compare -28 and 66
  No swap needed
  Compare 66 and 16
  Swap 66 and 16
  List after swap: [-92, -74, -71, -28, 16, 66, -89, -77, 36]
  Compare 66 and -89
  Swap 66 and -89
  List after swap: [-92, -74, -71, -28, 16, -89, 66, -77, 36]
  Compare 66 and -77
  Swap 66 and -77
  List after swap: [-92, -74, -71, -28, 16, -89, -77, 66, 36]
  Compare 66 and 36
  Swap 66 and 36
  List after swap: [-92, -74, -71, -28, 16, -89, -77, 36, 66]

Pass 2:
  Compare -92 and -74
  No swap needed
  Compare -74 and -71
  No swap needed
  Compare -71 and -28
  No swap needed
  Compare -28 and 16
  No swap needed
  Compare 16 and -89
  Swap 16 and -89
  List after swap: [-92, -74, -71, -28, -89, 16, -77, 36, 66]
  Compare 16 and -77
  Swap 16 and -77
  List after swap: [-92, -74, -71, -28, -89, -77, 16, 36, 66]
  Compare 16 and 36
  No swap needed

Pass 3:
  Compare -92 and -74
  No swap needed
  Compare -74 and -71
  No swap needed
  Compare -71 and -28
  No swap needed
  Compare -28 and -89
  Swap -28 and -89
  List after swap: [-92, -74, -71, -89, -28, -77, 16, 36, 66]
  Compare -28 and -77
  Swap -28 and -77
  List after swap: [-92, -74, -71, -89, -77, -28, 16, 36, 66]
  Compare -28 and 16
  No swap needed

Pass 4:
  Compare -92 and -74
  No swap needed
  Compare -74 and -71
  No swap needed
  Compare -71 and -89
  Swap -71 and -89
  List after swap: [-92, -74, -89, -71, -77, -28, 16, 36, 66]
  Compare -71 and -77
  Swap -71 and -77
  List after swap: [-92, -74, -89, -77, -71, -28, 16, 36, 66]
  Compare -71 and -28
  No swap needed

Pass 5:
  Compare -92 and -74
  No swap needed
  Compare -74 and -89
  Swap -74 and -89
  List after swap: [-92, -89, -74, -77, -71, -28, 16, 36, 66]
  Compare -74 and -77
  Swap -74 and -77
  List after swap: [-92, -89, -77, -74, -71, -28, 16, 36, 66]
  Compare -74 and -71
  No swap needed

Pass 6:
  Compare -92 and -89
  No swap needed
  Compare -89 and -77
  No swap needed
  Compare -77 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -89, -77, -74, -71, -28, 16, 36, 66]
</think>

<response>-92, -89, -77, -74, -71, -28, 16, 36, 66</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 60, 88, -97, -44, -100, 39, -88.

output:
<think>
Initial list: [60, 88, -97, -44, -100, 39, -88]

Pass 1:
  Compare 60 and 88
  No swap needed
  Compare 88 and -97
  Swap 88 and -97
  List after swap: [60, -97, 88, -44, -100, 39, -88]
  Compare 88 and -44
  Swap 88 and -44
  List after swap: [60, -97, -44, 88, -100, 39, -88]
  Compare 88 and -100
  Swap 88 and -100
  List after swap: [60, -97, -44, -100, 88, 39, -88]
  Compare 88 and 39
  Swap 88 and 39
  List after swap: [60, -97, -44, -100, 39, 88, -88]
  Compare 88 and -88
  Swap 88 and -88
  List after swap: [60, -97, -44, -100, 39, -88, 88]

Pass 2:
  Compare 60 and -97
  Swap 60 and -97
  List after swap: [-97, 60, -44, -100, 39, -88, 88]
  Compare 60 and -44
  Swap 60 and -44
  List after swap: [-97, -44, 60, -100, 39, -88, 88]
  Compare 60 and -100
  Swap 60 and -100
  List after swap: [-97, -44, -100, 60, 39, -88, 88]
  Compare 60 and 39
  Swap 60 and 39
  List after swap: [-97, -44, -100, 39, 60, -88, 88]
  Compare 60 and -88
  Swap 60 and -88
  List after swap: [-97, -44, -100, 39, -88, 60, 88]

Pass 3:
  Compare -97 and -44
  No swap needed
  Compare -44 and -100
  Swap -44 and -100
  List after swap: [-97, -100, -44, 39, -88, 60, 88]
  Compare -44 and 39
  No swap needed
  Compare 39 and -88
  Swap 39 and -88
  List after swap: [-97, -100, -44, -88, 39, 60, 88]

Pass 4:
  Compare -97 and -100
  Swap -97 and -100
  List after swap: [-100, -97, -44, -88, 39, 60, 88]
  Compare -97 and -44
  No swap needed
  Compare -44 and -88
  Swap -44 and -88
  List after swap: [-100, -97, -88, -44, 39, 60, 88]

Pass 5:
  Compare -100 and -97
  No swap needed
  Compare -97 and -88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -97, -88, -44, 39, 60, 88]
</think>

<response>-100, -97, -88, -44, 39, 60, 88</response>


input: Demonstrate how bubble sort orders the integers -70, 90, 99, 94, 55 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-70, 90, 99, 94, 55]

Pass 1:
  Compare -70 and 90
  No swap needed
  Compare 90 and 99
  No swap needed
  Compare 99 and 94
  Swap 99 and 94
  List after swap: [-70, 90, 94, 99, 55]
  Compare 99 and 55
  Swap 99 and 55
  List after swap: [-70, 90, 94, 55, 99]

Pass 2:
  Compare -70 and 90
  No swap needed
  Compare 90 and 94
  No swap needed
  Compare 94 and 55
  Swap 94 and 55
  List after swap: [-70, 90, 55, 94, 99]

Pass 3:
  Compare -70 and 90
  No swap needed
  Compare 90 and 55
  Swap 90 and 55
  List after swap: [-70, 55, 90, 94, 99]

Pass 4:
  Compare -70 and 55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, 55, 90, 94, 99]
</think>

<response>-70, 55, 90, 94, 99</response>


input: Execute bubble sort to sort 46, -2, 76, -86, -55, -76, 62, 4, 85, -99 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [46, -2, 76, -86, -55, -76, 62, 4, 85, -99]

Pass 1:
  Compare 46 and -2
  Swap 46 and -2
  List after swap: [-2, 46, 76, -86, -55, -76, 62, 4, 85, -99]
  Compare 46 and 76
  No swap needed
  Compare 76 and -86
  Swap 76 and -86
  List after swap: [-2, 46, -86, 76, -55, -76, 62, 4, 85, -99]
  Compare 76 and -55
  Swap 76 and -55
  List after swap: [-2, 46, -86, -55, 76, -76, 62, 4, 85, -99]
  Compare 76 and -76
  Swap 76 and -76
  List after swap: [-2, 46, -86, -55, -76, 76, 62, 4, 85, -99]
  Compare 76 and 62
  Swap 76 and 62
  List after swap: [-2, 46, -86, -55, -76, 62, 76, 4, 85, -99]
  Compare 76 and 4
  Swap 76 and 4
  List after swap: [-2, 46, -86, -55, -76, 62, 4, 76, 85, -99]
  Compare 76 and 85
  No swap needed
  Compare 85 and -99
  Swap 85 and -99
  List after swap: [-2, 46, -86, -55, -76, 62, 4, 76, -99, 85]

Pass 2:
  Compare -2 and 46
  No swap needed
  Compare 46 and -86
  Swap 46 and -86
  List after swap: [-2, -86, 46, -55, -76, 62, 4, 76, -99, 85]
  Compare 46 and -55
  Swap 46 and -55
  List after swap: [-2, -86, -55, 46, -76, 62, 4, 76, -99, 85]
  Compare 46 and -76
  Swap 46 and -76
  List after swap: [-2, -86, -55, -76, 46, 62, 4, 76, -99, 85]
  Compare 46 and 62
  No swap needed
  Compare 62 and 4
  Swap 62 and 4
  List after swap: [-2, -86, -55, -76, 46, 4, 62, 76, -99, 85]
  Compare 62 and 76
  No swap needed
  Compare 76 and -99
  Swap 76 and -99
  List after swap: [-2, -86, -55, -76, 46, 4, 62, -99, 76, 85]

Pass 3:
  Compare -2 and -86
  Swap -2 and -86
  List after swap: [-86, -2, -55, -76, 46, 4, 62, -99, 76, 85]
  Compare -2 and -55
  Swap -2 and -55
  List after swap: [-86, -55, -2, -76, 46, 4, 62, -99, 76, 85]
  Compare -2 and -76
  Swap -2 and -76
  List after swap: [-86, -55, -76, -2, 46, 4, 62, -99, 76, 85]
  Compare -2 and 46
  No swap needed
  Compare 46 and 4
  Swap 46 and 4
  List after swap: [-86, -55, -76, -2, 4, 46, 62, -99, 76, 85]
  Compare 46 and 62
  No swap needed
  Compare 62 and -99
  Swap 62 and -99
  List after swap: [-86, -55, -76, -2, 4, 46, -99, 62, 76, 85]

Pass 4:
  Compare -86 and -55
  No swap needed
  Compare -55 and -76
  Swap -55 and -76
  List after swap: [-86, -76, -55, -2, 4, 46, -99, 62, 76, 85]
  Compare -55 and -2
  No swap needed
  Compare -2 and 4
  No swap needed
  Compare 4 and 46
  No swap needed
  Compare 46 and -99
  Swap 46 and -99
  List after swap: [-86, -76, -55, -2, 4, -99, 46, 62, 76, 85]

Pass 5:
  Compare -86 and -76
  No swap needed
  Compare -76 and -55
  No swap needed
  Compare -55 and -2
  No swap needed
  Compare -2 and 4
  No swap needed
  Compare 4 and -99
  Swap 4 and -99
  List after swap: [-86, -76, -55, -2, -99, 4, 46, 62, 76, 85]

Pass 6:
  Compare -86 and -76
  No swap needed
  Compare -76 and -55
  No swap needed
  Compare -55 and -2
  No swap needed
  Compare -2 and -99
  Swap -2 and -99
  List after swap: [-86, -76, -55, -99, -2, 4, 46, 62, 76, 85]

Pass 7:
  Compare -86 and -76
  No swap needed
  Compare -76 and -55
  No swap needed
  Compare -55 and -99
  Swap -55 and -99
  List after swap: [-86, -76, -99, -55, -2, 4, 46, 62, 76, 85]

Pass 8:
  Compare -86 and -76
  No swap needed
  Compare -76 and -99
  Swap -76 and -99
  List after swap: [-86, -99, -76, -55, -2, 4, 46, 62, 76, 85]

Pass 9:
  Compare -86 and -99
  Swap -86 and -99
  List after swap: [-99, -86, -76, -55, -2, 4, 46, 62, 76, 85]

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

Final sorted list: [-99, -86, -76, -55, -2, 4, 46, 62, 76, 85]
</think>

<response>-99, -86, -76, -55, -2, 4, 46, 62, 76, 85</response>


input: Arrange the numbers 54, 66, -49, 0, -81, -38, -85, -72 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [54, 66, -49, 0, -81, -38, -85, -72]

Pass 1:
  Compare 54 and 66
  No swap needed
  Compare 66 and -49
  Swap 66 and -49
  List after swap: [54, -49, 66, 0, -81, -38, -85, -72]
  Compare 66 and 0
  Swap 66 and 0
  List after swap: [54, -49, 0, 66, -81, -38, -85, -72]
  Compare 66 and -81
  Swap 66 and -81
  List after swap: [54, -49, 0, -81, 66, -38, -85, -72]
  Compare 66 and -38
  Swap 66 and -38
  List after swap: [54, -49, 0, -81, -38, 66, -85, -72]
  Compare 66 and -85
  Swap 66 and -85
  List after swap: [54, -49, 0, -81, -38, -85, 66, -72]
  Compare 66 and -72
  Swap 66 and -72
  List after swap: [54, -49, 0, -81, -38, -85, -72, 66]

Pass 2:
  Compare 54 and -49
  Swap 54 and -49
  List after swap: [-49, 54, 0, -81, -38, -85, -72, 66]
  Compare 54 and 0
  Swap 54 and 0
  List after swap: [-49, 0, 54, -81, -38, -85, -72, 66]
  Compare 54 and -81
  Swap 54 and -81
  List after swap: [-49, 0, -81, 54, -38, -85, -72, 66]
  Compare 54 and -38
  Swap 54 and -38
  List after swap: [-49, 0, -81, -38, 54, -85, -72, 66]
  Compare 54 and -85
  Swap 54 and -85
  List after swap: [-49, 0, -81, -38, -85, 54, -72, 66]
  Compare 54 and -72
  Swap 54 and -72
  List after swap: [-49, 0, -81, -38, -85, -72, 54, 66]

Pass 3:
  Compare -49 and 0
  No swap needed
  Compare 0 and -81
  Swap 0 and -81
  List after swap: [-49, -81, 0, -38, -85, -72, 54, 66]
  Compare 0 and -38
  Swap 0 and -38
  List after swap: [-49, -81, -38, 0, -85, -72, 54, 66]
  Compare 0 and -85
  Swap 0 and -85
  List after swap: [-49, -81, -38, -85, 0, -72, 54, 66]
  Compare 0 and -72
  Swap 0 and -72
  List after swap: [-49, -81, -38, -85, -72, 0, 54, 66]

Pass 4:
  Compare -49 and -81
  Swap -49 and -81
  List after swap: [-81, -49, -38, -85, -72, 0, 54, 66]
  Compare -49 and -38
  No swap needed
  Compare -38 and -85
  Swap -38 and -85
  List after swap: [-81, -49, -85, -38, -72, 0, 54, 66]
  Compare -38 and -72
  Swap -38 and -72
  List after swap: [-81, -49, -85, -72, -38, 0, 54, 66]

Pass 5:
  Compare -81 and -49
  No swap needed
  Compare -49 and -85
  Swap -49 and -85
  List after swap: [-81, -85, -49, -72, -38, 0, 54, 66]
  Compare -49 and -72
  Swap -49 and -72
  List after swap: [-81, -85, -72, -49, -38, 0, 54, 66]

Pass 6:
  Compare -81 and -85
  Swap -81 and -85
  List after swap: [-85, -81, -72, -49, -38, 0, 54, 66]
  Compare -81 and -72
  No swap needed

Pass 7:
  Compare -85 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -81, -72, -49, -38, 0, 54, 66]
</think>

<response>-85, -81, -72, -49, -38, 0, 54, 66</response>


input: Arrange the numbers -39, 76, -76, -84 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-39, 76, -76, -84]

Pass 1:
  Compare -39 and 76
  No swap needed
  Compare 76 and -76
  Swap 76 and -76
  List after swap: [-39, -76, 76, -84]
  Compare 76 and -84
  Swap 76 and -84
  List after swap: [-39, -76, -84, 76]

Pass 2:
  Compare -39 and -76
  Swap -39 and -76
  List after swap: [-76, -39, -84, 76]
  Compare -39 and -84
  Swap -39 and -84
  List after swap: [-76, -84, -39, 76]

Pass 3:
  Compare -76 and -84
  Swap -76 and -84
  List after swap: [-84, -76, -39, 76]

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

Final sorted list: [-84, -76, -39, 76]
</think>

<response>-84, -76, -39, 76</response>


input: Demonstrate how bubble sort orders the integers -21, -31, 83, 1 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-21, -31, 83, 1]

Pass 1:
  Compare -21 and -31
  Swap -21 and -31
  List after swap: [-31, -21, 83, 1]
  Compare -21 and 83
  No swap needed
  Compare 83 and 1
  Swap 83 and 1
  List after swap: [-31, -21, 1, 83]

Pass 2:
  Compare -31 and -21
  No swap needed
  Compare -21 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -21, 1, 83]
</think>

<response>-31, -21, 1, 83</response>


input: Use the bubble sort technique to reorder 75, 61, -13, 83, -5, 93, 58, 37 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [75, 61, -13, 83, -5, 93, 58, 37]

Pass 1:
  Compare 75 and 61
  Swap 75 and 61
  List after swap: [61, 75, -13, 83, -5, 93, 58, 37]
  Compare 75 and -13
  Swap 75 and -13
  List after swap: [61, -13, 75, 83, -5, 93, 58, 37]
  Compare 75 and 83
  No swap needed
  Compare 83 and -5
  Swap 83 and -5
  List after swap: [61, -13, 75, -5, 83, 93, 58, 37]
  Compare 83 and 93
  No swap needed
  Compare 93 and 58
  Swap 93 and 58
  List after swap: [61, -13, 75, -5, 83, 58, 93, 37]
  Compare 93 and 37
  Swap 93 and 37
  List after swap: [61, -13, 75, -5, 83, 58, 37, 93]

Pass 2:
  Compare 61 and -13
  Swap 61 and -13
  List after swap: [-13, 61, 75, -5, 83, 58, 37, 93]
  Compare 61 and 75
  No swap needed
  Compare 75 and -5
  Swap 75 and -5
  List after swap: [-13, 61, -5, 75, 83, 58, 37, 93]
  Compare 75 and 83
  No swap needed
  Compare 83 and 58
  Swap 83 and 58
  List after swap: [-13, 61, -5, 75, 58, 83, 37, 93]
  Compare 83 and 37
  Swap 83 and 37
  List after swap: [-13, 61, -5, 75, 58, 37, 83, 93]

Pass 3:
  Compare -13 and 61
  No swap needed
  Compare 61 and -5
  Swap 61 and -5
  List after swap: [-13, -5, 61, 75, 58, 37, 83, 93]
  Compare 61 and 75
  No swap needed
  Compare 75 and 58
  Swap 75 and 58
  List after swap: [-13, -5, 61, 58, 75, 37, 83, 93]
  Compare 75 and 37
  Swap 75 and 37
  List after swap: [-13, -5, 61, 58, 37, 75, 83, 93]

Pass 4:
  Compare -13 and -5
  No swap needed
  Compare -5 and 61
  No swap needed
  Compare 61 and 58
  Swap 61 and 58
  List after swap: [-13, -5, 58, 61, 37, 75, 83, 93]
  Compare 61 and 37
  Swap 61 and 37
  List after swap: [-13, -5, 58, 37, 61, 75, 83, 93]

Pass 5:
  Compare -13 and -5
  No swap needed
  Compare -5 and 58
  No swap needed
  Compare 58 and 37
  Swap 58 and 37
  List after swap: [-13, -5, 37, 58, 61, 75, 83, 93]

Pass 6:
  Compare -13 and -5
  No swap needed
  Compare -5 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-13, -5, 37, 58, 61, 75, 83, 93]
</think>

<response>-13, -5, 37, 58, 61, 75, 83, 93</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -7, 70, -92, 97, 63, -57, 36, 16, 72.

output:
<think>
Initial list: [-7, 70, -92, 97, 63, -57, 36, 16, 72]

Pass 1:
  Compare -7 and 70
  No swap needed
  Compare 70 and -92
  Swap 70 and -92
  List after swap: [-7, -92, 70, 97, 63, -57, 36, 16, 72]
  Compare 70 and 97
  No swap needed
  Compare 97 and 63
  Swap 97 and 63
  List after swap: [-7, -92, 70, 63, 97, -57, 36, 16, 72]
  Compare 97 and -57
  Swap 97 and -57
  List after swap: [-7, -92, 70, 63, -57, 97, 36, 16, 72]
  Compare 97 and 36
  Swap 97 and 36
  List after swap: [-7, -92, 70, 63, -57, 36, 97, 16, 72]
  Compare 97 and 16
  Swap 97 and 16
  List after swap: [-7, -92, 70, 63, -57, 36, 16, 97, 72]
  Compare 97 and 72
  Swap 97 and 72
  List after swap: [-7, -92, 70, 63, -57, 36, 16, 72, 97]

Pass 2:
  Compare -7 and -92
  Swap -7 and -92
  List after swap: [-92, -7, 70, 63, -57, 36, 16, 72, 97]
  Compare -7 and 70
  No swap needed
  Compare 70 and 63
  Swap 70 and 63
  List after swap: [-92, -7, 63, 70, -57, 36, 16, 72, 97]
  Compare 70 and -57
  Swap 70 and -57
  List after swap: [-92, -7, 63, -57, 70, 36, 16, 72, 97]
  Compare 70 and 36
  Swap 70 and 36
  List after swap: [-92, -7, 63, -57, 36, 70, 16, 72, 97]
  Compare 70 and 16
  Swap 70 and 16
  List after swap: [-92, -7, 63, -57, 36, 16, 70, 72, 97]
  Compare 70 and 72
  No swap needed

Pass 3:
  Compare -92 and -7
  No swap needed
  Compare -7 and 63
  No swap needed
  Compare 63 and -57
  Swap 63 and -57
  List after swap: [-92, -7, -57, 63, 36, 16, 70, 72, 97]
  Compare 63 and 36
  Swap 63 and 36
  List after swap: [-92, -7, -57, 36, 63, 16, 70, 72, 97]
  Compare 63 and 16
  Swap 63 and 16
  List after swap: [-92, -7, -57, 36, 16, 63, 70, 72, 97]
  Compare 63 and 70
  No swap needed

Pass 4:
  Compare -92 and -7
  No swap needed
  Compare -7 and -57
  Swap -7 and -57
  List after swap: [-92, -57, -7, 36, 16, 63, 70, 72, 97]
  Compare -7 and 36
  No swap needed
  Compare 36 and 16
  Swap 36 and 16
  List after swap: [-92, -57, -7, 16, 36, 63, 70, 72, 97]
  Compare 36 and 63
  No swap needed

Pass 5:
  Compare -92 and -57
  No swap needed
  Compare -57 and -7
  No swap needed
  Compare -7 and 16
  No swap needed
  Compare 16 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -57, -7, 16, 36, 63, 70, 72, 97]
</think>

<response>-92, -57, -7, 16, 36, 63, 70, 72, 97</response>


input: Use the bubble sort technique to reorder -17, 68, -65 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-17, 68, -65]

Pass 1:
  Compare -17 and 68
  No swap needed
  Compare 68 and -65
  Swap 68 and -65
  List after swap: [-17, -65, 68]

Pass 2:
  Compare -17 and -65
  Swap -17 and -65
  List after swap: [-65, -17, 68]

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

Final sorted list: [-65, -17, 68]
</think>

<response>-65, -17, 68</response>


input: Sort these integers 38, -3 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [38, -3]

Pass 1:
  Compare 38 and -3
  Swap 38 and -3
  List after swap: [-3, 38]

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

Final sorted list: [-3, 38]
</think>

<response>-3, 38</response>


input: Execute bubble sort to sort -18, 83, 30, -57 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-18, 83, 30, -57]

Pass 1:
  Compare -18 and 83
  No swap needed
  Compare 83 and 30
  Swap 83 and 30
  List after swap: [-18, 30, 83, -57]
  Compare 83 and -57
  Swap 83 and -57
  List after swap: [-18, 30, -57, 83]

Pass 2:
  Compare -18 and 30
  No swap needed
  Compare 30 and -57
  Swap 30 and -57
  List after swap: [-18, -57, 30, 83]

Pass 3:
  Compare -18 and -57
  Swap -18 and -57
  List after swap: [-57, -18, 30, 83]

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

Final sorted list: [-57, -18, 30, 83]
</think>

<response>-57, -18, 30, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -17, 99, -29, -74, -81, 3, 81.

output:
<think>
Initial list: [-17, 99, -29, -74, -81, 3, 81]

Pass 1:
  Compare -17 and 99
  No swap needed
  Compare 99 and -29
  Swap 99 and -29
  List after swap: [-17, -29, 99, -74, -81, 3, 81]
  Compare 99 and -74
  Swap 99 and -74
  List after swap: [-17, -29, -74, 99, -81, 3, 81]
  Compare 99 and -81
  Swap 99 and -81
  List after swap: [-17, -29, -74, -81, 99, 3, 81]
  Compare 99 and 3
  Swap 99 and 3
  List after swap: [-17, -29, -74, -81, 3, 99, 81]
  Compare 99 and 81
  Swap 99 and 81
  List after swap: [-17, -29, -74, -81, 3, 81, 99]

Pass 2:
  Compare -17 and -29
  Swap -17 and -29
  List after swap: [-29, -17, -74, -81, 3, 81, 99]
  Compare -17 and -74
  Swap -17 and -74
  List after swap: [-29, -74, -17, -81, 3, 81, 99]
  Compare -17 and -81
  Swap -17 and -81
  List after swap: [-29, -74, -81, -17, 3, 81, 99]
  Compare -17 and 3
  No swap needed
  Compare 3 and 81
  No swap needed

Pass 3:
  Compare -29 and -74
  Swap -29 and -74
  List after swap: [-74, -29, -81, -17, 3, 81, 99]
  Compare -29 and -81
  Swap -29 and -81
  List after swap: [-74, -81, -29, -17, 3, 81, 99]
  Compare -29 and -17
  No swap needed
  Compare -17 and 3
  No swap needed

Pass 4:
  Compare -74 and -81
  Swap -74 and -81
  List after swap: [-81, -74, -29, -17, 3, 81, 99]
  Compare -74 and -29
  No swap needed
  Compare -29 and -17
  No swap needed

Pass 5:
  Compare -81 and -74
  No swap needed
  Compare -74 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -74, -29, -17, 3, 81, 99]
</think>

<response>-81, -74, -29, -17, 3, 81, 99</response>


input: Demonstrate how bubble sort orders the integers -47, 7 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-47, 7]

Pass 1:
  Compare -47 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, 7]
</think>

<response>-47, 7</response>


input: Arrange the numbers -57, 84, -88, -47, 6, 85 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-57, 84, -88, -47, 6, 85]

Pass 1:
  Compare -57 and 84
  No swap needed
  Compare 84 and -88
  Swap 84 and -88
  List after swap: [-57, -88, 84, -47, 6, 85]
  Compare 84 and -47
  Swap 84 and -47
  List after swap: [-57, -88, -47, 84, 6, 85]
  Compare 84 and 6
  Swap 84 and 6
  List after swap: [-57, -88, -47, 6, 84, 85]
  Compare 84 and 85
  No swap needed

Pass 2:
  Compare -57 and -88
  Swap -57 and -88
  List after swap: [-88, -57, -47, 6, 84, 85]
  Compare -57 and -47
  No swap needed
  Compare -47 and 6
  No swap needed
  Compare 6 and 84
  No swap needed

Pass 3:
  Compare -88 and -57
  No swap needed
  Compare -57 and -47
  No swap needed
  Compare -47 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -57, -47, 6, 84, 85]
</think>

<response>-88, -57, -47, 6, 84, 85</response>


input: Sort these integers 58, -62, 62, -94, 25, 82, -53, 21, -4 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [58, -62, 62, -94, 25, 82, -53, 21, -4]

Pass 1:
  Compare 58 and -62
  Swap 58 and -62
  List after swap: [-62, 58, 62, -94, 25, 82, -53, 21, -4]
  Compare 58 and 62
  No swap needed
  Compare 62 and -94
  Swap 62 and -94
  List after swap: [-62, 58, -94, 62, 25, 82, -53, 21, -4]
  Compare 62 and 25
  Swap 62 and 25
  List after swap: [-62, 58, -94, 25, 62, 82, -53, 21, -4]
  Compare 62 and 82
  No swap needed
  Compare 82 and -53
  Swap 82 and -53
  List after swap: [-62, 58, -94, 25, 62, -53, 82, 21, -4]
  Compare 82 and 21
  Swap 82 and 21
  List after swap: [-62, 58, -94, 25, 62, -53, 21, 82, -4]
  Compare 82 and -4
  Swap 82 and -4
  List after swap: [-62, 58, -94, 25, 62, -53, 21, -4, 82]

Pass 2:
  Compare -62 and 58
  No swap needed
  Compare 58 and -94
  Swap 58 and -94
  List after swap: [-62, -94, 58, 25, 62, -53, 21, -4, 82]
  Compare 58 and 25
  Swap 58 and 25
  List after swap: [-62, -94, 25, 58, 62, -53, 21, -4, 82]
  Compare 58 and 62
  No swap needed
  Compare 62 and -53
  Swap 62 and -53
  List after swap: [-62, -94, 25, 58, -53, 62, 21, -4, 82]
  Compare 62 and 21
  Swap 62 and 21
  List after swap: [-62, -94, 25, 58, -53, 21, 62, -4, 82]
  Compare 62 and -4
  Swap 62 and -4
  List after swap: [-62, -94, 25, 58, -53, 21, -4, 62, 82]

Pass 3:
  Compare -62 and -94
  Swap -62 and -94
  List after swap: [-94, -62, 25, 58, -53, 21, -4, 62, 82]
  Compare -62 and 25
  No swap needed
  Compare 25 and 58
  No swap needed
  Compare 58 and -53
  Swap 58 and -53
  List after swap: [-94, -62, 25, -53, 58, 21, -4, 62, 82]
  Compare 58 and 21
  Swap 58 and 21
  List after swap: [-94, -62, 25, -53, 21, 58, -4, 62, 82]
  Compare 58 and -4
  Swap 58 and -4
  List after swap: [-94, -62, 25, -53, 21, -4, 58, 62, 82]

Pass 4:
  Compare -94 and -62
  No swap needed
  Compare -62 and 25
  No swap needed
  Compare 25 and -53
  Swap 25 and -53
  List after swap: [-94, -62, -53, 25, 21, -4, 58, 62, 82]
  Compare 25 and 21
  Swap 25 and 21
  List after swap: [-94, -62, -53, 21, 25, -4, 58, 62, 82]
  Compare 25 and -4
  Swap 25 and -4
  List after swap: [-94, -62, -53, 21, -4, 25, 58, 62, 82]

Pass 5:
  Compare -94 and -62
  No swap needed
  Compare -62 and -53
  No swap needed
  Compare -53 and 21
  No swap needed
  Compare 21 and -4
  Swap 21 and -4
  List after swap: [-94, -62, -53, -4, 21, 25, 58, 62, 82]

Pass 6:
  Compare -94 and -62
  No swap needed
  Compare -62 and -53
  No swap needed
  Compare -53 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -62, -53, -4, 21, 25, 58, 62, 82]
</think>

<response>-94, -62, -53, -4, 21, 25, 58, 62, 82</response>


input: Sort these integers 67, 24, 27, 41, -63, -31, 63, 23, -17, -10 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [67, 24, 27, 41, -63, -31, 63, 23, -17, -10]

Pass 1:
  Compare 67 and 24
  Swap 67 and 24
  List after swap: [24, 67, 27, 41, -63, -31, 63, 23, -17, -10]
  Compare 67 and 27
  Swap 67 and 27
  List after swap: [24, 27, 67, 41, -63, -31, 63, 23, -17, -10]
  Compare 67 and 41
  Swap 67 and 41
  List after swap: [24, 27, 41, 67, -63, -31, 63, 23, -17, -10]
  Compare 67 and -63
  Swap 67 and -63
  List after swap: [24, 27, 41, -63, 67, -31, 63, 23, -17, -10]
  Compare 67 and -31
  Swap 67 and -31
  List after swap: [24, 27, 41, -63, -31, 67, 63, 23, -17, -10]
  Compare 67 and 63
  Swap 67 and 63
  List after swap: [24, 27, 41, -63, -31, 63, 67, 23, -17, -10]
  Compare 67 and 23
  Swap 67 and 23
  List after swap: [24, 27, 41, -63, -31, 63, 23, 67, -17, -10]
  Compare 67 and -17
  Swap 67 and -17
  List after swap: [24, 27, 41, -63, -31, 63, 23, -17, 67, -10]
  Compare 67 and -10
  Swap 67 and -10
  List after swap: [24, 27, 41, -63, -31, 63, 23, -17, -10, 67]

Pass 2:
  Compare 24 and 27
  No swap needed
  Compare 27 and 41
  No swap needed
  Compare 41 and -63
  Swap 41 and -63
  List after swap: [24, 27, -63, 41, -31, 63, 23, -17, -10, 67]
  Compare 41 and -31
  Swap 41 and -31
  List after swap: [24, 27, -63, -31, 41, 63, 23, -17, -10, 67]
  Compare 41 and 63
  No swap needed
  Compare 63 and 23
  Swap 63 and 23
  List after swap: [24, 27, -63, -31, 41, 23, 63, -17, -10, 67]
  Compare 63 and -17
  Swap 63 and -17
  List after swap: [24, 27, -63, -31, 41, 23, -17, 63, -10, 67]
  Compare 63 and -10
  Swap 63 and -10
  List after swap: [24, 27, -63, -31, 41, 23, -17, -10, 63, 67]

Pass 3:
  Compare 24 and 27
  No swap needed
  Compare 27 and -63
  Swap 27 and -63
  List after swap: [24, -63, 27, -31, 41, 23, -17, -10, 63, 67]
  Compare 27 and -31
  Swap 27 and -31
  List after swap: [24, -63, -31, 27, 41, 23, -17, -10, 63, 67]
  Compare 27 and 41
  No swap needed
  Compare 41 and 23
  Swap 41 and 23
  List after swap: [24, -63, -31, 27, 23, 41, -17, -10, 63, 67]
  Compare 41 and -17
  Swap 41 and -17
  List after swap: [24, -63, -31, 27, 23, -17, 41, -10, 63, 67]
  Compare 41 and -10
  Swap 41 and -10
  List after swap: [24, -63, -31, 27, 23, -17, -10, 41, 63, 67]

Pass 4:
  Compare 24 and -63
  Swap 24 and -63
  List after swap: [-63, 24, -31, 27, 23, -17, -10, 41, 63, 67]
  Compare 24 and -31
  Swap 24 and -31
  List after swap: [-63, -31, 24, 27, 23, -17, -10, 41, 63, 67]
  Compare 24 and 27
  No swap needed
  Compare 27 and 23
  Swap 27 and 23
  List after swap: [-63, -31, 24, 23, 27, -17, -10, 41, 63, 67]
  Compare 27 and -17
  Swap 27 and -17
  List after swap: [-63, -31, 24, 23, -17, 27, -10, 41, 63, 67]
  Compare 27 and -10
  Swap 27 and -10
  List after swap: [-63, -31, 24, 23, -17, -10, 27, 41, 63, 67]

Pass 5:
  Compare -63 and -31
  No swap needed
  Compare -31 and 24
  No swap needed
  Compare 24 and 23
  Swap 24 and 23
  List after swap: [-63, -31, 23, 24, -17, -10, 27, 41, 63, 67]
  Compare 24 and -17
  Swap 24 and -17
  List after swap: [-63, -31, 23, -17, 24, -10, 27, 41, 63, 67]
  Compare 24 and -10
  Swap 24 and -10
  List after swap: [-63, -31, 23, -17, -10, 24, 27, 41, 63, 67]

Pass 6:
  Compare -63 and -31
  No swap needed
  Compare -31 and 23
  No swap needed
  Compare 23 and -17
  Swap 23 and -17
  List after swap: [-63, -31, -17, 23, -10, 24, 27, 41, 63, 67]
  Compare 23 and -10
  Swap 23 and -10
  List after swap: [-63, -31, -17, -10, 23, 24, 27, 41, 63, 67]

Pass 7:
  Compare -63 and -31
  No swap needed
  Compare -31 and -17
  No swap needed
  Compare -17 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -31, -17, -10, 23, 24, 27, 41, 63, 67]
</think>

<response>-63, -31, -17, -10, 23, 24, 27, 41, 63, 67</response>


input: Sort the list -47, 97, 11, -27, -70 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-47, 97, 11, -27, -70]

Pass 1:
  Compare -47 and 97
  No swap needed
  Compare 97 and 11
  Swap 97 and 11
  List after swap: [-47, 11, 97, -27, -70]
  Compare 97 and -27
  Swap 97 and -27
  List after swap: [-47, 11, -27, 97, -70]
  Compare 97 and -70
  Swap 97 and -70
  List after swap: [-47, 11, -27, -70, 97]

Pass 2:
  Compare -47 and 11
  No swap needed
  Compare 11 and -27
  Swap 11 and -27
  List after swap: [-47, -27, 11, -70, 97]
  Compare 11 and -70
  Swap 11 and -70
  List after swap: [-47, -27, -70, 11, 97]

Pass 3:
  Compare -47 and -27
  No swap needed
  Compare -27 and -70
  Swap -27 and -70
  List after swap: [-47, -70, -27, 11, 97]

Pass 4:
  Compare -47 and -70
  Swap -47 and -70
  List after swap: [-70, -47, -27, 11, 97]

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

Final sorted list: [-70, -47, -27, 11, 97]
</think>

<response>-70, -47, -27, 11, 97</response>


input: Implement bubble sort on -13, 61, 31, 48, -14 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-13, 61, 31, 48, -14]

Pass 1:
  Compare -13 and 61
  No swap needed
  Compare 61 and 31
  Swap 61 and 31
  List after swap: [-13, 31, 61, 48, -14]
  Compare 61 and 48
  Swap 61 and 48
  List after swap: [-13, 31, 48, 61, -14]
  Compare 61 and -14
  Swap 61 and -14
  List after swap: [-13, 31, 48, -14, 61]

Pass 2:
  Compare -13 and 31
  No swap needed
  Compare 31 and 48
  No swap needed
  Compare 48 and -14
  Swap 48 and -14
  List after swap: [-13, 31, -14, 48, 61]

Pass 3:
  Compare -13 and 31
  No swap needed
  Compare 31 and -14
  Swap 31 and -14
  List after swap: [-13, -14, 31, 48, 61]

Pass 4:
  Compare -13 and -14
  Swap -13 and -14
  List after swap: [-14, -13, 31, 48, 61]

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

Final sorted list: [-14, -13, 31, 48, 61]
</think>

<response>-14, -13, 31, 48, 61</response>


input: Implement bubble sort on -57, -34, 72, 90, 82, 50, 33, 62, 53, -65 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-57, -34, 72, 90, 82, 50, 33, 62, 53, -65]

Pass 1:
  Compare -57 and -34
  No swap needed
  Compare -34 and 72
  No swap needed
  Compare 72 and 90
  No swap needed
  Compare 90 and 82
  Swap 90 and 82
  List after swap: [-57, -34, 72, 82, 90, 50, 33, 62, 53, -65]
  Compare 90 and 50
  Swap 90 and 50
  List after swap: [-57, -34, 72, 82, 50, 90, 33, 62, 53, -65]
  Compare 90 and 33
  Swap 90 and 33
  List after swap: [-57, -34, 72, 82, 50, 33, 90, 62, 53, -65]
  Compare 90 and 62
  Swap 90 and 62
  List after swap: [-57, -34, 72, 82, 50, 33, 62, 90, 53, -65]
  Compare 90 and 53
  Swap 90 and 53
  List after swap: [-57, -34, 72, 82, 50, 33, 62, 53, 90, -65]
  Compare 90 and -65
  Swap 90 and -65
  List after swap: [-57, -34, 72, 82, 50, 33, 62, 53, -65, 90]

Pass 2:
  Compare -57 and -34
  No swap needed
  Compare -34 and 72
  No swap needed
  Compare 72 and 82
  No swap needed
  Compare 82 and 50
  Swap 82 and 50
  List after swap: [-57, -34, 72, 50, 82, 33, 62, 53, -65, 90]
  Compare 82 and 33
  Swap 82 and 33
  List after swap: [-57, -34, 72, 50, 33, 82, 62, 53, -65, 90]
  Compare 82 and 62
  Swap 82 and 62
  List after swap: [-57, -34, 72, 50, 33, 62, 82, 53, -65, 90]
  Compare 82 and 53
  Swap 82 and 53
  List after swap: [-57, -34, 72, 50, 33, 62, 53, 82, -65, 90]
  Compare 82 and -65
  Swap 82 and -65
  List after swap: [-57, -34, 72, 50, 33, 62, 53, -65, 82, 90]

Pass 3:
  Compare -57 and -34
  No swap needed
  Compare -34 and 72
  No swap needed
  Compare 72 and 50
  Swap 72 and 50
  List after swap: [-57, -34, 50, 72, 33, 62, 53, -65, 82, 90]
  Compare 72 and 33
  Swap 72 and 33
  List after swap: [-57, -34, 50, 33, 72, 62, 53, -65, 82, 90]
  Compare 72 and 62
  Swap 72 and 62
  List after swap: [-57, -34, 50, 33, 62, 72, 53, -65, 82, 90]
  Compare 72 and 53
  Swap 72 and 53
  List after swap: [-57, -34, 50, 33, 62, 53, 72, -65, 82, 90]
  Compare 72 and -65
  Swap 72 and -65
  List after swap: [-57, -34, 50, 33, 62, 53, -65, 72, 82, 90]

Pass 4:
  Compare -57 and -34
  No swap needed
  Compare -34 and 50
  No swap needed
  Compare 50 and 33
  Swap 50 and 33
  List after swap: [-57, -34, 33, 50, 62, 53, -65, 72, 82, 90]
  Compare 50 and 62
  No swap needed
  Compare 62 and 53
  Swap 62 and 53
  List after swap: [-57, -34, 33, 50, 53, 62, -65, 72, 82, 90]
  Compare 62 and -65
  Swap 62 and -65
  List after swap: [-57, -34, 33, 50, 53, -65, 62, 72, 82, 90]

Pass 5:
  Compare -57 and -34
  No swap needed
  Compare -34 and 33
  No swap needed
  Compare 33 and 50
  No swap needed
  Compare 50 and 53
  No swap needed
  Compare 53 and -65
  Swap 53 and -65
  List after swap: [-57, -34, 33, 50, -65, 53, 62, 72, 82, 90]

Pass 6:
  Compare -57 and -34
  No swap needed
  Compare -34 and 33
  No swap needed
  Compare 33 and 50
  No swap needed
  Compare 50 and -65
  Swap 50 and -65
  List after swap: [-57, -34, 33, -65, 50, 53, 62, 72, 82, 90]

Pass 7:
  Compare -57 and -34
  No swap needed
  Compare -34 and 33
  No swap needed
  Compare 33 and -65
  Swap 33 and -65
  List after swap: [-57, -34, -65, 33, 50, 53, 62, 72, 82, 90]

Pass 8:
  Compare -57 and -34
  No swap needed
  Compare -34 and -65
  Swap -34 and -65
  List after swap: [-57, -65, -34, 33, 50, 53, 62, 72, 82, 90]

Pass 9:
  Compare -57 and -65
  Swap -57 and -65
  List after swap: [-65, -57, -34, 33, 50, 53, 62, 72, 82, 90]

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

Final sorted list: [-65, -57, -34, 33, 50, 53, 62, 72, 82, 90]
</think>

<response>-65, -57, -34, 33, 50, 53, 62, 72, 82, 90</response>


input: Implement bubble sort on -38, -22, 37, -86, -2 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-38, -22, 37, -86, -2]

Pass 1:
  Compare -38 and -22
  No swap needed
  Compare -22 and 37
  No swap needed
  Compare 37 and -86
  Swap 37 and -86
  List after swap: [-38, -22, -86, 37, -2]
  Compare 37 and -2
  Swap 37 and -2
  List after swap: [-38, -22, -86, -2, 37]

Pass 2:
  Compare -38 and -22
  No swap needed
  Compare -22 and -86
  Swap -22 and -86
  List after swap: [-38, -86, -22, -2, 37]
  Compare -22 and -2
  No swap needed

Pass 3:
  Compare -38 and -86
  Swap -38 and -86
  List after swap: [-86, -38, -22, -2, 37]
  Compare -38 and -22
  No swap needed

Pass 4:
  Compare -86 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -38, -22, -2, 37]
</think>

<response>-86, -38, -22, -2, 37</response>


input: Arrange the numbers -79, 61, -66, 99, -18, 89 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-79, 61, -66, 99, -18, 89]

Pass 1:
  Compare -79 and 61
  No swap needed
  Compare 61 and -66
  Swap 61 and -66
  List after swap: [-79, -66, 61, 99, -18, 89]
  Compare 61 and 99
  No swap needed
  Compare 99 and -18
  Swap 99 and -18
  List after swap: [-79, -66, 61, -18, 99, 89]
  Compare 99 and 89
  Swap 99 and 89
  List after swap: [-79, -66, 61, -18, 89, 99]

Pass 2:
  Compare -79 and -66
  No swap needed
  Compare -66 and 61
  No swap needed
  Compare 61 and -18
  Swap 61 and -18
  List after swap: [-79, -66, -18, 61, 89, 99]
  Compare 61 and 89
  No swap needed

Pass 3:
  Compare -79 and -66
  No swap needed
  Compare -66 and -18
  No swap needed
  Compare -18 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -66, -18, 61, 89, 99]
</think>

<response>-79, -66, -18, 61, 89, 99</response>


input: Sort these integers 95, 90, -33, -38 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [95, 90, -33, -38]

Pass 1:
  Compare 95 and 90
  Swap 95 and 90
  List after swap: [90, 95, -33, -38]
  Compare 95 and -33
  Swap 95 and -33
  List after swap: [90, -33, 95, -38]
  Compare 95 and -38
  Swap 95 and -38
  List after swap: [90, -33, -38, 95]

Pass 2:
  Compare 90 and -33
  Swap 90 and -33
  List after swap: [-33, 90, -38, 95]
  Compare 90 and -38
  Swap 90 and -38
  List after swap: [-33, -38, 90, 95]

Pass 3:
  Compare -33 and -38
  Swap -33 and -38
  List after swap: [-38, -33, 90, 95]

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

Final sorted list: [-38, -33, 90, 95]
</think>

<response>-38, -33, 90, 95</response>


input: Arrange the numbers 51, 98, -90 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [51, 98, -90]

Pass 1:
  Compare 51 and 98
  No swap needed
  Compare 98 and -90
  Swap 98 and -90
  List after swap: [51, -90, 98]

Pass 2:
  Compare 51 and -90
  Swap 51 and -90
  List after swap: [-90, 51, 98]

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

Final sorted list: [-90, 51, 98]
</think>

<response>-90, 51, 98</response>


input: Execute bubble sort to sort 30, -17, 42, 31, -35, 48, 57, 12, 36 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [30, -17, 42, 31, -35, 48, 57, 12, 36]

Pass 1:
  Compare 30 and -17
  Swap 30 and -17
  List after swap: [-17, 30, 42, 31, -35, 48, 57, 12, 36]
  Compare 30 and 42
  No swap needed
  Compare 42 and 31
  Swap 42 and 31
  List after swap: [-17, 30, 31, 42, -35, 48, 57, 12, 36]
  Compare 42 and -35
  Swap 42 and -35
  List after swap: [-17, 30, 31, -35, 42, 48, 57, 12, 36]
  Compare 42 and 48
  No swap needed
  Compare 48 and 57
  No swap needed
  Compare 57 and 12
  Swap 57 and 12
  List after swap: [-17, 30, 31, -35, 42, 48, 12, 57, 36]
  Compare 57 and 36
  Swap 57 and 36
  List after swap: [-17, 30, 31, -35, 42, 48, 12, 36, 57]

Pass 2:
  Compare -17 and 30
  No swap needed
  Compare 30 and 31
  No swap needed
  Compare 31 and -35
  Swap 31 and -35
  List after swap: [-17, 30, -35, 31, 42, 48, 12, 36, 57]
  Compare 31 and 42
  No swap needed
  Compare 42 and 48
  No swap needed
  Compare 48 and 12
  Swap 48 and 12
  List after swap: [-17, 30, -35, 31, 42, 12, 48, 36, 57]
  Compare 48 and 36
  Swap 48 and 36
  List after swap: [-17, 30, -35, 31, 42, 12, 36, 48, 57]

Pass 3:
  Compare -17 and 30
  No swap needed
  Compare 30 and -35
  Swap 30 and -35
  List after swap: [-17, -35, 30, 31, 42, 12, 36, 48, 57]
  Compare 30 and 31
  No swap needed
  Compare 31 and 42
  No swap needed
  Compare 42 and 12
  Swap 42 and 12
  List after swap: [-17, -35, 30, 31, 12, 42, 36, 48, 57]
  Compare 42 and 36
  Swap 42 and 36
  List after swap: [-17, -35, 30, 31, 12, 36, 42, 48, 57]

Pass 4:
  Compare -17 and -35
  Swap -17 and -35
  List after swap: [-35, -17, 30, 31, 12, 36, 42, 48, 57]
  Compare -17 and 30
  No swap needed
  Compare 30 and 31
  No swap needed
  Compare 31 and 12
  Swap 31 and 12
  List after swap: [-35, -17, 30, 12, 31, 36, 42, 48, 57]
  Compare 31 and 36
  No swap needed

Pass 5:
  Compare -35 and -17
  No swap needed
  Compare -17 and 30
  No swap needed
  Compare 30 and 12
  Swap 30 and 12
  List after swap: [-35, -17, 12, 30, 31, 36, 42, 48, 57]
  Compare 30 and 31
  No swap needed

Pass 6:
  Compare -35 and -17
  No swap needed
  Compare -17 and 12
  No swap needed
  Compare 12 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -17, 12, 30, 31, 36, 42, 48, 57]
</think>

<response>-35, -17, 12, 30, 31, 36, 42, 48, 57</response>


input: Using the bubble sort method, sort -96, -91, -61, -74 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-96, -91, -61, -74]

Pass 1:
  Compare -96 and -91
  No swap needed
  Compare -91 and -61
  No swap needed
  Compare -61 and -74
  Swap -61 and -74
  List after swap: [-96, -91, -74, -61]

Pass 2:
  Compare -96 and -91
  No swap needed
  Compare -91 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -91, -74, -61]
</think>

<response>-96, -91, -74, -61</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 64, 42, 21, -27.

output:
<think>
Initial list: [64, 42, 21, -27]

Pass 1:
  Compare 64 and 42
  Swap 64 and 42
  List after swap: [42, 64, 21, -27]
  Compare 64 and 21
  Swap 64 and 21
  List after swap: [42, 21, 64, -27]
  Compare 64 and -27
  Swap 64 and -27
  List after swap: [42, 21, -27, 64]

Pass 2:
  Compare 42 and 21
  Swap 42 and 21
  List after swap: [21, 42, -27, 64]
  Compare 42 and -27
  Swap 42 and -27
  List after swap: [21, -27, 42, 64]

Pass 3:
  Compare 21 and -27
  Swap 21 and -27
  List after swap: [-27, 21, 42, 64]

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

Final sorted list: [-27, 21, 42, 64]
</think>

<response>-27, 21, 42, 64</response>


input: Execute bubble sort to sort 19, -54, -57 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [19, -54, -57]

Pass 1:
  Compare 19 and -54
  Swap 19 and -54
  List after swap: [-54, 19, -57]
  Compare 19 and -57
  Swap 19 and -57
  List after swap: [-54, -57, 19]

Pass 2:
  Compare -54 and -57
  Swap -54 and -57
  List after swap: [-57, -54, 19]

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

Final sorted list: [-57, -54, 19]
</think>

<response>-57, -54, 19</response>


input: Arrange the numbers 98, 9, -46, 23, 22 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [98, 9, -46, 23, 22]

Pass 1:
  Compare 98 and 9
  Swap 98 and 9
  List after swap: [9, 98, -46, 23, 22]
  Compare 98 and -46
  Swap 98 and -46
  List after swap: [9, -46, 98, 23, 22]
  Compare 98 and 23
  Swap 98 and 23
  List after swap: [9, -46, 23, 98, 22]
  Compare 98 and 22
  Swap 98 and 22
  List after swap: [9, -46, 23, 22, 98]

Pass 2:
  Compare 9 and -46
  Swap 9 and -46
  List after swap: [-46, 9, 23, 22, 98]
  Compare 9 and 23
  No swap needed
  Compare 23 and 22
  Swap 23 and 22
  List after swap: [-46, 9, 22, 23, 98]

Pass 3:
  Compare -46 and 9
  No swap needed
  Compare 9 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, 9, 22, 23, 98]
</think>

<response>-46, 9, 22, 23, 98</response>


input: Implement bubble sort on -81, 81, -98, -66, 27, 29, -27, -9, 55 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-81, 81, -98, -66, 27, 29, -27, -9, 55]

Pass 1:
  Compare -81 and 81
  No swap needed
  Compare 81 and -98
  Swap 81 and -98
  List after swap: [-81, -98, 81, -66, 27, 29, -27, -9, 55]
  Compare 81 and -66
  Swap 81 and -66
  List after swap: [-81, -98, -66, 81, 27, 29, -27, -9, 55]
  Compare 81 and 27
  Swap 81 and 27
  List after swap: [-81, -98, -66, 27, 81, 29, -27, -9, 55]
  Compare 81 and 29
  Swap 81 and 29
  List after swap: [-81, -98, -66, 27, 29, 81, -27, -9, 55]
  Compare 81 and -27
  Swap 81 and -27
  List after swap: [-81, -98, -66, 27, 29, -27, 81, -9, 55]
  Compare 81 and -9
  Swap 81 and -9
  List after swap: [-81, -98, -66, 27, 29, -27, -9, 81, 55]
  Compare 81 and 55
  Swap 81 and 55
  List after swap: [-81, -98, -66, 27, 29, -27, -9, 55, 81]

Pass 2:
  Compare -81 and -98
  Swap -81 and -98
  List after swap: [-98, -81, -66, 27, 29, -27, -9, 55, 81]
  Compare -81 and -66
  No swap needed
  Compare -66 and 27
  No swap needed
  Compare 27 and 29
  No swap needed
  Compare 29 and -27
  Swap 29 and -27
  List after swap: [-98, -81, -66, 27, -27, 29, -9, 55, 81]
  Compare 29 and -9
  Swap 29 and -9
  List after swap: [-98, -81, -66, 27, -27, -9, 29, 55, 81]
  Compare 29 and 55
  No swap needed

Pass 3:
  Compare -98 and -81
  No swap needed
  Compare -81 and -66
  No swap needed
  Compare -66 and 27
  No swap needed
  Compare 27 and -27
  Swap 27 and -27
  List after swap: [-98, -81, -66, -27, 27, -9, 29, 55, 81]
  Compare 27 and -9
  Swap 27 and -9
  List after swap: [-98, -81, -66, -27, -9, 27, 29, 55, 81]
  Compare 27 and 29
  No swap needed

Pass 4:
  Compare -98 and -81
  No swap needed
  Compare -81 and -66
  No swap needed
  Compare -66 and -27
  No swap needed
  Compare -27 and -9
  No swap needed
  Compare -9 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -81, -66, -27, -9, 27, 29, 55, 81]
</think>

<response>-98, -81, -66, -27, -9, 27, 29, 55, 81</response>


input: Use the bubble sort technique to reorder 91, 40, 13, 96, 37, 16, -37, 61, 59 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [91, 40, 13, 96, 37, 16, -37, 61, 59]

Pass 1:
  Compare 91 and 40
  Swap 91 and 40
  List after swap: [40, 91, 13, 96, 37, 16, -37, 61, 59]
  Compare 91 and 13
  Swap 91 and 13
  List after swap: [40, 13, 91, 96, 37, 16, -37, 61, 59]
  Compare 91 and 96
  No swap needed
  Compare 96 and 37
  Swap 96 and 37
  List after swap: [40, 13, 91, 37, 96, 16, -37, 61, 59]
  Compare 96 and 16
  Swap 96 and 16
  List after swap: [40, 13, 91, 37, 16, 96, -37, 61, 59]
  Compare 96 and -37
  Swap 96 and -37
  List after swap: [40, 13, 91, 37, 16, -37, 96, 61, 59]
  Compare 96 and 61
  Swap 96 and 61
  List after swap: [40, 13, 91, 37, 16, -37, 61, 96, 59]
  Compare 96 and 59
  Swap 96 and 59
  List after swap: [40, 13, 91, 37, 16, -37, 61, 59, 96]

Pass 2:
  Compare 40 and 13
  Swap 40 and 13
  List after swap: [13, 40, 91, 37, 16, -37, 61, 59, 96]
  Compare 40 and 91
  No swap needed
  Compare 91 and 37
  Swap 91 and 37
  List after swap: [13, 40, 37, 91, 16, -37, 61, 59, 96]
  Compare 91 and 16
  Swap 91 and 16
  List after swap: [13, 40, 37, 16, 91, -37, 61, 59, 96]
  Compare 91 and -37
  Swap 91 and -37
  List after swap: [13, 40, 37, 16, -37, 91, 61, 59, 96]
  Compare 91 and 61
  Swap 91 and 61
  List after swap: [13, 40, 37, 16, -37, 61, 91, 59, 96]
  Compare 91 and 59
  Swap 91 and 59
  List after swap: [13, 40, 37, 16, -37, 61, 59, 91, 96]

Pass 3:
  Compare 13 and 40
  No swap needed
  Compare 40 and 37
  Swap 40 and 37
  List after swap: [13, 37, 40, 16, -37, 61, 59, 91, 96]
  Compare 40 and 16
  Swap 40 and 16
  List after swap: [13, 37, 16, 40, -37, 61, 59, 91, 96]
  Compare 40 and -37
  Swap 40 and -37
  List after swap: [13, 37, 16, -37, 40, 61, 59, 91, 96]
  Compare 40 and 61
  No swap needed
  Compare 61 and 59
  Swap 61 and 59
  List after swap: [13, 37, 16, -37, 40, 59, 61, 91, 96]

Pass 4:
  Compare 13 and 37
  No swap needed
  Compare 37 and 16
  Swap 37 and 16
  List after swap: [13, 16, 37, -37, 40, 59, 61, 91, 96]
  Compare 37 and -37
  Swap 37 and -37
  List after swap: [13, 16, -37, 37, 40, 59, 61, 91, 96]
  Compare 37 and 40
  No swap needed
  Compare 40 and 59
  No swap needed

Pass 5:
  Compare 13 and 16
  No swap needed
  Compare 16 and -37
  Swap 16 and -37
  List after swap: [13, -37, 16, 37, 40, 59, 61, 91, 96]
  Compare 16 and 37
  No swap needed
  Compare 37 and 40
  No swap needed

Pass 6:
  Compare 13 and -37
  Swap 13 and -37
  List after swap: [-37, 13, 16, 37, 40, 59, 61, 91, 96]
  Compare 13 and 16
  No swap needed
  Compare 16 and 37
  No swap needed

Pass 7:
  Compare -37 and 13
  No swap needed
  Compare 13 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, 13, 16, 37, 40, 59, 61, 91, 96]
</think>

<response>-37, 13, 16, 37, 40, 59, 61, 91, 96</response>


input: Use the bubble sort technique to reorder -79, 9, -33, -67, 44 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-79, 9, -33, -67, 44]

Pass 1:
  Compare -79 and 9
  No swap needed
  Compare 9 and -33
  Swap 9 and -33
  List after swap: [-79, -33, 9, -67, 44]
  Compare 9 and -67
  Swap 9 and -67
  List after swap: [-79, -33, -67, 9, 44]
  Compare 9 and 44
  No swap needed

Pass 2:
  Compare -79 and -33
  No swap needed
  Compare -33 and -67
  Swap -33 and -67
  List after swap: [-79, -67, -33, 9, 44]
  Compare -33 and 9
  No swap needed

Pass 3:
  Compare -79 and -67
  No swap needed
  Compare -67 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -67, -33, 9, 44]
</think>

<response>-79, -67, -33, 9, 44</response>


input: Carry out the bubble sort algorithm on -75, -31 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-75, -31]

Pass 1:
  Compare -75 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -31]
</think>

<response>-75, -31</response>


input: Execute bubble sort to sort -59, -14, 69, -95, 71, -24, 16, -89 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-59, -14, 69, -95, 71, -24, 16, -89]

Pass 1:
  Compare -59 and -14
  No swap needed
  Compare -14 and 69
  No swap needed
  Compare 69 and -95
  Swap 69 and -95
  List after swap: [-59, -14, -95, 69, 71, -24, 16, -89]
  Compare 69 and 71
  No swap needed
  Compare 71 and -24
  Swap 71 and -24
  List after swap: [-59, -14, -95, 69, -24, 71, 16, -89]
  Compare 71 and 16
  Swap 71 and 16
  List after swap: [-59, -14, -95, 69, -24, 16, 71, -89]
  Compare 71 and -89
  Swap 71 and -89
  List after swap: [-59, -14, -95, 69, -24, 16, -89, 71]

Pass 2:
  Compare -59 and -14
  No swap needed
  Compare -14 and -95
  Swap -14 and -95
  List after swap: [-59, -95, -14, 69, -24, 16, -89, 71]
  Compare -14 and 69
  No swap needed
  Compare 69 and -24
  Swap 69 and -24
  List after swap: [-59, -95, -14, -24, 69, 16, -89, 71]
  Compare 69 and 16
  Swap 69 and 16
  List after swap: [-59, -95, -14, -24, 16, 69, -89, 71]
  Compare 69 and -89
  Swap 69 and -89
  List after swap: [-59, -95, -14, -24, 16, -89, 69, 71]

Pass 3:
  Compare -59 and -95
  Swap -59 and -95
  List after swap: [-95, -59, -14, -24, 16, -89, 69, 71]
  Compare -59 and -14
  No swap needed
  Compare -14 and -24
  Swap -14 and -24
  List after swap: [-95, -59, -24, -14, 16, -89, 69, 71]
  Compare -14 and 16
  No swap needed
  Compare 16 and -89
  Swap 16 and -89
  List after swap: [-95, -59, -24, -14, -89, 16, 69, 71]

Pass 4:
  Compare -95 and -59
  No swap needed
  Compare -59 and -24
  No swap needed
  Compare -24 and -14
  No swap needed
  Compare -14 and -89
  Swap -14 and -89
  List after swap: [-95, -59, -24, -89, -14, 16, 69, 71]

Pass 5:
  Compare -95 and -59
  No swap needed
  Compare -59 and -24
  No swap needed
  Compare -24 and -89
  Swap -24 and -89
  List after swap: [-95, -59, -89, -24, -14, 16, 69, 71]

Pass 6:
  Compare -95 and -59
  No swap needed
  Compare -59 and -89
  Swap -59 and -89
  List after swap: [-95, -89, -59, -24, -14, 16, 69, 71]

Pass 7:
  Compare -95 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -89, -59, -24, -14, 16, 69, 71]
</think>

<response>-95, -89, -59, -24, -14, 16, 69, 71</response>


input: Carry out the bubble sort algorithm on 23, -9, 45 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [23, -9, 45]

Pass 1:
  Compare 23 and -9
  Swap 23 and -9
  List after swap: [-9, 23, 45]
  Compare 23 and 45
  No swap needed

Pass 2:
  Compare -9 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-9, 23, 45]
</think>

<response>-9, 23, 45</response>


input: Execute bubble sort to sort 48, 67, 18, -56, 78, 26, 83, -49 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [48, 67, 18, -56, 78, 26, 83, -49]

Pass 1:
  Compare 48 and 67
  No swap needed
  Compare 67 and 18
  Swap 67 and 18
  List after swap: [48, 18, 67, -56, 78, 26, 83, -49]
  Compare 67 and -56
  Swap 67 and -56
  List after swap: [48, 18, -56, 67, 78, 26, 83, -49]
  Compare 67 and 78
  No swap needed
  Compare 78 and 26
  Swap 78 and 26
  List after swap: [48, 18, -56, 67, 26, 78, 83, -49]
  Compare 78 and 83
  No swap needed
  Compare 83 and -49
  Swap 83 and -49
  List after swap: [48, 18, -56, 67, 26, 78, -49, 83]

Pass 2:
  Compare 48 and 18
  Swap 48 and 18
  List after swap: [18, 48, -56, 67, 26, 78, -49, 83]
  Compare 48 and -56
  Swap 48 and -56
  List after swap: [18, -56, 48, 67, 26, 78, -49, 83]
  Compare 48 and 67
  No swap needed
  Compare 67 and 26
  Swap 67 and 26
  List after swap: [18, -56, 48, 26, 67, 78, -49, 83]
  Compare 67 and 78
  No swap needed
  Compare 78 and -49
  Swap 78 and -49
  List after swap: [18, -56, 48, 26, 67, -49, 78, 83]

Pass 3:
  Compare 18 and -56
  Swap 18 and -56
  List after swap: [-56, 18, 48, 26, 67, -49, 78, 83]
  Compare 18 and 48
  No swap needed
  Compare 48 and 26
  Swap 48 and 26
  List after swap: [-56, 18, 26, 48, 67, -49, 78, 83]
  Compare 48 and 67
  No swap needed
  Compare 67 and -49
  Swap 67 and -49
  List after swap: [-56, 18, 26, 48, -49, 67, 78, 83]

Pass 4:
  Compare -56 and 18
  No swap needed
  Compare 18 and 26
  No swap needed
  Compare 26 and 48
  No swap needed
  Compare 48 and -49
  Swap 48 and -49
  List after swap: [-56, 18, 26, -49, 48, 67, 78, 83]

Pass 5:
  Compare -56 and 18
  No swap needed
  Compare 18 and 26
  No swap needed
  Compare 26 and -49
  Swap 26 and -49
  List after swap: [-56, 18, -49, 26, 48, 67, 78, 83]

Pass 6:
  Compare -56 and 18
  No swap needed
  Compare 18 and -49
  Swap 18 and -49
  List after swap: [-56, -49, 18, 26, 48, 67, 78, 83]

Pass 7:
  Compare -56 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -49, 18, 26, 48, 67, 78, 83]
</think>

<response>-56, -49, 18, 26, 48, 67, 78, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 5, 1, 60, 75, 31, -51, 93, 11, -28.

output:
<think>
Initial list: [5, 1, 60, 75, 31, -51, 93, 11, -28]

Pass 1:
  Compare 5 and 1
  Swap 5 and 1
  List after swap: [1, 5, 60, 75, 31, -51, 93, 11, -28]
  Compare 5 and 60
  No swap needed
  Compare 60 and 75
  No swap needed
  Compare 75 and 31
  Swap 75 and 31
  List after swap: [1, 5, 60, 31, 75, -51, 93, 11, -28]
  Compare 75 and -51
  Swap 75 and -51
  List after swap: [1, 5, 60, 31, -51, 75, 93, 11, -28]
  Compare 75 and 93
  No swap needed
  Compare 93 and 11
  Swap 93 and 11
  List after swap: [1, 5, 60, 31, -51, 75, 11, 93, -28]
  Compare 93 and -28
  Swap 93 and -28
  List after swap: [1, 5, 60, 31, -51, 75, 11, -28, 93]

Pass 2:
  Compare 1 and 5
  No swap needed
  Compare 5 and 60
  No swap needed
  Compare 60 and 31
  Swap 60 and 31
  List after swap: [1, 5, 31, 60, -51, 75, 11, -28, 93]
  Compare 60 and -51
  Swap 60 and -51
  List after swap: [1, 5, 31, -51, 60, 75, 11, -28, 93]
  Compare 60 and 75
  No swap needed
  Compare 75 and 11
  Swap 75 and 11
  List after swap: [1, 5, 31, -51, 60, 11, 75, -28, 93]
  Compare 75 and -28
  Swap 75 and -28
  List after swap: [1, 5, 31, -51, 60, 11, -28, 75, 93]

Pass 3:
  Compare 1 and 5
  No swap needed
  Compare 5 and 31
  No swap needed
  Compare 31 and -51
  Swap 31 and -51
  List after swap: [1, 5, -51, 31, 60, 11, -28, 75, 93]
  Compare 31 and 60
  No swap needed
  Compare 60 and 11
  Swap 60 and 11
  List after swap: [1, 5, -51, 31, 11, 60, -28, 75, 93]
  Compare 60 and -28
  Swap 60 and -28
  List after swap: [1, 5, -51, 31, 11, -28, 60, 75, 93]

Pass 4:
  Compare 1 and 5
  No swap needed
  Compare 5 and -51
  Swap 5 and -51
  List after swap: [1, -51, 5, 31, 11, -28, 60, 75, 93]
  Compare 5 and 31
  No swap needed
  Compare 31 and 11
  Swap 31 and 11
  List after swap: [1, -51, 5, 11, 31, -28, 60, 75, 93]
  Compare 31 and -28
  Swap 31 and -28
  List after swap: [1, -51, 5, 11, -28, 31, 60, 75, 93]

Pass 5:
  Compare 1 and -51
  Swap 1 and -51
  List after swap: [-51, 1, 5, 11, -28, 31, 60, 75, 93]
  Compare 1 and 5
  No swap needed
  Compare 5 and 11
  No swap needed
  Compare 11 and -28
  Swap 11 and -28
  List after swap: [-51, 1, 5, -28, 11, 31, 60, 75, 93]

Pass 6:
  Compare -51 and 1
  No swap needed
  Compare 1 and 5
  No swap needed
  Compare 5 and -28
  Swap 5 and -28
  List after swap: [-51, 1, -28, 5, 11, 31, 60, 75, 93]

Pass 7:
  Compare -51 and 1
  No swap needed
  Compare 1 and -28
  Swap 1 and -28
  List after swap: [-51, -28, 1, 5, 11, 31, 60, 75, 93]

Pass 8:
  Compare -51 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -28, 1, 5, 11, 31, 60, 75, 93]
</think>

<response>-51, -28, 1, 5, 11, 31, 60, 75, 93</response>


input: Use the bubble sort technique to reorder -84, -45 into ascending order, and write down each step of the procedure.

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

Pass 1:
  Compare -84 and -45
  No swap needed
  No swaps in this pass, list is sorted.

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

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


input: Using the bubble sort method, sort 4, 50 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [4, 50]

Pass 1:
  Compare 4 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [4, 50]
</think>

<response>4, 50</response>


input: Use the bubble sort technique to reorder -24, 21, -19, 74, 45, -23 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-24, 21, -19, 74, 45, -23]

Pass 1:
  Compare -24 and 21
  No swap needed
  Compare 21 and -19
  Swap 21 and -19
  List after swap: [-24, -19, 21, 74, 45, -23]
  Compare 21 and 74
  No swap needed
  Compare 74 and 45
  Swap 74 and 45
  List after swap: [-24, -19, 21, 45, 74, -23]
  Compare 74 and -23
  Swap 74 and -23
  List after swap: [-24, -19, 21, 45, -23, 74]

Pass 2:
  Compare -24 and -19
  No swap needed
  Compare -19 and 21
  No swap needed
  Compare 21 and 45
  No swap needed
  Compare 45 and -23
  Swap 45 and -23
  List after swap: [-24, -19, 21, -23, 45, 74]

Pass 3:
  Compare -24 and -19
  No swap needed
  Compare -19 and 21
  No swap needed
  Compare 21 and -23
  Swap 21 and -23
  List after swap: [-24, -19, -23, 21, 45, 74]

Pass 4:
  Compare -24 and -19
  No swap needed
  Compare -19 and -23
  Swap -19 and -23
  List after swap: [-24, -23, -19, 21, 45, 74]

Pass 5:
  Compare -24 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, -23, -19, 21, 45, 74]
</think>

<response>-24, -23, -19, 21, 45, 74</response>


input: Using the bubble sort method, sort 33, -31, 58 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [33, -31, 58]

Pass 1:
  Compare 33 and -31
  Swap 33 and -31
  List after swap: [-31, 33, 58]
  Compare 33 and 58
  No swap needed

Pass 2:
  Compare -31 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, 33, 58]
</think>

<response>-31, 33, 58</response>


input: Sort the list -79, -62, -8, 76, -27 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-79, -62, -8, 76, -27]

Pass 1:
  Compare -79 and -62
  No swap needed
  Compare -62 and -8
  No swap needed
  Compare -8 and 76
  No swap needed
  Compare 76 and -27
  Swap 76 and -27
  List after swap: [-79, -62, -8, -27, 76]

Pass 2:
  Compare -79 and -62
  No swap needed
  Compare -62 and -8
  No swap needed
  Compare -8 and -27
  Swap -8 and -27
  List after swap: [-79, -62, -27, -8, 76]

Pass 3:
  Compare -79 and -62
  No swap needed
  Compare -62 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -62, -27, -8, 76]
</think>

<response>-79, -62, -27, -8, 76</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -82, -50, 15, 82, -78, -38, 4, 58, -60, -2.

output:
<think>
Initial list: [-82, -50, 15, 82, -78, -38, 4, 58, -60, -2]

Pass 1:
  Compare -82 and -50
  No swap needed
  Compare -50 and 15
  No swap needed
  Compare 15 and 82
  No swap needed
  Compare 82 and -78
  Swap 82 and -78
  List after swap: [-82, -50, 15, -78, 82, -38, 4, 58, -60, -2]
  Compare 82 and -38
  Swap 82 and -38
  List after swap: [-82, -50, 15, -78, -38, 82, 4, 58, -60, -2]
  Compare 82 and 4
  Swap 82 and 4
  List after swap: [-82, -50, 15, -78, -38, 4, 82, 58, -60, -2]
  Compare 82 and 58
  Swap 82 and 58
  List after swap: [-82, -50, 15, -78, -38, 4, 58, 82, -60, -2]
  Compare 82 and -60
  Swap 82 and -60
  List after swap: [-82, -50, 15, -78, -38, 4, 58, -60, 82, -2]
  Compare 82 and -2
  Swap 82 and -2
  List after swap: [-82, -50, 15, -78, -38, 4, 58, -60, -2, 82]

Pass 2:
  Compare -82 and -50
  No swap needed
  Compare -50 and 15
  No swap needed
  Compare 15 and -78
  Swap 15 and -78
  List after swap: [-82, -50, -78, 15, -38, 4, 58, -60, -2, 82]
  Compare 15 and -38
  Swap 15 and -38
  List after swap: [-82, -50, -78, -38, 15, 4, 58, -60, -2, 82]
  Compare 15 and 4
  Swap 15 and 4
  List after swap: [-82, -50, -78, -38, 4, 15, 58, -60, -2, 82]
  Compare 15 and 58
  No swap needed
  Compare 58 and -60
  Swap 58 and -60
  List after swap: [-82, -50, -78, -38, 4, 15, -60, 58, -2, 82]
  Compare 58 and -2
  Swap 58 and -2
  List after swap: [-82, -50, -78, -38, 4, 15, -60, -2, 58, 82]

Pass 3:
  Compare -82 and -50
  No swap needed
  Compare -50 and -78
  Swap -50 and -78
  List after swap: [-82, -78, -50, -38, 4, 15, -60, -2, 58, 82]
  Compare -50 and -38
  No swap needed
  Compare -38 and 4
  No swap needed
  Compare 4 and 15
  No swap needed
  Compare 15 and -60
  Swap 15 and -60
  List after swap: [-82, -78, -50, -38, 4, -60, 15, -2, 58, 82]
  Compare 15 and -2
  Swap 15 and -2
  List after swap: [-82, -78, -50, -38, 4, -60, -2, 15, 58, 82]

Pass 4:
  Compare -82 and -78
  No swap needed
  Compare -78 and -50
  No swap needed
  Compare -50 and -38
  No swap needed
  Compare -38 and 4
  No swap needed
  Compare 4 and -60
  Swap 4 and -60
  List after swap: [-82, -78, -50, -38, -60, 4, -2, 15, 58, 82]
  Compare 4 and -2
  Swap 4 and -2
  List after swap: [-82, -78, -50, -38, -60, -2, 4, 15, 58, 82]

Pass 5:
  Compare -82 and -78
  No swap needed
  Compare -78 and -50
  No swap needed
  Compare -50 and -38
  No swap needed
  Compare -38 and -60
  Swap -38 and -60
  List after swap: [-82, -78, -50, -60, -38, -2, 4, 15, 58, 82]
  Compare -38 and -2
  No swap needed

Pass 6:
  Compare -82 and -78
  No swap needed
  Compare -78 and -50
  No swap needed
  Compare -50 and -60
  Swap -50 and -60
  List after swap: [-82, -78, -60, -50, -38, -2, 4, 15, 58, 82]
  Compare -50 and -38
  No swap needed

Pass 7:
  Compare -82 and -78
  No swap needed
  Compare -78 and -60
  No swap needed
  Compare -60 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -78, -60, -50, -38, -2, 4, 15, 58, 82]
</think>

<response>-82, -78, -60, -50, -38, -2, 4, 15, 58, 82</response>


input: Demonstrate how bubble sort orders the integers 0, 41, -20 in ascending sequence, showing all steps.

output:
<think>
Initial list: [0, 41, -20]

Pass 1:
  Compare 0 and 41
  No swap needed
  Compare 41 and -20
  Swap 41 and -20
  List after swap: [0, -20, 41]

Pass 2:
  Compare 0 and -20
  Swap 0 and -20
  List after swap: [-20, 0, 41]

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

Final sorted list: [-20, 0, 41]
</think>

<response>-20, 0, 41</response>


input: Use the bubble sort technique to reorder 38, 68, 56, 79, 6, 36, -51 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [38, 68, 56, 79, 6, 36, -51]

Pass 1:
  Compare 38 and 68
  No swap needed
  Compare 68 and 56
  Swap 68 and 56
  List after swap: [38, 56, 68, 79, 6, 36, -51]
  Compare 68 and 79
  No swap needed
  Compare 79 and 6
  Swap 79 and 6
  List after swap: [38, 56, 68, 6, 79, 36, -51]
  Compare 79 and 36
  Swap 79 and 36
  List after swap: [38, 56, 68, 6, 36, 79, -51]
  Compare 79 and -51
  Swap 79 and -51
  List after swap: [38, 56, 68, 6, 36, -51, 79]

Pass 2:
  Compare 38 and 56
  No swap needed
  Compare 56 and 68
  No swap needed
  Compare 68 and 6
  Swap 68 and 6
  List after swap: [38, 56, 6, 68, 36, -51, 79]
  Compare 68 and 36
  Swap 68 and 36
  List after swap: [38, 56, 6, 36, 68, -51, 79]
  Compare 68 and -51
  Swap 68 and -51
  List after swap: [38, 56, 6, 36, -51, 68, 79]

Pass 3:
  Compare 38 and 56
  No swap needed
  Compare 56 and 6
  Swap 56 and 6
  List after swap: [38, 6, 56, 36, -51, 68, 79]
  Compare 56 and 36
  Swap 56 and 36
  List after swap: [38, 6, 36, 56, -51, 68, 79]
  Compare 56 and -51
  Swap 56 and -51
  List after swap: [38, 6, 36, -51, 56, 68, 79]

Pass 4:
  Compare 38 and 6
  Swap 38 and 6
  List after swap: [6, 38, 36, -51, 56, 68, 79]
  Compare 38 and 36
  Swap 38 and 36
  List after swap: [6, 36, 38, -51, 56, 68, 79]
  Compare 38 and -51
  Swap 38 and -51
  List after swap: [6, 36, -51, 38, 56, 68, 79]

Pass 5:
  Compare 6 and 36
  No swap needed
  Compare 36 and -51
  Swap 36 and -51
  List after swap: [6, -51, 36, 38, 56, 68, 79]

Pass 6:
  Compare 6 and -51
  Swap 6 and -51
  List after swap: [-51, 6, 36, 38, 56, 68, 79]

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

Final sorted list: [-51, 6, 36, 38, 56, 68, 79]
</think>

<response>-51, 6, 36, 38, 56, 68, 79</response>


input: Use the bubble sort technique to reorder 72, -33, -74, -88, -32, 65, 75, 58, -100, 22 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [72, -33, -74, -88, -32, 65, 75, 58, -100, 22]

Pass 1:
  Compare 72 and -33
  Swap 72 and -33
  List after swap: [-33, 72, -74, -88, -32, 65, 75, 58, -100, 22]
  Compare 72 and -74
  Swap 72 and -74
  List after swap: [-33, -74, 72, -88, -32, 65, 75, 58, -100, 22]
  Compare 72 and -88
  Swap 72 and -88
  List after swap: [-33, -74, -88, 72, -32, 65, 75, 58, -100, 22]
  Compare 72 and -32
  Swap 72 and -32
  List after swap: [-33, -74, -88, -32, 72, 65, 75, 58, -100, 22]
  Compare 72 and 65
  Swap 72 and 65
  List after swap: [-33, -74, -88, -32, 65, 72, 75, 58, -100, 22]
  Compare 72 and 75
  No swap needed
  Compare 75 and 58
  Swap 75 and 58
  List after swap: [-33, -74, -88, -32, 65, 72, 58, 75, -100, 22]
  Compare 75 and -100
  Swap 75 and -100
  List after swap: [-33, -74, -88, -32, 65, 72, 58, -100, 75, 22]
  Compare 75 and 22
  Swap 75 and 22
  List after swap: [-33, -74, -88, -32, 65, 72, 58, -100, 22, 75]

Pass 2:
  Compare -33 and -74
  Swap -33 and -74
  List after swap: [-74, -33, -88, -32, 65, 72, 58, -100, 22, 75]
  Compare -33 and -88
  Swap -33 and -88
  List after swap: [-74, -88, -33, -32, 65, 72, 58, -100, 22, 75]
  Compare -33 and -32
  No swap needed
  Compare -32 and 65
  No swap needed
  Compare 65 and 72
  No swap needed
  Compare 72 and 58
  Swap 72 and 58
  List after swap: [-74, -88, -33, -32, 65, 58, 72, -100, 22, 75]
  Compare 72 and -100
  Swap 72 and -100
  List after swap: [-74, -88, -33, -32, 65, 58, -100, 72, 22, 75]
  Compare 72 and 22
  Swap 72 and 22
  List after swap: [-74, -88, -33, -32, 65, 58, -100, 22, 72, 75]

Pass 3:
  Compare -74 and -88
  Swap -74 and -88
  List after swap: [-88, -74, -33, -32, 65, 58, -100, 22, 72, 75]
  Compare -74 and -33
  No swap needed
  Compare -33 and -32
  No swap needed
  Compare -32 and 65
  No swap needed
  Compare 65 and 58
  Swap 65 and 58
  List after swap: [-88, -74, -33, -32, 58, 65, -100, 22, 72, 75]
  Compare 65 and -100
  Swap 65 and -100
  List after swap: [-88, -74, -33, -32, 58, -100, 65, 22, 72, 75]
  Compare 65 and 22
  Swap 65 and 22
  List after swap: [-88, -74, -33, -32, 58, -100, 22, 65, 72, 75]

Pass 4:
  Compare -88 and -74
  No swap needed
  Compare -74 and -33
  No swap needed
  Compare -33 and -32
  No swap needed
  Compare -32 and 58
  No swap needed
  Compare 58 and -100
  Swap 58 and -100
  List after swap: [-88, -74, -33, -32, -100, 58, 22, 65, 72, 75]
  Compare 58 and 22
  Swap 58 and 22
  List after swap: [-88, -74, -33, -32, -100, 22, 58, 65, 72, 75]

Pass 5:
  Compare -88 and -74
  No swap needed
  Compare -74 and -33
  No swap needed
  Compare -33 and -32
  No swap needed
  Compare -32 and -100
  Swap -32 and -100
  List after swap: [-88, -74, -33, -100, -32, 22, 58, 65, 72, 75]
  Compare -32 and 22
  No swap needed

Pass 6:
  Compare -88 and -74
  No swap needed
  Compare -74 and -33
  No swap needed
  Compare -33 and -100
  Swap -33 and -100
  List after swap: [-88, -74, -100, -33, -32, 22, 58, 65, 72, 75]
  Compare -33 and -32
  No swap needed

Pass 7:
  Compare -88 and -74
  No swap needed
  Compare -74 and -100
  Swap -74 and -100
  List after swap: [-88, -100, -74, -33, -32, 22, 58, 65, 72, 75]
  Compare -74 and -33
  No swap needed

Pass 8:
  Compare -88 and -100
  Swap -88 and -100
  List after swap: [-100, -88, -74, -33, -32, 22, 58, 65, 72, 75]
  Compare -88 and -74
  No swap needed

Pass 9:
  Compare -100 and -88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -88, -74, -33, -32, 22, 58, 65, 72, 75]
</think>

<response>-100, -88, -74, -33, -32, 22, 58, 65, 72, 75</response>


input: Arrange the numbers -62, -95, -1, -10, -84, -97, 83, -79, -60 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-62, -95, -1, -10, -84, -97, 83, -79, -60]

Pass 1:
  Compare -62 and -95
  Swap -62 and -95
  List after swap: [-95, -62, -1, -10, -84, -97, 83, -79, -60]
  Compare -62 and -1
  No swap needed
  Compare -1 and -10
  Swap -1 and -10
  List after swap: [-95, -62, -10, -1, -84, -97, 83, -79, -60]
  Compare -1 and -84
  Swap -1 and -84
  List after swap: [-95, -62, -10, -84, -1, -97, 83, -79, -60]
  Compare -1 and -97
  Swap -1 and -97
  List after swap: [-95, -62, -10, -84, -97, -1, 83, -79, -60]
  Compare -1 and 83
  No swap needed
  Compare 83 and -79
  Swap 83 and -79
  List after swap: [-95, -62, -10, -84, -97, -1, -79, 83, -60]
  Compare 83 and -60
  Swap 83 and -60
  List after swap: [-95, -62, -10, -84, -97, -1, -79, -60, 83]

Pass 2:
  Compare -95 and -62
  No swap needed
  Compare -62 and -10
  No swap needed
  Compare -10 and -84
  Swap -10 and -84
  List after swap: [-95, -62, -84, -10, -97, -1, -79, -60, 83]
  Compare -10 and -97
  Swap -10 and -97
  List after swap: [-95, -62, -84, -97, -10, -1, -79, -60, 83]
  Compare -10 and -1
  No swap needed
  Compare -1 and -79
  Swap -1 and -79
  List after swap: [-95, -62, -84, -97, -10, -79, -1, -60, 83]
  Compare -1 and -60
  Swap -1 and -60
  List after swap: [-95, -62, -84, -97, -10, -79, -60, -1, 83]

Pass 3:
  Compare -95 and -62
  No swap needed
  Compare -62 and -84
  Swap -62 and -84
  List after swap: [-95, -84, -62, -97, -10, -79, -60, -1, 83]
  Compare -62 and -97
  Swap -62 and -97
  List after swap: [-95, -84, -97, -62, -10, -79, -60, -1, 83]
  Compare -62 and -10
  No swap needed
  Compare -10 and -79
  Swap -10 and -79
  List after swap: [-95, -84, -97, -62, -79, -10, -60, -1, 83]
  Compare -10 and -60
  Swap -10 and -60
  List after swap: [-95, -84, -97, -62, -79, -60, -10, -1, 83]

Pass 4:
  Compare -95 and -84
  No swap needed
  Compare -84 and -97
  Swap -84 and -97
  List after swap: [-95, -97, -84, -62, -79, -60, -10, -1, 83]
  Compare -84 and -62
  No swap needed
  Compare -62 and -79
  Swap -62 and -79
  List after swap: [-95, -97, -84, -79, -62, -60, -10, -1, 83]
  Compare -62 and -60
  No swap needed

Pass 5:
  Compare -95 and -97
  Swap -95 and -97
  List after swap: [-97, -95, -84, -79, -62, -60, -10, -1, 83]
  Compare -95 and -84
  No swap needed
  Compare -84 and -79
  No swap needed
  Compare -79 and -62
  No swap needed

Pass 6:
  Compare -97 and -95
  No swap needed
  Compare -95 and -84
  No swap needed
  Compare -84 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -95, -84, -79, -62, -60, -10, -1, 83]
</think>

<response>-97, -95, -84, -79, -62, -60, -10, -1, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 88, -89, -47, 40, -46, -74, -21, -29.

output:
<think>
Initial list: [88, -89, -47, 40, -46, -74, -21, -29]

Pass 1:
  Compare 88 and -89
  Swap 88 and -89
  List after swap: [-89, 88, -47, 40, -46, -74, -21, -29]
  Compare 88 and -47
  Swap 88 and -47
  List after swap: [-89, -47, 88, 40, -46, -74, -21, -29]
  Compare 88 and 40
  Swap 88 and 40
  List after swap: [-89, -47, 40, 88, -46, -74, -21, -29]
  Compare 88 and -46
  Swap 88 and -46
  List after swap: [-89, -47, 40, -46, 88, -74, -21, -29]
  Compare 88 and -74
  Swap 88 and -74
  List after swap: [-89, -47, 40, -46, -74, 88, -21, -29]
  Compare 88 and -21
  Swap 88 and -21
  List after swap: [-89, -47, 40, -46, -74, -21, 88, -29]
  Compare 88 and -29
  Swap 88 and -29
  List after swap: [-89, -47, 40, -46, -74, -21, -29, 88]

Pass 2:
  Compare -89 and -47
  No swap needed
  Compare -47 and 40
  No swap needed
  Compare 40 and -46
  Swap 40 and -46
  List after swap: [-89, -47, -46, 40, -74, -21, -29, 88]
  Compare 40 and -74
  Swap 40 and -74
  List after swap: [-89, -47, -46, -74, 40, -21, -29, 88]
  Compare 40 and -21
  Swap 40 and -21
  List after swap: [-89, -47, -46, -74, -21, 40, -29, 88]
  Compare 40 and -29
  Swap 40 and -29
  List after swap: [-89, -47, -46, -74, -21, -29, 40, 88]

Pass 3:
  Compare -89 and -47
  No swap needed
  Compare -47 and -46
  No swap needed
  Compare -46 and -74
  Swap -46 and -74
  List after swap: [-89, -47, -74, -46, -21, -29, 40, 88]
  Compare -46 and -21
  No swap needed
  Compare -21 and -29
  Swap -21 and -29
  List after swap: [-89, -47, -74, -46, -29, -21, 40, 88]

Pass 4:
  Compare -89 and -47
  No swap needed
  Compare -47 and -74
  Swap -47 and -74
  List after swap: [-89, -74, -47, -46, -29, -21, 40, 88]
  Compare -47 and -46
  No swap needed
  Compare -46 and -29
  No swap needed

Pass 5:
  Compare -89 and -74
  No swap needed
  Compare -74 and -47
  No swap needed
  Compare -47 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -74, -47, -46, -29, -21, 40, 88]
</think>

<response>-89, -74, -47, -46, -29, -21, 40, 88</response>


input: Arrange the numbers 13, -97, -1, 65 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [13, -97, -1, 65]

Pass 1:
  Compare 13 and -97
  Swap 13 and -97
  List after swap: [-97, 13, -1, 65]
  Compare 13 and -1
  Swap 13 and -1
  List after swap: [-97, -1, 13, 65]
  Compare 13 and 65
  No swap needed

Pass 2:
  Compare -97 and -1
  No swap needed
  Compare -1 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -1, 13, 65]
</think>

<response>-97, -1, 13, 65</response>


input: Demonstrate how bubble sort orders the integers -65, 93, 0, -3, -13, 33, 42, 91 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-65, 93, 0, -3, -13, 33, 42, 91]

Pass 1:
  Compare -65 and 93
  No swap needed
  Compare 93 and 0
  Swap 93 and 0
  List after swap: [-65, 0, 93, -3, -13, 33, 42, 91]
  Compare 93 and -3
  Swap 93 and -3
  List after swap: [-65, 0, -3, 93, -13, 33, 42, 91]
  Compare 93 and -13
  Swap 93 and -13
  List after swap: [-65, 0, -3, -13, 93, 33, 42, 91]
  Compare 93 and 33
  Swap 93 and 33
  List after swap: [-65, 0, -3, -13, 33, 93, 42, 91]
  Compare 93 and 42
  Swap 93 and 42
  List after swap: [-65, 0, -3, -13, 33, 42, 93, 91]
  Compare 93 and 91
  Swap 93 and 91
  List after swap: [-65, 0, -3, -13, 33, 42, 91, 93]

Pass 2:
  Compare -65 and 0
  No swap needed
  Compare 0 and -3
  Swap 0 and -3
  List after swap: [-65, -3, 0, -13, 33, 42, 91, 93]
  Compare 0 and -13
  Swap 0 and -13
  List after swap: [-65, -3, -13, 0, 33, 42, 91, 93]
  Compare 0 and 33
  No swap needed
  Compare 33 and 42
  No swap needed
  Compare 42 and 91
  No swap needed

Pass 3:
  Compare -65 and -3
  No swap needed
  Compare -3 and -13
  Swap -3 and -13
  List after swap: [-65, -13, -3, 0, 33, 42, 91, 93]
  Compare -3 and 0
  No swap needed
  Compare 0 and 33
  No swap needed
  Compare 33 and 42
  No swap needed

Pass 4:
  Compare -65 and -13
  No swap needed
  Compare -13 and -3
  No swap needed
  Compare -3 and 0
  No swap needed
  Compare 0 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -13, -3, 0, 33, 42, 91, 93]
</think>

<response>-65, -13, -3, 0, 33, 42, 91, 93</response>


input: Implement bubble sort on -40, -18, 23, 79, 41, -85, -68, -73 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-40, -18, 23, 79, 41, -85, -68, -73]

Pass 1:
  Compare -40 and -18
  No swap needed
  Compare -18 and 23
  No swap needed
  Compare 23 and 79
  No swap needed
  Compare 79 and 41
  Swap 79 and 41
  List after swap: [-40, -18, 23, 41, 79, -85, -68, -73]
  Compare 79 and -85
  Swap 79 and -85
  List after swap: [-40, -18, 23, 41, -85, 79, -68, -73]
  Compare 79 and -68
  Swap 79 and -68
  List after swap: [-40, -18, 23, 41, -85, -68, 79, -73]
  Compare 79 and -73
  Swap 79 and -73
  List after swap: [-40, -18, 23, 41, -85, -68, -73, 79]

Pass 2:
  Compare -40 and -18
  No swap needed
  Compare -18 and 23
  No swap needed
  Compare 23 and 41
  No swap needed
  Compare 41 and -85
  Swap 41 and -85
  List after swap: [-40, -18, 23, -85, 41, -68, -73, 79]
  Compare 41 and -68
  Swap 41 and -68
  List after swap: [-40, -18, 23, -85, -68, 41, -73, 79]
  Compare 41 and -73
  Swap 41 and -73
  List after swap: [-40, -18, 23, -85, -68, -73, 41, 79]

Pass 3:
  Compare -40 and -18
  No swap needed
  Compare -18 and 23
  No swap needed
  Compare 23 and -85
  Swap 23 and -85
  List after swap: [-40, -18, -85, 23, -68, -73, 41, 79]
  Compare 23 and -68
  Swap 23 and -68
  List after swap: [-40, -18, -85, -68, 23, -73, 41, 79]
  Compare 23 and -73
  Swap 23 and -73
  List after swap: [-40, -18, -85, -68, -73, 23, 41, 79]

Pass 4:
  Compare -40 and -18
  No swap needed
  Compare -18 and -85
  Swap -18 and -85
  List after swap: [-40, -85, -18, -68, -73, 23, 41, 79]
  Compare -18 and -68
  Swap -18 and -68
  List after swap: [-40, -85, -68, -18, -73, 23, 41, 79]
  Compare -18 and -73
  Swap -18 and -73
  List after swap: [-40, -85, -68, -73, -18, 23, 41, 79]

Pass 5:
  Compare -40 and -85
  Swap -40 and -85
  List after swap: [-85, -40, -68, -73, -18, 23, 41, 79]
  Compare -40 and -68
  Swap -40 and -68
  List after swap: [-85, -68, -40, -73, -18, 23, 41, 79]
  Compare -40 and -73
  Swap -40 and -73
  List after swap: [-85, -68, -73, -40, -18, 23, 41, 79]

Pass 6:
  Compare -85 and -68
  No swap needed
  Compare -68 and -73
  Swap -68 and -73
  List after swap: [-85, -73, -68, -40, -18, 23, 41, 79]

Pass 7:
  Compare -85 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -73, -68, -40, -18, 23, 41, 79]
</think>

<response>-85, -73, -68, -40, -18, 23, 41, 79</response>


input: Implement bubble sort on 83, -33, -88, 43, 5, -19, -67 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [83, -33, -88, 43, 5, -19, -67]

Pass 1:
  Compare 83 and -33
  Swap 83 and -33
  List after swap: [-33, 83, -88, 43, 5, -19, -67]
  Compare 83 and -88
  Swap 83 and -88
  List after swap: [-33, -88, 83, 43, 5, -19, -67]
  Compare 83 and 43
  Swap 83 and 43
  List after swap: [-33, -88, 43, 83, 5, -19, -67]
  Compare 83 and 5
  Swap 83 and 5
  List after swap: [-33, -88, 43, 5, 83, -19, -67]
  Compare 83 and -19
  Swap 83 and -19
  List after swap: [-33, -88, 43, 5, -19, 83, -67]
  Compare 83 and -67
  Swap 83 and -67
  List after swap: [-33, -88, 43, 5, -19, -67, 83]

Pass 2:
  Compare -33 and -88
  Swap -33 and -88
  List after swap: [-88, -33, 43, 5, -19, -67, 83]
  Compare -33 and 43
  No swap needed
  Compare 43 and 5
  Swap 43 and 5
  List after swap: [-88, -33, 5, 43, -19, -67, 83]
  Compare 43 and -19
  Swap 43 and -19
  List after swap: [-88, -33, 5, -19, 43, -67, 83]
  Compare 43 and -67
  Swap 43 and -67
  List after swap: [-88, -33, 5, -19, -67, 43, 83]

Pass 3:
  Compare -88 and -33
  No swap needed
  Compare -33 and 5
  No swap needed
  Compare 5 and -19
  Swap 5 and -19
  List after swap: [-88, -33, -19, 5, -67, 43, 83]
  Compare 5 and -67
  Swap 5 and -67
  List after swap: [-88, -33, -19, -67, 5, 43, 83]

Pass 4:
  Compare -88 and -33
  No swap needed
  Compare -33 and -19
  No swap needed
  Compare -19 and -67
  Swap -19 and -67
  List after swap: [-88, -33, -67, -19, 5, 43, 83]

Pass 5:
  Compare -88 and -33
  No swap needed
  Compare -33 and -67
  Swap -33 and -67
  List after swap: [-88, -67, -33, -19, 5, 43, 83]

Pass 6:
  Compare -88 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -67, -33, -19, 5, 43, 83]
</think>

<response>-88, -67, -33, -19, 5, 43, 83</response>


input: Using the bubble sort method, sort -56, -15, 50, -35, -61, 42, 93, 24 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-56, -15, 50, -35, -61, 42, 93, 24]

Pass 1:
  Compare -56 and -15
  No swap needed
  Compare -15 and 50
  No swap needed
  Compare 50 and -35
  Swap 50 and -35
  List after swap: [-56, -15, -35, 50, -61, 42, 93, 24]
  Compare 50 and -61
  Swap 50 and -61
  List after swap: [-56, -15, -35, -61, 50, 42, 93, 24]
  Compare 50 and 42
  Swap 50 and 42
  List after swap: [-56, -15, -35, -61, 42, 50, 93, 24]
  Compare 50 and 93
  No swap needed
  Compare 93 and 24
  Swap 93 and 24
  List after swap: [-56, -15, -35, -61, 42, 50, 24, 93]

Pass 2:
  Compare -56 and -15
  No swap needed
  Compare -15 and -35
  Swap -15 and -35
  List after swap: [-56, -35, -15, -61, 42, 50, 24, 93]
  Compare -15 and -61
  Swap -15 and -61
  List after swap: [-56, -35, -61, -15, 42, 50, 24, 93]
  Compare -15 and 42
  No swap needed
  Compare 42 and 50
  No swap needed
  Compare 50 and 24
  Swap 50 and 24
  List after swap: [-56, -35, -61, -15, 42, 24, 50, 93]

Pass 3:
  Compare -56 and -35
  No swap needed
  Compare -35 and -61
  Swap -35 and -61
  List after swap: [-56, -61, -35, -15, 42, 24, 50, 93]
  Compare -35 and -15
  No swap needed
  Compare -15 and 42
  No swap needed
  Compare 42 and 24
  Swap 42 and 24
  List after swap: [-56, -61, -35, -15, 24, 42, 50, 93]

Pass 4:
  Compare -56 and -61
  Swap -56 and -61
  List after swap: [-61, -56, -35, -15, 24, 42, 50, 93]
  Compare -56 and -35
  No swap needed
  Compare -35 and -15
  No swap needed
  Compare -15 and 24
  No swap needed

Pass 5:
  Compare -61 and -56
  No swap needed
  Compare -56 and -35
  No swap needed
  Compare -35 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -56, -35, -15, 24, 42, 50, 93]
</think>

<response>-61, -56, -35, -15, 24, 42, 50, 93</response>


input: Sort these integers 32, -46, -87, 48, 45, 98 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [32, -46, -87, 48, 45, 98]

Pass 1:
  Compare 32 and -46
  Swap 32 and -46
  List after swap: [-46, 32, -87, 48, 45, 98]
  Compare 32 and -87
  Swap 32 and -87
  List after swap: [-46, -87, 32, 48, 45, 98]
  Compare 32 and 48
  No swap needed
  Compare 48 and 45
  Swap 48 and 45
  List after swap: [-46, -87, 32, 45, 48, 98]
  Compare 48 and 98
  No swap needed

Pass 2:
  Compare -46 and -87
  Swap -46 and -87
  List after swap: [-87, -46, 32, 45, 48, 98]
  Compare -46 and 32
  No swap needed
  Compare 32 and 45
  No swap needed
  Compare 45 and 48
  No swap needed

Pass 3:
  Compare -87 and -46
  No swap needed
  Compare -46 and 32
  No swap needed
  Compare 32 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -46, 32, 45, 48, 98]
</think>

<response>-87, -46, 32, 45, 48, 98</response>


input: Demonstrate how bubble sort orders the integers 85, 63, 62, -18, 91, -5, 22, -20, -64, -83 in ascending sequence, showing all steps.

output:
<think>
Initial list: [85, 63, 62, -18, 91, -5, 22, -20, -64, -83]

Pass 1:
  Compare 85 and 63
  Swap 85 and 63
  List after swap: [63, 85, 62, -18, 91, -5, 22, -20, -64, -83]
  Compare 85 and 62
  Swap 85 and 62
  List after swap: [63, 62, 85, -18, 91, -5, 22, -20, -64, -83]
  Compare 85 and -18
  Swap 85 and -18
  List after swap: [63, 62, -18, 85, 91, -5, 22, -20, -64, -83]
  Compare 85 and 91
  No swap needed
  Compare 91 and -5
  Swap 91 and -5
  List after swap: [63, 62, -18, 85, -5, 91, 22, -20, -64, -83]
  Compare 91 and 22
  Swap 91 and 22
  List after swap: [63, 62, -18, 85, -5, 22, 91, -20, -64, -83]
  Compare 91 and -20
  Swap 91 and -20
  List after swap: [63, 62, -18, 85, -5, 22, -20, 91, -64, -83]
  Compare 91 and -64
  Swap 91 and -64
  List after swap: [63, 62, -18, 85, -5, 22, -20, -64, 91, -83]
  Compare 91 and -83
  Swap 91 and -83
  List after swap: [63, 62, -18, 85, -5, 22, -20, -64, -83, 91]

Pass 2:
  Compare 63 and 62
  Swap 63 and 62
  List after swap: [62, 63, -18, 85, -5, 22, -20, -64, -83, 91]
  Compare 63 and -18
  Swap 63 and -18
  List after swap: [62, -18, 63, 85, -5, 22, -20, -64, -83, 91]
  Compare 63 and 85
  No swap needed
  Compare 85 and -5
  Swap 85 and -5
  List after swap: [62, -18, 63, -5, 85, 22, -20, -64, -83, 91]
  Compare 85 and 22
  Swap 85 and 22
  List after swap: [62, -18, 63, -5, 22, 85, -20, -64, -83, 91]
  Compare 85 and -20
  Swap 85 and -20
  List after swap: [62, -18, 63, -5, 22, -20, 85, -64, -83, 91]
  Compare 85 and -64
  Swap 85 and -64
  List after swap: [62, -18, 63, -5, 22, -20, -64, 85, -83, 91]
  Compare 85 and -83
  Swap 85 and -83
  List after swap: [62, -18, 63, -5, 22, -20, -64, -83, 85, 91]

Pass 3:
  Compare 62 and -18
  Swap 62 and -18
  List after swap: [-18, 62, 63, -5, 22, -20, -64, -83, 85, 91]
  Compare 62 and 63
  No swap needed
  Compare 63 and -5
  Swap 63 and -5
  List after swap: [-18, 62, -5, 63, 22, -20, -64, -83, 85, 91]
  Compare 63 and 22
  Swap 63 and 22
  List after swap: [-18, 62, -5, 22, 63, -20, -64, -83, 85, 91]
  Compare 63 and -20
  Swap 63 and -20
  List after swap: [-18, 62, -5, 22, -20, 63, -64, -83, 85, 91]
  Compare 63 and -64
  Swap 63 and -64
  List after swap: [-18, 62, -5, 22, -20, -64, 63, -83, 85, 91]
  Compare 63 and -83
  Swap 63 and -83
  List after swap: [-18, 62, -5, 22, -20, -64, -83, 63, 85, 91]

Pass 4:
  Compare -18 and 62
  No swap needed
  Compare 62 and -5
  Swap 62 and -5
  List after swap: [-18, -5, 62, 22, -20, -64, -83, 63, 85, 91]
  Compare 62 and 22
  Swap 62 and 22
  List after swap: [-18, -5, 22, 62, -20, -64, -83, 63, 85, 91]
  Compare 62 and -20
  Swap 62 and -20
  List after swap: [-18, -5, 22, -20, 62, -64, -83, 63, 85, 91]
  Compare 62 and -64
  Swap 62 and -64
  List after swap: [-18, -5, 22, -20, -64, 62, -83, 63, 85, 91]
  Compare 62 and -83
  Swap 62 and -83
  List after swap: [-18, -5, 22, -20, -64, -83, 62, 63, 85, 91]

Pass 5:
  Compare -18 and -5
  No swap needed
  Compare -5 and 22
  No swap needed
  Compare 22 and -20
  Swap 22 and -20
  List after swap: [-18, -5, -20, 22, -64, -83, 62, 63, 85, 91]
  Compare 22 and -64
  Swap 22 and -64
  List after swap: [-18, -5, -20, -64, 22, -83, 62, 63, 85, 91]
  Compare 22 and -83
  Swap 22 and -83
  List after swap: [-18, -5, -20, -64, -83, 22, 62, 63, 85, 91]

Pass 6:
  Compare -18 and -5
  No swap needed
  Compare -5 and -20
  Swap -5 and -20
  List after swap: [-18, -20, -5, -64, -83, 22, 62, 63, 85, 91]
  Compare -5 and -64
  Swap -5 and -64
  List after swap: [-18, -20, -64, -5, -83, 22, 62, 63, 85, 91]
  Compare -5 and -83
  Swap -5 and -83
  List after swap: [-18, -20, -64, -83, -5, 22, 62, 63, 85, 91]

Pass 7:
  Compare -18 and -20
  Swap -18 and -20
  List after swap: [-20, -18, -64, -83, -5, 22, 62, 63, 85, 91]
  Compare -18 and -64
  Swap -18 and -64
  List after swap: [-20, -64, -18, -83, -5, 22, 62, 63, 85, 91]
  Compare -18 and -83
  Swap -18 and -83
  List after swap: [-20, -64, -83, -18, -5, 22, 62, 63, 85, 91]

Pass 8:
  Compare -20 and -64
  Swap -20 and -64
  List after swap: [-64, -20, -83, -18, -5, 22, 62, 63, 85, 91]
  Compare -20 and -83
  Swap -20 and -83
  List after swap: [-64, -83, -20, -18, -5, 22, 62, 63, 85, 91]

Pass 9:
  Compare -64 and -83
  Swap -64 and -83
  List after swap: [-83, -64, -20, -18, -5, 22, 62, 63, 85, 91]

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

Final sorted list: [-83, -64, -20, -18, -5, 22, 62, 63, 85, 91]
</think>

<response>-83, -64, -20, -18, -5, 22, 62, 63, 85, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -21, -93, 96, -52, 10, 73, 11.

output:
<think>
Initial list: [-21, -93, 96, -52, 10, 73, 11]

Pass 1:
  Compare -21 and -93
  Swap -21 and -93
  List after swap: [-93, -21, 96, -52, 10, 73, 11]
  Compare -21 and 96
  No swap needed
  Compare 96 and -52
  Swap 96 and -52
  List after swap: [-93, -21, -52, 96, 10, 73, 11]
  Compare 96 and 10
  Swap 96 and 10
  List after swap: [-93, -21, -52, 10, 96, 73, 11]
  Compare 96 and 73
  Swap 96 and 73
  List after swap: [-93, -21, -52, 10, 73, 96, 11]
  Compare 96 and 11
  Swap 96 and 11
  List after swap: [-93, -21, -52, 10, 73, 11, 96]

Pass 2:
  Compare -93 and -21
  No swap needed
  Compare -21 and -52
  Swap -21 and -52
  List after swap: [-93, -52, -21, 10, 73, 11, 96]
  Compare -21 and 10
  No swap needed
  Compare 10 and 73
  No swap needed
  Compare 73 and 11
  Swap 73 and 11
  List after swap: [-93, -52, -21, 10, 11, 73, 96]

Pass 3:
  Compare -93 and -52
  No swap needed
  Compare -52 and -21
  No swap needed
  Compare -21 and 10
  No swap needed
  Compare 10 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -52, -21, 10, 11, 73, 96]
</think>

<response>-93, -52, -21, 10, 11, 73, 96</response>


input: Demonstrate how bubble sort orders the integers 4, -6, -19, 89 in ascending sequence, showing all steps.

output:
<think>
Initial list: [4, -6, -19, 89]

Pass 1:
  Compare 4 and -6
  Swap 4 and -6
  List after swap: [-6, 4, -19, 89]
  Compare 4 and -19
  Swap 4 and -19
  List after swap: [-6, -19, 4, 89]
  Compare 4 and 89
  No swap needed

Pass 2:
  Compare -6 and -19
  Swap -6 and -19
  List after swap: [-19, -6, 4, 89]
  Compare -6 and 4
  No swap needed

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

Final sorted list: [-19, -6, 4, 89]
</think>

<response>-19, -6, 4, 89</response>


input: Sort these integers -3, 15 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-3, 15]

Pass 1:
  Compare -3 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-3, 15]
</think>

<response>-3, 15</response>


input: Demonstrate how bubble sort orders the integers 29, 3, -3, -38, 71, -99, 70 in ascending sequence, showing all steps.

output:
<think>
Initial list: [29, 3, -3, -38, 71, -99, 70]

Pass 1:
  Compare 29 and 3
  Swap 29 and 3
  List after swap: [3, 29, -3, -38, 71, -99, 70]
  Compare 29 and -3
  Swap 29 and -3
  List after swap: [3, -3, 29, -38, 71, -99, 70]
  Compare 29 and -38
  Swap 29 and -38
  List after swap: [3, -3, -38, 29, 71, -99, 70]
  Compare 29 and 71
  No swap needed
  Compare 71 and -99
  Swap 71 and -99
  List after swap: [3, -3, -38, 29, -99, 71, 70]
  Compare 71 and 70
  Swap 71 and 70
  List after swap: [3, -3, -38, 29, -99, 70, 71]

Pass 2:
  Compare 3 and -3
  Swap 3 and -3
  List after swap: [-3, 3, -38, 29, -99, 70, 71]
  Compare 3 and -38
  Swap 3 and -38
  List after swap: [-3, -38, 3, 29, -99, 70, 71]
  Compare 3 and 29
  No swap needed
  Compare 29 and -99
  Swap 29 and -99
  List after swap: [-3, -38, 3, -99, 29, 70, 71]
  Compare 29 and 70
  No swap needed

Pass 3:
  Compare -3 and -38
  Swap -3 and -38
  List after swap: [-38, -3, 3, -99, 29, 70, 71]
  Compare -3 and 3
  No swap needed
  Compare 3 and -99
  Swap 3 and -99
  List after swap: [-38, -3, -99, 3, 29, 70, 71]
  Compare 3 and 29
  No swap needed

Pass 4:
  Compare -38 and -3
  No swap needed
  Compare -3 and -99
  Swap -3 and -99
  List after swap: [-38, -99, -3, 3, 29, 70, 71]
  Compare -3 and 3
  No swap needed

Pass 5:
  Compare -38 and -99
  Swap -38 and -99
  List after swap: [-99, -38, -3, 3, 29, 70, 71]
  Compare -38 and -3
  No swap needed

Pass 6:
  Compare -99 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -38, -3, 3, 29, 70, 71]
</think>

<response>-99, -38, -3, 3, 29, 70, 71</response>


input: Using the bubble sort method, sort -16, 32, -37, -12, 70, -49 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-16, 32, -37, -12, 70, -49]

Pass 1:
  Compare -16 and 32
  No swap needed
  Compare 32 and -37
  Swap 32 and -37
  List after swap: [-16, -37, 32, -12, 70, -49]
  Compare 32 and -12
  Swap 32 and -12
  List after swap: [-16, -37, -12, 32, 70, -49]
  Compare 32 and 70
  No swap needed
  Compare 70 and -49
  Swap 70 and -49
  List after swap: [-16, -37, -12, 32, -49, 70]

Pass 2:
  Compare -16 and -37
  Swap -16 and -37
  List after swap: [-37, -16, -12, 32, -49, 70]
  Compare -16 and -12
  No swap needed
  Compare -12 and 32
  No swap needed
  Compare 32 and -49
  Swap 32 and -49
  List after swap: [-37, -16, -12, -49, 32, 70]

Pass 3:
  Compare -37 and -16
  No swap needed
  Compare -16 and -12
  No swap needed
  Compare -12 and -49
  Swap -12 and -49
  List after swap: [-37, -16, -49, -12, 32, 70]

Pass 4:
  Compare -37 and -16
  No swap needed
  Compare -16 and -49
  Swap -16 and -49
  List after swap: [-37, -49, -16, -12, 32, 70]

Pass 5:
  Compare -37 and -49
  Swap -37 and -49
  List after swap: [-49, -37, -16, -12, 32, 70]

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

Final sorted list: [-49, -37, -16, -12, 32, 70]
</think>

<response>-49, -37, -16, -12, 32, 70</response>


input: Execute bubble sort to sort 27, 82 in increasing order and detail each phase of the sorting process.

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

Pass 1:
  Compare 27 and 82
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>27, 82</response>


input: Carry out the bubble sort algorithm on -97, -15, 31, 63, 48, -66 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-97, -15, 31, 63, 48, -66]

Pass 1:
  Compare -97 and -15
  No swap needed
  Compare -15 and 31
  No swap needed
  Compare 31 and 63
  No swap needed
  Compare 63 and 48
  Swap 63 and 48
  List after swap: [-97, -15, 31, 48, 63, -66]
  Compare 63 and -66
  Swap 63 and -66
  List after swap: [-97, -15, 31, 48, -66, 63]

Pass 2:
  Compare -97 and -15
  No swap needed
  Compare -15 and 31
  No swap needed
  Compare 31 and 48
  No swap needed
  Compare 48 and -66
  Swap 48 and -66
  List after swap: [-97, -15, 31, -66, 48, 63]

Pass 3:
  Compare -97 and -15
  No swap needed
  Compare -15 and 31
  No swap needed
  Compare 31 and -66
  Swap 31 and -66
  List after swap: [-97, -15, -66, 31, 48, 63]

Pass 4:
  Compare -97 and -15
  No swap needed
  Compare -15 and -66
  Swap -15 and -66
  List after swap: [-97, -66, -15, 31, 48, 63]

Pass 5:
  Compare -97 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -66, -15, 31, 48, 63]
</think>

<response>-97, -66, -15, 31, 48, 63</response>