input: Arrange the numbers -42, 95, -71, 42, -31, 77, -4, -29, -53 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-42, 95, -71, 42, -31, 77, -4, -29, -53]

Pass 1:
  Compare -42 and 95
  No swap needed
  Compare 95 and -71
  Swap 95 and -71
  List after swap: [-42, -71, 95, 42, -31, 77, -4, -29, -53]
  Compare 95 and 42
  Swap 95 and 42
  List after swap: [-42, -71, 42, 95, -31, 77, -4, -29, -53]
  Compare 95 and -31
  Swap 95 and -31
  List after swap: [-42, -71, 42, -31, 95, 77, -4, -29, -53]
  Compare 95 and 77
  Swap 95 and 77
  List after swap: [-42, -71, 42, -31, 77, 95, -4, -29, -53]
  Compare 95 and -4
  Swap 95 and -4
  List after swap: [-42, -71, 42, -31, 77, -4, 95, -29, -53]
  Compare 95 and -29
  Swap 95 and -29
  List after swap: [-42, -71, 42, -31, 77, -4, -29, 95, -53]
  Compare 95 and -53
  Swap 95 and -53
  List after swap: [-42, -71, 42, -31, 77, -4, -29, -53, 95]

Pass 2:
  Compare -42 and -71
  Swap -42 and -71
  List after swap: [-71, -42, 42, -31, 77, -4, -29, -53, 95]
  Compare -42 and 42
  No swap needed
  Compare 42 and -31
  Swap 42 and -31
  List after swap: [-71, -42, -31, 42, 77, -4, -29, -53, 95]
  Compare 42 and 77
  No swap needed
  Compare 77 and -4
  Swap 77 and -4
  List after swap: [-71, -42, -31, 42, -4, 77, -29, -53, 95]
  Compare 77 and -29
  Swap 77 and -29
  List after swap: [-71, -42, -31, 42, -4, -29, 77, -53, 95]
  Compare 77 and -53
  Swap 77 and -53
  List after swap: [-71, -42, -31, 42, -4, -29, -53, 77, 95]

Pass 3:
  Compare -71 and -42
  No swap needed
  Compare -42 and -31
  No swap needed
  Compare -31 and 42
  No swap needed
  Compare 42 and -4
  Swap 42 and -4
  List after swap: [-71, -42, -31, -4, 42, -29, -53, 77, 95]
  Compare 42 and -29
  Swap 42 and -29
  List after swap: [-71, -42, -31, -4, -29, 42, -53, 77, 95]
  Compare 42 and -53
  Swap 42 and -53
  List after swap: [-71, -42, -31, -4, -29, -53, 42, 77, 95]

Pass 4:
  Compare -71 and -42
  No swap needed
  Compare -42 and -31
  No swap needed
  Compare -31 and -4
  No swap needed
  Compare -4 and -29
  Swap -4 and -29
  List after swap: [-71, -42, -31, -29, -4, -53, 42, 77, 95]
  Compare -4 and -53
  Swap -4 and -53
  List after swap: [-71, -42, -31, -29, -53, -4, 42, 77, 95]

Pass 5:
  Compare -71 and -42
  No swap needed
  Compare -42 and -31
  No swap needed
  Compare -31 and -29
  No swap needed
  Compare -29 and -53
  Swap -29 and -53
  List after swap: [-71, -42, -31, -53, -29, -4, 42, 77, 95]

Pass 6:
  Compare -71 and -42
  No swap needed
  Compare -42 and -31
  No swap needed
  Compare -31 and -53
  Swap -31 and -53
  List after swap: [-71, -42, -53, -31, -29, -4, 42, 77, 95]

Pass 7:
  Compare -71 and -42
  No swap needed
  Compare -42 and -53
  Swap -42 and -53
  List after swap: [-71, -53, -42, -31, -29, -4, 42, 77, 95]

Pass 8:
  Compare -71 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -53, -42, -31, -29, -4, 42, 77, 95]
</think>

<response>-71, -53, -42, -31, -29, -4, 42, 77, 95</response>


input: Arrange the numbers 48, 56, -22, 83, -1 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [48, 56, -22, 83, -1]

Pass 1:
  Compare 48 and 56
  No swap needed
  Compare 56 and -22
  Swap 56 and -22
  List after swap: [48, -22, 56, 83, -1]
  Compare 56 and 83
  No swap needed
  Compare 83 and -1
  Swap 83 and -1
  List after swap: [48, -22, 56, -1, 83]

Pass 2:
  Compare 48 and -22
  Swap 48 and -22
  List after swap: [-22, 48, 56, -1, 83]
  Compare 48 and 56
  No swap needed
  Compare 56 and -1
  Swap 56 and -1
  List after swap: [-22, 48, -1, 56, 83]

Pass 3:
  Compare -22 and 48
  No swap needed
  Compare 48 and -1
  Swap 48 and -1
  List after swap: [-22, -1, 48, 56, 83]

Pass 4:
  Compare -22 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, -1, 48, 56, 83]
</think>

<response>-22, -1, 48, 56, 83</response>


input: Carry out the bubble sort algorithm on -22, -94, 77, -39, -26, 32, 38 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-22, -94, 77, -39, -26, 32, 38]

Pass 1:
  Compare -22 and -94
  Swap -22 and -94
  List after swap: [-94, -22, 77, -39, -26, 32, 38]
  Compare -22 and 77
  No swap needed
  Compare 77 and -39
  Swap 77 and -39
  List after swap: [-94, -22, -39, 77, -26, 32, 38]
  Compare 77 and -26
  Swap 77 and -26
  List after swap: [-94, -22, -39, -26, 77, 32, 38]
  Compare 77 and 32
  Swap 77 and 32
  List after swap: [-94, -22, -39, -26, 32, 77, 38]
  Compare 77 and 38
  Swap 77 and 38
  List after swap: [-94, -22, -39, -26, 32, 38, 77]

Pass 2:
  Compare -94 and -22
  No swap needed
  Compare -22 and -39
  Swap -22 and -39
  List after swap: [-94, -39, -22, -26, 32, 38, 77]
  Compare -22 and -26
  Swap -22 and -26
  List after swap: [-94, -39, -26, -22, 32, 38, 77]
  Compare -22 and 32
  No swap needed
  Compare 32 and 38
  No swap needed

Pass 3:
  Compare -94 and -39
  No swap needed
  Compare -39 and -26
  No swap needed
  Compare -26 and -22
  No swap needed
  Compare -22 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -39, -26, -22, 32, 38, 77]
</think>

<response>-94, -39, -26, -22, 32, 38, 77</response>


input: Arrange the numbers -91, 94, 85, 64, -3, -63, -50, 68, 77, 91 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-91, 94, 85, 64, -3, -63, -50, 68, 77, 91]

Pass 1:
  Compare -91 and 94
  No swap needed
  Compare 94 and 85
  Swap 94 and 85
  List after swap: [-91, 85, 94, 64, -3, -63, -50, 68, 77, 91]
  Compare 94 and 64
  Swap 94 and 64
  List after swap: [-91, 85, 64, 94, -3, -63, -50, 68, 77, 91]
  Compare 94 and -3
  Swap 94 and -3
  List after swap: [-91, 85, 64, -3, 94, -63, -50, 68, 77, 91]
  Compare 94 and -63
  Swap 94 and -63
  List after swap: [-91, 85, 64, -3, -63, 94, -50, 68, 77, 91]
  Compare 94 and -50
  Swap 94 and -50
  List after swap: [-91, 85, 64, -3, -63, -50, 94, 68, 77, 91]
  Compare 94 and 68
  Swap 94 and 68
  List after swap: [-91, 85, 64, -3, -63, -50, 68, 94, 77, 91]
  Compare 94 and 77
  Swap 94 and 77
  List after swap: [-91, 85, 64, -3, -63, -50, 68, 77, 94, 91]
  Compare 94 and 91
  Swap 94 and 91
  List after swap: [-91, 85, 64, -3, -63, -50, 68, 77, 91, 94]

Pass 2:
  Compare -91 and 85
  No swap needed
  Compare 85 and 64
  Swap 85 and 64
  List after swap: [-91, 64, 85, -3, -63, -50, 68, 77, 91, 94]
  Compare 85 and -3
  Swap 85 and -3
  List after swap: [-91, 64, -3, 85, -63, -50, 68, 77, 91, 94]
  Compare 85 and -63
  Swap 85 and -63
  List after swap: [-91, 64, -3, -63, 85, -50, 68, 77, 91, 94]
  Compare 85 and -50
  Swap 85 and -50
  List after swap: [-91, 64, -3, -63, -50, 85, 68, 77, 91, 94]
  Compare 85 and 68
  Swap 85 and 68
  List after swap: [-91, 64, -3, -63, -50, 68, 85, 77, 91, 94]
  Compare 85 and 77
  Swap 85 and 77
  List after swap: [-91, 64, -3, -63, -50, 68, 77, 85, 91, 94]
  Compare 85 and 91
  No swap needed

Pass 3:
  Compare -91 and 64
  No swap needed
  Compare 64 and -3
  Swap 64 and -3
  List after swap: [-91, -3, 64, -63, -50, 68, 77, 85, 91, 94]
  Compare 64 and -63
  Swap 64 and -63
  List after swap: [-91, -3, -63, 64, -50, 68, 77, 85, 91, 94]
  Compare 64 and -50
  Swap 64 and -50
  List after swap: [-91, -3, -63, -50, 64, 68, 77, 85, 91, 94]
  Compare 64 and 68
  No swap needed
  Compare 68 and 77
  No swap needed
  Compare 77 and 85
  No swap needed

Pass 4:
  Compare -91 and -3
  No swap needed
  Compare -3 and -63
  Swap -3 and -63
  List after swap: [-91, -63, -3, -50, 64, 68, 77, 85, 91, 94]
  Compare -3 and -50
  Swap -3 and -50
  List after swap: [-91, -63, -50, -3, 64, 68, 77, 85, 91, 94]
  Compare -3 and 64
  No swap needed
  Compare 64 and 68
  No swap needed
  Compare 68 and 77
  No swap needed

Pass 5:
  Compare -91 and -63
  No swap needed
  Compare -63 and -50
  No swap needed
  Compare -50 and -3
  No swap needed
  Compare -3 and 64
  No swap needed
  Compare 64 and 68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -63, -50, -3, 64, 68, 77, 85, 91, 94]
</think>

<response>-91, -63, -50, -3, 64, 68, 77, 85, 91, 94</response>


input: Carry out the bubble sort algorithm on 50, 34, -62, -21, 33 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [50, 34, -62, -21, 33]

Pass 1:
  Compare 50 and 34
  Swap 50 and 34
  List after swap: [34, 50, -62, -21, 33]
  Compare 50 and -62
  Swap 50 and -62
  List after swap: [34, -62, 50, -21, 33]
  Compare 50 and -21
  Swap 50 and -21
  List after swap: [34, -62, -21, 50, 33]
  Compare 50 and 33
  Swap 50 and 33
  List after swap: [34, -62, -21, 33, 50]

Pass 2:
  Compare 34 and -62
  Swap 34 and -62
  List after swap: [-62, 34, -21, 33, 50]
  Compare 34 and -21
  Swap 34 and -21
  List after swap: [-62, -21, 34, 33, 50]
  Compare 34 and 33
  Swap 34 and 33
  List after swap: [-62, -21, 33, 34, 50]

Pass 3:
  Compare -62 and -21
  No swap needed
  Compare -21 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -21, 33, 34, 50]
</think>

<response>-62, -21, 33, 34, 50</response>


input: Perform a bubble sort on the integers 33, -19, 52, -63, 63, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [33, -19, 52, -63, 63]

Pass 1:
  Compare 33 and -19
  Swap 33 and -19
  List after swap: [-19, 33, 52, -63, 63]
  Compare 33 and 52
  No swap needed
  Compare 52 and -63
  Swap 52 and -63
  List after swap: [-19, 33, -63, 52, 63]
  Compare 52 and 63
  No swap needed

Pass 2:
  Compare -19 and 33
  No swap needed
  Compare 33 and -63
  Swap 33 and -63
  List after swap: [-19, -63, 33, 52, 63]
  Compare 33 and 52
  No swap needed

Pass 3:
  Compare -19 and -63
  Swap -19 and -63
  List after swap: [-63, -19, 33, 52, 63]
  Compare -19 and 33
  No swap needed

Pass 4:
  Compare -63 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -19, 33, 52, 63]
</think>

<response>-63, -19, 33, 52, 63</response>


input: Demonstrate how bubble sort orders the integers -26, 97, 33, 94, -41, 29, 46, -92, 35, -84 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-26, 97, 33, 94, -41, 29, 46, -92, 35, -84]

Pass 1:
  Compare -26 and 97
  No swap needed
  Compare 97 and 33
  Swap 97 and 33
  List after swap: [-26, 33, 97, 94, -41, 29, 46, -92, 35, -84]
  Compare 97 and 94
  Swap 97 and 94
  List after swap: [-26, 33, 94, 97, -41, 29, 46, -92, 35, -84]
  Compare 97 and -41
  Swap 97 and -41
  List after swap: [-26, 33, 94, -41, 97, 29, 46, -92, 35, -84]
  Compare 97 and 29
  Swap 97 and 29
  List after swap: [-26, 33, 94, -41, 29, 97, 46, -92, 35, -84]
  Compare 97 and 46
  Swap 97 and 46
  List after swap: [-26, 33, 94, -41, 29, 46, 97, -92, 35, -84]
  Compare 97 and -92
  Swap 97 and -92
  List after swap: [-26, 33, 94, -41, 29, 46, -92, 97, 35, -84]
  Compare 97 and 35
  Swap 97 and 35
  List after swap: [-26, 33, 94, -41, 29, 46, -92, 35, 97, -84]
  Compare 97 and -84
  Swap 97 and -84
  List after swap: [-26, 33, 94, -41, 29, 46, -92, 35, -84, 97]

Pass 2:
  Compare -26 and 33
  No swap needed
  Compare 33 and 94
  No swap needed
  Compare 94 and -41
  Swap 94 and -41
  List after swap: [-26, 33, -41, 94, 29, 46, -92, 35, -84, 97]
  Compare 94 and 29
  Swap 94 and 29
  List after swap: [-26, 33, -41, 29, 94, 46, -92, 35, -84, 97]
  Compare 94 and 46
  Swap 94 and 46
  List after swap: [-26, 33, -41, 29, 46, 94, -92, 35, -84, 97]
  Compare 94 and -92
  Swap 94 and -92
  List after swap: [-26, 33, -41, 29, 46, -92, 94, 35, -84, 97]
  Compare 94 and 35
  Swap 94 and 35
  List after swap: [-26, 33, -41, 29, 46, -92, 35, 94, -84, 97]
  Compare 94 and -84
  Swap 94 and -84
  List after swap: [-26, 33, -41, 29, 46, -92, 35, -84, 94, 97]

Pass 3:
  Compare -26 and 33
  No swap needed
  Compare 33 and -41
  Swap 33 and -41
  List after swap: [-26, -41, 33, 29, 46, -92, 35, -84, 94, 97]
  Compare 33 and 29
  Swap 33 and 29
  List after swap: [-26, -41, 29, 33, 46, -92, 35, -84, 94, 97]
  Compare 33 and 46
  No swap needed
  Compare 46 and -92
  Swap 46 and -92
  List after swap: [-26, -41, 29, 33, -92, 46, 35, -84, 94, 97]
  Compare 46 and 35
  Swap 46 and 35
  List after swap: [-26, -41, 29, 33, -92, 35, 46, -84, 94, 97]
  Compare 46 and -84
  Swap 46 and -84
  List after swap: [-26, -41, 29, 33, -92, 35, -84, 46, 94, 97]

Pass 4:
  Compare -26 and -41
  Swap -26 and -41
  List after swap: [-41, -26, 29, 33, -92, 35, -84, 46, 94, 97]
  Compare -26 and 29
  No swap needed
  Compare 29 and 33
  No swap needed
  Compare 33 and -92
  Swap 33 and -92
  List after swap: [-41, -26, 29, -92, 33, 35, -84, 46, 94, 97]
  Compare 33 and 35
  No swap needed
  Compare 35 and -84
  Swap 35 and -84
  List after swap: [-41, -26, 29, -92, 33, -84, 35, 46, 94, 97]

Pass 5:
  Compare -41 and -26
  No swap needed
  Compare -26 and 29
  No swap needed
  Compare 29 and -92
  Swap 29 and -92
  List after swap: [-41, -26, -92, 29, 33, -84, 35, 46, 94, 97]
  Compare 29 and 33
  No swap needed
  Compare 33 and -84
  Swap 33 and -84
  List after swap: [-41, -26, -92, 29, -84, 33, 35, 46, 94, 97]

Pass 6:
  Compare -41 and -26
  No swap needed
  Compare -26 and -92
  Swap -26 and -92
  List after swap: [-41, -92, -26, 29, -84, 33, 35, 46, 94, 97]
  Compare -26 and 29
  No swap needed
  Compare 29 and -84
  Swap 29 and -84
  List after swap: [-41, -92, -26, -84, 29, 33, 35, 46, 94, 97]

Pass 7:
  Compare -41 and -92
  Swap -41 and -92
  List after swap: [-92, -41, -26, -84, 29, 33, 35, 46, 94, 97]
  Compare -41 and -26
  No swap needed
  Compare -26 and -84
  Swap -26 and -84
  List after swap: [-92, -41, -84, -26, 29, 33, 35, 46, 94, 97]

Pass 8:
  Compare -92 and -41
  No swap needed
  Compare -41 and -84
  Swap -41 and -84
  List after swap: [-92, -84, -41, -26, 29, 33, 35, 46, 94, 97]

Pass 9:
  Compare -92 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -84, -41, -26, 29, 33, 35, 46, 94, 97]
</think>

<response>-92, -84, -41, -26, 29, 33, 35, 46, 94, 97</response>


input: Demonstrate how bubble sort orders the integers 88, -54, 77 in ascending sequence, showing all steps.

output:
<think>
Initial list: [88, -54, 77]

Pass 1:
  Compare 88 and -54
  Swap 88 and -54
  List after swap: [-54, 88, 77]
  Compare 88 and 77
  Swap 88 and 77
  List after swap: [-54, 77, 88]

Pass 2:
  Compare -54 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, 77, 88]
</think>

<response>-54, 77, 88</response>


input: Implement bubble sort on -78, 81, -69, 74, 76, 14, -40, 98 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-78, 81, -69, 74, 76, 14, -40, 98]

Pass 1:
  Compare -78 and 81
  No swap needed
  Compare 81 and -69
  Swap 81 and -69
  List after swap: [-78, -69, 81, 74, 76, 14, -40, 98]
  Compare 81 and 74
  Swap 81 and 74
  List after swap: [-78, -69, 74, 81, 76, 14, -40, 98]
  Compare 81 and 76
  Swap 81 and 76
  List after swap: [-78, -69, 74, 76, 81, 14, -40, 98]
  Compare 81 and 14
  Swap 81 and 14
  List after swap: [-78, -69, 74, 76, 14, 81, -40, 98]
  Compare 81 and -40
  Swap 81 and -40
  List after swap: [-78, -69, 74, 76, 14, -40, 81, 98]
  Compare 81 and 98
  No swap needed

Pass 2:
  Compare -78 and -69
  No swap needed
  Compare -69 and 74
  No swap needed
  Compare 74 and 76
  No swap needed
  Compare 76 and 14
  Swap 76 and 14
  List after swap: [-78, -69, 74, 14, 76, -40, 81, 98]
  Compare 76 and -40
  Swap 76 and -40
  List after swap: [-78, -69, 74, 14, -40, 76, 81, 98]
  Compare 76 and 81
  No swap needed

Pass 3:
  Compare -78 and -69
  No swap needed
  Compare -69 and 74
  No swap needed
  Compare 74 and 14
  Swap 74 and 14
  List after swap: [-78, -69, 14, 74, -40, 76, 81, 98]
  Compare 74 and -40
  Swap 74 and -40
  List after swap: [-78, -69, 14, -40, 74, 76, 81, 98]
  Compare 74 and 76
  No swap needed

Pass 4:
  Compare -78 and -69
  No swap needed
  Compare -69 and 14
  No swap needed
  Compare 14 and -40
  Swap 14 and -40
  List after swap: [-78, -69, -40, 14, 74, 76, 81, 98]
  Compare 14 and 74
  No swap needed

Pass 5:
  Compare -78 and -69
  No swap needed
  Compare -69 and -40
  No swap needed
  Compare -40 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -69, -40, 14, 74, 76, 81, 98]
</think>

<response>-78, -69, -40, 14, 74, 76, 81, 98</response>


input: Perform a bubble sort on the integers 27, -72, arranging them in ascending order and outlining every step.

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

Pass 1:
  Compare 27 and -72
  Swap 27 and -72
  List after swap: [-72, 27]

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

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

<response>-72, 27</response>


input: Implement bubble sort on -1, -68, 99, -7, -79, -62 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-1, -68, 99, -7, -79, -62]

Pass 1:
  Compare -1 and -68
  Swap -1 and -68
  List after swap: [-68, -1, 99, -7, -79, -62]
  Compare -1 and 99
  No swap needed
  Compare 99 and -7
  Swap 99 and -7
  List after swap: [-68, -1, -7, 99, -79, -62]
  Compare 99 and -79
  Swap 99 and -79
  List after swap: [-68, -1, -7, -79, 99, -62]
  Compare 99 and -62
  Swap 99 and -62
  List after swap: [-68, -1, -7, -79, -62, 99]

Pass 2:
  Compare -68 and -1
  No swap needed
  Compare -1 and -7
  Swap -1 and -7
  List after swap: [-68, -7, -1, -79, -62, 99]
  Compare -1 and -79
  Swap -1 and -79
  List after swap: [-68, -7, -79, -1, -62, 99]
  Compare -1 and -62
  Swap -1 and -62
  List after swap: [-68, -7, -79, -62, -1, 99]

Pass 3:
  Compare -68 and -7
  No swap needed
  Compare -7 and -79
  Swap -7 and -79
  List after swap: [-68, -79, -7, -62, -1, 99]
  Compare -7 and -62
  Swap -7 and -62
  List after swap: [-68, -79, -62, -7, -1, 99]

Pass 4:
  Compare -68 and -79
  Swap -68 and -79
  List after swap: [-79, -68, -62, -7, -1, 99]
  Compare -68 and -62
  No swap needed

Pass 5:
  Compare -79 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -68, -62, -7, -1, 99]
</think>

<response>-79, -68, -62, -7, -1, 99</response>


input: Arrange the numbers 29, 51, -47 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [29, 51, -47]

Pass 1:
  Compare 29 and 51
  No swap needed
  Compare 51 and -47
  Swap 51 and -47
  List after swap: [29, -47, 51]

Pass 2:
  Compare 29 and -47
  Swap 29 and -47
  List after swap: [-47, 29, 51]

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

Final sorted list: [-47, 29, 51]
</think>

<response>-47, 29, 51</response>


input: Use the bubble sort technique to reorder -54, 57, 79, 68, 40, 64, 31, -35 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-54, 57, 79, 68, 40, 64, 31, -35]

Pass 1:
  Compare -54 and 57
  No swap needed
  Compare 57 and 79
  No swap needed
  Compare 79 and 68
  Swap 79 and 68
  List after swap: [-54, 57, 68, 79, 40, 64, 31, -35]
  Compare 79 and 40
  Swap 79 and 40
  List after swap: [-54, 57, 68, 40, 79, 64, 31, -35]
  Compare 79 and 64
  Swap 79 and 64
  List after swap: [-54, 57, 68, 40, 64, 79, 31, -35]
  Compare 79 and 31
  Swap 79 and 31
  List after swap: [-54, 57, 68, 40, 64, 31, 79, -35]
  Compare 79 and -35
  Swap 79 and -35
  List after swap: [-54, 57, 68, 40, 64, 31, -35, 79]

Pass 2:
  Compare -54 and 57
  No swap needed
  Compare 57 and 68
  No swap needed
  Compare 68 and 40
  Swap 68 and 40
  List after swap: [-54, 57, 40, 68, 64, 31, -35, 79]
  Compare 68 and 64
  Swap 68 and 64
  List after swap: [-54, 57, 40, 64, 68, 31, -35, 79]
  Compare 68 and 31
  Swap 68 and 31
  List after swap: [-54, 57, 40, 64, 31, 68, -35, 79]
  Compare 68 and -35
  Swap 68 and -35
  List after swap: [-54, 57, 40, 64, 31, -35, 68, 79]

Pass 3:
  Compare -54 and 57
  No swap needed
  Compare 57 and 40
  Swap 57 and 40
  List after swap: [-54, 40, 57, 64, 31, -35, 68, 79]
  Compare 57 and 64
  No swap needed
  Compare 64 and 31
  Swap 64 and 31
  List after swap: [-54, 40, 57, 31, 64, -35, 68, 79]
  Compare 64 and -35
  Swap 64 and -35
  List after swap: [-54, 40, 57, 31, -35, 64, 68, 79]

Pass 4:
  Compare -54 and 40
  No swap needed
  Compare 40 and 57
  No swap needed
  Compare 57 and 31
  Swap 57 and 31
  List after swap: [-54, 40, 31, 57, -35, 64, 68, 79]
  Compare 57 and -35
  Swap 57 and -35
  List after swap: [-54, 40, 31, -35, 57, 64, 68, 79]

Pass 5:
  Compare -54 and 40
  No swap needed
  Compare 40 and 31
  Swap 40 and 31
  List after swap: [-54, 31, 40, -35, 57, 64, 68, 79]
  Compare 40 and -35
  Swap 40 and -35
  List after swap: [-54, 31, -35, 40, 57, 64, 68, 79]

Pass 6:
  Compare -54 and 31
  No swap needed
  Compare 31 and -35
  Swap 31 and -35
  List after swap: [-54, -35, 31, 40, 57, 64, 68, 79]

Pass 7:
  Compare -54 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -35, 31, 40, 57, 64, 68, 79]
</think>

<response>-54, -35, 31, 40, 57, 64, 68, 79</response>


input: Use the bubble sort technique to reorder 23, 61 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [23, 61]

Pass 1:
  Compare 23 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [23, 61]
</think>

<response>23, 61</response>


input: Carry out the bubble sort algorithm on -71, 90 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-71, 90]

Pass 1:
  Compare -71 and 90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, 90]
</think>

<response>-71, 90</response>


input: Perform a bubble sort on the integers 48, -46, -77, -95, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [48, -46, -77, -95]

Pass 1:
  Compare 48 and -46
  Swap 48 and -46
  List after swap: [-46, 48, -77, -95]
  Compare 48 and -77
  Swap 48 and -77
  List after swap: [-46, -77, 48, -95]
  Compare 48 and -95
  Swap 48 and -95
  List after swap: [-46, -77, -95, 48]

Pass 2:
  Compare -46 and -77
  Swap -46 and -77
  List after swap: [-77, -46, -95, 48]
  Compare -46 and -95
  Swap -46 and -95
  List after swap: [-77, -95, -46, 48]

Pass 3:
  Compare -77 and -95
  Swap -77 and -95
  List after swap: [-95, -77, -46, 48]

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

Final sorted list: [-95, -77, -46, 48]
</think>

<response>-95, -77, -46, 48</response>


input: Using the bubble sort method, sort -100, -62, 55, -82, 69, 62, 33, -86, 8 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-100, -62, 55, -82, 69, 62, 33, -86, 8]

Pass 1:
  Compare -100 and -62
  No swap needed
  Compare -62 and 55
  No swap needed
  Compare 55 and -82
  Swap 55 and -82
  List after swap: [-100, -62, -82, 55, 69, 62, 33, -86, 8]
  Compare 55 and 69
  No swap needed
  Compare 69 and 62
  Swap 69 and 62
  List after swap: [-100, -62, -82, 55, 62, 69, 33, -86, 8]
  Compare 69 and 33
  Swap 69 and 33
  List after swap: [-100, -62, -82, 55, 62, 33, 69, -86, 8]
  Compare 69 and -86
  Swap 69 and -86
  List after swap: [-100, -62, -82, 55, 62, 33, -86, 69, 8]
  Compare 69 and 8
  Swap 69 and 8
  List after swap: [-100, -62, -82, 55, 62, 33, -86, 8, 69]

Pass 2:
  Compare -100 and -62
  No swap needed
  Compare -62 and -82
  Swap -62 and -82
  List after swap: [-100, -82, -62, 55, 62, 33, -86, 8, 69]
  Compare -62 and 55
  No swap needed
  Compare 55 and 62
  No swap needed
  Compare 62 and 33
  Swap 62 and 33
  List after swap: [-100, -82, -62, 55, 33, 62, -86, 8, 69]
  Compare 62 and -86
  Swap 62 and -86
  List after swap: [-100, -82, -62, 55, 33, -86, 62, 8, 69]
  Compare 62 and 8
  Swap 62 and 8
  List after swap: [-100, -82, -62, 55, 33, -86, 8, 62, 69]

Pass 3:
  Compare -100 and -82
  No swap needed
  Compare -82 and -62
  No swap needed
  Compare -62 and 55
  No swap needed
  Compare 55 and 33
  Swap 55 and 33
  List after swap: [-100, -82, -62, 33, 55, -86, 8, 62, 69]
  Compare 55 and -86
  Swap 55 and -86
  List after swap: [-100, -82, -62, 33, -86, 55, 8, 62, 69]
  Compare 55 and 8
  Swap 55 and 8
  List after swap: [-100, -82, -62, 33, -86, 8, 55, 62, 69]

Pass 4:
  Compare -100 and -82
  No swap needed
  Compare -82 and -62
  No swap needed
  Compare -62 and 33
  No swap needed
  Compare 33 and -86
  Swap 33 and -86
  List after swap: [-100, -82, -62, -86, 33, 8, 55, 62, 69]
  Compare 33 and 8
  Swap 33 and 8
  List after swap: [-100, -82, -62, -86, 8, 33, 55, 62, 69]

Pass 5:
  Compare -100 and -82
  No swap needed
  Compare -82 and -62
  No swap needed
  Compare -62 and -86
  Swap -62 and -86
  List after swap: [-100, -82, -86, -62, 8, 33, 55, 62, 69]
  Compare -62 and 8
  No swap needed

Pass 6:
  Compare -100 and -82
  No swap needed
  Compare -82 and -86
  Swap -82 and -86
  List after swap: [-100, -86, -82, -62, 8, 33, 55, 62, 69]
  Compare -82 and -62
  No swap needed

Pass 7:
  Compare -100 and -86
  No swap needed
  Compare -86 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -86, -82, -62, 8, 33, 55, 62, 69]
</think>

<response>-100, -86, -82, -62, 8, 33, 55, 62, 69</response>


input: Carry out the bubble sort algorithm on 71, -77, -91, -51, 56, 7, 4, -42 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [71, -77, -91, -51, 56, 7, 4, -42]

Pass 1:
  Compare 71 and -77
  Swap 71 and -77
  List after swap: [-77, 71, -91, -51, 56, 7, 4, -42]
  Compare 71 and -91
  Swap 71 and -91
  List after swap: [-77, -91, 71, -51, 56, 7, 4, -42]
  Compare 71 and -51
  Swap 71 and -51
  List after swap: [-77, -91, -51, 71, 56, 7, 4, -42]
  Compare 71 and 56
  Swap 71 and 56
  List after swap: [-77, -91, -51, 56, 71, 7, 4, -42]
  Compare 71 and 7
  Swap 71 and 7
  List after swap: [-77, -91, -51, 56, 7, 71, 4, -42]
  Compare 71 and 4
  Swap 71 and 4
  List after swap: [-77, -91, -51, 56, 7, 4, 71, -42]
  Compare 71 and -42
  Swap 71 and -42
  List after swap: [-77, -91, -51, 56, 7, 4, -42, 71]

Pass 2:
  Compare -77 and -91
  Swap -77 and -91
  List after swap: [-91, -77, -51, 56, 7, 4, -42, 71]
  Compare -77 and -51
  No swap needed
  Compare -51 and 56
  No swap needed
  Compare 56 and 7
  Swap 56 and 7
  List after swap: [-91, -77, -51, 7, 56, 4, -42, 71]
  Compare 56 and 4
  Swap 56 and 4
  List after swap: [-91, -77, -51, 7, 4, 56, -42, 71]
  Compare 56 and -42
  Swap 56 and -42
  List after swap: [-91, -77, -51, 7, 4, -42, 56, 71]

Pass 3:
  Compare -91 and -77
  No swap needed
  Compare -77 and -51
  No swap needed
  Compare -51 and 7
  No swap needed
  Compare 7 and 4
  Swap 7 and 4
  List after swap: [-91, -77, -51, 4, 7, -42, 56, 71]
  Compare 7 and -42
  Swap 7 and -42
  List after swap: [-91, -77, -51, 4, -42, 7, 56, 71]

Pass 4:
  Compare -91 and -77
  No swap needed
  Compare -77 and -51
  No swap needed
  Compare -51 and 4
  No swap needed
  Compare 4 and -42
  Swap 4 and -42
  List after swap: [-91, -77, -51, -42, 4, 7, 56, 71]

Pass 5:
  Compare -91 and -77
  No swap needed
  Compare -77 and -51
  No swap needed
  Compare -51 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -77, -51, -42, 4, 7, 56, 71]
</think>

<response>-91, -77, -51, -42, 4, 7, 56, 71</response>


input: Sort the list 17, 62, 44, -75 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [17, 62, 44, -75]

Pass 1:
  Compare 17 and 62
  No swap needed
  Compare 62 and 44
  Swap 62 and 44
  List after swap: [17, 44, 62, -75]
  Compare 62 and -75
  Swap 62 and -75
  List after swap: [17, 44, -75, 62]

Pass 2:
  Compare 17 and 44
  No swap needed
  Compare 44 and -75
  Swap 44 and -75
  List after swap: [17, -75, 44, 62]

Pass 3:
  Compare 17 and -75
  Swap 17 and -75
  List after swap: [-75, 17, 44, 62]

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

Final sorted list: [-75, 17, 44, 62]
</think>

<response>-75, 17, 44, 62</response>


input: Use the bubble sort technique to reorder 58, -27, 30, 12, -29 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [58, -27, 30, 12, -29]

Pass 1:
  Compare 58 and -27
  Swap 58 and -27
  List after swap: [-27, 58, 30, 12, -29]
  Compare 58 and 30
  Swap 58 and 30
  List after swap: [-27, 30, 58, 12, -29]
  Compare 58 and 12
  Swap 58 and 12
  List after swap: [-27, 30, 12, 58, -29]
  Compare 58 and -29
  Swap 58 and -29
  List after swap: [-27, 30, 12, -29, 58]

Pass 2:
  Compare -27 and 30
  No swap needed
  Compare 30 and 12
  Swap 30 and 12
  List after swap: [-27, 12, 30, -29, 58]
  Compare 30 and -29
  Swap 30 and -29
  List after swap: [-27, 12, -29, 30, 58]

Pass 3:
  Compare -27 and 12
  No swap needed
  Compare 12 and -29
  Swap 12 and -29
  List after swap: [-27, -29, 12, 30, 58]

Pass 4:
  Compare -27 and -29
  Swap -27 and -29
  List after swap: [-29, -27, 12, 30, 58]

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

Final sorted list: [-29, -27, 12, 30, 58]
</think>

<response>-29, -27, 12, 30, 58</response>


input: Perform a bubble sort on the integers 61, 93, -82, 55, -51, 89, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [61, 93, -82, 55, -51, 89]

Pass 1:
  Compare 61 and 93
  No swap needed
  Compare 93 and -82
  Swap 93 and -82
  List after swap: [61, -82, 93, 55, -51, 89]
  Compare 93 and 55
  Swap 93 and 55
  List after swap: [61, -82, 55, 93, -51, 89]
  Compare 93 and -51
  Swap 93 and -51
  List after swap: [61, -82, 55, -51, 93, 89]
  Compare 93 and 89
  Swap 93 and 89
  List after swap: [61, -82, 55, -51, 89, 93]

Pass 2:
  Compare 61 and -82
  Swap 61 and -82
  List after swap: [-82, 61, 55, -51, 89, 93]
  Compare 61 and 55
  Swap 61 and 55
  List after swap: [-82, 55, 61, -51, 89, 93]
  Compare 61 and -51
  Swap 61 and -51
  List after swap: [-82, 55, -51, 61, 89, 93]
  Compare 61 and 89
  No swap needed

Pass 3:
  Compare -82 and 55
  No swap needed
  Compare 55 and -51
  Swap 55 and -51
  List after swap: [-82, -51, 55, 61, 89, 93]
  Compare 55 and 61
  No swap needed

Pass 4:
  Compare -82 and -51
  No swap needed
  Compare -51 and 55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -51, 55, 61, 89, 93]
</think>

<response>-82, -51, 55, 61, 89, 93</response>


input: Perform a bubble sort on the integers -27, -25, 81, -16, 22, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-27, -25, 81, -16, 22]

Pass 1:
  Compare -27 and -25
  No swap needed
  Compare -25 and 81
  No swap needed
  Compare 81 and -16
  Swap 81 and -16
  List after swap: [-27, -25, -16, 81, 22]
  Compare 81 and 22
  Swap 81 and 22
  List after swap: [-27, -25, -16, 22, 81]

Pass 2:
  Compare -27 and -25
  No swap needed
  Compare -25 and -16
  No swap needed
  Compare -16 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -25, -16, 22, 81]
</think>

<response>-27, -25, -16, 22, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 73, 41, -14.

output:
<think>
Initial list: [73, 41, -14]

Pass 1:
  Compare 73 and 41
  Swap 73 and 41
  List after swap: [41, 73, -14]
  Compare 73 and -14
  Swap 73 and -14
  List after swap: [41, -14, 73]

Pass 2:
  Compare 41 and -14
  Swap 41 and -14
  List after swap: [-14, 41, 73]

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

Final sorted list: [-14, 41, 73]
</think>

<response>-14, 41, 73</response>


input: Implement bubble sort on -47, 50, -63, -30, -76, 95, -61, 66, 20 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-47, 50, -63, -30, -76, 95, -61, 66, 20]

Pass 1:
  Compare -47 and 50
  No swap needed
  Compare 50 and -63
  Swap 50 and -63
  List after swap: [-47, -63, 50, -30, -76, 95, -61, 66, 20]
  Compare 50 and -30
  Swap 50 and -30
  List after swap: [-47, -63, -30, 50, -76, 95, -61, 66, 20]
  Compare 50 and -76
  Swap 50 and -76
  List after swap: [-47, -63, -30, -76, 50, 95, -61, 66, 20]
  Compare 50 and 95
  No swap needed
  Compare 95 and -61
  Swap 95 and -61
  List after swap: [-47, -63, -30, -76, 50, -61, 95, 66, 20]
  Compare 95 and 66
  Swap 95 and 66
  List after swap: [-47, -63, -30, -76, 50, -61, 66, 95, 20]
  Compare 95 and 20
  Swap 95 and 20
  List after swap: [-47, -63, -30, -76, 50, -61, 66, 20, 95]

Pass 2:
  Compare -47 and -63
  Swap -47 and -63
  List after swap: [-63, -47, -30, -76, 50, -61, 66, 20, 95]
  Compare -47 and -30
  No swap needed
  Compare -30 and -76
  Swap -30 and -76
  List after swap: [-63, -47, -76, -30, 50, -61, 66, 20, 95]
  Compare -30 and 50
  No swap needed
  Compare 50 and -61
  Swap 50 and -61
  List after swap: [-63, -47, -76, -30, -61, 50, 66, 20, 95]
  Compare 50 and 66
  No swap needed
  Compare 66 and 20
  Swap 66 and 20
  List after swap: [-63, -47, -76, -30, -61, 50, 20, 66, 95]

Pass 3:
  Compare -63 and -47
  No swap needed
  Compare -47 and -76
  Swap -47 and -76
  List after swap: [-63, -76, -47, -30, -61, 50, 20, 66, 95]
  Compare -47 and -30
  No swap needed
  Compare -30 and -61
  Swap -30 and -61
  List after swap: [-63, -76, -47, -61, -30, 50, 20, 66, 95]
  Compare -30 and 50
  No swap needed
  Compare 50 and 20
  Swap 50 and 20
  List after swap: [-63, -76, -47, -61, -30, 20, 50, 66, 95]

Pass 4:
  Compare -63 and -76
  Swap -63 and -76
  List after swap: [-76, -63, -47, -61, -30, 20, 50, 66, 95]
  Compare -63 and -47
  No swap needed
  Compare -47 and -61
  Swap -47 and -61
  List after swap: [-76, -63, -61, -47, -30, 20, 50, 66, 95]
  Compare -47 and -30
  No swap needed
  Compare -30 and 20
  No swap needed

Pass 5:
  Compare -76 and -63
  No swap needed
  Compare -63 and -61
  No swap needed
  Compare -61 and -47
  No swap needed
  Compare -47 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -63, -61, -47, -30, 20, 50, 66, 95]
</think>

<response>-76, -63, -61, -47, -30, 20, 50, 66, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -27, -22, -85, -46, 7, 34, 17, -55, 79, -70.

output:
<think>
Initial list: [-27, -22, -85, -46, 7, 34, 17, -55, 79, -70]

Pass 1:
  Compare -27 and -22
  No swap needed
  Compare -22 and -85
  Swap -22 and -85
  List after swap: [-27, -85, -22, -46, 7, 34, 17, -55, 79, -70]
  Compare -22 and -46
  Swap -22 and -46
  List after swap: [-27, -85, -46, -22, 7, 34, 17, -55, 79, -70]
  Compare -22 and 7
  No swap needed
  Compare 7 and 34
  No swap needed
  Compare 34 and 17
  Swap 34 and 17
  List after swap: [-27, -85, -46, -22, 7, 17, 34, -55, 79, -70]
  Compare 34 and -55
  Swap 34 and -55
  List after swap: [-27, -85, -46, -22, 7, 17, -55, 34, 79, -70]
  Compare 34 and 79
  No swap needed
  Compare 79 and -70
  Swap 79 and -70
  List after swap: [-27, -85, -46, -22, 7, 17, -55, 34, -70, 79]

Pass 2:
  Compare -27 and -85
  Swap -27 and -85
  List after swap: [-85, -27, -46, -22, 7, 17, -55, 34, -70, 79]
  Compare -27 and -46
  Swap -27 and -46
  List after swap: [-85, -46, -27, -22, 7, 17, -55, 34, -70, 79]
  Compare -27 and -22
  No swap needed
  Compare -22 and 7
  No swap needed
  Compare 7 and 17
  No swap needed
  Compare 17 and -55
  Swap 17 and -55
  List after swap: [-85, -46, -27, -22, 7, -55, 17, 34, -70, 79]
  Compare 17 and 34
  No swap needed
  Compare 34 and -70
  Swap 34 and -70
  List after swap: [-85, -46, -27, -22, 7, -55, 17, -70, 34, 79]

Pass 3:
  Compare -85 and -46
  No swap needed
  Compare -46 and -27
  No swap needed
  Compare -27 and -22
  No swap needed
  Compare -22 and 7
  No swap needed
  Compare 7 and -55
  Swap 7 and -55
  List after swap: [-85, -46, -27, -22, -55, 7, 17, -70, 34, 79]
  Compare 7 and 17
  No swap needed
  Compare 17 and -70
  Swap 17 and -70
  List after swap: [-85, -46, -27, -22, -55, 7, -70, 17, 34, 79]

Pass 4:
  Compare -85 and -46
  No swap needed
  Compare -46 and -27
  No swap needed
  Compare -27 and -22
  No swap needed
  Compare -22 and -55
  Swap -22 and -55
  List after swap: [-85, -46, -27, -55, -22, 7, -70, 17, 34, 79]
  Compare -22 and 7
  No swap needed
  Compare 7 and -70
  Swap 7 and -70
  List after swap: [-85, -46, -27, -55, -22, -70, 7, 17, 34, 79]

Pass 5:
  Compare -85 and -46
  No swap needed
  Compare -46 and -27
  No swap needed
  Compare -27 and -55
  Swap -27 and -55
  List after swap: [-85, -46, -55, -27, -22, -70, 7, 17, 34, 79]
  Compare -27 and -22
  No swap needed
  Compare -22 and -70
  Swap -22 and -70
  List after swap: [-85, -46, -55, -27, -70, -22, 7, 17, 34, 79]

Pass 6:
  Compare -85 and -46
  No swap needed
  Compare -46 and -55
  Swap -46 and -55
  List after swap: [-85, -55, -46, -27, -70, -22, 7, 17, 34, 79]
  Compare -46 and -27
  No swap needed
  Compare -27 and -70
  Swap -27 and -70
  List after swap: [-85, -55, -46, -70, -27, -22, 7, 17, 34, 79]

Pass 7:
  Compare -85 and -55
  No swap needed
  Compare -55 and -46
  No swap needed
  Compare -46 and -70
  Swap -46 and -70
  List after swap: [-85, -55, -70, -46, -27, -22, 7, 17, 34, 79]

Pass 8:
  Compare -85 and -55
  No swap needed
  Compare -55 and -70
  Swap -55 and -70
  List after swap: [-85, -70, -55, -46, -27, -22, 7, 17, 34, 79]

Pass 9:
  Compare -85 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -70, -55, -46, -27, -22, 7, 17, 34, 79]
</think>

<response>-85, -70, -55, -46, -27, -22, 7, 17, 34, 79</response>


input: Sort the list 40, -39, -32, -19, 90, 97 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [40, -39, -32, -19, 90, 97]

Pass 1:
  Compare 40 and -39
  Swap 40 and -39
  List after swap: [-39, 40, -32, -19, 90, 97]
  Compare 40 and -32
  Swap 40 and -32
  List after swap: [-39, -32, 40, -19, 90, 97]
  Compare 40 and -19
  Swap 40 and -19
  List after swap: [-39, -32, -19, 40, 90, 97]
  Compare 40 and 90
  No swap needed
  Compare 90 and 97
  No swap needed

Pass 2:
  Compare -39 and -32
  No swap needed
  Compare -32 and -19
  No swap needed
  Compare -19 and 40
  No swap needed
  Compare 40 and 90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -32, -19, 40, 90, 97]
</think>

<response>-39, -32, -19, 40, 90, 97</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 84, 14, 72, -68, 4, -14, 0, -38, -96, -43.

output:
<think>
Initial list: [84, 14, 72, -68, 4, -14, 0, -38, -96, -43]

Pass 1:
  Compare 84 and 14
  Swap 84 and 14
  List after swap: [14, 84, 72, -68, 4, -14, 0, -38, -96, -43]
  Compare 84 and 72
  Swap 84 and 72
  List after swap: [14, 72, 84, -68, 4, -14, 0, -38, -96, -43]
  Compare 84 and -68
  Swap 84 and -68
  List after swap: [14, 72, -68, 84, 4, -14, 0, -38, -96, -43]
  Compare 84 and 4
  Swap 84 and 4
  List after swap: [14, 72, -68, 4, 84, -14, 0, -38, -96, -43]
  Compare 84 and -14
  Swap 84 and -14
  List after swap: [14, 72, -68, 4, -14, 84, 0, -38, -96, -43]
  Compare 84 and 0
  Swap 84 and 0
  List after swap: [14, 72, -68, 4, -14, 0, 84, -38, -96, -43]
  Compare 84 and -38
  Swap 84 and -38
  List after swap: [14, 72, -68, 4, -14, 0, -38, 84, -96, -43]
  Compare 84 and -96
  Swap 84 and -96
  List after swap: [14, 72, -68, 4, -14, 0, -38, -96, 84, -43]
  Compare 84 and -43
  Swap 84 and -43
  List after swap: [14, 72, -68, 4, -14, 0, -38, -96, -43, 84]

Pass 2:
  Compare 14 and 72
  No swap needed
  Compare 72 and -68
  Swap 72 and -68
  List after swap: [14, -68, 72, 4, -14, 0, -38, -96, -43, 84]
  Compare 72 and 4
  Swap 72 and 4
  List after swap: [14, -68, 4, 72, -14, 0, -38, -96, -43, 84]
  Compare 72 and -14
  Swap 72 and -14
  List after swap: [14, -68, 4, -14, 72, 0, -38, -96, -43, 84]
  Compare 72 and 0
  Swap 72 and 0
  List after swap: [14, -68, 4, -14, 0, 72, -38, -96, -43, 84]
  Compare 72 and -38
  Swap 72 and -38
  List after swap: [14, -68, 4, -14, 0, -38, 72, -96, -43, 84]
  Compare 72 and -96
  Swap 72 and -96
  List after swap: [14, -68, 4, -14, 0, -38, -96, 72, -43, 84]
  Compare 72 and -43
  Swap 72 and -43
  List after swap: [14, -68, 4, -14, 0, -38, -96, -43, 72, 84]

Pass 3:
  Compare 14 and -68
  Swap 14 and -68
  List after swap: [-68, 14, 4, -14, 0, -38, -96, -43, 72, 84]
  Compare 14 and 4
  Swap 14 and 4
  List after swap: [-68, 4, 14, -14, 0, -38, -96, -43, 72, 84]
  Compare 14 and -14
  Swap 14 and -14
  List after swap: [-68, 4, -14, 14, 0, -38, -96, -43, 72, 84]
  Compare 14 and 0
  Swap 14 and 0
  List after swap: [-68, 4, -14, 0, 14, -38, -96, -43, 72, 84]
  Compare 14 and -38
  Swap 14 and -38
  List after swap: [-68, 4, -14, 0, -38, 14, -96, -43, 72, 84]
  Compare 14 and -96
  Swap 14 and -96
  List after swap: [-68, 4, -14, 0, -38, -96, 14, -43, 72, 84]
  Compare 14 and -43
  Swap 14 and -43
  List after swap: [-68, 4, -14, 0, -38, -96, -43, 14, 72, 84]

Pass 4:
  Compare -68 and 4
  No swap needed
  Compare 4 and -14
  Swap 4 and -14
  List after swap: [-68, -14, 4, 0, -38, -96, -43, 14, 72, 84]
  Compare 4 and 0
  Swap 4 and 0
  List after swap: [-68, -14, 0, 4, -38, -96, -43, 14, 72, 84]
  Compare 4 and -38
  Swap 4 and -38
  List after swap: [-68, -14, 0, -38, 4, -96, -43, 14, 72, 84]
  Compare 4 and -96
  Swap 4 and -96
  List after swap: [-68, -14, 0, -38, -96, 4, -43, 14, 72, 84]
  Compare 4 and -43
  Swap 4 and -43
  List after swap: [-68, -14, 0, -38, -96, -43, 4, 14, 72, 84]

Pass 5:
  Compare -68 and -14
  No swap needed
  Compare -14 and 0
  No swap needed
  Compare 0 and -38
  Swap 0 and -38
  List after swap: [-68, -14, -38, 0, -96, -43, 4, 14, 72, 84]
  Compare 0 and -96
  Swap 0 and -96
  List after swap: [-68, -14, -38, -96, 0, -43, 4, 14, 72, 84]
  Compare 0 and -43
  Swap 0 and -43
  List after swap: [-68, -14, -38, -96, -43, 0, 4, 14, 72, 84]

Pass 6:
  Compare -68 and -14
  No swap needed
  Compare -14 and -38
  Swap -14 and -38
  List after swap: [-68, -38, -14, -96, -43, 0, 4, 14, 72, 84]
  Compare -14 and -96
  Swap -14 and -96
  List after swap: [-68, -38, -96, -14, -43, 0, 4, 14, 72, 84]
  Compare -14 and -43
  Swap -14 and -43
  List after swap: [-68, -38, -96, -43, -14, 0, 4, 14, 72, 84]

Pass 7:
  Compare -68 and -38
  No swap needed
  Compare -38 and -96
  Swap -38 and -96
  List after swap: [-68, -96, -38, -43, -14, 0, 4, 14, 72, 84]
  Compare -38 and -43
  Swap -38 and -43
  List after swap: [-68, -96, -43, -38, -14, 0, 4, 14, 72, 84]

Pass 8:
  Compare -68 and -96
  Swap -68 and -96
  List after swap: [-96, -68, -43, -38, -14, 0, 4, 14, 72, 84]
  Compare -68 and -43
  No swap needed

Pass 9:
  Compare -96 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -68, -43, -38, -14, 0, 4, 14, 72, 84]
</think>

<response>-96, -68, -43, -38, -14, 0, 4, 14, 72, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -13, -63, -44, -39, 0, 8, -22, -83.

output:
<think>
Initial list: [-13, -63, -44, -39, 0, 8, -22, -83]

Pass 1:
  Compare -13 and -63
  Swap -13 and -63
  List after swap: [-63, -13, -44, -39, 0, 8, -22, -83]
  Compare -13 and -44
  Swap -13 and -44
  List after swap: [-63, -44, -13, -39, 0, 8, -22, -83]
  Compare -13 and -39
  Swap -13 and -39
  List after swap: [-63, -44, -39, -13, 0, 8, -22, -83]
  Compare -13 and 0
  No swap needed
  Compare 0 and 8
  No swap needed
  Compare 8 and -22
  Swap 8 and -22
  List after swap: [-63, -44, -39, -13, 0, -22, 8, -83]
  Compare 8 and -83
  Swap 8 and -83
  List after swap: [-63, -44, -39, -13, 0, -22, -83, 8]

Pass 2:
  Compare -63 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  Compare -39 and -13
  No swap needed
  Compare -13 and 0
  No swap needed
  Compare 0 and -22
  Swap 0 and -22
  List after swap: [-63, -44, -39, -13, -22, 0, -83, 8]
  Compare 0 and -83
  Swap 0 and -83
  List after swap: [-63, -44, -39, -13, -22, -83, 0, 8]

Pass 3:
  Compare -63 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  Compare -39 and -13
  No swap needed
  Compare -13 and -22
  Swap -13 and -22
  List after swap: [-63, -44, -39, -22, -13, -83, 0, 8]
  Compare -13 and -83
  Swap -13 and -83
  List after swap: [-63, -44, -39, -22, -83, -13, 0, 8]

Pass 4:
  Compare -63 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  Compare -39 and -22
  No swap needed
  Compare -22 and -83
  Swap -22 and -83
  List after swap: [-63, -44, -39, -83, -22, -13, 0, 8]

Pass 5:
  Compare -63 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  Compare -39 and -83
  Swap -39 and -83
  List after swap: [-63, -44, -83, -39, -22, -13, 0, 8]

Pass 6:
  Compare -63 and -44
  No swap needed
  Compare -44 and -83
  Swap -44 and -83
  List after swap: [-63, -83, -44, -39, -22, -13, 0, 8]

Pass 7:
  Compare -63 and -83
  Swap -63 and -83
  List after swap: [-83, -63, -44, -39, -22, -13, 0, 8]

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

Final sorted list: [-83, -63, -44, -39, -22, -13, 0, 8]
</think>

<response>-83, -63, -44, -39, -22, -13, 0, 8</response>


input: Carry out the bubble sort algorithm on -4, 45, 28, -81, -65, -87, -45, -49, 57 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-4, 45, 28, -81, -65, -87, -45, -49, 57]

Pass 1:
  Compare -4 and 45
  No swap needed
  Compare 45 and 28
  Swap 45 and 28
  List after swap: [-4, 28, 45, -81, -65, -87, -45, -49, 57]
  Compare 45 and -81
  Swap 45 and -81
  List after swap: [-4, 28, -81, 45, -65, -87, -45, -49, 57]
  Compare 45 and -65
  Swap 45 and -65
  List after swap: [-4, 28, -81, -65, 45, -87, -45, -49, 57]
  Compare 45 and -87
  Swap 45 and -87
  List after swap: [-4, 28, -81, -65, -87, 45, -45, -49, 57]
  Compare 45 and -45
  Swap 45 and -45
  List after swap: [-4, 28, -81, -65, -87, -45, 45, -49, 57]
  Compare 45 and -49
  Swap 45 and -49
  List after swap: [-4, 28, -81, -65, -87, -45, -49, 45, 57]
  Compare 45 and 57
  No swap needed

Pass 2:
  Compare -4 and 28
  No swap needed
  Compare 28 and -81
  Swap 28 and -81
  List after swap: [-4, -81, 28, -65, -87, -45, -49, 45, 57]
  Compare 28 and -65
  Swap 28 and -65
  List after swap: [-4, -81, -65, 28, -87, -45, -49, 45, 57]
  Compare 28 and -87
  Swap 28 and -87
  List after swap: [-4, -81, -65, -87, 28, -45, -49, 45, 57]
  Compare 28 and -45
  Swap 28 and -45
  List after swap: [-4, -81, -65, -87, -45, 28, -49, 45, 57]
  Compare 28 and -49
  Swap 28 and -49
  List after swap: [-4, -81, -65, -87, -45, -49, 28, 45, 57]
  Compare 28 and 45
  No swap needed

Pass 3:
  Compare -4 and -81
  Swap -4 and -81
  List after swap: [-81, -4, -65, -87, -45, -49, 28, 45, 57]
  Compare -4 and -65
  Swap -4 and -65
  List after swap: [-81, -65, -4, -87, -45, -49, 28, 45, 57]
  Compare -4 and -87
  Swap -4 and -87
  List after swap: [-81, -65, -87, -4, -45, -49, 28, 45, 57]
  Compare -4 and -45
  Swap -4 and -45
  List after swap: [-81, -65, -87, -45, -4, -49, 28, 45, 57]
  Compare -4 and -49
  Swap -4 and -49
  List after swap: [-81, -65, -87, -45, -49, -4, 28, 45, 57]
  Compare -4 and 28
  No swap needed

Pass 4:
  Compare -81 and -65
  No swap needed
  Compare -65 and -87
  Swap -65 and -87
  List after swap: [-81, -87, -65, -45, -49, -4, 28, 45, 57]
  Compare -65 and -45
  No swap needed
  Compare -45 and -49
  Swap -45 and -49
  List after swap: [-81, -87, -65, -49, -45, -4, 28, 45, 57]
  Compare -45 and -4
  No swap needed

Pass 5:
  Compare -81 and -87
  Swap -81 and -87
  List after swap: [-87, -81, -65, -49, -45, -4, 28, 45, 57]
  Compare -81 and -65
  No swap needed
  Compare -65 and -49
  No swap needed
  Compare -49 and -45
  No swap needed

Pass 6:
  Compare -87 and -81
  No swap needed
  Compare -81 and -65
  No swap needed
  Compare -65 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -81, -65, -49, -45, -4, 28, 45, 57]
</think>

<response>-87, -81, -65, -49, -45, -4, 28, 45, 57</response>


input: Execute bubble sort to sort -25, -59 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-25, -59]

Pass 1:
  Compare -25 and -59
  Swap -25 and -59
  List after swap: [-59, -25]

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

Final sorted list: [-59, -25]
</think>

<response>-59, -25</response>


input: Use the bubble sort technique to reorder -30, -67, -24, 49, 78, -79, 66, 73 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-30, -67, -24, 49, 78, -79, 66, 73]

Pass 1:
  Compare -30 and -67
  Swap -30 and -67
  List after swap: [-67, -30, -24, 49, 78, -79, 66, 73]
  Compare -30 and -24
  No swap needed
  Compare -24 and 49
  No swap needed
  Compare 49 and 78
  No swap needed
  Compare 78 and -79
  Swap 78 and -79
  List after swap: [-67, -30, -24, 49, -79, 78, 66, 73]
  Compare 78 and 66
  Swap 78 and 66
  List after swap: [-67, -30, -24, 49, -79, 66, 78, 73]
  Compare 78 and 73
  Swap 78 and 73
  List after swap: [-67, -30, -24, 49, -79, 66, 73, 78]

Pass 2:
  Compare -67 and -30
  No swap needed
  Compare -30 and -24
  No swap needed
  Compare -24 and 49
  No swap needed
  Compare 49 and -79
  Swap 49 and -79
  List after swap: [-67, -30, -24, -79, 49, 66, 73, 78]
  Compare 49 and 66
  No swap needed
  Compare 66 and 73
  No swap needed

Pass 3:
  Compare -67 and -30
  No swap needed
  Compare -30 and -24
  No swap needed
  Compare -24 and -79
  Swap -24 and -79
  List after swap: [-67, -30, -79, -24, 49, 66, 73, 78]
  Compare -24 and 49
  No swap needed
  Compare 49 and 66
  No swap needed

Pass 4:
  Compare -67 and -30
  No swap needed
  Compare -30 and -79
  Swap -30 and -79
  List after swap: [-67, -79, -30, -24, 49, 66, 73, 78]
  Compare -30 and -24
  No swap needed
  Compare -24 and 49
  No swap needed

Pass 5:
  Compare -67 and -79
  Swap -67 and -79
  List after swap: [-79, -67, -30, -24, 49, 66, 73, 78]
  Compare -67 and -30
  No swap needed
  Compare -30 and -24
  No swap needed

Pass 6:
  Compare -79 and -67
  No swap needed
  Compare -67 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -67, -30, -24, 49, 66, 73, 78]
</think>

<response>-79, -67, -30, -24, 49, 66, 73, 78</response>


input: Sort the list -41, 76, -25, 8 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-41, 76, -25, 8]

Pass 1:
  Compare -41 and 76
  No swap needed
  Compare 76 and -25
  Swap 76 and -25
  List after swap: [-41, -25, 76, 8]
  Compare 76 and 8
  Swap 76 and 8
  List after swap: [-41, -25, 8, 76]

Pass 2:
  Compare -41 and -25
  No swap needed
  Compare -25 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -25, 8, 76]
</think>

<response>-41, -25, 8, 76</response>


input: Perform a bubble sort on the integers 63, 60, 46, 81, -32, 42, -6, -16, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [63, 60, 46, 81, -32, 42, -6, -16]

Pass 1:
  Compare 63 and 60
  Swap 63 and 60
  List after swap: [60, 63, 46, 81, -32, 42, -6, -16]
  Compare 63 and 46
  Swap 63 and 46
  List after swap: [60, 46, 63, 81, -32, 42, -6, -16]
  Compare 63 and 81
  No swap needed
  Compare 81 and -32
  Swap 81 and -32
  List after swap: [60, 46, 63, -32, 81, 42, -6, -16]
  Compare 81 and 42
  Swap 81 and 42
  List after swap: [60, 46, 63, -32, 42, 81, -6, -16]
  Compare 81 and -6
  Swap 81 and -6
  List after swap: [60, 46, 63, -32, 42, -6, 81, -16]
  Compare 81 and -16
  Swap 81 and -16
  List after swap: [60, 46, 63, -32, 42, -6, -16, 81]

Pass 2:
  Compare 60 and 46
  Swap 60 and 46
  List after swap: [46, 60, 63, -32, 42, -6, -16, 81]
  Compare 60 and 63
  No swap needed
  Compare 63 and -32
  Swap 63 and -32
  List after swap: [46, 60, -32, 63, 42, -6, -16, 81]
  Compare 63 and 42
  Swap 63 and 42
  List after swap: [46, 60, -32, 42, 63, -6, -16, 81]
  Compare 63 and -6
  Swap 63 and -6
  List after swap: [46, 60, -32, 42, -6, 63, -16, 81]
  Compare 63 and -16
  Swap 63 and -16
  List after swap: [46, 60, -32, 42, -6, -16, 63, 81]

Pass 3:
  Compare 46 and 60
  No swap needed
  Compare 60 and -32
  Swap 60 and -32
  List after swap: [46, -32, 60, 42, -6, -16, 63, 81]
  Compare 60 and 42
  Swap 60 and 42
  List after swap: [46, -32, 42, 60, -6, -16, 63, 81]
  Compare 60 and -6
  Swap 60 and -6
  List after swap: [46, -32, 42, -6, 60, -16, 63, 81]
  Compare 60 and -16
  Swap 60 and -16
  List after swap: [46, -32, 42, -6, -16, 60, 63, 81]

Pass 4:
  Compare 46 and -32
  Swap 46 and -32
  List after swap: [-32, 46, 42, -6, -16, 60, 63, 81]
  Compare 46 and 42
  Swap 46 and 42
  List after swap: [-32, 42, 46, -6, -16, 60, 63, 81]
  Compare 46 and -6
  Swap 46 and -6
  List after swap: [-32, 42, -6, 46, -16, 60, 63, 81]
  Compare 46 and -16
  Swap 46 and -16
  List after swap: [-32, 42, -6, -16, 46, 60, 63, 81]

Pass 5:
  Compare -32 and 42
  No swap needed
  Compare 42 and -6
  Swap 42 and -6
  List after swap: [-32, -6, 42, -16, 46, 60, 63, 81]
  Compare 42 and -16
  Swap 42 and -16
  List after swap: [-32, -6, -16, 42, 46, 60, 63, 81]

Pass 6:
  Compare -32 and -6
  No swap needed
  Compare -6 and -16
  Swap -6 and -16
  List after swap: [-32, -16, -6, 42, 46, 60, 63, 81]

Pass 7:
  Compare -32 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -16, -6, 42, 46, 60, 63, 81]
</think>

<response>-32, -16, -6, 42, 46, 60, 63, 81</response>


input: Using the bubble sort method, sort -65, -76, 57, -35, -80, -100, 71 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-65, -76, 57, -35, -80, -100, 71]

Pass 1:
  Compare -65 and -76
  Swap -65 and -76
  List after swap: [-76, -65, 57, -35, -80, -100, 71]
  Compare -65 and 57
  No swap needed
  Compare 57 and -35
  Swap 57 and -35
  List after swap: [-76, -65, -35, 57, -80, -100, 71]
  Compare 57 and -80
  Swap 57 and -80
  List after swap: [-76, -65, -35, -80, 57, -100, 71]
  Compare 57 and -100
  Swap 57 and -100
  List after swap: [-76, -65, -35, -80, -100, 57, 71]
  Compare 57 and 71
  No swap needed

Pass 2:
  Compare -76 and -65
  No swap needed
  Compare -65 and -35
  No swap needed
  Compare -35 and -80
  Swap -35 and -80
  List after swap: [-76, -65, -80, -35, -100, 57, 71]
  Compare -35 and -100
  Swap -35 and -100
  List after swap: [-76, -65, -80, -100, -35, 57, 71]
  Compare -35 and 57
  No swap needed

Pass 3:
  Compare -76 and -65
  No swap needed
  Compare -65 and -80
  Swap -65 and -80
  List after swap: [-76, -80, -65, -100, -35, 57, 71]
  Compare -65 and -100
  Swap -65 and -100
  List after swap: [-76, -80, -100, -65, -35, 57, 71]
  Compare -65 and -35
  No swap needed

Pass 4:
  Compare -76 and -80
  Swap -76 and -80
  List after swap: [-80, -76, -100, -65, -35, 57, 71]
  Compare -76 and -100
  Swap -76 and -100
  List after swap: [-80, -100, -76, -65, -35, 57, 71]
  Compare -76 and -65
  No swap needed

Pass 5:
  Compare -80 and -100
  Swap -80 and -100
  List after swap: [-100, -80, -76, -65, -35, 57, 71]
  Compare -80 and -76
  No swap needed

Pass 6:
  Compare -100 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -80, -76, -65, -35, 57, 71]
</think>

<response>-100, -80, -76, -65, -35, 57, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 8, 50, 18, -34.

output:
<think>
Initial list: [8, 50, 18, -34]

Pass 1:
  Compare 8 and 50
  No swap needed
  Compare 50 and 18
  Swap 50 and 18
  List after swap: [8, 18, 50, -34]
  Compare 50 and -34
  Swap 50 and -34
  List after swap: [8, 18, -34, 50]

Pass 2:
  Compare 8 and 18
  No swap needed
  Compare 18 and -34
  Swap 18 and -34
  List after swap: [8, -34, 18, 50]

Pass 3:
  Compare 8 and -34
  Swap 8 and -34
  List after swap: [-34, 8, 18, 50]

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

Final sorted list: [-34, 8, 18, 50]
</think>

<response>-34, 8, 18, 50</response>


input: Use the bubble sort technique to reorder -61, -58, 35, 71, -13, -7, -96, -73, 40, -11 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-61, -58, 35, 71, -13, -7, -96, -73, 40, -11]

Pass 1:
  Compare -61 and -58
  No swap needed
  Compare -58 and 35
  No swap needed
  Compare 35 and 71
  No swap needed
  Compare 71 and -13
  Swap 71 and -13
  List after swap: [-61, -58, 35, -13, 71, -7, -96, -73, 40, -11]
  Compare 71 and -7
  Swap 71 and -7
  List after swap: [-61, -58, 35, -13, -7, 71, -96, -73, 40, -11]
  Compare 71 and -96
  Swap 71 and -96
  List after swap: [-61, -58, 35, -13, -7, -96, 71, -73, 40, -11]
  Compare 71 and -73
  Swap 71 and -73
  List after swap: [-61, -58, 35, -13, -7, -96, -73, 71, 40, -11]
  Compare 71 and 40
  Swap 71 and 40
  List after swap: [-61, -58, 35, -13, -7, -96, -73, 40, 71, -11]
  Compare 71 and -11
  Swap 71 and -11
  List after swap: [-61, -58, 35, -13, -7, -96, -73, 40, -11, 71]

Pass 2:
  Compare -61 and -58
  No swap needed
  Compare -58 and 35
  No swap needed
  Compare 35 and -13
  Swap 35 and -13
  List after swap: [-61, -58, -13, 35, -7, -96, -73, 40, -11, 71]
  Compare 35 and -7
  Swap 35 and -7
  List after swap: [-61, -58, -13, -7, 35, -96, -73, 40, -11, 71]
  Compare 35 and -96
  Swap 35 and -96
  List after swap: [-61, -58, -13, -7, -96, 35, -73, 40, -11, 71]
  Compare 35 and -73
  Swap 35 and -73
  List after swap: [-61, -58, -13, -7, -96, -73, 35, 40, -11, 71]
  Compare 35 and 40
  No swap needed
  Compare 40 and -11
  Swap 40 and -11
  List after swap: [-61, -58, -13, -7, -96, -73, 35, -11, 40, 71]

Pass 3:
  Compare -61 and -58
  No swap needed
  Compare -58 and -13
  No swap needed
  Compare -13 and -7
  No swap needed
  Compare -7 and -96
  Swap -7 and -96
  List after swap: [-61, -58, -13, -96, -7, -73, 35, -11, 40, 71]
  Compare -7 and -73
  Swap -7 and -73
  List after swap: [-61, -58, -13, -96, -73, -7, 35, -11, 40, 71]
  Compare -7 and 35
  No swap needed
  Compare 35 and -11
  Swap 35 and -11
  List after swap: [-61, -58, -13, -96, -73, -7, -11, 35, 40, 71]

Pass 4:
  Compare -61 and -58
  No swap needed
  Compare -58 and -13
  No swap needed
  Compare -13 and -96
  Swap -13 and -96
  List after swap: [-61, -58, -96, -13, -73, -7, -11, 35, 40, 71]
  Compare -13 and -73
  Swap -13 and -73
  List after swap: [-61, -58, -96, -73, -13, -7, -11, 35, 40, 71]
  Compare -13 and -7
  No swap needed
  Compare -7 and -11
  Swap -7 and -11
  List after swap: [-61, -58, -96, -73, -13, -11, -7, 35, 40, 71]

Pass 5:
  Compare -61 and -58
  No swap needed
  Compare -58 and -96
  Swap -58 and -96
  List after swap: [-61, -96, -58, -73, -13, -11, -7, 35, 40, 71]
  Compare -58 and -73
  Swap -58 and -73
  List after swap: [-61, -96, -73, -58, -13, -11, -7, 35, 40, 71]
  Compare -58 and -13
  No swap needed
  Compare -13 and -11
  No swap needed

Pass 6:
  Compare -61 and -96
  Swap -61 and -96
  List after swap: [-96, -61, -73, -58, -13, -11, -7, 35, 40, 71]
  Compare -61 and -73
  Swap -61 and -73
  List after swap: [-96, -73, -61, -58, -13, -11, -7, 35, 40, 71]
  Compare -61 and -58
  No swap needed
  Compare -58 and -13
  No swap needed

Pass 7:
  Compare -96 and -73
  No swap needed
  Compare -73 and -61
  No swap needed
  Compare -61 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -73, -61, -58, -13, -11, -7, 35, 40, 71]
</think>

<response>-96, -73, -61, -58, -13, -11, -7, 35, 40, 71</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -48, 70, -39.

output:
<think>
Initial list: [-48, 70, -39]

Pass 1:
  Compare -48 and 70
  No swap needed
  Compare 70 and -39
  Swap 70 and -39
  List after swap: [-48, -39, 70]

Pass 2:
  Compare -48 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -39, 70]
</think>

<response>-48, -39, 70</response>


input: Perform a bubble sort on the integers 22, 94, 75, 70, -64, 47, -30, -5, 25, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [22, 94, 75, 70, -64, 47, -30, -5, 25]

Pass 1:
  Compare 22 and 94
  No swap needed
  Compare 94 and 75
  Swap 94 and 75
  List after swap: [22, 75, 94, 70, -64, 47, -30, -5, 25]
  Compare 94 and 70
  Swap 94 and 70
  List after swap: [22, 75, 70, 94, -64, 47, -30, -5, 25]
  Compare 94 and -64
  Swap 94 and -64
  List after swap: [22, 75, 70, -64, 94, 47, -30, -5, 25]
  Compare 94 and 47
  Swap 94 and 47
  List after swap: [22, 75, 70, -64, 47, 94, -30, -5, 25]
  Compare 94 and -30
  Swap 94 and -30
  List after swap: [22, 75, 70, -64, 47, -30, 94, -5, 25]
  Compare 94 and -5
  Swap 94 and -5
  List after swap: [22, 75, 70, -64, 47, -30, -5, 94, 25]
  Compare 94 and 25
  Swap 94 and 25
  List after swap: [22, 75, 70, -64, 47, -30, -5, 25, 94]

Pass 2:
  Compare 22 and 75
  No swap needed
  Compare 75 and 70
  Swap 75 and 70
  List after swap: [22, 70, 75, -64, 47, -30, -5, 25, 94]
  Compare 75 and -64
  Swap 75 and -64
  List after swap: [22, 70, -64, 75, 47, -30, -5, 25, 94]
  Compare 75 and 47
  Swap 75 and 47
  List after swap: [22, 70, -64, 47, 75, -30, -5, 25, 94]
  Compare 75 and -30
  Swap 75 and -30
  List after swap: [22, 70, -64, 47, -30, 75, -5, 25, 94]
  Compare 75 and -5
  Swap 75 and -5
  List after swap: [22, 70, -64, 47, -30, -5, 75, 25, 94]
  Compare 75 and 25
  Swap 75 and 25
  List after swap: [22, 70, -64, 47, -30, -5, 25, 75, 94]

Pass 3:
  Compare 22 and 70
  No swap needed
  Compare 70 and -64
  Swap 70 and -64
  List after swap: [22, -64, 70, 47, -30, -5, 25, 75, 94]
  Compare 70 and 47
  Swap 70 and 47
  List after swap: [22, -64, 47, 70, -30, -5, 25, 75, 94]
  Compare 70 and -30
  Swap 70 and -30
  List after swap: [22, -64, 47, -30, 70, -5, 25, 75, 94]
  Compare 70 and -5
  Swap 70 and -5
  List after swap: [22, -64, 47, -30, -5, 70, 25, 75, 94]
  Compare 70 and 25
  Swap 70 and 25
  List after swap: [22, -64, 47, -30, -5, 25, 70, 75, 94]

Pass 4:
  Compare 22 and -64
  Swap 22 and -64
  List after swap: [-64, 22, 47, -30, -5, 25, 70, 75, 94]
  Compare 22 and 47
  No swap needed
  Compare 47 and -30
  Swap 47 and -30
  List after swap: [-64, 22, -30, 47, -5, 25, 70, 75, 94]
  Compare 47 and -5
  Swap 47 and -5
  List after swap: [-64, 22, -30, -5, 47, 25, 70, 75, 94]
  Compare 47 and 25
  Swap 47 and 25
  List after swap: [-64, 22, -30, -5, 25, 47, 70, 75, 94]

Pass 5:
  Compare -64 and 22
  No swap needed
  Compare 22 and -30
  Swap 22 and -30
  List after swap: [-64, -30, 22, -5, 25, 47, 70, 75, 94]
  Compare 22 and -5
  Swap 22 and -5
  List after swap: [-64, -30, -5, 22, 25, 47, 70, 75, 94]
  Compare 22 and 25
  No swap needed

Pass 6:
  Compare -64 and -30
  No swap needed
  Compare -30 and -5
  No swap needed
  Compare -5 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -30, -5, 22, 25, 47, 70, 75, 94]
</think>

<response>-64, -30, -5, 22, 25, 47, 70, 75, 94</response>


input: Sort the list -64, -68, 0, 70, 67, 97, 78 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-64, -68, 0, 70, 67, 97, 78]

Pass 1:
  Compare -64 and -68
  Swap -64 and -68
  List after swap: [-68, -64, 0, 70, 67, 97, 78]
  Compare -64 and 0
  No swap needed
  Compare 0 and 70
  No swap needed
  Compare 70 and 67
  Swap 70 and 67
  List after swap: [-68, -64, 0, 67, 70, 97, 78]
  Compare 70 and 97
  No swap needed
  Compare 97 and 78
  Swap 97 and 78
  List after swap: [-68, -64, 0, 67, 70, 78, 97]

Pass 2:
  Compare -68 and -64
  No swap needed
  Compare -64 and 0
  No swap needed
  Compare 0 and 67
  No swap needed
  Compare 67 and 70
  No swap needed
  Compare 70 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -64, 0, 67, 70, 78, 97]
</think>

<response>-68, -64, 0, 67, 70, 78, 97</response>


input: Perform a bubble sort on the integers -19, 74, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-19, 74]

Pass 1:
  Compare -19 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-19, 74]
</think>

<response>-19, 74</response>


input: Carry out the bubble sort algorithm on 30, -98, 12, 66, -1, 4 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [30, -98, 12, 66, -1, 4]

Pass 1:
  Compare 30 and -98
  Swap 30 and -98
  List after swap: [-98, 30, 12, 66, -1, 4]
  Compare 30 and 12
  Swap 30 and 12
  List after swap: [-98, 12, 30, 66, -1, 4]
  Compare 30 and 66
  No swap needed
  Compare 66 and -1
  Swap 66 and -1
  List after swap: [-98, 12, 30, -1, 66, 4]
  Compare 66 and 4
  Swap 66 and 4
  List after swap: [-98, 12, 30, -1, 4, 66]

Pass 2:
  Compare -98 and 12
  No swap needed
  Compare 12 and 30
  No swap needed
  Compare 30 and -1
  Swap 30 and -1
  List after swap: [-98, 12, -1, 30, 4, 66]
  Compare 30 and 4
  Swap 30 and 4
  List after swap: [-98, 12, -1, 4, 30, 66]

Pass 3:
  Compare -98 and 12
  No swap needed
  Compare 12 and -1
  Swap 12 and -1
  List after swap: [-98, -1, 12, 4, 30, 66]
  Compare 12 and 4
  Swap 12 and 4
  List after swap: [-98, -1, 4, 12, 30, 66]

Pass 4:
  Compare -98 and -1
  No swap needed
  Compare -1 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -1, 4, 12, 30, 66]
</think>

<response>-98, -1, 4, 12, 30, 66</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 91, 33, -48, 10, -45, -62, 70, 17, -8, -69.

output:
<think>
Initial list: [91, 33, -48, 10, -45, -62, 70, 17, -8, -69]

Pass 1:
  Compare 91 and 33
  Swap 91 and 33
  List after swap: [33, 91, -48, 10, -45, -62, 70, 17, -8, -69]
  Compare 91 and -48
  Swap 91 and -48
  List after swap: [33, -48, 91, 10, -45, -62, 70, 17, -8, -69]
  Compare 91 and 10
  Swap 91 and 10
  List after swap: [33, -48, 10, 91, -45, -62, 70, 17, -8, -69]
  Compare 91 and -45
  Swap 91 and -45
  List after swap: [33, -48, 10, -45, 91, -62, 70, 17, -8, -69]
  Compare 91 and -62
  Swap 91 and -62
  List after swap: [33, -48, 10, -45, -62, 91, 70, 17, -8, -69]
  Compare 91 and 70
  Swap 91 and 70
  List after swap: [33, -48, 10, -45, -62, 70, 91, 17, -8, -69]
  Compare 91 and 17
  Swap 91 and 17
  List after swap: [33, -48, 10, -45, -62, 70, 17, 91, -8, -69]
  Compare 91 and -8
  Swap 91 and -8
  List after swap: [33, -48, 10, -45, -62, 70, 17, -8, 91, -69]
  Compare 91 and -69
  Swap 91 and -69
  List after swap: [33, -48, 10, -45, -62, 70, 17, -8, -69, 91]

Pass 2:
  Compare 33 and -48
  Swap 33 and -48
  List after swap: [-48, 33, 10, -45, -62, 70, 17, -8, -69, 91]
  Compare 33 and 10
  Swap 33 and 10
  List after swap: [-48, 10, 33, -45, -62, 70, 17, -8, -69, 91]
  Compare 33 and -45
  Swap 33 and -45
  List after swap: [-48, 10, -45, 33, -62, 70, 17, -8, -69, 91]
  Compare 33 and -62
  Swap 33 and -62
  List after swap: [-48, 10, -45, -62, 33, 70, 17, -8, -69, 91]
  Compare 33 and 70
  No swap needed
  Compare 70 and 17
  Swap 70 and 17
  List after swap: [-48, 10, -45, -62, 33, 17, 70, -8, -69, 91]
  Compare 70 and -8
  Swap 70 and -8
  List after swap: [-48, 10, -45, -62, 33, 17, -8, 70, -69, 91]
  Compare 70 and -69
  Swap 70 and -69
  List after swap: [-48, 10, -45, -62, 33, 17, -8, -69, 70, 91]

Pass 3:
  Compare -48 and 10
  No swap needed
  Compare 10 and -45
  Swap 10 and -45
  List after swap: [-48, -45, 10, -62, 33, 17, -8, -69, 70, 91]
  Compare 10 and -62
  Swap 10 and -62
  List after swap: [-48, -45, -62, 10, 33, 17, -8, -69, 70, 91]
  Compare 10 and 33
  No swap needed
  Compare 33 and 17
  Swap 33 and 17
  List after swap: [-48, -45, -62, 10, 17, 33, -8, -69, 70, 91]
  Compare 33 and -8
  Swap 33 and -8
  List after swap: [-48, -45, -62, 10, 17, -8, 33, -69, 70, 91]
  Compare 33 and -69
  Swap 33 and -69
  List after swap: [-48, -45, -62, 10, 17, -8, -69, 33, 70, 91]

Pass 4:
  Compare -48 and -45
  No swap needed
  Compare -45 and -62
  Swap -45 and -62
  List after swap: [-48, -62, -45, 10, 17, -8, -69, 33, 70, 91]
  Compare -45 and 10
  No swap needed
  Compare 10 and 17
  No swap needed
  Compare 17 and -8
  Swap 17 and -8
  List after swap: [-48, -62, -45, 10, -8, 17, -69, 33, 70, 91]
  Compare 17 and -69
  Swap 17 and -69
  List after swap: [-48, -62, -45, 10, -8, -69, 17, 33, 70, 91]

Pass 5:
  Compare -48 and -62
  Swap -48 and -62
  List after swap: [-62, -48, -45, 10, -8, -69, 17, 33, 70, 91]
  Compare -48 and -45
  No swap needed
  Compare -45 and 10
  No swap needed
  Compare 10 and -8
  Swap 10 and -8
  List after swap: [-62, -48, -45, -8, 10, -69, 17, 33, 70, 91]
  Compare 10 and -69
  Swap 10 and -69
  List after swap: [-62, -48, -45, -8, -69, 10, 17, 33, 70, 91]

Pass 6:
  Compare -62 and -48
  No swap needed
  Compare -48 and -45
  No swap needed
  Compare -45 and -8
  No swap needed
  Compare -8 and -69
  Swap -8 and -69
  List after swap: [-62, -48, -45, -69, -8, 10, 17, 33, 70, 91]

Pass 7:
  Compare -62 and -48
  No swap needed
  Compare -48 and -45
  No swap needed
  Compare -45 and -69
  Swap -45 and -69
  List after swap: [-62, -48, -69, -45, -8, 10, 17, 33, 70, 91]

Pass 8:
  Compare -62 and -48
  No swap needed
  Compare -48 and -69
  Swap -48 and -69
  List after swap: [-62, -69, -48, -45, -8, 10, 17, 33, 70, 91]

Pass 9:
  Compare -62 and -69
  Swap -62 and -69
  List after swap: [-69, -62, -48, -45, -8, 10, 17, 33, 70, 91]

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

Final sorted list: [-69, -62, -48, -45, -8, 10, 17, 33, 70, 91]
</think>

<response>-69, -62, -48, -45, -8, 10, 17, 33, 70, 91</response>


input: Using the bubble sort method, sort -17, 88 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-17, 88]

Pass 1:
  Compare -17 and 88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-17, 88]
</think>

<response>-17, 88</response>


input: Implement bubble sort on -43, -32, 83, -20, -67, -12 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-43, -32, 83, -20, -67, -12]

Pass 1:
  Compare -43 and -32
  No swap needed
  Compare -32 and 83
  No swap needed
  Compare 83 and -20
  Swap 83 and -20
  List after swap: [-43, -32, -20, 83, -67, -12]
  Compare 83 and -67
  Swap 83 and -67
  List after swap: [-43, -32, -20, -67, 83, -12]
  Compare 83 and -12
  Swap 83 and -12
  List after swap: [-43, -32, -20, -67, -12, 83]

Pass 2:
  Compare -43 and -32
  No swap needed
  Compare -32 and -20
  No swap needed
  Compare -20 and -67
  Swap -20 and -67
  List after swap: [-43, -32, -67, -20, -12, 83]
  Compare -20 and -12
  No swap needed

Pass 3:
  Compare -43 and -32
  No swap needed
  Compare -32 and -67
  Swap -32 and -67
  List after swap: [-43, -67, -32, -20, -12, 83]
  Compare -32 and -20
  No swap needed

Pass 4:
  Compare -43 and -67
  Swap -43 and -67
  List after swap: [-67, -43, -32, -20, -12, 83]
  Compare -43 and -32
  No swap needed

Pass 5:
  Compare -67 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -43, -32, -20, -12, 83]
</think>

<response>-67, -43, -32, -20, -12, 83</response>


input: Arrange the numbers 22, -19, -79, 38 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [22, -19, -79, 38]

Pass 1:
  Compare 22 and -19
  Swap 22 and -19
  List after swap: [-19, 22, -79, 38]
  Compare 22 and -79
  Swap 22 and -79
  List after swap: [-19, -79, 22, 38]
  Compare 22 and 38
  No swap needed

Pass 2:
  Compare -19 and -79
  Swap -19 and -79
  List after swap: [-79, -19, 22, 38]
  Compare -19 and 22
  No swap needed

Pass 3:
  Compare -79 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -19, 22, 38]
</think>

<response>-79, -19, 22, 38</response>


input: Sort the list 71, -47, 96, -75, -19, -81 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [71, -47, 96, -75, -19, -81]

Pass 1:
  Compare 71 and -47
  Swap 71 and -47
  List after swap: [-47, 71, 96, -75, -19, -81]
  Compare 71 and 96
  No swap needed
  Compare 96 and -75
  Swap 96 and -75
  List after swap: [-47, 71, -75, 96, -19, -81]
  Compare 96 and -19
  Swap 96 and -19
  List after swap: [-47, 71, -75, -19, 96, -81]
  Compare 96 and -81
  Swap 96 and -81
  List after swap: [-47, 71, -75, -19, -81, 96]

Pass 2:
  Compare -47 and 71
  No swap needed
  Compare 71 and -75
  Swap 71 and -75
  List after swap: [-47, -75, 71, -19, -81, 96]
  Compare 71 and -19
  Swap 71 and -19
  List after swap: [-47, -75, -19, 71, -81, 96]
  Compare 71 and -81
  Swap 71 and -81
  List after swap: [-47, -75, -19, -81, 71, 96]

Pass 3:
  Compare -47 and -75
  Swap -47 and -75
  List after swap: [-75, -47, -19, -81, 71, 96]
  Compare -47 and -19
  No swap needed
  Compare -19 and -81
  Swap -19 and -81
  List after swap: [-75, -47, -81, -19, 71, 96]

Pass 4:
  Compare -75 and -47
  No swap needed
  Compare -47 and -81
  Swap -47 and -81
  List after swap: [-75, -81, -47, -19, 71, 96]

Pass 5:
  Compare -75 and -81
  Swap -75 and -81
  List after swap: [-81, -75, -47, -19, 71, 96]

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

Final sorted list: [-81, -75, -47, -19, 71, 96]
</think>

<response>-81, -75, -47, -19, 71, 96</response>


input: Sort the list 26, -4, -31, -3 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [26, -4, -31, -3]

Pass 1:
  Compare 26 and -4
  Swap 26 and -4
  List after swap: [-4, 26, -31, -3]
  Compare 26 and -31
  Swap 26 and -31
  List after swap: [-4, -31, 26, -3]
  Compare 26 and -3
  Swap 26 and -3
  List after swap: [-4, -31, -3, 26]

Pass 2:
  Compare -4 and -31
  Swap -4 and -31
  List after swap: [-31, -4, -3, 26]
  Compare -4 and -3
  No swap needed

Pass 3:
  Compare -31 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -4, -3, 26]
</think>

<response>-31, -4, -3, 26</response>


input: Using the bubble sort method, sort -4, -84, 96, 8, -51, 12, -89, 16, 1, 61 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-4, -84, 96, 8, -51, 12, -89, 16, 1, 61]

Pass 1:
  Compare -4 and -84
  Swap -4 and -84
  List after swap: [-84, -4, 96, 8, -51, 12, -89, 16, 1, 61]
  Compare -4 and 96
  No swap needed
  Compare 96 and 8
  Swap 96 and 8
  List after swap: [-84, -4, 8, 96, -51, 12, -89, 16, 1, 61]
  Compare 96 and -51
  Swap 96 and -51
  List after swap: [-84, -4, 8, -51, 96, 12, -89, 16, 1, 61]
  Compare 96 and 12
  Swap 96 and 12
  List after swap: [-84, -4, 8, -51, 12, 96, -89, 16, 1, 61]
  Compare 96 and -89
  Swap 96 and -89
  List after swap: [-84, -4, 8, -51, 12, -89, 96, 16, 1, 61]
  Compare 96 and 16
  Swap 96 and 16
  List after swap: [-84, -4, 8, -51, 12, -89, 16, 96, 1, 61]
  Compare 96 and 1
  Swap 96 and 1
  List after swap: [-84, -4, 8, -51, 12, -89, 16, 1, 96, 61]
  Compare 96 and 61
  Swap 96 and 61
  List after swap: [-84, -4, 8, -51, 12, -89, 16, 1, 61, 96]

Pass 2:
  Compare -84 and -4
  No swap needed
  Compare -4 and 8
  No swap needed
  Compare 8 and -51
  Swap 8 and -51
  List after swap: [-84, -4, -51, 8, 12, -89, 16, 1, 61, 96]
  Compare 8 and 12
  No swap needed
  Compare 12 and -89
  Swap 12 and -89
  List after swap: [-84, -4, -51, 8, -89, 12, 16, 1, 61, 96]
  Compare 12 and 16
  No swap needed
  Compare 16 and 1
  Swap 16 and 1
  List after swap: [-84, -4, -51, 8, -89, 12, 1, 16, 61, 96]
  Compare 16 and 61
  No swap needed

Pass 3:
  Compare -84 and -4
  No swap needed
  Compare -4 and -51
  Swap -4 and -51
  List after swap: [-84, -51, -4, 8, -89, 12, 1, 16, 61, 96]
  Compare -4 and 8
  No swap needed
  Compare 8 and -89
  Swap 8 and -89
  List after swap: [-84, -51, -4, -89, 8, 12, 1, 16, 61, 96]
  Compare 8 and 12
  No swap needed
  Compare 12 and 1
  Swap 12 and 1
  List after swap: [-84, -51, -4, -89, 8, 1, 12, 16, 61, 96]
  Compare 12 and 16
  No swap needed

Pass 4:
  Compare -84 and -51
  No swap needed
  Compare -51 and -4
  No swap needed
  Compare -4 and -89
  Swap -4 and -89
  List after swap: [-84, -51, -89, -4, 8, 1, 12, 16, 61, 96]
  Compare -4 and 8
  No swap needed
  Compare 8 and 1
  Swap 8 and 1
  List after swap: [-84, -51, -89, -4, 1, 8, 12, 16, 61, 96]
  Compare 8 and 12
  No swap needed

Pass 5:
  Compare -84 and -51
  No swap needed
  Compare -51 and -89
  Swap -51 and -89
  List after swap: [-84, -89, -51, -4, 1, 8, 12, 16, 61, 96]
  Compare -51 and -4
  No swap needed
  Compare -4 and 1
  No swap needed
  Compare 1 and 8
  No swap needed

Pass 6:
  Compare -84 and -89
  Swap -84 and -89
  List after swap: [-89, -84, -51, -4, 1, 8, 12, 16, 61, 96]
  Compare -84 and -51
  No swap needed
  Compare -51 and -4
  No swap needed
  Compare -4 and 1
  No swap needed

Pass 7:
  Compare -89 and -84
  No swap needed
  Compare -84 and -51
  No swap needed
  Compare -51 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -84, -51, -4, 1, 8, 12, 16, 61, 96]
</think>

<response>-89, -84, -51, -4, 1, 8, 12, 16, 61, 96</response>


input: Arrange the numbers 44, 1, 21 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [44, 1, 21]

Pass 1:
  Compare 44 and 1
  Swap 44 and 1
  List after swap: [1, 44, 21]
  Compare 44 and 21
  Swap 44 and 21
  List after swap: [1, 21, 44]

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

Final sorted list: [1, 21, 44]
</think>

<response>1, 21, 44</response>


input: Demonstrate how bubble sort orders the integers -8, 15, -87, -51 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-8, 15, -87, -51]

Pass 1:
  Compare -8 and 15
  No swap needed
  Compare 15 and -87
  Swap 15 and -87
  List after swap: [-8, -87, 15, -51]
  Compare 15 and -51
  Swap 15 and -51
  List after swap: [-8, -87, -51, 15]

Pass 2:
  Compare -8 and -87
  Swap -8 and -87
  List after swap: [-87, -8, -51, 15]
  Compare -8 and -51
  Swap -8 and -51
  List after swap: [-87, -51, -8, 15]

Pass 3:
  Compare -87 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -51, -8, 15]
</think>

<response>-87, -51, -8, 15</response>


input: Sort the list -87, 40, 75, 38, -5, 93, -52, -86 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-87, 40, 75, 38, -5, 93, -52, -86]

Pass 1:
  Compare -87 and 40
  No swap needed
  Compare 40 and 75
  No swap needed
  Compare 75 and 38
  Swap 75 and 38
  List after swap: [-87, 40, 38, 75, -5, 93, -52, -86]
  Compare 75 and -5
  Swap 75 and -5
  List after swap: [-87, 40, 38, -5, 75, 93, -52, -86]
  Compare 75 and 93
  No swap needed
  Compare 93 and -52
  Swap 93 and -52
  List after swap: [-87, 40, 38, -5, 75, -52, 93, -86]
  Compare 93 and -86
  Swap 93 and -86
  List after swap: [-87, 40, 38, -5, 75, -52, -86, 93]

Pass 2:
  Compare -87 and 40
  No swap needed
  Compare 40 and 38
  Swap 40 and 38
  List after swap: [-87, 38, 40, -5, 75, -52, -86, 93]
  Compare 40 and -5
  Swap 40 and -5
  List after swap: [-87, 38, -5, 40, 75, -52, -86, 93]
  Compare 40 and 75
  No swap needed
  Compare 75 and -52
  Swap 75 and -52
  List after swap: [-87, 38, -5, 40, -52, 75, -86, 93]
  Compare 75 and -86
  Swap 75 and -86
  List after swap: [-87, 38, -5, 40, -52, -86, 75, 93]

Pass 3:
  Compare -87 and 38
  No swap needed
  Compare 38 and -5
  Swap 38 and -5
  List after swap: [-87, -5, 38, 40, -52, -86, 75, 93]
  Compare 38 and 40
  No swap needed
  Compare 40 and -52
  Swap 40 and -52
  List after swap: [-87, -5, 38, -52, 40, -86, 75, 93]
  Compare 40 and -86
  Swap 40 and -86
  List after swap: [-87, -5, 38, -52, -86, 40, 75, 93]

Pass 4:
  Compare -87 and -5
  No swap needed
  Compare -5 and 38
  No swap needed
  Compare 38 and -52
  Swap 38 and -52
  List after swap: [-87, -5, -52, 38, -86, 40, 75, 93]
  Compare 38 and -86
  Swap 38 and -86
  List after swap: [-87, -5, -52, -86, 38, 40, 75, 93]

Pass 5:
  Compare -87 and -5
  No swap needed
  Compare -5 and -52
  Swap -5 and -52
  List after swap: [-87, -52, -5, -86, 38, 40, 75, 93]
  Compare -5 and -86
  Swap -5 and -86
  List after swap: [-87, -52, -86, -5, 38, 40, 75, 93]

Pass 6:
  Compare -87 and -52
  No swap needed
  Compare -52 and -86
  Swap -52 and -86
  List after swap: [-87, -86, -52, -5, 38, 40, 75, 93]

Pass 7:
  Compare -87 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -86, -52, -5, 38, 40, 75, 93]
</think>

<response>-87, -86, -52, -5, 38, 40, 75, 93</response>


input: Sort the list 57, -92, 27, 23, 3, -97, -24 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [57, -92, 27, 23, 3, -97, -24]

Pass 1:
  Compare 57 and -92
  Swap 57 and -92
  List after swap: [-92, 57, 27, 23, 3, -97, -24]
  Compare 57 and 27
  Swap 57 and 27
  List after swap: [-92, 27, 57, 23, 3, -97, -24]
  Compare 57 and 23
  Swap 57 and 23
  List after swap: [-92, 27, 23, 57, 3, -97, -24]
  Compare 57 and 3
  Swap 57 and 3
  List after swap: [-92, 27, 23, 3, 57, -97, -24]
  Compare 57 and -97
  Swap 57 and -97
  List after swap: [-92, 27, 23, 3, -97, 57, -24]
  Compare 57 and -24
  Swap 57 and -24
  List after swap: [-92, 27, 23, 3, -97, -24, 57]

Pass 2:
  Compare -92 and 27
  No swap needed
  Compare 27 and 23
  Swap 27 and 23
  List after swap: [-92, 23, 27, 3, -97, -24, 57]
  Compare 27 and 3
  Swap 27 and 3
  List after swap: [-92, 23, 3, 27, -97, -24, 57]
  Compare 27 and -97
  Swap 27 and -97
  List after swap: [-92, 23, 3, -97, 27, -24, 57]
  Compare 27 and -24
  Swap 27 and -24
  List after swap: [-92, 23, 3, -97, -24, 27, 57]

Pass 3:
  Compare -92 and 23
  No swap needed
  Compare 23 and 3
  Swap 23 and 3
  List after swap: [-92, 3, 23, -97, -24, 27, 57]
  Compare 23 and -97
  Swap 23 and -97
  List after swap: [-92, 3, -97, 23, -24, 27, 57]
  Compare 23 and -24
  Swap 23 and -24
  List after swap: [-92, 3, -97, -24, 23, 27, 57]

Pass 4:
  Compare -92 and 3
  No swap needed
  Compare 3 and -97
  Swap 3 and -97
  List after swap: [-92, -97, 3, -24, 23, 27, 57]
  Compare 3 and -24
  Swap 3 and -24
  List after swap: [-92, -97, -24, 3, 23, 27, 57]

Pass 5:
  Compare -92 and -97
  Swap -92 and -97
  List after swap: [-97, -92, -24, 3, 23, 27, 57]
  Compare -92 and -24
  No swap needed

Pass 6:
  Compare -97 and -92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -92, -24, 3, 23, 27, 57]
</think>

<response>-97, -92, -24, 3, 23, 27, 57</response>


input: Sort these integers -50, 75, 70, -52, 65 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-50, 75, 70, -52, 65]

Pass 1:
  Compare -50 and 75
  No swap needed
  Compare 75 and 70
  Swap 75 and 70
  List after swap: [-50, 70, 75, -52, 65]
  Compare 75 and -52
  Swap 75 and -52
  List after swap: [-50, 70, -52, 75, 65]
  Compare 75 and 65
  Swap 75 and 65
  List after swap: [-50, 70, -52, 65, 75]

Pass 2:
  Compare -50 and 70
  No swap needed
  Compare 70 and -52
  Swap 70 and -52
  List after swap: [-50, -52, 70, 65, 75]
  Compare 70 and 65
  Swap 70 and 65
  List after swap: [-50, -52, 65, 70, 75]

Pass 3:
  Compare -50 and -52
  Swap -50 and -52
  List after swap: [-52, -50, 65, 70, 75]
  Compare -50 and 65
  No swap needed

Pass 4:
  Compare -52 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -50, 65, 70, 75]
</think>

<response>-52, -50, 65, 70, 75</response>


input: Sort these integers -67, 11, -35, 71, -90, 88, 98, -43, -71, 29 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-67, 11, -35, 71, -90, 88, 98, -43, -71, 29]

Pass 1:
  Compare -67 and 11
  No swap needed
  Compare 11 and -35
  Swap 11 and -35
  List after swap: [-67, -35, 11, 71, -90, 88, 98, -43, -71, 29]
  Compare 11 and 71
  No swap needed
  Compare 71 and -90
  Swap 71 and -90
  List after swap: [-67, -35, 11, -90, 71, 88, 98, -43, -71, 29]
  Compare 71 and 88
  No swap needed
  Compare 88 and 98
  No swap needed
  Compare 98 and -43
  Swap 98 and -43
  List after swap: [-67, -35, 11, -90, 71, 88, -43, 98, -71, 29]
  Compare 98 and -71
  Swap 98 and -71
  List after swap: [-67, -35, 11, -90, 71, 88, -43, -71, 98, 29]
  Compare 98 and 29
  Swap 98 and 29
  List after swap: [-67, -35, 11, -90, 71, 88, -43, -71, 29, 98]

Pass 2:
  Compare -67 and -35
  No swap needed
  Compare -35 and 11
  No swap needed
  Compare 11 and -90
  Swap 11 and -90
  List after swap: [-67, -35, -90, 11, 71, 88, -43, -71, 29, 98]
  Compare 11 and 71
  No swap needed
  Compare 71 and 88
  No swap needed
  Compare 88 and -43
  Swap 88 and -43
  List after swap: [-67, -35, -90, 11, 71, -43, 88, -71, 29, 98]
  Compare 88 and -71
  Swap 88 and -71
  List after swap: [-67, -35, -90, 11, 71, -43, -71, 88, 29, 98]
  Compare 88 and 29
  Swap 88 and 29
  List after swap: [-67, -35, -90, 11, 71, -43, -71, 29, 88, 98]

Pass 3:
  Compare -67 and -35
  No swap needed
  Compare -35 and -90
  Swap -35 and -90
  List after swap: [-67, -90, -35, 11, 71, -43, -71, 29, 88, 98]
  Compare -35 and 11
  No swap needed
  Compare 11 and 71
  No swap needed
  Compare 71 and -43
  Swap 71 and -43
  List after swap: [-67, -90, -35, 11, -43, 71, -71, 29, 88, 98]
  Compare 71 and -71
  Swap 71 and -71
  List after swap: [-67, -90, -35, 11, -43, -71, 71, 29, 88, 98]
  Compare 71 and 29
  Swap 71 and 29
  List after swap: [-67, -90, -35, 11, -43, -71, 29, 71, 88, 98]

Pass 4:
  Compare -67 and -90
  Swap -67 and -90
  List after swap: [-90, -67, -35, 11, -43, -71, 29, 71, 88, 98]
  Compare -67 and -35
  No swap needed
  Compare -35 and 11
  No swap needed
  Compare 11 and -43
  Swap 11 and -43
  List after swap: [-90, -67, -35, -43, 11, -71, 29, 71, 88, 98]
  Compare 11 and -71
  Swap 11 and -71
  List after swap: [-90, -67, -35, -43, -71, 11, 29, 71, 88, 98]
  Compare 11 and 29
  No swap needed

Pass 5:
  Compare -90 and -67
  No swap needed
  Compare -67 and -35
  No swap needed
  Compare -35 and -43
  Swap -35 and -43
  List after swap: [-90, -67, -43, -35, -71, 11, 29, 71, 88, 98]
  Compare -35 and -71
  Swap -35 and -71
  List after swap: [-90, -67, -43, -71, -35, 11, 29, 71, 88, 98]
  Compare -35 and 11
  No swap needed

Pass 6:
  Compare -90 and -67
  No swap needed
  Compare -67 and -43
  No swap needed
  Compare -43 and -71
  Swap -43 and -71
  List after swap: [-90, -67, -71, -43, -35, 11, 29, 71, 88, 98]
  Compare -43 and -35
  No swap needed

Pass 7:
  Compare -90 and -67
  No swap needed
  Compare -67 and -71
  Swap -67 and -71
  List after swap: [-90, -71, -67, -43, -35, 11, 29, 71, 88, 98]
  Compare -67 and -43
  No swap needed

Pass 8:
  Compare -90 and -71
  No swap needed
  Compare -71 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -71, -67, -43, -35, 11, 29, 71, 88, 98]
</think>

<response>-90, -71, -67, -43, -35, 11, 29, 71, 88, 98</response>


input: Sort the list 71, -71, 2, 82 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [71, -71, 2, 82]

Pass 1:
  Compare 71 and -71
  Swap 71 and -71
  List after swap: [-71, 71, 2, 82]
  Compare 71 and 2
  Swap 71 and 2
  List after swap: [-71, 2, 71, 82]
  Compare 71 and 82
  No swap needed

Pass 2:
  Compare -71 and 2
  No swap needed
  Compare 2 and 71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, 2, 71, 82]
</think>

<response>-71, 2, 71, 82</response>


input: Sort these integers 47, 50, -30, -10, -13, 87 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [47, 50, -30, -10, -13, 87]

Pass 1:
  Compare 47 and 50
  No swap needed
  Compare 50 and -30
  Swap 50 and -30
  List after swap: [47, -30, 50, -10, -13, 87]
  Compare 50 and -10
  Swap 50 and -10
  List after swap: [47, -30, -10, 50, -13, 87]
  Compare 50 and -13
  Swap 50 and -13
  List after swap: [47, -30, -10, -13, 50, 87]
  Compare 50 and 87
  No swap needed

Pass 2:
  Compare 47 and -30
  Swap 47 and -30
  List after swap: [-30, 47, -10, -13, 50, 87]
  Compare 47 and -10
  Swap 47 and -10
  List after swap: [-30, -10, 47, -13, 50, 87]
  Compare 47 and -13
  Swap 47 and -13
  List after swap: [-30, -10, -13, 47, 50, 87]
  Compare 47 and 50
  No swap needed

Pass 3:
  Compare -30 and -10
  No swap needed
  Compare -10 and -13
  Swap -10 and -13
  List after swap: [-30, -13, -10, 47, 50, 87]
  Compare -10 and 47
  No swap needed

Pass 4:
  Compare -30 and -13
  No swap needed
  Compare -13 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -13, -10, 47, 50, 87]
</think>

<response>-30, -13, -10, 47, 50, 87</response>


input: Implement bubble sort on 93, -79, 38, -52, 55, 88, -88 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [93, -79, 38, -52, 55, 88, -88]

Pass 1:
  Compare 93 and -79
  Swap 93 and -79
  List after swap: [-79, 93, 38, -52, 55, 88, -88]
  Compare 93 and 38
  Swap 93 and 38
  List after swap: [-79, 38, 93, -52, 55, 88, -88]
  Compare 93 and -52
  Swap 93 and -52
  List after swap: [-79, 38, -52, 93, 55, 88, -88]
  Compare 93 and 55
  Swap 93 and 55
  List after swap: [-79, 38, -52, 55, 93, 88, -88]
  Compare 93 and 88
  Swap 93 and 88
  List after swap: [-79, 38, -52, 55, 88, 93, -88]
  Compare 93 and -88
  Swap 93 and -88
  List after swap: [-79, 38, -52, 55, 88, -88, 93]

Pass 2:
  Compare -79 and 38
  No swap needed
  Compare 38 and -52
  Swap 38 and -52
  List after swap: [-79, -52, 38, 55, 88, -88, 93]
  Compare 38 and 55
  No swap needed
  Compare 55 and 88
  No swap needed
  Compare 88 and -88
  Swap 88 and -88
  List after swap: [-79, -52, 38, 55, -88, 88, 93]

Pass 3:
  Compare -79 and -52
  No swap needed
  Compare -52 and 38
  No swap needed
  Compare 38 and 55
  No swap needed
  Compare 55 and -88
  Swap 55 and -88
  List after swap: [-79, -52, 38, -88, 55, 88, 93]

Pass 4:
  Compare -79 and -52
  No swap needed
  Compare -52 and 38
  No swap needed
  Compare 38 and -88
  Swap 38 and -88
  List after swap: [-79, -52, -88, 38, 55, 88, 93]

Pass 5:
  Compare -79 and -52
  No swap needed
  Compare -52 and -88
  Swap -52 and -88
  List after swap: [-79, -88, -52, 38, 55, 88, 93]

Pass 6:
  Compare -79 and -88
  Swap -79 and -88
  List after swap: [-88, -79, -52, 38, 55, 88, 93]

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

Final sorted list: [-88, -79, -52, 38, 55, 88, 93]
</think>

<response>-88, -79, -52, 38, 55, 88, 93</response>


input: Use the bubble sort technique to reorder -51, -2, -76, -92, -48, -63, -99, 51 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-51, -2, -76, -92, -48, -63, -99, 51]

Pass 1:
  Compare -51 and -2
  No swap needed
  Compare -2 and -76
  Swap -2 and -76
  List after swap: [-51, -76, -2, -92, -48, -63, -99, 51]
  Compare -2 and -92
  Swap -2 and -92
  List after swap: [-51, -76, -92, -2, -48, -63, -99, 51]
  Compare -2 and -48
  Swap -2 and -48
  List after swap: [-51, -76, -92, -48, -2, -63, -99, 51]
  Compare -2 and -63
  Swap -2 and -63
  List after swap: [-51, -76, -92, -48, -63, -2, -99, 51]
  Compare -2 and -99
  Swap -2 and -99
  List after swap: [-51, -76, -92, -48, -63, -99, -2, 51]
  Compare -2 and 51
  No swap needed

Pass 2:
  Compare -51 and -76
  Swap -51 and -76
  List after swap: [-76, -51, -92, -48, -63, -99, -2, 51]
  Compare -51 and -92
  Swap -51 and -92
  List after swap: [-76, -92, -51, -48, -63, -99, -2, 51]
  Compare -51 and -48
  No swap needed
  Compare -48 and -63
  Swap -48 and -63
  List after swap: [-76, -92, -51, -63, -48, -99, -2, 51]
  Compare -48 and -99
  Swap -48 and -99
  List after swap: [-76, -92, -51, -63, -99, -48, -2, 51]
  Compare -48 and -2
  No swap needed

Pass 3:
  Compare -76 and -92
  Swap -76 and -92
  List after swap: [-92, -76, -51, -63, -99, -48, -2, 51]
  Compare -76 and -51
  No swap needed
  Compare -51 and -63
  Swap -51 and -63
  List after swap: [-92, -76, -63, -51, -99, -48, -2, 51]
  Compare -51 and -99
  Swap -51 and -99
  List after swap: [-92, -76, -63, -99, -51, -48, -2, 51]
  Compare -51 and -48
  No swap needed

Pass 4:
  Compare -92 and -76
  No swap needed
  Compare -76 and -63
  No swap needed
  Compare -63 and -99
  Swap -63 and -99
  List after swap: [-92, -76, -99, -63, -51, -48, -2, 51]
  Compare -63 and -51
  No swap needed

Pass 5:
  Compare -92 and -76
  No swap needed
  Compare -76 and -99
  Swap -76 and -99
  List after swap: [-92, -99, -76, -63, -51, -48, -2, 51]
  Compare -76 and -63
  No swap needed

Pass 6:
  Compare -92 and -99
  Swap -92 and -99
  List after swap: [-99, -92, -76, -63, -51, -48, -2, 51]
  Compare -92 and -76
  No swap needed

Pass 7:
  Compare -99 and -92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -92, -76, -63, -51, -48, -2, 51]
</think>

<response>-99, -92, -76, -63, -51, -48, -2, 51</response>


input: Sort the list -55, -16, -42, -45, 39, -82, 99, -81, 51, -56 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-55, -16, -42, -45, 39, -82, 99, -81, 51, -56]

Pass 1:
  Compare -55 and -16
  No swap needed
  Compare -16 and -42
  Swap -16 and -42
  List after swap: [-55, -42, -16, -45, 39, -82, 99, -81, 51, -56]
  Compare -16 and -45
  Swap -16 and -45
  List after swap: [-55, -42, -45, -16, 39, -82, 99, -81, 51, -56]
  Compare -16 and 39
  No swap needed
  Compare 39 and -82
  Swap 39 and -82
  List after swap: [-55, -42, -45, -16, -82, 39, 99, -81, 51, -56]
  Compare 39 and 99
  No swap needed
  Compare 99 and -81
  Swap 99 and -81
  List after swap: [-55, -42, -45, -16, -82, 39, -81, 99, 51, -56]
  Compare 99 and 51
  Swap 99 and 51
  List after swap: [-55, -42, -45, -16, -82, 39, -81, 51, 99, -56]
  Compare 99 and -56
  Swap 99 and -56
  List after swap: [-55, -42, -45, -16, -82, 39, -81, 51, -56, 99]

Pass 2:
  Compare -55 and -42
  No swap needed
  Compare -42 and -45
  Swap -42 and -45
  List after swap: [-55, -45, -42, -16, -82, 39, -81, 51, -56, 99]
  Compare -42 and -16
  No swap needed
  Compare -16 and -82
  Swap -16 and -82
  List after swap: [-55, -45, -42, -82, -16, 39, -81, 51, -56, 99]
  Compare -16 and 39
  No swap needed
  Compare 39 and -81
  Swap 39 and -81
  List after swap: [-55, -45, -42, -82, -16, -81, 39, 51, -56, 99]
  Compare 39 and 51
  No swap needed
  Compare 51 and -56
  Swap 51 and -56
  List after swap: [-55, -45, -42, -82, -16, -81, 39, -56, 51, 99]

Pass 3:
  Compare -55 and -45
  No swap needed
  Compare -45 and -42
  No swap needed
  Compare -42 and -82
  Swap -42 and -82
  List after swap: [-55, -45, -82, -42, -16, -81, 39, -56, 51, 99]
  Compare -42 and -16
  No swap needed
  Compare -16 and -81
  Swap -16 and -81
  List after swap: [-55, -45, -82, -42, -81, -16, 39, -56, 51, 99]
  Compare -16 and 39
  No swap needed
  Compare 39 and -56
  Swap 39 and -56
  List after swap: [-55, -45, -82, -42, -81, -16, -56, 39, 51, 99]

Pass 4:
  Compare -55 and -45
  No swap needed
  Compare -45 and -82
  Swap -45 and -82
  List after swap: [-55, -82, -45, -42, -81, -16, -56, 39, 51, 99]
  Compare -45 and -42
  No swap needed
  Compare -42 and -81
  Swap -42 and -81
  List after swap: [-55, -82, -45, -81, -42, -16, -56, 39, 51, 99]
  Compare -42 and -16
  No swap needed
  Compare -16 and -56
  Swap -16 and -56
  List after swap: [-55, -82, -45, -81, -42, -56, -16, 39, 51, 99]

Pass 5:
  Compare -55 and -82
  Swap -55 and -82
  List after swap: [-82, -55, -45, -81, -42, -56, -16, 39, 51, 99]
  Compare -55 and -45
  No swap needed
  Compare -45 and -81
  Swap -45 and -81
  List after swap: [-82, -55, -81, -45, -42, -56, -16, 39, 51, 99]
  Compare -45 and -42
  No swap needed
  Compare -42 and -56
  Swap -42 and -56
  List after swap: [-82, -55, -81, -45, -56, -42, -16, 39, 51, 99]

Pass 6:
  Compare -82 and -55
  No swap needed
  Compare -55 and -81
  Swap -55 and -81
  List after swap: [-82, -81, -55, -45, -56, -42, -16, 39, 51, 99]
  Compare -55 and -45
  No swap needed
  Compare -45 and -56
  Swap -45 and -56
  List after swap: [-82, -81, -55, -56, -45, -42, -16, 39, 51, 99]

Pass 7:
  Compare -82 and -81
  No swap needed
  Compare -81 and -55
  No swap needed
  Compare -55 and -56
  Swap -55 and -56
  List after swap: [-82, -81, -56, -55, -45, -42, -16, 39, 51, 99]

Pass 8:
  Compare -82 and -81
  No swap needed
  Compare -81 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -81, -56, -55, -45, -42, -16, 39, 51, 99]
</think>

<response>-82, -81, -56, -55, -45, -42, -16, 39, 51, 99</response>


input: Sort these integers 46, 88 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [46, 88]

Pass 1:
  Compare 46 and 88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [46, 88]
</think>

<response>46, 88</response>


input: Demonstrate how bubble sort orders the integers 59, -99, -85, 22, 65, 92 in ascending sequence, showing all steps.

output:
<think>
Initial list: [59, -99, -85, 22, 65, 92]

Pass 1:
  Compare 59 and -99
  Swap 59 and -99
  List after swap: [-99, 59, -85, 22, 65, 92]
  Compare 59 and -85
  Swap 59 and -85
  List after swap: [-99, -85, 59, 22, 65, 92]
  Compare 59 and 22
  Swap 59 and 22
  List after swap: [-99, -85, 22, 59, 65, 92]
  Compare 59 and 65
  No swap needed
  Compare 65 and 92
  No swap needed

Pass 2:
  Compare -99 and -85
  No swap needed
  Compare -85 and 22
  No swap needed
  Compare 22 and 59
  No swap needed
  Compare 59 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -85, 22, 59, 65, 92]
</think>

<response>-99, -85, 22, 59, 65, 92</response>


input: Implement bubble sort on -96, -23, -1, 36, -8, 64, 51, 81 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-96, -23, -1, 36, -8, 64, 51, 81]

Pass 1:
  Compare -96 and -23
  No swap needed
  Compare -23 and -1
  No swap needed
  Compare -1 and 36
  No swap needed
  Compare 36 and -8
  Swap 36 and -8
  List after swap: [-96, -23, -1, -8, 36, 64, 51, 81]
  Compare 36 and 64
  No swap needed
  Compare 64 and 51
  Swap 64 and 51
  List after swap: [-96, -23, -1, -8, 36, 51, 64, 81]
  Compare 64 and 81
  No swap needed

Pass 2:
  Compare -96 and -23
  No swap needed
  Compare -23 and -1
  No swap needed
  Compare -1 and -8
  Swap -1 and -8
  List after swap: [-96, -23, -8, -1, 36, 51, 64, 81]
  Compare -1 and 36
  No swap needed
  Compare 36 and 51
  No swap needed
  Compare 51 and 64
  No swap needed

Pass 3:
  Compare -96 and -23
  No swap needed
  Compare -23 and -8
  No swap needed
  Compare -8 and -1
  No swap needed
  Compare -1 and 36
  No swap needed
  Compare 36 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -23, -8, -1, 36, 51, 64, 81]
</think>

<response>-96, -23, -8, -1, 36, 51, 64, 81</response>