input: Sort the list 31, -4, -5, -50, -68, 14, 89 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [31, -4, -5, -50, -68, 14, 89]

Pass 1:
  Compare 31 and -4
  Swap 31 and -4
  List after swap: [-4, 31, -5, -50, -68, 14, 89]
  Compare 31 and -5
  Swap 31 and -5
  List after swap: [-4, -5, 31, -50, -68, 14, 89]
  Compare 31 and -50
  Swap 31 and -50
  List after swap: [-4, -5, -50, 31, -68, 14, 89]
  Compare 31 and -68
  Swap 31 and -68
  List after swap: [-4, -5, -50, -68, 31, 14, 89]
  Compare 31 and 14
  Swap 31 and 14
  List after swap: [-4, -5, -50, -68, 14, 31, 89]
  Compare 31 and 89
  No swap needed

Pass 2:
  Compare -4 and -5
  Swap -4 and -5
  List after swap: [-5, -4, -50, -68, 14, 31, 89]
  Compare -4 and -50
  Swap -4 and -50
  List after swap: [-5, -50, -4, -68, 14, 31, 89]
  Compare -4 and -68
  Swap -4 and -68
  List after swap: [-5, -50, -68, -4, 14, 31, 89]
  Compare -4 and 14
  No swap needed
  Compare 14 and 31
  No swap needed

Pass 3:
  Compare -5 and -50
  Swap -5 and -50
  List after swap: [-50, -5, -68, -4, 14, 31, 89]
  Compare -5 and -68
  Swap -5 and -68
  List after swap: [-50, -68, -5, -4, 14, 31, 89]
  Compare -5 and -4
  No swap needed
  Compare -4 and 14
  No swap needed

Pass 4:
  Compare -50 and -68
  Swap -50 and -68
  List after swap: [-68, -50, -5, -4, 14, 31, 89]
  Compare -50 and -5
  No swap needed
  Compare -5 and -4
  No swap needed

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

Final sorted list: [-68, -50, -5, -4, 14, 31, 89]
</think>

<response>-68, -50, -5, -4, 14, 31, 89</response>


input: Demonstrate how bubble sort orders the integers 49, 70, 68, -77, 26 in ascending sequence, showing all steps.

output:
<think>
Initial list: [49, 70, 68, -77, 26]

Pass 1:
  Compare 49 and 70
  No swap needed
  Compare 70 and 68
  Swap 70 and 68
  List after swap: [49, 68, 70, -77, 26]
  Compare 70 and -77
  Swap 70 and -77
  List after swap: [49, 68, -77, 70, 26]
  Compare 70 and 26
  Swap 70 and 26
  List after swap: [49, 68, -77, 26, 70]

Pass 2:
  Compare 49 and 68
  No swap needed
  Compare 68 and -77
  Swap 68 and -77
  List after swap: [49, -77, 68, 26, 70]
  Compare 68 and 26
  Swap 68 and 26
  List after swap: [49, -77, 26, 68, 70]

Pass 3:
  Compare 49 and -77
  Swap 49 and -77
  List after swap: [-77, 49, 26, 68, 70]
  Compare 49 and 26
  Swap 49 and 26
  List after swap: [-77, 26, 49, 68, 70]

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

Final sorted list: [-77, 26, 49, 68, 70]
</think>

<response>-77, 26, 49, 68, 70</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 30, 6, -2, -7, 82, -12, 95.

output:
<think>
Initial list: [30, 6, -2, -7, 82, -12, 95]

Pass 1:
  Compare 30 and 6
  Swap 30 and 6
  List after swap: [6, 30, -2, -7, 82, -12, 95]
  Compare 30 and -2
  Swap 30 and -2
  List after swap: [6, -2, 30, -7, 82, -12, 95]
  Compare 30 and -7
  Swap 30 and -7
  List after swap: [6, -2, -7, 30, 82, -12, 95]
  Compare 30 and 82
  No swap needed
  Compare 82 and -12
  Swap 82 and -12
  List after swap: [6, -2, -7, 30, -12, 82, 95]
  Compare 82 and 95
  No swap needed

Pass 2:
  Compare 6 and -2
  Swap 6 and -2
  List after swap: [-2, 6, -7, 30, -12, 82, 95]
  Compare 6 and -7
  Swap 6 and -7
  List after swap: [-2, -7, 6, 30, -12, 82, 95]
  Compare 6 and 30
  No swap needed
  Compare 30 and -12
  Swap 30 and -12
  List after swap: [-2, -7, 6, -12, 30, 82, 95]
  Compare 30 and 82
  No swap needed

Pass 3:
  Compare -2 and -7
  Swap -2 and -7
  List after swap: [-7, -2, 6, -12, 30, 82, 95]
  Compare -2 and 6
  No swap needed
  Compare 6 and -12
  Swap 6 and -12
  List after swap: [-7, -2, -12, 6, 30, 82, 95]
  Compare 6 and 30
  No swap needed

Pass 4:
  Compare -7 and -2
  No swap needed
  Compare -2 and -12
  Swap -2 and -12
  List after swap: [-7, -12, -2, 6, 30, 82, 95]
  Compare -2 and 6
  No swap needed

Pass 5:
  Compare -7 and -12
  Swap -7 and -12
  List after swap: [-12, -7, -2, 6, 30, 82, 95]
  Compare -7 and -2
  No swap needed

Pass 6:
  Compare -12 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-12, -7, -2, 6, 30, 82, 95]
</think>

<response>-12, -7, -2, 6, 30, 82, 95</response>


input: Demonstrate how bubble sort orders the integers -6, -37, 83, -91, 40, 67, -62 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-6, -37, 83, -91, 40, 67, -62]

Pass 1:
  Compare -6 and -37
  Swap -6 and -37
  List after swap: [-37, -6, 83, -91, 40, 67, -62]
  Compare -6 and 83
  No swap needed
  Compare 83 and -91
  Swap 83 and -91
  List after swap: [-37, -6, -91, 83, 40, 67, -62]
  Compare 83 and 40
  Swap 83 and 40
  List after swap: [-37, -6, -91, 40, 83, 67, -62]
  Compare 83 and 67
  Swap 83 and 67
  List after swap: [-37, -6, -91, 40, 67, 83, -62]
  Compare 83 and -62
  Swap 83 and -62
  List after swap: [-37, -6, -91, 40, 67, -62, 83]

Pass 2:
  Compare -37 and -6
  No swap needed
  Compare -6 and -91
  Swap -6 and -91
  List after swap: [-37, -91, -6, 40, 67, -62, 83]
  Compare -6 and 40
  No swap needed
  Compare 40 and 67
  No swap needed
  Compare 67 and -62
  Swap 67 and -62
  List after swap: [-37, -91, -6, 40, -62, 67, 83]

Pass 3:
  Compare -37 and -91
  Swap -37 and -91
  List after swap: [-91, -37, -6, 40, -62, 67, 83]
  Compare -37 and -6
  No swap needed
  Compare -6 and 40
  No swap needed
  Compare 40 and -62
  Swap 40 and -62
  List after swap: [-91, -37, -6, -62, 40, 67, 83]

Pass 4:
  Compare -91 and -37
  No swap needed
  Compare -37 and -6
  No swap needed
  Compare -6 and -62
  Swap -6 and -62
  List after swap: [-91, -37, -62, -6, 40, 67, 83]

Pass 5:
  Compare -91 and -37
  No swap needed
  Compare -37 and -62
  Swap -37 and -62
  List after swap: [-91, -62, -37, -6, 40, 67, 83]

Pass 6:
  Compare -91 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -62, -37, -6, 40, 67, 83]
</think>

<response>-91, -62, -37, -6, 40, 67, 83</response>


input: Sort these integers -60, 93 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-60, 93]

Pass 1:
  Compare -60 and 93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, 93]
</think>

<response>-60, 93</response>


input: Sort these integers 64, -100, -38, -84, 19, 46, 98, -20, -40 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [64, -100, -38, -84, 19, 46, 98, -20, -40]

Pass 1:
  Compare 64 and -100
  Swap 64 and -100
  List after swap: [-100, 64, -38, -84, 19, 46, 98, -20, -40]
  Compare 64 and -38
  Swap 64 and -38
  List after swap: [-100, -38, 64, -84, 19, 46, 98, -20, -40]
  Compare 64 and -84
  Swap 64 and -84
  List after swap: [-100, -38, -84, 64, 19, 46, 98, -20, -40]
  Compare 64 and 19
  Swap 64 and 19
  List after swap: [-100, -38, -84, 19, 64, 46, 98, -20, -40]
  Compare 64 and 46
  Swap 64 and 46
  List after swap: [-100, -38, -84, 19, 46, 64, 98, -20, -40]
  Compare 64 and 98
  No swap needed
  Compare 98 and -20
  Swap 98 and -20
  List after swap: [-100, -38, -84, 19, 46, 64, -20, 98, -40]
  Compare 98 and -40
  Swap 98 and -40
  List after swap: [-100, -38, -84, 19, 46, 64, -20, -40, 98]

Pass 2:
  Compare -100 and -38
  No swap needed
  Compare -38 and -84
  Swap -38 and -84
  List after swap: [-100, -84, -38, 19, 46, 64, -20, -40, 98]
  Compare -38 and 19
  No swap needed
  Compare 19 and 46
  No swap needed
  Compare 46 and 64
  No swap needed
  Compare 64 and -20
  Swap 64 and -20
  List after swap: [-100, -84, -38, 19, 46, -20, 64, -40, 98]
  Compare 64 and -40
  Swap 64 and -40
  List after swap: [-100, -84, -38, 19, 46, -20, -40, 64, 98]

Pass 3:
  Compare -100 and -84
  No swap needed
  Compare -84 and -38
  No swap needed
  Compare -38 and 19
  No swap needed
  Compare 19 and 46
  No swap needed
  Compare 46 and -20
  Swap 46 and -20
  List after swap: [-100, -84, -38, 19, -20, 46, -40, 64, 98]
  Compare 46 and -40
  Swap 46 and -40
  List after swap: [-100, -84, -38, 19, -20, -40, 46, 64, 98]

Pass 4:
  Compare -100 and -84
  No swap needed
  Compare -84 and -38
  No swap needed
  Compare -38 and 19
  No swap needed
  Compare 19 and -20
  Swap 19 and -20
  List after swap: [-100, -84, -38, -20, 19, -40, 46, 64, 98]
  Compare 19 and -40
  Swap 19 and -40
  List after swap: [-100, -84, -38, -20, -40, 19, 46, 64, 98]

Pass 5:
  Compare -100 and -84
  No swap needed
  Compare -84 and -38
  No swap needed
  Compare -38 and -20
  No swap needed
  Compare -20 and -40
  Swap -20 and -40
  List after swap: [-100, -84, -38, -40, -20, 19, 46, 64, 98]

Pass 6:
  Compare -100 and -84
  No swap needed
  Compare -84 and -38
  No swap needed
  Compare -38 and -40
  Swap -38 and -40
  List after swap: [-100, -84, -40, -38, -20, 19, 46, 64, 98]

Pass 7:
  Compare -100 and -84
  No swap needed
  Compare -84 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -84, -40, -38, -20, 19, 46, 64, 98]
</think>

<response>-100, -84, -40, -38, -20, 19, 46, 64, 98</response>


input: Sort these integers 42, -62, -48, 67 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [42, -62, -48, 67]

Pass 1:
  Compare 42 and -62
  Swap 42 and -62
  List after swap: [-62, 42, -48, 67]
  Compare 42 and -48
  Swap 42 and -48
  List after swap: [-62, -48, 42, 67]
  Compare 42 and 67
  No swap needed

Pass 2:
  Compare -62 and -48
  No swap needed
  Compare -48 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -48, 42, 67]
</think>

<response>-62, -48, 42, 67</response>


input: Execute bubble sort to sort 16, 90, -53, -17 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [16, 90, -53, -17]

Pass 1:
  Compare 16 and 90
  No swap needed
  Compare 90 and -53
  Swap 90 and -53
  List after swap: [16, -53, 90, -17]
  Compare 90 and -17
  Swap 90 and -17
  List after swap: [16, -53, -17, 90]

Pass 2:
  Compare 16 and -53
  Swap 16 and -53
  List after swap: [-53, 16, -17, 90]
  Compare 16 and -17
  Swap 16 and -17
  List after swap: [-53, -17, 16, 90]

Pass 3:
  Compare -53 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -17, 16, 90]
</think>

<response>-53, -17, 16, 90</response>


input: Perform a bubble sort on the integers -11, -89, 2, 36, -77, 18, 12, 81, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-11, -89, 2, 36, -77, 18, 12, 81]

Pass 1:
  Compare -11 and -89
  Swap -11 and -89
  List after swap: [-89, -11, 2, 36, -77, 18, 12, 81]
  Compare -11 and 2
  No swap needed
  Compare 2 and 36
  No swap needed
  Compare 36 and -77
  Swap 36 and -77
  List after swap: [-89, -11, 2, -77, 36, 18, 12, 81]
  Compare 36 and 18
  Swap 36 and 18
  List after swap: [-89, -11, 2, -77, 18, 36, 12, 81]
  Compare 36 and 12
  Swap 36 and 12
  List after swap: [-89, -11, 2, -77, 18, 12, 36, 81]
  Compare 36 and 81
  No swap needed

Pass 2:
  Compare -89 and -11
  No swap needed
  Compare -11 and 2
  No swap needed
  Compare 2 and -77
  Swap 2 and -77
  List after swap: [-89, -11, -77, 2, 18, 12, 36, 81]
  Compare 2 and 18
  No swap needed
  Compare 18 and 12
  Swap 18 and 12
  List after swap: [-89, -11, -77, 2, 12, 18, 36, 81]
  Compare 18 and 36
  No swap needed

Pass 3:
  Compare -89 and -11
  No swap needed
  Compare -11 and -77
  Swap -11 and -77
  List after swap: [-89, -77, -11, 2, 12, 18, 36, 81]
  Compare -11 and 2
  No swap needed
  Compare 2 and 12
  No swap needed
  Compare 12 and 18
  No swap needed

Pass 4:
  Compare -89 and -77
  No swap needed
  Compare -77 and -11
  No swap needed
  Compare -11 and 2
  No swap needed
  Compare 2 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -77, -11, 2, 12, 18, 36, 81]
</think>

<response>-89, -77, -11, 2, 12, 18, 36, 81</response>


input: Arrange the numbers 16, -23, 66, 22, 31, -14, 43, 65 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [16, -23, 66, 22, 31, -14, 43, 65]

Pass 1:
  Compare 16 and -23
  Swap 16 and -23
  List after swap: [-23, 16, 66, 22, 31, -14, 43, 65]
  Compare 16 and 66
  No swap needed
  Compare 66 and 22
  Swap 66 and 22
  List after swap: [-23, 16, 22, 66, 31, -14, 43, 65]
  Compare 66 and 31
  Swap 66 and 31
  List after swap: [-23, 16, 22, 31, 66, -14, 43, 65]
  Compare 66 and -14
  Swap 66 and -14
  List after swap: [-23, 16, 22, 31, -14, 66, 43, 65]
  Compare 66 and 43
  Swap 66 and 43
  List after swap: [-23, 16, 22, 31, -14, 43, 66, 65]
  Compare 66 and 65
  Swap 66 and 65
  List after swap: [-23, 16, 22, 31, -14, 43, 65, 66]

Pass 2:
  Compare -23 and 16
  No swap needed
  Compare 16 and 22
  No swap needed
  Compare 22 and 31
  No swap needed
  Compare 31 and -14
  Swap 31 and -14
  List after swap: [-23, 16, 22, -14, 31, 43, 65, 66]
  Compare 31 and 43
  No swap needed
  Compare 43 and 65
  No swap needed

Pass 3:
  Compare -23 and 16
  No swap needed
  Compare 16 and 22
  No swap needed
  Compare 22 and -14
  Swap 22 and -14
  List after swap: [-23, 16, -14, 22, 31, 43, 65, 66]
  Compare 22 and 31
  No swap needed
  Compare 31 and 43
  No swap needed

Pass 4:
  Compare -23 and 16
  No swap needed
  Compare 16 and -14
  Swap 16 and -14
  List after swap: [-23, -14, 16, 22, 31, 43, 65, 66]
  Compare 16 and 22
  No swap needed
  Compare 22 and 31
  No swap needed

Pass 5:
  Compare -23 and -14
  No swap needed
  Compare -14 and 16
  No swap needed
  Compare 16 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, -14, 16, 22, 31, 43, 65, 66]
</think>

<response>-23, -14, 16, 22, 31, 43, 65, 66</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 43, -91, 48, -30, -58, 11, -80, 16.

output:
<think>
Initial list: [43, -91, 48, -30, -58, 11, -80, 16]

Pass 1:
  Compare 43 and -91
  Swap 43 and -91
  List after swap: [-91, 43, 48, -30, -58, 11, -80, 16]
  Compare 43 and 48
  No swap needed
  Compare 48 and -30
  Swap 48 and -30
  List after swap: [-91, 43, -30, 48, -58, 11, -80, 16]
  Compare 48 and -58
  Swap 48 and -58
  List after swap: [-91, 43, -30, -58, 48, 11, -80, 16]
  Compare 48 and 11
  Swap 48 and 11
  List after swap: [-91, 43, -30, -58, 11, 48, -80, 16]
  Compare 48 and -80
  Swap 48 and -80
  List after swap: [-91, 43, -30, -58, 11, -80, 48, 16]
  Compare 48 and 16
  Swap 48 and 16
  List after swap: [-91, 43, -30, -58, 11, -80, 16, 48]

Pass 2:
  Compare -91 and 43
  No swap needed
  Compare 43 and -30
  Swap 43 and -30
  List after swap: [-91, -30, 43, -58, 11, -80, 16, 48]
  Compare 43 and -58
  Swap 43 and -58
  List after swap: [-91, -30, -58, 43, 11, -80, 16, 48]
  Compare 43 and 11
  Swap 43 and 11
  List after swap: [-91, -30, -58, 11, 43, -80, 16, 48]
  Compare 43 and -80
  Swap 43 and -80
  List after swap: [-91, -30, -58, 11, -80, 43, 16, 48]
  Compare 43 and 16
  Swap 43 and 16
  List after swap: [-91, -30, -58, 11, -80, 16, 43, 48]

Pass 3:
  Compare -91 and -30
  No swap needed
  Compare -30 and -58
  Swap -30 and -58
  List after swap: [-91, -58, -30, 11, -80, 16, 43, 48]
  Compare -30 and 11
  No swap needed
  Compare 11 and -80
  Swap 11 and -80
  List after swap: [-91, -58, -30, -80, 11, 16, 43, 48]
  Compare 11 and 16
  No swap needed

Pass 4:
  Compare -91 and -58
  No swap needed
  Compare -58 and -30
  No swap needed
  Compare -30 and -80
  Swap -30 and -80
  List after swap: [-91, -58, -80, -30, 11, 16, 43, 48]
  Compare -30 and 11
  No swap needed

Pass 5:
  Compare -91 and -58
  No swap needed
  Compare -58 and -80
  Swap -58 and -80
  List after swap: [-91, -80, -58, -30, 11, 16, 43, 48]
  Compare -58 and -30
  No swap needed

Pass 6:
  Compare -91 and -80
  No swap needed
  Compare -80 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -80, -58, -30, 11, 16, 43, 48]
</think>

<response>-91, -80, -58, -30, 11, 16, 43, 48</response>


input: Implement bubble sort on 29, -11, 1 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [29, -11, 1]

Pass 1:
  Compare 29 and -11
  Swap 29 and -11
  List after swap: [-11, 29, 1]
  Compare 29 and 1
  Swap 29 and 1
  List after swap: [-11, 1, 29]

Pass 2:
  Compare -11 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-11, 1, 29]
</think>

<response>-11, 1, 29</response>


input: Implement bubble sort on 46, 61, 89, -22, 5, 9, 12, -52, 47 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [46, 61, 89, -22, 5, 9, 12, -52, 47]

Pass 1:
  Compare 46 and 61
  No swap needed
  Compare 61 and 89
  No swap needed
  Compare 89 and -22
  Swap 89 and -22
  List after swap: [46, 61, -22, 89, 5, 9, 12, -52, 47]
  Compare 89 and 5
  Swap 89 and 5
  List after swap: [46, 61, -22, 5, 89, 9, 12, -52, 47]
  Compare 89 and 9
  Swap 89 and 9
  List after swap: [46, 61, -22, 5, 9, 89, 12, -52, 47]
  Compare 89 and 12
  Swap 89 and 12
  List after swap: [46, 61, -22, 5, 9, 12, 89, -52, 47]
  Compare 89 and -52
  Swap 89 and -52
  List after swap: [46, 61, -22, 5, 9, 12, -52, 89, 47]
  Compare 89 and 47
  Swap 89 and 47
  List after swap: [46, 61, -22, 5, 9, 12, -52, 47, 89]

Pass 2:
  Compare 46 and 61
  No swap needed
  Compare 61 and -22
  Swap 61 and -22
  List after swap: [46, -22, 61, 5, 9, 12, -52, 47, 89]
  Compare 61 and 5
  Swap 61 and 5
  List after swap: [46, -22, 5, 61, 9, 12, -52, 47, 89]
  Compare 61 and 9
  Swap 61 and 9
  List after swap: [46, -22, 5, 9, 61, 12, -52, 47, 89]
  Compare 61 and 12
  Swap 61 and 12
  List after swap: [46, -22, 5, 9, 12, 61, -52, 47, 89]
  Compare 61 and -52
  Swap 61 and -52
  List after swap: [46, -22, 5, 9, 12, -52, 61, 47, 89]
  Compare 61 and 47
  Swap 61 and 47
  List after swap: [46, -22, 5, 9, 12, -52, 47, 61, 89]

Pass 3:
  Compare 46 and -22
  Swap 46 and -22
  List after swap: [-22, 46, 5, 9, 12, -52, 47, 61, 89]
  Compare 46 and 5
  Swap 46 and 5
  List after swap: [-22, 5, 46, 9, 12, -52, 47, 61, 89]
  Compare 46 and 9
  Swap 46 and 9
  List after swap: [-22, 5, 9, 46, 12, -52, 47, 61, 89]
  Compare 46 and 12
  Swap 46 and 12
  List after swap: [-22, 5, 9, 12, 46, -52, 47, 61, 89]
  Compare 46 and -52
  Swap 46 and -52
  List after swap: [-22, 5, 9, 12, -52, 46, 47, 61, 89]
  Compare 46 and 47
  No swap needed

Pass 4:
  Compare -22 and 5
  No swap needed
  Compare 5 and 9
  No swap needed
  Compare 9 and 12
  No swap needed
  Compare 12 and -52
  Swap 12 and -52
  List after swap: [-22, 5, 9, -52, 12, 46, 47, 61, 89]
  Compare 12 and 46
  No swap needed

Pass 5:
  Compare -22 and 5
  No swap needed
  Compare 5 and 9
  No swap needed
  Compare 9 and -52
  Swap 9 and -52
  List after swap: [-22, 5, -52, 9, 12, 46, 47, 61, 89]
  Compare 9 and 12
  No swap needed

Pass 6:
  Compare -22 and 5
  No swap needed
  Compare 5 and -52
  Swap 5 and -52
  List after swap: [-22, -52, 5, 9, 12, 46, 47, 61, 89]
  Compare 5 and 9
  No swap needed

Pass 7:
  Compare -22 and -52
  Swap -22 and -52
  List after swap: [-52, -22, 5, 9, 12, 46, 47, 61, 89]
  Compare -22 and 5
  No swap needed

Pass 8:
  Compare -52 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -22, 5, 9, 12, 46, 47, 61, 89]
</think>

<response>-52, -22, 5, 9, 12, 46, 47, 61, 89</response>


input: Using the bubble sort method, sort -28, 25 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-28, 25]

Pass 1:
  Compare -28 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, 25]
</think>

<response>-28, 25</response>


input: Arrange the numbers -47, -37, 3 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-47, -37, 3]

Pass 1:
  Compare -47 and -37
  No swap needed
  Compare -37 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -37, 3]
</think>

<response>-47, -37, 3</response>


input: Use the bubble sort technique to reorder -20, 79, 12, -83, -75, -73, 73, -3, -22, -46 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-20, 79, 12, -83, -75, -73, 73, -3, -22, -46]

Pass 1:
  Compare -20 and 79
  No swap needed
  Compare 79 and 12
  Swap 79 and 12
  List after swap: [-20, 12, 79, -83, -75, -73, 73, -3, -22, -46]
  Compare 79 and -83
  Swap 79 and -83
  List after swap: [-20, 12, -83, 79, -75, -73, 73, -3, -22, -46]
  Compare 79 and -75
  Swap 79 and -75
  List after swap: [-20, 12, -83, -75, 79, -73, 73, -3, -22, -46]
  Compare 79 and -73
  Swap 79 and -73
  List after swap: [-20, 12, -83, -75, -73, 79, 73, -3, -22, -46]
  Compare 79 and 73
  Swap 79 and 73
  List after swap: [-20, 12, -83, -75, -73, 73, 79, -3, -22, -46]
  Compare 79 and -3
  Swap 79 and -3
  List after swap: [-20, 12, -83, -75, -73, 73, -3, 79, -22, -46]
  Compare 79 and -22
  Swap 79 and -22
  List after swap: [-20, 12, -83, -75, -73, 73, -3, -22, 79, -46]
  Compare 79 and -46
  Swap 79 and -46
  List after swap: [-20, 12, -83, -75, -73, 73, -3, -22, -46, 79]

Pass 2:
  Compare -20 and 12
  No swap needed
  Compare 12 and -83
  Swap 12 and -83
  List after swap: [-20, -83, 12, -75, -73, 73, -3, -22, -46, 79]
  Compare 12 and -75
  Swap 12 and -75
  List after swap: [-20, -83, -75, 12, -73, 73, -3, -22, -46, 79]
  Compare 12 and -73
  Swap 12 and -73
  List after swap: [-20, -83, -75, -73, 12, 73, -3, -22, -46, 79]
  Compare 12 and 73
  No swap needed
  Compare 73 and -3
  Swap 73 and -3
  List after swap: [-20, -83, -75, -73, 12, -3, 73, -22, -46, 79]
  Compare 73 and -22
  Swap 73 and -22
  List after swap: [-20, -83, -75, -73, 12, -3, -22, 73, -46, 79]
  Compare 73 and -46
  Swap 73 and -46
  List after swap: [-20, -83, -75, -73, 12, -3, -22, -46, 73, 79]

Pass 3:
  Compare -20 and -83
  Swap -20 and -83
  List after swap: [-83, -20, -75, -73, 12, -3, -22, -46, 73, 79]
  Compare -20 and -75
  Swap -20 and -75
  List after swap: [-83, -75, -20, -73, 12, -3, -22, -46, 73, 79]
  Compare -20 and -73
  Swap -20 and -73
  List after swap: [-83, -75, -73, -20, 12, -3, -22, -46, 73, 79]
  Compare -20 and 12
  No swap needed
  Compare 12 and -3
  Swap 12 and -3
  List after swap: [-83, -75, -73, -20, -3, 12, -22, -46, 73, 79]
  Compare 12 and -22
  Swap 12 and -22
  List after swap: [-83, -75, -73, -20, -3, -22, 12, -46, 73, 79]
  Compare 12 and -46
  Swap 12 and -46
  List after swap: [-83, -75, -73, -20, -3, -22, -46, 12, 73, 79]

Pass 4:
  Compare -83 and -75
  No swap needed
  Compare -75 and -73
  No swap needed
  Compare -73 and -20
  No swap needed
  Compare -20 and -3
  No swap needed
  Compare -3 and -22
  Swap -3 and -22
  List after swap: [-83, -75, -73, -20, -22, -3, -46, 12, 73, 79]
  Compare -3 and -46
  Swap -3 and -46
  List after swap: [-83, -75, -73, -20, -22, -46, -3, 12, 73, 79]

Pass 5:
  Compare -83 and -75
  No swap needed
  Compare -75 and -73
  No swap needed
  Compare -73 and -20
  No swap needed
  Compare -20 and -22
  Swap -20 and -22
  List after swap: [-83, -75, -73, -22, -20, -46, -3, 12, 73, 79]
  Compare -20 and -46
  Swap -20 and -46
  List after swap: [-83, -75, -73, -22, -46, -20, -3, 12, 73, 79]

Pass 6:
  Compare -83 and -75
  No swap needed
  Compare -75 and -73
  No swap needed
  Compare -73 and -22
  No swap needed
  Compare -22 and -46
  Swap -22 and -46
  List after swap: [-83, -75, -73, -46, -22, -20, -3, 12, 73, 79]

Pass 7:
  Compare -83 and -75
  No swap needed
  Compare -75 and -73
  No swap needed
  Compare -73 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -75, -73, -46, -22, -20, -3, 12, 73, 79]
</think>

<response>-83, -75, -73, -46, -22, -20, -3, 12, 73, 79</response>


input: Carry out the bubble sort algorithm on 36, 34, 12, -85, 67 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [36, 34, 12, -85, 67]

Pass 1:
  Compare 36 and 34
  Swap 36 and 34
  List after swap: [34, 36, 12, -85, 67]
  Compare 36 and 12
  Swap 36 and 12
  List after swap: [34, 12, 36, -85, 67]
  Compare 36 and -85
  Swap 36 and -85
  List after swap: [34, 12, -85, 36, 67]
  Compare 36 and 67
  No swap needed

Pass 2:
  Compare 34 and 12
  Swap 34 and 12
  List after swap: [12, 34, -85, 36, 67]
  Compare 34 and -85
  Swap 34 and -85
  List after swap: [12, -85, 34, 36, 67]
  Compare 34 and 36
  No swap needed

Pass 3:
  Compare 12 and -85
  Swap 12 and -85
  List after swap: [-85, 12, 34, 36, 67]
  Compare 12 and 34
  No swap needed

Pass 4:
  Compare -85 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, 12, 34, 36, 67]
</think>

<response>-85, 12, 34, 36, 67</response>


input: Carry out the bubble sort algorithm on 22, -31, 0, 59, 86, -11, -83, 75, 96 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [22, -31, 0, 59, 86, -11, -83, 75, 96]

Pass 1:
  Compare 22 and -31
  Swap 22 and -31
  List after swap: [-31, 22, 0, 59, 86, -11, -83, 75, 96]
  Compare 22 and 0
  Swap 22 and 0
  List after swap: [-31, 0, 22, 59, 86, -11, -83, 75, 96]
  Compare 22 and 59
  No swap needed
  Compare 59 and 86
  No swap needed
  Compare 86 and -11
  Swap 86 and -11
  List after swap: [-31, 0, 22, 59, -11, 86, -83, 75, 96]
  Compare 86 and -83
  Swap 86 and -83
  List after swap: [-31, 0, 22, 59, -11, -83, 86, 75, 96]
  Compare 86 and 75
  Swap 86 and 75
  List after swap: [-31, 0, 22, 59, -11, -83, 75, 86, 96]
  Compare 86 and 96
  No swap needed

Pass 2:
  Compare -31 and 0
  No swap needed
  Compare 0 and 22
  No swap needed
  Compare 22 and 59
  No swap needed
  Compare 59 and -11
  Swap 59 and -11
  List after swap: [-31, 0, 22, -11, 59, -83, 75, 86, 96]
  Compare 59 and -83
  Swap 59 and -83
  List after swap: [-31, 0, 22, -11, -83, 59, 75, 86, 96]
  Compare 59 and 75
  No swap needed
  Compare 75 and 86
  No swap needed

Pass 3:
  Compare -31 and 0
  No swap needed
  Compare 0 and 22
  No swap needed
  Compare 22 and -11
  Swap 22 and -11
  List after swap: [-31, 0, -11, 22, -83, 59, 75, 86, 96]
  Compare 22 and -83
  Swap 22 and -83
  List after swap: [-31, 0, -11, -83, 22, 59, 75, 86, 96]
  Compare 22 and 59
  No swap needed
  Compare 59 and 75
  No swap needed

Pass 4:
  Compare -31 and 0
  No swap needed
  Compare 0 and -11
  Swap 0 and -11
  List after swap: [-31, -11, 0, -83, 22, 59, 75, 86, 96]
  Compare 0 and -83
  Swap 0 and -83
  List after swap: [-31, -11, -83, 0, 22, 59, 75, 86, 96]
  Compare 0 and 22
  No swap needed
  Compare 22 and 59
  No swap needed

Pass 5:
  Compare -31 and -11
  No swap needed
  Compare -11 and -83
  Swap -11 and -83
  List after swap: [-31, -83, -11, 0, 22, 59, 75, 86, 96]
  Compare -11 and 0
  No swap needed
  Compare 0 and 22
  No swap needed

Pass 6:
  Compare -31 and -83
  Swap -31 and -83
  List after swap: [-83, -31, -11, 0, 22, 59, 75, 86, 96]
  Compare -31 and -11
  No swap needed
  Compare -11 and 0
  No swap needed

Pass 7:
  Compare -83 and -31
  No swap needed
  Compare -31 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -31, -11, 0, 22, 59, 75, 86, 96]
</think>

<response>-83, -31, -11, 0, 22, 59, 75, 86, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 23, -32, -47, -95, 18, -56, 31, -35, 7, 92.

output:
<think>
Initial list: [23, -32, -47, -95, 18, -56, 31, -35, 7, 92]

Pass 1:
  Compare 23 and -32
  Swap 23 and -32
  List after swap: [-32, 23, -47, -95, 18, -56, 31, -35, 7, 92]
  Compare 23 and -47
  Swap 23 and -47
  List after swap: [-32, -47, 23, -95, 18, -56, 31, -35, 7, 92]
  Compare 23 and -95
  Swap 23 and -95
  List after swap: [-32, -47, -95, 23, 18, -56, 31, -35, 7, 92]
  Compare 23 and 18
  Swap 23 and 18
  List after swap: [-32, -47, -95, 18, 23, -56, 31, -35, 7, 92]
  Compare 23 and -56
  Swap 23 and -56
  List after swap: [-32, -47, -95, 18, -56, 23, 31, -35, 7, 92]
  Compare 23 and 31
  No swap needed
  Compare 31 and -35
  Swap 31 and -35
  List after swap: [-32, -47, -95, 18, -56, 23, -35, 31, 7, 92]
  Compare 31 and 7
  Swap 31 and 7
  List after swap: [-32, -47, -95, 18, -56, 23, -35, 7, 31, 92]
  Compare 31 and 92
  No swap needed

Pass 2:
  Compare -32 and -47
  Swap -32 and -47
  List after swap: [-47, -32, -95, 18, -56, 23, -35, 7, 31, 92]
  Compare -32 and -95
  Swap -32 and -95
  List after swap: [-47, -95, -32, 18, -56, 23, -35, 7, 31, 92]
  Compare -32 and 18
  No swap needed
  Compare 18 and -56
  Swap 18 and -56
  List after swap: [-47, -95, -32, -56, 18, 23, -35, 7, 31, 92]
  Compare 18 and 23
  No swap needed
  Compare 23 and -35
  Swap 23 and -35
  List after swap: [-47, -95, -32, -56, 18, -35, 23, 7, 31, 92]
  Compare 23 and 7
  Swap 23 and 7
  List after swap: [-47, -95, -32, -56, 18, -35, 7, 23, 31, 92]
  Compare 23 and 31
  No swap needed

Pass 3:
  Compare -47 and -95
  Swap -47 and -95
  List after swap: [-95, -47, -32, -56, 18, -35, 7, 23, 31, 92]
  Compare -47 and -32
  No swap needed
  Compare -32 and -56
  Swap -32 and -56
  List after swap: [-95, -47, -56, -32, 18, -35, 7, 23, 31, 92]
  Compare -32 and 18
  No swap needed
  Compare 18 and -35
  Swap 18 and -35
  List after swap: [-95, -47, -56, -32, -35, 18, 7, 23, 31, 92]
  Compare 18 and 7
  Swap 18 and 7
  List after swap: [-95, -47, -56, -32, -35, 7, 18, 23, 31, 92]
  Compare 18 and 23
  No swap needed

Pass 4:
  Compare -95 and -47
  No swap needed
  Compare -47 and -56
  Swap -47 and -56
  List after swap: [-95, -56, -47, -32, -35, 7, 18, 23, 31, 92]
  Compare -47 and -32
  No swap needed
  Compare -32 and -35
  Swap -32 and -35
  List after swap: [-95, -56, -47, -35, -32, 7, 18, 23, 31, 92]
  Compare -32 and 7
  No swap needed
  Compare 7 and 18
  No swap needed

Pass 5:
  Compare -95 and -56
  No swap needed
  Compare -56 and -47
  No swap needed
  Compare -47 and -35
  No swap needed
  Compare -35 and -32
  No swap needed
  Compare -32 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -56, -47, -35, -32, 7, 18, 23, 31, 92]
</think>

<response>-95, -56, -47, -35, -32, 7, 18, 23, 31, 92</response>


input: Perform a bubble sort on the integers 32, 24, -92, -47, 20, 53, -90, 33, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [32, 24, -92, -47, 20, 53, -90, 33]

Pass 1:
  Compare 32 and 24
  Swap 32 and 24
  List after swap: [24, 32, -92, -47, 20, 53, -90, 33]
  Compare 32 and -92
  Swap 32 and -92
  List after swap: [24, -92, 32, -47, 20, 53, -90, 33]
  Compare 32 and -47
  Swap 32 and -47
  List after swap: [24, -92, -47, 32, 20, 53, -90, 33]
  Compare 32 and 20
  Swap 32 and 20
  List after swap: [24, -92, -47, 20, 32, 53, -90, 33]
  Compare 32 and 53
  No swap needed
  Compare 53 and -90
  Swap 53 and -90
  List after swap: [24, -92, -47, 20, 32, -90, 53, 33]
  Compare 53 and 33
  Swap 53 and 33
  List after swap: [24, -92, -47, 20, 32, -90, 33, 53]

Pass 2:
  Compare 24 and -92
  Swap 24 and -92
  List after swap: [-92, 24, -47, 20, 32, -90, 33, 53]
  Compare 24 and -47
  Swap 24 and -47
  List after swap: [-92, -47, 24, 20, 32, -90, 33, 53]
  Compare 24 and 20
  Swap 24 and 20
  List after swap: [-92, -47, 20, 24, 32, -90, 33, 53]
  Compare 24 and 32
  No swap needed
  Compare 32 and -90
  Swap 32 and -90
  List after swap: [-92, -47, 20, 24, -90, 32, 33, 53]
  Compare 32 and 33
  No swap needed

Pass 3:
  Compare -92 and -47
  No swap needed
  Compare -47 and 20
  No swap needed
  Compare 20 and 24
  No swap needed
  Compare 24 and -90
  Swap 24 and -90
  List after swap: [-92, -47, 20, -90, 24, 32, 33, 53]
  Compare 24 and 32
  No swap needed

Pass 4:
  Compare -92 and -47
  No swap needed
  Compare -47 and 20
  No swap needed
  Compare 20 and -90
  Swap 20 and -90
  List after swap: [-92, -47, -90, 20, 24, 32, 33, 53]
  Compare 20 and 24
  No swap needed

Pass 5:
  Compare -92 and -47
  No swap needed
  Compare -47 and -90
  Swap -47 and -90
  List after swap: [-92, -90, -47, 20, 24, 32, 33, 53]
  Compare -47 and 20
  No swap needed

Pass 6:
  Compare -92 and -90
  No swap needed
  Compare -90 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -90, -47, 20, 24, 32, 33, 53]
</think>

<response>-92, -90, -47, 20, 24, 32, 33, 53</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 95, 39, -91, -17, 63, 2, 69, -38.

output:
<think>
Initial list: [95, 39, -91, -17, 63, 2, 69, -38]

Pass 1:
  Compare 95 and 39
  Swap 95 and 39
  List after swap: [39, 95, -91, -17, 63, 2, 69, -38]
  Compare 95 and -91
  Swap 95 and -91
  List after swap: [39, -91, 95, -17, 63, 2, 69, -38]
  Compare 95 and -17
  Swap 95 and -17
  List after swap: [39, -91, -17, 95, 63, 2, 69, -38]
  Compare 95 and 63
  Swap 95 and 63
  List after swap: [39, -91, -17, 63, 95, 2, 69, -38]
  Compare 95 and 2
  Swap 95 and 2
  List after swap: [39, -91, -17, 63, 2, 95, 69, -38]
  Compare 95 and 69
  Swap 95 and 69
  List after swap: [39, -91, -17, 63, 2, 69, 95, -38]
  Compare 95 and -38
  Swap 95 and -38
  List after swap: [39, -91, -17, 63, 2, 69, -38, 95]

Pass 2:
  Compare 39 and -91
  Swap 39 and -91
  List after swap: [-91, 39, -17, 63, 2, 69, -38, 95]
  Compare 39 and -17
  Swap 39 and -17
  List after swap: [-91, -17, 39, 63, 2, 69, -38, 95]
  Compare 39 and 63
  No swap needed
  Compare 63 and 2
  Swap 63 and 2
  List after swap: [-91, -17, 39, 2, 63, 69, -38, 95]
  Compare 63 and 69
  No swap needed
  Compare 69 and -38
  Swap 69 and -38
  List after swap: [-91, -17, 39, 2, 63, -38, 69, 95]

Pass 3:
  Compare -91 and -17
  No swap needed
  Compare -17 and 39
  No swap needed
  Compare 39 and 2
  Swap 39 and 2
  List after swap: [-91, -17, 2, 39, 63, -38, 69, 95]
  Compare 39 and 63
  No swap needed
  Compare 63 and -38
  Swap 63 and -38
  List after swap: [-91, -17, 2, 39, -38, 63, 69, 95]

Pass 4:
  Compare -91 and -17
  No swap needed
  Compare -17 and 2
  No swap needed
  Compare 2 and 39
  No swap needed
  Compare 39 and -38
  Swap 39 and -38
  List after swap: [-91, -17, 2, -38, 39, 63, 69, 95]

Pass 5:
  Compare -91 and -17
  No swap needed
  Compare -17 and 2
  No swap needed
  Compare 2 and -38
  Swap 2 and -38
  List after swap: [-91, -17, -38, 2, 39, 63, 69, 95]

Pass 6:
  Compare -91 and -17
  No swap needed
  Compare -17 and -38
  Swap -17 and -38
  List after swap: [-91, -38, -17, 2, 39, 63, 69, 95]

Pass 7:
  Compare -91 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -38, -17, 2, 39, 63, 69, 95]
</think>

<response>-91, -38, -17, 2, 39, 63, 69, 95</response>


input: Demonstrate how bubble sort orders the integers -78, -48, 15, -3, -12 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-78, -48, 15, -3, -12]

Pass 1:
  Compare -78 and -48
  No swap needed
  Compare -48 and 15
  No swap needed
  Compare 15 and -3
  Swap 15 and -3
  List after swap: [-78, -48, -3, 15, -12]
  Compare 15 and -12
  Swap 15 and -12
  List after swap: [-78, -48, -3, -12, 15]

Pass 2:
  Compare -78 and -48
  No swap needed
  Compare -48 and -3
  No swap needed
  Compare -3 and -12
  Swap -3 and -12
  List after swap: [-78, -48, -12, -3, 15]

Pass 3:
  Compare -78 and -48
  No swap needed
  Compare -48 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -48, -12, -3, 15]
</think>

<response>-78, -48, -12, -3, 15</response>


input: Demonstrate how bubble sort orders the integers 92, -7, 12, 37, 57, -1, 97, 44, -40 in ascending sequence, showing all steps.

output:
<think>
Initial list: [92, -7, 12, 37, 57, -1, 97, 44, -40]

Pass 1:
  Compare 92 and -7
  Swap 92 and -7
  List after swap: [-7, 92, 12, 37, 57, -1, 97, 44, -40]
  Compare 92 and 12
  Swap 92 and 12
  List after swap: [-7, 12, 92, 37, 57, -1, 97, 44, -40]
  Compare 92 and 37
  Swap 92 and 37
  List after swap: [-7, 12, 37, 92, 57, -1, 97, 44, -40]
  Compare 92 and 57
  Swap 92 and 57
  List after swap: [-7, 12, 37, 57, 92, -1, 97, 44, -40]
  Compare 92 and -1
  Swap 92 and -1
  List after swap: [-7, 12, 37, 57, -1, 92, 97, 44, -40]
  Compare 92 and 97
  No swap needed
  Compare 97 and 44
  Swap 97 and 44
  List after swap: [-7, 12, 37, 57, -1, 92, 44, 97, -40]
  Compare 97 and -40
  Swap 97 and -40
  List after swap: [-7, 12, 37, 57, -1, 92, 44, -40, 97]

Pass 2:
  Compare -7 and 12
  No swap needed
  Compare 12 and 37
  No swap needed
  Compare 37 and 57
  No swap needed
  Compare 57 and -1
  Swap 57 and -1
  List after swap: [-7, 12, 37, -1, 57, 92, 44, -40, 97]
  Compare 57 and 92
  No swap needed
  Compare 92 and 44
  Swap 92 and 44
  List after swap: [-7, 12, 37, -1, 57, 44, 92, -40, 97]
  Compare 92 and -40
  Swap 92 and -40
  List after swap: [-7, 12, 37, -1, 57, 44, -40, 92, 97]

Pass 3:
  Compare -7 and 12
  No swap needed
  Compare 12 and 37
  No swap needed
  Compare 37 and -1
  Swap 37 and -1
  List after swap: [-7, 12, -1, 37, 57, 44, -40, 92, 97]
  Compare 37 and 57
  No swap needed
  Compare 57 and 44
  Swap 57 and 44
  List after swap: [-7, 12, -1, 37, 44, 57, -40, 92, 97]
  Compare 57 and -40
  Swap 57 and -40
  List after swap: [-7, 12, -1, 37, 44, -40, 57, 92, 97]

Pass 4:
  Compare -7 and 12
  No swap needed
  Compare 12 and -1
  Swap 12 and -1
  List after swap: [-7, -1, 12, 37, 44, -40, 57, 92, 97]
  Compare 12 and 37
  No swap needed
  Compare 37 and 44
  No swap needed
  Compare 44 and -40
  Swap 44 and -40
  List after swap: [-7, -1, 12, 37, -40, 44, 57, 92, 97]

Pass 5:
  Compare -7 and -1
  No swap needed
  Compare -1 and 12
  No swap needed
  Compare 12 and 37
  No swap needed
  Compare 37 and -40
  Swap 37 and -40
  List after swap: [-7, -1, 12, -40, 37, 44, 57, 92, 97]

Pass 6:
  Compare -7 and -1
  No swap needed
  Compare -1 and 12
  No swap needed
  Compare 12 and -40
  Swap 12 and -40
  List after swap: [-7, -1, -40, 12, 37, 44, 57, 92, 97]

Pass 7:
  Compare -7 and -1
  No swap needed
  Compare -1 and -40
  Swap -1 and -40
  List after swap: [-7, -40, -1, 12, 37, 44, 57, 92, 97]

Pass 8:
  Compare -7 and -40
  Swap -7 and -40
  List after swap: [-40, -7, -1, 12, 37, 44, 57, 92, 97]

Pass 9:
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -7, -1, 12, 37, 44, 57, 92, 97]
</think>

<response>-40, -7, -1, 12, 37, 44, 57, 92, 97</response>


input: Sort the list -20, 26, -14, -70 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-20, 26, -14, -70]

Pass 1:
  Compare -20 and 26
  No swap needed
  Compare 26 and -14
  Swap 26 and -14
  List after swap: [-20, -14, 26, -70]
  Compare 26 and -70
  Swap 26 and -70
  List after swap: [-20, -14, -70, 26]

Pass 2:
  Compare -20 and -14
  No swap needed
  Compare -14 and -70
  Swap -14 and -70
  List after swap: [-20, -70, -14, 26]

Pass 3:
  Compare -20 and -70
  Swap -20 and -70
  List after swap: [-70, -20, -14, 26]

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

Final sorted list: [-70, -20, -14, 26]
</think>

<response>-70, -20, -14, 26</response>


input: Arrange the numbers 86, 23, -26, -22 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [86, 23, -26, -22]

Pass 1:
  Compare 86 and 23
  Swap 86 and 23
  List after swap: [23, 86, -26, -22]
  Compare 86 and -26
  Swap 86 and -26
  List after swap: [23, -26, 86, -22]
  Compare 86 and -22
  Swap 86 and -22
  List after swap: [23, -26, -22, 86]

Pass 2:
  Compare 23 and -26
  Swap 23 and -26
  List after swap: [-26, 23, -22, 86]
  Compare 23 and -22
  Swap 23 and -22
  List after swap: [-26, -22, 23, 86]

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

Final sorted list: [-26, -22, 23, 86]
</think>

<response>-26, -22, 23, 86</response>


input: Sort these integers -81, -43, -23, 91, -74 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-81, -43, -23, 91, -74]

Pass 1:
  Compare -81 and -43
  No swap needed
  Compare -43 and -23
  No swap needed
  Compare -23 and 91
  No swap needed
  Compare 91 and -74
  Swap 91 and -74
  List after swap: [-81, -43, -23, -74, 91]

Pass 2:
  Compare -81 and -43
  No swap needed
  Compare -43 and -23
  No swap needed
  Compare -23 and -74
  Swap -23 and -74
  List after swap: [-81, -43, -74, -23, 91]

Pass 3:
  Compare -81 and -43
  No swap needed
  Compare -43 and -74
  Swap -43 and -74
  List after swap: [-81, -74, -43, -23, 91]

Pass 4:
  Compare -81 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -74, -43, -23, 91]
</think>

<response>-81, -74, -43, -23, 91</response>


input: Implement bubble sort on 55, -19, 27, 37, -56, 12, -80 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [55, -19, 27, 37, -56, 12, -80]

Pass 1:
  Compare 55 and -19
  Swap 55 and -19
  List after swap: [-19, 55, 27, 37, -56, 12, -80]
  Compare 55 and 27
  Swap 55 and 27
  List after swap: [-19, 27, 55, 37, -56, 12, -80]
  Compare 55 and 37
  Swap 55 and 37
  List after swap: [-19, 27, 37, 55, -56, 12, -80]
  Compare 55 and -56
  Swap 55 and -56
  List after swap: [-19, 27, 37, -56, 55, 12, -80]
  Compare 55 and 12
  Swap 55 and 12
  List after swap: [-19, 27, 37, -56, 12, 55, -80]
  Compare 55 and -80
  Swap 55 and -80
  List after swap: [-19, 27, 37, -56, 12, -80, 55]

Pass 2:
  Compare -19 and 27
  No swap needed
  Compare 27 and 37
  No swap needed
  Compare 37 and -56
  Swap 37 and -56
  List after swap: [-19, 27, -56, 37, 12, -80, 55]
  Compare 37 and 12
  Swap 37 and 12
  List after swap: [-19, 27, -56, 12, 37, -80, 55]
  Compare 37 and -80
  Swap 37 and -80
  List after swap: [-19, 27, -56, 12, -80, 37, 55]

Pass 3:
  Compare -19 and 27
  No swap needed
  Compare 27 and -56
  Swap 27 and -56
  List after swap: [-19, -56, 27, 12, -80, 37, 55]
  Compare 27 and 12
  Swap 27 and 12
  List after swap: [-19, -56, 12, 27, -80, 37, 55]
  Compare 27 and -80
  Swap 27 and -80
  List after swap: [-19, -56, 12, -80, 27, 37, 55]

Pass 4:
  Compare -19 and -56
  Swap -19 and -56
  List after swap: [-56, -19, 12, -80, 27, 37, 55]
  Compare -19 and 12
  No swap needed
  Compare 12 and -80
  Swap 12 and -80
  List after swap: [-56, -19, -80, 12, 27, 37, 55]

Pass 5:
  Compare -56 and -19
  No swap needed
  Compare -19 and -80
  Swap -19 and -80
  List after swap: [-56, -80, -19, 12, 27, 37, 55]

Pass 6:
  Compare -56 and -80
  Swap -56 and -80
  List after swap: [-80, -56, -19, 12, 27, 37, 55]

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

Final sorted list: [-80, -56, -19, 12, 27, 37, 55]
</think>

<response>-80, -56, -19, 12, 27, 37, 55</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -12, -29, -71, -40.

output:
<think>
Initial list: [-12, -29, -71, -40]

Pass 1:
  Compare -12 and -29
  Swap -12 and -29
  List after swap: [-29, -12, -71, -40]
  Compare -12 and -71
  Swap -12 and -71
  List after swap: [-29, -71, -12, -40]
  Compare -12 and -40
  Swap -12 and -40
  List after swap: [-29, -71, -40, -12]

Pass 2:
  Compare -29 and -71
  Swap -29 and -71
  List after swap: [-71, -29, -40, -12]
  Compare -29 and -40
  Swap -29 and -40
  List after swap: [-71, -40, -29, -12]

Pass 3:
  Compare -71 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -40, -29, -12]
</think>

<response>-71, -40, -29, -12</response>


input: Implement bubble sort on 90, 22, 86, 79, -29, 48, 45, -87 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [90, 22, 86, 79, -29, 48, 45, -87]

Pass 1:
  Compare 90 and 22
  Swap 90 and 22
  List after swap: [22, 90, 86, 79, -29, 48, 45, -87]
  Compare 90 and 86
  Swap 90 and 86
  List after swap: [22, 86, 90, 79, -29, 48, 45, -87]
  Compare 90 and 79
  Swap 90 and 79
  List after swap: [22, 86, 79, 90, -29, 48, 45, -87]
  Compare 90 and -29
  Swap 90 and -29
  List after swap: [22, 86, 79, -29, 90, 48, 45, -87]
  Compare 90 and 48
  Swap 90 and 48
  List after swap: [22, 86, 79, -29, 48, 90, 45, -87]
  Compare 90 and 45
  Swap 90 and 45
  List after swap: [22, 86, 79, -29, 48, 45, 90, -87]
  Compare 90 and -87
  Swap 90 and -87
  List after swap: [22, 86, 79, -29, 48, 45, -87, 90]

Pass 2:
  Compare 22 and 86
  No swap needed
  Compare 86 and 79
  Swap 86 and 79
  List after swap: [22, 79, 86, -29, 48, 45, -87, 90]
  Compare 86 and -29
  Swap 86 and -29
  List after swap: [22, 79, -29, 86, 48, 45, -87, 90]
  Compare 86 and 48
  Swap 86 and 48
  List after swap: [22, 79, -29, 48, 86, 45, -87, 90]
  Compare 86 and 45
  Swap 86 and 45
  List after swap: [22, 79, -29, 48, 45, 86, -87, 90]
  Compare 86 and -87
  Swap 86 and -87
  List after swap: [22, 79, -29, 48, 45, -87, 86, 90]

Pass 3:
  Compare 22 and 79
  No swap needed
  Compare 79 and -29
  Swap 79 and -29
  List after swap: [22, -29, 79, 48, 45, -87, 86, 90]
  Compare 79 and 48
  Swap 79 and 48
  List after swap: [22, -29, 48, 79, 45, -87, 86, 90]
  Compare 79 and 45
  Swap 79 and 45
  List after swap: [22, -29, 48, 45, 79, -87, 86, 90]
  Compare 79 and -87
  Swap 79 and -87
  List after swap: [22, -29, 48, 45, -87, 79, 86, 90]

Pass 4:
  Compare 22 and -29
  Swap 22 and -29
  List after swap: [-29, 22, 48, 45, -87, 79, 86, 90]
  Compare 22 and 48
  No swap needed
  Compare 48 and 45
  Swap 48 and 45
  List after swap: [-29, 22, 45, 48, -87, 79, 86, 90]
  Compare 48 and -87
  Swap 48 and -87
  List after swap: [-29, 22, 45, -87, 48, 79, 86, 90]

Pass 5:
  Compare -29 and 22
  No swap needed
  Compare 22 and 45
  No swap needed
  Compare 45 and -87
  Swap 45 and -87
  List after swap: [-29, 22, -87, 45, 48, 79, 86, 90]

Pass 6:
  Compare -29 and 22
  No swap needed
  Compare 22 and -87
  Swap 22 and -87
  List after swap: [-29, -87, 22, 45, 48, 79, 86, 90]

Pass 7:
  Compare -29 and -87
  Swap -29 and -87
  List after swap: [-87, -29, 22, 45, 48, 79, 86, 90]

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

Final sorted list: [-87, -29, 22, 45, 48, 79, 86, 90]
</think>

<response>-87, -29, 22, 45, 48, 79, 86, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -22, -93, 92, 50, -5, -73, -19, 36, 96.

output:
<think>
Initial list: [-22, -93, 92, 50, -5, -73, -19, 36, 96]

Pass 1:
  Compare -22 and -93
  Swap -22 and -93
  List after swap: [-93, -22, 92, 50, -5, -73, -19, 36, 96]
  Compare -22 and 92
  No swap needed
  Compare 92 and 50
  Swap 92 and 50
  List after swap: [-93, -22, 50, 92, -5, -73, -19, 36, 96]
  Compare 92 and -5
  Swap 92 and -5
  List after swap: [-93, -22, 50, -5, 92, -73, -19, 36, 96]
  Compare 92 and -73
  Swap 92 and -73
  List after swap: [-93, -22, 50, -5, -73, 92, -19, 36, 96]
  Compare 92 and -19
  Swap 92 and -19
  List after swap: [-93, -22, 50, -5, -73, -19, 92, 36, 96]
  Compare 92 and 36
  Swap 92 and 36
  List after swap: [-93, -22, 50, -5, -73, -19, 36, 92, 96]
  Compare 92 and 96
  No swap needed

Pass 2:
  Compare -93 and -22
  No swap needed
  Compare -22 and 50
  No swap needed
  Compare 50 and -5
  Swap 50 and -5
  List after swap: [-93, -22, -5, 50, -73, -19, 36, 92, 96]
  Compare 50 and -73
  Swap 50 and -73
  List after swap: [-93, -22, -5, -73, 50, -19, 36, 92, 96]
  Compare 50 and -19
  Swap 50 and -19
  List after swap: [-93, -22, -5, -73, -19, 50, 36, 92, 96]
  Compare 50 and 36
  Swap 50 and 36
  List after swap: [-93, -22, -5, -73, -19, 36, 50, 92, 96]
  Compare 50 and 92
  No swap needed

Pass 3:
  Compare -93 and -22
  No swap needed
  Compare -22 and -5
  No swap needed
  Compare -5 and -73
  Swap -5 and -73
  List after swap: [-93, -22, -73, -5, -19, 36, 50, 92, 96]
  Compare -5 and -19
  Swap -5 and -19
  List after swap: [-93, -22, -73, -19, -5, 36, 50, 92, 96]
  Compare -5 and 36
  No swap needed
  Compare 36 and 50
  No swap needed

Pass 4:
  Compare -93 and -22
  No swap needed
  Compare -22 and -73
  Swap -22 and -73
  List after swap: [-93, -73, -22, -19, -5, 36, 50, 92, 96]
  Compare -22 and -19
  No swap needed
  Compare -19 and -5
  No swap needed
  Compare -5 and 36
  No swap needed

Pass 5:
  Compare -93 and -73
  No swap needed
  Compare -73 and -22
  No swap needed
  Compare -22 and -19
  No swap needed
  Compare -19 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -73, -22, -19, -5, 36, 50, 92, 96]
</think>

<response>-93, -73, -22, -19, -5, 36, 50, 92, 96</response>


input: Use the bubble sort technique to reorder -20, 92, -91, -65, -26, -51, 22 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-20, 92, -91, -65, -26, -51, 22]

Pass 1:
  Compare -20 and 92
  No swap needed
  Compare 92 and -91
  Swap 92 and -91
  List after swap: [-20, -91, 92, -65, -26, -51, 22]
  Compare 92 and -65
  Swap 92 and -65
  List after swap: [-20, -91, -65, 92, -26, -51, 22]
  Compare 92 and -26
  Swap 92 and -26
  List after swap: [-20, -91, -65, -26, 92, -51, 22]
  Compare 92 and -51
  Swap 92 and -51
  List after swap: [-20, -91, -65, -26, -51, 92, 22]
  Compare 92 and 22
  Swap 92 and 22
  List after swap: [-20, -91, -65, -26, -51, 22, 92]

Pass 2:
  Compare -20 and -91
  Swap -20 and -91
  List after swap: [-91, -20, -65, -26, -51, 22, 92]
  Compare -20 and -65
  Swap -20 and -65
  List after swap: [-91, -65, -20, -26, -51, 22, 92]
  Compare -20 and -26
  Swap -20 and -26
  List after swap: [-91, -65, -26, -20, -51, 22, 92]
  Compare -20 and -51
  Swap -20 and -51
  List after swap: [-91, -65, -26, -51, -20, 22, 92]
  Compare -20 and 22
  No swap needed

Pass 3:
  Compare -91 and -65
  No swap needed
  Compare -65 and -26
  No swap needed
  Compare -26 and -51
  Swap -26 and -51
  List after swap: [-91, -65, -51, -26, -20, 22, 92]
  Compare -26 and -20
  No swap needed

Pass 4:
  Compare -91 and -65
  No swap needed
  Compare -65 and -51
  No swap needed
  Compare -51 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -65, -51, -26, -20, 22, 92]
</think>

<response>-91, -65, -51, -26, -20, 22, 92</response>


input: Implement bubble sort on 20, 82, 46, 94, -7, 90, -1, -69, -73, -79 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [20, 82, 46, 94, -7, 90, -1, -69, -73, -79]

Pass 1:
  Compare 20 and 82
  No swap needed
  Compare 82 and 46
  Swap 82 and 46
  List after swap: [20, 46, 82, 94, -7, 90, -1, -69, -73, -79]
  Compare 82 and 94
  No swap needed
  Compare 94 and -7
  Swap 94 and -7
  List after swap: [20, 46, 82, -7, 94, 90, -1, -69, -73, -79]
  Compare 94 and 90
  Swap 94 and 90
  List after swap: [20, 46, 82, -7, 90, 94, -1, -69, -73, -79]
  Compare 94 and -1
  Swap 94 and -1
  List after swap: [20, 46, 82, -7, 90, -1, 94, -69, -73, -79]
  Compare 94 and -69
  Swap 94 and -69
  List after swap: [20, 46, 82, -7, 90, -1, -69, 94, -73, -79]
  Compare 94 and -73
  Swap 94 and -73
  List after swap: [20, 46, 82, -7, 90, -1, -69, -73, 94, -79]
  Compare 94 and -79
  Swap 94 and -79
  List after swap: [20, 46, 82, -7, 90, -1, -69, -73, -79, 94]

Pass 2:
  Compare 20 and 46
  No swap needed
  Compare 46 and 82
  No swap needed
  Compare 82 and -7
  Swap 82 and -7
  List after swap: [20, 46, -7, 82, 90, -1, -69, -73, -79, 94]
  Compare 82 and 90
  No swap needed
  Compare 90 and -1
  Swap 90 and -1
  List after swap: [20, 46, -7, 82, -1, 90, -69, -73, -79, 94]
  Compare 90 and -69
  Swap 90 and -69
  List after swap: [20, 46, -7, 82, -1, -69, 90, -73, -79, 94]
  Compare 90 and -73
  Swap 90 and -73
  List after swap: [20, 46, -7, 82, -1, -69, -73, 90, -79, 94]
  Compare 90 and -79
  Swap 90 and -79
  List after swap: [20, 46, -7, 82, -1, -69, -73, -79, 90, 94]

Pass 3:
  Compare 20 and 46
  No swap needed
  Compare 46 and -7
  Swap 46 and -7
  List after swap: [20, -7, 46, 82, -1, -69, -73, -79, 90, 94]
  Compare 46 and 82
  No swap needed
  Compare 82 and -1
  Swap 82 and -1
  List after swap: [20, -7, 46, -1, 82, -69, -73, -79, 90, 94]
  Compare 82 and -69
  Swap 82 and -69
  List after swap: [20, -7, 46, -1, -69, 82, -73, -79, 90, 94]
  Compare 82 and -73
  Swap 82 and -73
  List after swap: [20, -7, 46, -1, -69, -73, 82, -79, 90, 94]
  Compare 82 and -79
  Swap 82 and -79
  List after swap: [20, -7, 46, -1, -69, -73, -79, 82, 90, 94]

Pass 4:
  Compare 20 and -7
  Swap 20 and -7
  List after swap: [-7, 20, 46, -1, -69, -73, -79, 82, 90, 94]
  Compare 20 and 46
  No swap needed
  Compare 46 and -1
  Swap 46 and -1
  List after swap: [-7, 20, -1, 46, -69, -73, -79, 82, 90, 94]
  Compare 46 and -69
  Swap 46 and -69
  List after swap: [-7, 20, -1, -69, 46, -73, -79, 82, 90, 94]
  Compare 46 and -73
  Swap 46 and -73
  List after swap: [-7, 20, -1, -69, -73, 46, -79, 82, 90, 94]
  Compare 46 and -79
  Swap 46 and -79
  List after swap: [-7, 20, -1, -69, -73, -79, 46, 82, 90, 94]

Pass 5:
  Compare -7 and 20
  No swap needed
  Compare 20 and -1
  Swap 20 and -1
  List after swap: [-7, -1, 20, -69, -73, -79, 46, 82, 90, 94]
  Compare 20 and -69
  Swap 20 and -69
  List after swap: [-7, -1, -69, 20, -73, -79, 46, 82, 90, 94]
  Compare 20 and -73
  Swap 20 and -73
  List after swap: [-7, -1, -69, -73, 20, -79, 46, 82, 90, 94]
  Compare 20 and -79
  Swap 20 and -79
  List after swap: [-7, -1, -69, -73, -79, 20, 46, 82, 90, 94]

Pass 6:
  Compare -7 and -1
  No swap needed
  Compare -1 and -69
  Swap -1 and -69
  List after swap: [-7, -69, -1, -73, -79, 20, 46, 82, 90, 94]
  Compare -1 and -73
  Swap -1 and -73
  List after swap: [-7, -69, -73, -1, -79, 20, 46, 82, 90, 94]
  Compare -1 and -79
  Swap -1 and -79
  List after swap: [-7, -69, -73, -79, -1, 20, 46, 82, 90, 94]

Pass 7:
  Compare -7 and -69
  Swap -7 and -69
  List after swap: [-69, -7, -73, -79, -1, 20, 46, 82, 90, 94]
  Compare -7 and -73
  Swap -7 and -73
  List after swap: [-69, -73, -7, -79, -1, 20, 46, 82, 90, 94]
  Compare -7 and -79
  Swap -7 and -79
  List after swap: [-69, -73, -79, -7, -1, 20, 46, 82, 90, 94]

Pass 8:
  Compare -69 and -73
  Swap -69 and -73
  List after swap: [-73, -69, -79, -7, -1, 20, 46, 82, 90, 94]
  Compare -69 and -79
  Swap -69 and -79
  List after swap: [-73, -79, -69, -7, -1, 20, 46, 82, 90, 94]

Pass 9:
  Compare -73 and -79
  Swap -73 and -79
  List after swap: [-79, -73, -69, -7, -1, 20, 46, 82, 90, 94]

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

Final sorted list: [-79, -73, -69, -7, -1, 20, 46, 82, 90, 94]
</think>

<response>-79, -73, -69, -7, -1, 20, 46, 82, 90, 94</response>


input: Execute bubble sort to sort -5, -21, 97, -97, -73, -9, 75, 85, -61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-5, -21, 97, -97, -73, -9, 75, 85, -61]

Pass 1:
  Compare -5 and -21
  Swap -5 and -21
  List after swap: [-21, -5, 97, -97, -73, -9, 75, 85, -61]
  Compare -5 and 97
  No swap needed
  Compare 97 and -97
  Swap 97 and -97
  List after swap: [-21, -5, -97, 97, -73, -9, 75, 85, -61]
  Compare 97 and -73
  Swap 97 and -73
  List after swap: [-21, -5, -97, -73, 97, -9, 75, 85, -61]
  Compare 97 and -9
  Swap 97 and -9
  List after swap: [-21, -5, -97, -73, -9, 97, 75, 85, -61]
  Compare 97 and 75
  Swap 97 and 75
  List after swap: [-21, -5, -97, -73, -9, 75, 97, 85, -61]
  Compare 97 and 85
  Swap 97 and 85
  List after swap: [-21, -5, -97, -73, -9, 75, 85, 97, -61]
  Compare 97 and -61
  Swap 97 and -61
  List after swap: [-21, -5, -97, -73, -9, 75, 85, -61, 97]

Pass 2:
  Compare -21 and -5
  No swap needed
  Compare -5 and -97
  Swap -5 and -97
  List after swap: [-21, -97, -5, -73, -9, 75, 85, -61, 97]
  Compare -5 and -73
  Swap -5 and -73
  List after swap: [-21, -97, -73, -5, -9, 75, 85, -61, 97]
  Compare -5 and -9
  Swap -5 and -9
  List after swap: [-21, -97, -73, -9, -5, 75, 85, -61, 97]
  Compare -5 and 75
  No swap needed
  Compare 75 and 85
  No swap needed
  Compare 85 and -61
  Swap 85 and -61
  List after swap: [-21, -97, -73, -9, -5, 75, -61, 85, 97]

Pass 3:
  Compare -21 and -97
  Swap -21 and -97
  List after swap: [-97, -21, -73, -9, -5, 75, -61, 85, 97]
  Compare -21 and -73
  Swap -21 and -73
  List after swap: [-97, -73, -21, -9, -5, 75, -61, 85, 97]
  Compare -21 and -9
  No swap needed
  Compare -9 and -5
  No swap needed
  Compare -5 and 75
  No swap needed
  Compare 75 and -61
  Swap 75 and -61
  List after swap: [-97, -73, -21, -9, -5, -61, 75, 85, 97]

Pass 4:
  Compare -97 and -73
  No swap needed
  Compare -73 and -21
  No swap needed
  Compare -21 and -9
  No swap needed
  Compare -9 and -5
  No swap needed
  Compare -5 and -61
  Swap -5 and -61
  List after swap: [-97, -73, -21, -9, -61, -5, 75, 85, 97]

Pass 5:
  Compare -97 and -73
  No swap needed
  Compare -73 and -21
  No swap needed
  Compare -21 and -9
  No swap needed
  Compare -9 and -61
  Swap -9 and -61
  List after swap: [-97, -73, -21, -61, -9, -5, 75, 85, 97]

Pass 6:
  Compare -97 and -73
  No swap needed
  Compare -73 and -21
  No swap needed
  Compare -21 and -61
  Swap -21 and -61
  List after swap: [-97, -73, -61, -21, -9, -5, 75, 85, 97]

Pass 7:
  Compare -97 and -73
  No swap needed
  Compare -73 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -73, -61, -21, -9, -5, 75, 85, 97]
</think>

<response>-97, -73, -61, -21, -9, -5, 75, 85, 97</response>


input: Sort the list -1, 29, -31, -64, -17, -92 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-1, 29, -31, -64, -17, -92]

Pass 1:
  Compare -1 and 29
  No swap needed
  Compare 29 and -31
  Swap 29 and -31
  List after swap: [-1, -31, 29, -64, -17, -92]
  Compare 29 and -64
  Swap 29 and -64
  List after swap: [-1, -31, -64, 29, -17, -92]
  Compare 29 and -17
  Swap 29 and -17
  List after swap: [-1, -31, -64, -17, 29, -92]
  Compare 29 and -92
  Swap 29 and -92
  List after swap: [-1, -31, -64, -17, -92, 29]

Pass 2:
  Compare -1 and -31
  Swap -1 and -31
  List after swap: [-31, -1, -64, -17, -92, 29]
  Compare -1 and -64
  Swap -1 and -64
  List after swap: [-31, -64, -1, -17, -92, 29]
  Compare -1 and -17
  Swap -1 and -17
  List after swap: [-31, -64, -17, -1, -92, 29]
  Compare -1 and -92
  Swap -1 and -92
  List after swap: [-31, -64, -17, -92, -1, 29]

Pass 3:
  Compare -31 and -64
  Swap -31 and -64
  List after swap: [-64, -31, -17, -92, -1, 29]
  Compare -31 and -17
  No swap needed
  Compare -17 and -92
  Swap -17 and -92
  List after swap: [-64, -31, -92, -17, -1, 29]

Pass 4:
  Compare -64 and -31
  No swap needed
  Compare -31 and -92
  Swap -31 and -92
  List after swap: [-64, -92, -31, -17, -1, 29]

Pass 5:
  Compare -64 and -92
  Swap -64 and -92
  List after swap: [-92, -64, -31, -17, -1, 29]

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

Final sorted list: [-92, -64, -31, -17, -1, 29]
</think>

<response>-92, -64, -31, -17, -1, 29</response>


input: Sort the list -56, -78 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-56, -78]

Pass 1:
  Compare -56 and -78
  Swap -56 and -78
  List after swap: [-78, -56]

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

Final sorted list: [-78, -56]
</think>

<response>-78, -56</response>


input: Arrange the numbers -2, 15, -91, -10, 61, -77, 28, 81, 16, -81 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-2, 15, -91, -10, 61, -77, 28, 81, 16, -81]

Pass 1:
  Compare -2 and 15
  No swap needed
  Compare 15 and -91
  Swap 15 and -91
  List after swap: [-2, -91, 15, -10, 61, -77, 28, 81, 16, -81]
  Compare 15 and -10
  Swap 15 and -10
  List after swap: [-2, -91, -10, 15, 61, -77, 28, 81, 16, -81]
  Compare 15 and 61
  No swap needed
  Compare 61 and -77
  Swap 61 and -77
  List after swap: [-2, -91, -10, 15, -77, 61, 28, 81, 16, -81]
  Compare 61 and 28
  Swap 61 and 28
  List after swap: [-2, -91, -10, 15, -77, 28, 61, 81, 16, -81]
  Compare 61 and 81
  No swap needed
  Compare 81 and 16
  Swap 81 and 16
  List after swap: [-2, -91, -10, 15, -77, 28, 61, 16, 81, -81]
  Compare 81 and -81
  Swap 81 and -81
  List after swap: [-2, -91, -10, 15, -77, 28, 61, 16, -81, 81]

Pass 2:
  Compare -2 and -91
  Swap -2 and -91
  List after swap: [-91, -2, -10, 15, -77, 28, 61, 16, -81, 81]
  Compare -2 and -10
  Swap -2 and -10
  List after swap: [-91, -10, -2, 15, -77, 28, 61, 16, -81, 81]
  Compare -2 and 15
  No swap needed
  Compare 15 and -77
  Swap 15 and -77
  List after swap: [-91, -10, -2, -77, 15, 28, 61, 16, -81, 81]
  Compare 15 and 28
  No swap needed
  Compare 28 and 61
  No swap needed
  Compare 61 and 16
  Swap 61 and 16
  List after swap: [-91, -10, -2, -77, 15, 28, 16, 61, -81, 81]
  Compare 61 and -81
  Swap 61 and -81
  List after swap: [-91, -10, -2, -77, 15, 28, 16, -81, 61, 81]

Pass 3:
  Compare -91 and -10
  No swap needed
  Compare -10 and -2
  No swap needed
  Compare -2 and -77
  Swap -2 and -77
  List after swap: [-91, -10, -77, -2, 15, 28, 16, -81, 61, 81]
  Compare -2 and 15
  No swap needed
  Compare 15 and 28
  No swap needed
  Compare 28 and 16
  Swap 28 and 16
  List after swap: [-91, -10, -77, -2, 15, 16, 28, -81, 61, 81]
  Compare 28 and -81
  Swap 28 and -81
  List after swap: [-91, -10, -77, -2, 15, 16, -81, 28, 61, 81]

Pass 4:
  Compare -91 and -10
  No swap needed
  Compare -10 and -77
  Swap -10 and -77
  List after swap: [-91, -77, -10, -2, 15, 16, -81, 28, 61, 81]
  Compare -10 and -2
  No swap needed
  Compare -2 and 15
  No swap needed
  Compare 15 and 16
  No swap needed
  Compare 16 and -81
  Swap 16 and -81
  List after swap: [-91, -77, -10, -2, 15, -81, 16, 28, 61, 81]

Pass 5:
  Compare -91 and -77
  No swap needed
  Compare -77 and -10
  No swap needed
  Compare -10 and -2
  No swap needed
  Compare -2 and 15
  No swap needed
  Compare 15 and -81
  Swap 15 and -81
  List after swap: [-91, -77, -10, -2, -81, 15, 16, 28, 61, 81]

Pass 6:
  Compare -91 and -77
  No swap needed
  Compare -77 and -10
  No swap needed
  Compare -10 and -2
  No swap needed
  Compare -2 and -81
  Swap -2 and -81
  List after swap: [-91, -77, -10, -81, -2, 15, 16, 28, 61, 81]

Pass 7:
  Compare -91 and -77
  No swap needed
  Compare -77 and -10
  No swap needed
  Compare -10 and -81
  Swap -10 and -81
  List after swap: [-91, -77, -81, -10, -2, 15, 16, 28, 61, 81]

Pass 8:
  Compare -91 and -77
  No swap needed
  Compare -77 and -81
  Swap -77 and -81
  List after swap: [-91, -81, -77, -10, -2, 15, 16, 28, 61, 81]

Pass 9:
  Compare -91 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -81, -77, -10, -2, 15, 16, 28, 61, 81]
</think>

<response>-91, -81, -77, -10, -2, 15, 16, 28, 61, 81</response>


input: Arrange the numbers -47, -84, -57, 97, 99, -86 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-47, -84, -57, 97, 99, -86]

Pass 1:
  Compare -47 and -84
  Swap -47 and -84
  List after swap: [-84, -47, -57, 97, 99, -86]
  Compare -47 and -57
  Swap -47 and -57
  List after swap: [-84, -57, -47, 97, 99, -86]
  Compare -47 and 97
  No swap needed
  Compare 97 and 99
  No swap needed
  Compare 99 and -86
  Swap 99 and -86
  List after swap: [-84, -57, -47, 97, -86, 99]

Pass 2:
  Compare -84 and -57
  No swap needed
  Compare -57 and -47
  No swap needed
  Compare -47 and 97
  No swap needed
  Compare 97 and -86
  Swap 97 and -86
  List after swap: [-84, -57, -47, -86, 97, 99]

Pass 3:
  Compare -84 and -57
  No swap needed
  Compare -57 and -47
  No swap needed
  Compare -47 and -86
  Swap -47 and -86
  List after swap: [-84, -57, -86, -47, 97, 99]

Pass 4:
  Compare -84 and -57
  No swap needed
  Compare -57 and -86
  Swap -57 and -86
  List after swap: [-84, -86, -57, -47, 97, 99]

Pass 5:
  Compare -84 and -86
  Swap -84 and -86
  List after swap: [-86, -84, -57, -47, 97, 99]

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

Final sorted list: [-86, -84, -57, -47, 97, 99]
</think>

<response>-86, -84, -57, -47, 97, 99</response>


input: Arrange the numbers -8, 71 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-8, 71]

Pass 1:
  Compare -8 and 71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-8, 71]
</think>

<response>-8, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 97, -49, 12, -91, -98.

output:
<think>
Initial list: [97, -49, 12, -91, -98]

Pass 1:
  Compare 97 and -49
  Swap 97 and -49
  List after swap: [-49, 97, 12, -91, -98]
  Compare 97 and 12
  Swap 97 and 12
  List after swap: [-49, 12, 97, -91, -98]
  Compare 97 and -91
  Swap 97 and -91
  List after swap: [-49, 12, -91, 97, -98]
  Compare 97 and -98
  Swap 97 and -98
  List after swap: [-49, 12, -91, -98, 97]

Pass 2:
  Compare -49 and 12
  No swap needed
  Compare 12 and -91
  Swap 12 and -91
  List after swap: [-49, -91, 12, -98, 97]
  Compare 12 and -98
  Swap 12 and -98
  List after swap: [-49, -91, -98, 12, 97]

Pass 3:
  Compare -49 and -91
  Swap -49 and -91
  List after swap: [-91, -49, -98, 12, 97]
  Compare -49 and -98
  Swap -49 and -98
  List after swap: [-91, -98, -49, 12, 97]

Pass 4:
  Compare -91 and -98
  Swap -91 and -98
  List after swap: [-98, -91, -49, 12, 97]

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

Final sorted list: [-98, -91, -49, 12, 97]
</think>

<response>-98, -91, -49, 12, 97</response>


input: Sort these integers -58, -3, 83, -54, -32 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-58, -3, 83, -54, -32]

Pass 1:
  Compare -58 and -3
  No swap needed
  Compare -3 and 83
  No swap needed
  Compare 83 and -54
  Swap 83 and -54
  List after swap: [-58, -3, -54, 83, -32]
  Compare 83 and -32
  Swap 83 and -32
  List after swap: [-58, -3, -54, -32, 83]

Pass 2:
  Compare -58 and -3
  No swap needed
  Compare -3 and -54
  Swap -3 and -54
  List after swap: [-58, -54, -3, -32, 83]
  Compare -3 and -32
  Swap -3 and -32
  List after swap: [-58, -54, -32, -3, 83]

Pass 3:
  Compare -58 and -54
  No swap needed
  Compare -54 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -54, -32, -3, 83]
</think>

<response>-58, -54, -32, -3, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -57, -85, -66, -31, -59.

output:
<think>
Initial list: [-57, -85, -66, -31, -59]

Pass 1:
  Compare -57 and -85
  Swap -57 and -85
  List after swap: [-85, -57, -66, -31, -59]
  Compare -57 and -66
  Swap -57 and -66
  List after swap: [-85, -66, -57, -31, -59]
  Compare -57 and -31
  No swap needed
  Compare -31 and -59
  Swap -31 and -59
  List after swap: [-85, -66, -57, -59, -31]

Pass 2:
  Compare -85 and -66
  No swap needed
  Compare -66 and -57
  No swap needed
  Compare -57 and -59
  Swap -57 and -59
  List after swap: [-85, -66, -59, -57, -31]

Pass 3:
  Compare -85 and -66
  No swap needed
  Compare -66 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -66, -59, -57, -31]
</think>

<response>-85, -66, -59, -57, -31</response>


input: Arrange the numbers 58, -82, -99 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [58, -82, -99]

Pass 1:
  Compare 58 and -82
  Swap 58 and -82
  List after swap: [-82, 58, -99]
  Compare 58 and -99
  Swap 58 and -99
  List after swap: [-82, -99, 58]

Pass 2:
  Compare -82 and -99
  Swap -82 and -99
  List after swap: [-99, -82, 58]

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

Final sorted list: [-99, -82, 58]
</think>

<response>-99, -82, 58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 46, 89, -60, 11, 26, -88, 71, -63, 28, 13.

output:
<think>
Initial list: [46, 89, -60, 11, 26, -88, 71, -63, 28, 13]

Pass 1:
  Compare 46 and 89
  No swap needed
  Compare 89 and -60
  Swap 89 and -60
  List after swap: [46, -60, 89, 11, 26, -88, 71, -63, 28, 13]
  Compare 89 and 11
  Swap 89 and 11
  List after swap: [46, -60, 11, 89, 26, -88, 71, -63, 28, 13]
  Compare 89 and 26
  Swap 89 and 26
  List after swap: [46, -60, 11, 26, 89, -88, 71, -63, 28, 13]
  Compare 89 and -88
  Swap 89 and -88
  List after swap: [46, -60, 11, 26, -88, 89, 71, -63, 28, 13]
  Compare 89 and 71
  Swap 89 and 71
  List after swap: [46, -60, 11, 26, -88, 71, 89, -63, 28, 13]
  Compare 89 and -63
  Swap 89 and -63
  List after swap: [46, -60, 11, 26, -88, 71, -63, 89, 28, 13]
  Compare 89 and 28
  Swap 89 and 28
  List after swap: [46, -60, 11, 26, -88, 71, -63, 28, 89, 13]
  Compare 89 and 13
  Swap 89 and 13
  List after swap: [46, -60, 11, 26, -88, 71, -63, 28, 13, 89]

Pass 2:
  Compare 46 and -60
  Swap 46 and -60
  List after swap: [-60, 46, 11, 26, -88, 71, -63, 28, 13, 89]
  Compare 46 and 11
  Swap 46 and 11
  List after swap: [-60, 11, 46, 26, -88, 71, -63, 28, 13, 89]
  Compare 46 and 26
  Swap 46 and 26
  List after swap: [-60, 11, 26, 46, -88, 71, -63, 28, 13, 89]
  Compare 46 and -88
  Swap 46 and -88
  List after swap: [-60, 11, 26, -88, 46, 71, -63, 28, 13, 89]
  Compare 46 and 71
  No swap needed
  Compare 71 and -63
  Swap 71 and -63
  List after swap: [-60, 11, 26, -88, 46, -63, 71, 28, 13, 89]
  Compare 71 and 28
  Swap 71 and 28
  List after swap: [-60, 11, 26, -88, 46, -63, 28, 71, 13, 89]
  Compare 71 and 13
  Swap 71 and 13
  List after swap: [-60, 11, 26, -88, 46, -63, 28, 13, 71, 89]

Pass 3:
  Compare -60 and 11
  No swap needed
  Compare 11 and 26
  No swap needed
  Compare 26 and -88
  Swap 26 and -88
  List after swap: [-60, 11, -88, 26, 46, -63, 28, 13, 71, 89]
  Compare 26 and 46
  No swap needed
  Compare 46 and -63
  Swap 46 and -63
  List after swap: [-60, 11, -88, 26, -63, 46, 28, 13, 71, 89]
  Compare 46 and 28
  Swap 46 and 28
  List after swap: [-60, 11, -88, 26, -63, 28, 46, 13, 71, 89]
  Compare 46 and 13
  Swap 46 and 13
  List after swap: [-60, 11, -88, 26, -63, 28, 13, 46, 71, 89]

Pass 4:
  Compare -60 and 11
  No swap needed
  Compare 11 and -88
  Swap 11 and -88
  List after swap: [-60, -88, 11, 26, -63, 28, 13, 46, 71, 89]
  Compare 11 and 26
  No swap needed
  Compare 26 and -63
  Swap 26 and -63
  List after swap: [-60, -88, 11, -63, 26, 28, 13, 46, 71, 89]
  Compare 26 and 28
  No swap needed
  Compare 28 and 13
  Swap 28 and 13
  List after swap: [-60, -88, 11, -63, 26, 13, 28, 46, 71, 89]

Pass 5:
  Compare -60 and -88
  Swap -60 and -88
  List after swap: [-88, -60, 11, -63, 26, 13, 28, 46, 71, 89]
  Compare -60 and 11
  No swap needed
  Compare 11 and -63
  Swap 11 and -63
  List after swap: [-88, -60, -63, 11, 26, 13, 28, 46, 71, 89]
  Compare 11 and 26
  No swap needed
  Compare 26 and 13
  Swap 26 and 13
  List after swap: [-88, -60, -63, 11, 13, 26, 28, 46, 71, 89]

Pass 6:
  Compare -88 and -60
  No swap needed
  Compare -60 and -63
  Swap -60 and -63
  List after swap: [-88, -63, -60, 11, 13, 26, 28, 46, 71, 89]
  Compare -60 and 11
  No swap needed
  Compare 11 and 13
  No swap needed

Pass 7:
  Compare -88 and -63
  No swap needed
  Compare -63 and -60
  No swap needed
  Compare -60 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -63, -60, 11, 13, 26, 28, 46, 71, 89]
</think>

<response>-88, -63, -60, 11, 13, 26, 28, 46, 71, 89</response>


input: Perform a bubble sort on the integers -5, -63, -89, -90, -22, -93, 49, 55, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-5, -63, -89, -90, -22, -93, 49, 55]

Pass 1:
  Compare -5 and -63
  Swap -5 and -63
  List after swap: [-63, -5, -89, -90, -22, -93, 49, 55]
  Compare -5 and -89
  Swap -5 and -89
  List after swap: [-63, -89, -5, -90, -22, -93, 49, 55]
  Compare -5 and -90
  Swap -5 and -90
  List after swap: [-63, -89, -90, -5, -22, -93, 49, 55]
  Compare -5 and -22
  Swap -5 and -22
  List after swap: [-63, -89, -90, -22, -5, -93, 49, 55]
  Compare -5 and -93
  Swap -5 and -93
  List after swap: [-63, -89, -90, -22, -93, -5, 49, 55]
  Compare -5 and 49
  No swap needed
  Compare 49 and 55
  No swap needed

Pass 2:
  Compare -63 and -89
  Swap -63 and -89
  List after swap: [-89, -63, -90, -22, -93, -5, 49, 55]
  Compare -63 and -90
  Swap -63 and -90
  List after swap: [-89, -90, -63, -22, -93, -5, 49, 55]
  Compare -63 and -22
  No swap needed
  Compare -22 and -93
  Swap -22 and -93
  List after swap: [-89, -90, -63, -93, -22, -5, 49, 55]
  Compare -22 and -5
  No swap needed
  Compare -5 and 49
  No swap needed

Pass 3:
  Compare -89 and -90
  Swap -89 and -90
  List after swap: [-90, -89, -63, -93, -22, -5, 49, 55]
  Compare -89 and -63
  No swap needed
  Compare -63 and -93
  Swap -63 and -93
  List after swap: [-90, -89, -93, -63, -22, -5, 49, 55]
  Compare -63 and -22
  No swap needed
  Compare -22 and -5
  No swap needed

Pass 4:
  Compare -90 and -89
  No swap needed
  Compare -89 and -93
  Swap -89 and -93
  List after swap: [-90, -93, -89, -63, -22, -5, 49, 55]
  Compare -89 and -63
  No swap needed
  Compare -63 and -22
  No swap needed

Pass 5:
  Compare -90 and -93
  Swap -90 and -93
  List after swap: [-93, -90, -89, -63, -22, -5, 49, 55]
  Compare -90 and -89
  No swap needed
  Compare -89 and -63
  No swap needed

Pass 6:
  Compare -93 and -90
  No swap needed
  Compare -90 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -90, -89, -63, -22, -5, 49, 55]
</think>

<response>-93, -90, -89, -63, -22, -5, 49, 55</response>


input: Implement bubble sort on 83, 3, -68, 27, -94, -83, 42, 75 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [83, 3, -68, 27, -94, -83, 42, 75]

Pass 1:
  Compare 83 and 3
  Swap 83 and 3
  List after swap: [3, 83, -68, 27, -94, -83, 42, 75]
  Compare 83 and -68
  Swap 83 and -68
  List after swap: [3, -68, 83, 27, -94, -83, 42, 75]
  Compare 83 and 27
  Swap 83 and 27
  List after swap: [3, -68, 27, 83, -94, -83, 42, 75]
  Compare 83 and -94
  Swap 83 and -94
  List after swap: [3, -68, 27, -94, 83, -83, 42, 75]
  Compare 83 and -83
  Swap 83 and -83
  List after swap: [3, -68, 27, -94, -83, 83, 42, 75]
  Compare 83 and 42
  Swap 83 and 42
  List after swap: [3, -68, 27, -94, -83, 42, 83, 75]
  Compare 83 and 75
  Swap 83 and 75
  List after swap: [3, -68, 27, -94, -83, 42, 75, 83]

Pass 2:
  Compare 3 and -68
  Swap 3 and -68
  List after swap: [-68, 3, 27, -94, -83, 42, 75, 83]
  Compare 3 and 27
  No swap needed
  Compare 27 and -94
  Swap 27 and -94
  List after swap: [-68, 3, -94, 27, -83, 42, 75, 83]
  Compare 27 and -83
  Swap 27 and -83
  List after swap: [-68, 3, -94, -83, 27, 42, 75, 83]
  Compare 27 and 42
  No swap needed
  Compare 42 and 75
  No swap needed

Pass 3:
  Compare -68 and 3
  No swap needed
  Compare 3 and -94
  Swap 3 and -94
  List after swap: [-68, -94, 3, -83, 27, 42, 75, 83]
  Compare 3 and -83
  Swap 3 and -83
  List after swap: [-68, -94, -83, 3, 27, 42, 75, 83]
  Compare 3 and 27
  No swap needed
  Compare 27 and 42
  No swap needed

Pass 4:
  Compare -68 and -94
  Swap -68 and -94
  List after swap: [-94, -68, -83, 3, 27, 42, 75, 83]
  Compare -68 and -83
  Swap -68 and -83
  List after swap: [-94, -83, -68, 3, 27, 42, 75, 83]
  Compare -68 and 3
  No swap needed
  Compare 3 and 27
  No swap needed

Pass 5:
  Compare -94 and -83
  No swap needed
  Compare -83 and -68
  No swap needed
  Compare -68 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -83, -68, 3, 27, 42, 75, 83]
</think>

<response>-94, -83, -68, 3, 27, 42, 75, 83</response>


input: Implement bubble sort on -15, -65, 76, 9, 89, -49, 29, 88, -57 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-15, -65, 76, 9, 89, -49, 29, 88, -57]

Pass 1:
  Compare -15 and -65
  Swap -15 and -65
  List after swap: [-65, -15, 76, 9, 89, -49, 29, 88, -57]
  Compare -15 and 76
  No swap needed
  Compare 76 and 9
  Swap 76 and 9
  List after swap: [-65, -15, 9, 76, 89, -49, 29, 88, -57]
  Compare 76 and 89
  No swap needed
  Compare 89 and -49
  Swap 89 and -49
  List after swap: [-65, -15, 9, 76, -49, 89, 29, 88, -57]
  Compare 89 and 29
  Swap 89 and 29
  List after swap: [-65, -15, 9, 76, -49, 29, 89, 88, -57]
  Compare 89 and 88
  Swap 89 and 88
  List after swap: [-65, -15, 9, 76, -49, 29, 88, 89, -57]
  Compare 89 and -57
  Swap 89 and -57
  List after swap: [-65, -15, 9, 76, -49, 29, 88, -57, 89]

Pass 2:
  Compare -65 and -15
  No swap needed
  Compare -15 and 9
  No swap needed
  Compare 9 and 76
  No swap needed
  Compare 76 and -49
  Swap 76 and -49
  List after swap: [-65, -15, 9, -49, 76, 29, 88, -57, 89]
  Compare 76 and 29
  Swap 76 and 29
  List after swap: [-65, -15, 9, -49, 29, 76, 88, -57, 89]
  Compare 76 and 88
  No swap needed
  Compare 88 and -57
  Swap 88 and -57
  List after swap: [-65, -15, 9, -49, 29, 76, -57, 88, 89]

Pass 3:
  Compare -65 and -15
  No swap needed
  Compare -15 and 9
  No swap needed
  Compare 9 and -49
  Swap 9 and -49
  List after swap: [-65, -15, -49, 9, 29, 76, -57, 88, 89]
  Compare 9 and 29
  No swap needed
  Compare 29 and 76
  No swap needed
  Compare 76 and -57
  Swap 76 and -57
  List after swap: [-65, -15, -49, 9, 29, -57, 76, 88, 89]

Pass 4:
  Compare -65 and -15
  No swap needed
  Compare -15 and -49
  Swap -15 and -49
  List after swap: [-65, -49, -15, 9, 29, -57, 76, 88, 89]
  Compare -15 and 9
  No swap needed
  Compare 9 and 29
  No swap needed
  Compare 29 and -57
  Swap 29 and -57
  List after swap: [-65, -49, -15, 9, -57, 29, 76, 88, 89]

Pass 5:
  Compare -65 and -49
  No swap needed
  Compare -49 and -15
  No swap needed
  Compare -15 and 9
  No swap needed
  Compare 9 and -57
  Swap 9 and -57
  List after swap: [-65, -49, -15, -57, 9, 29, 76, 88, 89]

Pass 6:
  Compare -65 and -49
  No swap needed
  Compare -49 and -15
  No swap needed
  Compare -15 and -57
  Swap -15 and -57
  List after swap: [-65, -49, -57, -15, 9, 29, 76, 88, 89]

Pass 7:
  Compare -65 and -49
  No swap needed
  Compare -49 and -57
  Swap -49 and -57
  List after swap: [-65, -57, -49, -15, 9, 29, 76, 88, 89]

Pass 8:
  Compare -65 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -57, -49, -15, 9, 29, 76, 88, 89]
</think>

<response>-65, -57, -49, -15, 9, 29, 76, 88, 89</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 97, -5, -36, -64, 73, 43.

output:
<think>
Initial list: [97, -5, -36, -64, 73, 43]

Pass 1:
  Compare 97 and -5
  Swap 97 and -5
  List after swap: [-5, 97, -36, -64, 73, 43]
  Compare 97 and -36
  Swap 97 and -36
  List after swap: [-5, -36, 97, -64, 73, 43]
  Compare 97 and -64
  Swap 97 and -64
  List after swap: [-5, -36, -64, 97, 73, 43]
  Compare 97 and 73
  Swap 97 and 73
  List after swap: [-5, -36, -64, 73, 97, 43]
  Compare 97 and 43
  Swap 97 and 43
  List after swap: [-5, -36, -64, 73, 43, 97]

Pass 2:
  Compare -5 and -36
  Swap -5 and -36
  List after swap: [-36, -5, -64, 73, 43, 97]
  Compare -5 and -64
  Swap -5 and -64
  List after swap: [-36, -64, -5, 73, 43, 97]
  Compare -5 and 73
  No swap needed
  Compare 73 and 43
  Swap 73 and 43
  List after swap: [-36, -64, -5, 43, 73, 97]

Pass 3:
  Compare -36 and -64
  Swap -36 and -64
  List after swap: [-64, -36, -5, 43, 73, 97]
  Compare -36 and -5
  No swap needed
  Compare -5 and 43
  No swap needed

Pass 4:
  Compare -64 and -36
  No swap needed
  Compare -36 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -36, -5, 43, 73, 97]
</think>

<response>-64, -36, -5, 43, 73, 97</response>


input: Implement bubble sort on -61, -40, -19, -81, 80, 27, -20 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-61, -40, -19, -81, 80, 27, -20]

Pass 1:
  Compare -61 and -40
  No swap needed
  Compare -40 and -19
  No swap needed
  Compare -19 and -81
  Swap -19 and -81
  List after swap: [-61, -40, -81, -19, 80, 27, -20]
  Compare -19 and 80
  No swap needed
  Compare 80 and 27
  Swap 80 and 27
  List after swap: [-61, -40, -81, -19, 27, 80, -20]
  Compare 80 and -20
  Swap 80 and -20
  List after swap: [-61, -40, -81, -19, 27, -20, 80]

Pass 2:
  Compare -61 and -40
  No swap needed
  Compare -40 and -81
  Swap -40 and -81
  List after swap: [-61, -81, -40, -19, 27, -20, 80]
  Compare -40 and -19
  No swap needed
  Compare -19 and 27
  No swap needed
  Compare 27 and -20
  Swap 27 and -20
  List after swap: [-61, -81, -40, -19, -20, 27, 80]

Pass 3:
  Compare -61 and -81
  Swap -61 and -81
  List after swap: [-81, -61, -40, -19, -20, 27, 80]
  Compare -61 and -40
  No swap needed
  Compare -40 and -19
  No swap needed
  Compare -19 and -20
  Swap -19 and -20
  List after swap: [-81, -61, -40, -20, -19, 27, 80]

Pass 4:
  Compare -81 and -61
  No swap needed
  Compare -61 and -40
  No swap needed
  Compare -40 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -61, -40, -20, -19, 27, 80]
</think>

<response>-81, -61, -40, -20, -19, 27, 80</response>


input: Sort these integers 88, 65, 18 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [88, 65, 18]

Pass 1:
  Compare 88 and 65
  Swap 88 and 65
  List after swap: [65, 88, 18]
  Compare 88 and 18
  Swap 88 and 18
  List after swap: [65, 18, 88]

Pass 2:
  Compare 65 and 18
  Swap 65 and 18
  List after swap: [18, 65, 88]

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

Final sorted list: [18, 65, 88]
</think>

<response>18, 65, 88</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -1, -64, 45.

output:
<think>
Initial list: [-1, -64, 45]

Pass 1:
  Compare -1 and -64
  Swap -1 and -64
  List after swap: [-64, -1, 45]
  Compare -1 and 45
  No swap needed

Pass 2:
  Compare -64 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -1, 45]
</think>

<response>-64, -1, 45</response>


input: Carry out the bubble sort algorithm on 39, -54, -37, -60 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [39, -54, -37, -60]

Pass 1:
  Compare 39 and -54
  Swap 39 and -54
  List after swap: [-54, 39, -37, -60]
  Compare 39 and -37
  Swap 39 and -37
  List after swap: [-54, -37, 39, -60]
  Compare 39 and -60
  Swap 39 and -60
  List after swap: [-54, -37, -60, 39]

Pass 2:
  Compare -54 and -37
  No swap needed
  Compare -37 and -60
  Swap -37 and -60
  List after swap: [-54, -60, -37, 39]

Pass 3:
  Compare -54 and -60
  Swap -54 and -60
  List after swap: [-60, -54, -37, 39]

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

Final sorted list: [-60, -54, -37, 39]
</think>

<response>-60, -54, -37, 39</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 9, -96, -55, 63, 65.

output:
<think>
Initial list: [9, -96, -55, 63, 65]

Pass 1:
  Compare 9 and -96
  Swap 9 and -96
  List after swap: [-96, 9, -55, 63, 65]
  Compare 9 and -55
  Swap 9 and -55
  List after swap: [-96, -55, 9, 63, 65]
  Compare 9 and 63
  No swap needed
  Compare 63 and 65
  No swap needed

Pass 2:
  Compare -96 and -55
  No swap needed
  Compare -55 and 9
  No swap needed
  Compare 9 and 63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -55, 9, 63, 65]
</think>

<response>-96, -55, 9, 63, 65</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 32, 49, -16.

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

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

Pass 2:
  Compare 32 and -16
  Swap 32 and -16
  List after swap: [-16, 32, 49]

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

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

<response>-16, 32, 49</response>


input: Using the bubble sort method, sort 44, -17, 47, -71, -93, -96, 38, 28, 43, -38 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [44, -17, 47, -71, -93, -96, 38, 28, 43, -38]

Pass 1:
  Compare 44 and -17
  Swap 44 and -17
  List after swap: [-17, 44, 47, -71, -93, -96, 38, 28, 43, -38]
  Compare 44 and 47
  No swap needed
  Compare 47 and -71
  Swap 47 and -71
  List after swap: [-17, 44, -71, 47, -93, -96, 38, 28, 43, -38]
  Compare 47 and -93
  Swap 47 and -93
  List after swap: [-17, 44, -71, -93, 47, -96, 38, 28, 43, -38]
  Compare 47 and -96
  Swap 47 and -96
  List after swap: [-17, 44, -71, -93, -96, 47, 38, 28, 43, -38]
  Compare 47 and 38
  Swap 47 and 38
  List after swap: [-17, 44, -71, -93, -96, 38, 47, 28, 43, -38]
  Compare 47 and 28
  Swap 47 and 28
  List after swap: [-17, 44, -71, -93, -96, 38, 28, 47, 43, -38]
  Compare 47 and 43
  Swap 47 and 43
  List after swap: [-17, 44, -71, -93, -96, 38, 28, 43, 47, -38]
  Compare 47 and -38
  Swap 47 and -38
  List after swap: [-17, 44, -71, -93, -96, 38, 28, 43, -38, 47]

Pass 2:
  Compare -17 and 44
  No swap needed
  Compare 44 and -71
  Swap 44 and -71
  List after swap: [-17, -71, 44, -93, -96, 38, 28, 43, -38, 47]
  Compare 44 and -93
  Swap 44 and -93
  List after swap: [-17, -71, -93, 44, -96, 38, 28, 43, -38, 47]
  Compare 44 and -96
  Swap 44 and -96
  List after swap: [-17, -71, -93, -96, 44, 38, 28, 43, -38, 47]
  Compare 44 and 38
  Swap 44 and 38
  List after swap: [-17, -71, -93, -96, 38, 44, 28, 43, -38, 47]
  Compare 44 and 28
  Swap 44 and 28
  List after swap: [-17, -71, -93, -96, 38, 28, 44, 43, -38, 47]
  Compare 44 and 43
  Swap 44 and 43
  List after swap: [-17, -71, -93, -96, 38, 28, 43, 44, -38, 47]
  Compare 44 and -38
  Swap 44 and -38
  List after swap: [-17, -71, -93, -96, 38, 28, 43, -38, 44, 47]

Pass 3:
  Compare -17 and -71
  Swap -17 and -71
  List after swap: [-71, -17, -93, -96, 38, 28, 43, -38, 44, 47]
  Compare -17 and -93
  Swap -17 and -93
  List after swap: [-71, -93, -17, -96, 38, 28, 43, -38, 44, 47]
  Compare -17 and -96
  Swap -17 and -96
  List after swap: [-71, -93, -96, -17, 38, 28, 43, -38, 44, 47]
  Compare -17 and 38
  No swap needed
  Compare 38 and 28
  Swap 38 and 28
  List after swap: [-71, -93, -96, -17, 28, 38, 43, -38, 44, 47]
  Compare 38 and 43
  No swap needed
  Compare 43 and -38
  Swap 43 and -38
  List after swap: [-71, -93, -96, -17, 28, 38, -38, 43, 44, 47]

Pass 4:
  Compare -71 and -93
  Swap -71 and -93
  List after swap: [-93, -71, -96, -17, 28, 38, -38, 43, 44, 47]
  Compare -71 and -96
  Swap -71 and -96
  List after swap: [-93, -96, -71, -17, 28, 38, -38, 43, 44, 47]
  Compare -71 and -17
  No swap needed
  Compare -17 and 28
  No swap needed
  Compare 28 and 38
  No swap needed
  Compare 38 and -38
  Swap 38 and -38
  List after swap: [-93, -96, -71, -17, 28, -38, 38, 43, 44, 47]

Pass 5:
  Compare -93 and -96
  Swap -93 and -96
  List after swap: [-96, -93, -71, -17, 28, -38, 38, 43, 44, 47]
  Compare -93 and -71
  No swap needed
  Compare -71 and -17
  No swap needed
  Compare -17 and 28
  No swap needed
  Compare 28 and -38
  Swap 28 and -38
  List after swap: [-96, -93, -71, -17, -38, 28, 38, 43, 44, 47]

Pass 6:
  Compare -96 and -93
  No swap needed
  Compare -93 and -71
  No swap needed
  Compare -71 and -17
  No swap needed
  Compare -17 and -38
  Swap -17 and -38
  List after swap: [-96, -93, -71, -38, -17, 28, 38, 43, 44, 47]

Pass 7:
  Compare -96 and -93
  No swap needed
  Compare -93 and -71
  No swap needed
  Compare -71 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -93, -71, -38, -17, 28, 38, 43, 44, 47]
</think>

<response>-96, -93, -71, -38, -17, 28, 38, 43, 44, 47</response>


input: Perform a bubble sort on the integers 65, 67, 85, 3, 61, 27, -12, -40, 88, 80, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [65, 67, 85, 3, 61, 27, -12, -40, 88, 80]

Pass 1:
  Compare 65 and 67
  No swap needed
  Compare 67 and 85
  No swap needed
  Compare 85 and 3
  Swap 85 and 3
  List after swap: [65, 67, 3, 85, 61, 27, -12, -40, 88, 80]
  Compare 85 and 61
  Swap 85 and 61
  List after swap: [65, 67, 3, 61, 85, 27, -12, -40, 88, 80]
  Compare 85 and 27
  Swap 85 and 27
  List after swap: [65, 67, 3, 61, 27, 85, -12, -40, 88, 80]
  Compare 85 and -12
  Swap 85 and -12
  List after swap: [65, 67, 3, 61, 27, -12, 85, -40, 88, 80]
  Compare 85 and -40
  Swap 85 and -40
  List after swap: [65, 67, 3, 61, 27, -12, -40, 85, 88, 80]
  Compare 85 and 88
  No swap needed
  Compare 88 and 80
  Swap 88 and 80
  List after swap: [65, 67, 3, 61, 27, -12, -40, 85, 80, 88]

Pass 2:
  Compare 65 and 67
  No swap needed
  Compare 67 and 3
  Swap 67 and 3
  List after swap: [65, 3, 67, 61, 27, -12, -40, 85, 80, 88]
  Compare 67 and 61
  Swap 67 and 61
  List after swap: [65, 3, 61, 67, 27, -12, -40, 85, 80, 88]
  Compare 67 and 27
  Swap 67 and 27
  List after swap: [65, 3, 61, 27, 67, -12, -40, 85, 80, 88]
  Compare 67 and -12
  Swap 67 and -12
  List after swap: [65, 3, 61, 27, -12, 67, -40, 85, 80, 88]
  Compare 67 and -40
  Swap 67 and -40
  List after swap: [65, 3, 61, 27, -12, -40, 67, 85, 80, 88]
  Compare 67 and 85
  No swap needed
  Compare 85 and 80
  Swap 85 and 80
  List after swap: [65, 3, 61, 27, -12, -40, 67, 80, 85, 88]

Pass 3:
  Compare 65 and 3
  Swap 65 and 3
  List after swap: [3, 65, 61, 27, -12, -40, 67, 80, 85, 88]
  Compare 65 and 61
  Swap 65 and 61
  List after swap: [3, 61, 65, 27, -12, -40, 67, 80, 85, 88]
  Compare 65 and 27
  Swap 65 and 27
  List after swap: [3, 61, 27, 65, -12, -40, 67, 80, 85, 88]
  Compare 65 and -12
  Swap 65 and -12
  List after swap: [3, 61, 27, -12, 65, -40, 67, 80, 85, 88]
  Compare 65 and -40
  Swap 65 and -40
  List after swap: [3, 61, 27, -12, -40, 65, 67, 80, 85, 88]
  Compare 65 and 67
  No swap needed
  Compare 67 and 80
  No swap needed

Pass 4:
  Compare 3 and 61
  No swap needed
  Compare 61 and 27
  Swap 61 and 27
  List after swap: [3, 27, 61, -12, -40, 65, 67, 80, 85, 88]
  Compare 61 and -12
  Swap 61 and -12
  List after swap: [3, 27, -12, 61, -40, 65, 67, 80, 85, 88]
  Compare 61 and -40
  Swap 61 and -40
  List after swap: [3, 27, -12, -40, 61, 65, 67, 80, 85, 88]
  Compare 61 and 65
  No swap needed
  Compare 65 and 67
  No swap needed

Pass 5:
  Compare 3 and 27
  No swap needed
  Compare 27 and -12
  Swap 27 and -12
  List after swap: [3, -12, 27, -40, 61, 65, 67, 80, 85, 88]
  Compare 27 and -40
  Swap 27 and -40
  List after swap: [3, -12, -40, 27, 61, 65, 67, 80, 85, 88]
  Compare 27 and 61
  No swap needed
  Compare 61 and 65
  No swap needed

Pass 6:
  Compare 3 and -12
  Swap 3 and -12
  List after swap: [-12, 3, -40, 27, 61, 65, 67, 80, 85, 88]
  Compare 3 and -40
  Swap 3 and -40
  List after swap: [-12, -40, 3, 27, 61, 65, 67, 80, 85, 88]
  Compare 3 and 27
  No swap needed
  Compare 27 and 61
  No swap needed

Pass 7:
  Compare -12 and -40
  Swap -12 and -40
  List after swap: [-40, -12, 3, 27, 61, 65, 67, 80, 85, 88]
  Compare -12 and 3
  No swap needed
  Compare 3 and 27
  No swap needed

Pass 8:
  Compare -40 and -12
  No swap needed
  Compare -12 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -12, 3, 27, 61, 65, 67, 80, 85, 88]
</think>

<response>-40, -12, 3, 27, 61, 65, 67, 80, 85, 88</response>


input: Demonstrate how bubble sort orders the integers 67, 45, -17, 58, 81, -47, 19, -91 in ascending sequence, showing all steps.

output:
<think>
Initial list: [67, 45, -17, 58, 81, -47, 19, -91]

Pass 1:
  Compare 67 and 45
  Swap 67 and 45
  List after swap: [45, 67, -17, 58, 81, -47, 19, -91]
  Compare 67 and -17
  Swap 67 and -17
  List after swap: [45, -17, 67, 58, 81, -47, 19, -91]
  Compare 67 and 58
  Swap 67 and 58
  List after swap: [45, -17, 58, 67, 81, -47, 19, -91]
  Compare 67 and 81
  No swap needed
  Compare 81 and -47
  Swap 81 and -47
  List after swap: [45, -17, 58, 67, -47, 81, 19, -91]
  Compare 81 and 19
  Swap 81 and 19
  List after swap: [45, -17, 58, 67, -47, 19, 81, -91]
  Compare 81 and -91
  Swap 81 and -91
  List after swap: [45, -17, 58, 67, -47, 19, -91, 81]

Pass 2:
  Compare 45 and -17
  Swap 45 and -17
  List after swap: [-17, 45, 58, 67, -47, 19, -91, 81]
  Compare 45 and 58
  No swap needed
  Compare 58 and 67
  No swap needed
  Compare 67 and -47
  Swap 67 and -47
  List after swap: [-17, 45, 58, -47, 67, 19, -91, 81]
  Compare 67 and 19
  Swap 67 and 19
  List after swap: [-17, 45, 58, -47, 19, 67, -91, 81]
  Compare 67 and -91
  Swap 67 and -91
  List after swap: [-17, 45, 58, -47, 19, -91, 67, 81]

Pass 3:
  Compare -17 and 45
  No swap needed
  Compare 45 and 58
  No swap needed
  Compare 58 and -47
  Swap 58 and -47
  List after swap: [-17, 45, -47, 58, 19, -91, 67, 81]
  Compare 58 and 19
  Swap 58 and 19
  List after swap: [-17, 45, -47, 19, 58, -91, 67, 81]
  Compare 58 and -91
  Swap 58 and -91
  List after swap: [-17, 45, -47, 19, -91, 58, 67, 81]

Pass 4:
  Compare -17 and 45
  No swap needed
  Compare 45 and -47
  Swap 45 and -47
  List after swap: [-17, -47, 45, 19, -91, 58, 67, 81]
  Compare 45 and 19
  Swap 45 and 19
  List after swap: [-17, -47, 19, 45, -91, 58, 67, 81]
  Compare 45 and -91
  Swap 45 and -91
  List after swap: [-17, -47, 19, -91, 45, 58, 67, 81]

Pass 5:
  Compare -17 and -47
  Swap -17 and -47
  List after swap: [-47, -17, 19, -91, 45, 58, 67, 81]
  Compare -17 and 19
  No swap needed
  Compare 19 and -91
  Swap 19 and -91
  List after swap: [-47, -17, -91, 19, 45, 58, 67, 81]

Pass 6:
  Compare -47 and -17
  No swap needed
  Compare -17 and -91
  Swap -17 and -91
  List after swap: [-47, -91, -17, 19, 45, 58, 67, 81]

Pass 7:
  Compare -47 and -91
  Swap -47 and -91
  List after swap: [-91, -47, -17, 19, 45, 58, 67, 81]

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

Final sorted list: [-91, -47, -17, 19, 45, 58, 67, 81]
</think>

<response>-91, -47, -17, 19, 45, 58, 67, 81</response>


input: Carry out the bubble sort algorithm on -56, -38, -13, 33, 41 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-56, -38, -13, 33, 41]

Pass 1:
  Compare -56 and -38
  No swap needed
  Compare -38 and -13
  No swap needed
  Compare -13 and 33
  No swap needed
  Compare 33 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -38, -13, 33, 41]
</think>

<response>-56, -38, -13, 33, 41</response>


input: Use the bubble sort technique to reorder -88, -52, 33, 83, -37, 67 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-88, -52, 33, 83, -37, 67]

Pass 1:
  Compare -88 and -52
  No swap needed
  Compare -52 and 33
  No swap needed
  Compare 33 and 83
  No swap needed
  Compare 83 and -37
  Swap 83 and -37
  List after swap: [-88, -52, 33, -37, 83, 67]
  Compare 83 and 67
  Swap 83 and 67
  List after swap: [-88, -52, 33, -37, 67, 83]

Pass 2:
  Compare -88 and -52
  No swap needed
  Compare -52 and 33
  No swap needed
  Compare 33 and -37
  Swap 33 and -37
  List after swap: [-88, -52, -37, 33, 67, 83]
  Compare 33 and 67
  No swap needed

Pass 3:
  Compare -88 and -52
  No swap needed
  Compare -52 and -37
  No swap needed
  Compare -37 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -52, -37, 33, 67, 83]
</think>

<response>-88, -52, -37, 33, 67, 83</response>


input: Arrange the numbers 24, 49, -64 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [24, 49, -64]

Pass 1:
  Compare 24 and 49
  No swap needed
  Compare 49 and -64
  Swap 49 and -64
  List after swap: [24, -64, 49]

Pass 2:
  Compare 24 and -64
  Swap 24 and -64
  List after swap: [-64, 24, 49]

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

Final sorted list: [-64, 24, 49]
</think>

<response>-64, 24, 49</response>


input: Sort the list 29, 28, 81, -6, 59, 83, 99, 51 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [29, 28, 81, -6, 59, 83, 99, 51]

Pass 1:
  Compare 29 and 28
  Swap 29 and 28
  List after swap: [28, 29, 81, -6, 59, 83, 99, 51]
  Compare 29 and 81
  No swap needed
  Compare 81 and -6
  Swap 81 and -6
  List after swap: [28, 29, -6, 81, 59, 83, 99, 51]
  Compare 81 and 59
  Swap 81 and 59
  List after swap: [28, 29, -6, 59, 81, 83, 99, 51]
  Compare 81 and 83
  No swap needed
  Compare 83 and 99
  No swap needed
  Compare 99 and 51
  Swap 99 and 51
  List after swap: [28, 29, -6, 59, 81, 83, 51, 99]

Pass 2:
  Compare 28 and 29
  No swap needed
  Compare 29 and -6
  Swap 29 and -6
  List after swap: [28, -6, 29, 59, 81, 83, 51, 99]
  Compare 29 and 59
  No swap needed
  Compare 59 and 81
  No swap needed
  Compare 81 and 83
  No swap needed
  Compare 83 and 51
  Swap 83 and 51
  List after swap: [28, -6, 29, 59, 81, 51, 83, 99]

Pass 3:
  Compare 28 and -6
  Swap 28 and -6
  List after swap: [-6, 28, 29, 59, 81, 51, 83, 99]
  Compare 28 and 29
  No swap needed
  Compare 29 and 59
  No swap needed
  Compare 59 and 81
  No swap needed
  Compare 81 and 51
  Swap 81 and 51
  List after swap: [-6, 28, 29, 59, 51, 81, 83, 99]

Pass 4:
  Compare -6 and 28
  No swap needed
  Compare 28 and 29
  No swap needed
  Compare 29 and 59
  No swap needed
  Compare 59 and 51
  Swap 59 and 51
  List after swap: [-6, 28, 29, 51, 59, 81, 83, 99]

Pass 5:
  Compare -6 and 28
  No swap needed
  Compare 28 and 29
  No swap needed
  Compare 29 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-6, 28, 29, 51, 59, 81, 83, 99]
</think>

<response>-6, 28, 29, 51, 59, 81, 83, 99</response>


input: Carry out the bubble sort algorithm on 67, -42, 37 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [67, -42, 37]

Pass 1:
  Compare 67 and -42
  Swap 67 and -42
  List after swap: [-42, 67, 37]
  Compare 67 and 37
  Swap 67 and 37
  List after swap: [-42, 37, 67]

Pass 2:
  Compare -42 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, 37, 67]
</think>

<response>-42, 37, 67</response>