input: Carry out the bubble sort algorithm on 33, 47, 44, 27 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [33, 47, 44, 27]

Pass 1:
  Compare 33 and 47
  No swap needed
  Compare 47 and 44
  Swap 47 and 44
  List after swap: [33, 44, 47, 27]
  Compare 47 and 27
  Swap 47 and 27
  List after swap: [33, 44, 27, 47]

Pass 2:
  Compare 33 and 44
  No swap needed
  Compare 44 and 27
  Swap 44 and 27
  List after swap: [33, 27, 44, 47]

Pass 3:
  Compare 33 and 27
  Swap 33 and 27
  List after swap: [27, 33, 44, 47]

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

Final sorted list: [27, 33, 44, 47]
</think>

<response>27, 33, 44, 47</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -22, 36, -17, 12, -76, 89.

output:
<think>
Initial list: [-22, 36, -17, 12, -76, 89]

Pass 1:
  Compare -22 and 36
  No swap needed
  Compare 36 and -17
  Swap 36 and -17
  List after swap: [-22, -17, 36, 12, -76, 89]
  Compare 36 and 12
  Swap 36 and 12
  List after swap: [-22, -17, 12, 36, -76, 89]
  Compare 36 and -76
  Swap 36 and -76
  List after swap: [-22, -17, 12, -76, 36, 89]
  Compare 36 and 89
  No swap needed

Pass 2:
  Compare -22 and -17
  No swap needed
  Compare -17 and 12
  No swap needed
  Compare 12 and -76
  Swap 12 and -76
  List after swap: [-22, -17, -76, 12, 36, 89]
  Compare 12 and 36
  No swap needed

Pass 3:
  Compare -22 and -17
  No swap needed
  Compare -17 and -76
  Swap -17 and -76
  List after swap: [-22, -76, -17, 12, 36, 89]
  Compare -17 and 12
  No swap needed

Pass 4:
  Compare -22 and -76
  Swap -22 and -76
  List after swap: [-76, -22, -17, 12, 36, 89]
  Compare -22 and -17
  No swap needed

Pass 5:
  Compare -76 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -22, -17, 12, 36, 89]
</think>

<response>-76, -22, -17, 12, 36, 89</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 10, -10, -8, 56, -68, 69, 2, 77, -70, -60.

output:
<think>
Initial list: [10, -10, -8, 56, -68, 69, 2, 77, -70, -60]

Pass 1:
  Compare 10 and -10
  Swap 10 and -10
  List after swap: [-10, 10, -8, 56, -68, 69, 2, 77, -70, -60]
  Compare 10 and -8
  Swap 10 and -8
  List after swap: [-10, -8, 10, 56, -68, 69, 2, 77, -70, -60]
  Compare 10 and 56
  No swap needed
  Compare 56 and -68
  Swap 56 and -68
  List after swap: [-10, -8, 10, -68, 56, 69, 2, 77, -70, -60]
  Compare 56 and 69
  No swap needed
  Compare 69 and 2
  Swap 69 and 2
  List after swap: [-10, -8, 10, -68, 56, 2, 69, 77, -70, -60]
  Compare 69 and 77
  No swap needed
  Compare 77 and -70
  Swap 77 and -70
  List after swap: [-10, -8, 10, -68, 56, 2, 69, -70, 77, -60]
  Compare 77 and -60
  Swap 77 and -60
  List after swap: [-10, -8, 10, -68, 56, 2, 69, -70, -60, 77]

Pass 2:
  Compare -10 and -8
  No swap needed
  Compare -8 and 10
  No swap needed
  Compare 10 and -68
  Swap 10 and -68
  List after swap: [-10, -8, -68, 10, 56, 2, 69, -70, -60, 77]
  Compare 10 and 56
  No swap needed
  Compare 56 and 2
  Swap 56 and 2
  List after swap: [-10, -8, -68, 10, 2, 56, 69, -70, -60, 77]
  Compare 56 and 69
  No swap needed
  Compare 69 and -70
  Swap 69 and -70
  List after swap: [-10, -8, -68, 10, 2, 56, -70, 69, -60, 77]
  Compare 69 and -60
  Swap 69 and -60
  List after swap: [-10, -8, -68, 10, 2, 56, -70, -60, 69, 77]

Pass 3:
  Compare -10 and -8
  No swap needed
  Compare -8 and -68
  Swap -8 and -68
  List after swap: [-10, -68, -8, 10, 2, 56, -70, -60, 69, 77]
  Compare -8 and 10
  No swap needed
  Compare 10 and 2
  Swap 10 and 2
  List after swap: [-10, -68, -8, 2, 10, 56, -70, -60, 69, 77]
  Compare 10 and 56
  No swap needed
  Compare 56 and -70
  Swap 56 and -70
  List after swap: [-10, -68, -8, 2, 10, -70, 56, -60, 69, 77]
  Compare 56 and -60
  Swap 56 and -60
  List after swap: [-10, -68, -8, 2, 10, -70, -60, 56, 69, 77]

Pass 4:
  Compare -10 and -68
  Swap -10 and -68
  List after swap: [-68, -10, -8, 2, 10, -70, -60, 56, 69, 77]
  Compare -10 and -8
  No swap needed
  Compare -8 and 2
  No swap needed
  Compare 2 and 10
  No swap needed
  Compare 10 and -70
  Swap 10 and -70
  List after swap: [-68, -10, -8, 2, -70, 10, -60, 56, 69, 77]
  Compare 10 and -60
  Swap 10 and -60
  List after swap: [-68, -10, -8, 2, -70, -60, 10, 56, 69, 77]

Pass 5:
  Compare -68 and -10
  No swap needed
  Compare -10 and -8
  No swap needed
  Compare -8 and 2
  No swap needed
  Compare 2 and -70
  Swap 2 and -70
  List after swap: [-68, -10, -8, -70, 2, -60, 10, 56, 69, 77]
  Compare 2 and -60
  Swap 2 and -60
  List after swap: [-68, -10, -8, -70, -60, 2, 10, 56, 69, 77]

Pass 6:
  Compare -68 and -10
  No swap needed
  Compare -10 and -8
  No swap needed
  Compare -8 and -70
  Swap -8 and -70
  List after swap: [-68, -10, -70, -8, -60, 2, 10, 56, 69, 77]
  Compare -8 and -60
  Swap -8 and -60
  List after swap: [-68, -10, -70, -60, -8, 2, 10, 56, 69, 77]

Pass 7:
  Compare -68 and -10
  No swap needed
  Compare -10 and -70
  Swap -10 and -70
  List after swap: [-68, -70, -10, -60, -8, 2, 10, 56, 69, 77]
  Compare -10 and -60
  Swap -10 and -60
  List after swap: [-68, -70, -60, -10, -8, 2, 10, 56, 69, 77]

Pass 8:
  Compare -68 and -70
  Swap -68 and -70
  List after swap: [-70, -68, -60, -10, -8, 2, 10, 56, 69, 77]
  Compare -68 and -60
  No swap needed

Pass 9:
  Compare -70 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -68, -60, -10, -8, 2, 10, 56, 69, 77]
</think>

<response>-70, -68, -60, -10, -8, 2, 10, 56, 69, 77</response>


input: Implement bubble sort on -100, 58, -88 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-100, 58, -88]

Pass 1:
  Compare -100 and 58
  No swap needed
  Compare 58 and -88
  Swap 58 and -88
  List after swap: [-100, -88, 58]

Pass 2:
  Compare -100 and -88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -88, 58]
</think>

<response>-100, -88, 58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 48, -81, 79, -65.

output:
<think>
Initial list: [48, -81, 79, -65]

Pass 1:
  Compare 48 and -81
  Swap 48 and -81
  List after swap: [-81, 48, 79, -65]
  Compare 48 and 79
  No swap needed
  Compare 79 and -65
  Swap 79 and -65
  List after swap: [-81, 48, -65, 79]

Pass 2:
  Compare -81 and 48
  No swap needed
  Compare 48 and -65
  Swap 48 and -65
  List after swap: [-81, -65, 48, 79]

Pass 3:
  Compare -81 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -65, 48, 79]
</think>

<response>-81, -65, 48, 79</response>


input: Carry out the bubble sort algorithm on 68, 25 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [68, 25]

Pass 1:
  Compare 68 and 25
  Swap 68 and 25
  List after swap: [25, 68]

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

Final sorted list: [25, 68]
</think>

<response>25, 68</response>


input: Sort these integers -72, -10, -20, -21, 8, 16, 15, 18, -1, -62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-72, -10, -20, -21, 8, 16, 15, 18, -1, -62]

Pass 1:
  Compare -72 and -10
  No swap needed
  Compare -10 and -20
  Swap -10 and -20
  List after swap: [-72, -20, -10, -21, 8, 16, 15, 18, -1, -62]
  Compare -10 and -21
  Swap -10 and -21
  List after swap: [-72, -20, -21, -10, 8, 16, 15, 18, -1, -62]
  Compare -10 and 8
  No swap needed
  Compare 8 and 16
  No swap needed
  Compare 16 and 15
  Swap 16 and 15
  List after swap: [-72, -20, -21, -10, 8, 15, 16, 18, -1, -62]
  Compare 16 and 18
  No swap needed
  Compare 18 and -1
  Swap 18 and -1
  List after swap: [-72, -20, -21, -10, 8, 15, 16, -1, 18, -62]
  Compare 18 and -62
  Swap 18 and -62
  List after swap: [-72, -20, -21, -10, 8, 15, 16, -1, -62, 18]

Pass 2:
  Compare -72 and -20
  No swap needed
  Compare -20 and -21
  Swap -20 and -21
  List after swap: [-72, -21, -20, -10, 8, 15, 16, -1, -62, 18]
  Compare -20 and -10
  No swap needed
  Compare -10 and 8
  No swap needed
  Compare 8 and 15
  No swap needed
  Compare 15 and 16
  No swap needed
  Compare 16 and -1
  Swap 16 and -1
  List after swap: [-72, -21, -20, -10, 8, 15, -1, 16, -62, 18]
  Compare 16 and -62
  Swap 16 and -62
  List after swap: [-72, -21, -20, -10, 8, 15, -1, -62, 16, 18]

Pass 3:
  Compare -72 and -21
  No swap needed
  Compare -21 and -20
  No swap needed
  Compare -20 and -10
  No swap needed
  Compare -10 and 8
  No swap needed
  Compare 8 and 15
  No swap needed
  Compare 15 and -1
  Swap 15 and -1
  List after swap: [-72, -21, -20, -10, 8, -1, 15, -62, 16, 18]
  Compare 15 and -62
  Swap 15 and -62
  List after swap: [-72, -21, -20, -10, 8, -1, -62, 15, 16, 18]

Pass 4:
  Compare -72 and -21
  No swap needed
  Compare -21 and -20
  No swap needed
  Compare -20 and -10
  No swap needed
  Compare -10 and 8
  No swap needed
  Compare 8 and -1
  Swap 8 and -1
  List after swap: [-72, -21, -20, -10, -1, 8, -62, 15, 16, 18]
  Compare 8 and -62
  Swap 8 and -62
  List after swap: [-72, -21, -20, -10, -1, -62, 8, 15, 16, 18]

Pass 5:
  Compare -72 and -21
  No swap needed
  Compare -21 and -20
  No swap needed
  Compare -20 and -10
  No swap needed
  Compare -10 and -1
  No swap needed
  Compare -1 and -62
  Swap -1 and -62
  List after swap: [-72, -21, -20, -10, -62, -1, 8, 15, 16, 18]

Pass 6:
  Compare -72 and -21
  No swap needed
  Compare -21 and -20
  No swap needed
  Compare -20 and -10
  No swap needed
  Compare -10 and -62
  Swap -10 and -62
  List after swap: [-72, -21, -20, -62, -10, -1, 8, 15, 16, 18]

Pass 7:
  Compare -72 and -21
  No swap needed
  Compare -21 and -20
  No swap needed
  Compare -20 and -62
  Swap -20 and -62
  List after swap: [-72, -21, -62, -20, -10, -1, 8, 15, 16, 18]

Pass 8:
  Compare -72 and -21
  No swap needed
  Compare -21 and -62
  Swap -21 and -62
  List after swap: [-72, -62, -21, -20, -10, -1, 8, 15, 16, 18]

Pass 9:
  Compare -72 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -62, -21, -20, -10, -1, 8, 15, 16, 18]
</think>

<response>-72, -62, -21, -20, -10, -1, 8, 15, 16, 18</response>


input: Sort these integers -51, 99, -55, 48, -21 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-51, 99, -55, 48, -21]

Pass 1:
  Compare -51 and 99
  No swap needed
  Compare 99 and -55
  Swap 99 and -55
  List after swap: [-51, -55, 99, 48, -21]
  Compare 99 and 48
  Swap 99 and 48
  List after swap: [-51, -55, 48, 99, -21]
  Compare 99 and -21
  Swap 99 and -21
  List after swap: [-51, -55, 48, -21, 99]

Pass 2:
  Compare -51 and -55
  Swap -51 and -55
  List after swap: [-55, -51, 48, -21, 99]
  Compare -51 and 48
  No swap needed
  Compare 48 and -21
  Swap 48 and -21
  List after swap: [-55, -51, -21, 48, 99]

Pass 3:
  Compare -55 and -51
  No swap needed
  Compare -51 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -51, -21, 48, 99]
</think>

<response>-55, -51, -21, 48, 99</response>


input: Demonstrate how bubble sort orders the integers -53, -57, 58, 69, 55, 88, -71, -9, -35 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-53, -57, 58, 69, 55, 88, -71, -9, -35]

Pass 1:
  Compare -53 and -57
  Swap -53 and -57
  List after swap: [-57, -53, 58, 69, 55, 88, -71, -9, -35]
  Compare -53 and 58
  No swap needed
  Compare 58 and 69
  No swap needed
  Compare 69 and 55
  Swap 69 and 55
  List after swap: [-57, -53, 58, 55, 69, 88, -71, -9, -35]
  Compare 69 and 88
  No swap needed
  Compare 88 and -71
  Swap 88 and -71
  List after swap: [-57, -53, 58, 55, 69, -71, 88, -9, -35]
  Compare 88 and -9
  Swap 88 and -9
  List after swap: [-57, -53, 58, 55, 69, -71, -9, 88, -35]
  Compare 88 and -35
  Swap 88 and -35
  List after swap: [-57, -53, 58, 55, 69, -71, -9, -35, 88]

Pass 2:
  Compare -57 and -53
  No swap needed
  Compare -53 and 58
  No swap needed
  Compare 58 and 55
  Swap 58 and 55
  List after swap: [-57, -53, 55, 58, 69, -71, -9, -35, 88]
  Compare 58 and 69
  No swap needed
  Compare 69 and -71
  Swap 69 and -71
  List after swap: [-57, -53, 55, 58, -71, 69, -9, -35, 88]
  Compare 69 and -9
  Swap 69 and -9
  List after swap: [-57, -53, 55, 58, -71, -9, 69, -35, 88]
  Compare 69 and -35
  Swap 69 and -35
  List after swap: [-57, -53, 55, 58, -71, -9, -35, 69, 88]

Pass 3:
  Compare -57 and -53
  No swap needed
  Compare -53 and 55
  No swap needed
  Compare 55 and 58
  No swap needed
  Compare 58 and -71
  Swap 58 and -71
  List after swap: [-57, -53, 55, -71, 58, -9, -35, 69, 88]
  Compare 58 and -9
  Swap 58 and -9
  List after swap: [-57, -53, 55, -71, -9, 58, -35, 69, 88]
  Compare 58 and -35
  Swap 58 and -35
  List after swap: [-57, -53, 55, -71, -9, -35, 58, 69, 88]

Pass 4:
  Compare -57 and -53
  No swap needed
  Compare -53 and 55
  No swap needed
  Compare 55 and -71
  Swap 55 and -71
  List after swap: [-57, -53, -71, 55, -9, -35, 58, 69, 88]
  Compare 55 and -9
  Swap 55 and -9
  List after swap: [-57, -53, -71, -9, 55, -35, 58, 69, 88]
  Compare 55 and -35
  Swap 55 and -35
  List after swap: [-57, -53, -71, -9, -35, 55, 58, 69, 88]

Pass 5:
  Compare -57 and -53
  No swap needed
  Compare -53 and -71
  Swap -53 and -71
  List after swap: [-57, -71, -53, -9, -35, 55, 58, 69, 88]
  Compare -53 and -9
  No swap needed
  Compare -9 and -35
  Swap -9 and -35
  List after swap: [-57, -71, -53, -35, -9, 55, 58, 69, 88]

Pass 6:
  Compare -57 and -71
  Swap -57 and -71
  List after swap: [-71, -57, -53, -35, -9, 55, 58, 69, 88]
  Compare -57 and -53
  No swap needed
  Compare -53 and -35
  No swap needed

Pass 7:
  Compare -71 and -57
  No swap needed
  Compare -57 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -57, -53, -35, -9, 55, 58, 69, 88]
</think>

<response>-71, -57, -53, -35, -9, 55, 58, 69, 88</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -14, -6, -76, -67, -69, -42.

output:
<think>
Initial list: [-14, -6, -76, -67, -69, -42]

Pass 1:
  Compare -14 and -6
  No swap needed
  Compare -6 and -76
  Swap -6 and -76
  List after swap: [-14, -76, -6, -67, -69, -42]
  Compare -6 and -67
  Swap -6 and -67
  List after swap: [-14, -76, -67, -6, -69, -42]
  Compare -6 and -69
  Swap -6 and -69
  List after swap: [-14, -76, -67, -69, -6, -42]
  Compare -6 and -42
  Swap -6 and -42
  List after swap: [-14, -76, -67, -69, -42, -6]

Pass 2:
  Compare -14 and -76
  Swap -14 and -76
  List after swap: [-76, -14, -67, -69, -42, -6]
  Compare -14 and -67
  Swap -14 and -67
  List after swap: [-76, -67, -14, -69, -42, -6]
  Compare -14 and -69
  Swap -14 and -69
  List after swap: [-76, -67, -69, -14, -42, -6]
  Compare -14 and -42
  Swap -14 and -42
  List after swap: [-76, -67, -69, -42, -14, -6]

Pass 3:
  Compare -76 and -67
  No swap needed
  Compare -67 and -69
  Swap -67 and -69
  List after swap: [-76, -69, -67, -42, -14, -6]
  Compare -67 and -42
  No swap needed

Pass 4:
  Compare -76 and -69
  No swap needed
  Compare -69 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -69, -67, -42, -14, -6]
</think>

<response>-76, -69, -67, -42, -14, -6</response>


input: Using the bubble sort method, sort 13, -26, -75 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [13, -26, -75]

Pass 1:
  Compare 13 and -26
  Swap 13 and -26
  List after swap: [-26, 13, -75]
  Compare 13 and -75
  Swap 13 and -75
  List after swap: [-26, -75, 13]

Pass 2:
  Compare -26 and -75
  Swap -26 and -75
  List after swap: [-75, -26, 13]

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

Final sorted list: [-75, -26, 13]
</think>

<response>-75, -26, 13</response>


input: Use the bubble sort technique to reorder 54, -37 into ascending order, and write down each step of the procedure.

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

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

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

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

<response>-37, 54</response>


input: Sort these integers -57, 76, 96, -49, 63, 14 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-57, 76, 96, -49, 63, 14]

Pass 1:
  Compare -57 and 76
  No swap needed
  Compare 76 and 96
  No swap needed
  Compare 96 and -49
  Swap 96 and -49
  List after swap: [-57, 76, -49, 96, 63, 14]
  Compare 96 and 63
  Swap 96 and 63
  List after swap: [-57, 76, -49, 63, 96, 14]
  Compare 96 and 14
  Swap 96 and 14
  List after swap: [-57, 76, -49, 63, 14, 96]

Pass 2:
  Compare -57 and 76
  No swap needed
  Compare 76 and -49
  Swap 76 and -49
  List after swap: [-57, -49, 76, 63, 14, 96]
  Compare 76 and 63
  Swap 76 and 63
  List after swap: [-57, -49, 63, 76, 14, 96]
  Compare 76 and 14
  Swap 76 and 14
  List after swap: [-57, -49, 63, 14, 76, 96]

Pass 3:
  Compare -57 and -49
  No swap needed
  Compare -49 and 63
  No swap needed
  Compare 63 and 14
  Swap 63 and 14
  List after swap: [-57, -49, 14, 63, 76, 96]

Pass 4:
  Compare -57 and -49
  No swap needed
  Compare -49 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -49, 14, 63, 76, 96]
</think>

<response>-57, -49, 14, 63, 76, 96</response>


input: Sort the list 51, -17, 73, -78, 74 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [51, -17, 73, -78, 74]

Pass 1:
  Compare 51 and -17
  Swap 51 and -17
  List after swap: [-17, 51, 73, -78, 74]
  Compare 51 and 73
  No swap needed
  Compare 73 and -78
  Swap 73 and -78
  List after swap: [-17, 51, -78, 73, 74]
  Compare 73 and 74
  No swap needed

Pass 2:
  Compare -17 and 51
  No swap needed
  Compare 51 and -78
  Swap 51 and -78
  List after swap: [-17, -78, 51, 73, 74]
  Compare 51 and 73
  No swap needed

Pass 3:
  Compare -17 and -78
  Swap -17 and -78
  List after swap: [-78, -17, 51, 73, 74]
  Compare -17 and 51
  No swap needed

Pass 4:
  Compare -78 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -17, 51, 73, 74]
</think>

<response>-78, -17, 51, 73, 74</response>


input: Perform a bubble sort on the integers -13, 87, 29, 91, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-13, 87, 29, 91]

Pass 1:
  Compare -13 and 87
  No swap needed
  Compare 87 and 29
  Swap 87 and 29
  List after swap: [-13, 29, 87, 91]
  Compare 87 and 91
  No swap needed

Pass 2:
  Compare -13 and 29
  No swap needed
  Compare 29 and 87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-13, 29, 87, 91]
</think>

<response>-13, 29, 87, 91</response>


input: Demonstrate how bubble sort orders the integers 33, -47, 30, -26, 43, -20 in ascending sequence, showing all steps.

output:
<think>
Initial list: [33, -47, 30, -26, 43, -20]

Pass 1:
  Compare 33 and -47
  Swap 33 and -47
  List after swap: [-47, 33, 30, -26, 43, -20]
  Compare 33 and 30
  Swap 33 and 30
  List after swap: [-47, 30, 33, -26, 43, -20]
  Compare 33 and -26
  Swap 33 and -26
  List after swap: [-47, 30, -26, 33, 43, -20]
  Compare 33 and 43
  No swap needed
  Compare 43 and -20
  Swap 43 and -20
  List after swap: [-47, 30, -26, 33, -20, 43]

Pass 2:
  Compare -47 and 30
  No swap needed
  Compare 30 and -26
  Swap 30 and -26
  List after swap: [-47, -26, 30, 33, -20, 43]
  Compare 30 and 33
  No swap needed
  Compare 33 and -20
  Swap 33 and -20
  List after swap: [-47, -26, 30, -20, 33, 43]

Pass 3:
  Compare -47 and -26
  No swap needed
  Compare -26 and 30
  No swap needed
  Compare 30 and -20
  Swap 30 and -20
  List after swap: [-47, -26, -20, 30, 33, 43]

Pass 4:
  Compare -47 and -26
  No swap needed
  Compare -26 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -26, -20, 30, 33, 43]
</think>

<response>-47, -26, -20, 30, 33, 43</response>


input: Arrange the numbers 69, 43, -48, 58, 56, 25, 18, 75, 30, -98 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [69, 43, -48, 58, 56, 25, 18, 75, 30, -98]

Pass 1:
  Compare 69 and 43
  Swap 69 and 43
  List after swap: [43, 69, -48, 58, 56, 25, 18, 75, 30, -98]
  Compare 69 and -48
  Swap 69 and -48
  List after swap: [43, -48, 69, 58, 56, 25, 18, 75, 30, -98]
  Compare 69 and 58
  Swap 69 and 58
  List after swap: [43, -48, 58, 69, 56, 25, 18, 75, 30, -98]
  Compare 69 and 56
  Swap 69 and 56
  List after swap: [43, -48, 58, 56, 69, 25, 18, 75, 30, -98]
  Compare 69 and 25
  Swap 69 and 25
  List after swap: [43, -48, 58, 56, 25, 69, 18, 75, 30, -98]
  Compare 69 and 18
  Swap 69 and 18
  List after swap: [43, -48, 58, 56, 25, 18, 69, 75, 30, -98]
  Compare 69 and 75
  No swap needed
  Compare 75 and 30
  Swap 75 and 30
  List after swap: [43, -48, 58, 56, 25, 18, 69, 30, 75, -98]
  Compare 75 and -98
  Swap 75 and -98
  List after swap: [43, -48, 58, 56, 25, 18, 69, 30, -98, 75]

Pass 2:
  Compare 43 and -48
  Swap 43 and -48
  List after swap: [-48, 43, 58, 56, 25, 18, 69, 30, -98, 75]
  Compare 43 and 58
  No swap needed
  Compare 58 and 56
  Swap 58 and 56
  List after swap: [-48, 43, 56, 58, 25, 18, 69, 30, -98, 75]
  Compare 58 and 25
  Swap 58 and 25
  List after swap: [-48, 43, 56, 25, 58, 18, 69, 30, -98, 75]
  Compare 58 and 18
  Swap 58 and 18
  List after swap: [-48, 43, 56, 25, 18, 58, 69, 30, -98, 75]
  Compare 58 and 69
  No swap needed
  Compare 69 and 30
  Swap 69 and 30
  List after swap: [-48, 43, 56, 25, 18, 58, 30, 69, -98, 75]
  Compare 69 and -98
  Swap 69 and -98
  List after swap: [-48, 43, 56, 25, 18, 58, 30, -98, 69, 75]

Pass 3:
  Compare -48 and 43
  No swap needed
  Compare 43 and 56
  No swap needed
  Compare 56 and 25
  Swap 56 and 25
  List after swap: [-48, 43, 25, 56, 18, 58, 30, -98, 69, 75]
  Compare 56 and 18
  Swap 56 and 18
  List after swap: [-48, 43, 25, 18, 56, 58, 30, -98, 69, 75]
  Compare 56 and 58
  No swap needed
  Compare 58 and 30
  Swap 58 and 30
  List after swap: [-48, 43, 25, 18, 56, 30, 58, -98, 69, 75]
  Compare 58 and -98
  Swap 58 and -98
  List after swap: [-48, 43, 25, 18, 56, 30, -98, 58, 69, 75]

Pass 4:
  Compare -48 and 43
  No swap needed
  Compare 43 and 25
  Swap 43 and 25
  List after swap: [-48, 25, 43, 18, 56, 30, -98, 58, 69, 75]
  Compare 43 and 18
  Swap 43 and 18
  List after swap: [-48, 25, 18, 43, 56, 30, -98, 58, 69, 75]
  Compare 43 and 56
  No swap needed
  Compare 56 and 30
  Swap 56 and 30
  List after swap: [-48, 25, 18, 43, 30, 56, -98, 58, 69, 75]
  Compare 56 and -98
  Swap 56 and -98
  List after swap: [-48, 25, 18, 43, 30, -98, 56, 58, 69, 75]

Pass 5:
  Compare -48 and 25
  No swap needed
  Compare 25 and 18
  Swap 25 and 18
  List after swap: [-48, 18, 25, 43, 30, -98, 56, 58, 69, 75]
  Compare 25 and 43
  No swap needed
  Compare 43 and 30
  Swap 43 and 30
  List after swap: [-48, 18, 25, 30, 43, -98, 56, 58, 69, 75]
  Compare 43 and -98
  Swap 43 and -98
  List after swap: [-48, 18, 25, 30, -98, 43, 56, 58, 69, 75]

Pass 6:
  Compare -48 and 18
  No swap needed
  Compare 18 and 25
  No swap needed
  Compare 25 and 30
  No swap needed
  Compare 30 and -98
  Swap 30 and -98
  List after swap: [-48, 18, 25, -98, 30, 43, 56, 58, 69, 75]

Pass 7:
  Compare -48 and 18
  No swap needed
  Compare 18 and 25
  No swap needed
  Compare 25 and -98
  Swap 25 and -98
  List after swap: [-48, 18, -98, 25, 30, 43, 56, 58, 69, 75]

Pass 8:
  Compare -48 and 18
  No swap needed
  Compare 18 and -98
  Swap 18 and -98
  List after swap: [-48, -98, 18, 25, 30, 43, 56, 58, 69, 75]

Pass 9:
  Compare -48 and -98
  Swap -48 and -98
  List after swap: [-98, -48, 18, 25, 30, 43, 56, 58, 69, 75]

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

Final sorted list: [-98, -48, 18, 25, 30, 43, 56, 58, 69, 75]
</think>

<response>-98, -48, 18, 25, 30, 43, 56, 58, 69, 75</response>


input: Sort the list 33, -69, 48, -1, -73, -64, 5 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [33, -69, 48, -1, -73, -64, 5]

Pass 1:
  Compare 33 and -69
  Swap 33 and -69
  List after swap: [-69, 33, 48, -1, -73, -64, 5]
  Compare 33 and 48
  No swap needed
  Compare 48 and -1
  Swap 48 and -1
  List after swap: [-69, 33, -1, 48, -73, -64, 5]
  Compare 48 and -73
  Swap 48 and -73
  List after swap: [-69, 33, -1, -73, 48, -64, 5]
  Compare 48 and -64
  Swap 48 and -64
  List after swap: [-69, 33, -1, -73, -64, 48, 5]
  Compare 48 and 5
  Swap 48 and 5
  List after swap: [-69, 33, -1, -73, -64, 5, 48]

Pass 2:
  Compare -69 and 33
  No swap needed
  Compare 33 and -1
  Swap 33 and -1
  List after swap: [-69, -1, 33, -73, -64, 5, 48]
  Compare 33 and -73
  Swap 33 and -73
  List after swap: [-69, -1, -73, 33, -64, 5, 48]
  Compare 33 and -64
  Swap 33 and -64
  List after swap: [-69, -1, -73, -64, 33, 5, 48]
  Compare 33 and 5
  Swap 33 and 5
  List after swap: [-69, -1, -73, -64, 5, 33, 48]

Pass 3:
  Compare -69 and -1
  No swap needed
  Compare -1 and -73
  Swap -1 and -73
  List after swap: [-69, -73, -1, -64, 5, 33, 48]
  Compare -1 and -64
  Swap -1 and -64
  List after swap: [-69, -73, -64, -1, 5, 33, 48]
  Compare -1 and 5
  No swap needed

Pass 4:
  Compare -69 and -73
  Swap -69 and -73
  List after swap: [-73, -69, -64, -1, 5, 33, 48]
  Compare -69 and -64
  No swap needed
  Compare -64 and -1
  No swap needed

Pass 5:
  Compare -73 and -69
  No swap needed
  Compare -69 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -69, -64, -1, 5, 33, 48]
</think>

<response>-73, -69, -64, -1, 5, 33, 48</response>


input: Carry out the bubble sort algorithm on -67, 4, -42, 84 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-67, 4, -42, 84]

Pass 1:
  Compare -67 and 4
  No swap needed
  Compare 4 and -42
  Swap 4 and -42
  List after swap: [-67, -42, 4, 84]
  Compare 4 and 84
  No swap needed

Pass 2:
  Compare -67 and -42
  No swap needed
  Compare -42 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -42, 4, 84]
</think>

<response>-67, -42, 4, 84</response>


input: Use the bubble sort technique to reorder 96, 30, 7, -55, -100, 61 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [96, 30, 7, -55, -100, 61]

Pass 1:
  Compare 96 and 30
  Swap 96 and 30
  List after swap: [30, 96, 7, -55, -100, 61]
  Compare 96 and 7
  Swap 96 and 7
  List after swap: [30, 7, 96, -55, -100, 61]
  Compare 96 and -55
  Swap 96 and -55
  List after swap: [30, 7, -55, 96, -100, 61]
  Compare 96 and -100
  Swap 96 and -100
  List after swap: [30, 7, -55, -100, 96, 61]
  Compare 96 and 61
  Swap 96 and 61
  List after swap: [30, 7, -55, -100, 61, 96]

Pass 2:
  Compare 30 and 7
  Swap 30 and 7
  List after swap: [7, 30, -55, -100, 61, 96]
  Compare 30 and -55
  Swap 30 and -55
  List after swap: [7, -55, 30, -100, 61, 96]
  Compare 30 and -100
  Swap 30 and -100
  List after swap: [7, -55, -100, 30, 61, 96]
  Compare 30 and 61
  No swap needed

Pass 3:
  Compare 7 and -55
  Swap 7 and -55
  List after swap: [-55, 7, -100, 30, 61, 96]
  Compare 7 and -100
  Swap 7 and -100
  List after swap: [-55, -100, 7, 30, 61, 96]
  Compare 7 and 30
  No swap needed

Pass 4:
  Compare -55 and -100
  Swap -55 and -100
  List after swap: [-100, -55, 7, 30, 61, 96]
  Compare -55 and 7
  No swap needed

Pass 5:
  Compare -100 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -55, 7, 30, 61, 96]
</think>

<response>-100, -55, 7, 30, 61, 96</response>


input: Demonstrate how bubble sort orders the integers 97, 27, -52, 10, 87, 76, 30 in ascending sequence, showing all steps.

output:
<think>
Initial list: [97, 27, -52, 10, 87, 76, 30]

Pass 1:
  Compare 97 and 27
  Swap 97 and 27
  List after swap: [27, 97, -52, 10, 87, 76, 30]
  Compare 97 and -52
  Swap 97 and -52
  List after swap: [27, -52, 97, 10, 87, 76, 30]
  Compare 97 and 10
  Swap 97 and 10
  List after swap: [27, -52, 10, 97, 87, 76, 30]
  Compare 97 and 87
  Swap 97 and 87
  List after swap: [27, -52, 10, 87, 97, 76, 30]
  Compare 97 and 76
  Swap 97 and 76
  List after swap: [27, -52, 10, 87, 76, 97, 30]
  Compare 97 and 30
  Swap 97 and 30
  List after swap: [27, -52, 10, 87, 76, 30, 97]

Pass 2:
  Compare 27 and -52
  Swap 27 and -52
  List after swap: [-52, 27, 10, 87, 76, 30, 97]
  Compare 27 and 10
  Swap 27 and 10
  List after swap: [-52, 10, 27, 87, 76, 30, 97]
  Compare 27 and 87
  No swap needed
  Compare 87 and 76
  Swap 87 and 76
  List after swap: [-52, 10, 27, 76, 87, 30, 97]
  Compare 87 and 30
  Swap 87 and 30
  List after swap: [-52, 10, 27, 76, 30, 87, 97]

Pass 3:
  Compare -52 and 10
  No swap needed
  Compare 10 and 27
  No swap needed
  Compare 27 and 76
  No swap needed
  Compare 76 and 30
  Swap 76 and 30
  List after swap: [-52, 10, 27, 30, 76, 87, 97]

Pass 4:
  Compare -52 and 10
  No swap needed
  Compare 10 and 27
  No swap needed
  Compare 27 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, 10, 27, 30, 76, 87, 97]
</think>

<response>-52, 10, 27, 30, 76, 87, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -100, 55, -86, 48.

output:
<think>
Initial list: [-100, 55, -86, 48]

Pass 1:
  Compare -100 and 55
  No swap needed
  Compare 55 and -86
  Swap 55 and -86
  List after swap: [-100, -86, 55, 48]
  Compare 55 and 48
  Swap 55 and 48
  List after swap: [-100, -86, 48, 55]

Pass 2:
  Compare -100 and -86
  No swap needed
  Compare -86 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -86, 48, 55]
</think>

<response>-100, -86, 48, 55</response>


input: Use the bubble sort technique to reorder -81, -20, -35, 92, -2, 39, 47, 22, -98 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-81, -20, -35, 92, -2, 39, 47, 22, -98]

Pass 1:
  Compare -81 and -20
  No swap needed
  Compare -20 and -35
  Swap -20 and -35
  List after swap: [-81, -35, -20, 92, -2, 39, 47, 22, -98]
  Compare -20 and 92
  No swap needed
  Compare 92 and -2
  Swap 92 and -2
  List after swap: [-81, -35, -20, -2, 92, 39, 47, 22, -98]
  Compare 92 and 39
  Swap 92 and 39
  List after swap: [-81, -35, -20, -2, 39, 92, 47, 22, -98]
  Compare 92 and 47
  Swap 92 and 47
  List after swap: [-81, -35, -20, -2, 39, 47, 92, 22, -98]
  Compare 92 and 22
  Swap 92 and 22
  List after swap: [-81, -35, -20, -2, 39, 47, 22, 92, -98]
  Compare 92 and -98
  Swap 92 and -98
  List after swap: [-81, -35, -20, -2, 39, 47, 22, -98, 92]

Pass 2:
  Compare -81 and -35
  No swap needed
  Compare -35 and -20
  No swap needed
  Compare -20 and -2
  No swap needed
  Compare -2 and 39
  No swap needed
  Compare 39 and 47
  No swap needed
  Compare 47 and 22
  Swap 47 and 22
  List after swap: [-81, -35, -20, -2, 39, 22, 47, -98, 92]
  Compare 47 and -98
  Swap 47 and -98
  List after swap: [-81, -35, -20, -2, 39, 22, -98, 47, 92]

Pass 3:
  Compare -81 and -35
  No swap needed
  Compare -35 and -20
  No swap needed
  Compare -20 and -2
  No swap needed
  Compare -2 and 39
  No swap needed
  Compare 39 and 22
  Swap 39 and 22
  List after swap: [-81, -35, -20, -2, 22, 39, -98, 47, 92]
  Compare 39 and -98
  Swap 39 and -98
  List after swap: [-81, -35, -20, -2, 22, -98, 39, 47, 92]

Pass 4:
  Compare -81 and -35
  No swap needed
  Compare -35 and -20
  No swap needed
  Compare -20 and -2
  No swap needed
  Compare -2 and 22
  No swap needed
  Compare 22 and -98
  Swap 22 and -98
  List after swap: [-81, -35, -20, -2, -98, 22, 39, 47, 92]

Pass 5:
  Compare -81 and -35
  No swap needed
  Compare -35 and -20
  No swap needed
  Compare -20 and -2
  No swap needed
  Compare -2 and -98
  Swap -2 and -98
  List after swap: [-81, -35, -20, -98, -2, 22, 39, 47, 92]

Pass 6:
  Compare -81 and -35
  No swap needed
  Compare -35 and -20
  No swap needed
  Compare -20 and -98
  Swap -20 and -98
  List after swap: [-81, -35, -98, -20, -2, 22, 39, 47, 92]

Pass 7:
  Compare -81 and -35
  No swap needed
  Compare -35 and -98
  Swap -35 and -98
  List after swap: [-81, -98, -35, -20, -2, 22, 39, 47, 92]

Pass 8:
  Compare -81 and -98
  Swap -81 and -98
  List after swap: [-98, -81, -35, -20, -2, 22, 39, 47, 92]

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

Final sorted list: [-98, -81, -35, -20, -2, 22, 39, 47, 92]
</think>

<response>-98, -81, -35, -20, -2, 22, 39, 47, 92</response>


input: Execute bubble sort to sort -16, -81, -74, -39, 64, -92, 69, 35, -50, 3 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-16, -81, -74, -39, 64, -92, 69, 35, -50, 3]

Pass 1:
  Compare -16 and -81
  Swap -16 and -81
  List after swap: [-81, -16, -74, -39, 64, -92, 69, 35, -50, 3]
  Compare -16 and -74
  Swap -16 and -74
  List after swap: [-81, -74, -16, -39, 64, -92, 69, 35, -50, 3]
  Compare -16 and -39
  Swap -16 and -39
  List after swap: [-81, -74, -39, -16, 64, -92, 69, 35, -50, 3]
  Compare -16 and 64
  No swap needed
  Compare 64 and -92
  Swap 64 and -92
  List after swap: [-81, -74, -39, -16, -92, 64, 69, 35, -50, 3]
  Compare 64 and 69
  No swap needed
  Compare 69 and 35
  Swap 69 and 35
  List after swap: [-81, -74, -39, -16, -92, 64, 35, 69, -50, 3]
  Compare 69 and -50
  Swap 69 and -50
  List after swap: [-81, -74, -39, -16, -92, 64, 35, -50, 69, 3]
  Compare 69 and 3
  Swap 69 and 3
  List after swap: [-81, -74, -39, -16, -92, 64, 35, -50, 3, 69]

Pass 2:
  Compare -81 and -74
  No swap needed
  Compare -74 and -39
  No swap needed
  Compare -39 and -16
  No swap needed
  Compare -16 and -92
  Swap -16 and -92
  List after swap: [-81, -74, -39, -92, -16, 64, 35, -50, 3, 69]
  Compare -16 and 64
  No swap needed
  Compare 64 and 35
  Swap 64 and 35
  List after swap: [-81, -74, -39, -92, -16, 35, 64, -50, 3, 69]
  Compare 64 and -50
  Swap 64 and -50
  List after swap: [-81, -74, -39, -92, -16, 35, -50, 64, 3, 69]
  Compare 64 and 3
  Swap 64 and 3
  List after swap: [-81, -74, -39, -92, -16, 35, -50, 3, 64, 69]

Pass 3:
  Compare -81 and -74
  No swap needed
  Compare -74 and -39
  No swap needed
  Compare -39 and -92
  Swap -39 and -92
  List after swap: [-81, -74, -92, -39, -16, 35, -50, 3, 64, 69]
  Compare -39 and -16
  No swap needed
  Compare -16 and 35
  No swap needed
  Compare 35 and -50
  Swap 35 and -50
  List after swap: [-81, -74, -92, -39, -16, -50, 35, 3, 64, 69]
  Compare 35 and 3
  Swap 35 and 3
  List after swap: [-81, -74, -92, -39, -16, -50, 3, 35, 64, 69]

Pass 4:
  Compare -81 and -74
  No swap needed
  Compare -74 and -92
  Swap -74 and -92
  List after swap: [-81, -92, -74, -39, -16, -50, 3, 35, 64, 69]
  Compare -74 and -39
  No swap needed
  Compare -39 and -16
  No swap needed
  Compare -16 and -50
  Swap -16 and -50
  List after swap: [-81, -92, -74, -39, -50, -16, 3, 35, 64, 69]
  Compare -16 and 3
  No swap needed

Pass 5:
  Compare -81 and -92
  Swap -81 and -92
  List after swap: [-92, -81, -74, -39, -50, -16, 3, 35, 64, 69]
  Compare -81 and -74
  No swap needed
  Compare -74 and -39
  No swap needed
  Compare -39 and -50
  Swap -39 and -50
  List after swap: [-92, -81, -74, -50, -39, -16, 3, 35, 64, 69]
  Compare -39 and -16
  No swap needed

Pass 6:
  Compare -92 and -81
  No swap needed
  Compare -81 and -74
  No swap needed
  Compare -74 and -50
  No swap needed
  Compare -50 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -81, -74, -50, -39, -16, 3, 35, 64, 69]
</think>

<response>-92, -81, -74, -50, -39, -16, 3, 35, 64, 69</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -47, -17, -1, 95, 20, 73, -48, 63, 19.

output:
<think>
Initial list: [-47, -17, -1, 95, 20, 73, -48, 63, 19]

Pass 1:
  Compare -47 and -17
  No swap needed
  Compare -17 and -1
  No swap needed
  Compare -1 and 95
  No swap needed
  Compare 95 and 20
  Swap 95 and 20
  List after swap: [-47, -17, -1, 20, 95, 73, -48, 63, 19]
  Compare 95 and 73
  Swap 95 and 73
  List after swap: [-47, -17, -1, 20, 73, 95, -48, 63, 19]
  Compare 95 and -48
  Swap 95 and -48
  List after swap: [-47, -17, -1, 20, 73, -48, 95, 63, 19]
  Compare 95 and 63
  Swap 95 and 63
  List after swap: [-47, -17, -1, 20, 73, -48, 63, 95, 19]
  Compare 95 and 19
  Swap 95 and 19
  List after swap: [-47, -17, -1, 20, 73, -48, 63, 19, 95]

Pass 2:
  Compare -47 and -17
  No swap needed
  Compare -17 and -1
  No swap needed
  Compare -1 and 20
  No swap needed
  Compare 20 and 73
  No swap needed
  Compare 73 and -48
  Swap 73 and -48
  List after swap: [-47, -17, -1, 20, -48, 73, 63, 19, 95]
  Compare 73 and 63
  Swap 73 and 63
  List after swap: [-47, -17, -1, 20, -48, 63, 73, 19, 95]
  Compare 73 and 19
  Swap 73 and 19
  List after swap: [-47, -17, -1, 20, -48, 63, 19, 73, 95]

Pass 3:
  Compare -47 and -17
  No swap needed
  Compare -17 and -1
  No swap needed
  Compare -1 and 20
  No swap needed
  Compare 20 and -48
  Swap 20 and -48
  List after swap: [-47, -17, -1, -48, 20, 63, 19, 73, 95]
  Compare 20 and 63
  No swap needed
  Compare 63 and 19
  Swap 63 and 19
  List after swap: [-47, -17, -1, -48, 20, 19, 63, 73, 95]

Pass 4:
  Compare -47 and -17
  No swap needed
  Compare -17 and -1
  No swap needed
  Compare -1 and -48
  Swap -1 and -48
  List after swap: [-47, -17, -48, -1, 20, 19, 63, 73, 95]
  Compare -1 and 20
  No swap needed
  Compare 20 and 19
  Swap 20 and 19
  List after swap: [-47, -17, -48, -1, 19, 20, 63, 73, 95]

Pass 5:
  Compare -47 and -17
  No swap needed
  Compare -17 and -48
  Swap -17 and -48
  List after swap: [-47, -48, -17, -1, 19, 20, 63, 73, 95]
  Compare -17 and -1
  No swap needed
  Compare -1 and 19
  No swap needed

Pass 6:
  Compare -47 and -48
  Swap -47 and -48
  List after swap: [-48, -47, -17, -1, 19, 20, 63, 73, 95]
  Compare -47 and -17
  No swap needed
  Compare -17 and -1
  No swap needed

Pass 7:
  Compare -48 and -47
  No swap needed
  Compare -47 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -47, -17, -1, 19, 20, 63, 73, 95]
</think>

<response>-48, -47, -17, -1, 19, 20, 63, 73, 95</response>


input: Sort the list -35, -10, -54, -11, 56, -64, -55, -92, -15, 54 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-35, -10, -54, -11, 56, -64, -55, -92, -15, 54]

Pass 1:
  Compare -35 and -10
  No swap needed
  Compare -10 and -54
  Swap -10 and -54
  List after swap: [-35, -54, -10, -11, 56, -64, -55, -92, -15, 54]
  Compare -10 and -11
  Swap -10 and -11
  List after swap: [-35, -54, -11, -10, 56, -64, -55, -92, -15, 54]
  Compare -10 and 56
  No swap needed
  Compare 56 and -64
  Swap 56 and -64
  List after swap: [-35, -54, -11, -10, -64, 56, -55, -92, -15, 54]
  Compare 56 and -55
  Swap 56 and -55
  List after swap: [-35, -54, -11, -10, -64, -55, 56, -92, -15, 54]
  Compare 56 and -92
  Swap 56 and -92
  List after swap: [-35, -54, -11, -10, -64, -55, -92, 56, -15, 54]
  Compare 56 and -15
  Swap 56 and -15
  List after swap: [-35, -54, -11, -10, -64, -55, -92, -15, 56, 54]
  Compare 56 and 54
  Swap 56 and 54
  List after swap: [-35, -54, -11, -10, -64, -55, -92, -15, 54, 56]

Pass 2:
  Compare -35 and -54
  Swap -35 and -54
  List after swap: [-54, -35, -11, -10, -64, -55, -92, -15, 54, 56]
  Compare -35 and -11
  No swap needed
  Compare -11 and -10
  No swap needed
  Compare -10 and -64
  Swap -10 and -64
  List after swap: [-54, -35, -11, -64, -10, -55, -92, -15, 54, 56]
  Compare -10 and -55
  Swap -10 and -55
  List after swap: [-54, -35, -11, -64, -55, -10, -92, -15, 54, 56]
  Compare -10 and -92
  Swap -10 and -92
  List after swap: [-54, -35, -11, -64, -55, -92, -10, -15, 54, 56]
  Compare -10 and -15
  Swap -10 and -15
  List after swap: [-54, -35, -11, -64, -55, -92, -15, -10, 54, 56]
  Compare -10 and 54
  No swap needed

Pass 3:
  Compare -54 and -35
  No swap needed
  Compare -35 and -11
  No swap needed
  Compare -11 and -64
  Swap -11 and -64
  List after swap: [-54, -35, -64, -11, -55, -92, -15, -10, 54, 56]
  Compare -11 and -55
  Swap -11 and -55
  List after swap: [-54, -35, -64, -55, -11, -92, -15, -10, 54, 56]
  Compare -11 and -92
  Swap -11 and -92
  List after swap: [-54, -35, -64, -55, -92, -11, -15, -10, 54, 56]
  Compare -11 and -15
  Swap -11 and -15
  List after swap: [-54, -35, -64, -55, -92, -15, -11, -10, 54, 56]
  Compare -11 and -10
  No swap needed

Pass 4:
  Compare -54 and -35
  No swap needed
  Compare -35 and -64
  Swap -35 and -64
  List after swap: [-54, -64, -35, -55, -92, -15, -11, -10, 54, 56]
  Compare -35 and -55
  Swap -35 and -55
  List after swap: [-54, -64, -55, -35, -92, -15, -11, -10, 54, 56]
  Compare -35 and -92
  Swap -35 and -92
  List after swap: [-54, -64, -55, -92, -35, -15, -11, -10, 54, 56]
  Compare -35 and -15
  No swap needed
  Compare -15 and -11
  No swap needed

Pass 5:
  Compare -54 and -64
  Swap -54 and -64
  List after swap: [-64, -54, -55, -92, -35, -15, -11, -10, 54, 56]
  Compare -54 and -55
  Swap -54 and -55
  List after swap: [-64, -55, -54, -92, -35, -15, -11, -10, 54, 56]
  Compare -54 and -92
  Swap -54 and -92
  List after swap: [-64, -55, -92, -54, -35, -15, -11, -10, 54, 56]
  Compare -54 and -35
  No swap needed
  Compare -35 and -15
  No swap needed

Pass 6:
  Compare -64 and -55
  No swap needed
  Compare -55 and -92
  Swap -55 and -92
  List after swap: [-64, -92, -55, -54, -35, -15, -11, -10, 54, 56]
  Compare -55 and -54
  No swap needed
  Compare -54 and -35
  No swap needed

Pass 7:
  Compare -64 and -92
  Swap -64 and -92
  List after swap: [-92, -64, -55, -54, -35, -15, -11, -10, 54, 56]
  Compare -64 and -55
  No swap needed
  Compare -55 and -54
  No swap needed

Pass 8:
  Compare -92 and -64
  No swap needed
  Compare -64 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -64, -55, -54, -35, -15, -11, -10, 54, 56]
</think>

<response>-92, -64, -55, -54, -35, -15, -11, -10, 54, 56</response>


input: Using the bubble sort method, sort 7, -96, 24 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [7, -96, 24]

Pass 1:
  Compare 7 and -96
  Swap 7 and -96
  List after swap: [-96, 7, 24]
  Compare 7 and 24
  No swap needed

Pass 2:
  Compare -96 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, 7, 24]
</think>

<response>-96, 7, 24</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 54, -59, 73, 93, 29, 58, -67, 52.

output:
<think>
Initial list: [54, -59, 73, 93, 29, 58, -67, 52]

Pass 1:
  Compare 54 and -59
  Swap 54 and -59
  List after swap: [-59, 54, 73, 93, 29, 58, -67, 52]
  Compare 54 and 73
  No swap needed
  Compare 73 and 93
  No swap needed
  Compare 93 and 29
  Swap 93 and 29
  List after swap: [-59, 54, 73, 29, 93, 58, -67, 52]
  Compare 93 and 58
  Swap 93 and 58
  List after swap: [-59, 54, 73, 29, 58, 93, -67, 52]
  Compare 93 and -67
  Swap 93 and -67
  List after swap: [-59, 54, 73, 29, 58, -67, 93, 52]
  Compare 93 and 52
  Swap 93 and 52
  List after swap: [-59, 54, 73, 29, 58, -67, 52, 93]

Pass 2:
  Compare -59 and 54
  No swap needed
  Compare 54 and 73
  No swap needed
  Compare 73 and 29
  Swap 73 and 29
  List after swap: [-59, 54, 29, 73, 58, -67, 52, 93]
  Compare 73 and 58
  Swap 73 and 58
  List after swap: [-59, 54, 29, 58, 73, -67, 52, 93]
  Compare 73 and -67
  Swap 73 and -67
  List after swap: [-59, 54, 29, 58, -67, 73, 52, 93]
  Compare 73 and 52
  Swap 73 and 52
  List after swap: [-59, 54, 29, 58, -67, 52, 73, 93]

Pass 3:
  Compare -59 and 54
  No swap needed
  Compare 54 and 29
  Swap 54 and 29
  List after swap: [-59, 29, 54, 58, -67, 52, 73, 93]
  Compare 54 and 58
  No swap needed
  Compare 58 and -67
  Swap 58 and -67
  List after swap: [-59, 29, 54, -67, 58, 52, 73, 93]
  Compare 58 and 52
  Swap 58 and 52
  List after swap: [-59, 29, 54, -67, 52, 58, 73, 93]

Pass 4:
  Compare -59 and 29
  No swap needed
  Compare 29 and 54
  No swap needed
  Compare 54 and -67
  Swap 54 and -67
  List after swap: [-59, 29, -67, 54, 52, 58, 73, 93]
  Compare 54 and 52
  Swap 54 and 52
  List after swap: [-59, 29, -67, 52, 54, 58, 73, 93]

Pass 5:
  Compare -59 and 29
  No swap needed
  Compare 29 and -67
  Swap 29 and -67
  List after swap: [-59, -67, 29, 52, 54, 58, 73, 93]
  Compare 29 and 52
  No swap needed

Pass 6:
  Compare -59 and -67
  Swap -59 and -67
  List after swap: [-67, -59, 29, 52, 54, 58, 73, 93]
  Compare -59 and 29
  No swap needed

Pass 7:
  Compare -67 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -59, 29, 52, 54, 58, 73, 93]
</think>

<response>-67, -59, 29, 52, 54, 58, 73, 93</response>


input: Sort the list 3, -10, 51, 61, -8, -83, 10, -92 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [3, -10, 51, 61, -8, -83, 10, -92]

Pass 1:
  Compare 3 and -10
  Swap 3 and -10
  List after swap: [-10, 3, 51, 61, -8, -83, 10, -92]
  Compare 3 and 51
  No swap needed
  Compare 51 and 61
  No swap needed
  Compare 61 and -8
  Swap 61 and -8
  List after swap: [-10, 3, 51, -8, 61, -83, 10, -92]
  Compare 61 and -83
  Swap 61 and -83
  List after swap: [-10, 3, 51, -8, -83, 61, 10, -92]
  Compare 61 and 10
  Swap 61 and 10
  List after swap: [-10, 3, 51, -8, -83, 10, 61, -92]
  Compare 61 and -92
  Swap 61 and -92
  List after swap: [-10, 3, 51, -8, -83, 10, -92, 61]

Pass 2:
  Compare -10 and 3
  No swap needed
  Compare 3 and 51
  No swap needed
  Compare 51 and -8
  Swap 51 and -8
  List after swap: [-10, 3, -8, 51, -83, 10, -92, 61]
  Compare 51 and -83
  Swap 51 and -83
  List after swap: [-10, 3, -8, -83, 51, 10, -92, 61]
  Compare 51 and 10
  Swap 51 and 10
  List after swap: [-10, 3, -8, -83, 10, 51, -92, 61]
  Compare 51 and -92
  Swap 51 and -92
  List after swap: [-10, 3, -8, -83, 10, -92, 51, 61]

Pass 3:
  Compare -10 and 3
  No swap needed
  Compare 3 and -8
  Swap 3 and -8
  List after swap: [-10, -8, 3, -83, 10, -92, 51, 61]
  Compare 3 and -83
  Swap 3 and -83
  List after swap: [-10, -8, -83, 3, 10, -92, 51, 61]
  Compare 3 and 10
  No swap needed
  Compare 10 and -92
  Swap 10 and -92
  List after swap: [-10, -8, -83, 3, -92, 10, 51, 61]

Pass 4:
  Compare -10 and -8
  No swap needed
  Compare -8 and -83
  Swap -8 and -83
  List after swap: [-10, -83, -8, 3, -92, 10, 51, 61]
  Compare -8 and 3
  No swap needed
  Compare 3 and -92
  Swap 3 and -92
  List after swap: [-10, -83, -8, -92, 3, 10, 51, 61]

Pass 5:
  Compare -10 and -83
  Swap -10 and -83
  List after swap: [-83, -10, -8, -92, 3, 10, 51, 61]
  Compare -10 and -8
  No swap needed
  Compare -8 and -92
  Swap -8 and -92
  List after swap: [-83, -10, -92, -8, 3, 10, 51, 61]

Pass 6:
  Compare -83 and -10
  No swap needed
  Compare -10 and -92
  Swap -10 and -92
  List after swap: [-83, -92, -10, -8, 3, 10, 51, 61]

Pass 7:
  Compare -83 and -92
  Swap -83 and -92
  List after swap: [-92, -83, -10, -8, 3, 10, 51, 61]

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

Final sorted list: [-92, -83, -10, -8, 3, 10, 51, 61]
</think>

<response>-92, -83, -10, -8, 3, 10, 51, 61</response>


input: Arrange the numbers 63, -60, 45, -11, 61, -70, 83, -24, -15, -37 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [63, -60, 45, -11, 61, -70, 83, -24, -15, -37]

Pass 1:
  Compare 63 and -60
  Swap 63 and -60
  List after swap: [-60, 63, 45, -11, 61, -70, 83, -24, -15, -37]
  Compare 63 and 45
  Swap 63 and 45
  List after swap: [-60, 45, 63, -11, 61, -70, 83, -24, -15, -37]
  Compare 63 and -11
  Swap 63 and -11
  List after swap: [-60, 45, -11, 63, 61, -70, 83, -24, -15, -37]
  Compare 63 and 61
  Swap 63 and 61
  List after swap: [-60, 45, -11, 61, 63, -70, 83, -24, -15, -37]
  Compare 63 and -70
  Swap 63 and -70
  List after swap: [-60, 45, -11, 61, -70, 63, 83, -24, -15, -37]
  Compare 63 and 83
  No swap needed
  Compare 83 and -24
  Swap 83 and -24
  List after swap: [-60, 45, -11, 61, -70, 63, -24, 83, -15, -37]
  Compare 83 and -15
  Swap 83 and -15
  List after swap: [-60, 45, -11, 61, -70, 63, -24, -15, 83, -37]
  Compare 83 and -37
  Swap 83 and -37
  List after swap: [-60, 45, -11, 61, -70, 63, -24, -15, -37, 83]

Pass 2:
  Compare -60 and 45
  No swap needed
  Compare 45 and -11
  Swap 45 and -11
  List after swap: [-60, -11, 45, 61, -70, 63, -24, -15, -37, 83]
  Compare 45 and 61
  No swap needed
  Compare 61 and -70
  Swap 61 and -70
  List after swap: [-60, -11, 45, -70, 61, 63, -24, -15, -37, 83]
  Compare 61 and 63
  No swap needed
  Compare 63 and -24
  Swap 63 and -24
  List after swap: [-60, -11, 45, -70, 61, -24, 63, -15, -37, 83]
  Compare 63 and -15
  Swap 63 and -15
  List after swap: [-60, -11, 45, -70, 61, -24, -15, 63, -37, 83]
  Compare 63 and -37
  Swap 63 and -37
  List after swap: [-60, -11, 45, -70, 61, -24, -15, -37, 63, 83]

Pass 3:
  Compare -60 and -11
  No swap needed
  Compare -11 and 45
  No swap needed
  Compare 45 and -70
  Swap 45 and -70
  List after swap: [-60, -11, -70, 45, 61, -24, -15, -37, 63, 83]
  Compare 45 and 61
  No swap needed
  Compare 61 and -24
  Swap 61 and -24
  List after swap: [-60, -11, -70, 45, -24, 61, -15, -37, 63, 83]
  Compare 61 and -15
  Swap 61 and -15
  List after swap: [-60, -11, -70, 45, -24, -15, 61, -37, 63, 83]
  Compare 61 and -37
  Swap 61 and -37
  List after swap: [-60, -11, -70, 45, -24, -15, -37, 61, 63, 83]

Pass 4:
  Compare -60 and -11
  No swap needed
  Compare -11 and -70
  Swap -11 and -70
  List after swap: [-60, -70, -11, 45, -24, -15, -37, 61, 63, 83]
  Compare -11 and 45
  No swap needed
  Compare 45 and -24
  Swap 45 and -24
  List after swap: [-60, -70, -11, -24, 45, -15, -37, 61, 63, 83]
  Compare 45 and -15
  Swap 45 and -15
  List after swap: [-60, -70, -11, -24, -15, 45, -37, 61, 63, 83]
  Compare 45 and -37
  Swap 45 and -37
  List after swap: [-60, -70, -11, -24, -15, -37, 45, 61, 63, 83]

Pass 5:
  Compare -60 and -70
  Swap -60 and -70
  List after swap: [-70, -60, -11, -24, -15, -37, 45, 61, 63, 83]
  Compare -60 and -11
  No swap needed
  Compare -11 and -24
  Swap -11 and -24
  List after swap: [-70, -60, -24, -11, -15, -37, 45, 61, 63, 83]
  Compare -11 and -15
  Swap -11 and -15
  List after swap: [-70, -60, -24, -15, -11, -37, 45, 61, 63, 83]
  Compare -11 and -37
  Swap -11 and -37
  List after swap: [-70, -60, -24, -15, -37, -11, 45, 61, 63, 83]

Pass 6:
  Compare -70 and -60
  No swap needed
  Compare -60 and -24
  No swap needed
  Compare -24 and -15
  No swap needed
  Compare -15 and -37
  Swap -15 and -37
  List after swap: [-70, -60, -24, -37, -15, -11, 45, 61, 63, 83]

Pass 7:
  Compare -70 and -60
  No swap needed
  Compare -60 and -24
  No swap needed
  Compare -24 and -37
  Swap -24 and -37
  List after swap: [-70, -60, -37, -24, -15, -11, 45, 61, 63, 83]

Pass 8:
  Compare -70 and -60
  No swap needed
  Compare -60 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -60, -37, -24, -15, -11, 45, 61, 63, 83]
</think>

<response>-70, -60, -37, -24, -15, -11, 45, 61, 63, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -43, 87, 48.

output:
<think>
Initial list: [-43, 87, 48]

Pass 1:
  Compare -43 and 87
  No swap needed
  Compare 87 and 48
  Swap 87 and 48
  List after swap: [-43, 48, 87]

Pass 2:
  Compare -43 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, 48, 87]
</think>

<response>-43, 48, 87</response>


input: Execute bubble sort to sort -13, -61, -21 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-13, -61, -21]

Pass 1:
  Compare -13 and -61
  Swap -13 and -61
  List after swap: [-61, -13, -21]
  Compare -13 and -21
  Swap -13 and -21
  List after swap: [-61, -21, -13]

Pass 2:
  Compare -61 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -21, -13]
</think>

<response>-61, -21, -13</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 51, 36.

output:
<think>
Initial list: [51, 36]

Pass 1:
  Compare 51 and 36
  Swap 51 and 36
  List after swap: [36, 51]

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

Final sorted list: [36, 51]
</think>

<response>36, 51</response>


input: Implement bubble sort on -1, 21, -64, -45, 24, -39 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-1, 21, -64, -45, 24, -39]

Pass 1:
  Compare -1 and 21
  No swap needed
  Compare 21 and -64
  Swap 21 and -64
  List after swap: [-1, -64, 21, -45, 24, -39]
  Compare 21 and -45
  Swap 21 and -45
  List after swap: [-1, -64, -45, 21, 24, -39]
  Compare 21 and 24
  No swap needed
  Compare 24 and -39
  Swap 24 and -39
  List after swap: [-1, -64, -45, 21, -39, 24]

Pass 2:
  Compare -1 and -64
  Swap -1 and -64
  List after swap: [-64, -1, -45, 21, -39, 24]
  Compare -1 and -45
  Swap -1 and -45
  List after swap: [-64, -45, -1, 21, -39, 24]
  Compare -1 and 21
  No swap needed
  Compare 21 and -39
  Swap 21 and -39
  List after swap: [-64, -45, -1, -39, 21, 24]

Pass 3:
  Compare -64 and -45
  No swap needed
  Compare -45 and -1
  No swap needed
  Compare -1 and -39
  Swap -1 and -39
  List after swap: [-64, -45, -39, -1, 21, 24]

Pass 4:
  Compare -64 and -45
  No swap needed
  Compare -45 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -45, -39, -1, 21, 24]
</think>

<response>-64, -45, -39, -1, 21, 24</response>


input: Carry out the bubble sort algorithm on 75, 67, 77 to arrange them from smallest to largest, documenting each step.

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

Pass 1:
  Compare 75 and 67
  Swap 75 and 67
  List after swap: [67, 75, 77]
  Compare 75 and 77
  No swap needed

Pass 2:
  Compare 67 and 75
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>67, 75, 77</response>


input: Arrange the numbers -63, -80 in ascending order by applying bubble sort, and display each intermediate step.

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

Pass 1:
  Compare -63 and -80
  Swap -63 and -80
  List after swap: [-80, -63]

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

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

<response>-80, -63</response>


input: Sort these integers 19, 27, -80, -62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [19, 27, -80, -62]

Pass 1:
  Compare 19 and 27
  No swap needed
  Compare 27 and -80
  Swap 27 and -80
  List after swap: [19, -80, 27, -62]
  Compare 27 and -62
  Swap 27 and -62
  List after swap: [19, -80, -62, 27]

Pass 2:
  Compare 19 and -80
  Swap 19 and -80
  List after swap: [-80, 19, -62, 27]
  Compare 19 and -62
  Swap 19 and -62
  List after swap: [-80, -62, 19, 27]

Pass 3:
  Compare -80 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -62, 19, 27]
</think>

<response>-80, -62, 19, 27</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -6, 60, 48, -47, -69, 51.

output:
<think>
Initial list: [-6, 60, 48, -47, -69, 51]

Pass 1:
  Compare -6 and 60
  No swap needed
  Compare 60 and 48
  Swap 60 and 48
  List after swap: [-6, 48, 60, -47, -69, 51]
  Compare 60 and -47
  Swap 60 and -47
  List after swap: [-6, 48, -47, 60, -69, 51]
  Compare 60 and -69
  Swap 60 and -69
  List after swap: [-6, 48, -47, -69, 60, 51]
  Compare 60 and 51
  Swap 60 and 51
  List after swap: [-6, 48, -47, -69, 51, 60]

Pass 2:
  Compare -6 and 48
  No swap needed
  Compare 48 and -47
  Swap 48 and -47
  List after swap: [-6, -47, 48, -69, 51, 60]
  Compare 48 and -69
  Swap 48 and -69
  List after swap: [-6, -47, -69, 48, 51, 60]
  Compare 48 and 51
  No swap needed

Pass 3:
  Compare -6 and -47
  Swap -6 and -47
  List after swap: [-47, -6, -69, 48, 51, 60]
  Compare -6 and -69
  Swap -6 and -69
  List after swap: [-47, -69, -6, 48, 51, 60]
  Compare -6 and 48
  No swap needed

Pass 4:
  Compare -47 and -69
  Swap -47 and -69
  List after swap: [-69, -47, -6, 48, 51, 60]
  Compare -47 and -6
  No swap needed

Pass 5:
  Compare -69 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -47, -6, 48, 51, 60]
</think>

<response>-69, -47, -6, 48, 51, 60</response>


input: Demonstrate how bubble sort orders the integers -17, 75, 27, -16, 22 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-17, 75, 27, -16, 22]

Pass 1:
  Compare -17 and 75
  No swap needed
  Compare 75 and 27
  Swap 75 and 27
  List after swap: [-17, 27, 75, -16, 22]
  Compare 75 and -16
  Swap 75 and -16
  List after swap: [-17, 27, -16, 75, 22]
  Compare 75 and 22
  Swap 75 and 22
  List after swap: [-17, 27, -16, 22, 75]

Pass 2:
  Compare -17 and 27
  No swap needed
  Compare 27 and -16
  Swap 27 and -16
  List after swap: [-17, -16, 27, 22, 75]
  Compare 27 and 22
  Swap 27 and 22
  List after swap: [-17, -16, 22, 27, 75]

Pass 3:
  Compare -17 and -16
  No swap needed
  Compare -16 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-17, -16, 22, 27, 75]
</think>

<response>-17, -16, 22, 27, 75</response>


input: Sort the list 63, 91, 68, 35, 14 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [63, 91, 68, 35, 14]

Pass 1:
  Compare 63 and 91
  No swap needed
  Compare 91 and 68
  Swap 91 and 68
  List after swap: [63, 68, 91, 35, 14]
  Compare 91 and 35
  Swap 91 and 35
  List after swap: [63, 68, 35, 91, 14]
  Compare 91 and 14
  Swap 91 and 14
  List after swap: [63, 68, 35, 14, 91]

Pass 2:
  Compare 63 and 68
  No swap needed
  Compare 68 and 35
  Swap 68 and 35
  List after swap: [63, 35, 68, 14, 91]
  Compare 68 and 14
  Swap 68 and 14
  List after swap: [63, 35, 14, 68, 91]

Pass 3:
  Compare 63 and 35
  Swap 63 and 35
  List after swap: [35, 63, 14, 68, 91]
  Compare 63 and 14
  Swap 63 and 14
  List after swap: [35, 14, 63, 68, 91]

Pass 4:
  Compare 35 and 14
  Swap 35 and 14
  List after swap: [14, 35, 63, 68, 91]

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

Final sorted list: [14, 35, 63, 68, 91]
</think>

<response>14, 35, 63, 68, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -12, 25, 88, -95, -88, -4.

output:
<think>
Initial list: [-12, 25, 88, -95, -88, -4]

Pass 1:
  Compare -12 and 25
  No swap needed
  Compare 25 and 88
  No swap needed
  Compare 88 and -95
  Swap 88 and -95
  List after swap: [-12, 25, -95, 88, -88, -4]
  Compare 88 and -88
  Swap 88 and -88
  List after swap: [-12, 25, -95, -88, 88, -4]
  Compare 88 and -4
  Swap 88 and -4
  List after swap: [-12, 25, -95, -88, -4, 88]

Pass 2:
  Compare -12 and 25
  No swap needed
  Compare 25 and -95
  Swap 25 and -95
  List after swap: [-12, -95, 25, -88, -4, 88]
  Compare 25 and -88
  Swap 25 and -88
  List after swap: [-12, -95, -88, 25, -4, 88]
  Compare 25 and -4
  Swap 25 and -4
  List after swap: [-12, -95, -88, -4, 25, 88]

Pass 3:
  Compare -12 and -95
  Swap -12 and -95
  List after swap: [-95, -12, -88, -4, 25, 88]
  Compare -12 and -88
  Swap -12 and -88
  List after swap: [-95, -88, -12, -4, 25, 88]
  Compare -12 and -4
  No swap needed

Pass 4:
  Compare -95 and -88
  No swap needed
  Compare -88 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -88, -12, -4, 25, 88]
</think>

<response>-95, -88, -12, -4, 25, 88</response>


input: Using the bubble sort method, sort -67, -1 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-67, -1]

Pass 1:
  Compare -67 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -1]
</think>

<response>-67, -1</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -62, 53, 38, -27, 14, 89, 39, -71.

output:
<think>
Initial list: [-62, 53, 38, -27, 14, 89, 39, -71]

Pass 1:
  Compare -62 and 53
  No swap needed
  Compare 53 and 38
  Swap 53 and 38
  List after swap: [-62, 38, 53, -27, 14, 89, 39, -71]
  Compare 53 and -27
  Swap 53 and -27
  List after swap: [-62, 38, -27, 53, 14, 89, 39, -71]
  Compare 53 and 14
  Swap 53 and 14
  List after swap: [-62, 38, -27, 14, 53, 89, 39, -71]
  Compare 53 and 89
  No swap needed
  Compare 89 and 39
  Swap 89 and 39
  List after swap: [-62, 38, -27, 14, 53, 39, 89, -71]
  Compare 89 and -71
  Swap 89 and -71
  List after swap: [-62, 38, -27, 14, 53, 39, -71, 89]

Pass 2:
  Compare -62 and 38
  No swap needed
  Compare 38 and -27
  Swap 38 and -27
  List after swap: [-62, -27, 38, 14, 53, 39, -71, 89]
  Compare 38 and 14
  Swap 38 and 14
  List after swap: [-62, -27, 14, 38, 53, 39, -71, 89]
  Compare 38 and 53
  No swap needed
  Compare 53 and 39
  Swap 53 and 39
  List after swap: [-62, -27, 14, 38, 39, 53, -71, 89]
  Compare 53 and -71
  Swap 53 and -71
  List after swap: [-62, -27, 14, 38, 39, -71, 53, 89]

Pass 3:
  Compare -62 and -27
  No swap needed
  Compare -27 and 14
  No swap needed
  Compare 14 and 38
  No swap needed
  Compare 38 and 39
  No swap needed
  Compare 39 and -71
  Swap 39 and -71
  List after swap: [-62, -27, 14, 38, -71, 39, 53, 89]

Pass 4:
  Compare -62 and -27
  No swap needed
  Compare -27 and 14
  No swap needed
  Compare 14 and 38
  No swap needed
  Compare 38 and -71
  Swap 38 and -71
  List after swap: [-62, -27, 14, -71, 38, 39, 53, 89]

Pass 5:
  Compare -62 and -27
  No swap needed
  Compare -27 and 14
  No swap needed
  Compare 14 and -71
  Swap 14 and -71
  List after swap: [-62, -27, -71, 14, 38, 39, 53, 89]

Pass 6:
  Compare -62 and -27
  No swap needed
  Compare -27 and -71
  Swap -27 and -71
  List after swap: [-62, -71, -27, 14, 38, 39, 53, 89]

Pass 7:
  Compare -62 and -71
  Swap -62 and -71
  List after swap: [-71, -62, -27, 14, 38, 39, 53, 89]

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

Final sorted list: [-71, -62, -27, 14, 38, 39, 53, 89]
</think>

<response>-71, -62, -27, 14, 38, 39, 53, 89</response>


input: Implement bubble sort on 93, 77, -53, -40, -18, -98 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [93, 77, -53, -40, -18, -98]

Pass 1:
  Compare 93 and 77
  Swap 93 and 77
  List after swap: [77, 93, -53, -40, -18, -98]
  Compare 93 and -53
  Swap 93 and -53
  List after swap: [77, -53, 93, -40, -18, -98]
  Compare 93 and -40
  Swap 93 and -40
  List after swap: [77, -53, -40, 93, -18, -98]
  Compare 93 and -18
  Swap 93 and -18
  List after swap: [77, -53, -40, -18, 93, -98]
  Compare 93 and -98
  Swap 93 and -98
  List after swap: [77, -53, -40, -18, -98, 93]

Pass 2:
  Compare 77 and -53
  Swap 77 and -53
  List after swap: [-53, 77, -40, -18, -98, 93]
  Compare 77 and -40
  Swap 77 and -40
  List after swap: [-53, -40, 77, -18, -98, 93]
  Compare 77 and -18
  Swap 77 and -18
  List after swap: [-53, -40, -18, 77, -98, 93]
  Compare 77 and -98
  Swap 77 and -98
  List after swap: [-53, -40, -18, -98, 77, 93]

Pass 3:
  Compare -53 and -40
  No swap needed
  Compare -40 and -18
  No swap needed
  Compare -18 and -98
  Swap -18 and -98
  List after swap: [-53, -40, -98, -18, 77, 93]

Pass 4:
  Compare -53 and -40
  No swap needed
  Compare -40 and -98
  Swap -40 and -98
  List after swap: [-53, -98, -40, -18, 77, 93]

Pass 5:
  Compare -53 and -98
  Swap -53 and -98
  List after swap: [-98, -53, -40, -18, 77, 93]

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

Final sorted list: [-98, -53, -40, -18, 77, 93]
</think>

<response>-98, -53, -40, -18, 77, 93</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -91, 71, 12, 1, 18, 70, 81, -62, 47.

output:
<think>
Initial list: [-91, 71, 12, 1, 18, 70, 81, -62, 47]

Pass 1:
  Compare -91 and 71
  No swap needed
  Compare 71 and 12
  Swap 71 and 12
  List after swap: [-91, 12, 71, 1, 18, 70, 81, -62, 47]
  Compare 71 and 1
  Swap 71 and 1
  List after swap: [-91, 12, 1, 71, 18, 70, 81, -62, 47]
  Compare 71 and 18
  Swap 71 and 18
  List after swap: [-91, 12, 1, 18, 71, 70, 81, -62, 47]
  Compare 71 and 70
  Swap 71 and 70
  List after swap: [-91, 12, 1, 18, 70, 71, 81, -62, 47]
  Compare 71 and 81
  No swap needed
  Compare 81 and -62
  Swap 81 and -62
  List after swap: [-91, 12, 1, 18, 70, 71, -62, 81, 47]
  Compare 81 and 47
  Swap 81 and 47
  List after swap: [-91, 12, 1, 18, 70, 71, -62, 47, 81]

Pass 2:
  Compare -91 and 12
  No swap needed
  Compare 12 and 1
  Swap 12 and 1
  List after swap: [-91, 1, 12, 18, 70, 71, -62, 47, 81]
  Compare 12 and 18
  No swap needed
  Compare 18 and 70
  No swap needed
  Compare 70 and 71
  No swap needed
  Compare 71 and -62
  Swap 71 and -62
  List after swap: [-91, 1, 12, 18, 70, -62, 71, 47, 81]
  Compare 71 and 47
  Swap 71 and 47
  List after swap: [-91, 1, 12, 18, 70, -62, 47, 71, 81]

Pass 3:
  Compare -91 and 1
  No swap needed
  Compare 1 and 12
  No swap needed
  Compare 12 and 18
  No swap needed
  Compare 18 and 70
  No swap needed
  Compare 70 and -62
  Swap 70 and -62
  List after swap: [-91, 1, 12, 18, -62, 70, 47, 71, 81]
  Compare 70 and 47
  Swap 70 and 47
  List after swap: [-91, 1, 12, 18, -62, 47, 70, 71, 81]

Pass 4:
  Compare -91 and 1
  No swap needed
  Compare 1 and 12
  No swap needed
  Compare 12 and 18
  No swap needed
  Compare 18 and -62
  Swap 18 and -62
  List after swap: [-91, 1, 12, -62, 18, 47, 70, 71, 81]
  Compare 18 and 47
  No swap needed

Pass 5:
  Compare -91 and 1
  No swap needed
  Compare 1 and 12
  No swap needed
  Compare 12 and -62
  Swap 12 and -62
  List after swap: [-91, 1, -62, 12, 18, 47, 70, 71, 81]
  Compare 12 and 18
  No swap needed

Pass 6:
  Compare -91 and 1
  No swap needed
  Compare 1 and -62
  Swap 1 and -62
  List after swap: [-91, -62, 1, 12, 18, 47, 70, 71, 81]
  Compare 1 and 12
  No swap needed

Pass 7:
  Compare -91 and -62
  No swap needed
  Compare -62 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -62, 1, 12, 18, 47, 70, 71, 81]
</think>

<response>-91, -62, 1, 12, 18, 47, 70, 71, 81</response>


input: Sort the list -12, 27, 80, -39, -63, 98, 96, 22, 33, 5 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-12, 27, 80, -39, -63, 98, 96, 22, 33, 5]

Pass 1:
  Compare -12 and 27
  No swap needed
  Compare 27 and 80
  No swap needed
  Compare 80 and -39
  Swap 80 and -39
  List after swap: [-12, 27, -39, 80, -63, 98, 96, 22, 33, 5]
  Compare 80 and -63
  Swap 80 and -63
  List after swap: [-12, 27, -39, -63, 80, 98, 96, 22, 33, 5]
  Compare 80 and 98
  No swap needed
  Compare 98 and 96
  Swap 98 and 96
  List after swap: [-12, 27, -39, -63, 80, 96, 98, 22, 33, 5]
  Compare 98 and 22
  Swap 98 and 22
  List after swap: [-12, 27, -39, -63, 80, 96, 22, 98, 33, 5]
  Compare 98 and 33
  Swap 98 and 33
  List after swap: [-12, 27, -39, -63, 80, 96, 22, 33, 98, 5]
  Compare 98 and 5
  Swap 98 and 5
  List after swap: [-12, 27, -39, -63, 80, 96, 22, 33, 5, 98]

Pass 2:
  Compare -12 and 27
  No swap needed
  Compare 27 and -39
  Swap 27 and -39
  List after swap: [-12, -39, 27, -63, 80, 96, 22, 33, 5, 98]
  Compare 27 and -63
  Swap 27 and -63
  List after swap: [-12, -39, -63, 27, 80, 96, 22, 33, 5, 98]
  Compare 27 and 80
  No swap needed
  Compare 80 and 96
  No swap needed
  Compare 96 and 22
  Swap 96 and 22
  List after swap: [-12, -39, -63, 27, 80, 22, 96, 33, 5, 98]
  Compare 96 and 33
  Swap 96 and 33
  List after swap: [-12, -39, -63, 27, 80, 22, 33, 96, 5, 98]
  Compare 96 and 5
  Swap 96 and 5
  List after swap: [-12, -39, -63, 27, 80, 22, 33, 5, 96, 98]

Pass 3:
  Compare -12 and -39
  Swap -12 and -39
  List after swap: [-39, -12, -63, 27, 80, 22, 33, 5, 96, 98]
  Compare -12 and -63
  Swap -12 and -63
  List after swap: [-39, -63, -12, 27, 80, 22, 33, 5, 96, 98]
  Compare -12 and 27
  No swap needed
  Compare 27 and 80
  No swap needed
  Compare 80 and 22
  Swap 80 and 22
  List after swap: [-39, -63, -12, 27, 22, 80, 33, 5, 96, 98]
  Compare 80 and 33
  Swap 80 and 33
  List after swap: [-39, -63, -12, 27, 22, 33, 80, 5, 96, 98]
  Compare 80 and 5
  Swap 80 and 5
  List after swap: [-39, -63, -12, 27, 22, 33, 5, 80, 96, 98]

Pass 4:
  Compare -39 and -63
  Swap -39 and -63
  List after swap: [-63, -39, -12, 27, 22, 33, 5, 80, 96, 98]
  Compare -39 and -12
  No swap needed
  Compare -12 and 27
  No swap needed
  Compare 27 and 22
  Swap 27 and 22
  List after swap: [-63, -39, -12, 22, 27, 33, 5, 80, 96, 98]
  Compare 27 and 33
  No swap needed
  Compare 33 and 5
  Swap 33 and 5
  List after swap: [-63, -39, -12, 22, 27, 5, 33, 80, 96, 98]

Pass 5:
  Compare -63 and -39
  No swap needed
  Compare -39 and -12
  No swap needed
  Compare -12 and 22
  No swap needed
  Compare 22 and 27
  No swap needed
  Compare 27 and 5
  Swap 27 and 5
  List after swap: [-63, -39, -12, 22, 5, 27, 33, 80, 96, 98]

Pass 6:
  Compare -63 and -39
  No swap needed
  Compare -39 and -12
  No swap needed
  Compare -12 and 22
  No swap needed
  Compare 22 and 5
  Swap 22 and 5
  List after swap: [-63, -39, -12, 5, 22, 27, 33, 80, 96, 98]

Pass 7:
  Compare -63 and -39
  No swap needed
  Compare -39 and -12
  No swap needed
  Compare -12 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -39, -12, 5, 22, 27, 33, 80, 96, 98]
</think>

<response>-63, -39, -12, 5, 22, 27, 33, 80, 96, 98</response>


input: Perform a bubble sort on the integers 84, -23, -31, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [84, -23, -31]

Pass 1:
  Compare 84 and -23
  Swap 84 and -23
  List after swap: [-23, 84, -31]
  Compare 84 and -31
  Swap 84 and -31
  List after swap: [-23, -31, 84]

Pass 2:
  Compare -23 and -31
  Swap -23 and -31
  List after swap: [-31, -23, 84]

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

Final sorted list: [-31, -23, 84]
</think>

<response>-31, -23, 84</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -4, -64, -86, -94, 15, 29, 54, 44, -12, 17.

output:
<think>
Initial list: [-4, -64, -86, -94, 15, 29, 54, 44, -12, 17]

Pass 1:
  Compare -4 and -64
  Swap -4 and -64
  List after swap: [-64, -4, -86, -94, 15, 29, 54, 44, -12, 17]
  Compare -4 and -86
  Swap -4 and -86
  List after swap: [-64, -86, -4, -94, 15, 29, 54, 44, -12, 17]
  Compare -4 and -94
  Swap -4 and -94
  List after swap: [-64, -86, -94, -4, 15, 29, 54, 44, -12, 17]
  Compare -4 and 15
  No swap needed
  Compare 15 and 29
  No swap needed
  Compare 29 and 54
  No swap needed
  Compare 54 and 44
  Swap 54 and 44
  List after swap: [-64, -86, -94, -4, 15, 29, 44, 54, -12, 17]
  Compare 54 and -12
  Swap 54 and -12
  List after swap: [-64, -86, -94, -4, 15, 29, 44, -12, 54, 17]
  Compare 54 and 17
  Swap 54 and 17
  List after swap: [-64, -86, -94, -4, 15, 29, 44, -12, 17, 54]

Pass 2:
  Compare -64 and -86
  Swap -64 and -86
  List after swap: [-86, -64, -94, -4, 15, 29, 44, -12, 17, 54]
  Compare -64 and -94
  Swap -64 and -94
  List after swap: [-86, -94, -64, -4, 15, 29, 44, -12, 17, 54]
  Compare -64 and -4
  No swap needed
  Compare -4 and 15
  No swap needed
  Compare 15 and 29
  No swap needed
  Compare 29 and 44
  No swap needed
  Compare 44 and -12
  Swap 44 and -12
  List after swap: [-86, -94, -64, -4, 15, 29, -12, 44, 17, 54]
  Compare 44 and 17
  Swap 44 and 17
  List after swap: [-86, -94, -64, -4, 15, 29, -12, 17, 44, 54]

Pass 3:
  Compare -86 and -94
  Swap -86 and -94
  List after swap: [-94, -86, -64, -4, 15, 29, -12, 17, 44, 54]
  Compare -86 and -64
  No swap needed
  Compare -64 and -4
  No swap needed
  Compare -4 and 15
  No swap needed
  Compare 15 and 29
  No swap needed
  Compare 29 and -12
  Swap 29 and -12
  List after swap: [-94, -86, -64, -4, 15, -12, 29, 17, 44, 54]
  Compare 29 and 17
  Swap 29 and 17
  List after swap: [-94, -86, -64, -4, 15, -12, 17, 29, 44, 54]

Pass 4:
  Compare -94 and -86
  No swap needed
  Compare -86 and -64
  No swap needed
  Compare -64 and -4
  No swap needed
  Compare -4 and 15
  No swap needed
  Compare 15 and -12
  Swap 15 and -12
  List after swap: [-94, -86, -64, -4, -12, 15, 17, 29, 44, 54]
  Compare 15 and 17
  No swap needed

Pass 5:
  Compare -94 and -86
  No swap needed
  Compare -86 and -64
  No swap needed
  Compare -64 and -4
  No swap needed
  Compare -4 and -12
  Swap -4 and -12
  List after swap: [-94, -86, -64, -12, -4, 15, 17, 29, 44, 54]
  Compare -4 and 15
  No swap needed

Pass 6:
  Compare -94 and -86
  No swap needed
  Compare -86 and -64
  No swap needed
  Compare -64 and -12
  No swap needed
  Compare -12 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -86, -64, -12, -4, 15, 17, 29, 44, 54]
</think>

<response>-94, -86, -64, -12, -4, 15, 17, 29, 44, 54</response>


input: Sort the list -2, -61, -97, 95, -8, 10, -44, 47, -69 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-2, -61, -97, 95, -8, 10, -44, 47, -69]

Pass 1:
  Compare -2 and -61
  Swap -2 and -61
  List after swap: [-61, -2, -97, 95, -8, 10, -44, 47, -69]
  Compare -2 and -97
  Swap -2 and -97
  List after swap: [-61, -97, -2, 95, -8, 10, -44, 47, -69]
  Compare -2 and 95
  No swap needed
  Compare 95 and -8
  Swap 95 and -8
  List after swap: [-61, -97, -2, -8, 95, 10, -44, 47, -69]
  Compare 95 and 10
  Swap 95 and 10
  List after swap: [-61, -97, -2, -8, 10, 95, -44, 47, -69]
  Compare 95 and -44
  Swap 95 and -44
  List after swap: [-61, -97, -2, -8, 10, -44, 95, 47, -69]
  Compare 95 and 47
  Swap 95 and 47
  List after swap: [-61, -97, -2, -8, 10, -44, 47, 95, -69]
  Compare 95 and -69
  Swap 95 and -69
  List after swap: [-61, -97, -2, -8, 10, -44, 47, -69, 95]

Pass 2:
  Compare -61 and -97
  Swap -61 and -97
  List after swap: [-97, -61, -2, -8, 10, -44, 47, -69, 95]
  Compare -61 and -2
  No swap needed
  Compare -2 and -8
  Swap -2 and -8
  List after swap: [-97, -61, -8, -2, 10, -44, 47, -69, 95]
  Compare -2 and 10
  No swap needed
  Compare 10 and -44
  Swap 10 and -44
  List after swap: [-97, -61, -8, -2, -44, 10, 47, -69, 95]
  Compare 10 and 47
  No swap needed
  Compare 47 and -69
  Swap 47 and -69
  List after swap: [-97, -61, -8, -2, -44, 10, -69, 47, 95]

Pass 3:
  Compare -97 and -61
  No swap needed
  Compare -61 and -8
  No swap needed
  Compare -8 and -2
  No swap needed
  Compare -2 and -44
  Swap -2 and -44
  List after swap: [-97, -61, -8, -44, -2, 10, -69, 47, 95]
  Compare -2 and 10
  No swap needed
  Compare 10 and -69
  Swap 10 and -69
  List after swap: [-97, -61, -8, -44, -2, -69, 10, 47, 95]

Pass 4:
  Compare -97 and -61
  No swap needed
  Compare -61 and -8
  No swap needed
  Compare -8 and -44
  Swap -8 and -44
  List after swap: [-97, -61, -44, -8, -2, -69, 10, 47, 95]
  Compare -8 and -2
  No swap needed
  Compare -2 and -69
  Swap -2 and -69
  List after swap: [-97, -61, -44, -8, -69, -2, 10, 47, 95]

Pass 5:
  Compare -97 and -61
  No swap needed
  Compare -61 and -44
  No swap needed
  Compare -44 and -8
  No swap needed
  Compare -8 and -69
  Swap -8 and -69
  List after swap: [-97, -61, -44, -69, -8, -2, 10, 47, 95]

Pass 6:
  Compare -97 and -61
  No swap needed
  Compare -61 and -44
  No swap needed
  Compare -44 and -69
  Swap -44 and -69
  List after swap: [-97, -61, -69, -44, -8, -2, 10, 47, 95]

Pass 7:
  Compare -97 and -61
  No swap needed
  Compare -61 and -69
  Swap -61 and -69
  List after swap: [-97, -69, -61, -44, -8, -2, 10, 47, 95]

Pass 8:
  Compare -97 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -69, -61, -44, -8, -2, 10, 47, 95]
</think>

<response>-97, -69, -61, -44, -8, -2, 10, 47, 95</response>


input: Perform a bubble sort on the integers -40, -61, -100, 87, -98, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-40, -61, -100, 87, -98]

Pass 1:
  Compare -40 and -61
  Swap -40 and -61
  List after swap: [-61, -40, -100, 87, -98]
  Compare -40 and -100
  Swap -40 and -100
  List after swap: [-61, -100, -40, 87, -98]
  Compare -40 and 87
  No swap needed
  Compare 87 and -98
  Swap 87 and -98
  List after swap: [-61, -100, -40, -98, 87]

Pass 2:
  Compare -61 and -100
  Swap -61 and -100
  List after swap: [-100, -61, -40, -98, 87]
  Compare -61 and -40
  No swap needed
  Compare -40 and -98
  Swap -40 and -98
  List after swap: [-100, -61, -98, -40, 87]

Pass 3:
  Compare -100 and -61
  No swap needed
  Compare -61 and -98
  Swap -61 and -98
  List after swap: [-100, -98, -61, -40, 87]

Pass 4:
  Compare -100 and -98
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -98, -61, -40, 87]
</think>

<response>-100, -98, -61, -40, 87</response>


input: Using the bubble sort method, sort 29, 45, -88, -17, -32, -13 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [29, 45, -88, -17, -32, -13]

Pass 1:
  Compare 29 and 45
  No swap needed
  Compare 45 and -88
  Swap 45 and -88
  List after swap: [29, -88, 45, -17, -32, -13]
  Compare 45 and -17
  Swap 45 and -17
  List after swap: [29, -88, -17, 45, -32, -13]
  Compare 45 and -32
  Swap 45 and -32
  List after swap: [29, -88, -17, -32, 45, -13]
  Compare 45 and -13
  Swap 45 and -13
  List after swap: [29, -88, -17, -32, -13, 45]

Pass 2:
  Compare 29 and -88
  Swap 29 and -88
  List after swap: [-88, 29, -17, -32, -13, 45]
  Compare 29 and -17
  Swap 29 and -17
  List after swap: [-88, -17, 29, -32, -13, 45]
  Compare 29 and -32
  Swap 29 and -32
  List after swap: [-88, -17, -32, 29, -13, 45]
  Compare 29 and -13
  Swap 29 and -13
  List after swap: [-88, -17, -32, -13, 29, 45]

Pass 3:
  Compare -88 and -17
  No swap needed
  Compare -17 and -32
  Swap -17 and -32
  List after swap: [-88, -32, -17, -13, 29, 45]
  Compare -17 and -13
  No swap needed

Pass 4:
  Compare -88 and -32
  No swap needed
  Compare -32 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -32, -17, -13, 29, 45]
</think>

<response>-88, -32, -17, -13, 29, 45</response>


input: Sort the list 67, 93, 20, 87, 63 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [67, 93, 20, 87, 63]

Pass 1:
  Compare 67 and 93
  No swap needed
  Compare 93 and 20
  Swap 93 and 20
  List after swap: [67, 20, 93, 87, 63]
  Compare 93 and 87
  Swap 93 and 87
  List after swap: [67, 20, 87, 93, 63]
  Compare 93 and 63
  Swap 93 and 63
  List after swap: [67, 20, 87, 63, 93]

Pass 2:
  Compare 67 and 20
  Swap 67 and 20
  List after swap: [20, 67, 87, 63, 93]
  Compare 67 and 87
  No swap needed
  Compare 87 and 63
  Swap 87 and 63
  List after swap: [20, 67, 63, 87, 93]

Pass 3:
  Compare 20 and 67
  No swap needed
  Compare 67 and 63
  Swap 67 and 63
  List after swap: [20, 63, 67, 87, 93]

Pass 4:
  Compare 20 and 63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [20, 63, 67, 87, 93]
</think>

<response>20, 63, 67, 87, 93</response>


input: Sort the list -80, -19, 56, 75, 98, -12, 60, 7, 16, -55 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-80, -19, 56, 75, 98, -12, 60, 7, 16, -55]

Pass 1:
  Compare -80 and -19
  No swap needed
  Compare -19 and 56
  No swap needed
  Compare 56 and 75
  No swap needed
  Compare 75 and 98
  No swap needed
  Compare 98 and -12
  Swap 98 and -12
  List after swap: [-80, -19, 56, 75, -12, 98, 60, 7, 16, -55]
  Compare 98 and 60
  Swap 98 and 60
  List after swap: [-80, -19, 56, 75, -12, 60, 98, 7, 16, -55]
  Compare 98 and 7
  Swap 98 and 7
  List after swap: [-80, -19, 56, 75, -12, 60, 7, 98, 16, -55]
  Compare 98 and 16
  Swap 98 and 16
  List after swap: [-80, -19, 56, 75, -12, 60, 7, 16, 98, -55]
  Compare 98 and -55
  Swap 98 and -55
  List after swap: [-80, -19, 56, 75, -12, 60, 7, 16, -55, 98]

Pass 2:
  Compare -80 and -19
  No swap needed
  Compare -19 and 56
  No swap needed
  Compare 56 and 75
  No swap needed
  Compare 75 and -12
  Swap 75 and -12
  List after swap: [-80, -19, 56, -12, 75, 60, 7, 16, -55, 98]
  Compare 75 and 60
  Swap 75 and 60
  List after swap: [-80, -19, 56, -12, 60, 75, 7, 16, -55, 98]
  Compare 75 and 7
  Swap 75 and 7
  List after swap: [-80, -19, 56, -12, 60, 7, 75, 16, -55, 98]
  Compare 75 and 16
  Swap 75 and 16
  List after swap: [-80, -19, 56, -12, 60, 7, 16, 75, -55, 98]
  Compare 75 and -55
  Swap 75 and -55
  List after swap: [-80, -19, 56, -12, 60, 7, 16, -55, 75, 98]

Pass 3:
  Compare -80 and -19
  No swap needed
  Compare -19 and 56
  No swap needed
  Compare 56 and -12
  Swap 56 and -12
  List after swap: [-80, -19, -12, 56, 60, 7, 16, -55, 75, 98]
  Compare 56 and 60
  No swap needed
  Compare 60 and 7
  Swap 60 and 7
  List after swap: [-80, -19, -12, 56, 7, 60, 16, -55, 75, 98]
  Compare 60 and 16
  Swap 60 and 16
  List after swap: [-80, -19, -12, 56, 7, 16, 60, -55, 75, 98]
  Compare 60 and -55
  Swap 60 and -55
  List after swap: [-80, -19, -12, 56, 7, 16, -55, 60, 75, 98]

Pass 4:
  Compare -80 and -19
  No swap needed
  Compare -19 and -12
  No swap needed
  Compare -12 and 56
  No swap needed
  Compare 56 and 7
  Swap 56 and 7
  List after swap: [-80, -19, -12, 7, 56, 16, -55, 60, 75, 98]
  Compare 56 and 16
  Swap 56 and 16
  List after swap: [-80, -19, -12, 7, 16, 56, -55, 60, 75, 98]
  Compare 56 and -55
  Swap 56 and -55
  List after swap: [-80, -19, -12, 7, 16, -55, 56, 60, 75, 98]

Pass 5:
  Compare -80 and -19
  No swap needed
  Compare -19 and -12
  No swap needed
  Compare -12 and 7
  No swap needed
  Compare 7 and 16
  No swap needed
  Compare 16 and -55
  Swap 16 and -55
  List after swap: [-80, -19, -12, 7, -55, 16, 56, 60, 75, 98]

Pass 6:
  Compare -80 and -19
  No swap needed
  Compare -19 and -12
  No swap needed
  Compare -12 and 7
  No swap needed
  Compare 7 and -55
  Swap 7 and -55
  List after swap: [-80, -19, -12, -55, 7, 16, 56, 60, 75, 98]

Pass 7:
  Compare -80 and -19
  No swap needed
  Compare -19 and -12
  No swap needed
  Compare -12 and -55
  Swap -12 and -55
  List after swap: [-80, -19, -55, -12, 7, 16, 56, 60, 75, 98]

Pass 8:
  Compare -80 and -19
  No swap needed
  Compare -19 and -55
  Swap -19 and -55
  List after swap: [-80, -55, -19, -12, 7, 16, 56, 60, 75, 98]

Pass 9:
  Compare -80 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -55, -19, -12, 7, 16, 56, 60, 75, 98]
</think>

<response>-80, -55, -19, -12, 7, 16, 56, 60, 75, 98</response>


input: Perform a bubble sort on the integers 98, -36, 90, 86, 45, -7, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [98, -36, 90, 86, 45, -7]

Pass 1:
  Compare 98 and -36
  Swap 98 and -36
  List after swap: [-36, 98, 90, 86, 45, -7]
  Compare 98 and 90
  Swap 98 and 90
  List after swap: [-36, 90, 98, 86, 45, -7]
  Compare 98 and 86
  Swap 98 and 86
  List after swap: [-36, 90, 86, 98, 45, -7]
  Compare 98 and 45
  Swap 98 and 45
  List after swap: [-36, 90, 86, 45, 98, -7]
  Compare 98 and -7
  Swap 98 and -7
  List after swap: [-36, 90, 86, 45, -7, 98]

Pass 2:
  Compare -36 and 90
  No swap needed
  Compare 90 and 86
  Swap 90 and 86
  List after swap: [-36, 86, 90, 45, -7, 98]
  Compare 90 and 45
  Swap 90 and 45
  List after swap: [-36, 86, 45, 90, -7, 98]
  Compare 90 and -7
  Swap 90 and -7
  List after swap: [-36, 86, 45, -7, 90, 98]

Pass 3:
  Compare -36 and 86
  No swap needed
  Compare 86 and 45
  Swap 86 and 45
  List after swap: [-36, 45, 86, -7, 90, 98]
  Compare 86 and -7
  Swap 86 and -7
  List after swap: [-36, 45, -7, 86, 90, 98]

Pass 4:
  Compare -36 and 45
  No swap needed
  Compare 45 and -7
  Swap 45 and -7
  List after swap: [-36, -7, 45, 86, 90, 98]

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

Final sorted list: [-36, -7, 45, 86, 90, 98]
</think>

<response>-36, -7, 45, 86, 90, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -46, 2, 22, 79, 39, 48, 67, 26, 81.

output:
<think>
Initial list: [-46, 2, 22, 79, 39, 48, 67, 26, 81]

Pass 1:
  Compare -46 and 2
  No swap needed
  Compare 2 and 22
  No swap needed
  Compare 22 and 79
  No swap needed
  Compare 79 and 39
  Swap 79 and 39
  List after swap: [-46, 2, 22, 39, 79, 48, 67, 26, 81]
  Compare 79 and 48
  Swap 79 and 48
  List after swap: [-46, 2, 22, 39, 48, 79, 67, 26, 81]
  Compare 79 and 67
  Swap 79 and 67
  List after swap: [-46, 2, 22, 39, 48, 67, 79, 26, 81]
  Compare 79 and 26
  Swap 79 and 26
  List after swap: [-46, 2, 22, 39, 48, 67, 26, 79, 81]
  Compare 79 and 81
  No swap needed

Pass 2:
  Compare -46 and 2
  No swap needed
  Compare 2 and 22
  No swap needed
  Compare 22 and 39
  No swap needed
  Compare 39 and 48
  No swap needed
  Compare 48 and 67
  No swap needed
  Compare 67 and 26
  Swap 67 and 26
  List after swap: [-46, 2, 22, 39, 48, 26, 67, 79, 81]
  Compare 67 and 79
  No swap needed

Pass 3:
  Compare -46 and 2
  No swap needed
  Compare 2 and 22
  No swap needed
  Compare 22 and 39
  No swap needed
  Compare 39 and 48
  No swap needed
  Compare 48 and 26
  Swap 48 and 26
  List after swap: [-46, 2, 22, 39, 26, 48, 67, 79, 81]
  Compare 48 and 67
  No swap needed

Pass 4:
  Compare -46 and 2
  No swap needed
  Compare 2 and 22
  No swap needed
  Compare 22 and 39
  No swap needed
  Compare 39 and 26
  Swap 39 and 26
  List after swap: [-46, 2, 22, 26, 39, 48, 67, 79, 81]
  Compare 39 and 48
  No swap needed

Pass 5:
  Compare -46 and 2
  No swap needed
  Compare 2 and 22
  No swap needed
  Compare 22 and 26
  No swap needed
  Compare 26 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, 2, 22, 26, 39, 48, 67, 79, 81]
</think>

<response>-46, 2, 22, 26, 39, 48, 67, 79, 81</response>


input: Perform a bubble sort on the integers -56, -47, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-56, -47]

Pass 1:
  Compare -56 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -47]
</think>

<response>-56, -47</response>


input: Perform a bubble sort on the integers -87, -79, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-87, -79]

Pass 1:
  Compare -87 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -79]
</think>

<response>-87, -79</response>


input: Demonstrate how bubble sort orders the integers 20, -5, -65, 61, 93, 66, -19 in ascending sequence, showing all steps.

output:
<think>
Initial list: [20, -5, -65, 61, 93, 66, -19]

Pass 1:
  Compare 20 and -5
  Swap 20 and -5
  List after swap: [-5, 20, -65, 61, 93, 66, -19]
  Compare 20 and -65
  Swap 20 and -65
  List after swap: [-5, -65, 20, 61, 93, 66, -19]
  Compare 20 and 61
  No swap needed
  Compare 61 and 93
  No swap needed
  Compare 93 and 66
  Swap 93 and 66
  List after swap: [-5, -65, 20, 61, 66, 93, -19]
  Compare 93 and -19
  Swap 93 and -19
  List after swap: [-5, -65, 20, 61, 66, -19, 93]

Pass 2:
  Compare -5 and -65
  Swap -5 and -65
  List after swap: [-65, -5, 20, 61, 66, -19, 93]
  Compare -5 and 20
  No swap needed
  Compare 20 and 61
  No swap needed
  Compare 61 and 66
  No swap needed
  Compare 66 and -19
  Swap 66 and -19
  List after swap: [-65, -5, 20, 61, -19, 66, 93]

Pass 3:
  Compare -65 and -5
  No swap needed
  Compare -5 and 20
  No swap needed
  Compare 20 and 61
  No swap needed
  Compare 61 and -19
  Swap 61 and -19
  List after swap: [-65, -5, 20, -19, 61, 66, 93]

Pass 4:
  Compare -65 and -5
  No swap needed
  Compare -5 and 20
  No swap needed
  Compare 20 and -19
  Swap 20 and -19
  List after swap: [-65, -5, -19, 20, 61, 66, 93]

Pass 5:
  Compare -65 and -5
  No swap needed
  Compare -5 and -19
  Swap -5 and -19
  List after swap: [-65, -19, -5, 20, 61, 66, 93]

Pass 6:
  Compare -65 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -19, -5, 20, 61, 66, 93]
</think>

<response>-65, -19, -5, 20, 61, 66, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -24, 90, -22, -76, -82, 8, -59, -33, -29.

output:
<think>
Initial list: [-24, 90, -22, -76, -82, 8, -59, -33, -29]

Pass 1:
  Compare -24 and 90
  No swap needed
  Compare 90 and -22
  Swap 90 and -22
  List after swap: [-24, -22, 90, -76, -82, 8, -59, -33, -29]
  Compare 90 and -76
  Swap 90 and -76
  List after swap: [-24, -22, -76, 90, -82, 8, -59, -33, -29]
  Compare 90 and -82
  Swap 90 and -82
  List after swap: [-24, -22, -76, -82, 90, 8, -59, -33, -29]
  Compare 90 and 8
  Swap 90 and 8
  List after swap: [-24, -22, -76, -82, 8, 90, -59, -33, -29]
  Compare 90 and -59
  Swap 90 and -59
  List after swap: [-24, -22, -76, -82, 8, -59, 90, -33, -29]
  Compare 90 and -33
  Swap 90 and -33
  List after swap: [-24, -22, -76, -82, 8, -59, -33, 90, -29]
  Compare 90 and -29
  Swap 90 and -29
  List after swap: [-24, -22, -76, -82, 8, -59, -33, -29, 90]

Pass 2:
  Compare -24 and -22
  No swap needed
  Compare -22 and -76
  Swap -22 and -76
  List after swap: [-24, -76, -22, -82, 8, -59, -33, -29, 90]
  Compare -22 and -82
  Swap -22 and -82
  List after swap: [-24, -76, -82, -22, 8, -59, -33, -29, 90]
  Compare -22 and 8
  No swap needed
  Compare 8 and -59
  Swap 8 and -59
  List after swap: [-24, -76, -82, -22, -59, 8, -33, -29, 90]
  Compare 8 and -33
  Swap 8 and -33
  List after swap: [-24, -76, -82, -22, -59, -33, 8, -29, 90]
  Compare 8 and -29
  Swap 8 and -29
  List after swap: [-24, -76, -82, -22, -59, -33, -29, 8, 90]

Pass 3:
  Compare -24 and -76
  Swap -24 and -76
  List after swap: [-76, -24, -82, -22, -59, -33, -29, 8, 90]
  Compare -24 and -82
  Swap -24 and -82
  List after swap: [-76, -82, -24, -22, -59, -33, -29, 8, 90]
  Compare -24 and -22
  No swap needed
  Compare -22 and -59
  Swap -22 and -59
  List after swap: [-76, -82, -24, -59, -22, -33, -29, 8, 90]
  Compare -22 and -33
  Swap -22 and -33
  List after swap: [-76, -82, -24, -59, -33, -22, -29, 8, 90]
  Compare -22 and -29
  Swap -22 and -29
  List after swap: [-76, -82, -24, -59, -33, -29, -22, 8, 90]

Pass 4:
  Compare -76 and -82
  Swap -76 and -82
  List after swap: [-82, -76, -24, -59, -33, -29, -22, 8, 90]
  Compare -76 and -24
  No swap needed
  Compare -24 and -59
  Swap -24 and -59
  List after swap: [-82, -76, -59, -24, -33, -29, -22, 8, 90]
  Compare -24 and -33
  Swap -24 and -33
  List after swap: [-82, -76, -59, -33, -24, -29, -22, 8, 90]
  Compare -24 and -29
  Swap -24 and -29
  List after swap: [-82, -76, -59, -33, -29, -24, -22, 8, 90]

Pass 5:
  Compare -82 and -76
  No swap needed
  Compare -76 and -59
  No swap needed
  Compare -59 and -33
  No swap needed
  Compare -33 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -76, -59, -33, -29, -24, -22, 8, 90]
</think>

<response>-82, -76, -59, -33, -29, -24, -22, 8, 90</response>


input: Using the bubble sort method, sort -90, -20, 98 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-90, -20, 98]

Pass 1:
  Compare -90 and -20
  No swap needed
  Compare -20 and 98
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -20, 98]
</think>

<response>-90, -20, 98</response>


input: Sort the list 99, 22, -19, -4, -48, -61 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [99, 22, -19, -4, -48, -61]

Pass 1:
  Compare 99 and 22
  Swap 99 and 22
  List after swap: [22, 99, -19, -4, -48, -61]
  Compare 99 and -19
  Swap 99 and -19
  List after swap: [22, -19, 99, -4, -48, -61]
  Compare 99 and -4
  Swap 99 and -4
  List after swap: [22, -19, -4, 99, -48, -61]
  Compare 99 and -48
  Swap 99 and -48
  List after swap: [22, -19, -4, -48, 99, -61]
  Compare 99 and -61
  Swap 99 and -61
  List after swap: [22, -19, -4, -48, -61, 99]

Pass 2:
  Compare 22 and -19
  Swap 22 and -19
  List after swap: [-19, 22, -4, -48, -61, 99]
  Compare 22 and -4
  Swap 22 and -4
  List after swap: [-19, -4, 22, -48, -61, 99]
  Compare 22 and -48
  Swap 22 and -48
  List after swap: [-19, -4, -48, 22, -61, 99]
  Compare 22 and -61
  Swap 22 and -61
  List after swap: [-19, -4, -48, -61, 22, 99]

Pass 3:
  Compare -19 and -4
  No swap needed
  Compare -4 and -48
  Swap -4 and -48
  List after swap: [-19, -48, -4, -61, 22, 99]
  Compare -4 and -61
  Swap -4 and -61
  List after swap: [-19, -48, -61, -4, 22, 99]

Pass 4:
  Compare -19 and -48
  Swap -19 and -48
  List after swap: [-48, -19, -61, -4, 22, 99]
  Compare -19 and -61
  Swap -19 and -61
  List after swap: [-48, -61, -19, -4, 22, 99]

Pass 5:
  Compare -48 and -61
  Swap -48 and -61
  List after swap: [-61, -48, -19, -4, 22, 99]

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

Final sorted list: [-61, -48, -19, -4, 22, 99]
</think>

<response>-61, -48, -19, -4, 22, 99</response>


input: Using the bubble sort method, sort -72, -65, -79, 92, 44, -50 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-72, -65, -79, 92, 44, -50]

Pass 1:
  Compare -72 and -65
  No swap needed
  Compare -65 and -79
  Swap -65 and -79
  List after swap: [-72, -79, -65, 92, 44, -50]
  Compare -65 and 92
  No swap needed
  Compare 92 and 44
  Swap 92 and 44
  List after swap: [-72, -79, -65, 44, 92, -50]
  Compare 92 and -50
  Swap 92 and -50
  List after swap: [-72, -79, -65, 44, -50, 92]

Pass 2:
  Compare -72 and -79
  Swap -72 and -79
  List after swap: [-79, -72, -65, 44, -50, 92]
  Compare -72 and -65
  No swap needed
  Compare -65 and 44
  No swap needed
  Compare 44 and -50
  Swap 44 and -50
  List after swap: [-79, -72, -65, -50, 44, 92]

Pass 3:
  Compare -79 and -72
  No swap needed
  Compare -72 and -65
  No swap needed
  Compare -65 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -72, -65, -50, 44, 92]
</think>

<response>-79, -72, -65, -50, 44, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 1, 2.

output:
<think>
Initial list: [1, 2]

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

Final sorted list: [1, 2]
</think>

<response>1, 2</response>


input: Implement bubble sort on 90, 42, 33, -93, 72, -51, 63 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [90, 42, 33, -93, 72, -51, 63]

Pass 1:
  Compare 90 and 42
  Swap 90 and 42
  List after swap: [42, 90, 33, -93, 72, -51, 63]
  Compare 90 and 33
  Swap 90 and 33
  List after swap: [42, 33, 90, -93, 72, -51, 63]
  Compare 90 and -93
  Swap 90 and -93
  List after swap: [42, 33, -93, 90, 72, -51, 63]
  Compare 90 and 72
  Swap 90 and 72
  List after swap: [42, 33, -93, 72, 90, -51, 63]
  Compare 90 and -51
  Swap 90 and -51
  List after swap: [42, 33, -93, 72, -51, 90, 63]
  Compare 90 and 63
  Swap 90 and 63
  List after swap: [42, 33, -93, 72, -51, 63, 90]

Pass 2:
  Compare 42 and 33
  Swap 42 and 33
  List after swap: [33, 42, -93, 72, -51, 63, 90]
  Compare 42 and -93
  Swap 42 and -93
  List after swap: [33, -93, 42, 72, -51, 63, 90]
  Compare 42 and 72
  No swap needed
  Compare 72 and -51
  Swap 72 and -51
  List after swap: [33, -93, 42, -51, 72, 63, 90]
  Compare 72 and 63
  Swap 72 and 63
  List after swap: [33, -93, 42, -51, 63, 72, 90]

Pass 3:
  Compare 33 and -93
  Swap 33 and -93
  List after swap: [-93, 33, 42, -51, 63, 72, 90]
  Compare 33 and 42
  No swap needed
  Compare 42 and -51
  Swap 42 and -51
  List after swap: [-93, 33, -51, 42, 63, 72, 90]
  Compare 42 and 63
  No swap needed

Pass 4:
  Compare -93 and 33
  No swap needed
  Compare 33 and -51
  Swap 33 and -51
  List after swap: [-93, -51, 33, 42, 63, 72, 90]
  Compare 33 and 42
  No swap needed

Pass 5:
  Compare -93 and -51
  No swap needed
  Compare -51 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -51, 33, 42, 63, 72, 90]
</think>

<response>-93, -51, 33, 42, 63, 72, 90</response>


input: Demonstrate how bubble sort orders the integers 15, 32 in ascending sequence, showing all steps.

output:
<think>
Initial list: [15, 32]

Pass 1:
  Compare 15 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [15, 32]
</think>

<response>15, 32</response>