input: Demonstrate how bubble sort orders the integers 78, 65, -57, 71, 13, 56, -25, -86, -63, -62 in ascending sequence, showing all steps.

output:
<think>
Initial list: [78, 65, -57, 71, 13, 56, -25, -86, -63, -62]

Pass 1:
  Compare 78 and 65
  Swap 78 and 65
  List after swap: [65, 78, -57, 71, 13, 56, -25, -86, -63, -62]
  Compare 78 and -57
  Swap 78 and -57
  List after swap: [65, -57, 78, 71, 13, 56, -25, -86, -63, -62]
  Compare 78 and 71
  Swap 78 and 71
  List after swap: [65, -57, 71, 78, 13, 56, -25, -86, -63, -62]
  Compare 78 and 13
  Swap 78 and 13
  List after swap: [65, -57, 71, 13, 78, 56, -25, -86, -63, -62]
  Compare 78 and 56
  Swap 78 and 56
  List after swap: [65, -57, 71, 13, 56, 78, -25, -86, -63, -62]
  Compare 78 and -25
  Swap 78 and -25
  List after swap: [65, -57, 71, 13, 56, -25, 78, -86, -63, -62]
  Compare 78 and -86
  Swap 78 and -86
  List after swap: [65, -57, 71, 13, 56, -25, -86, 78, -63, -62]
  Compare 78 and -63
  Swap 78 and -63
  List after swap: [65, -57, 71, 13, 56, -25, -86, -63, 78, -62]
  Compare 78 and -62
  Swap 78 and -62
  List after swap: [65, -57, 71, 13, 56, -25, -86, -63, -62, 78]

Pass 2:
  Compare 65 and -57
  Swap 65 and -57
  List after swap: [-57, 65, 71, 13, 56, -25, -86, -63, -62, 78]
  Compare 65 and 71
  No swap needed
  Compare 71 and 13
  Swap 71 and 13
  List after swap: [-57, 65, 13, 71, 56, -25, -86, -63, -62, 78]
  Compare 71 and 56
  Swap 71 and 56
  List after swap: [-57, 65, 13, 56, 71, -25, -86, -63, -62, 78]
  Compare 71 and -25
  Swap 71 and -25
  List after swap: [-57, 65, 13, 56, -25, 71, -86, -63, -62, 78]
  Compare 71 and -86
  Swap 71 and -86
  List after swap: [-57, 65, 13, 56, -25, -86, 71, -63, -62, 78]
  Compare 71 and -63
  Swap 71 and -63
  List after swap: [-57, 65, 13, 56, -25, -86, -63, 71, -62, 78]
  Compare 71 and -62
  Swap 71 and -62
  List after swap: [-57, 65, 13, 56, -25, -86, -63, -62, 71, 78]

Pass 3:
  Compare -57 and 65
  No swap needed
  Compare 65 and 13
  Swap 65 and 13
  List after swap: [-57, 13, 65, 56, -25, -86, -63, -62, 71, 78]
  Compare 65 and 56
  Swap 65 and 56
  List after swap: [-57, 13, 56, 65, -25, -86, -63, -62, 71, 78]
  Compare 65 and -25
  Swap 65 and -25
  List after swap: [-57, 13, 56, -25, 65, -86, -63, -62, 71, 78]
  Compare 65 and -86
  Swap 65 and -86
  List after swap: [-57, 13, 56, -25, -86, 65, -63, -62, 71, 78]
  Compare 65 and -63
  Swap 65 and -63
  List after swap: [-57, 13, 56, -25, -86, -63, 65, -62, 71, 78]
  Compare 65 and -62
  Swap 65 and -62
  List after swap: [-57, 13, 56, -25, -86, -63, -62, 65, 71, 78]

Pass 4:
  Compare -57 and 13
  No swap needed
  Compare 13 and 56
  No swap needed
  Compare 56 and -25
  Swap 56 and -25
  List after swap: [-57, 13, -25, 56, -86, -63, -62, 65, 71, 78]
  Compare 56 and -86
  Swap 56 and -86
  List after swap: [-57, 13, -25, -86, 56, -63, -62, 65, 71, 78]
  Compare 56 and -63
  Swap 56 and -63
  List after swap: [-57, 13, -25, -86, -63, 56, -62, 65, 71, 78]
  Compare 56 and -62
  Swap 56 and -62
  List after swap: [-57, 13, -25, -86, -63, -62, 56, 65, 71, 78]

Pass 5:
  Compare -57 and 13
  No swap needed
  Compare 13 and -25
  Swap 13 and -25
  List after swap: [-57, -25, 13, -86, -63, -62, 56, 65, 71, 78]
  Compare 13 and -86
  Swap 13 and -86
  List after swap: [-57, -25, -86, 13, -63, -62, 56, 65, 71, 78]
  Compare 13 and -63
  Swap 13 and -63
  List after swap: [-57, -25, -86, -63, 13, -62, 56, 65, 71, 78]
  Compare 13 and -62
  Swap 13 and -62
  List after swap: [-57, -25, -86, -63, -62, 13, 56, 65, 71, 78]

Pass 6:
  Compare -57 and -25
  No swap needed
  Compare -25 and -86
  Swap -25 and -86
  List after swap: [-57, -86, -25, -63, -62, 13, 56, 65, 71, 78]
  Compare -25 and -63
  Swap -25 and -63
  List after swap: [-57, -86, -63, -25, -62, 13, 56, 65, 71, 78]
  Compare -25 and -62
  Swap -25 and -62
  List after swap: [-57, -86, -63, -62, -25, 13, 56, 65, 71, 78]

Pass 7:
  Compare -57 and -86
  Swap -57 and -86
  List after swap: [-86, -57, -63, -62, -25, 13, 56, 65, 71, 78]
  Compare -57 and -63
  Swap -57 and -63
  List after swap: [-86, -63, -57, -62, -25, 13, 56, 65, 71, 78]
  Compare -57 and -62
  Swap -57 and -62
  List after swap: [-86, -63, -62, -57, -25, 13, 56, 65, 71, 78]

Pass 8:
  Compare -86 and -63
  No swap needed
  Compare -63 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -63, -62, -57, -25, 13, 56, 65, 71, 78]
</think>

<response>-86, -63, -62, -57, -25, 13, 56, 65, 71, 78</response>


input: Using the bubble sort method, sort -64, -27, 69, 79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-64, -27, 69, 79]

Pass 1:
  Compare -64 and -27
  No swap needed
  Compare -27 and 69
  No swap needed
  Compare 69 and 79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -27, 69, 79]
</think>

<response>-64, -27, 69, 79</response>


input: Carry out the bubble sort algorithm on -18, -25, -93, 4, 40, 78, 72 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-18, -25, -93, 4, 40, 78, 72]

Pass 1:
  Compare -18 and -25
  Swap -18 and -25
  List after swap: [-25, -18, -93, 4, 40, 78, 72]
  Compare -18 and -93
  Swap -18 and -93
  List after swap: [-25, -93, -18, 4, 40, 78, 72]
  Compare -18 and 4
  No swap needed
  Compare 4 and 40
  No swap needed
  Compare 40 and 78
  No swap needed
  Compare 78 and 72
  Swap 78 and 72
  List after swap: [-25, -93, -18, 4, 40, 72, 78]

Pass 2:
  Compare -25 and -93
  Swap -25 and -93
  List after swap: [-93, -25, -18, 4, 40, 72, 78]
  Compare -25 and -18
  No swap needed
  Compare -18 and 4
  No swap needed
  Compare 4 and 40
  No swap needed
  Compare 40 and 72
  No swap needed

Pass 3:
  Compare -93 and -25
  No swap needed
  Compare -25 and -18
  No swap needed
  Compare -18 and 4
  No swap needed
  Compare 4 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -25, -18, 4, 40, 72, 78]
</think>

<response>-93, -25, -18, 4, 40, 72, 78</response>


input: Using the bubble sort method, sort -29, -86, -51, -27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-29, -86, -51, -27]

Pass 1:
  Compare -29 and -86
  Swap -29 and -86
  List after swap: [-86, -29, -51, -27]
  Compare -29 and -51
  Swap -29 and -51
  List after swap: [-86, -51, -29, -27]
  Compare -29 and -27
  No swap needed

Pass 2:
  Compare -86 and -51
  No swap needed
  Compare -51 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -51, -29, -27]
</think>

<response>-86, -51, -29, -27</response>


input: Using the bubble sort method, sort -31, -47, -18, 80, 89, 63, -55, -21, 77 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-31, -47, -18, 80, 89, 63, -55, -21, 77]

Pass 1:
  Compare -31 and -47
  Swap -31 and -47
  List after swap: [-47, -31, -18, 80, 89, 63, -55, -21, 77]
  Compare -31 and -18
  No swap needed
  Compare -18 and 80
  No swap needed
  Compare 80 and 89
  No swap needed
  Compare 89 and 63
  Swap 89 and 63
  List after swap: [-47, -31, -18, 80, 63, 89, -55, -21, 77]
  Compare 89 and -55
  Swap 89 and -55
  List after swap: [-47, -31, -18, 80, 63, -55, 89, -21, 77]
  Compare 89 and -21
  Swap 89 and -21
  List after swap: [-47, -31, -18, 80, 63, -55, -21, 89, 77]
  Compare 89 and 77
  Swap 89 and 77
  List after swap: [-47, -31, -18, 80, 63, -55, -21, 77, 89]

Pass 2:
  Compare -47 and -31
  No swap needed
  Compare -31 and -18
  No swap needed
  Compare -18 and 80
  No swap needed
  Compare 80 and 63
  Swap 80 and 63
  List after swap: [-47, -31, -18, 63, 80, -55, -21, 77, 89]
  Compare 80 and -55
  Swap 80 and -55
  List after swap: [-47, -31, -18, 63, -55, 80, -21, 77, 89]
  Compare 80 and -21
  Swap 80 and -21
  List after swap: [-47, -31, -18, 63, -55, -21, 80, 77, 89]
  Compare 80 and 77
  Swap 80 and 77
  List after swap: [-47, -31, -18, 63, -55, -21, 77, 80, 89]

Pass 3:
  Compare -47 and -31
  No swap needed
  Compare -31 and -18
  No swap needed
  Compare -18 and 63
  No swap needed
  Compare 63 and -55
  Swap 63 and -55
  List after swap: [-47, -31, -18, -55, 63, -21, 77, 80, 89]
  Compare 63 and -21
  Swap 63 and -21
  List after swap: [-47, -31, -18, -55, -21, 63, 77, 80, 89]
  Compare 63 and 77
  No swap needed

Pass 4:
  Compare -47 and -31
  No swap needed
  Compare -31 and -18
  No swap needed
  Compare -18 and -55
  Swap -18 and -55
  List after swap: [-47, -31, -55, -18, -21, 63, 77, 80, 89]
  Compare -18 and -21
  Swap -18 and -21
  List after swap: [-47, -31, -55, -21, -18, 63, 77, 80, 89]
  Compare -18 and 63
  No swap needed

Pass 5:
  Compare -47 and -31
  No swap needed
  Compare -31 and -55
  Swap -31 and -55
  List after swap: [-47, -55, -31, -21, -18, 63, 77, 80, 89]
  Compare -31 and -21
  No swap needed
  Compare -21 and -18
  No swap needed

Pass 6:
  Compare -47 and -55
  Swap -47 and -55
  List after swap: [-55, -47, -31, -21, -18, 63, 77, 80, 89]
  Compare -47 and -31
  No swap needed
  Compare -31 and -21
  No swap needed

Pass 7:
  Compare -55 and -47
  No swap needed
  Compare -47 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -47, -31, -21, -18, 63, 77, 80, 89]
</think>

<response>-55, -47, -31, -21, -18, 63, 77, 80, 89</response>


input: Demonstrate how bubble sort orders the integers -5, -32, -6, 90 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-5, -32, -6, 90]

Pass 1:
  Compare -5 and -32
  Swap -5 and -32
  List after swap: [-32, -5, -6, 90]
  Compare -5 and -6
  Swap -5 and -6
  List after swap: [-32, -6, -5, 90]
  Compare -5 and 90
  No swap needed

Pass 2:
  Compare -32 and -6
  No swap needed
  Compare -6 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -6, -5, 90]
</think>

<response>-32, -6, -5, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 68, 49, 8.

output:
<think>
Initial list: [68, 49, 8]

Pass 1:
  Compare 68 and 49
  Swap 68 and 49
  List after swap: [49, 68, 8]
  Compare 68 and 8
  Swap 68 and 8
  List after swap: [49, 8, 68]

Pass 2:
  Compare 49 and 8
  Swap 49 and 8
  List after swap: [8, 49, 68]

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

Final sorted list: [8, 49, 68]
</think>

<response>8, 49, 68</response>


input: Arrange the numbers -1, 97, -69, 27, 77 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-1, 97, -69, 27, 77]

Pass 1:
  Compare -1 and 97
  No swap needed
  Compare 97 and -69
  Swap 97 and -69
  List after swap: [-1, -69, 97, 27, 77]
  Compare 97 and 27
  Swap 97 and 27
  List after swap: [-1, -69, 27, 97, 77]
  Compare 97 and 77
  Swap 97 and 77
  List after swap: [-1, -69, 27, 77, 97]

Pass 2:
  Compare -1 and -69
  Swap -1 and -69
  List after swap: [-69, -1, 27, 77, 97]
  Compare -1 and 27
  No swap needed
  Compare 27 and 77
  No swap needed

Pass 3:
  Compare -69 and -1
  No swap needed
  Compare -1 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -1, 27, 77, 97]
</think>

<response>-69, -1, 27, 77, 97</response>


input: Sort the list -53, -54, -69, 0, 83, 40, -32, -14, 92, -99 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-53, -54, -69, 0, 83, 40, -32, -14, 92, -99]

Pass 1:
  Compare -53 and -54
  Swap -53 and -54
  List after swap: [-54, -53, -69, 0, 83, 40, -32, -14, 92, -99]
  Compare -53 and -69
  Swap -53 and -69
  List after swap: [-54, -69, -53, 0, 83, 40, -32, -14, 92, -99]
  Compare -53 and 0
  No swap needed
  Compare 0 and 83
  No swap needed
  Compare 83 and 40
  Swap 83 and 40
  List after swap: [-54, -69, -53, 0, 40, 83, -32, -14, 92, -99]
  Compare 83 and -32
  Swap 83 and -32
  List after swap: [-54, -69, -53, 0, 40, -32, 83, -14, 92, -99]
  Compare 83 and -14
  Swap 83 and -14
  List after swap: [-54, -69, -53, 0, 40, -32, -14, 83, 92, -99]
  Compare 83 and 92
  No swap needed
  Compare 92 and -99
  Swap 92 and -99
  List after swap: [-54, -69, -53, 0, 40, -32, -14, 83, -99, 92]

Pass 2:
  Compare -54 and -69
  Swap -54 and -69
  List after swap: [-69, -54, -53, 0, 40, -32, -14, 83, -99, 92]
  Compare -54 and -53
  No swap needed
  Compare -53 and 0
  No swap needed
  Compare 0 and 40
  No swap needed
  Compare 40 and -32
  Swap 40 and -32
  List after swap: [-69, -54, -53, 0, -32, 40, -14, 83, -99, 92]
  Compare 40 and -14
  Swap 40 and -14
  List after swap: [-69, -54, -53, 0, -32, -14, 40, 83, -99, 92]
  Compare 40 and 83
  No swap needed
  Compare 83 and -99
  Swap 83 and -99
  List after swap: [-69, -54, -53, 0, -32, -14, 40, -99, 83, 92]

Pass 3:
  Compare -69 and -54
  No swap needed
  Compare -54 and -53
  No swap needed
  Compare -53 and 0
  No swap needed
  Compare 0 and -32
  Swap 0 and -32
  List after swap: [-69, -54, -53, -32, 0, -14, 40, -99, 83, 92]
  Compare 0 and -14
  Swap 0 and -14
  List after swap: [-69, -54, -53, -32, -14, 0, 40, -99, 83, 92]
  Compare 0 and 40
  No swap needed
  Compare 40 and -99
  Swap 40 and -99
  List after swap: [-69, -54, -53, -32, -14, 0, -99, 40, 83, 92]

Pass 4:
  Compare -69 and -54
  No swap needed
  Compare -54 and -53
  No swap needed
  Compare -53 and -32
  No swap needed
  Compare -32 and -14
  No swap needed
  Compare -14 and 0
  No swap needed
  Compare 0 and -99
  Swap 0 and -99
  List after swap: [-69, -54, -53, -32, -14, -99, 0, 40, 83, 92]

Pass 5:
  Compare -69 and -54
  No swap needed
  Compare -54 and -53
  No swap needed
  Compare -53 and -32
  No swap needed
  Compare -32 and -14
  No swap needed
  Compare -14 and -99
  Swap -14 and -99
  List after swap: [-69, -54, -53, -32, -99, -14, 0, 40, 83, 92]

Pass 6:
  Compare -69 and -54
  No swap needed
  Compare -54 and -53
  No swap needed
  Compare -53 and -32
  No swap needed
  Compare -32 and -99
  Swap -32 and -99
  List after swap: [-69, -54, -53, -99, -32, -14, 0, 40, 83, 92]

Pass 7:
  Compare -69 and -54
  No swap needed
  Compare -54 and -53
  No swap needed
  Compare -53 and -99
  Swap -53 and -99
  List after swap: [-69, -54, -99, -53, -32, -14, 0, 40, 83, 92]

Pass 8:
  Compare -69 and -54
  No swap needed
  Compare -54 and -99
  Swap -54 and -99
  List after swap: [-69, -99, -54, -53, -32, -14, 0, 40, 83, 92]

Pass 9:
  Compare -69 and -99
  Swap -69 and -99
  List after swap: [-99, -69, -54, -53, -32, -14, 0, 40, 83, 92]

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

Final sorted list: [-99, -69, -54, -53, -32, -14, 0, 40, 83, 92]
</think>

<response>-99, -69, -54, -53, -32, -14, 0, 40, 83, 92</response>


input: Arrange the numbers -15, 44, -5, -12, -21 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-15, 44, -5, -12, -21]

Pass 1:
  Compare -15 and 44
  No swap needed
  Compare 44 and -5
  Swap 44 and -5
  List after swap: [-15, -5, 44, -12, -21]
  Compare 44 and -12
  Swap 44 and -12
  List after swap: [-15, -5, -12, 44, -21]
  Compare 44 and -21
  Swap 44 and -21
  List after swap: [-15, -5, -12, -21, 44]

Pass 2:
  Compare -15 and -5
  No swap needed
  Compare -5 and -12
  Swap -5 and -12
  List after swap: [-15, -12, -5, -21, 44]
  Compare -5 and -21
  Swap -5 and -21
  List after swap: [-15, -12, -21, -5, 44]

Pass 3:
  Compare -15 and -12
  No swap needed
  Compare -12 and -21
  Swap -12 and -21
  List after swap: [-15, -21, -12, -5, 44]

Pass 4:
  Compare -15 and -21
  Swap -15 and -21
  List after swap: [-21, -15, -12, -5, 44]

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

Final sorted list: [-21, -15, -12, -5, 44]
</think>

<response>-21, -15, -12, -5, 44</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -48, -93, 55, -41, -78, -6, -20, 38, 76, 75.

output:
<think>
Initial list: [-48, -93, 55, -41, -78, -6, -20, 38, 76, 75]

Pass 1:
  Compare -48 and -93
  Swap -48 and -93
  List after swap: [-93, -48, 55, -41, -78, -6, -20, 38, 76, 75]
  Compare -48 and 55
  No swap needed
  Compare 55 and -41
  Swap 55 and -41
  List after swap: [-93, -48, -41, 55, -78, -6, -20, 38, 76, 75]
  Compare 55 and -78
  Swap 55 and -78
  List after swap: [-93, -48, -41, -78, 55, -6, -20, 38, 76, 75]
  Compare 55 and -6
  Swap 55 and -6
  List after swap: [-93, -48, -41, -78, -6, 55, -20, 38, 76, 75]
  Compare 55 and -20
  Swap 55 and -20
  List after swap: [-93, -48, -41, -78, -6, -20, 55, 38, 76, 75]
  Compare 55 and 38
  Swap 55 and 38
  List after swap: [-93, -48, -41, -78, -6, -20, 38, 55, 76, 75]
  Compare 55 and 76
  No swap needed
  Compare 76 and 75
  Swap 76 and 75
  List after swap: [-93, -48, -41, -78, -6, -20, 38, 55, 75, 76]

Pass 2:
  Compare -93 and -48
  No swap needed
  Compare -48 and -41
  No swap needed
  Compare -41 and -78
  Swap -41 and -78
  List after swap: [-93, -48, -78, -41, -6, -20, 38, 55, 75, 76]
  Compare -41 and -6
  No swap needed
  Compare -6 and -20
  Swap -6 and -20
  List after swap: [-93, -48, -78, -41, -20, -6, 38, 55, 75, 76]
  Compare -6 and 38
  No swap needed
  Compare 38 and 55
  No swap needed
  Compare 55 and 75
  No swap needed

Pass 3:
  Compare -93 and -48
  No swap needed
  Compare -48 and -78
  Swap -48 and -78
  List after swap: [-93, -78, -48, -41, -20, -6, 38, 55, 75, 76]
  Compare -48 and -41
  No swap needed
  Compare -41 and -20
  No swap needed
  Compare -20 and -6
  No swap needed
  Compare -6 and 38
  No swap needed
  Compare 38 and 55
  No swap needed

Pass 4:
  Compare -93 and -78
  No swap needed
  Compare -78 and -48
  No swap needed
  Compare -48 and -41
  No swap needed
  Compare -41 and -20
  No swap needed
  Compare -20 and -6
  No swap needed
  Compare -6 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -78, -48, -41, -20, -6, 38, 55, 75, 76]
</think>

<response>-93, -78, -48, -41, -20, -6, 38, 55, 75, 76</response>


input: Execute bubble sort to sort 33, -6, 53, 93, -66, -21, -38 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [33, -6, 53, 93, -66, -21, -38]

Pass 1:
  Compare 33 and -6
  Swap 33 and -6
  List after swap: [-6, 33, 53, 93, -66, -21, -38]
  Compare 33 and 53
  No swap needed
  Compare 53 and 93
  No swap needed
  Compare 93 and -66
  Swap 93 and -66
  List after swap: [-6, 33, 53, -66, 93, -21, -38]
  Compare 93 and -21
  Swap 93 and -21
  List after swap: [-6, 33, 53, -66, -21, 93, -38]
  Compare 93 and -38
  Swap 93 and -38
  List after swap: [-6, 33, 53, -66, -21, -38, 93]

Pass 2:
  Compare -6 and 33
  No swap needed
  Compare 33 and 53
  No swap needed
  Compare 53 and -66
  Swap 53 and -66
  List after swap: [-6, 33, -66, 53, -21, -38, 93]
  Compare 53 and -21
  Swap 53 and -21
  List after swap: [-6, 33, -66, -21, 53, -38, 93]
  Compare 53 and -38
  Swap 53 and -38
  List after swap: [-6, 33, -66, -21, -38, 53, 93]

Pass 3:
  Compare -6 and 33
  No swap needed
  Compare 33 and -66
  Swap 33 and -66
  List after swap: [-6, -66, 33, -21, -38, 53, 93]
  Compare 33 and -21
  Swap 33 and -21
  List after swap: [-6, -66, -21, 33, -38, 53, 93]
  Compare 33 and -38
  Swap 33 and -38
  List after swap: [-6, -66, -21, -38, 33, 53, 93]

Pass 4:
  Compare -6 and -66
  Swap -6 and -66
  List after swap: [-66, -6, -21, -38, 33, 53, 93]
  Compare -6 and -21
  Swap -6 and -21
  List after swap: [-66, -21, -6, -38, 33, 53, 93]
  Compare -6 and -38
  Swap -6 and -38
  List after swap: [-66, -21, -38, -6, 33, 53, 93]

Pass 5:
  Compare -66 and -21
  No swap needed
  Compare -21 and -38
  Swap -21 and -38
  List after swap: [-66, -38, -21, -6, 33, 53, 93]

Pass 6:
  Compare -66 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -38, -21, -6, 33, 53, 93]
</think>

<response>-66, -38, -21, -6, 33, 53, 93</response>


input: Execute bubble sort to sort 67, 82, -34, -99 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [67, 82, -34, -99]

Pass 1:
  Compare 67 and 82
  No swap needed
  Compare 82 and -34
  Swap 82 and -34
  List after swap: [67, -34, 82, -99]
  Compare 82 and -99
  Swap 82 and -99
  List after swap: [67, -34, -99, 82]

Pass 2:
  Compare 67 and -34
  Swap 67 and -34
  List after swap: [-34, 67, -99, 82]
  Compare 67 and -99
  Swap 67 and -99
  List after swap: [-34, -99, 67, 82]

Pass 3:
  Compare -34 and -99
  Swap -34 and -99
  List after swap: [-99, -34, 67, 82]

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

Final sorted list: [-99, -34, 67, 82]
</think>

<response>-99, -34, 67, 82</response>


input: Sort the list -38, -65, 40, 63, 35 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-38, -65, 40, 63, 35]

Pass 1:
  Compare -38 and -65
  Swap -38 and -65
  List after swap: [-65, -38, 40, 63, 35]
  Compare -38 and 40
  No swap needed
  Compare 40 and 63
  No swap needed
  Compare 63 and 35
  Swap 63 and 35
  List after swap: [-65, -38, 40, 35, 63]

Pass 2:
  Compare -65 and -38
  No swap needed
  Compare -38 and 40
  No swap needed
  Compare 40 and 35
  Swap 40 and 35
  List after swap: [-65, -38, 35, 40, 63]

Pass 3:
  Compare -65 and -38
  No swap needed
  Compare -38 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -38, 35, 40, 63]
</think>

<response>-65, -38, 35, 40, 63</response>


input: Perform a bubble sort on the integers -54, -98, 39, -62, 0, -4, 85, 93, 66, 36, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-54, -98, 39, -62, 0, -4, 85, 93, 66, 36]

Pass 1:
  Compare -54 and -98
  Swap -54 and -98
  List after swap: [-98, -54, 39, -62, 0, -4, 85, 93, 66, 36]
  Compare -54 and 39
  No swap needed
  Compare 39 and -62
  Swap 39 and -62
  List after swap: [-98, -54, -62, 39, 0, -4, 85, 93, 66, 36]
  Compare 39 and 0
  Swap 39 and 0
  List after swap: [-98, -54, -62, 0, 39, -4, 85, 93, 66, 36]
  Compare 39 and -4
  Swap 39 and -4
  List after swap: [-98, -54, -62, 0, -4, 39, 85, 93, 66, 36]
  Compare 39 and 85
  No swap needed
  Compare 85 and 93
  No swap needed
  Compare 93 and 66
  Swap 93 and 66
  List after swap: [-98, -54, -62, 0, -4, 39, 85, 66, 93, 36]
  Compare 93 and 36
  Swap 93 and 36
  List after swap: [-98, -54, -62, 0, -4, 39, 85, 66, 36, 93]

Pass 2:
  Compare -98 and -54
  No swap needed
  Compare -54 and -62
  Swap -54 and -62
  List after swap: [-98, -62, -54, 0, -4, 39, 85, 66, 36, 93]
  Compare -54 and 0
  No swap needed
  Compare 0 and -4
  Swap 0 and -4
  List after swap: [-98, -62, -54, -4, 0, 39, 85, 66, 36, 93]
  Compare 0 and 39
  No swap needed
  Compare 39 and 85
  No swap needed
  Compare 85 and 66
  Swap 85 and 66
  List after swap: [-98, -62, -54, -4, 0, 39, 66, 85, 36, 93]
  Compare 85 and 36
  Swap 85 and 36
  List after swap: [-98, -62, -54, -4, 0, 39, 66, 36, 85, 93]

Pass 3:
  Compare -98 and -62
  No swap needed
  Compare -62 and -54
  No swap needed
  Compare -54 and -4
  No swap needed
  Compare -4 and 0
  No swap needed
  Compare 0 and 39
  No swap needed
  Compare 39 and 66
  No swap needed
  Compare 66 and 36
  Swap 66 and 36
  List after swap: [-98, -62, -54, -4, 0, 39, 36, 66, 85, 93]

Pass 4:
  Compare -98 and -62
  No swap needed
  Compare -62 and -54
  No swap needed
  Compare -54 and -4
  No swap needed
  Compare -4 and 0
  No swap needed
  Compare 0 and 39
  No swap needed
  Compare 39 and 36
  Swap 39 and 36
  List after swap: [-98, -62, -54, -4, 0, 36, 39, 66, 85, 93]

Pass 5:
  Compare -98 and -62
  No swap needed
  Compare -62 and -54
  No swap needed
  Compare -54 and -4
  No swap needed
  Compare -4 and 0
  No swap needed
  Compare 0 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -62, -54, -4, 0, 36, 39, 66, 85, 93]
</think>

<response>-98, -62, -54, -4, 0, 36, 39, 66, 85, 93</response>


input: Perform a bubble sort on the integers -53, 86, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-53, 86]

Pass 1:
  Compare -53 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, 86]
</think>

<response>-53, 86</response>


input: Execute bubble sort to sort -13, 81, -74, -34, -31, 31, 95, -88 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-13, 81, -74, -34, -31, 31, 95, -88]

Pass 1:
  Compare -13 and 81
  No swap needed
  Compare 81 and -74
  Swap 81 and -74
  List after swap: [-13, -74, 81, -34, -31, 31, 95, -88]
  Compare 81 and -34
  Swap 81 and -34
  List after swap: [-13, -74, -34, 81, -31, 31, 95, -88]
  Compare 81 and -31
  Swap 81 and -31
  List after swap: [-13, -74, -34, -31, 81, 31, 95, -88]
  Compare 81 and 31
  Swap 81 and 31
  List after swap: [-13, -74, -34, -31, 31, 81, 95, -88]
  Compare 81 and 95
  No swap needed
  Compare 95 and -88
  Swap 95 and -88
  List after swap: [-13, -74, -34, -31, 31, 81, -88, 95]

Pass 2:
  Compare -13 and -74
  Swap -13 and -74
  List after swap: [-74, -13, -34, -31, 31, 81, -88, 95]
  Compare -13 and -34
  Swap -13 and -34
  List after swap: [-74, -34, -13, -31, 31, 81, -88, 95]
  Compare -13 and -31
  Swap -13 and -31
  List after swap: [-74, -34, -31, -13, 31, 81, -88, 95]
  Compare -13 and 31
  No swap needed
  Compare 31 and 81
  No swap needed
  Compare 81 and -88
  Swap 81 and -88
  List after swap: [-74, -34, -31, -13, 31, -88, 81, 95]

Pass 3:
  Compare -74 and -34
  No swap needed
  Compare -34 and -31
  No swap needed
  Compare -31 and -13
  No swap needed
  Compare -13 and 31
  No swap needed
  Compare 31 and -88
  Swap 31 and -88
  List after swap: [-74, -34, -31, -13, -88, 31, 81, 95]

Pass 4:
  Compare -74 and -34
  No swap needed
  Compare -34 and -31
  No swap needed
  Compare -31 and -13
  No swap needed
  Compare -13 and -88
  Swap -13 and -88
  List after swap: [-74, -34, -31, -88, -13, 31, 81, 95]

Pass 5:
  Compare -74 and -34
  No swap needed
  Compare -34 and -31
  No swap needed
  Compare -31 and -88
  Swap -31 and -88
  List after swap: [-74, -34, -88, -31, -13, 31, 81, 95]

Pass 6:
  Compare -74 and -34
  No swap needed
  Compare -34 and -88
  Swap -34 and -88
  List after swap: [-74, -88, -34, -31, -13, 31, 81, 95]

Pass 7:
  Compare -74 and -88
  Swap -74 and -88
  List after swap: [-88, -74, -34, -31, -13, 31, 81, 95]

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

Final sorted list: [-88, -74, -34, -31, -13, 31, 81, 95]
</think>

<response>-88, -74, -34, -31, -13, 31, 81, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -82, -12, -14.

output:
<think>
Initial list: [-82, -12, -14]

Pass 1:
  Compare -82 and -12
  No swap needed
  Compare -12 and -14
  Swap -12 and -14
  List after swap: [-82, -14, -12]

Pass 2:
  Compare -82 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -14, -12]
</think>

<response>-82, -14, -12</response>


input: Execute bubble sort to sort 73, -59, 86, 97, 48, -76, 5 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [73, -59, 86, 97, 48, -76, 5]

Pass 1:
  Compare 73 and -59
  Swap 73 and -59
  List after swap: [-59, 73, 86, 97, 48, -76, 5]
  Compare 73 and 86
  No swap needed
  Compare 86 and 97
  No swap needed
  Compare 97 and 48
  Swap 97 and 48
  List after swap: [-59, 73, 86, 48, 97, -76, 5]
  Compare 97 and -76
  Swap 97 and -76
  List after swap: [-59, 73, 86, 48, -76, 97, 5]
  Compare 97 and 5
  Swap 97 and 5
  List after swap: [-59, 73, 86, 48, -76, 5, 97]

Pass 2:
  Compare -59 and 73
  No swap needed
  Compare 73 and 86
  No swap needed
  Compare 86 and 48
  Swap 86 and 48
  List after swap: [-59, 73, 48, 86, -76, 5, 97]
  Compare 86 and -76
  Swap 86 and -76
  List after swap: [-59, 73, 48, -76, 86, 5, 97]
  Compare 86 and 5
  Swap 86 and 5
  List after swap: [-59, 73, 48, -76, 5, 86, 97]

Pass 3:
  Compare -59 and 73
  No swap needed
  Compare 73 and 48
  Swap 73 and 48
  List after swap: [-59, 48, 73, -76, 5, 86, 97]
  Compare 73 and -76
  Swap 73 and -76
  List after swap: [-59, 48, -76, 73, 5, 86, 97]
  Compare 73 and 5
  Swap 73 and 5
  List after swap: [-59, 48, -76, 5, 73, 86, 97]

Pass 4:
  Compare -59 and 48
  No swap needed
  Compare 48 and -76
  Swap 48 and -76
  List after swap: [-59, -76, 48, 5, 73, 86, 97]
  Compare 48 and 5
  Swap 48 and 5
  List after swap: [-59, -76, 5, 48, 73, 86, 97]

Pass 5:
  Compare -59 and -76
  Swap -59 and -76
  List after swap: [-76, -59, 5, 48, 73, 86, 97]
  Compare -59 and 5
  No swap needed

Pass 6:
  Compare -76 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -59, 5, 48, 73, 86, 97]
</think>

<response>-76, -59, 5, 48, 73, 86, 97</response>


input: Using the bubble sort method, sort 83, -3 from lowest to highest and provide a step-by-step breakdown.

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

Pass 1:
  Compare 83 and -3
  Swap 83 and -3
  List after swap: [-3, 83]

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

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

<response>-3, 83</response>


input: Carry out the bubble sort algorithm on -63, -18, -23, 55, 2, 9 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-63, -18, -23, 55, 2, 9]

Pass 1:
  Compare -63 and -18
  No swap needed
  Compare -18 and -23
  Swap -18 and -23
  List after swap: [-63, -23, -18, 55, 2, 9]
  Compare -18 and 55
  No swap needed
  Compare 55 and 2
  Swap 55 and 2
  List after swap: [-63, -23, -18, 2, 55, 9]
  Compare 55 and 9
  Swap 55 and 9
  List after swap: [-63, -23, -18, 2, 9, 55]

Pass 2:
  Compare -63 and -23
  No swap needed
  Compare -23 and -18
  No swap needed
  Compare -18 and 2
  No swap needed
  Compare 2 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -23, -18, 2, 9, 55]
</think>

<response>-63, -23, -18, 2, 9, 55</response>


input: Sort these integers -49, 38, -27, 54, 81, 59, 79, 19 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-49, 38, -27, 54, 81, 59, 79, 19]

Pass 1:
  Compare -49 and 38
  No swap needed
  Compare 38 and -27
  Swap 38 and -27
  List after swap: [-49, -27, 38, 54, 81, 59, 79, 19]
  Compare 38 and 54
  No swap needed
  Compare 54 and 81
  No swap needed
  Compare 81 and 59
  Swap 81 and 59
  List after swap: [-49, -27, 38, 54, 59, 81, 79, 19]
  Compare 81 and 79
  Swap 81 and 79
  List after swap: [-49, -27, 38, 54, 59, 79, 81, 19]
  Compare 81 and 19
  Swap 81 and 19
  List after swap: [-49, -27, 38, 54, 59, 79, 19, 81]

Pass 2:
  Compare -49 and -27
  No swap needed
  Compare -27 and 38
  No swap needed
  Compare 38 and 54
  No swap needed
  Compare 54 and 59
  No swap needed
  Compare 59 and 79
  No swap needed
  Compare 79 and 19
  Swap 79 and 19
  List after swap: [-49, -27, 38, 54, 59, 19, 79, 81]

Pass 3:
  Compare -49 and -27
  No swap needed
  Compare -27 and 38
  No swap needed
  Compare 38 and 54
  No swap needed
  Compare 54 and 59
  No swap needed
  Compare 59 and 19
  Swap 59 and 19
  List after swap: [-49, -27, 38, 54, 19, 59, 79, 81]

Pass 4:
  Compare -49 and -27
  No swap needed
  Compare -27 and 38
  No swap needed
  Compare 38 and 54
  No swap needed
  Compare 54 and 19
  Swap 54 and 19
  List after swap: [-49, -27, 38, 19, 54, 59, 79, 81]

Pass 5:
  Compare -49 and -27
  No swap needed
  Compare -27 and 38
  No swap needed
  Compare 38 and 19
  Swap 38 and 19
  List after swap: [-49, -27, 19, 38, 54, 59, 79, 81]

Pass 6:
  Compare -49 and -27
  No swap needed
  Compare -27 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -27, 19, 38, 54, 59, 79, 81]
</think>

<response>-49, -27, 19, 38, 54, 59, 79, 81</response>


input: Execute bubble sort to sort -28, -55, 21, -19, -24 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-28, -55, 21, -19, -24]

Pass 1:
  Compare -28 and -55
  Swap -28 and -55
  List after swap: [-55, -28, 21, -19, -24]
  Compare -28 and 21
  No swap needed
  Compare 21 and -19
  Swap 21 and -19
  List after swap: [-55, -28, -19, 21, -24]
  Compare 21 and -24
  Swap 21 and -24
  List after swap: [-55, -28, -19, -24, 21]

Pass 2:
  Compare -55 and -28
  No swap needed
  Compare -28 and -19
  No swap needed
  Compare -19 and -24
  Swap -19 and -24
  List after swap: [-55, -28, -24, -19, 21]

Pass 3:
  Compare -55 and -28
  No swap needed
  Compare -28 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -28, -24, -19, 21]
</think>

<response>-55, -28, -24, -19, 21</response>


input: Sort these integers 24, 72, 86, -73, 21, -6, 91, 43 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [24, 72, 86, -73, 21, -6, 91, 43]

Pass 1:
  Compare 24 and 72
  No swap needed
  Compare 72 and 86
  No swap needed
  Compare 86 and -73
  Swap 86 and -73
  List after swap: [24, 72, -73, 86, 21, -6, 91, 43]
  Compare 86 and 21
  Swap 86 and 21
  List after swap: [24, 72, -73, 21, 86, -6, 91, 43]
  Compare 86 and -6
  Swap 86 and -6
  List after swap: [24, 72, -73, 21, -6, 86, 91, 43]
  Compare 86 and 91
  No swap needed
  Compare 91 and 43
  Swap 91 and 43
  List after swap: [24, 72, -73, 21, -6, 86, 43, 91]

Pass 2:
  Compare 24 and 72
  No swap needed
  Compare 72 and -73
  Swap 72 and -73
  List after swap: [24, -73, 72, 21, -6, 86, 43, 91]
  Compare 72 and 21
  Swap 72 and 21
  List after swap: [24, -73, 21, 72, -6, 86, 43, 91]
  Compare 72 and -6
  Swap 72 and -6
  List after swap: [24, -73, 21, -6, 72, 86, 43, 91]
  Compare 72 and 86
  No swap needed
  Compare 86 and 43
  Swap 86 and 43
  List after swap: [24, -73, 21, -6, 72, 43, 86, 91]

Pass 3:
  Compare 24 and -73
  Swap 24 and -73
  List after swap: [-73, 24, 21, -6, 72, 43, 86, 91]
  Compare 24 and 21
  Swap 24 and 21
  List after swap: [-73, 21, 24, -6, 72, 43, 86, 91]
  Compare 24 and -6
  Swap 24 and -6
  List after swap: [-73, 21, -6, 24, 72, 43, 86, 91]
  Compare 24 and 72
  No swap needed
  Compare 72 and 43
  Swap 72 and 43
  List after swap: [-73, 21, -6, 24, 43, 72, 86, 91]

Pass 4:
  Compare -73 and 21
  No swap needed
  Compare 21 and -6
  Swap 21 and -6
  List after swap: [-73, -6, 21, 24, 43, 72, 86, 91]
  Compare 21 and 24
  No swap needed
  Compare 24 and 43
  No swap needed

Pass 5:
  Compare -73 and -6
  No swap needed
  Compare -6 and 21
  No swap needed
  Compare 21 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -6, 21, 24, 43, 72, 86, 91]
</think>

<response>-73, -6, 21, 24, 43, 72, 86, 91</response>


input: Implement bubble sort on 7, 80 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [7, 80]

Pass 1:
  Compare 7 and 80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [7, 80]
</think>

<response>7, 80</response>


input: Using the bubble sort method, sort 55, -3, -80, 5, 70, -46, -15, -32, 15, -27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [55, -3, -80, 5, 70, -46, -15, -32, 15, -27]

Pass 1:
  Compare 55 and -3
  Swap 55 and -3
  List after swap: [-3, 55, -80, 5, 70, -46, -15, -32, 15, -27]
  Compare 55 and -80
  Swap 55 and -80
  List after swap: [-3, -80, 55, 5, 70, -46, -15, -32, 15, -27]
  Compare 55 and 5
  Swap 55 and 5
  List after swap: [-3, -80, 5, 55, 70, -46, -15, -32, 15, -27]
  Compare 55 and 70
  No swap needed
  Compare 70 and -46
  Swap 70 and -46
  List after swap: [-3, -80, 5, 55, -46, 70, -15, -32, 15, -27]
  Compare 70 and -15
  Swap 70 and -15
  List after swap: [-3, -80, 5, 55, -46, -15, 70, -32, 15, -27]
  Compare 70 and -32
  Swap 70 and -32
  List after swap: [-3, -80, 5, 55, -46, -15, -32, 70, 15, -27]
  Compare 70 and 15
  Swap 70 and 15
  List after swap: [-3, -80, 5, 55, -46, -15, -32, 15, 70, -27]
  Compare 70 and -27
  Swap 70 and -27
  List after swap: [-3, -80, 5, 55, -46, -15, -32, 15, -27, 70]

Pass 2:
  Compare -3 and -80
  Swap -3 and -80
  List after swap: [-80, -3, 5, 55, -46, -15, -32, 15, -27, 70]
  Compare -3 and 5
  No swap needed
  Compare 5 and 55
  No swap needed
  Compare 55 and -46
  Swap 55 and -46
  List after swap: [-80, -3, 5, -46, 55, -15, -32, 15, -27, 70]
  Compare 55 and -15
  Swap 55 and -15
  List after swap: [-80, -3, 5, -46, -15, 55, -32, 15, -27, 70]
  Compare 55 and -32
  Swap 55 and -32
  List after swap: [-80, -3, 5, -46, -15, -32, 55, 15, -27, 70]
  Compare 55 and 15
  Swap 55 and 15
  List after swap: [-80, -3, 5, -46, -15, -32, 15, 55, -27, 70]
  Compare 55 and -27
  Swap 55 and -27
  List after swap: [-80, -3, 5, -46, -15, -32, 15, -27, 55, 70]

Pass 3:
  Compare -80 and -3
  No swap needed
  Compare -3 and 5
  No swap needed
  Compare 5 and -46
  Swap 5 and -46
  List after swap: [-80, -3, -46, 5, -15, -32, 15, -27, 55, 70]
  Compare 5 and -15
  Swap 5 and -15
  List after swap: [-80, -3, -46, -15, 5, -32, 15, -27, 55, 70]
  Compare 5 and -32
  Swap 5 and -32
  List after swap: [-80, -3, -46, -15, -32, 5, 15, -27, 55, 70]
  Compare 5 and 15
  No swap needed
  Compare 15 and -27
  Swap 15 and -27
  List after swap: [-80, -3, -46, -15, -32, 5, -27, 15, 55, 70]

Pass 4:
  Compare -80 and -3
  No swap needed
  Compare -3 and -46
  Swap -3 and -46
  List after swap: [-80, -46, -3, -15, -32, 5, -27, 15, 55, 70]
  Compare -3 and -15
  Swap -3 and -15
  List after swap: [-80, -46, -15, -3, -32, 5, -27, 15, 55, 70]
  Compare -3 and -32
  Swap -3 and -32
  List after swap: [-80, -46, -15, -32, -3, 5, -27, 15, 55, 70]
  Compare -3 and 5
  No swap needed
  Compare 5 and -27
  Swap 5 and -27
  List after swap: [-80, -46, -15, -32, -3, -27, 5, 15, 55, 70]

Pass 5:
  Compare -80 and -46
  No swap needed
  Compare -46 and -15
  No swap needed
  Compare -15 and -32
  Swap -15 and -32
  List after swap: [-80, -46, -32, -15, -3, -27, 5, 15, 55, 70]
  Compare -15 and -3
  No swap needed
  Compare -3 and -27
  Swap -3 and -27
  List after swap: [-80, -46, -32, -15, -27, -3, 5, 15, 55, 70]

Pass 6:
  Compare -80 and -46
  No swap needed
  Compare -46 and -32
  No swap needed
  Compare -32 and -15
  No swap needed
  Compare -15 and -27
  Swap -15 and -27
  List after swap: [-80, -46, -32, -27, -15, -3, 5, 15, 55, 70]

Pass 7:
  Compare -80 and -46
  No swap needed
  Compare -46 and -32
  No swap needed
  Compare -32 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -46, -32, -27, -15, -3, 5, 15, 55, 70]
</think>

<response>-80, -46, -32, -27, -15, -3, 5, 15, 55, 70</response>


input: Arrange the numbers 66, -52, 78, -80, -66, -85 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [66, -52, 78, -80, -66, -85]

Pass 1:
  Compare 66 and -52
  Swap 66 and -52
  List after swap: [-52, 66, 78, -80, -66, -85]
  Compare 66 and 78
  No swap needed
  Compare 78 and -80
  Swap 78 and -80
  List after swap: [-52, 66, -80, 78, -66, -85]
  Compare 78 and -66
  Swap 78 and -66
  List after swap: [-52, 66, -80, -66, 78, -85]
  Compare 78 and -85
  Swap 78 and -85
  List after swap: [-52, 66, -80, -66, -85, 78]

Pass 2:
  Compare -52 and 66
  No swap needed
  Compare 66 and -80
  Swap 66 and -80
  List after swap: [-52, -80, 66, -66, -85, 78]
  Compare 66 and -66
  Swap 66 and -66
  List after swap: [-52, -80, -66, 66, -85, 78]
  Compare 66 and -85
  Swap 66 and -85
  List after swap: [-52, -80, -66, -85, 66, 78]

Pass 3:
  Compare -52 and -80
  Swap -52 and -80
  List after swap: [-80, -52, -66, -85, 66, 78]
  Compare -52 and -66
  Swap -52 and -66
  List after swap: [-80, -66, -52, -85, 66, 78]
  Compare -52 and -85
  Swap -52 and -85
  List after swap: [-80, -66, -85, -52, 66, 78]

Pass 4:
  Compare -80 and -66
  No swap needed
  Compare -66 and -85
  Swap -66 and -85
  List after swap: [-80, -85, -66, -52, 66, 78]

Pass 5:
  Compare -80 and -85
  Swap -80 and -85
  List after swap: [-85, -80, -66, -52, 66, 78]

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

Final sorted list: [-85, -80, -66, -52, 66, 78]
</think>

<response>-85, -80, -66, -52, 66, 78</response>


input: Using the bubble sort method, sort -51, -30, -90, 54, -64 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-51, -30, -90, 54, -64]

Pass 1:
  Compare -51 and -30
  No swap needed
  Compare -30 and -90
  Swap -30 and -90
  List after swap: [-51, -90, -30, 54, -64]
  Compare -30 and 54
  No swap needed
  Compare 54 and -64
  Swap 54 and -64
  List after swap: [-51, -90, -30, -64, 54]

Pass 2:
  Compare -51 and -90
  Swap -51 and -90
  List after swap: [-90, -51, -30, -64, 54]
  Compare -51 and -30
  No swap needed
  Compare -30 and -64
  Swap -30 and -64
  List after swap: [-90, -51, -64, -30, 54]

Pass 3:
  Compare -90 and -51
  No swap needed
  Compare -51 and -64
  Swap -51 and -64
  List after swap: [-90, -64, -51, -30, 54]

Pass 4:
  Compare -90 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -64, -51, -30, 54]
</think>

<response>-90, -64, -51, -30, 54</response>


input: Use the bubble sort technique to reorder -9, -55, 6, -30, 26, -38, 27 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-9, -55, 6, -30, 26, -38, 27]

Pass 1:
  Compare -9 and -55
  Swap -9 and -55
  List after swap: [-55, -9, 6, -30, 26, -38, 27]
  Compare -9 and 6
  No swap needed
  Compare 6 and -30
  Swap 6 and -30
  List after swap: [-55, -9, -30, 6, 26, -38, 27]
  Compare 6 and 26
  No swap needed
  Compare 26 and -38
  Swap 26 and -38
  List after swap: [-55, -9, -30, 6, -38, 26, 27]
  Compare 26 and 27
  No swap needed

Pass 2:
  Compare -55 and -9
  No swap needed
  Compare -9 and -30
  Swap -9 and -30
  List after swap: [-55, -30, -9, 6, -38, 26, 27]
  Compare -9 and 6
  No swap needed
  Compare 6 and -38
  Swap 6 and -38
  List after swap: [-55, -30, -9, -38, 6, 26, 27]
  Compare 6 and 26
  No swap needed

Pass 3:
  Compare -55 and -30
  No swap needed
  Compare -30 and -9
  No swap needed
  Compare -9 and -38
  Swap -9 and -38
  List after swap: [-55, -30, -38, -9, 6, 26, 27]
  Compare -9 and 6
  No swap needed

Pass 4:
  Compare -55 and -30
  No swap needed
  Compare -30 and -38
  Swap -30 and -38
  List after swap: [-55, -38, -30, -9, 6, 26, 27]
  Compare -30 and -9
  No swap needed

Pass 5:
  Compare -55 and -38
  No swap needed
  Compare -38 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -38, -30, -9, 6, 26, 27]
</think>

<response>-55, -38, -30, -9, 6, 26, 27</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 66, -24, 65, -73, 51, 10, -54.

output:
<think>
Initial list: [66, -24, 65, -73, 51, 10, -54]

Pass 1:
  Compare 66 and -24
  Swap 66 and -24
  List after swap: [-24, 66, 65, -73, 51, 10, -54]
  Compare 66 and 65
  Swap 66 and 65
  List after swap: [-24, 65, 66, -73, 51, 10, -54]
  Compare 66 and -73
  Swap 66 and -73
  List after swap: [-24, 65, -73, 66, 51, 10, -54]
  Compare 66 and 51
  Swap 66 and 51
  List after swap: [-24, 65, -73, 51, 66, 10, -54]
  Compare 66 and 10
  Swap 66 and 10
  List after swap: [-24, 65, -73, 51, 10, 66, -54]
  Compare 66 and -54
  Swap 66 and -54
  List after swap: [-24, 65, -73, 51, 10, -54, 66]

Pass 2:
  Compare -24 and 65
  No swap needed
  Compare 65 and -73
  Swap 65 and -73
  List after swap: [-24, -73, 65, 51, 10, -54, 66]
  Compare 65 and 51
  Swap 65 and 51
  List after swap: [-24, -73, 51, 65, 10, -54, 66]
  Compare 65 and 10
  Swap 65 and 10
  List after swap: [-24, -73, 51, 10, 65, -54, 66]
  Compare 65 and -54
  Swap 65 and -54
  List after swap: [-24, -73, 51, 10, -54, 65, 66]

Pass 3:
  Compare -24 and -73
  Swap -24 and -73
  List after swap: [-73, -24, 51, 10, -54, 65, 66]
  Compare -24 and 51
  No swap needed
  Compare 51 and 10
  Swap 51 and 10
  List after swap: [-73, -24, 10, 51, -54, 65, 66]
  Compare 51 and -54
  Swap 51 and -54
  List after swap: [-73, -24, 10, -54, 51, 65, 66]

Pass 4:
  Compare -73 and -24
  No swap needed
  Compare -24 and 10
  No swap needed
  Compare 10 and -54
  Swap 10 and -54
  List after swap: [-73, -24, -54, 10, 51, 65, 66]

Pass 5:
  Compare -73 and -24
  No swap needed
  Compare -24 and -54
  Swap -24 and -54
  List after swap: [-73, -54, -24, 10, 51, 65, 66]

Pass 6:
  Compare -73 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -54, -24, 10, 51, 65, 66]
</think>

<response>-73, -54, -24, 10, 51, 65, 66</response>


input: Using the bubble sort method, sort 95, -56, -12 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [95, -56, -12]

Pass 1:
  Compare 95 and -56
  Swap 95 and -56
  List after swap: [-56, 95, -12]
  Compare 95 and -12
  Swap 95 and -12
  List after swap: [-56, -12, 95]

Pass 2:
  Compare -56 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -12, 95]
</think>

<response>-56, -12, 95</response>


input: Perform a bubble sort on the integers 12, 29, -82, -78, 24, -83, -88, -32, -70, -11, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [12, 29, -82, -78, 24, -83, -88, -32, -70, -11]

Pass 1:
  Compare 12 and 29
  No swap needed
  Compare 29 and -82
  Swap 29 and -82
  List after swap: [12, -82, 29, -78, 24, -83, -88, -32, -70, -11]
  Compare 29 and -78
  Swap 29 and -78
  List after swap: [12, -82, -78, 29, 24, -83, -88, -32, -70, -11]
  Compare 29 and 24
  Swap 29 and 24
  List after swap: [12, -82, -78, 24, 29, -83, -88, -32, -70, -11]
  Compare 29 and -83
  Swap 29 and -83
  List after swap: [12, -82, -78, 24, -83, 29, -88, -32, -70, -11]
  Compare 29 and -88
  Swap 29 and -88
  List after swap: [12, -82, -78, 24, -83, -88, 29, -32, -70, -11]
  Compare 29 and -32
  Swap 29 and -32
  List after swap: [12, -82, -78, 24, -83, -88, -32, 29, -70, -11]
  Compare 29 and -70
  Swap 29 and -70
  List after swap: [12, -82, -78, 24, -83, -88, -32, -70, 29, -11]
  Compare 29 and -11
  Swap 29 and -11
  List after swap: [12, -82, -78, 24, -83, -88, -32, -70, -11, 29]

Pass 2:
  Compare 12 and -82
  Swap 12 and -82
  List after swap: [-82, 12, -78, 24, -83, -88, -32, -70, -11, 29]
  Compare 12 and -78
  Swap 12 and -78
  List after swap: [-82, -78, 12, 24, -83, -88, -32, -70, -11, 29]
  Compare 12 and 24
  No swap needed
  Compare 24 and -83
  Swap 24 and -83
  List after swap: [-82, -78, 12, -83, 24, -88, -32, -70, -11, 29]
  Compare 24 and -88
  Swap 24 and -88
  List after swap: [-82, -78, 12, -83, -88, 24, -32, -70, -11, 29]
  Compare 24 and -32
  Swap 24 and -32
  List after swap: [-82, -78, 12, -83, -88, -32, 24, -70, -11, 29]
  Compare 24 and -70
  Swap 24 and -70
  List after swap: [-82, -78, 12, -83, -88, -32, -70, 24, -11, 29]
  Compare 24 and -11
  Swap 24 and -11
  List after swap: [-82, -78, 12, -83, -88, -32, -70, -11, 24, 29]

Pass 3:
  Compare -82 and -78
  No swap needed
  Compare -78 and 12
  No swap needed
  Compare 12 and -83
  Swap 12 and -83
  List after swap: [-82, -78, -83, 12, -88, -32, -70, -11, 24, 29]
  Compare 12 and -88
  Swap 12 and -88
  List after swap: [-82, -78, -83, -88, 12, -32, -70, -11, 24, 29]
  Compare 12 and -32
  Swap 12 and -32
  List after swap: [-82, -78, -83, -88, -32, 12, -70, -11, 24, 29]
  Compare 12 and -70
  Swap 12 and -70
  List after swap: [-82, -78, -83, -88, -32, -70, 12, -11, 24, 29]
  Compare 12 and -11
  Swap 12 and -11
  List after swap: [-82, -78, -83, -88, -32, -70, -11, 12, 24, 29]

Pass 4:
  Compare -82 and -78
  No swap needed
  Compare -78 and -83
  Swap -78 and -83
  List after swap: [-82, -83, -78, -88, -32, -70, -11, 12, 24, 29]
  Compare -78 and -88
  Swap -78 and -88
  List after swap: [-82, -83, -88, -78, -32, -70, -11, 12, 24, 29]
  Compare -78 and -32
  No swap needed
  Compare -32 and -70
  Swap -32 and -70
  List after swap: [-82, -83, -88, -78, -70, -32, -11, 12, 24, 29]
  Compare -32 and -11
  No swap needed

Pass 5:
  Compare -82 and -83
  Swap -82 and -83
  List after swap: [-83, -82, -88, -78, -70, -32, -11, 12, 24, 29]
  Compare -82 and -88
  Swap -82 and -88
  List after swap: [-83, -88, -82, -78, -70, -32, -11, 12, 24, 29]
  Compare -82 and -78
  No swap needed
  Compare -78 and -70
  No swap needed
  Compare -70 and -32
  No swap needed

Pass 6:
  Compare -83 and -88
  Swap -83 and -88
  List after swap: [-88, -83, -82, -78, -70, -32, -11, 12, 24, 29]
  Compare -83 and -82
  No swap needed
  Compare -82 and -78
  No swap needed
  Compare -78 and -70
  No swap needed

Pass 7:
  Compare -88 and -83
  No swap needed
  Compare -83 and -82
  No swap needed
  Compare -82 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -83, -82, -78, -70, -32, -11, 12, 24, 29]
</think>

<response>-88, -83, -82, -78, -70, -32, -11, 12, 24, 29</response>


input: Use the bubble sort technique to reorder 27, -61 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [27, -61]

Pass 1:
  Compare 27 and -61
  Swap 27 and -61
  List after swap: [-61, 27]

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

Final sorted list: [-61, 27]
</think>

<response>-61, 27</response>


input: Sort the list 28, -76 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [28, -76]

Pass 1:
  Compare 28 and -76
  Swap 28 and -76
  List after swap: [-76, 28]

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

Final sorted list: [-76, 28]
</think>

<response>-76, 28</response>


input: Arrange the numbers -57, -61, -11, 30, -24, -3 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-57, -61, -11, 30, -24, -3]

Pass 1:
  Compare -57 and -61
  Swap -57 and -61
  List after swap: [-61, -57, -11, 30, -24, -3]
  Compare -57 and -11
  No swap needed
  Compare -11 and 30
  No swap needed
  Compare 30 and -24
  Swap 30 and -24
  List after swap: [-61, -57, -11, -24, 30, -3]
  Compare 30 and -3
  Swap 30 and -3
  List after swap: [-61, -57, -11, -24, -3, 30]

Pass 2:
  Compare -61 and -57
  No swap needed
  Compare -57 and -11
  No swap needed
  Compare -11 and -24
  Swap -11 and -24
  List after swap: [-61, -57, -24, -11, -3, 30]
  Compare -11 and -3
  No swap needed

Pass 3:
  Compare -61 and -57
  No swap needed
  Compare -57 and -24
  No swap needed
  Compare -24 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -57, -24, -11, -3, 30]
</think>

<response>-61, -57, -24, -11, -3, 30</response>


input: Sort these integers -82, -71, -76, -89, -80, -5, 32, -67, -27 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-82, -71, -76, -89, -80, -5, 32, -67, -27]

Pass 1:
  Compare -82 and -71
  No swap needed
  Compare -71 and -76
  Swap -71 and -76
  List after swap: [-82, -76, -71, -89, -80, -5, 32, -67, -27]
  Compare -71 and -89
  Swap -71 and -89
  List after swap: [-82, -76, -89, -71, -80, -5, 32, -67, -27]
  Compare -71 and -80
  Swap -71 and -80
  List after swap: [-82, -76, -89, -80, -71, -5, 32, -67, -27]
  Compare -71 and -5
  No swap needed
  Compare -5 and 32
  No swap needed
  Compare 32 and -67
  Swap 32 and -67
  List after swap: [-82, -76, -89, -80, -71, -5, -67, 32, -27]
  Compare 32 and -27
  Swap 32 and -27
  List after swap: [-82, -76, -89, -80, -71, -5, -67, -27, 32]

Pass 2:
  Compare -82 and -76
  No swap needed
  Compare -76 and -89
  Swap -76 and -89
  List after swap: [-82, -89, -76, -80, -71, -5, -67, -27, 32]
  Compare -76 and -80
  Swap -76 and -80
  List after swap: [-82, -89, -80, -76, -71, -5, -67, -27, 32]
  Compare -76 and -71
  No swap needed
  Compare -71 and -5
  No swap needed
  Compare -5 and -67
  Swap -5 and -67
  List after swap: [-82, -89, -80, -76, -71, -67, -5, -27, 32]
  Compare -5 and -27
  Swap -5 and -27
  List after swap: [-82, -89, -80, -76, -71, -67, -27, -5, 32]

Pass 3:
  Compare -82 and -89
  Swap -82 and -89
  List after swap: [-89, -82, -80, -76, -71, -67, -27, -5, 32]
  Compare -82 and -80
  No swap needed
  Compare -80 and -76
  No swap needed
  Compare -76 and -71
  No swap needed
  Compare -71 and -67
  No swap needed
  Compare -67 and -27
  No swap needed

Pass 4:
  Compare -89 and -82
  No swap needed
  Compare -82 and -80
  No swap needed
  Compare -80 and -76
  No swap needed
  Compare -76 and -71
  No swap needed
  Compare -71 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -82, -80, -76, -71, -67, -27, -5, 32]
</think>

<response>-89, -82, -80, -76, -71, -67, -27, -5, 32</response>


input: Demonstrate how bubble sort orders the integers 42, -64, 13, -65, 14, 49, 36, 32 in ascending sequence, showing all steps.

output:
<think>
Initial list: [42, -64, 13, -65, 14, 49, 36, 32]

Pass 1:
  Compare 42 and -64
  Swap 42 and -64
  List after swap: [-64, 42, 13, -65, 14, 49, 36, 32]
  Compare 42 and 13
  Swap 42 and 13
  List after swap: [-64, 13, 42, -65, 14, 49, 36, 32]
  Compare 42 and -65
  Swap 42 and -65
  List after swap: [-64, 13, -65, 42, 14, 49, 36, 32]
  Compare 42 and 14
  Swap 42 and 14
  List after swap: [-64, 13, -65, 14, 42, 49, 36, 32]
  Compare 42 and 49
  No swap needed
  Compare 49 and 36
  Swap 49 and 36
  List after swap: [-64, 13, -65, 14, 42, 36, 49, 32]
  Compare 49 and 32
  Swap 49 and 32
  List after swap: [-64, 13, -65, 14, 42, 36, 32, 49]

Pass 2:
  Compare -64 and 13
  No swap needed
  Compare 13 and -65
  Swap 13 and -65
  List after swap: [-64, -65, 13, 14, 42, 36, 32, 49]
  Compare 13 and 14
  No swap needed
  Compare 14 and 42
  No swap needed
  Compare 42 and 36
  Swap 42 and 36
  List after swap: [-64, -65, 13, 14, 36, 42, 32, 49]
  Compare 42 and 32
  Swap 42 and 32
  List after swap: [-64, -65, 13, 14, 36, 32, 42, 49]

Pass 3:
  Compare -64 and -65
  Swap -64 and -65
  List after swap: [-65, -64, 13, 14, 36, 32, 42, 49]
  Compare -64 and 13
  No swap needed
  Compare 13 and 14
  No swap needed
  Compare 14 and 36
  No swap needed
  Compare 36 and 32
  Swap 36 and 32
  List after swap: [-65, -64, 13, 14, 32, 36, 42, 49]

Pass 4:
  Compare -65 and -64
  No swap needed
  Compare -64 and 13
  No swap needed
  Compare 13 and 14
  No swap needed
  Compare 14 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -64, 13, 14, 32, 36, 42, 49]
</think>

<response>-65, -64, 13, 14, 32, 36, 42, 49</response>


input: Demonstrate how bubble sort orders the integers 44, -81 in ascending sequence, showing all steps.

output:
<think>
Initial list: [44, -81]

Pass 1:
  Compare 44 and -81
  Swap 44 and -81
  List after swap: [-81, 44]

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

Final sorted list: [-81, 44]
</think>

<response>-81, 44</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 11, 29, -16, -56, -50.

output:
<think>
Initial list: [11, 29, -16, -56, -50]

Pass 1:
  Compare 11 and 29
  No swap needed
  Compare 29 and -16
  Swap 29 and -16
  List after swap: [11, -16, 29, -56, -50]
  Compare 29 and -56
  Swap 29 and -56
  List after swap: [11, -16, -56, 29, -50]
  Compare 29 and -50
  Swap 29 and -50
  List after swap: [11, -16, -56, -50, 29]

Pass 2:
  Compare 11 and -16
  Swap 11 and -16
  List after swap: [-16, 11, -56, -50, 29]
  Compare 11 and -56
  Swap 11 and -56
  List after swap: [-16, -56, 11, -50, 29]
  Compare 11 and -50
  Swap 11 and -50
  List after swap: [-16, -56, -50, 11, 29]

Pass 3:
  Compare -16 and -56
  Swap -16 and -56
  List after swap: [-56, -16, -50, 11, 29]
  Compare -16 and -50
  Swap -16 and -50
  List after swap: [-56, -50, -16, 11, 29]

Pass 4:
  Compare -56 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -50, -16, 11, 29]
</think>

<response>-56, -50, -16, 11, 29</response>


input: Sort the list -68, 37, -49, 87, -77, 51, 59, -90, 93, 16 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-68, 37, -49, 87, -77, 51, 59, -90, 93, 16]

Pass 1:
  Compare -68 and 37
  No swap needed
  Compare 37 and -49
  Swap 37 and -49
  List after swap: [-68, -49, 37, 87, -77, 51, 59, -90, 93, 16]
  Compare 37 and 87
  No swap needed
  Compare 87 and -77
  Swap 87 and -77
  List after swap: [-68, -49, 37, -77, 87, 51, 59, -90, 93, 16]
  Compare 87 and 51
  Swap 87 and 51
  List after swap: [-68, -49, 37, -77, 51, 87, 59, -90, 93, 16]
  Compare 87 and 59
  Swap 87 and 59
  List after swap: [-68, -49, 37, -77, 51, 59, 87, -90, 93, 16]
  Compare 87 and -90
  Swap 87 and -90
  List after swap: [-68, -49, 37, -77, 51, 59, -90, 87, 93, 16]
  Compare 87 and 93
  No swap needed
  Compare 93 and 16
  Swap 93 and 16
  List after swap: [-68, -49, 37, -77, 51, 59, -90, 87, 16, 93]

Pass 2:
  Compare -68 and -49
  No swap needed
  Compare -49 and 37
  No swap needed
  Compare 37 and -77
  Swap 37 and -77
  List after swap: [-68, -49, -77, 37, 51, 59, -90, 87, 16, 93]
  Compare 37 and 51
  No swap needed
  Compare 51 and 59
  No swap needed
  Compare 59 and -90
  Swap 59 and -90
  List after swap: [-68, -49, -77, 37, 51, -90, 59, 87, 16, 93]
  Compare 59 and 87
  No swap needed
  Compare 87 and 16
  Swap 87 and 16
  List after swap: [-68, -49, -77, 37, 51, -90, 59, 16, 87, 93]

Pass 3:
  Compare -68 and -49
  No swap needed
  Compare -49 and -77
  Swap -49 and -77
  List after swap: [-68, -77, -49, 37, 51, -90, 59, 16, 87, 93]
  Compare -49 and 37
  No swap needed
  Compare 37 and 51
  No swap needed
  Compare 51 and -90
  Swap 51 and -90
  List after swap: [-68, -77, -49, 37, -90, 51, 59, 16, 87, 93]
  Compare 51 and 59
  No swap needed
  Compare 59 and 16
  Swap 59 and 16
  List after swap: [-68, -77, -49, 37, -90, 51, 16, 59, 87, 93]

Pass 4:
  Compare -68 and -77
  Swap -68 and -77
  List after swap: [-77, -68, -49, 37, -90, 51, 16, 59, 87, 93]
  Compare -68 and -49
  No swap needed
  Compare -49 and 37
  No swap needed
  Compare 37 and -90
  Swap 37 and -90
  List after swap: [-77, -68, -49, -90, 37, 51, 16, 59, 87, 93]
  Compare 37 and 51
  No swap needed
  Compare 51 and 16
  Swap 51 and 16
  List after swap: [-77, -68, -49, -90, 37, 16, 51, 59, 87, 93]

Pass 5:
  Compare -77 and -68
  No swap needed
  Compare -68 and -49
  No swap needed
  Compare -49 and -90
  Swap -49 and -90
  List after swap: [-77, -68, -90, -49, 37, 16, 51, 59, 87, 93]
  Compare -49 and 37
  No swap needed
  Compare 37 and 16
  Swap 37 and 16
  List after swap: [-77, -68, -90, -49, 16, 37, 51, 59, 87, 93]

Pass 6:
  Compare -77 and -68
  No swap needed
  Compare -68 and -90
  Swap -68 and -90
  List after swap: [-77, -90, -68, -49, 16, 37, 51, 59, 87, 93]
  Compare -68 and -49
  No swap needed
  Compare -49 and 16
  No swap needed

Pass 7:
  Compare -77 and -90
  Swap -77 and -90
  List after swap: [-90, -77, -68, -49, 16, 37, 51, 59, 87, 93]
  Compare -77 and -68
  No swap needed
  Compare -68 and -49
  No swap needed

Pass 8:
  Compare -90 and -77
  No swap needed
  Compare -77 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -77, -68, -49, 16, 37, 51, 59, 87, 93]
</think>

<response>-90, -77, -68, -49, 16, 37, 51, 59, 87, 93</response>


input: Arrange the numbers -51, 2, 86, 93, -59, -10, -52, 49, 92, -50 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-51, 2, 86, 93, -59, -10, -52, 49, 92, -50]

Pass 1:
  Compare -51 and 2
  No swap needed
  Compare 2 and 86
  No swap needed
  Compare 86 and 93
  No swap needed
  Compare 93 and -59
  Swap 93 and -59
  List after swap: [-51, 2, 86, -59, 93, -10, -52, 49, 92, -50]
  Compare 93 and -10
  Swap 93 and -10
  List after swap: [-51, 2, 86, -59, -10, 93, -52, 49, 92, -50]
  Compare 93 and -52
  Swap 93 and -52
  List after swap: [-51, 2, 86, -59, -10, -52, 93, 49, 92, -50]
  Compare 93 and 49
  Swap 93 and 49
  List after swap: [-51, 2, 86, -59, -10, -52, 49, 93, 92, -50]
  Compare 93 and 92
  Swap 93 and 92
  List after swap: [-51, 2, 86, -59, -10, -52, 49, 92, 93, -50]
  Compare 93 and -50
  Swap 93 and -50
  List after swap: [-51, 2, 86, -59, -10, -52, 49, 92, -50, 93]

Pass 2:
  Compare -51 and 2
  No swap needed
  Compare 2 and 86
  No swap needed
  Compare 86 and -59
  Swap 86 and -59
  List after swap: [-51, 2, -59, 86, -10, -52, 49, 92, -50, 93]
  Compare 86 and -10
  Swap 86 and -10
  List after swap: [-51, 2, -59, -10, 86, -52, 49, 92, -50, 93]
  Compare 86 and -52
  Swap 86 and -52
  List after swap: [-51, 2, -59, -10, -52, 86, 49, 92, -50, 93]
  Compare 86 and 49
  Swap 86 and 49
  List after swap: [-51, 2, -59, -10, -52, 49, 86, 92, -50, 93]
  Compare 86 and 92
  No swap needed
  Compare 92 and -50
  Swap 92 and -50
  List after swap: [-51, 2, -59, -10, -52, 49, 86, -50, 92, 93]

Pass 3:
  Compare -51 and 2
  No swap needed
  Compare 2 and -59
  Swap 2 and -59
  List after swap: [-51, -59, 2, -10, -52, 49, 86, -50, 92, 93]
  Compare 2 and -10
  Swap 2 and -10
  List after swap: [-51, -59, -10, 2, -52, 49, 86, -50, 92, 93]
  Compare 2 and -52
  Swap 2 and -52
  List after swap: [-51, -59, -10, -52, 2, 49, 86, -50, 92, 93]
  Compare 2 and 49
  No swap needed
  Compare 49 and 86
  No swap needed
  Compare 86 and -50
  Swap 86 and -50
  List after swap: [-51, -59, -10, -52, 2, 49, -50, 86, 92, 93]

Pass 4:
  Compare -51 and -59
  Swap -51 and -59
  List after swap: [-59, -51, -10, -52, 2, 49, -50, 86, 92, 93]
  Compare -51 and -10
  No swap needed
  Compare -10 and -52
  Swap -10 and -52
  List after swap: [-59, -51, -52, -10, 2, 49, -50, 86, 92, 93]
  Compare -10 and 2
  No swap needed
  Compare 2 and 49
  No swap needed
  Compare 49 and -50
  Swap 49 and -50
  List after swap: [-59, -51, -52, -10, 2, -50, 49, 86, 92, 93]

Pass 5:
  Compare -59 and -51
  No swap needed
  Compare -51 and -52
  Swap -51 and -52
  List after swap: [-59, -52, -51, -10, 2, -50, 49, 86, 92, 93]
  Compare -51 and -10
  No swap needed
  Compare -10 and 2
  No swap needed
  Compare 2 and -50
  Swap 2 and -50
  List after swap: [-59, -52, -51, -10, -50, 2, 49, 86, 92, 93]

Pass 6:
  Compare -59 and -52
  No swap needed
  Compare -52 and -51
  No swap needed
  Compare -51 and -10
  No swap needed
  Compare -10 and -50
  Swap -10 and -50
  List after swap: [-59, -52, -51, -50, -10, 2, 49, 86, 92, 93]

Pass 7:
  Compare -59 and -52
  No swap needed
  Compare -52 and -51
  No swap needed
  Compare -51 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -52, -51, -50, -10, 2, 49, 86, 92, 93]
</think>

<response>-59, -52, -51, -50, -10, 2, 49, 86, 92, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 96, -70.

output:
<think>
Initial list: [96, -70]

Pass 1:
  Compare 96 and -70
  Swap 96 and -70
  List after swap: [-70, 96]

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

Final sorted list: [-70, 96]
</think>

<response>-70, 96</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -6, 98, -35, 33, 9, -77, -38.

output:
<think>
Initial list: [-6, 98, -35, 33, 9, -77, -38]

Pass 1:
  Compare -6 and 98
  No swap needed
  Compare 98 and -35
  Swap 98 and -35
  List after swap: [-6, -35, 98, 33, 9, -77, -38]
  Compare 98 and 33
  Swap 98 and 33
  List after swap: [-6, -35, 33, 98, 9, -77, -38]
  Compare 98 and 9
  Swap 98 and 9
  List after swap: [-6, -35, 33, 9, 98, -77, -38]
  Compare 98 and -77
  Swap 98 and -77
  List after swap: [-6, -35, 33, 9, -77, 98, -38]
  Compare 98 and -38
  Swap 98 and -38
  List after swap: [-6, -35, 33, 9, -77, -38, 98]

Pass 2:
  Compare -6 and -35
  Swap -6 and -35
  List after swap: [-35, -6, 33, 9, -77, -38, 98]
  Compare -6 and 33
  No swap needed
  Compare 33 and 9
  Swap 33 and 9
  List after swap: [-35, -6, 9, 33, -77, -38, 98]
  Compare 33 and -77
  Swap 33 and -77
  List after swap: [-35, -6, 9, -77, 33, -38, 98]
  Compare 33 and -38
  Swap 33 and -38
  List after swap: [-35, -6, 9, -77, -38, 33, 98]

Pass 3:
  Compare -35 and -6
  No swap needed
  Compare -6 and 9
  No swap needed
  Compare 9 and -77
  Swap 9 and -77
  List after swap: [-35, -6, -77, 9, -38, 33, 98]
  Compare 9 and -38
  Swap 9 and -38
  List after swap: [-35, -6, -77, -38, 9, 33, 98]

Pass 4:
  Compare -35 and -6
  No swap needed
  Compare -6 and -77
  Swap -6 and -77
  List after swap: [-35, -77, -6, -38, 9, 33, 98]
  Compare -6 and -38
  Swap -6 and -38
  List after swap: [-35, -77, -38, -6, 9, 33, 98]

Pass 5:
  Compare -35 and -77
  Swap -35 and -77
  List after swap: [-77, -35, -38, -6, 9, 33, 98]
  Compare -35 and -38
  Swap -35 and -38
  List after swap: [-77, -38, -35, -6, 9, 33, 98]

Pass 6:
  Compare -77 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -38, -35, -6, 9, 33, 98]
</think>

<response>-77, -38, -35, -6, 9, 33, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -12, 53, -35, -49.

output:
<think>
Initial list: [-12, 53, -35, -49]

Pass 1:
  Compare -12 and 53
  No swap needed
  Compare 53 and -35
  Swap 53 and -35
  List after swap: [-12, -35, 53, -49]
  Compare 53 and -49
  Swap 53 and -49
  List after swap: [-12, -35, -49, 53]

Pass 2:
  Compare -12 and -35
  Swap -12 and -35
  List after swap: [-35, -12, -49, 53]
  Compare -12 and -49
  Swap -12 and -49
  List after swap: [-35, -49, -12, 53]

Pass 3:
  Compare -35 and -49
  Swap -35 and -49
  List after swap: [-49, -35, -12, 53]

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

Final sorted list: [-49, -35, -12, 53]
</think>

<response>-49, -35, -12, 53</response>


input: Use the bubble sort technique to reorder 95, -74, -91, -21, 2 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [95, -74, -91, -21, 2]

Pass 1:
  Compare 95 and -74
  Swap 95 and -74
  List after swap: [-74, 95, -91, -21, 2]
  Compare 95 and -91
  Swap 95 and -91
  List after swap: [-74, -91, 95, -21, 2]
  Compare 95 and -21
  Swap 95 and -21
  List after swap: [-74, -91, -21, 95, 2]
  Compare 95 and 2
  Swap 95 and 2
  List after swap: [-74, -91, -21, 2, 95]

Pass 2:
  Compare -74 and -91
  Swap -74 and -91
  List after swap: [-91, -74, -21, 2, 95]
  Compare -74 and -21
  No swap needed
  Compare -21 and 2
  No swap needed

Pass 3:
  Compare -91 and -74
  No swap needed
  Compare -74 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -74, -21, 2, 95]
</think>

<response>-91, -74, -21, 2, 95</response>


input: Implement bubble sort on 85, 66 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [85, 66]

Pass 1:
  Compare 85 and 66
  Swap 85 and 66
  List after swap: [66, 85]

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

Final sorted list: [66, 85]
</think>

<response>66, 85</response>


input: Carry out the bubble sort algorithm on 39, -64, -100, -12, 84 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [39, -64, -100, -12, 84]

Pass 1:
  Compare 39 and -64
  Swap 39 and -64
  List after swap: [-64, 39, -100, -12, 84]
  Compare 39 and -100
  Swap 39 and -100
  List after swap: [-64, -100, 39, -12, 84]
  Compare 39 and -12
  Swap 39 and -12
  List after swap: [-64, -100, -12, 39, 84]
  Compare 39 and 84
  No swap needed

Pass 2:
  Compare -64 and -100
  Swap -64 and -100
  List after swap: [-100, -64, -12, 39, 84]
  Compare -64 and -12
  No swap needed
  Compare -12 and 39
  No swap needed

Pass 3:
  Compare -100 and -64
  No swap needed
  Compare -64 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -64, -12, 39, 84]
</think>

<response>-100, -64, -12, 39, 84</response>


input: Using the bubble sort method, sort -88, -36, -4, -97, -55, -85, -30 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-88, -36, -4, -97, -55, -85, -30]

Pass 1:
  Compare -88 and -36
  No swap needed
  Compare -36 and -4
  No swap needed
  Compare -4 and -97
  Swap -4 and -97
  List after swap: [-88, -36, -97, -4, -55, -85, -30]
  Compare -4 and -55
  Swap -4 and -55
  List after swap: [-88, -36, -97, -55, -4, -85, -30]
  Compare -4 and -85
  Swap -4 and -85
  List after swap: [-88, -36, -97, -55, -85, -4, -30]
  Compare -4 and -30
  Swap -4 and -30
  List after swap: [-88, -36, -97, -55, -85, -30, -4]

Pass 2:
  Compare -88 and -36
  No swap needed
  Compare -36 and -97
  Swap -36 and -97
  List after swap: [-88, -97, -36, -55, -85, -30, -4]
  Compare -36 and -55
  Swap -36 and -55
  List after swap: [-88, -97, -55, -36, -85, -30, -4]
  Compare -36 and -85
  Swap -36 and -85
  List after swap: [-88, -97, -55, -85, -36, -30, -4]
  Compare -36 and -30
  No swap needed

Pass 3:
  Compare -88 and -97
  Swap -88 and -97
  List after swap: [-97, -88, -55, -85, -36, -30, -4]
  Compare -88 and -55
  No swap needed
  Compare -55 and -85
  Swap -55 and -85
  List after swap: [-97, -88, -85, -55, -36, -30, -4]
  Compare -55 and -36
  No swap needed

Pass 4:
  Compare -97 and -88
  No swap needed
  Compare -88 and -85
  No swap needed
  Compare -85 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -88, -85, -55, -36, -30, -4]
</think>

<response>-97, -88, -85, -55, -36, -30, -4</response>


input: Carry out the bubble sort algorithm on -87, -84, -46, 27, 96, -64 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-87, -84, -46, 27, 96, -64]

Pass 1:
  Compare -87 and -84
  No swap needed
  Compare -84 and -46
  No swap needed
  Compare -46 and 27
  No swap needed
  Compare 27 and 96
  No swap needed
  Compare 96 and -64
  Swap 96 and -64
  List after swap: [-87, -84, -46, 27, -64, 96]

Pass 2:
  Compare -87 and -84
  No swap needed
  Compare -84 and -46
  No swap needed
  Compare -46 and 27
  No swap needed
  Compare 27 and -64
  Swap 27 and -64
  List after swap: [-87, -84, -46, -64, 27, 96]

Pass 3:
  Compare -87 and -84
  No swap needed
  Compare -84 and -46
  No swap needed
  Compare -46 and -64
  Swap -46 and -64
  List after swap: [-87, -84, -64, -46, 27, 96]

Pass 4:
  Compare -87 and -84
  No swap needed
  Compare -84 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -84, -64, -46, 27, 96]
</think>

<response>-87, -84, -64, -46, 27, 96</response>


input: Execute bubble sort to sort -90, 88, 22, -49, 80, -16, 52 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-90, 88, 22, -49, 80, -16, 52]

Pass 1:
  Compare -90 and 88
  No swap needed
  Compare 88 and 22
  Swap 88 and 22
  List after swap: [-90, 22, 88, -49, 80, -16, 52]
  Compare 88 and -49
  Swap 88 and -49
  List after swap: [-90, 22, -49, 88, 80, -16, 52]
  Compare 88 and 80
  Swap 88 and 80
  List after swap: [-90, 22, -49, 80, 88, -16, 52]
  Compare 88 and -16
  Swap 88 and -16
  List after swap: [-90, 22, -49, 80, -16, 88, 52]
  Compare 88 and 52
  Swap 88 and 52
  List after swap: [-90, 22, -49, 80, -16, 52, 88]

Pass 2:
  Compare -90 and 22
  No swap needed
  Compare 22 and -49
  Swap 22 and -49
  List after swap: [-90, -49, 22, 80, -16, 52, 88]
  Compare 22 and 80
  No swap needed
  Compare 80 and -16
  Swap 80 and -16
  List after swap: [-90, -49, 22, -16, 80, 52, 88]
  Compare 80 and 52
  Swap 80 and 52
  List after swap: [-90, -49, 22, -16, 52, 80, 88]

Pass 3:
  Compare -90 and -49
  No swap needed
  Compare -49 and 22
  No swap needed
  Compare 22 and -16
  Swap 22 and -16
  List after swap: [-90, -49, -16, 22, 52, 80, 88]
  Compare 22 and 52
  No swap needed

Pass 4:
  Compare -90 and -49
  No swap needed
  Compare -49 and -16
  No swap needed
  Compare -16 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -49, -16, 22, 52, 80, 88]
</think>

<response>-90, -49, -16, 22, 52, 80, 88</response>


input: Execute bubble sort to sort 91, 12, 74, -54, 82, 58, 55, 42 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [91, 12, 74, -54, 82, 58, 55, 42]

Pass 1:
  Compare 91 and 12
  Swap 91 and 12
  List after swap: [12, 91, 74, -54, 82, 58, 55, 42]
  Compare 91 and 74
  Swap 91 and 74
  List after swap: [12, 74, 91, -54, 82, 58, 55, 42]
  Compare 91 and -54
  Swap 91 and -54
  List after swap: [12, 74, -54, 91, 82, 58, 55, 42]
  Compare 91 and 82
  Swap 91 and 82
  List after swap: [12, 74, -54, 82, 91, 58, 55, 42]
  Compare 91 and 58
  Swap 91 and 58
  List after swap: [12, 74, -54, 82, 58, 91, 55, 42]
  Compare 91 and 55
  Swap 91 and 55
  List after swap: [12, 74, -54, 82, 58, 55, 91, 42]
  Compare 91 and 42
  Swap 91 and 42
  List after swap: [12, 74, -54, 82, 58, 55, 42, 91]

Pass 2:
  Compare 12 and 74
  No swap needed
  Compare 74 and -54
  Swap 74 and -54
  List after swap: [12, -54, 74, 82, 58, 55, 42, 91]
  Compare 74 and 82
  No swap needed
  Compare 82 and 58
  Swap 82 and 58
  List after swap: [12, -54, 74, 58, 82, 55, 42, 91]
  Compare 82 and 55
  Swap 82 and 55
  List after swap: [12, -54, 74, 58, 55, 82, 42, 91]
  Compare 82 and 42
  Swap 82 and 42
  List after swap: [12, -54, 74, 58, 55, 42, 82, 91]

Pass 3:
  Compare 12 and -54
  Swap 12 and -54
  List after swap: [-54, 12, 74, 58, 55, 42, 82, 91]
  Compare 12 and 74
  No swap needed
  Compare 74 and 58
  Swap 74 and 58
  List after swap: [-54, 12, 58, 74, 55, 42, 82, 91]
  Compare 74 and 55
  Swap 74 and 55
  List after swap: [-54, 12, 58, 55, 74, 42, 82, 91]
  Compare 74 and 42
  Swap 74 and 42
  List after swap: [-54, 12, 58, 55, 42, 74, 82, 91]

Pass 4:
  Compare -54 and 12
  No swap needed
  Compare 12 and 58
  No swap needed
  Compare 58 and 55
  Swap 58 and 55
  List after swap: [-54, 12, 55, 58, 42, 74, 82, 91]
  Compare 58 and 42
  Swap 58 and 42
  List after swap: [-54, 12, 55, 42, 58, 74, 82, 91]

Pass 5:
  Compare -54 and 12
  No swap needed
  Compare 12 and 55
  No swap needed
  Compare 55 and 42
  Swap 55 and 42
  List after swap: [-54, 12, 42, 55, 58, 74, 82, 91]

Pass 6:
  Compare -54 and 12
  No swap needed
  Compare 12 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, 12, 42, 55, 58, 74, 82, 91]
</think>

<response>-54, 12, 42, 55, 58, 74, 82, 91</response>


input: Using the bubble sort method, sort 76, -96, 24 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [76, -96, 24]

Pass 1:
  Compare 76 and -96
  Swap 76 and -96
  List after swap: [-96, 76, 24]
  Compare 76 and 24
  Swap 76 and 24
  List after swap: [-96, 24, 76]

Pass 2:
  Compare -96 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, 24, 76]
</think>

<response>-96, 24, 76</response>


input: Execute bubble sort to sort -52, 20, 89 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-52, 20, 89]

Pass 1:
  Compare -52 and 20
  No swap needed
  Compare 20 and 89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, 20, 89]
</think>

<response>-52, 20, 89</response>


input: Sort the list -80, 59, 8, 50, -56, 54 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-80, 59, 8, 50, -56, 54]

Pass 1:
  Compare -80 and 59
  No swap needed
  Compare 59 and 8
  Swap 59 and 8
  List after swap: [-80, 8, 59, 50, -56, 54]
  Compare 59 and 50
  Swap 59 and 50
  List after swap: [-80, 8, 50, 59, -56, 54]
  Compare 59 and -56
  Swap 59 and -56
  List after swap: [-80, 8, 50, -56, 59, 54]
  Compare 59 and 54
  Swap 59 and 54
  List after swap: [-80, 8, 50, -56, 54, 59]

Pass 2:
  Compare -80 and 8
  No swap needed
  Compare 8 and 50
  No swap needed
  Compare 50 and -56
  Swap 50 and -56
  List after swap: [-80, 8, -56, 50, 54, 59]
  Compare 50 and 54
  No swap needed

Pass 3:
  Compare -80 and 8
  No swap needed
  Compare 8 and -56
  Swap 8 and -56
  List after swap: [-80, -56, 8, 50, 54, 59]
  Compare 8 and 50
  No swap needed

Pass 4:
  Compare -80 and -56
  No swap needed
  Compare -56 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -56, 8, 50, 54, 59]
</think>

<response>-80, -56, 8, 50, 54, 59</response>


input: Implement bubble sort on -47, 68, -84, 30, -37, 95, 16, -9, 32 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-47, 68, -84, 30, -37, 95, 16, -9, 32]

Pass 1:
  Compare -47 and 68
  No swap needed
  Compare 68 and -84
  Swap 68 and -84
  List after swap: [-47, -84, 68, 30, -37, 95, 16, -9, 32]
  Compare 68 and 30
  Swap 68 and 30
  List after swap: [-47, -84, 30, 68, -37, 95, 16, -9, 32]
  Compare 68 and -37
  Swap 68 and -37
  List after swap: [-47, -84, 30, -37, 68, 95, 16, -9, 32]
  Compare 68 and 95
  No swap needed
  Compare 95 and 16
  Swap 95 and 16
  List after swap: [-47, -84, 30, -37, 68, 16, 95, -9, 32]
  Compare 95 and -9
  Swap 95 and -9
  List after swap: [-47, -84, 30, -37, 68, 16, -9, 95, 32]
  Compare 95 and 32
  Swap 95 and 32
  List after swap: [-47, -84, 30, -37, 68, 16, -9, 32, 95]

Pass 2:
  Compare -47 and -84
  Swap -47 and -84
  List after swap: [-84, -47, 30, -37, 68, 16, -9, 32, 95]
  Compare -47 and 30
  No swap needed
  Compare 30 and -37
  Swap 30 and -37
  List after swap: [-84, -47, -37, 30, 68, 16, -9, 32, 95]
  Compare 30 and 68
  No swap needed
  Compare 68 and 16
  Swap 68 and 16
  List after swap: [-84, -47, -37, 30, 16, 68, -9, 32, 95]
  Compare 68 and -9
  Swap 68 and -9
  List after swap: [-84, -47, -37, 30, 16, -9, 68, 32, 95]
  Compare 68 and 32
  Swap 68 and 32
  List after swap: [-84, -47, -37, 30, 16, -9, 32, 68, 95]

Pass 3:
  Compare -84 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and 30
  No swap needed
  Compare 30 and 16
  Swap 30 and 16
  List after swap: [-84, -47, -37, 16, 30, -9, 32, 68, 95]
  Compare 30 and -9
  Swap 30 and -9
  List after swap: [-84, -47, -37, 16, -9, 30, 32, 68, 95]
  Compare 30 and 32
  No swap needed

Pass 4:
  Compare -84 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and 16
  No swap needed
  Compare 16 and -9
  Swap 16 and -9
  List after swap: [-84, -47, -37, -9, 16, 30, 32, 68, 95]
  Compare 16 and 30
  No swap needed

Pass 5:
  Compare -84 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and -9
  No swap needed
  Compare -9 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -47, -37, -9, 16, 30, 32, 68, 95]
</think>

<response>-84, -47, -37, -9, 16, 30, 32, 68, 95</response>


input: Arrange the numbers 78, 31, 69 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [78, 31, 69]

Pass 1:
  Compare 78 and 31
  Swap 78 and 31
  List after swap: [31, 78, 69]
  Compare 78 and 69
  Swap 78 and 69
  List after swap: [31, 69, 78]

Pass 2:
  Compare 31 and 69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [31, 69, 78]
</think>

<response>31, 69, 78</response>


input: Execute bubble sort to sort 78, 91, 37, -49, -64, -92, 66, 20, 57, -66 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [78, 91, 37, -49, -64, -92, 66, 20, 57, -66]

Pass 1:
  Compare 78 and 91
  No swap needed
  Compare 91 and 37
  Swap 91 and 37
  List after swap: [78, 37, 91, -49, -64, -92, 66, 20, 57, -66]
  Compare 91 and -49
  Swap 91 and -49
  List after swap: [78, 37, -49, 91, -64, -92, 66, 20, 57, -66]
  Compare 91 and -64
  Swap 91 and -64
  List after swap: [78, 37, -49, -64, 91, -92, 66, 20, 57, -66]
  Compare 91 and -92
  Swap 91 and -92
  List after swap: [78, 37, -49, -64, -92, 91, 66, 20, 57, -66]
  Compare 91 and 66
  Swap 91 and 66
  List after swap: [78, 37, -49, -64, -92, 66, 91, 20, 57, -66]
  Compare 91 and 20
  Swap 91 and 20
  List after swap: [78, 37, -49, -64, -92, 66, 20, 91, 57, -66]
  Compare 91 and 57
  Swap 91 and 57
  List after swap: [78, 37, -49, -64, -92, 66, 20, 57, 91, -66]
  Compare 91 and -66
  Swap 91 and -66
  List after swap: [78, 37, -49, -64, -92, 66, 20, 57, -66, 91]

Pass 2:
  Compare 78 and 37
  Swap 78 and 37
  List after swap: [37, 78, -49, -64, -92, 66, 20, 57, -66, 91]
  Compare 78 and -49
  Swap 78 and -49
  List after swap: [37, -49, 78, -64, -92, 66, 20, 57, -66, 91]
  Compare 78 and -64
  Swap 78 and -64
  List after swap: [37, -49, -64, 78, -92, 66, 20, 57, -66, 91]
  Compare 78 and -92
  Swap 78 and -92
  List after swap: [37, -49, -64, -92, 78, 66, 20, 57, -66, 91]
  Compare 78 and 66
  Swap 78 and 66
  List after swap: [37, -49, -64, -92, 66, 78, 20, 57, -66, 91]
  Compare 78 and 20
  Swap 78 and 20
  List after swap: [37, -49, -64, -92, 66, 20, 78, 57, -66, 91]
  Compare 78 and 57
  Swap 78 and 57
  List after swap: [37, -49, -64, -92, 66, 20, 57, 78, -66, 91]
  Compare 78 and -66
  Swap 78 and -66
  List after swap: [37, -49, -64, -92, 66, 20, 57, -66, 78, 91]

Pass 3:
  Compare 37 and -49
  Swap 37 and -49
  List after swap: [-49, 37, -64, -92, 66, 20, 57, -66, 78, 91]
  Compare 37 and -64
  Swap 37 and -64
  List after swap: [-49, -64, 37, -92, 66, 20, 57, -66, 78, 91]
  Compare 37 and -92
  Swap 37 and -92
  List after swap: [-49, -64, -92, 37, 66, 20, 57, -66, 78, 91]
  Compare 37 and 66
  No swap needed
  Compare 66 and 20
  Swap 66 and 20
  List after swap: [-49, -64, -92, 37, 20, 66, 57, -66, 78, 91]
  Compare 66 and 57
  Swap 66 and 57
  List after swap: [-49, -64, -92, 37, 20, 57, 66, -66, 78, 91]
  Compare 66 and -66
  Swap 66 and -66
  List after swap: [-49, -64, -92, 37, 20, 57, -66, 66, 78, 91]

Pass 4:
  Compare -49 and -64
  Swap -49 and -64
  List after swap: [-64, -49, -92, 37, 20, 57, -66, 66, 78, 91]
  Compare -49 and -92
  Swap -49 and -92
  List after swap: [-64, -92, -49, 37, 20, 57, -66, 66, 78, 91]
  Compare -49 and 37
  No swap needed
  Compare 37 and 20
  Swap 37 and 20
  List after swap: [-64, -92, -49, 20, 37, 57, -66, 66, 78, 91]
  Compare 37 and 57
  No swap needed
  Compare 57 and -66
  Swap 57 and -66
  List after swap: [-64, -92, -49, 20, 37, -66, 57, 66, 78, 91]

Pass 5:
  Compare -64 and -92
  Swap -64 and -92
  List after swap: [-92, -64, -49, 20, 37, -66, 57, 66, 78, 91]
  Compare -64 and -49
  No swap needed
  Compare -49 and 20
  No swap needed
  Compare 20 and 37
  No swap needed
  Compare 37 and -66
  Swap 37 and -66
  List after swap: [-92, -64, -49, 20, -66, 37, 57, 66, 78, 91]

Pass 6:
  Compare -92 and -64
  No swap needed
  Compare -64 and -49
  No swap needed
  Compare -49 and 20
  No swap needed
  Compare 20 and -66
  Swap 20 and -66
  List after swap: [-92, -64, -49, -66, 20, 37, 57, 66, 78, 91]

Pass 7:
  Compare -92 and -64
  No swap needed
  Compare -64 and -49
  No swap needed
  Compare -49 and -66
  Swap -49 and -66
  List after swap: [-92, -64, -66, -49, 20, 37, 57, 66, 78, 91]

Pass 8:
  Compare -92 and -64
  No swap needed
  Compare -64 and -66
  Swap -64 and -66
  List after swap: [-92, -66, -64, -49, 20, 37, 57, 66, 78, 91]

Pass 9:
  Compare -92 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -66, -64, -49, 20, 37, 57, 66, 78, 91]
</think>

<response>-92, -66, -64, -49, 20, 37, 57, 66, 78, 91</response>


input: Arrange the numbers -78, 17, 93 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-78, 17, 93]

Pass 1:
  Compare -78 and 17
  No swap needed
  Compare 17 and 93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 17, 93]
</think>

<response>-78, 17, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -63, 38, -59, -98, 19.

output:
<think>
Initial list: [-63, 38, -59, -98, 19]

Pass 1:
  Compare -63 and 38
  No swap needed
  Compare 38 and -59
  Swap 38 and -59
  List after swap: [-63, -59, 38, -98, 19]
  Compare 38 and -98
  Swap 38 and -98
  List after swap: [-63, -59, -98, 38, 19]
  Compare 38 and 19
  Swap 38 and 19
  List after swap: [-63, -59, -98, 19, 38]

Pass 2:
  Compare -63 and -59
  No swap needed
  Compare -59 and -98
  Swap -59 and -98
  List after swap: [-63, -98, -59, 19, 38]
  Compare -59 and 19
  No swap needed

Pass 3:
  Compare -63 and -98
  Swap -63 and -98
  List after swap: [-98, -63, -59, 19, 38]
  Compare -63 and -59
  No swap needed

Pass 4:
  Compare -98 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -63, -59, 19, 38]
</think>

<response>-98, -63, -59, 19, 38</response>


input: Carry out the bubble sort algorithm on -1, -44, -16 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-1, -44, -16]

Pass 1:
  Compare -1 and -44
  Swap -1 and -44
  List after swap: [-44, -1, -16]
  Compare -1 and -16
  Swap -1 and -16
  List after swap: [-44, -16, -1]

Pass 2:
  Compare -44 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, -16, -1]
</think>

<response>-44, -16, -1</response>


input: Arrange the numbers 77, 62, -37, 36, -3, 83, 53, 7, -64, 85 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [77, 62, -37, 36, -3, 83, 53, 7, -64, 85]

Pass 1:
  Compare 77 and 62
  Swap 77 and 62
  List after swap: [62, 77, -37, 36, -3, 83, 53, 7, -64, 85]
  Compare 77 and -37
  Swap 77 and -37
  List after swap: [62, -37, 77, 36, -3, 83, 53, 7, -64, 85]
  Compare 77 and 36
  Swap 77 and 36
  List after swap: [62, -37, 36, 77, -3, 83, 53, 7, -64, 85]
  Compare 77 and -3
  Swap 77 and -3
  List after swap: [62, -37, 36, -3, 77, 83, 53, 7, -64, 85]
  Compare 77 and 83
  No swap needed
  Compare 83 and 53
  Swap 83 and 53
  List after swap: [62, -37, 36, -3, 77, 53, 83, 7, -64, 85]
  Compare 83 and 7
  Swap 83 and 7
  List after swap: [62, -37, 36, -3, 77, 53, 7, 83, -64, 85]
  Compare 83 and -64
  Swap 83 and -64
  List after swap: [62, -37, 36, -3, 77, 53, 7, -64, 83, 85]
  Compare 83 and 85
  No swap needed

Pass 2:
  Compare 62 and -37
  Swap 62 and -37
  List after swap: [-37, 62, 36, -3, 77, 53, 7, -64, 83, 85]
  Compare 62 and 36
  Swap 62 and 36
  List after swap: [-37, 36, 62, -3, 77, 53, 7, -64, 83, 85]
  Compare 62 and -3
  Swap 62 and -3
  List after swap: [-37, 36, -3, 62, 77, 53, 7, -64, 83, 85]
  Compare 62 and 77
  No swap needed
  Compare 77 and 53
  Swap 77 and 53
  List after swap: [-37, 36, -3, 62, 53, 77, 7, -64, 83, 85]
  Compare 77 and 7
  Swap 77 and 7
  List after swap: [-37, 36, -3, 62, 53, 7, 77, -64, 83, 85]
  Compare 77 and -64
  Swap 77 and -64
  List after swap: [-37, 36, -3, 62, 53, 7, -64, 77, 83, 85]
  Compare 77 and 83
  No swap needed

Pass 3:
  Compare -37 and 36
  No swap needed
  Compare 36 and -3
  Swap 36 and -3
  List after swap: [-37, -3, 36, 62, 53, 7, -64, 77, 83, 85]
  Compare 36 and 62
  No swap needed
  Compare 62 and 53
  Swap 62 and 53
  List after swap: [-37, -3, 36, 53, 62, 7, -64, 77, 83, 85]
  Compare 62 and 7
  Swap 62 and 7
  List after swap: [-37, -3, 36, 53, 7, 62, -64, 77, 83, 85]
  Compare 62 and -64
  Swap 62 and -64
  List after swap: [-37, -3, 36, 53, 7, -64, 62, 77, 83, 85]
  Compare 62 and 77
  No swap needed

Pass 4:
  Compare -37 and -3
  No swap needed
  Compare -3 and 36
  No swap needed
  Compare 36 and 53
  No swap needed
  Compare 53 and 7
  Swap 53 and 7
  List after swap: [-37, -3, 36, 7, 53, -64, 62, 77, 83, 85]
  Compare 53 and -64
  Swap 53 and -64
  List after swap: [-37, -3, 36, 7, -64, 53, 62, 77, 83, 85]
  Compare 53 and 62
  No swap needed

Pass 5:
  Compare -37 and -3
  No swap needed
  Compare -3 and 36
  No swap needed
  Compare 36 and 7
  Swap 36 and 7
  List after swap: [-37, -3, 7, 36, -64, 53, 62, 77, 83, 85]
  Compare 36 and -64
  Swap 36 and -64
  List after swap: [-37, -3, 7, -64, 36, 53, 62, 77, 83, 85]
  Compare 36 and 53
  No swap needed

Pass 6:
  Compare -37 and -3
  No swap needed
  Compare -3 and 7
  No swap needed
  Compare 7 and -64
  Swap 7 and -64
  List after swap: [-37, -3, -64, 7, 36, 53, 62, 77, 83, 85]
  Compare 7 and 36
  No swap needed

Pass 7:
  Compare -37 and -3
  No swap needed
  Compare -3 and -64
  Swap -3 and -64
  List after swap: [-37, -64, -3, 7, 36, 53, 62, 77, 83, 85]
  Compare -3 and 7
  No swap needed

Pass 8:
  Compare -37 and -64
  Swap -37 and -64
  List after swap: [-64, -37, -3, 7, 36, 53, 62, 77, 83, 85]
  Compare -37 and -3
  No swap needed

Pass 9:
  Compare -64 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -37, -3, 7, 36, 53, 62, 77, 83, 85]
</think>

<response>-64, -37, -3, 7, 36, 53, 62, 77, 83, 85</response>


input: Carry out the bubble sort algorithm on 8, -31, -9, -22, 21, 19, 40, 14, -25 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [8, -31, -9, -22, 21, 19, 40, 14, -25]

Pass 1:
  Compare 8 and -31
  Swap 8 and -31
  List after swap: [-31, 8, -9, -22, 21, 19, 40, 14, -25]
  Compare 8 and -9
  Swap 8 and -9
  List after swap: [-31, -9, 8, -22, 21, 19, 40, 14, -25]
  Compare 8 and -22
  Swap 8 and -22
  List after swap: [-31, -9, -22, 8, 21, 19, 40, 14, -25]
  Compare 8 and 21
  No swap needed
  Compare 21 and 19
  Swap 21 and 19
  List after swap: [-31, -9, -22, 8, 19, 21, 40, 14, -25]
  Compare 21 and 40
  No swap needed
  Compare 40 and 14
  Swap 40 and 14
  List after swap: [-31, -9, -22, 8, 19, 21, 14, 40, -25]
  Compare 40 and -25
  Swap 40 and -25
  List after swap: [-31, -9, -22, 8, 19, 21, 14, -25, 40]

Pass 2:
  Compare -31 and -9
  No swap needed
  Compare -9 and -22
  Swap -9 and -22
  List after swap: [-31, -22, -9, 8, 19, 21, 14, -25, 40]
  Compare -9 and 8
  No swap needed
  Compare 8 and 19
  No swap needed
  Compare 19 and 21
  No swap needed
  Compare 21 and 14
  Swap 21 and 14
  List after swap: [-31, -22, -9, 8, 19, 14, 21, -25, 40]
  Compare 21 and -25
  Swap 21 and -25
  List after swap: [-31, -22, -9, 8, 19, 14, -25, 21, 40]

Pass 3:
  Compare -31 and -22
  No swap needed
  Compare -22 and -9
  No swap needed
  Compare -9 and 8
  No swap needed
  Compare 8 and 19
  No swap needed
  Compare 19 and 14
  Swap 19 and 14
  List after swap: [-31, -22, -9, 8, 14, 19, -25, 21, 40]
  Compare 19 and -25
  Swap 19 and -25
  List after swap: [-31, -22, -9, 8, 14, -25, 19, 21, 40]

Pass 4:
  Compare -31 and -22
  No swap needed
  Compare -22 and -9
  No swap needed
  Compare -9 and 8
  No swap needed
  Compare 8 and 14
  No swap needed
  Compare 14 and -25
  Swap 14 and -25
  List after swap: [-31, -22, -9, 8, -25, 14, 19, 21, 40]

Pass 5:
  Compare -31 and -22
  No swap needed
  Compare -22 and -9
  No swap needed
  Compare -9 and 8
  No swap needed
  Compare 8 and -25
  Swap 8 and -25
  List after swap: [-31, -22, -9, -25, 8, 14, 19, 21, 40]

Pass 6:
  Compare -31 and -22
  No swap needed
  Compare -22 and -9
  No swap needed
  Compare -9 and -25
  Swap -9 and -25
  List after swap: [-31, -22, -25, -9, 8, 14, 19, 21, 40]

Pass 7:
  Compare -31 and -22
  No swap needed
  Compare -22 and -25
  Swap -22 and -25
  List after swap: [-31, -25, -22, -9, 8, 14, 19, 21, 40]

Pass 8:
  Compare -31 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -25, -22, -9, 8, 14, 19, 21, 40]
</think>

<response>-31, -25, -22, -9, 8, 14, 19, 21, 40</response>


input: Sort the list -73, -48, -50, -46, -33 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-73, -48, -50, -46, -33]

Pass 1:
  Compare -73 and -48
  No swap needed
  Compare -48 and -50
  Swap -48 and -50
  List after swap: [-73, -50, -48, -46, -33]
  Compare -48 and -46
  No swap needed
  Compare -46 and -33
  No swap needed

Pass 2:
  Compare -73 and -50
  No swap needed
  Compare -50 and -48
  No swap needed
  Compare -48 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -50, -48, -46, -33]
</think>

<response>-73, -50, -48, -46, -33</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -14, 72, -58, 3, -88, -50, 52.

output:
<think>
Initial list: [-14, 72, -58, 3, -88, -50, 52]

Pass 1:
  Compare -14 and 72
  No swap needed
  Compare 72 and -58
  Swap 72 and -58
  List after swap: [-14, -58, 72, 3, -88, -50, 52]
  Compare 72 and 3
  Swap 72 and 3
  List after swap: [-14, -58, 3, 72, -88, -50, 52]
  Compare 72 and -88
  Swap 72 and -88
  List after swap: [-14, -58, 3, -88, 72, -50, 52]
  Compare 72 and -50
  Swap 72 and -50
  List after swap: [-14, -58, 3, -88, -50, 72, 52]
  Compare 72 and 52
  Swap 72 and 52
  List after swap: [-14, -58, 3, -88, -50, 52, 72]

Pass 2:
  Compare -14 and -58
  Swap -14 and -58
  List after swap: [-58, -14, 3, -88, -50, 52, 72]
  Compare -14 and 3
  No swap needed
  Compare 3 and -88
  Swap 3 and -88
  List after swap: [-58, -14, -88, 3, -50, 52, 72]
  Compare 3 and -50
  Swap 3 and -50
  List after swap: [-58, -14, -88, -50, 3, 52, 72]
  Compare 3 and 52
  No swap needed

Pass 3:
  Compare -58 and -14
  No swap needed
  Compare -14 and -88
  Swap -14 and -88
  List after swap: [-58, -88, -14, -50, 3, 52, 72]
  Compare -14 and -50
  Swap -14 and -50
  List after swap: [-58, -88, -50, -14, 3, 52, 72]
  Compare -14 and 3
  No swap needed

Pass 4:
  Compare -58 and -88
  Swap -58 and -88
  List after swap: [-88, -58, -50, -14, 3, 52, 72]
  Compare -58 and -50
  No swap needed
  Compare -50 and -14
  No swap needed

Pass 5:
  Compare -88 and -58
  No swap needed
  Compare -58 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -58, -50, -14, 3, 52, 72]
</think>

<response>-88, -58, -50, -14, 3, 52, 72</response>


input: Implement bubble sort on 37, -42 to achieve ascending order, writing out each step in detail.

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

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

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

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

<response>-42, 37</response>


input: Arrange the numbers 87, -83, -18, 16 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [87, -83, -18, 16]

Pass 1:
  Compare 87 and -83
  Swap 87 and -83
  List after swap: [-83, 87, -18, 16]
  Compare 87 and -18
  Swap 87 and -18
  List after swap: [-83, -18, 87, 16]
  Compare 87 and 16
  Swap 87 and 16
  List after swap: [-83, -18, 16, 87]

Pass 2:
  Compare -83 and -18
  No swap needed
  Compare -18 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -18, 16, 87]
</think>

<response>-83, -18, 16, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -2, 80, 76.

output:
<think>
Initial list: [-2, 80, 76]

Pass 1:
  Compare -2 and 80
  No swap needed
  Compare 80 and 76
  Swap 80 and 76
  List after swap: [-2, 76, 80]

Pass 2:
  Compare -2 and 76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-2, 76, 80]
</think>

<response>-2, 76, 80</response>


input: Carry out the bubble sort algorithm on -22, -54, 86 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-22, -54, 86]

Pass 1:
  Compare -22 and -54
  Swap -22 and -54
  List after swap: [-54, -22, 86]
  Compare -22 and 86
  No swap needed

Pass 2:
  Compare -54 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -22, 86]
</think>

<response>-54, -22, 86</response>


input: Using the bubble sort method, sort -62, 93, -90, -93, 15, 16, 27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-62, 93, -90, -93, 15, 16, 27]

Pass 1:
  Compare -62 and 93
  No swap needed
  Compare 93 and -90
  Swap 93 and -90
  List after swap: [-62, -90, 93, -93, 15, 16, 27]
  Compare 93 and -93
  Swap 93 and -93
  List after swap: [-62, -90, -93, 93, 15, 16, 27]
  Compare 93 and 15
  Swap 93 and 15
  List after swap: [-62, -90, -93, 15, 93, 16, 27]
  Compare 93 and 16
  Swap 93 and 16
  List after swap: [-62, -90, -93, 15, 16, 93, 27]
  Compare 93 and 27
  Swap 93 and 27
  List after swap: [-62, -90, -93, 15, 16, 27, 93]

Pass 2:
  Compare -62 and -90
  Swap -62 and -90
  List after swap: [-90, -62, -93, 15, 16, 27, 93]
  Compare -62 and -93
  Swap -62 and -93
  List after swap: [-90, -93, -62, 15, 16, 27, 93]
  Compare -62 and 15
  No swap needed
  Compare 15 and 16
  No swap needed
  Compare 16 and 27
  No swap needed

Pass 3:
  Compare -90 and -93
  Swap -90 and -93
  List after swap: [-93, -90, -62, 15, 16, 27, 93]
  Compare -90 and -62
  No swap needed
  Compare -62 and 15
  No swap needed
  Compare 15 and 16
  No swap needed

Pass 4:
  Compare -93 and -90
  No swap needed
  Compare -90 and -62
  No swap needed
  Compare -62 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -90, -62, 15, 16, 27, 93]
</think>

<response>-93, -90, -62, 15, 16, 27, 93</response>


input: Demonstrate how bubble sort orders the integers -9, 50, -72, -88, 82, 78 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-9, 50, -72, -88, 82, 78]

Pass 1:
  Compare -9 and 50
  No swap needed
  Compare 50 and -72
  Swap 50 and -72
  List after swap: [-9, -72, 50, -88, 82, 78]
  Compare 50 and -88
  Swap 50 and -88
  List after swap: [-9, -72, -88, 50, 82, 78]
  Compare 50 and 82
  No swap needed
  Compare 82 and 78
  Swap 82 and 78
  List after swap: [-9, -72, -88, 50, 78, 82]

Pass 2:
  Compare -9 and -72
  Swap -9 and -72
  List after swap: [-72, -9, -88, 50, 78, 82]
  Compare -9 and -88
  Swap -9 and -88
  List after swap: [-72, -88, -9, 50, 78, 82]
  Compare -9 and 50
  No swap needed
  Compare 50 and 78
  No swap needed

Pass 3:
  Compare -72 and -88
  Swap -72 and -88
  List after swap: [-88, -72, -9, 50, 78, 82]
  Compare -72 and -9
  No swap needed
  Compare -9 and 50
  No swap needed

Pass 4:
  Compare -88 and -72
  No swap needed
  Compare -72 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -72, -9, 50, 78, 82]
</think>

<response>-88, -72, -9, 50, 78, 82</response>


input: Use the bubble sort technique to reorder 9, -90, 61, -15 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [9, -90, 61, -15]

Pass 1:
  Compare 9 and -90
  Swap 9 and -90
  List after swap: [-90, 9, 61, -15]
  Compare 9 and 61
  No swap needed
  Compare 61 and -15
  Swap 61 and -15
  List after swap: [-90, 9, -15, 61]

Pass 2:
  Compare -90 and 9
  No swap needed
  Compare 9 and -15
  Swap 9 and -15
  List after swap: [-90, -15, 9, 61]

Pass 3:
  Compare -90 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -15, 9, 61]
</think>

<response>-90, -15, 9, 61</response>