input: Implement bubble sort on 44, 10, -10, -81, 69, -89, 86, -73 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [44, 10, -10, -81, 69, -89, 86, -73]

Pass 1:
  Compare 44 and 10
  Swap 44 and 10
  List after swap: [10, 44, -10, -81, 69, -89, 86, -73]
  Compare 44 and -10
  Swap 44 and -10
  List after swap: [10, -10, 44, -81, 69, -89, 86, -73]
  Compare 44 and -81
  Swap 44 and -81
  List after swap: [10, -10, -81, 44, 69, -89, 86, -73]
  Compare 44 and 69
  No swap needed
  Compare 69 and -89
  Swap 69 and -89
  List after swap: [10, -10, -81, 44, -89, 69, 86, -73]
  Compare 69 and 86
  No swap needed
  Compare 86 and -73
  Swap 86 and -73
  List after swap: [10, -10, -81, 44, -89, 69, -73, 86]

Pass 2:
  Compare 10 and -10
  Swap 10 and -10
  List after swap: [-10, 10, -81, 44, -89, 69, -73, 86]
  Compare 10 and -81
  Swap 10 and -81
  List after swap: [-10, -81, 10, 44, -89, 69, -73, 86]
  Compare 10 and 44
  No swap needed
  Compare 44 and -89
  Swap 44 and -89
  List after swap: [-10, -81, 10, -89, 44, 69, -73, 86]
  Compare 44 and 69
  No swap needed
  Compare 69 and -73
  Swap 69 and -73
  List after swap: [-10, -81, 10, -89, 44, -73, 69, 86]

Pass 3:
  Compare -10 and -81
  Swap -10 and -81
  List after swap: [-81, -10, 10, -89, 44, -73, 69, 86]
  Compare -10 and 10
  No swap needed
  Compare 10 and -89
  Swap 10 and -89
  List after swap: [-81, -10, -89, 10, 44, -73, 69, 86]
  Compare 10 and 44
  No swap needed
  Compare 44 and -73
  Swap 44 and -73
  List after swap: [-81, -10, -89, 10, -73, 44, 69, 86]

Pass 4:
  Compare -81 and -10
  No swap needed
  Compare -10 and -89
  Swap -10 and -89
  List after swap: [-81, -89, -10, 10, -73, 44, 69, 86]
  Compare -10 and 10
  No swap needed
  Compare 10 and -73
  Swap 10 and -73
  List after swap: [-81, -89, -10, -73, 10, 44, 69, 86]

Pass 5:
  Compare -81 and -89
  Swap -81 and -89
  List after swap: [-89, -81, -10, -73, 10, 44, 69, 86]
  Compare -81 and -10
  No swap needed
  Compare -10 and -73
  Swap -10 and -73
  List after swap: [-89, -81, -73, -10, 10, 44, 69, 86]

Pass 6:
  Compare -89 and -81
  No swap needed
  Compare -81 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -81, -73, -10, 10, 44, 69, 86]
</think>

<response>-89, -81, -73, -10, 10, 44, 69, 86</response>


input: Sort the list 83, 53, -1, -66, -12, -23 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [83, 53, -1, -66, -12, -23]

Pass 1:
  Compare 83 and 53
  Swap 83 and 53
  List after swap: [53, 83, -1, -66, -12, -23]
  Compare 83 and -1
  Swap 83 and -1
  List after swap: [53, -1, 83, -66, -12, -23]
  Compare 83 and -66
  Swap 83 and -66
  List after swap: [53, -1, -66, 83, -12, -23]
  Compare 83 and -12
  Swap 83 and -12
  List after swap: [53, -1, -66, -12, 83, -23]
  Compare 83 and -23
  Swap 83 and -23
  List after swap: [53, -1, -66, -12, -23, 83]

Pass 2:
  Compare 53 and -1
  Swap 53 and -1
  List after swap: [-1, 53, -66, -12, -23, 83]
  Compare 53 and -66
  Swap 53 and -66
  List after swap: [-1, -66, 53, -12, -23, 83]
  Compare 53 and -12
  Swap 53 and -12
  List after swap: [-1, -66, -12, 53, -23, 83]
  Compare 53 and -23
  Swap 53 and -23
  List after swap: [-1, -66, -12, -23, 53, 83]

Pass 3:
  Compare -1 and -66
  Swap -1 and -66
  List after swap: [-66, -1, -12, -23, 53, 83]
  Compare -1 and -12
  Swap -1 and -12
  List after swap: [-66, -12, -1, -23, 53, 83]
  Compare -1 and -23
  Swap -1 and -23
  List after swap: [-66, -12, -23, -1, 53, 83]

Pass 4:
  Compare -66 and -12
  No swap needed
  Compare -12 and -23
  Swap -12 and -23
  List after swap: [-66, -23, -12, -1, 53, 83]

Pass 5:
  Compare -66 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -23, -12, -1, 53, 83]
</think>

<response>-66, -23, -12, -1, 53, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 33, 29, -33, 97.

output:
<think>
Initial list: [33, 29, -33, 97]

Pass 1:
  Compare 33 and 29
  Swap 33 and 29
  List after swap: [29, 33, -33, 97]
  Compare 33 and -33
  Swap 33 and -33
  List after swap: [29, -33, 33, 97]
  Compare 33 and 97
  No swap needed

Pass 2:
  Compare 29 and -33
  Swap 29 and -33
  List after swap: [-33, 29, 33, 97]
  Compare 29 and 33
  No swap needed

Pass 3:
  Compare -33 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, 29, 33, 97]
</think>

<response>-33, 29, 33, 97</response>


input: Using the bubble sort method, sort -84, -92, 2, 71, 38 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-84, -92, 2, 71, 38]

Pass 1:
  Compare -84 and -92
  Swap -84 and -92
  List after swap: [-92, -84, 2, 71, 38]
  Compare -84 and 2
  No swap needed
  Compare 2 and 71
  No swap needed
  Compare 71 and 38
  Swap 71 and 38
  List after swap: [-92, -84, 2, 38, 71]

Pass 2:
  Compare -92 and -84
  No swap needed
  Compare -84 and 2
  No swap needed
  Compare 2 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -84, 2, 38, 71]
</think>

<response>-92, -84, 2, 38, 71</response>


input: Demonstrate how bubble sort orders the integers 96, 79, -49, -64 in ascending sequence, showing all steps.

output:
<think>
Initial list: [96, 79, -49, -64]

Pass 1:
  Compare 96 and 79
  Swap 96 and 79
  List after swap: [79, 96, -49, -64]
  Compare 96 and -49
  Swap 96 and -49
  List after swap: [79, -49, 96, -64]
  Compare 96 and -64
  Swap 96 and -64
  List after swap: [79, -49, -64, 96]

Pass 2:
  Compare 79 and -49
  Swap 79 and -49
  List after swap: [-49, 79, -64, 96]
  Compare 79 and -64
  Swap 79 and -64
  List after swap: [-49, -64, 79, 96]

Pass 3:
  Compare -49 and -64
  Swap -49 and -64
  List after swap: [-64, -49, 79, 96]

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

Final sorted list: [-64, -49, 79, 96]
</think>

<response>-64, -49, 79, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -8, 11.

output:
<think>
Initial list: [-8, 11]

Pass 1:
  Compare -8 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-8, 11]
</think>

<response>-8, 11</response>


input: Using the bubble sort method, sort 33, -30, 48, 89 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [33, -30, 48, 89]

Pass 1:
  Compare 33 and -30
  Swap 33 and -30
  List after swap: [-30, 33, 48, 89]
  Compare 33 and 48
  No swap needed
  Compare 48 and 89
  No swap needed

Pass 2:
  Compare -30 and 33
  No swap needed
  Compare 33 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, 33, 48, 89]
</think>

<response>-30, 33, 48, 89</response>


input: Execute bubble sort to sort 50, 45, -37, -50, -43, 43 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [50, 45, -37, -50, -43, 43]

Pass 1:
  Compare 50 and 45
  Swap 50 and 45
  List after swap: [45, 50, -37, -50, -43, 43]
  Compare 50 and -37
  Swap 50 and -37
  List after swap: [45, -37, 50, -50, -43, 43]
  Compare 50 and -50
  Swap 50 and -50
  List after swap: [45, -37, -50, 50, -43, 43]
  Compare 50 and -43
  Swap 50 and -43
  List after swap: [45, -37, -50, -43, 50, 43]
  Compare 50 and 43
  Swap 50 and 43
  List after swap: [45, -37, -50, -43, 43, 50]

Pass 2:
  Compare 45 and -37
  Swap 45 and -37
  List after swap: [-37, 45, -50, -43, 43, 50]
  Compare 45 and -50
  Swap 45 and -50
  List after swap: [-37, -50, 45, -43, 43, 50]
  Compare 45 and -43
  Swap 45 and -43
  List after swap: [-37, -50, -43, 45, 43, 50]
  Compare 45 and 43
  Swap 45 and 43
  List after swap: [-37, -50, -43, 43, 45, 50]

Pass 3:
  Compare -37 and -50
  Swap -37 and -50
  List after swap: [-50, -37, -43, 43, 45, 50]
  Compare -37 and -43
  Swap -37 and -43
  List after swap: [-50, -43, -37, 43, 45, 50]
  Compare -37 and 43
  No swap needed

Pass 4:
  Compare -50 and -43
  No swap needed
  Compare -43 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -43, -37, 43, 45, 50]
</think>

<response>-50, -43, -37, 43, 45, 50</response>


input: Perform a bubble sort on the integers -10, 36, -73, 96, 85, 77, -25, 81, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-10, 36, -73, 96, 85, 77, -25, 81]

Pass 1:
  Compare -10 and 36
  No swap needed
  Compare 36 and -73
  Swap 36 and -73
  List after swap: [-10, -73, 36, 96, 85, 77, -25, 81]
  Compare 36 and 96
  No swap needed
  Compare 96 and 85
  Swap 96 and 85
  List after swap: [-10, -73, 36, 85, 96, 77, -25, 81]
  Compare 96 and 77
  Swap 96 and 77
  List after swap: [-10, -73, 36, 85, 77, 96, -25, 81]
  Compare 96 and -25
  Swap 96 and -25
  List after swap: [-10, -73, 36, 85, 77, -25, 96, 81]
  Compare 96 and 81
  Swap 96 and 81
  List after swap: [-10, -73, 36, 85, 77, -25, 81, 96]

Pass 2:
  Compare -10 and -73
  Swap -10 and -73
  List after swap: [-73, -10, 36, 85, 77, -25, 81, 96]
  Compare -10 and 36
  No swap needed
  Compare 36 and 85
  No swap needed
  Compare 85 and 77
  Swap 85 and 77
  List after swap: [-73, -10, 36, 77, 85, -25, 81, 96]
  Compare 85 and -25
  Swap 85 and -25
  List after swap: [-73, -10, 36, 77, -25, 85, 81, 96]
  Compare 85 and 81
  Swap 85 and 81
  List after swap: [-73, -10, 36, 77, -25, 81, 85, 96]

Pass 3:
  Compare -73 and -10
  No swap needed
  Compare -10 and 36
  No swap needed
  Compare 36 and 77
  No swap needed
  Compare 77 and -25
  Swap 77 and -25
  List after swap: [-73, -10, 36, -25, 77, 81, 85, 96]
  Compare 77 and 81
  No swap needed

Pass 4:
  Compare -73 and -10
  No swap needed
  Compare -10 and 36
  No swap needed
  Compare 36 and -25
  Swap 36 and -25
  List after swap: [-73, -10, -25, 36, 77, 81, 85, 96]
  Compare 36 and 77
  No swap needed

Pass 5:
  Compare -73 and -10
  No swap needed
  Compare -10 and -25
  Swap -10 and -25
  List after swap: [-73, -25, -10, 36, 77, 81, 85, 96]
  Compare -10 and 36
  No swap needed

Pass 6:
  Compare -73 and -25
  No swap needed
  Compare -25 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -25, -10, 36, 77, 81, 85, 96]
</think>

<response>-73, -25, -10, 36, 77, 81, 85, 96</response>


input: Using the bubble sort method, sort -17, -62, 84, 21, -44, -76, -78, -73, -23, -81 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-17, -62, 84, 21, -44, -76, -78, -73, -23, -81]

Pass 1:
  Compare -17 and -62
  Swap -17 and -62
  List after swap: [-62, -17, 84, 21, -44, -76, -78, -73, -23, -81]
  Compare -17 and 84
  No swap needed
  Compare 84 and 21
  Swap 84 and 21
  List after swap: [-62, -17, 21, 84, -44, -76, -78, -73, -23, -81]
  Compare 84 and -44
  Swap 84 and -44
  List after swap: [-62, -17, 21, -44, 84, -76, -78, -73, -23, -81]
  Compare 84 and -76
  Swap 84 and -76
  List after swap: [-62, -17, 21, -44, -76, 84, -78, -73, -23, -81]
  Compare 84 and -78
  Swap 84 and -78
  List after swap: [-62, -17, 21, -44, -76, -78, 84, -73, -23, -81]
  Compare 84 and -73
  Swap 84 and -73
  List after swap: [-62, -17, 21, -44, -76, -78, -73, 84, -23, -81]
  Compare 84 and -23
  Swap 84 and -23
  List after swap: [-62, -17, 21, -44, -76, -78, -73, -23, 84, -81]
  Compare 84 and -81
  Swap 84 and -81
  List after swap: [-62, -17, 21, -44, -76, -78, -73, -23, -81, 84]

Pass 2:
  Compare -62 and -17
  No swap needed
  Compare -17 and 21
  No swap needed
  Compare 21 and -44
  Swap 21 and -44
  List after swap: [-62, -17, -44, 21, -76, -78, -73, -23, -81, 84]
  Compare 21 and -76
  Swap 21 and -76
  List after swap: [-62, -17, -44, -76, 21, -78, -73, -23, -81, 84]
  Compare 21 and -78
  Swap 21 and -78
  List after swap: [-62, -17, -44, -76, -78, 21, -73, -23, -81, 84]
  Compare 21 and -73
  Swap 21 and -73
  List after swap: [-62, -17, -44, -76, -78, -73, 21, -23, -81, 84]
  Compare 21 and -23
  Swap 21 and -23
  List after swap: [-62, -17, -44, -76, -78, -73, -23, 21, -81, 84]
  Compare 21 and -81
  Swap 21 and -81
  List after swap: [-62, -17, -44, -76, -78, -73, -23, -81, 21, 84]

Pass 3:
  Compare -62 and -17
  No swap needed
  Compare -17 and -44
  Swap -17 and -44
  List after swap: [-62, -44, -17, -76, -78, -73, -23, -81, 21, 84]
  Compare -17 and -76
  Swap -17 and -76
  List after swap: [-62, -44, -76, -17, -78, -73, -23, -81, 21, 84]
  Compare -17 and -78
  Swap -17 and -78
  List after swap: [-62, -44, -76, -78, -17, -73, -23, -81, 21, 84]
  Compare -17 and -73
  Swap -17 and -73
  List after swap: [-62, -44, -76, -78, -73, -17, -23, -81, 21, 84]
  Compare -17 and -23
  Swap -17 and -23
  List after swap: [-62, -44, -76, -78, -73, -23, -17, -81, 21, 84]
  Compare -17 and -81
  Swap -17 and -81
  List after swap: [-62, -44, -76, -78, -73, -23, -81, -17, 21, 84]

Pass 4:
  Compare -62 and -44
  No swap needed
  Compare -44 and -76
  Swap -44 and -76
  List after swap: [-62, -76, -44, -78, -73, -23, -81, -17, 21, 84]
  Compare -44 and -78
  Swap -44 and -78
  List after swap: [-62, -76, -78, -44, -73, -23, -81, -17, 21, 84]
  Compare -44 and -73
  Swap -44 and -73
  List after swap: [-62, -76, -78, -73, -44, -23, -81, -17, 21, 84]
  Compare -44 and -23
  No swap needed
  Compare -23 and -81
  Swap -23 and -81
  List after swap: [-62, -76, -78, -73, -44, -81, -23, -17, 21, 84]

Pass 5:
  Compare -62 and -76
  Swap -62 and -76
  List after swap: [-76, -62, -78, -73, -44, -81, -23, -17, 21, 84]
  Compare -62 and -78
  Swap -62 and -78
  List after swap: [-76, -78, -62, -73, -44, -81, -23, -17, 21, 84]
  Compare -62 and -73
  Swap -62 and -73
  List after swap: [-76, -78, -73, -62, -44, -81, -23, -17, 21, 84]
  Compare -62 and -44
  No swap needed
  Compare -44 and -81
  Swap -44 and -81
  List after swap: [-76, -78, -73, -62, -81, -44, -23, -17, 21, 84]

Pass 6:
  Compare -76 and -78
  Swap -76 and -78
  List after swap: [-78, -76, -73, -62, -81, -44, -23, -17, 21, 84]
  Compare -76 and -73
  No swap needed
  Compare -73 and -62
  No swap needed
  Compare -62 and -81
  Swap -62 and -81
  List after swap: [-78, -76, -73, -81, -62, -44, -23, -17, 21, 84]

Pass 7:
  Compare -78 and -76
  No swap needed
  Compare -76 and -73
  No swap needed
  Compare -73 and -81
  Swap -73 and -81
  List after swap: [-78, -76, -81, -73, -62, -44, -23, -17, 21, 84]

Pass 8:
  Compare -78 and -76
  No swap needed
  Compare -76 and -81
  Swap -76 and -81
  List after swap: [-78, -81, -76, -73, -62, -44, -23, -17, 21, 84]

Pass 9:
  Compare -78 and -81
  Swap -78 and -81
  List after swap: [-81, -78, -76, -73, -62, -44, -23, -17, 21, 84]

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

Final sorted list: [-81, -78, -76, -73, -62, -44, -23, -17, 21, 84]
</think>

<response>-81, -78, -76, -73, -62, -44, -23, -17, 21, 84</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -44, -9, 60.

output:
<think>
Initial list: [-44, -9, 60]

Pass 1:
  Compare -44 and -9
  No swap needed
  Compare -9 and 60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, -9, 60]
</think>

<response>-44, -9, 60</response>


input: Implement bubble sort on -51, 21, -57, -50, 55, 25, -23, 75 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-51, 21, -57, -50, 55, 25, -23, 75]

Pass 1:
  Compare -51 and 21
  No swap needed
  Compare 21 and -57
  Swap 21 and -57
  List after swap: [-51, -57, 21, -50, 55, 25, -23, 75]
  Compare 21 and -50
  Swap 21 and -50
  List after swap: [-51, -57, -50, 21, 55, 25, -23, 75]
  Compare 21 and 55
  No swap needed
  Compare 55 and 25
  Swap 55 and 25
  List after swap: [-51, -57, -50, 21, 25, 55, -23, 75]
  Compare 55 and -23
  Swap 55 and -23
  List after swap: [-51, -57, -50, 21, 25, -23, 55, 75]
  Compare 55 and 75
  No swap needed

Pass 2:
  Compare -51 and -57
  Swap -51 and -57
  List after swap: [-57, -51, -50, 21, 25, -23, 55, 75]
  Compare -51 and -50
  No swap needed
  Compare -50 and 21
  No swap needed
  Compare 21 and 25
  No swap needed
  Compare 25 and -23
  Swap 25 and -23
  List after swap: [-57, -51, -50, 21, -23, 25, 55, 75]
  Compare 25 and 55
  No swap needed

Pass 3:
  Compare -57 and -51
  No swap needed
  Compare -51 and -50
  No swap needed
  Compare -50 and 21
  No swap needed
  Compare 21 and -23
  Swap 21 and -23
  List after swap: [-57, -51, -50, -23, 21, 25, 55, 75]
  Compare 21 and 25
  No swap needed

Pass 4:
  Compare -57 and -51
  No swap needed
  Compare -51 and -50
  No swap needed
  Compare -50 and -23
  No swap needed
  Compare -23 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -51, -50, -23, 21, 25, 55, 75]
</think>

<response>-57, -51, -50, -23, 21, 25, 55, 75</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -46, -2.

output:
<think>
Initial list: [-46, -2]

Pass 1:
  Compare -46 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -2]
</think>

<response>-46, -2</response>


input: Demonstrate how bubble sort orders the integers -36, -46, -86, -76, -67, -58 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-36, -46, -86, -76, -67, -58]

Pass 1:
  Compare -36 and -46
  Swap -36 and -46
  List after swap: [-46, -36, -86, -76, -67, -58]
  Compare -36 and -86
  Swap -36 and -86
  List after swap: [-46, -86, -36, -76, -67, -58]
  Compare -36 and -76
  Swap -36 and -76
  List after swap: [-46, -86, -76, -36, -67, -58]
  Compare -36 and -67
  Swap -36 and -67
  List after swap: [-46, -86, -76, -67, -36, -58]
  Compare -36 and -58
  Swap -36 and -58
  List after swap: [-46, -86, -76, -67, -58, -36]

Pass 2:
  Compare -46 and -86
  Swap -46 and -86
  List after swap: [-86, -46, -76, -67, -58, -36]
  Compare -46 and -76
  Swap -46 and -76
  List after swap: [-86, -76, -46, -67, -58, -36]
  Compare -46 and -67
  Swap -46 and -67
  List after swap: [-86, -76, -67, -46, -58, -36]
  Compare -46 and -58
  Swap -46 and -58
  List after swap: [-86, -76, -67, -58, -46, -36]

Pass 3:
  Compare -86 and -76
  No swap needed
  Compare -76 and -67
  No swap needed
  Compare -67 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -76, -67, -58, -46, -36]
</think>

<response>-86, -76, -67, -58, -46, -36</response>


input: Using the bubble sort method, sort -58, -85, 72, 89, -62, -69, 51, 82 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-58, -85, 72, 89, -62, -69, 51, 82]

Pass 1:
  Compare -58 and -85
  Swap -58 and -85
  List after swap: [-85, -58, 72, 89, -62, -69, 51, 82]
  Compare -58 and 72
  No swap needed
  Compare 72 and 89
  No swap needed
  Compare 89 and -62
  Swap 89 and -62
  List after swap: [-85, -58, 72, -62, 89, -69, 51, 82]
  Compare 89 and -69
  Swap 89 and -69
  List after swap: [-85, -58, 72, -62, -69, 89, 51, 82]
  Compare 89 and 51
  Swap 89 and 51
  List after swap: [-85, -58, 72, -62, -69, 51, 89, 82]
  Compare 89 and 82
  Swap 89 and 82
  List after swap: [-85, -58, 72, -62, -69, 51, 82, 89]

Pass 2:
  Compare -85 and -58
  No swap needed
  Compare -58 and 72
  No swap needed
  Compare 72 and -62
  Swap 72 and -62
  List after swap: [-85, -58, -62, 72, -69, 51, 82, 89]
  Compare 72 and -69
  Swap 72 and -69
  List after swap: [-85, -58, -62, -69, 72, 51, 82, 89]
  Compare 72 and 51
  Swap 72 and 51
  List after swap: [-85, -58, -62, -69, 51, 72, 82, 89]
  Compare 72 and 82
  No swap needed

Pass 3:
  Compare -85 and -58
  No swap needed
  Compare -58 and -62
  Swap -58 and -62
  List after swap: [-85, -62, -58, -69, 51, 72, 82, 89]
  Compare -58 and -69
  Swap -58 and -69
  List after swap: [-85, -62, -69, -58, 51, 72, 82, 89]
  Compare -58 and 51
  No swap needed
  Compare 51 and 72
  No swap needed

Pass 4:
  Compare -85 and -62
  No swap needed
  Compare -62 and -69
  Swap -62 and -69
  List after swap: [-85, -69, -62, -58, 51, 72, 82, 89]
  Compare -62 and -58
  No swap needed
  Compare -58 and 51
  No swap needed

Pass 5:
  Compare -85 and -69
  No swap needed
  Compare -69 and -62
  No swap needed
  Compare -62 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -69, -62, -58, 51, 72, 82, 89]
</think>

<response>-85, -69, -62, -58, 51, 72, 82, 89</response>


input: Sort the list -15, 30, -95, 1, 17, 59 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-15, 30, -95, 1, 17, 59]

Pass 1:
  Compare -15 and 30
  No swap needed
  Compare 30 and -95
  Swap 30 and -95
  List after swap: [-15, -95, 30, 1, 17, 59]
  Compare 30 and 1
  Swap 30 and 1
  List after swap: [-15, -95, 1, 30, 17, 59]
  Compare 30 and 17
  Swap 30 and 17
  List after swap: [-15, -95, 1, 17, 30, 59]
  Compare 30 and 59
  No swap needed

Pass 2:
  Compare -15 and -95
  Swap -15 and -95
  List after swap: [-95, -15, 1, 17, 30, 59]
  Compare -15 and 1
  No swap needed
  Compare 1 and 17
  No swap needed
  Compare 17 and 30
  No swap needed

Pass 3:
  Compare -95 and -15
  No swap needed
  Compare -15 and 1
  No swap needed
  Compare 1 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -15, 1, 17, 30, 59]
</think>

<response>-95, -15, 1, 17, 30, 59</response>


input: Demonstrate how bubble sort orders the integers -69, 40 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-69, 40]

Pass 1:
  Compare -69 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, 40]
</think>

<response>-69, 40</response>


input: Use the bubble sort technique to reorder -37, 80, 30, 10, -10, 50, 1, 18, -57, 22 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-37, 80, 30, 10, -10, 50, 1, 18, -57, 22]

Pass 1:
  Compare -37 and 80
  No swap needed
  Compare 80 and 30
  Swap 80 and 30
  List after swap: [-37, 30, 80, 10, -10, 50, 1, 18, -57, 22]
  Compare 80 and 10
  Swap 80 and 10
  List after swap: [-37, 30, 10, 80, -10, 50, 1, 18, -57, 22]
  Compare 80 and -10
  Swap 80 and -10
  List after swap: [-37, 30, 10, -10, 80, 50, 1, 18, -57, 22]
  Compare 80 and 50
  Swap 80 and 50
  List after swap: [-37, 30, 10, -10, 50, 80, 1, 18, -57, 22]
  Compare 80 and 1
  Swap 80 and 1
  List after swap: [-37, 30, 10, -10, 50, 1, 80, 18, -57, 22]
  Compare 80 and 18
  Swap 80 and 18
  List after swap: [-37, 30, 10, -10, 50, 1, 18, 80, -57, 22]
  Compare 80 and -57
  Swap 80 and -57
  List after swap: [-37, 30, 10, -10, 50, 1, 18, -57, 80, 22]
  Compare 80 and 22
  Swap 80 and 22
  List after swap: [-37, 30, 10, -10, 50, 1, 18, -57, 22, 80]

Pass 2:
  Compare -37 and 30
  No swap needed
  Compare 30 and 10
  Swap 30 and 10
  List after swap: [-37, 10, 30, -10, 50, 1, 18, -57, 22, 80]
  Compare 30 and -10
  Swap 30 and -10
  List after swap: [-37, 10, -10, 30, 50, 1, 18, -57, 22, 80]
  Compare 30 and 50
  No swap needed
  Compare 50 and 1
  Swap 50 and 1
  List after swap: [-37, 10, -10, 30, 1, 50, 18, -57, 22, 80]
  Compare 50 and 18
  Swap 50 and 18
  List after swap: [-37, 10, -10, 30, 1, 18, 50, -57, 22, 80]
  Compare 50 and -57
  Swap 50 and -57
  List after swap: [-37, 10, -10, 30, 1, 18, -57, 50, 22, 80]
  Compare 50 and 22
  Swap 50 and 22
  List after swap: [-37, 10, -10, 30, 1, 18, -57, 22, 50, 80]

Pass 3:
  Compare -37 and 10
  No swap needed
  Compare 10 and -10
  Swap 10 and -10
  List after swap: [-37, -10, 10, 30, 1, 18, -57, 22, 50, 80]
  Compare 10 and 30
  No swap needed
  Compare 30 and 1
  Swap 30 and 1
  List after swap: [-37, -10, 10, 1, 30, 18, -57, 22, 50, 80]
  Compare 30 and 18
  Swap 30 and 18
  List after swap: [-37, -10, 10, 1, 18, 30, -57, 22, 50, 80]
  Compare 30 and -57
  Swap 30 and -57
  List after swap: [-37, -10, 10, 1, 18, -57, 30, 22, 50, 80]
  Compare 30 and 22
  Swap 30 and 22
  List after swap: [-37, -10, 10, 1, 18, -57, 22, 30, 50, 80]

Pass 4:
  Compare -37 and -10
  No swap needed
  Compare -10 and 10
  No swap needed
  Compare 10 and 1
  Swap 10 and 1
  List after swap: [-37, -10, 1, 10, 18, -57, 22, 30, 50, 80]
  Compare 10 and 18
  No swap needed
  Compare 18 and -57
  Swap 18 and -57
  List after swap: [-37, -10, 1, 10, -57, 18, 22, 30, 50, 80]
  Compare 18 and 22
  No swap needed

Pass 5:
  Compare -37 and -10
  No swap needed
  Compare -10 and 1
  No swap needed
  Compare 1 and 10
  No swap needed
  Compare 10 and -57
  Swap 10 and -57
  List after swap: [-37, -10, 1, -57, 10, 18, 22, 30, 50, 80]
  Compare 10 and 18
  No swap needed

Pass 6:
  Compare -37 and -10
  No swap needed
  Compare -10 and 1
  No swap needed
  Compare 1 and -57
  Swap 1 and -57
  List after swap: [-37, -10, -57, 1, 10, 18, 22, 30, 50, 80]
  Compare 1 and 10
  No swap needed

Pass 7:
  Compare -37 and -10
  No swap needed
  Compare -10 and -57
  Swap -10 and -57
  List after swap: [-37, -57, -10, 1, 10, 18, 22, 30, 50, 80]
  Compare -10 and 1
  No swap needed

Pass 8:
  Compare -37 and -57
  Swap -37 and -57
  List after swap: [-57, -37, -10, 1, 10, 18, 22, 30, 50, 80]
  Compare -37 and -10
  No swap needed

Pass 9:
  Compare -57 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -37, -10, 1, 10, 18, 22, 30, 50, 80]
</think>

<response>-57, -37, -10, 1, 10, 18, 22, 30, 50, 80</response>


input: Use the bubble sort technique to reorder -59, 81, 13, -14, 35 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-59, 81, 13, -14, 35]

Pass 1:
  Compare -59 and 81
  No swap needed
  Compare 81 and 13
  Swap 81 and 13
  List after swap: [-59, 13, 81, -14, 35]
  Compare 81 and -14
  Swap 81 and -14
  List after swap: [-59, 13, -14, 81, 35]
  Compare 81 and 35
  Swap 81 and 35
  List after swap: [-59, 13, -14, 35, 81]

Pass 2:
  Compare -59 and 13
  No swap needed
  Compare 13 and -14
  Swap 13 and -14
  List after swap: [-59, -14, 13, 35, 81]
  Compare 13 and 35
  No swap needed

Pass 3:
  Compare -59 and -14
  No swap needed
  Compare -14 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -14, 13, 35, 81]
</think>

<response>-59, -14, 13, 35, 81</response>


input: Sort these integers -80, -99, -58, 14, 1, -11, -54, -51, -92, -42 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-80, -99, -58, 14, 1, -11, -54, -51, -92, -42]

Pass 1:
  Compare -80 and -99
  Swap -80 and -99
  List after swap: [-99, -80, -58, 14, 1, -11, -54, -51, -92, -42]
  Compare -80 and -58
  No swap needed
  Compare -58 and 14
  No swap needed
  Compare 14 and 1
  Swap 14 and 1
  List after swap: [-99, -80, -58, 1, 14, -11, -54, -51, -92, -42]
  Compare 14 and -11
  Swap 14 and -11
  List after swap: [-99, -80, -58, 1, -11, 14, -54, -51, -92, -42]
  Compare 14 and -54
  Swap 14 and -54
  List after swap: [-99, -80, -58, 1, -11, -54, 14, -51, -92, -42]
  Compare 14 and -51
  Swap 14 and -51
  List after swap: [-99, -80, -58, 1, -11, -54, -51, 14, -92, -42]
  Compare 14 and -92
  Swap 14 and -92
  List after swap: [-99, -80, -58, 1, -11, -54, -51, -92, 14, -42]
  Compare 14 and -42
  Swap 14 and -42
  List after swap: [-99, -80, -58, 1, -11, -54, -51, -92, -42, 14]

Pass 2:
  Compare -99 and -80
  No swap needed
  Compare -80 and -58
  No swap needed
  Compare -58 and 1
  No swap needed
  Compare 1 and -11
  Swap 1 and -11
  List after swap: [-99, -80, -58, -11, 1, -54, -51, -92, -42, 14]
  Compare 1 and -54
  Swap 1 and -54
  List after swap: [-99, -80, -58, -11, -54, 1, -51, -92, -42, 14]
  Compare 1 and -51
  Swap 1 and -51
  List after swap: [-99, -80, -58, -11, -54, -51, 1, -92, -42, 14]
  Compare 1 and -92
  Swap 1 and -92
  List after swap: [-99, -80, -58, -11, -54, -51, -92, 1, -42, 14]
  Compare 1 and -42
  Swap 1 and -42
  List after swap: [-99, -80, -58, -11, -54, -51, -92, -42, 1, 14]

Pass 3:
  Compare -99 and -80
  No swap needed
  Compare -80 and -58
  No swap needed
  Compare -58 and -11
  No swap needed
  Compare -11 and -54
  Swap -11 and -54
  List after swap: [-99, -80, -58, -54, -11, -51, -92, -42, 1, 14]
  Compare -11 and -51
  Swap -11 and -51
  List after swap: [-99, -80, -58, -54, -51, -11, -92, -42, 1, 14]
  Compare -11 and -92
  Swap -11 and -92
  List after swap: [-99, -80, -58, -54, -51, -92, -11, -42, 1, 14]
  Compare -11 and -42
  Swap -11 and -42
  List after swap: [-99, -80, -58, -54, -51, -92, -42, -11, 1, 14]

Pass 4:
  Compare -99 and -80
  No swap needed
  Compare -80 and -58
  No swap needed
  Compare -58 and -54
  No swap needed
  Compare -54 and -51
  No swap needed
  Compare -51 and -92
  Swap -51 and -92
  List after swap: [-99, -80, -58, -54, -92, -51, -42, -11, 1, 14]
  Compare -51 and -42
  No swap needed

Pass 5:
  Compare -99 and -80
  No swap needed
  Compare -80 and -58
  No swap needed
  Compare -58 and -54
  No swap needed
  Compare -54 and -92
  Swap -54 and -92
  List after swap: [-99, -80, -58, -92, -54, -51, -42, -11, 1, 14]
  Compare -54 and -51
  No swap needed

Pass 6:
  Compare -99 and -80
  No swap needed
  Compare -80 and -58
  No swap needed
  Compare -58 and -92
  Swap -58 and -92
  List after swap: [-99, -80, -92, -58, -54, -51, -42, -11, 1, 14]
  Compare -58 and -54
  No swap needed

Pass 7:
  Compare -99 and -80
  No swap needed
  Compare -80 and -92
  Swap -80 and -92
  List after swap: [-99, -92, -80, -58, -54, -51, -42, -11, 1, 14]
  Compare -80 and -58
  No swap needed

Pass 8:
  Compare -99 and -92
  No swap needed
  Compare -92 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -92, -80, -58, -54, -51, -42, -11, 1, 14]
</think>

<response>-99, -92, -80, -58, -54, -51, -42, -11, 1, 14</response>


input: Execute bubble sort to sort -73, 25, 34, -88, -41, -75, 6, 44, -72 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-73, 25, 34, -88, -41, -75, 6, 44, -72]

Pass 1:
  Compare -73 and 25
  No swap needed
  Compare 25 and 34
  No swap needed
  Compare 34 and -88
  Swap 34 and -88
  List after swap: [-73, 25, -88, 34, -41, -75, 6, 44, -72]
  Compare 34 and -41
  Swap 34 and -41
  List after swap: [-73, 25, -88, -41, 34, -75, 6, 44, -72]
  Compare 34 and -75
  Swap 34 and -75
  List after swap: [-73, 25, -88, -41, -75, 34, 6, 44, -72]
  Compare 34 and 6
  Swap 34 and 6
  List after swap: [-73, 25, -88, -41, -75, 6, 34, 44, -72]
  Compare 34 and 44
  No swap needed
  Compare 44 and -72
  Swap 44 and -72
  List after swap: [-73, 25, -88, -41, -75, 6, 34, -72, 44]

Pass 2:
  Compare -73 and 25
  No swap needed
  Compare 25 and -88
  Swap 25 and -88
  List after swap: [-73, -88, 25, -41, -75, 6, 34, -72, 44]
  Compare 25 and -41
  Swap 25 and -41
  List after swap: [-73, -88, -41, 25, -75, 6, 34, -72, 44]
  Compare 25 and -75
  Swap 25 and -75
  List after swap: [-73, -88, -41, -75, 25, 6, 34, -72, 44]
  Compare 25 and 6
  Swap 25 and 6
  List after swap: [-73, -88, -41, -75, 6, 25, 34, -72, 44]
  Compare 25 and 34
  No swap needed
  Compare 34 and -72
  Swap 34 and -72
  List after swap: [-73, -88, -41, -75, 6, 25, -72, 34, 44]

Pass 3:
  Compare -73 and -88
  Swap -73 and -88
  List after swap: [-88, -73, -41, -75, 6, 25, -72, 34, 44]
  Compare -73 and -41
  No swap needed
  Compare -41 and -75
  Swap -41 and -75
  List after swap: [-88, -73, -75, -41, 6, 25, -72, 34, 44]
  Compare -41 and 6
  No swap needed
  Compare 6 and 25
  No swap needed
  Compare 25 and -72
  Swap 25 and -72
  List after swap: [-88, -73, -75, -41, 6, -72, 25, 34, 44]

Pass 4:
  Compare -88 and -73
  No swap needed
  Compare -73 and -75
  Swap -73 and -75
  List after swap: [-88, -75, -73, -41, 6, -72, 25, 34, 44]
  Compare -73 and -41
  No swap needed
  Compare -41 and 6
  No swap needed
  Compare 6 and -72
  Swap 6 and -72
  List after swap: [-88, -75, -73, -41, -72, 6, 25, 34, 44]

Pass 5:
  Compare -88 and -75
  No swap needed
  Compare -75 and -73
  No swap needed
  Compare -73 and -41
  No swap needed
  Compare -41 and -72
  Swap -41 and -72
  List after swap: [-88, -75, -73, -72, -41, 6, 25, 34, 44]

Pass 6:
  Compare -88 and -75
  No swap needed
  Compare -75 and -73
  No swap needed
  Compare -73 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -75, -73, -72, -41, 6, 25, 34, 44]
</think>

<response>-88, -75, -73, -72, -41, 6, 25, 34, 44</response>


input: Arrange the numbers -11, 81, -27, 83, 46, -25, 62, 54, -9, -58 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-11, 81, -27, 83, 46, -25, 62, 54, -9, -58]

Pass 1:
  Compare -11 and 81
  No swap needed
  Compare 81 and -27
  Swap 81 and -27
  List after swap: [-11, -27, 81, 83, 46, -25, 62, 54, -9, -58]
  Compare 81 and 83
  No swap needed
  Compare 83 and 46
  Swap 83 and 46
  List after swap: [-11, -27, 81, 46, 83, -25, 62, 54, -9, -58]
  Compare 83 and -25
  Swap 83 and -25
  List after swap: [-11, -27, 81, 46, -25, 83, 62, 54, -9, -58]
  Compare 83 and 62
  Swap 83 and 62
  List after swap: [-11, -27, 81, 46, -25, 62, 83, 54, -9, -58]
  Compare 83 and 54
  Swap 83 and 54
  List after swap: [-11, -27, 81, 46, -25, 62, 54, 83, -9, -58]
  Compare 83 and -9
  Swap 83 and -9
  List after swap: [-11, -27, 81, 46, -25, 62, 54, -9, 83, -58]
  Compare 83 and -58
  Swap 83 and -58
  List after swap: [-11, -27, 81, 46, -25, 62, 54, -9, -58, 83]

Pass 2:
  Compare -11 and -27
  Swap -11 and -27
  List after swap: [-27, -11, 81, 46, -25, 62, 54, -9, -58, 83]
  Compare -11 and 81
  No swap needed
  Compare 81 and 46
  Swap 81 and 46
  List after swap: [-27, -11, 46, 81, -25, 62, 54, -9, -58, 83]
  Compare 81 and -25
  Swap 81 and -25
  List after swap: [-27, -11, 46, -25, 81, 62, 54, -9, -58, 83]
  Compare 81 and 62
  Swap 81 and 62
  List after swap: [-27, -11, 46, -25, 62, 81, 54, -9, -58, 83]
  Compare 81 and 54
  Swap 81 and 54
  List after swap: [-27, -11, 46, -25, 62, 54, 81, -9, -58, 83]
  Compare 81 and -9
  Swap 81 and -9
  List after swap: [-27, -11, 46, -25, 62, 54, -9, 81, -58, 83]
  Compare 81 and -58
  Swap 81 and -58
  List after swap: [-27, -11, 46, -25, 62, 54, -9, -58, 81, 83]

Pass 3:
  Compare -27 and -11
  No swap needed
  Compare -11 and 46
  No swap needed
  Compare 46 and -25
  Swap 46 and -25
  List after swap: [-27, -11, -25, 46, 62, 54, -9, -58, 81, 83]
  Compare 46 and 62
  No swap needed
  Compare 62 and 54
  Swap 62 and 54
  List after swap: [-27, -11, -25, 46, 54, 62, -9, -58, 81, 83]
  Compare 62 and -9
  Swap 62 and -9
  List after swap: [-27, -11, -25, 46, 54, -9, 62, -58, 81, 83]
  Compare 62 and -58
  Swap 62 and -58
  List after swap: [-27, -11, -25, 46, 54, -9, -58, 62, 81, 83]

Pass 4:
  Compare -27 and -11
  No swap needed
  Compare -11 and -25
  Swap -11 and -25
  List after swap: [-27, -25, -11, 46, 54, -9, -58, 62, 81, 83]
  Compare -11 and 46
  No swap needed
  Compare 46 and 54
  No swap needed
  Compare 54 and -9
  Swap 54 and -9
  List after swap: [-27, -25, -11, 46, -9, 54, -58, 62, 81, 83]
  Compare 54 and -58
  Swap 54 and -58
  List after swap: [-27, -25, -11, 46, -9, -58, 54, 62, 81, 83]

Pass 5:
  Compare -27 and -25
  No swap needed
  Compare -25 and -11
  No swap needed
  Compare -11 and 46
  No swap needed
  Compare 46 and -9
  Swap 46 and -9
  List after swap: [-27, -25, -11, -9, 46, -58, 54, 62, 81, 83]
  Compare 46 and -58
  Swap 46 and -58
  List after swap: [-27, -25, -11, -9, -58, 46, 54, 62, 81, 83]

Pass 6:
  Compare -27 and -25
  No swap needed
  Compare -25 and -11
  No swap needed
  Compare -11 and -9
  No swap needed
  Compare -9 and -58
  Swap -9 and -58
  List after swap: [-27, -25, -11, -58, -9, 46, 54, 62, 81, 83]

Pass 7:
  Compare -27 and -25
  No swap needed
  Compare -25 and -11
  No swap needed
  Compare -11 and -58
  Swap -11 and -58
  List after swap: [-27, -25, -58, -11, -9, 46, 54, 62, 81, 83]

Pass 8:
  Compare -27 and -25
  No swap needed
  Compare -25 and -58
  Swap -25 and -58
  List after swap: [-27, -58, -25, -11, -9, 46, 54, 62, 81, 83]

Pass 9:
  Compare -27 and -58
  Swap -27 and -58
  List after swap: [-58, -27, -25, -11, -9, 46, 54, 62, 81, 83]

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

Final sorted list: [-58, -27, -25, -11, -9, 46, 54, 62, 81, 83]
</think>

<response>-58, -27, -25, -11, -9, 46, 54, 62, 81, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 55, -31, 54, 84, 15.

output:
<think>
Initial list: [55, -31, 54, 84, 15]

Pass 1:
  Compare 55 and -31
  Swap 55 and -31
  List after swap: [-31, 55, 54, 84, 15]
  Compare 55 and 54
  Swap 55 and 54
  List after swap: [-31, 54, 55, 84, 15]
  Compare 55 and 84
  No swap needed
  Compare 84 and 15
  Swap 84 and 15
  List after swap: [-31, 54, 55, 15, 84]

Pass 2:
  Compare -31 and 54
  No swap needed
  Compare 54 and 55
  No swap needed
  Compare 55 and 15
  Swap 55 and 15
  List after swap: [-31, 54, 15, 55, 84]

Pass 3:
  Compare -31 and 54
  No swap needed
  Compare 54 and 15
  Swap 54 and 15
  List after swap: [-31, 15, 54, 55, 84]

Pass 4:
  Compare -31 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, 15, 54, 55, 84]
</think>

<response>-31, 15, 54, 55, 84</response>


input: Execute bubble sort to sort 1, -96, 82, -37, 85 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [1, -96, 82, -37, 85]

Pass 1:
  Compare 1 and -96
  Swap 1 and -96
  List after swap: [-96, 1, 82, -37, 85]
  Compare 1 and 82
  No swap needed
  Compare 82 and -37
  Swap 82 and -37
  List after swap: [-96, 1, -37, 82, 85]
  Compare 82 and 85
  No swap needed

Pass 2:
  Compare -96 and 1
  No swap needed
  Compare 1 and -37
  Swap 1 and -37
  List after swap: [-96, -37, 1, 82, 85]
  Compare 1 and 82
  No swap needed

Pass 3:
  Compare -96 and -37
  No swap needed
  Compare -37 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -37, 1, 82, 85]
</think>

<response>-96, -37, 1, 82, 85</response>


input: Sort the list -1, -64, -41, -7, 12, -83, 9, 59, -16, -49 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-1, -64, -41, -7, 12, -83, 9, 59, -16, -49]

Pass 1:
  Compare -1 and -64
  Swap -1 and -64
  List after swap: [-64, -1, -41, -7, 12, -83, 9, 59, -16, -49]
  Compare -1 and -41
  Swap -1 and -41
  List after swap: [-64, -41, -1, -7, 12, -83, 9, 59, -16, -49]
  Compare -1 and -7
  Swap -1 and -7
  List after swap: [-64, -41, -7, -1, 12, -83, 9, 59, -16, -49]
  Compare -1 and 12
  No swap needed
  Compare 12 and -83
  Swap 12 and -83
  List after swap: [-64, -41, -7, -1, -83, 12, 9, 59, -16, -49]
  Compare 12 and 9
  Swap 12 and 9
  List after swap: [-64, -41, -7, -1, -83, 9, 12, 59, -16, -49]
  Compare 12 and 59
  No swap needed
  Compare 59 and -16
  Swap 59 and -16
  List after swap: [-64, -41, -7, -1, -83, 9, 12, -16, 59, -49]
  Compare 59 and -49
  Swap 59 and -49
  List after swap: [-64, -41, -7, -1, -83, 9, 12, -16, -49, 59]

Pass 2:
  Compare -64 and -41
  No swap needed
  Compare -41 and -7
  No swap needed
  Compare -7 and -1
  No swap needed
  Compare -1 and -83
  Swap -1 and -83
  List after swap: [-64, -41, -7, -83, -1, 9, 12, -16, -49, 59]
  Compare -1 and 9
  No swap needed
  Compare 9 and 12
  No swap needed
  Compare 12 and -16
  Swap 12 and -16
  List after swap: [-64, -41, -7, -83, -1, 9, -16, 12, -49, 59]
  Compare 12 and -49
  Swap 12 and -49
  List after swap: [-64, -41, -7, -83, -1, 9, -16, -49, 12, 59]

Pass 3:
  Compare -64 and -41
  No swap needed
  Compare -41 and -7
  No swap needed
  Compare -7 and -83
  Swap -7 and -83
  List after swap: [-64, -41, -83, -7, -1, 9, -16, -49, 12, 59]
  Compare -7 and -1
  No swap needed
  Compare -1 and 9
  No swap needed
  Compare 9 and -16
  Swap 9 and -16
  List after swap: [-64, -41, -83, -7, -1, -16, 9, -49, 12, 59]
  Compare 9 and -49
  Swap 9 and -49
  List after swap: [-64, -41, -83, -7, -1, -16, -49, 9, 12, 59]

Pass 4:
  Compare -64 and -41
  No swap needed
  Compare -41 and -83
  Swap -41 and -83
  List after swap: [-64, -83, -41, -7, -1, -16, -49, 9, 12, 59]
  Compare -41 and -7
  No swap needed
  Compare -7 and -1
  No swap needed
  Compare -1 and -16
  Swap -1 and -16
  List after swap: [-64, -83, -41, -7, -16, -1, -49, 9, 12, 59]
  Compare -1 and -49
  Swap -1 and -49
  List after swap: [-64, -83, -41, -7, -16, -49, -1, 9, 12, 59]

Pass 5:
  Compare -64 and -83
  Swap -64 and -83
  List after swap: [-83, -64, -41, -7, -16, -49, -1, 9, 12, 59]
  Compare -64 and -41
  No swap needed
  Compare -41 and -7
  No swap needed
  Compare -7 and -16
  Swap -7 and -16
  List after swap: [-83, -64, -41, -16, -7, -49, -1, 9, 12, 59]
  Compare -7 and -49
  Swap -7 and -49
  List after swap: [-83, -64, -41, -16, -49, -7, -1, 9, 12, 59]

Pass 6:
  Compare -83 and -64
  No swap needed
  Compare -64 and -41
  No swap needed
  Compare -41 and -16
  No swap needed
  Compare -16 and -49
  Swap -16 and -49
  List after swap: [-83, -64, -41, -49, -16, -7, -1, 9, 12, 59]

Pass 7:
  Compare -83 and -64
  No swap needed
  Compare -64 and -41
  No swap needed
  Compare -41 and -49
  Swap -41 and -49
  List after swap: [-83, -64, -49, -41, -16, -7, -1, 9, 12, 59]

Pass 8:
  Compare -83 and -64
  No swap needed
  Compare -64 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -64, -49, -41, -16, -7, -1, 9, 12, 59]
</think>

<response>-83, -64, -49, -41, -16, -7, -1, 9, 12, 59</response>


input: Execute bubble sort to sort -67, -18, 10, 16, -78, 2 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-67, -18, 10, 16, -78, 2]

Pass 1:
  Compare -67 and -18
  No swap needed
  Compare -18 and 10
  No swap needed
  Compare 10 and 16
  No swap needed
  Compare 16 and -78
  Swap 16 and -78
  List after swap: [-67, -18, 10, -78, 16, 2]
  Compare 16 and 2
  Swap 16 and 2
  List after swap: [-67, -18, 10, -78, 2, 16]

Pass 2:
  Compare -67 and -18
  No swap needed
  Compare -18 and 10
  No swap needed
  Compare 10 and -78
  Swap 10 and -78
  List after swap: [-67, -18, -78, 10, 2, 16]
  Compare 10 and 2
  Swap 10 and 2
  List after swap: [-67, -18, -78, 2, 10, 16]

Pass 3:
  Compare -67 and -18
  No swap needed
  Compare -18 and -78
  Swap -18 and -78
  List after swap: [-67, -78, -18, 2, 10, 16]
  Compare -18 and 2
  No swap needed

Pass 4:
  Compare -67 and -78
  Swap -67 and -78
  List after swap: [-78, -67, -18, 2, 10, 16]
  Compare -67 and -18
  No swap needed

Pass 5:
  Compare -78 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -67, -18, 2, 10, 16]
</think>

<response>-78, -67, -18, 2, 10, 16</response>


input: Use the bubble sort technique to reorder -12, -87, 56, -13 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-12, -87, 56, -13]

Pass 1:
  Compare -12 and -87
  Swap -12 and -87
  List after swap: [-87, -12, 56, -13]
  Compare -12 and 56
  No swap needed
  Compare 56 and -13
  Swap 56 and -13
  List after swap: [-87, -12, -13, 56]

Pass 2:
  Compare -87 and -12
  No swap needed
  Compare -12 and -13
  Swap -12 and -13
  List after swap: [-87, -13, -12, 56]

Pass 3:
  Compare -87 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -13, -12, 56]
</think>

<response>-87, -13, -12, 56</response>


input: Using the bubble sort method, sort 18, 56, 93, 55, -23, -90, 20, -84, 97, -39 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [18, 56, 93, 55, -23, -90, 20, -84, 97, -39]

Pass 1:
  Compare 18 and 56
  No swap needed
  Compare 56 and 93
  No swap needed
  Compare 93 and 55
  Swap 93 and 55
  List after swap: [18, 56, 55, 93, -23, -90, 20, -84, 97, -39]
  Compare 93 and -23
  Swap 93 and -23
  List after swap: [18, 56, 55, -23, 93, -90, 20, -84, 97, -39]
  Compare 93 and -90
  Swap 93 and -90
  List after swap: [18, 56, 55, -23, -90, 93, 20, -84, 97, -39]
  Compare 93 and 20
  Swap 93 and 20
  List after swap: [18, 56, 55, -23, -90, 20, 93, -84, 97, -39]
  Compare 93 and -84
  Swap 93 and -84
  List after swap: [18, 56, 55, -23, -90, 20, -84, 93, 97, -39]
  Compare 93 and 97
  No swap needed
  Compare 97 and -39
  Swap 97 and -39
  List after swap: [18, 56, 55, -23, -90, 20, -84, 93, -39, 97]

Pass 2:
  Compare 18 and 56
  No swap needed
  Compare 56 and 55
  Swap 56 and 55
  List after swap: [18, 55, 56, -23, -90, 20, -84, 93, -39, 97]
  Compare 56 and -23
  Swap 56 and -23
  List after swap: [18, 55, -23, 56, -90, 20, -84, 93, -39, 97]
  Compare 56 and -90
  Swap 56 and -90
  List after swap: [18, 55, -23, -90, 56, 20, -84, 93, -39, 97]
  Compare 56 and 20
  Swap 56 and 20
  List after swap: [18, 55, -23, -90, 20, 56, -84, 93, -39, 97]
  Compare 56 and -84
  Swap 56 and -84
  List after swap: [18, 55, -23, -90, 20, -84, 56, 93, -39, 97]
  Compare 56 and 93
  No swap needed
  Compare 93 and -39
  Swap 93 and -39
  List after swap: [18, 55, -23, -90, 20, -84, 56, -39, 93, 97]

Pass 3:
  Compare 18 and 55
  No swap needed
  Compare 55 and -23
  Swap 55 and -23
  List after swap: [18, -23, 55, -90, 20, -84, 56, -39, 93, 97]
  Compare 55 and -90
  Swap 55 and -90
  List after swap: [18, -23, -90, 55, 20, -84, 56, -39, 93, 97]
  Compare 55 and 20
  Swap 55 and 20
  List after swap: [18, -23, -90, 20, 55, -84, 56, -39, 93, 97]
  Compare 55 and -84
  Swap 55 and -84
  List after swap: [18, -23, -90, 20, -84, 55, 56, -39, 93, 97]
  Compare 55 and 56
  No swap needed
  Compare 56 and -39
  Swap 56 and -39
  List after swap: [18, -23, -90, 20, -84, 55, -39, 56, 93, 97]

Pass 4:
  Compare 18 and -23
  Swap 18 and -23
  List after swap: [-23, 18, -90, 20, -84, 55, -39, 56, 93, 97]
  Compare 18 and -90
  Swap 18 and -90
  List after swap: [-23, -90, 18, 20, -84, 55, -39, 56, 93, 97]
  Compare 18 and 20
  No swap needed
  Compare 20 and -84
  Swap 20 and -84
  List after swap: [-23, -90, 18, -84, 20, 55, -39, 56, 93, 97]
  Compare 20 and 55
  No swap needed
  Compare 55 and -39
  Swap 55 and -39
  List after swap: [-23, -90, 18, -84, 20, -39, 55, 56, 93, 97]

Pass 5:
  Compare -23 and -90
  Swap -23 and -90
  List after swap: [-90, -23, 18, -84, 20, -39, 55, 56, 93, 97]
  Compare -23 and 18
  No swap needed
  Compare 18 and -84
  Swap 18 and -84
  List after swap: [-90, -23, -84, 18, 20, -39, 55, 56, 93, 97]
  Compare 18 and 20
  No swap needed
  Compare 20 and -39
  Swap 20 and -39
  List after swap: [-90, -23, -84, 18, -39, 20, 55, 56, 93, 97]

Pass 6:
  Compare -90 and -23
  No swap needed
  Compare -23 and -84
  Swap -23 and -84
  List after swap: [-90, -84, -23, 18, -39, 20, 55, 56, 93, 97]
  Compare -23 and 18
  No swap needed
  Compare 18 and -39
  Swap 18 and -39
  List after swap: [-90, -84, -23, -39, 18, 20, 55, 56, 93, 97]

Pass 7:
  Compare -90 and -84
  No swap needed
  Compare -84 and -23
  No swap needed
  Compare -23 and -39
  Swap -23 and -39
  List after swap: [-90, -84, -39, -23, 18, 20, 55, 56, 93, 97]

Pass 8:
  Compare -90 and -84
  No swap needed
  Compare -84 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -84, -39, -23, 18, 20, 55, 56, 93, 97]
</think>

<response>-90, -84, -39, -23, 18, 20, 55, 56, 93, 97</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 29, 22, 80, -80, 10, -89, -93, -96, -87, 81.

output:
<think>
Initial list: [29, 22, 80, -80, 10, -89, -93, -96, -87, 81]

Pass 1:
  Compare 29 and 22
  Swap 29 and 22
  List after swap: [22, 29, 80, -80, 10, -89, -93, -96, -87, 81]
  Compare 29 and 80
  No swap needed
  Compare 80 and -80
  Swap 80 and -80
  List after swap: [22, 29, -80, 80, 10, -89, -93, -96, -87, 81]
  Compare 80 and 10
  Swap 80 and 10
  List after swap: [22, 29, -80, 10, 80, -89, -93, -96, -87, 81]
  Compare 80 and -89
  Swap 80 and -89
  List after swap: [22, 29, -80, 10, -89, 80, -93, -96, -87, 81]
  Compare 80 and -93
  Swap 80 and -93
  List after swap: [22, 29, -80, 10, -89, -93, 80, -96, -87, 81]
  Compare 80 and -96
  Swap 80 and -96
  List after swap: [22, 29, -80, 10, -89, -93, -96, 80, -87, 81]
  Compare 80 and -87
  Swap 80 and -87
  List after swap: [22, 29, -80, 10, -89, -93, -96, -87, 80, 81]
  Compare 80 and 81
  No swap needed

Pass 2:
  Compare 22 and 29
  No swap needed
  Compare 29 and -80
  Swap 29 and -80
  List after swap: [22, -80, 29, 10, -89, -93, -96, -87, 80, 81]
  Compare 29 and 10
  Swap 29 and 10
  List after swap: [22, -80, 10, 29, -89, -93, -96, -87, 80, 81]
  Compare 29 and -89
  Swap 29 and -89
  List after swap: [22, -80, 10, -89, 29, -93, -96, -87, 80, 81]
  Compare 29 and -93
  Swap 29 and -93
  List after swap: [22, -80, 10, -89, -93, 29, -96, -87, 80, 81]
  Compare 29 and -96
  Swap 29 and -96
  List after swap: [22, -80, 10, -89, -93, -96, 29, -87, 80, 81]
  Compare 29 and -87
  Swap 29 and -87
  List after swap: [22, -80, 10, -89, -93, -96, -87, 29, 80, 81]
  Compare 29 and 80
  No swap needed

Pass 3:
  Compare 22 and -80
  Swap 22 and -80
  List after swap: [-80, 22, 10, -89, -93, -96, -87, 29, 80, 81]
  Compare 22 and 10
  Swap 22 and 10
  List after swap: [-80, 10, 22, -89, -93, -96, -87, 29, 80, 81]
  Compare 22 and -89
  Swap 22 and -89
  List after swap: [-80, 10, -89, 22, -93, -96, -87, 29, 80, 81]
  Compare 22 and -93
  Swap 22 and -93
  List after swap: [-80, 10, -89, -93, 22, -96, -87, 29, 80, 81]
  Compare 22 and -96
  Swap 22 and -96
  List after swap: [-80, 10, -89, -93, -96, 22, -87, 29, 80, 81]
  Compare 22 and -87
  Swap 22 and -87
  List after swap: [-80, 10, -89, -93, -96, -87, 22, 29, 80, 81]
  Compare 22 and 29
  No swap needed

Pass 4:
  Compare -80 and 10
  No swap needed
  Compare 10 and -89
  Swap 10 and -89
  List after swap: [-80, -89, 10, -93, -96, -87, 22, 29, 80, 81]
  Compare 10 and -93
  Swap 10 and -93
  List after swap: [-80, -89, -93, 10, -96, -87, 22, 29, 80, 81]
  Compare 10 and -96
  Swap 10 and -96
  List after swap: [-80, -89, -93, -96, 10, -87, 22, 29, 80, 81]
  Compare 10 and -87
  Swap 10 and -87
  List after swap: [-80, -89, -93, -96, -87, 10, 22, 29, 80, 81]
  Compare 10 and 22
  No swap needed

Pass 5:
  Compare -80 and -89
  Swap -80 and -89
  List after swap: [-89, -80, -93, -96, -87, 10, 22, 29, 80, 81]
  Compare -80 and -93
  Swap -80 and -93
  List after swap: [-89, -93, -80, -96, -87, 10, 22, 29, 80, 81]
  Compare -80 and -96
  Swap -80 and -96
  List after swap: [-89, -93, -96, -80, -87, 10, 22, 29, 80, 81]
  Compare -80 and -87
  Swap -80 and -87
  List after swap: [-89, -93, -96, -87, -80, 10, 22, 29, 80, 81]
  Compare -80 and 10
  No swap needed

Pass 6:
  Compare -89 and -93
  Swap -89 and -93
  List after swap: [-93, -89, -96, -87, -80, 10, 22, 29, 80, 81]
  Compare -89 and -96
  Swap -89 and -96
  List after swap: [-93, -96, -89, -87, -80, 10, 22, 29, 80, 81]
  Compare -89 and -87
  No swap needed
  Compare -87 and -80
  No swap needed

Pass 7:
  Compare -93 and -96
  Swap -93 and -96
  List after swap: [-96, -93, -89, -87, -80, 10, 22, 29, 80, 81]
  Compare -93 and -89
  No swap needed
  Compare -89 and -87
  No swap needed

Pass 8:
  Compare -96 and -93
  No swap needed
  Compare -93 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -93, -89, -87, -80, 10, 22, 29, 80, 81]
</think>

<response>-96, -93, -89, -87, -80, 10, 22, 29, 80, 81</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 88, 84.

output:
<think>
Initial list: [88, 84]

Pass 1:
  Compare 88 and 84
  Swap 88 and 84
  List after swap: [84, 88]

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

Final sorted list: [84, 88]
</think>

<response>84, 88</response>


input: Perform a bubble sort on the integers -44, -22, -98, 45, -86, -49, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-44, -22, -98, 45, -86, -49]

Pass 1:
  Compare -44 and -22
  No swap needed
  Compare -22 and -98
  Swap -22 and -98
  List after swap: [-44, -98, -22, 45, -86, -49]
  Compare -22 and 45
  No swap needed
  Compare 45 and -86
  Swap 45 and -86
  List after swap: [-44, -98, -22, -86, 45, -49]
  Compare 45 and -49
  Swap 45 and -49
  List after swap: [-44, -98, -22, -86, -49, 45]

Pass 2:
  Compare -44 and -98
  Swap -44 and -98
  List after swap: [-98, -44, -22, -86, -49, 45]
  Compare -44 and -22
  No swap needed
  Compare -22 and -86
  Swap -22 and -86
  List after swap: [-98, -44, -86, -22, -49, 45]
  Compare -22 and -49
  Swap -22 and -49
  List after swap: [-98, -44, -86, -49, -22, 45]

Pass 3:
  Compare -98 and -44
  No swap needed
  Compare -44 and -86
  Swap -44 and -86
  List after swap: [-98, -86, -44, -49, -22, 45]
  Compare -44 and -49
  Swap -44 and -49
  List after swap: [-98, -86, -49, -44, -22, 45]

Pass 4:
  Compare -98 and -86
  No swap needed
  Compare -86 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -86, -49, -44, -22, 45]
</think>

<response>-98, -86, -49, -44, -22, 45</response>


input: Using the bubble sort method, sort -61, -3, 19, 53, -6, 58, -36, 15 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-61, -3, 19, 53, -6, 58, -36, 15]

Pass 1:
  Compare -61 and -3
  No swap needed
  Compare -3 and 19
  No swap needed
  Compare 19 and 53
  No swap needed
  Compare 53 and -6
  Swap 53 and -6
  List after swap: [-61, -3, 19, -6, 53, 58, -36, 15]
  Compare 53 and 58
  No swap needed
  Compare 58 and -36
  Swap 58 and -36
  List after swap: [-61, -3, 19, -6, 53, -36, 58, 15]
  Compare 58 and 15
  Swap 58 and 15
  List after swap: [-61, -3, 19, -6, 53, -36, 15, 58]

Pass 2:
  Compare -61 and -3
  No swap needed
  Compare -3 and 19
  No swap needed
  Compare 19 and -6
  Swap 19 and -6
  List after swap: [-61, -3, -6, 19, 53, -36, 15, 58]
  Compare 19 and 53
  No swap needed
  Compare 53 and -36
  Swap 53 and -36
  List after swap: [-61, -3, -6, 19, -36, 53, 15, 58]
  Compare 53 and 15
  Swap 53 and 15
  List after swap: [-61, -3, -6, 19, -36, 15, 53, 58]

Pass 3:
  Compare -61 and -3
  No swap needed
  Compare -3 and -6
  Swap -3 and -6
  List after swap: [-61, -6, -3, 19, -36, 15, 53, 58]
  Compare -3 and 19
  No swap needed
  Compare 19 and -36
  Swap 19 and -36
  List after swap: [-61, -6, -3, -36, 19, 15, 53, 58]
  Compare 19 and 15
  Swap 19 and 15
  List after swap: [-61, -6, -3, -36, 15, 19, 53, 58]

Pass 4:
  Compare -61 and -6
  No swap needed
  Compare -6 and -3
  No swap needed
  Compare -3 and -36
  Swap -3 and -36
  List after swap: [-61, -6, -36, -3, 15, 19, 53, 58]
  Compare -3 and 15
  No swap needed

Pass 5:
  Compare -61 and -6
  No swap needed
  Compare -6 and -36
  Swap -6 and -36
  List after swap: [-61, -36, -6, -3, 15, 19, 53, 58]
  Compare -6 and -3
  No swap needed

Pass 6:
  Compare -61 and -36
  No swap needed
  Compare -36 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -36, -6, -3, 15, 19, 53, 58]
</think>

<response>-61, -36, -6, -3, 15, 19, 53, 58</response>


input: Carry out the bubble sort algorithm on -15, 99, -87, 36, 66, 45, -23, -22 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-15, 99, -87, 36, 66, 45, -23, -22]

Pass 1:
  Compare -15 and 99
  No swap needed
  Compare 99 and -87
  Swap 99 and -87
  List after swap: [-15, -87, 99, 36, 66, 45, -23, -22]
  Compare 99 and 36
  Swap 99 and 36
  List after swap: [-15, -87, 36, 99, 66, 45, -23, -22]
  Compare 99 and 66
  Swap 99 and 66
  List after swap: [-15, -87, 36, 66, 99, 45, -23, -22]
  Compare 99 and 45
  Swap 99 and 45
  List after swap: [-15, -87, 36, 66, 45, 99, -23, -22]
  Compare 99 and -23
  Swap 99 and -23
  List after swap: [-15, -87, 36, 66, 45, -23, 99, -22]
  Compare 99 and -22
  Swap 99 and -22
  List after swap: [-15, -87, 36, 66, 45, -23, -22, 99]

Pass 2:
  Compare -15 and -87
  Swap -15 and -87
  List after swap: [-87, -15, 36, 66, 45, -23, -22, 99]
  Compare -15 and 36
  No swap needed
  Compare 36 and 66
  No swap needed
  Compare 66 and 45
  Swap 66 and 45
  List after swap: [-87, -15, 36, 45, 66, -23, -22, 99]
  Compare 66 and -23
  Swap 66 and -23
  List after swap: [-87, -15, 36, 45, -23, 66, -22, 99]
  Compare 66 and -22
  Swap 66 and -22
  List after swap: [-87, -15, 36, 45, -23, -22, 66, 99]

Pass 3:
  Compare -87 and -15
  No swap needed
  Compare -15 and 36
  No swap needed
  Compare 36 and 45
  No swap needed
  Compare 45 and -23
  Swap 45 and -23
  List after swap: [-87, -15, 36, -23, 45, -22, 66, 99]
  Compare 45 and -22
  Swap 45 and -22
  List after swap: [-87, -15, 36, -23, -22, 45, 66, 99]

Pass 4:
  Compare -87 and -15
  No swap needed
  Compare -15 and 36
  No swap needed
  Compare 36 and -23
  Swap 36 and -23
  List after swap: [-87, -15, -23, 36, -22, 45, 66, 99]
  Compare 36 and -22
  Swap 36 and -22
  List after swap: [-87, -15, -23, -22, 36, 45, 66, 99]

Pass 5:
  Compare -87 and -15
  No swap needed
  Compare -15 and -23
  Swap -15 and -23
  List after swap: [-87, -23, -15, -22, 36, 45, 66, 99]
  Compare -15 and -22
  Swap -15 and -22
  List after swap: [-87, -23, -22, -15, 36, 45, 66, 99]

Pass 6:
  Compare -87 and -23
  No swap needed
  Compare -23 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -23, -22, -15, 36, 45, 66, 99]
</think>

<response>-87, -23, -22, -15, 36, 45, 66, 99</response>


input: Execute bubble sort to sort -97, 10 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-97, 10]

Pass 1:
  Compare -97 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, 10]
</think>

<response>-97, 10</response>


input: Execute bubble sort to sort -78, 23, 29 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-78, 23, 29]

Pass 1:
  Compare -78 and 23
  No swap needed
  Compare 23 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 23, 29]
</think>

<response>-78, 23, 29</response>


input: Arrange the numbers -83, 53 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-83, 53]

Pass 1:
  Compare -83 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, 53]
</think>

<response>-83, 53</response>


input: Sort the list 36, 76 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [36, 76]

Pass 1:
  Compare 36 and 76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [36, 76]
</think>

<response>36, 76</response>


input: Sort these integers -84, -89, 89 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-84, -89, 89]

Pass 1:
  Compare -84 and -89
  Swap -84 and -89
  List after swap: [-89, -84, 89]
  Compare -84 and 89
  No swap needed

Pass 2:
  Compare -89 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -84, 89]
</think>

<response>-89, -84, 89</response>


input: Using the bubble sort method, sort -74, 88, -28, -1, -11, 25, 80, -69, -75 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-74, 88, -28, -1, -11, 25, 80, -69, -75]

Pass 1:
  Compare -74 and 88
  No swap needed
  Compare 88 and -28
  Swap 88 and -28
  List after swap: [-74, -28, 88, -1, -11, 25, 80, -69, -75]
  Compare 88 and -1
  Swap 88 and -1
  List after swap: [-74, -28, -1, 88, -11, 25, 80, -69, -75]
  Compare 88 and -11
  Swap 88 and -11
  List after swap: [-74, -28, -1, -11, 88, 25, 80, -69, -75]
  Compare 88 and 25
  Swap 88 and 25
  List after swap: [-74, -28, -1, -11, 25, 88, 80, -69, -75]
  Compare 88 and 80
  Swap 88 and 80
  List after swap: [-74, -28, -1, -11, 25, 80, 88, -69, -75]
  Compare 88 and -69
  Swap 88 and -69
  List after swap: [-74, -28, -1, -11, 25, 80, -69, 88, -75]
  Compare 88 and -75
  Swap 88 and -75
  List after swap: [-74, -28, -1, -11, 25, 80, -69, -75, 88]

Pass 2:
  Compare -74 and -28
  No swap needed
  Compare -28 and -1
  No swap needed
  Compare -1 and -11
  Swap -1 and -11
  List after swap: [-74, -28, -11, -1, 25, 80, -69, -75, 88]
  Compare -1 and 25
  No swap needed
  Compare 25 and 80
  No swap needed
  Compare 80 and -69
  Swap 80 and -69
  List after swap: [-74, -28, -11, -1, 25, -69, 80, -75, 88]
  Compare 80 and -75
  Swap 80 and -75
  List after swap: [-74, -28, -11, -1, 25, -69, -75, 80, 88]

Pass 3:
  Compare -74 and -28
  No swap needed
  Compare -28 and -11
  No swap needed
  Compare -11 and -1
  No swap needed
  Compare -1 and 25
  No swap needed
  Compare 25 and -69
  Swap 25 and -69
  List after swap: [-74, -28, -11, -1, -69, 25, -75, 80, 88]
  Compare 25 and -75
  Swap 25 and -75
  List after swap: [-74, -28, -11, -1, -69, -75, 25, 80, 88]

Pass 4:
  Compare -74 and -28
  No swap needed
  Compare -28 and -11
  No swap needed
  Compare -11 and -1
  No swap needed
  Compare -1 and -69
  Swap -1 and -69
  List after swap: [-74, -28, -11, -69, -1, -75, 25, 80, 88]
  Compare -1 and -75
  Swap -1 and -75
  List after swap: [-74, -28, -11, -69, -75, -1, 25, 80, 88]

Pass 5:
  Compare -74 and -28
  No swap needed
  Compare -28 and -11
  No swap needed
  Compare -11 and -69
  Swap -11 and -69
  List after swap: [-74, -28, -69, -11, -75, -1, 25, 80, 88]
  Compare -11 and -75
  Swap -11 and -75
  List after swap: [-74, -28, -69, -75, -11, -1, 25, 80, 88]

Pass 6:
  Compare -74 and -28
  No swap needed
  Compare -28 and -69
  Swap -28 and -69
  List after swap: [-74, -69, -28, -75, -11, -1, 25, 80, 88]
  Compare -28 and -75
  Swap -28 and -75
  List after swap: [-74, -69, -75, -28, -11, -1, 25, 80, 88]

Pass 7:
  Compare -74 and -69
  No swap needed
  Compare -69 and -75
  Swap -69 and -75
  List after swap: [-74, -75, -69, -28, -11, -1, 25, 80, 88]

Pass 8:
  Compare -74 and -75
  Swap -74 and -75
  List after swap: [-75, -74, -69, -28, -11, -1, 25, 80, 88]

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

Final sorted list: [-75, -74, -69, -28, -11, -1, 25, 80, 88]
</think>

<response>-75, -74, -69, -28, -11, -1, 25, 80, 88</response>


input: Perform a bubble sort on the integers -72, -100, -2, -61, 54, -79, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-72, -100, -2, -61, 54, -79]

Pass 1:
  Compare -72 and -100
  Swap -72 and -100
  List after swap: [-100, -72, -2, -61, 54, -79]
  Compare -72 and -2
  No swap needed
  Compare -2 and -61
  Swap -2 and -61
  List after swap: [-100, -72, -61, -2, 54, -79]
  Compare -2 and 54
  No swap needed
  Compare 54 and -79
  Swap 54 and -79
  List after swap: [-100, -72, -61, -2, -79, 54]

Pass 2:
  Compare -100 and -72
  No swap needed
  Compare -72 and -61
  No swap needed
  Compare -61 and -2
  No swap needed
  Compare -2 and -79
  Swap -2 and -79
  List after swap: [-100, -72, -61, -79, -2, 54]

Pass 3:
  Compare -100 and -72
  No swap needed
  Compare -72 and -61
  No swap needed
  Compare -61 and -79
  Swap -61 and -79
  List after swap: [-100, -72, -79, -61, -2, 54]

Pass 4:
  Compare -100 and -72
  No swap needed
  Compare -72 and -79
  Swap -72 and -79
  List after swap: [-100, -79, -72, -61, -2, 54]

Pass 5:
  Compare -100 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -79, -72, -61, -2, 54]
</think>

<response>-100, -79, -72, -61, -2, 54</response>


input: Perform a bubble sort on the integers -40, 44, -27, 91, 70, 37, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-40, 44, -27, 91, 70, 37]

Pass 1:
  Compare -40 and 44
  No swap needed
  Compare 44 and -27
  Swap 44 and -27
  List after swap: [-40, -27, 44, 91, 70, 37]
  Compare 44 and 91
  No swap needed
  Compare 91 and 70
  Swap 91 and 70
  List after swap: [-40, -27, 44, 70, 91, 37]
  Compare 91 and 37
  Swap 91 and 37
  List after swap: [-40, -27, 44, 70, 37, 91]

Pass 2:
  Compare -40 and -27
  No swap needed
  Compare -27 and 44
  No swap needed
  Compare 44 and 70
  No swap needed
  Compare 70 and 37
  Swap 70 and 37
  List after swap: [-40, -27, 44, 37, 70, 91]

Pass 3:
  Compare -40 and -27
  No swap needed
  Compare -27 and 44
  No swap needed
  Compare 44 and 37
  Swap 44 and 37
  List after swap: [-40, -27, 37, 44, 70, 91]

Pass 4:
  Compare -40 and -27
  No swap needed
  Compare -27 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -27, 37, 44, 70, 91]
</think>

<response>-40, -27, 37, 44, 70, 91</response>


input: Execute bubble sort to sort -1, -79, 8, 19 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-1, -79, 8, 19]

Pass 1:
  Compare -1 and -79
  Swap -1 and -79
  List after swap: [-79, -1, 8, 19]
  Compare -1 and 8
  No swap needed
  Compare 8 and 19
  No swap needed

Pass 2:
  Compare -79 and -1
  No swap needed
  Compare -1 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -1, 8, 19]
</think>

<response>-79, -1, 8, 19</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -26, -6, -18, -25, 60, 7, 34.

output:
<think>
Initial list: [-26, -6, -18, -25, 60, 7, 34]

Pass 1:
  Compare -26 and -6
  No swap needed
  Compare -6 and -18
  Swap -6 and -18
  List after swap: [-26, -18, -6, -25, 60, 7, 34]
  Compare -6 and -25
  Swap -6 and -25
  List after swap: [-26, -18, -25, -6, 60, 7, 34]
  Compare -6 and 60
  No swap needed
  Compare 60 and 7
  Swap 60 and 7
  List after swap: [-26, -18, -25, -6, 7, 60, 34]
  Compare 60 and 34
  Swap 60 and 34
  List after swap: [-26, -18, -25, -6, 7, 34, 60]

Pass 2:
  Compare -26 and -18
  No swap needed
  Compare -18 and -25
  Swap -18 and -25
  List after swap: [-26, -25, -18, -6, 7, 34, 60]
  Compare -18 and -6
  No swap needed
  Compare -6 and 7
  No swap needed
  Compare 7 and 34
  No swap needed

Pass 3:
  Compare -26 and -25
  No swap needed
  Compare -25 and -18
  No swap needed
  Compare -18 and -6
  No swap needed
  Compare -6 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, -25, -18, -6, 7, 34, 60]
</think>

<response>-26, -25, -18, -6, 7, 34, 60</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -10, -32, -71, 50, -43, 12, -57, 68, -90.

output:
<think>
Initial list: [-10, -32, -71, 50, -43, 12, -57, 68, -90]

Pass 1:
  Compare -10 and -32
  Swap -10 and -32
  List after swap: [-32, -10, -71, 50, -43, 12, -57, 68, -90]
  Compare -10 and -71
  Swap -10 and -71
  List after swap: [-32, -71, -10, 50, -43, 12, -57, 68, -90]
  Compare -10 and 50
  No swap needed
  Compare 50 and -43
  Swap 50 and -43
  List after swap: [-32, -71, -10, -43, 50, 12, -57, 68, -90]
  Compare 50 and 12
  Swap 50 and 12
  List after swap: [-32, -71, -10, -43, 12, 50, -57, 68, -90]
  Compare 50 and -57
  Swap 50 and -57
  List after swap: [-32, -71, -10, -43, 12, -57, 50, 68, -90]
  Compare 50 and 68
  No swap needed
  Compare 68 and -90
  Swap 68 and -90
  List after swap: [-32, -71, -10, -43, 12, -57, 50, -90, 68]

Pass 2:
  Compare -32 and -71
  Swap -32 and -71
  List after swap: [-71, -32, -10, -43, 12, -57, 50, -90, 68]
  Compare -32 and -10
  No swap needed
  Compare -10 and -43
  Swap -10 and -43
  List after swap: [-71, -32, -43, -10, 12, -57, 50, -90, 68]
  Compare -10 and 12
  No swap needed
  Compare 12 and -57
  Swap 12 and -57
  List after swap: [-71, -32, -43, -10, -57, 12, 50, -90, 68]
  Compare 12 and 50
  No swap needed
  Compare 50 and -90
  Swap 50 and -90
  List after swap: [-71, -32, -43, -10, -57, 12, -90, 50, 68]

Pass 3:
  Compare -71 and -32
  No swap needed
  Compare -32 and -43
  Swap -32 and -43
  List after swap: [-71, -43, -32, -10, -57, 12, -90, 50, 68]
  Compare -32 and -10
  No swap needed
  Compare -10 and -57
  Swap -10 and -57
  List after swap: [-71, -43, -32, -57, -10, 12, -90, 50, 68]
  Compare -10 and 12
  No swap needed
  Compare 12 and -90
  Swap 12 and -90
  List after swap: [-71, -43, -32, -57, -10, -90, 12, 50, 68]

Pass 4:
  Compare -71 and -43
  No swap needed
  Compare -43 and -32
  No swap needed
  Compare -32 and -57
  Swap -32 and -57
  List after swap: [-71, -43, -57, -32, -10, -90, 12, 50, 68]
  Compare -32 and -10
  No swap needed
  Compare -10 and -90
  Swap -10 and -90
  List after swap: [-71, -43, -57, -32, -90, -10, 12, 50, 68]

Pass 5:
  Compare -71 and -43
  No swap needed
  Compare -43 and -57
  Swap -43 and -57
  List after swap: [-71, -57, -43, -32, -90, -10, 12, 50, 68]
  Compare -43 and -32
  No swap needed
  Compare -32 and -90
  Swap -32 and -90
  List after swap: [-71, -57, -43, -90, -32, -10, 12, 50, 68]

Pass 6:
  Compare -71 and -57
  No swap needed
  Compare -57 and -43
  No swap needed
  Compare -43 and -90
  Swap -43 and -90
  List after swap: [-71, -57, -90, -43, -32, -10, 12, 50, 68]

Pass 7:
  Compare -71 and -57
  No swap needed
  Compare -57 and -90
  Swap -57 and -90
  List after swap: [-71, -90, -57, -43, -32, -10, 12, 50, 68]

Pass 8:
  Compare -71 and -90
  Swap -71 and -90
  List after swap: [-90, -71, -57, -43, -32, -10, 12, 50, 68]

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

Final sorted list: [-90, -71, -57, -43, -32, -10, 12, 50, 68]
</think>

<response>-90, -71, -57, -43, -32, -10, 12, 50, 68</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 46, -68, -4.

output:
<think>
Initial list: [46, -68, -4]

Pass 1:
  Compare 46 and -68
  Swap 46 and -68
  List after swap: [-68, 46, -4]
  Compare 46 and -4
  Swap 46 and -4
  List after swap: [-68, -4, 46]

Pass 2:
  Compare -68 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -4, 46]
</think>

<response>-68, -4, 46</response>


input: Using the bubble sort method, sort -42, -44, -3 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-42, -44, -3]

Pass 1:
  Compare -42 and -44
  Swap -42 and -44
  List after swap: [-44, -42, -3]
  Compare -42 and -3
  No swap needed

Pass 2:
  Compare -44 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, -42, -3]
</think>

<response>-44, -42, -3</response>


input: Carry out the bubble sort algorithm on 87, 90, 6 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [87, 90, 6]

Pass 1:
  Compare 87 and 90
  No swap needed
  Compare 90 and 6
  Swap 90 and 6
  List after swap: [87, 6, 90]

Pass 2:
  Compare 87 and 6
  Swap 87 and 6
  List after swap: [6, 87, 90]

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

Final sorted list: [6, 87, 90]
</think>

<response>6, 87, 90</response>


input: Carry out the bubble sort algorithm on 30, -99, 74, -44, 65, 97 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [30, -99, 74, -44, 65, 97]

Pass 1:
  Compare 30 and -99
  Swap 30 and -99
  List after swap: [-99, 30, 74, -44, 65, 97]
  Compare 30 and 74
  No swap needed
  Compare 74 and -44
  Swap 74 and -44
  List after swap: [-99, 30, -44, 74, 65, 97]
  Compare 74 and 65
  Swap 74 and 65
  List after swap: [-99, 30, -44, 65, 74, 97]
  Compare 74 and 97
  No swap needed

Pass 2:
  Compare -99 and 30
  No swap needed
  Compare 30 and -44
  Swap 30 and -44
  List after swap: [-99, -44, 30, 65, 74, 97]
  Compare 30 and 65
  No swap needed
  Compare 65 and 74
  No swap needed

Pass 3:
  Compare -99 and -44
  No swap needed
  Compare -44 and 30
  No swap needed
  Compare 30 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -44, 30, 65, 74, 97]
</think>

<response>-99, -44, 30, 65, 74, 97</response>


input: Sort these integers -77, 29, 59, -84, 61, -76, -17, 32, -9 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-77, 29, 59, -84, 61, -76, -17, 32, -9]

Pass 1:
  Compare -77 and 29
  No swap needed
  Compare 29 and 59
  No swap needed
  Compare 59 and -84
  Swap 59 and -84
  List after swap: [-77, 29, -84, 59, 61, -76, -17, 32, -9]
  Compare 59 and 61
  No swap needed
  Compare 61 and -76
  Swap 61 and -76
  List after swap: [-77, 29, -84, 59, -76, 61, -17, 32, -9]
  Compare 61 and -17
  Swap 61 and -17
  List after swap: [-77, 29, -84, 59, -76, -17, 61, 32, -9]
  Compare 61 and 32
  Swap 61 and 32
  List after swap: [-77, 29, -84, 59, -76, -17, 32, 61, -9]
  Compare 61 and -9
  Swap 61 and -9
  List after swap: [-77, 29, -84, 59, -76, -17, 32, -9, 61]

Pass 2:
  Compare -77 and 29
  No swap needed
  Compare 29 and -84
  Swap 29 and -84
  List after swap: [-77, -84, 29, 59, -76, -17, 32, -9, 61]
  Compare 29 and 59
  No swap needed
  Compare 59 and -76
  Swap 59 and -76
  List after swap: [-77, -84, 29, -76, 59, -17, 32, -9, 61]
  Compare 59 and -17
  Swap 59 and -17
  List after swap: [-77, -84, 29, -76, -17, 59, 32, -9, 61]
  Compare 59 and 32
  Swap 59 and 32
  List after swap: [-77, -84, 29, -76, -17, 32, 59, -9, 61]
  Compare 59 and -9
  Swap 59 and -9
  List after swap: [-77, -84, 29, -76, -17, 32, -9, 59, 61]

Pass 3:
  Compare -77 and -84
  Swap -77 and -84
  List after swap: [-84, -77, 29, -76, -17, 32, -9, 59, 61]
  Compare -77 and 29
  No swap needed
  Compare 29 and -76
  Swap 29 and -76
  List after swap: [-84, -77, -76, 29, -17, 32, -9, 59, 61]
  Compare 29 and -17
  Swap 29 and -17
  List after swap: [-84, -77, -76, -17, 29, 32, -9, 59, 61]
  Compare 29 and 32
  No swap needed
  Compare 32 and -9
  Swap 32 and -9
  List after swap: [-84, -77, -76, -17, 29, -9, 32, 59, 61]

Pass 4:
  Compare -84 and -77
  No swap needed
  Compare -77 and -76
  No swap needed
  Compare -76 and -17
  No swap needed
  Compare -17 and 29
  No swap needed
  Compare 29 and -9
  Swap 29 and -9
  List after swap: [-84, -77, -76, -17, -9, 29, 32, 59, 61]

Pass 5:
  Compare -84 and -77
  No swap needed
  Compare -77 and -76
  No swap needed
  Compare -76 and -17
  No swap needed
  Compare -17 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -77, -76, -17, -9, 29, 32, 59, 61]
</think>

<response>-84, -77, -76, -17, -9, 29, 32, 59, 61</response>


input: Implement bubble sort on -13, -70, -33, 44 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-13, -70, -33, 44]

Pass 1:
  Compare -13 and -70
  Swap -13 and -70
  List after swap: [-70, -13, -33, 44]
  Compare -13 and -33
  Swap -13 and -33
  List after swap: [-70, -33, -13, 44]
  Compare -13 and 44
  No swap needed

Pass 2:
  Compare -70 and -33
  No swap needed
  Compare -33 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -33, -13, 44]
</think>

<response>-70, -33, -13, 44</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 28, -60, -97, -37, 90, -95, -71.

output:
<think>
Initial list: [28, -60, -97, -37, 90, -95, -71]

Pass 1:
  Compare 28 and -60
  Swap 28 and -60
  List after swap: [-60, 28, -97, -37, 90, -95, -71]
  Compare 28 and -97
  Swap 28 and -97
  List after swap: [-60, -97, 28, -37, 90, -95, -71]
  Compare 28 and -37
  Swap 28 and -37
  List after swap: [-60, -97, -37, 28, 90, -95, -71]
  Compare 28 and 90
  No swap needed
  Compare 90 and -95
  Swap 90 and -95
  List after swap: [-60, -97, -37, 28, -95, 90, -71]
  Compare 90 and -71
  Swap 90 and -71
  List after swap: [-60, -97, -37, 28, -95, -71, 90]

Pass 2:
  Compare -60 and -97
  Swap -60 and -97
  List after swap: [-97, -60, -37, 28, -95, -71, 90]
  Compare -60 and -37
  No swap needed
  Compare -37 and 28
  No swap needed
  Compare 28 and -95
  Swap 28 and -95
  List after swap: [-97, -60, -37, -95, 28, -71, 90]
  Compare 28 and -71
  Swap 28 and -71
  List after swap: [-97, -60, -37, -95, -71, 28, 90]

Pass 3:
  Compare -97 and -60
  No swap needed
  Compare -60 and -37
  No swap needed
  Compare -37 and -95
  Swap -37 and -95
  List after swap: [-97, -60, -95, -37, -71, 28, 90]
  Compare -37 and -71
  Swap -37 and -71
  List after swap: [-97, -60, -95, -71, -37, 28, 90]

Pass 4:
  Compare -97 and -60
  No swap needed
  Compare -60 and -95
  Swap -60 and -95
  List after swap: [-97, -95, -60, -71, -37, 28, 90]
  Compare -60 and -71
  Swap -60 and -71
  List after swap: [-97, -95, -71, -60, -37, 28, 90]

Pass 5:
  Compare -97 and -95
  No swap needed
  Compare -95 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -95, -71, -60, -37, 28, 90]
</think>

<response>-97, -95, -71, -60, -37, 28, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 77, 75, 48, 36, -6, -33, -41, -100, 11.

output:
<think>
Initial list: [77, 75, 48, 36, -6, -33, -41, -100, 11]

Pass 1:
  Compare 77 and 75
  Swap 77 and 75
  List after swap: [75, 77, 48, 36, -6, -33, -41, -100, 11]
  Compare 77 and 48
  Swap 77 and 48
  List after swap: [75, 48, 77, 36, -6, -33, -41, -100, 11]
  Compare 77 and 36
  Swap 77 and 36
  List after swap: [75, 48, 36, 77, -6, -33, -41, -100, 11]
  Compare 77 and -6
  Swap 77 and -6
  List after swap: [75, 48, 36, -6, 77, -33, -41, -100, 11]
  Compare 77 and -33
  Swap 77 and -33
  List after swap: [75, 48, 36, -6, -33, 77, -41, -100, 11]
  Compare 77 and -41
  Swap 77 and -41
  List after swap: [75, 48, 36, -6, -33, -41, 77, -100, 11]
  Compare 77 and -100
  Swap 77 and -100
  List after swap: [75, 48, 36, -6, -33, -41, -100, 77, 11]
  Compare 77 and 11
  Swap 77 and 11
  List after swap: [75, 48, 36, -6, -33, -41, -100, 11, 77]

Pass 2:
  Compare 75 and 48
  Swap 75 and 48
  List after swap: [48, 75, 36, -6, -33, -41, -100, 11, 77]
  Compare 75 and 36
  Swap 75 and 36
  List after swap: [48, 36, 75, -6, -33, -41, -100, 11, 77]
  Compare 75 and -6
  Swap 75 and -6
  List after swap: [48, 36, -6, 75, -33, -41, -100, 11, 77]
  Compare 75 and -33
  Swap 75 and -33
  List after swap: [48, 36, -6, -33, 75, -41, -100, 11, 77]
  Compare 75 and -41
  Swap 75 and -41
  List after swap: [48, 36, -6, -33, -41, 75, -100, 11, 77]
  Compare 75 and -100
  Swap 75 and -100
  List after swap: [48, 36, -6, -33, -41, -100, 75, 11, 77]
  Compare 75 and 11
  Swap 75 and 11
  List after swap: [48, 36, -6, -33, -41, -100, 11, 75, 77]

Pass 3:
  Compare 48 and 36
  Swap 48 and 36
  List after swap: [36, 48, -6, -33, -41, -100, 11, 75, 77]
  Compare 48 and -6
  Swap 48 and -6
  List after swap: [36, -6, 48, -33, -41, -100, 11, 75, 77]
  Compare 48 and -33
  Swap 48 and -33
  List after swap: [36, -6, -33, 48, -41, -100, 11, 75, 77]
  Compare 48 and -41
  Swap 48 and -41
  List after swap: [36, -6, -33, -41, 48, -100, 11, 75, 77]
  Compare 48 and -100
  Swap 48 and -100
  List after swap: [36, -6, -33, -41, -100, 48, 11, 75, 77]
  Compare 48 and 11
  Swap 48 and 11
  List after swap: [36, -6, -33, -41, -100, 11, 48, 75, 77]

Pass 4:
  Compare 36 and -6
  Swap 36 and -6
  List after swap: [-6, 36, -33, -41, -100, 11, 48, 75, 77]
  Compare 36 and -33
  Swap 36 and -33
  List after swap: [-6, -33, 36, -41, -100, 11, 48, 75, 77]
  Compare 36 and -41
  Swap 36 and -41
  List after swap: [-6, -33, -41, 36, -100, 11, 48, 75, 77]
  Compare 36 and -100
  Swap 36 and -100
  List after swap: [-6, -33, -41, -100, 36, 11, 48, 75, 77]
  Compare 36 and 11
  Swap 36 and 11
  List after swap: [-6, -33, -41, -100, 11, 36, 48, 75, 77]

Pass 5:
  Compare -6 and -33
  Swap -6 and -33
  List after swap: [-33, -6, -41, -100, 11, 36, 48, 75, 77]
  Compare -6 and -41
  Swap -6 and -41
  List after swap: [-33, -41, -6, -100, 11, 36, 48, 75, 77]
  Compare -6 and -100
  Swap -6 and -100
  List after swap: [-33, -41, -100, -6, 11, 36, 48, 75, 77]
  Compare -6 and 11
  No swap needed

Pass 6:
  Compare -33 and -41
  Swap -33 and -41
  List after swap: [-41, -33, -100, -6, 11, 36, 48, 75, 77]
  Compare -33 and -100
  Swap -33 and -100
  List after swap: [-41, -100, -33, -6, 11, 36, 48, 75, 77]
  Compare -33 and -6
  No swap needed

Pass 7:
  Compare -41 and -100
  Swap -41 and -100
  List after swap: [-100, -41, -33, -6, 11, 36, 48, 75, 77]
  Compare -41 and -33
  No swap needed

Pass 8:
  Compare -100 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -41, -33, -6, 11, 36, 48, 75, 77]
</think>

<response>-100, -41, -33, -6, 11, 36, 48, 75, 77</response>


input: Implement bubble sort on -12, -21 to achieve ascending order, writing out each step in detail.

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

Pass 1:
  Compare -12 and -21
  Swap -12 and -21
  List after swap: [-21, -12]

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

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

<response>-21, -12</response>


input: Sort the list -100, -50, -15 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-100, -50, -15]

Pass 1:
  Compare -100 and -50
  No swap needed
  Compare -50 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -50, -15]
</think>

<response>-100, -50, -15</response>


input: Implement bubble sort on 38, -73 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [38, -73]

Pass 1:
  Compare 38 and -73
  Swap 38 and -73
  List after swap: [-73, 38]

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

Final sorted list: [-73, 38]
</think>

<response>-73, 38</response>


input: Implement bubble sort on 62, -47, -86, 8, 92, 4, 43 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [62, -47, -86, 8, 92, 4, 43]

Pass 1:
  Compare 62 and -47
  Swap 62 and -47
  List after swap: [-47, 62, -86, 8, 92, 4, 43]
  Compare 62 and -86
  Swap 62 and -86
  List after swap: [-47, -86, 62, 8, 92, 4, 43]
  Compare 62 and 8
  Swap 62 and 8
  List after swap: [-47, -86, 8, 62, 92, 4, 43]
  Compare 62 and 92
  No swap needed
  Compare 92 and 4
  Swap 92 and 4
  List after swap: [-47, -86, 8, 62, 4, 92, 43]
  Compare 92 and 43
  Swap 92 and 43
  List after swap: [-47, -86, 8, 62, 4, 43, 92]

Pass 2:
  Compare -47 and -86
  Swap -47 and -86
  List after swap: [-86, -47, 8, 62, 4, 43, 92]
  Compare -47 and 8
  No swap needed
  Compare 8 and 62
  No swap needed
  Compare 62 and 4
  Swap 62 and 4
  List after swap: [-86, -47, 8, 4, 62, 43, 92]
  Compare 62 and 43
  Swap 62 and 43
  List after swap: [-86, -47, 8, 4, 43, 62, 92]

Pass 3:
  Compare -86 and -47
  No swap needed
  Compare -47 and 8
  No swap needed
  Compare 8 and 4
  Swap 8 and 4
  List after swap: [-86, -47, 4, 8, 43, 62, 92]
  Compare 8 and 43
  No swap needed

Pass 4:
  Compare -86 and -47
  No swap needed
  Compare -47 and 4
  No swap needed
  Compare 4 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -47, 4, 8, 43, 62, 92]
</think>

<response>-86, -47, 4, 8, 43, 62, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -52, 53, 90.

output:
<think>
Initial list: [-52, 53, 90]

Pass 1:
  Compare -52 and 53
  No swap needed
  Compare 53 and 90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, 53, 90]
</think>

<response>-52, 53, 90</response>


input: Sort these integers -54, 67, 59, 64, 23, 98, -74, -86 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-54, 67, 59, 64, 23, 98, -74, -86]

Pass 1:
  Compare -54 and 67
  No swap needed
  Compare 67 and 59
  Swap 67 and 59
  List after swap: [-54, 59, 67, 64, 23, 98, -74, -86]
  Compare 67 and 64
  Swap 67 and 64
  List after swap: [-54, 59, 64, 67, 23, 98, -74, -86]
  Compare 67 and 23
  Swap 67 and 23
  List after swap: [-54, 59, 64, 23, 67, 98, -74, -86]
  Compare 67 and 98
  No swap needed
  Compare 98 and -74
  Swap 98 and -74
  List after swap: [-54, 59, 64, 23, 67, -74, 98, -86]
  Compare 98 and -86
  Swap 98 and -86
  List after swap: [-54, 59, 64, 23, 67, -74, -86, 98]

Pass 2:
  Compare -54 and 59
  No swap needed
  Compare 59 and 64
  No swap needed
  Compare 64 and 23
  Swap 64 and 23
  List after swap: [-54, 59, 23, 64, 67, -74, -86, 98]
  Compare 64 and 67
  No swap needed
  Compare 67 and -74
  Swap 67 and -74
  List after swap: [-54, 59, 23, 64, -74, 67, -86, 98]
  Compare 67 and -86
  Swap 67 and -86
  List after swap: [-54, 59, 23, 64, -74, -86, 67, 98]

Pass 3:
  Compare -54 and 59
  No swap needed
  Compare 59 and 23
  Swap 59 and 23
  List after swap: [-54, 23, 59, 64, -74, -86, 67, 98]
  Compare 59 and 64
  No swap needed
  Compare 64 and -74
  Swap 64 and -74
  List after swap: [-54, 23, 59, -74, 64, -86, 67, 98]
  Compare 64 and -86
  Swap 64 and -86
  List after swap: [-54, 23, 59, -74, -86, 64, 67, 98]

Pass 4:
  Compare -54 and 23
  No swap needed
  Compare 23 and 59
  No swap needed
  Compare 59 and -74
  Swap 59 and -74
  List after swap: [-54, 23, -74, 59, -86, 64, 67, 98]
  Compare 59 and -86
  Swap 59 and -86
  List after swap: [-54, 23, -74, -86, 59, 64, 67, 98]

Pass 5:
  Compare -54 and 23
  No swap needed
  Compare 23 and -74
  Swap 23 and -74
  List after swap: [-54, -74, 23, -86, 59, 64, 67, 98]
  Compare 23 and -86
  Swap 23 and -86
  List after swap: [-54, -74, -86, 23, 59, 64, 67, 98]

Pass 6:
  Compare -54 and -74
  Swap -54 and -74
  List after swap: [-74, -54, -86, 23, 59, 64, 67, 98]
  Compare -54 and -86
  Swap -54 and -86
  List after swap: [-74, -86, -54, 23, 59, 64, 67, 98]

Pass 7:
  Compare -74 and -86
  Swap -74 and -86
  List after swap: [-86, -74, -54, 23, 59, 64, 67, 98]

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

Final sorted list: [-86, -74, -54, 23, 59, 64, 67, 98]
</think>

<response>-86, -74, -54, 23, 59, 64, 67, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -76, 12, 99, -62, -98, 47, 28, -2.

output:
<think>
Initial list: [-76, 12, 99, -62, -98, 47, 28, -2]

Pass 1:
  Compare -76 and 12
  No swap needed
  Compare 12 and 99
  No swap needed
  Compare 99 and -62
  Swap 99 and -62
  List after swap: [-76, 12, -62, 99, -98, 47, 28, -2]
  Compare 99 and -98
  Swap 99 and -98
  List after swap: [-76, 12, -62, -98, 99, 47, 28, -2]
  Compare 99 and 47
  Swap 99 and 47
  List after swap: [-76, 12, -62, -98, 47, 99, 28, -2]
  Compare 99 and 28
  Swap 99 and 28
  List after swap: [-76, 12, -62, -98, 47, 28, 99, -2]
  Compare 99 and -2
  Swap 99 and -2
  List after swap: [-76, 12, -62, -98, 47, 28, -2, 99]

Pass 2:
  Compare -76 and 12
  No swap needed
  Compare 12 and -62
  Swap 12 and -62
  List after swap: [-76, -62, 12, -98, 47, 28, -2, 99]
  Compare 12 and -98
  Swap 12 and -98
  List after swap: [-76, -62, -98, 12, 47, 28, -2, 99]
  Compare 12 and 47
  No swap needed
  Compare 47 and 28
  Swap 47 and 28
  List after swap: [-76, -62, -98, 12, 28, 47, -2, 99]
  Compare 47 and -2
  Swap 47 and -2
  List after swap: [-76, -62, -98, 12, 28, -2, 47, 99]

Pass 3:
  Compare -76 and -62
  No swap needed
  Compare -62 and -98
  Swap -62 and -98
  List after swap: [-76, -98, -62, 12, 28, -2, 47, 99]
  Compare -62 and 12
  No swap needed
  Compare 12 and 28
  No swap needed
  Compare 28 and -2
  Swap 28 and -2
  List after swap: [-76, -98, -62, 12, -2, 28, 47, 99]

Pass 4:
  Compare -76 and -98
  Swap -76 and -98
  List after swap: [-98, -76, -62, 12, -2, 28, 47, 99]
  Compare -76 and -62
  No swap needed
  Compare -62 and 12
  No swap needed
  Compare 12 and -2
  Swap 12 and -2
  List after swap: [-98, -76, -62, -2, 12, 28, 47, 99]

Pass 5:
  Compare -98 and -76
  No swap needed
  Compare -76 and -62
  No swap needed
  Compare -62 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -76, -62, -2, 12, 28, 47, 99]
</think>

<response>-98, -76, -62, -2, 12, 28, 47, 99</response>


input: Use the bubble sort technique to reorder -77, -52, 79, 48, 0, 53 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-77, -52, 79, 48, 0, 53]

Pass 1:
  Compare -77 and -52
  No swap needed
  Compare -52 and 79
  No swap needed
  Compare 79 and 48
  Swap 79 and 48
  List after swap: [-77, -52, 48, 79, 0, 53]
  Compare 79 and 0
  Swap 79 and 0
  List after swap: [-77, -52, 48, 0, 79, 53]
  Compare 79 and 53
  Swap 79 and 53
  List after swap: [-77, -52, 48, 0, 53, 79]

Pass 2:
  Compare -77 and -52
  No swap needed
  Compare -52 and 48
  No swap needed
  Compare 48 and 0
  Swap 48 and 0
  List after swap: [-77, -52, 0, 48, 53, 79]
  Compare 48 and 53
  No swap needed

Pass 3:
  Compare -77 and -52
  No swap needed
  Compare -52 and 0
  No swap needed
  Compare 0 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -52, 0, 48, 53, 79]
</think>

<response>-77, -52, 0, 48, 53, 79</response>


input: Sort the list 37, 20, -87, 17, -59, -74, 90, 73, 15 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [37, 20, -87, 17, -59, -74, 90, 73, 15]

Pass 1:
  Compare 37 and 20
  Swap 37 and 20
  List after swap: [20, 37, -87, 17, -59, -74, 90, 73, 15]
  Compare 37 and -87
  Swap 37 and -87
  List after swap: [20, -87, 37, 17, -59, -74, 90, 73, 15]
  Compare 37 and 17
  Swap 37 and 17
  List after swap: [20, -87, 17, 37, -59, -74, 90, 73, 15]
  Compare 37 and -59
  Swap 37 and -59
  List after swap: [20, -87, 17, -59, 37, -74, 90, 73, 15]
  Compare 37 and -74
  Swap 37 and -74
  List after swap: [20, -87, 17, -59, -74, 37, 90, 73, 15]
  Compare 37 and 90
  No swap needed
  Compare 90 and 73
  Swap 90 and 73
  List after swap: [20, -87, 17, -59, -74, 37, 73, 90, 15]
  Compare 90 and 15
  Swap 90 and 15
  List after swap: [20, -87, 17, -59, -74, 37, 73, 15, 90]

Pass 2:
  Compare 20 and -87
  Swap 20 and -87
  List after swap: [-87, 20, 17, -59, -74, 37, 73, 15, 90]
  Compare 20 and 17
  Swap 20 and 17
  List after swap: [-87, 17, 20, -59, -74, 37, 73, 15, 90]
  Compare 20 and -59
  Swap 20 and -59
  List after swap: [-87, 17, -59, 20, -74, 37, 73, 15, 90]
  Compare 20 and -74
  Swap 20 and -74
  List after swap: [-87, 17, -59, -74, 20, 37, 73, 15, 90]
  Compare 20 and 37
  No swap needed
  Compare 37 and 73
  No swap needed
  Compare 73 and 15
  Swap 73 and 15
  List after swap: [-87, 17, -59, -74, 20, 37, 15, 73, 90]

Pass 3:
  Compare -87 and 17
  No swap needed
  Compare 17 and -59
  Swap 17 and -59
  List after swap: [-87, -59, 17, -74, 20, 37, 15, 73, 90]
  Compare 17 and -74
  Swap 17 and -74
  List after swap: [-87, -59, -74, 17, 20, 37, 15, 73, 90]
  Compare 17 and 20
  No swap needed
  Compare 20 and 37
  No swap needed
  Compare 37 and 15
  Swap 37 and 15
  List after swap: [-87, -59, -74, 17, 20, 15, 37, 73, 90]

Pass 4:
  Compare -87 and -59
  No swap needed
  Compare -59 and -74
  Swap -59 and -74
  List after swap: [-87, -74, -59, 17, 20, 15, 37, 73, 90]
  Compare -59 and 17
  No swap needed
  Compare 17 and 20
  No swap needed
  Compare 20 and 15
  Swap 20 and 15
  List after swap: [-87, -74, -59, 17, 15, 20, 37, 73, 90]

Pass 5:
  Compare -87 and -74
  No swap needed
  Compare -74 and -59
  No swap needed
  Compare -59 and 17
  No swap needed
  Compare 17 and 15
  Swap 17 and 15
  List after swap: [-87, -74, -59, 15, 17, 20, 37, 73, 90]

Pass 6:
  Compare -87 and -74
  No swap needed
  Compare -74 and -59
  No swap needed
  Compare -59 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -74, -59, 15, 17, 20, 37, 73, 90]
</think>

<response>-87, -74, -59, 15, 17, 20, 37, 73, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -83, 63.

output:
<think>
Initial list: [-83, 63]

Pass 1:
  Compare -83 and 63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, 63]
</think>

<response>-83, 63</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -83, -90, 43, 69, 53, -13, -92, -56, -51, 23.

output:
<think>
Initial list: [-83, -90, 43, 69, 53, -13, -92, -56, -51, 23]

Pass 1:
  Compare -83 and -90
  Swap -83 and -90
  List after swap: [-90, -83, 43, 69, 53, -13, -92, -56, -51, 23]
  Compare -83 and 43
  No swap needed
  Compare 43 and 69
  No swap needed
  Compare 69 and 53
  Swap 69 and 53
  List after swap: [-90, -83, 43, 53, 69, -13, -92, -56, -51, 23]
  Compare 69 and -13
  Swap 69 and -13
  List after swap: [-90, -83, 43, 53, -13, 69, -92, -56, -51, 23]
  Compare 69 and -92
  Swap 69 and -92
  List after swap: [-90, -83, 43, 53, -13, -92, 69, -56, -51, 23]
  Compare 69 and -56
  Swap 69 and -56
  List after swap: [-90, -83, 43, 53, -13, -92, -56, 69, -51, 23]
  Compare 69 and -51
  Swap 69 and -51
  List after swap: [-90, -83, 43, 53, -13, -92, -56, -51, 69, 23]
  Compare 69 and 23
  Swap 69 and 23
  List after swap: [-90, -83, 43, 53, -13, -92, -56, -51, 23, 69]

Pass 2:
  Compare -90 and -83
  No swap needed
  Compare -83 and 43
  No swap needed
  Compare 43 and 53
  No swap needed
  Compare 53 and -13
  Swap 53 and -13
  List after swap: [-90, -83, 43, -13, 53, -92, -56, -51, 23, 69]
  Compare 53 and -92
  Swap 53 and -92
  List after swap: [-90, -83, 43, -13, -92, 53, -56, -51, 23, 69]
  Compare 53 and -56
  Swap 53 and -56
  List after swap: [-90, -83, 43, -13, -92, -56, 53, -51, 23, 69]
  Compare 53 and -51
  Swap 53 and -51
  List after swap: [-90, -83, 43, -13, -92, -56, -51, 53, 23, 69]
  Compare 53 and 23
  Swap 53 and 23
  List after swap: [-90, -83, 43, -13, -92, -56, -51, 23, 53, 69]

Pass 3:
  Compare -90 and -83
  No swap needed
  Compare -83 and 43
  No swap needed
  Compare 43 and -13
  Swap 43 and -13
  List after swap: [-90, -83, -13, 43, -92, -56, -51, 23, 53, 69]
  Compare 43 and -92
  Swap 43 and -92
  List after swap: [-90, -83, -13, -92, 43, -56, -51, 23, 53, 69]
  Compare 43 and -56
  Swap 43 and -56
  List after swap: [-90, -83, -13, -92, -56, 43, -51, 23, 53, 69]
  Compare 43 and -51
  Swap 43 and -51
  List after swap: [-90, -83, -13, -92, -56, -51, 43, 23, 53, 69]
  Compare 43 and 23
  Swap 43 and 23
  List after swap: [-90, -83, -13, -92, -56, -51, 23, 43, 53, 69]

Pass 4:
  Compare -90 and -83
  No swap needed
  Compare -83 and -13
  No swap needed
  Compare -13 and -92
  Swap -13 and -92
  List after swap: [-90, -83, -92, -13, -56, -51, 23, 43, 53, 69]
  Compare -13 and -56
  Swap -13 and -56
  List after swap: [-90, -83, -92, -56, -13, -51, 23, 43, 53, 69]
  Compare -13 and -51
  Swap -13 and -51
  List after swap: [-90, -83, -92, -56, -51, -13, 23, 43, 53, 69]
  Compare -13 and 23
  No swap needed

Pass 5:
  Compare -90 and -83
  No swap needed
  Compare -83 and -92
  Swap -83 and -92
  List after swap: [-90, -92, -83, -56, -51, -13, 23, 43, 53, 69]
  Compare -83 and -56
  No swap needed
  Compare -56 and -51
  No swap needed
  Compare -51 and -13
  No swap needed

Pass 6:
  Compare -90 and -92
  Swap -90 and -92
  List after swap: [-92, -90, -83, -56, -51, -13, 23, 43, 53, 69]
  Compare -90 and -83
  No swap needed
  Compare -83 and -56
  No swap needed
  Compare -56 and -51
  No swap needed

Pass 7:
  Compare -92 and -90
  No swap needed
  Compare -90 and -83
  No swap needed
  Compare -83 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -90, -83, -56, -51, -13, 23, 43, 53, 69]
</think>

<response>-92, -90, -83, -56, -51, -13, 23, 43, 53, 69</response>


input: Using the bubble sort method, sort 20, -85, 85, -84, 16, 87, 17, 10 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [20, -85, 85, -84, 16, 87, 17, 10]

Pass 1:
  Compare 20 and -85
  Swap 20 and -85
  List after swap: [-85, 20, 85, -84, 16, 87, 17, 10]
  Compare 20 and 85
  No swap needed
  Compare 85 and -84
  Swap 85 and -84
  List after swap: [-85, 20, -84, 85, 16, 87, 17, 10]
  Compare 85 and 16
  Swap 85 and 16
  List after swap: [-85, 20, -84, 16, 85, 87, 17, 10]
  Compare 85 and 87
  No swap needed
  Compare 87 and 17
  Swap 87 and 17
  List after swap: [-85, 20, -84, 16, 85, 17, 87, 10]
  Compare 87 and 10
  Swap 87 and 10
  List after swap: [-85, 20, -84, 16, 85, 17, 10, 87]

Pass 2:
  Compare -85 and 20
  No swap needed
  Compare 20 and -84
  Swap 20 and -84
  List after swap: [-85, -84, 20, 16, 85, 17, 10, 87]
  Compare 20 and 16
  Swap 20 and 16
  List after swap: [-85, -84, 16, 20, 85, 17, 10, 87]
  Compare 20 and 85
  No swap needed
  Compare 85 and 17
  Swap 85 and 17
  List after swap: [-85, -84, 16, 20, 17, 85, 10, 87]
  Compare 85 and 10
  Swap 85 and 10
  List after swap: [-85, -84, 16, 20, 17, 10, 85, 87]

Pass 3:
  Compare -85 and -84
  No swap needed
  Compare -84 and 16
  No swap needed
  Compare 16 and 20
  No swap needed
  Compare 20 and 17
  Swap 20 and 17
  List after swap: [-85, -84, 16, 17, 20, 10, 85, 87]
  Compare 20 and 10
  Swap 20 and 10
  List after swap: [-85, -84, 16, 17, 10, 20, 85, 87]

Pass 4:
  Compare -85 and -84
  No swap needed
  Compare -84 and 16
  No swap needed
  Compare 16 and 17
  No swap needed
  Compare 17 and 10
  Swap 17 and 10
  List after swap: [-85, -84, 16, 10, 17, 20, 85, 87]

Pass 5:
  Compare -85 and -84
  No swap needed
  Compare -84 and 16
  No swap needed
  Compare 16 and 10
  Swap 16 and 10
  List after swap: [-85, -84, 10, 16, 17, 20, 85, 87]

Pass 6:
  Compare -85 and -84
  No swap needed
  Compare -84 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -84, 10, 16, 17, 20, 85, 87]
</think>

<response>-85, -84, 10, 16, 17, 20, 85, 87</response>


input: Implement bubble sort on 18, -19, -50, 5, 9, 52 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [18, -19, -50, 5, 9, 52]

Pass 1:
  Compare 18 and -19
  Swap 18 and -19
  List after swap: [-19, 18, -50, 5, 9, 52]
  Compare 18 and -50
  Swap 18 and -50
  List after swap: [-19, -50, 18, 5, 9, 52]
  Compare 18 and 5
  Swap 18 and 5
  List after swap: [-19, -50, 5, 18, 9, 52]
  Compare 18 and 9
  Swap 18 and 9
  List after swap: [-19, -50, 5, 9, 18, 52]
  Compare 18 and 52
  No swap needed

Pass 2:
  Compare -19 and -50
  Swap -19 and -50
  List after swap: [-50, -19, 5, 9, 18, 52]
  Compare -19 and 5
  No swap needed
  Compare 5 and 9
  No swap needed
  Compare 9 and 18
  No swap needed

Pass 3:
  Compare -50 and -19
  No swap needed
  Compare -19 and 5
  No swap needed
  Compare 5 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -19, 5, 9, 18, 52]
</think>

<response>-50, -19, 5, 9, 18, 52</response>