input: Use the bubble sort technique to reorder -50, 43, 24, -47, -76 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-50, 43, 24, -47, -76]

Pass 1:
  Compare -50 and 43
  No swap needed
  Compare 43 and 24
  Swap 43 and 24
  List after swap: [-50, 24, 43, -47, -76]
  Compare 43 and -47
  Swap 43 and -47
  List after swap: [-50, 24, -47, 43, -76]
  Compare 43 and -76
  Swap 43 and -76
  List after swap: [-50, 24, -47, -76, 43]

Pass 2:
  Compare -50 and 24
  No swap needed
  Compare 24 and -47
  Swap 24 and -47
  List after swap: [-50, -47, 24, -76, 43]
  Compare 24 and -76
  Swap 24 and -76
  List after swap: [-50, -47, -76, 24, 43]

Pass 3:
  Compare -50 and -47
  No swap needed
  Compare -47 and -76
  Swap -47 and -76
  List after swap: [-50, -76, -47, 24, 43]

Pass 4:
  Compare -50 and -76
  Swap -50 and -76
  List after swap: [-76, -50, -47, 24, 43]

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

Final sorted list: [-76, -50, -47, 24, 43]
</think>

<response>-76, -50, -47, 24, 43</response>


input: Demonstrate how bubble sort orders the integers 93, -12, 43, -90, -21, 30, -28, 82 in ascending sequence, showing all steps.

output:
<think>
Initial list: [93, -12, 43, -90, -21, 30, -28, 82]

Pass 1:
  Compare 93 and -12
  Swap 93 and -12
  List after swap: [-12, 93, 43, -90, -21, 30, -28, 82]
  Compare 93 and 43
  Swap 93 and 43
  List after swap: [-12, 43, 93, -90, -21, 30, -28, 82]
  Compare 93 and -90
  Swap 93 and -90
  List after swap: [-12, 43, -90, 93, -21, 30, -28, 82]
  Compare 93 and -21
  Swap 93 and -21
  List after swap: [-12, 43, -90, -21, 93, 30, -28, 82]
  Compare 93 and 30
  Swap 93 and 30
  List after swap: [-12, 43, -90, -21, 30, 93, -28, 82]
  Compare 93 and -28
  Swap 93 and -28
  List after swap: [-12, 43, -90, -21, 30, -28, 93, 82]
  Compare 93 and 82
  Swap 93 and 82
  List after swap: [-12, 43, -90, -21, 30, -28, 82, 93]

Pass 2:
  Compare -12 and 43
  No swap needed
  Compare 43 and -90
  Swap 43 and -90
  List after swap: [-12, -90, 43, -21, 30, -28, 82, 93]
  Compare 43 and -21
  Swap 43 and -21
  List after swap: [-12, -90, -21, 43, 30, -28, 82, 93]
  Compare 43 and 30
  Swap 43 and 30
  List after swap: [-12, -90, -21, 30, 43, -28, 82, 93]
  Compare 43 and -28
  Swap 43 and -28
  List after swap: [-12, -90, -21, 30, -28, 43, 82, 93]
  Compare 43 and 82
  No swap needed

Pass 3:
  Compare -12 and -90
  Swap -12 and -90
  List after swap: [-90, -12, -21, 30, -28, 43, 82, 93]
  Compare -12 and -21
  Swap -12 and -21
  List after swap: [-90, -21, -12, 30, -28, 43, 82, 93]
  Compare -12 and 30
  No swap needed
  Compare 30 and -28
  Swap 30 and -28
  List after swap: [-90, -21, -12, -28, 30, 43, 82, 93]
  Compare 30 and 43
  No swap needed

Pass 4:
  Compare -90 and -21
  No swap needed
  Compare -21 and -12
  No swap needed
  Compare -12 and -28
  Swap -12 and -28
  List after swap: [-90, -21, -28, -12, 30, 43, 82, 93]
  Compare -12 and 30
  No swap needed

Pass 5:
  Compare -90 and -21
  No swap needed
  Compare -21 and -28
  Swap -21 and -28
  List after swap: [-90, -28, -21, -12, 30, 43, 82, 93]
  Compare -21 and -12
  No swap needed

Pass 6:
  Compare -90 and -28
  No swap needed
  Compare -28 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -28, -21, -12, 30, 43, 82, 93]
</think>

<response>-90, -28, -21, -12, 30, 43, 82, 93</response>


input: Using the bubble sort method, sort -31, -30 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-31, -30]

Pass 1:
  Compare -31 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -30]
</think>

<response>-31, -30</response>


input: Carry out the bubble sort algorithm on 51, -63, -15, 80, 99 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [51, -63, -15, 80, 99]

Pass 1:
  Compare 51 and -63
  Swap 51 and -63
  List after swap: [-63, 51, -15, 80, 99]
  Compare 51 and -15
  Swap 51 and -15
  List after swap: [-63, -15, 51, 80, 99]
  Compare 51 and 80
  No swap needed
  Compare 80 and 99
  No swap needed

Pass 2:
  Compare -63 and -15
  No swap needed
  Compare -15 and 51
  No swap needed
  Compare 51 and 80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -15, 51, 80, 99]
</think>

<response>-63, -15, 51, 80, 99</response>


input: Implement bubble sort on -6, 44, -57, -30, 56, -19 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-6, 44, -57, -30, 56, -19]

Pass 1:
  Compare -6 and 44
  No swap needed
  Compare 44 and -57
  Swap 44 and -57
  List after swap: [-6, -57, 44, -30, 56, -19]
  Compare 44 and -30
  Swap 44 and -30
  List after swap: [-6, -57, -30, 44, 56, -19]
  Compare 44 and 56
  No swap needed
  Compare 56 and -19
  Swap 56 and -19
  List after swap: [-6, -57, -30, 44, -19, 56]

Pass 2:
  Compare -6 and -57
  Swap -6 and -57
  List after swap: [-57, -6, -30, 44, -19, 56]
  Compare -6 and -30
  Swap -6 and -30
  List after swap: [-57, -30, -6, 44, -19, 56]
  Compare -6 and 44
  No swap needed
  Compare 44 and -19
  Swap 44 and -19
  List after swap: [-57, -30, -6, -19, 44, 56]

Pass 3:
  Compare -57 and -30
  No swap needed
  Compare -30 and -6
  No swap needed
  Compare -6 and -19
  Swap -6 and -19
  List after swap: [-57, -30, -19, -6, 44, 56]

Pass 4:
  Compare -57 and -30
  No swap needed
  Compare -30 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -30, -19, -6, 44, 56]
</think>

<response>-57, -30, -19, -6, 44, 56</response>


input: Use the bubble sort technique to reorder -25, -28, 99, -17, -18, -100, 52, 17, -86 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-25, -28, 99, -17, -18, -100, 52, 17, -86]

Pass 1:
  Compare -25 and -28
  Swap -25 and -28
  List after swap: [-28, -25, 99, -17, -18, -100, 52, 17, -86]
  Compare -25 and 99
  No swap needed
  Compare 99 and -17
  Swap 99 and -17
  List after swap: [-28, -25, -17, 99, -18, -100, 52, 17, -86]
  Compare 99 and -18
  Swap 99 and -18
  List after swap: [-28, -25, -17, -18, 99, -100, 52, 17, -86]
  Compare 99 and -100
  Swap 99 and -100
  List after swap: [-28, -25, -17, -18, -100, 99, 52, 17, -86]
  Compare 99 and 52
  Swap 99 and 52
  List after swap: [-28, -25, -17, -18, -100, 52, 99, 17, -86]
  Compare 99 and 17
  Swap 99 and 17
  List after swap: [-28, -25, -17, -18, -100, 52, 17, 99, -86]
  Compare 99 and -86
  Swap 99 and -86
  List after swap: [-28, -25, -17, -18, -100, 52, 17, -86, 99]

Pass 2:
  Compare -28 and -25
  No swap needed
  Compare -25 and -17
  No swap needed
  Compare -17 and -18
  Swap -17 and -18
  List after swap: [-28, -25, -18, -17, -100, 52, 17, -86, 99]
  Compare -17 and -100
  Swap -17 and -100
  List after swap: [-28, -25, -18, -100, -17, 52, 17, -86, 99]
  Compare -17 and 52
  No swap needed
  Compare 52 and 17
  Swap 52 and 17
  List after swap: [-28, -25, -18, -100, -17, 17, 52, -86, 99]
  Compare 52 and -86
  Swap 52 and -86
  List after swap: [-28, -25, -18, -100, -17, 17, -86, 52, 99]

Pass 3:
  Compare -28 and -25
  No swap needed
  Compare -25 and -18
  No swap needed
  Compare -18 and -100
  Swap -18 and -100
  List after swap: [-28, -25, -100, -18, -17, 17, -86, 52, 99]
  Compare -18 and -17
  No swap needed
  Compare -17 and 17
  No swap needed
  Compare 17 and -86
  Swap 17 and -86
  List after swap: [-28, -25, -100, -18, -17, -86, 17, 52, 99]

Pass 4:
  Compare -28 and -25
  No swap needed
  Compare -25 and -100
  Swap -25 and -100
  List after swap: [-28, -100, -25, -18, -17, -86, 17, 52, 99]
  Compare -25 and -18
  No swap needed
  Compare -18 and -17
  No swap needed
  Compare -17 and -86
  Swap -17 and -86
  List after swap: [-28, -100, -25, -18, -86, -17, 17, 52, 99]

Pass 5:
  Compare -28 and -100
  Swap -28 and -100
  List after swap: [-100, -28, -25, -18, -86, -17, 17, 52, 99]
  Compare -28 and -25
  No swap needed
  Compare -25 and -18
  No swap needed
  Compare -18 and -86
  Swap -18 and -86
  List after swap: [-100, -28, -25, -86, -18, -17, 17, 52, 99]

Pass 6:
  Compare -100 and -28
  No swap needed
  Compare -28 and -25
  No swap needed
  Compare -25 and -86
  Swap -25 and -86
  List after swap: [-100, -28, -86, -25, -18, -17, 17, 52, 99]

Pass 7:
  Compare -100 and -28
  No swap needed
  Compare -28 and -86
  Swap -28 and -86
  List after swap: [-100, -86, -28, -25, -18, -17, 17, 52, 99]

Pass 8:
  Compare -100 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -86, -28, -25, -18, -17, 17, 52, 99]
</think>

<response>-100, -86, -28, -25, -18, -17, 17, 52, 99</response>


input: Demonstrate how bubble sort orders the integers 91, 38, 76, -58, 34, -14, 90, 45, 89 in ascending sequence, showing all steps.

output:
<think>
Initial list: [91, 38, 76, -58, 34, -14, 90, 45, 89]

Pass 1:
  Compare 91 and 38
  Swap 91 and 38
  List after swap: [38, 91, 76, -58, 34, -14, 90, 45, 89]
  Compare 91 and 76
  Swap 91 and 76
  List after swap: [38, 76, 91, -58, 34, -14, 90, 45, 89]
  Compare 91 and -58
  Swap 91 and -58
  List after swap: [38, 76, -58, 91, 34, -14, 90, 45, 89]
  Compare 91 and 34
  Swap 91 and 34
  List after swap: [38, 76, -58, 34, 91, -14, 90, 45, 89]
  Compare 91 and -14
  Swap 91 and -14
  List after swap: [38, 76, -58, 34, -14, 91, 90, 45, 89]
  Compare 91 and 90
  Swap 91 and 90
  List after swap: [38, 76, -58, 34, -14, 90, 91, 45, 89]
  Compare 91 and 45
  Swap 91 and 45
  List after swap: [38, 76, -58, 34, -14, 90, 45, 91, 89]
  Compare 91 and 89
  Swap 91 and 89
  List after swap: [38, 76, -58, 34, -14, 90, 45, 89, 91]

Pass 2:
  Compare 38 and 76
  No swap needed
  Compare 76 and -58
  Swap 76 and -58
  List after swap: [38, -58, 76, 34, -14, 90, 45, 89, 91]
  Compare 76 and 34
  Swap 76 and 34
  List after swap: [38, -58, 34, 76, -14, 90, 45, 89, 91]
  Compare 76 and -14
  Swap 76 and -14
  List after swap: [38, -58, 34, -14, 76, 90, 45, 89, 91]
  Compare 76 and 90
  No swap needed
  Compare 90 and 45
  Swap 90 and 45
  List after swap: [38, -58, 34, -14, 76, 45, 90, 89, 91]
  Compare 90 and 89
  Swap 90 and 89
  List after swap: [38, -58, 34, -14, 76, 45, 89, 90, 91]

Pass 3:
  Compare 38 and -58
  Swap 38 and -58
  List after swap: [-58, 38, 34, -14, 76, 45, 89, 90, 91]
  Compare 38 and 34
  Swap 38 and 34
  List after swap: [-58, 34, 38, -14, 76, 45, 89, 90, 91]
  Compare 38 and -14
  Swap 38 and -14
  List after swap: [-58, 34, -14, 38, 76, 45, 89, 90, 91]
  Compare 38 and 76
  No swap needed
  Compare 76 and 45
  Swap 76 and 45
  List after swap: [-58, 34, -14, 38, 45, 76, 89, 90, 91]
  Compare 76 and 89
  No swap needed

Pass 4:
  Compare -58 and 34
  No swap needed
  Compare 34 and -14
  Swap 34 and -14
  List after swap: [-58, -14, 34, 38, 45, 76, 89, 90, 91]
  Compare 34 and 38
  No swap needed
  Compare 38 and 45
  No swap needed
  Compare 45 and 76
  No swap needed

Pass 5:
  Compare -58 and -14
  No swap needed
  Compare -14 and 34
  No swap needed
  Compare 34 and 38
  No swap needed
  Compare 38 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -14, 34, 38, 45, 76, 89, 90, 91]
</think>

<response>-58, -14, 34, 38, 45, 76, 89, 90, 91</response>


input: Execute bubble sort to sort 45, -76, -60, 60, -71, -43, -61, -79, 43, 31 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [45, -76, -60, 60, -71, -43, -61, -79, 43, 31]

Pass 1:
  Compare 45 and -76
  Swap 45 and -76
  List after swap: [-76, 45, -60, 60, -71, -43, -61, -79, 43, 31]
  Compare 45 and -60
  Swap 45 and -60
  List after swap: [-76, -60, 45, 60, -71, -43, -61, -79, 43, 31]
  Compare 45 and 60
  No swap needed
  Compare 60 and -71
  Swap 60 and -71
  List after swap: [-76, -60, 45, -71, 60, -43, -61, -79, 43, 31]
  Compare 60 and -43
  Swap 60 and -43
  List after swap: [-76, -60, 45, -71, -43, 60, -61, -79, 43, 31]
  Compare 60 and -61
  Swap 60 and -61
  List after swap: [-76, -60, 45, -71, -43, -61, 60, -79, 43, 31]
  Compare 60 and -79
  Swap 60 and -79
  List after swap: [-76, -60, 45, -71, -43, -61, -79, 60, 43, 31]
  Compare 60 and 43
  Swap 60 and 43
  List after swap: [-76, -60, 45, -71, -43, -61, -79, 43, 60, 31]
  Compare 60 and 31
  Swap 60 and 31
  List after swap: [-76, -60, 45, -71, -43, -61, -79, 43, 31, 60]

Pass 2:
  Compare -76 and -60
  No swap needed
  Compare -60 and 45
  No swap needed
  Compare 45 and -71
  Swap 45 and -71
  List after swap: [-76, -60, -71, 45, -43, -61, -79, 43, 31, 60]
  Compare 45 and -43
  Swap 45 and -43
  List after swap: [-76, -60, -71, -43, 45, -61, -79, 43, 31, 60]
  Compare 45 and -61
  Swap 45 and -61
  List after swap: [-76, -60, -71, -43, -61, 45, -79, 43, 31, 60]
  Compare 45 and -79
  Swap 45 and -79
  List after swap: [-76, -60, -71, -43, -61, -79, 45, 43, 31, 60]
  Compare 45 and 43
  Swap 45 and 43
  List after swap: [-76, -60, -71, -43, -61, -79, 43, 45, 31, 60]
  Compare 45 and 31
  Swap 45 and 31
  List after swap: [-76, -60, -71, -43, -61, -79, 43, 31, 45, 60]

Pass 3:
  Compare -76 and -60
  No swap needed
  Compare -60 and -71
  Swap -60 and -71
  List after swap: [-76, -71, -60, -43, -61, -79, 43, 31, 45, 60]
  Compare -60 and -43
  No swap needed
  Compare -43 and -61
  Swap -43 and -61
  List after swap: [-76, -71, -60, -61, -43, -79, 43, 31, 45, 60]
  Compare -43 and -79
  Swap -43 and -79
  List after swap: [-76, -71, -60, -61, -79, -43, 43, 31, 45, 60]
  Compare -43 and 43
  No swap needed
  Compare 43 and 31
  Swap 43 and 31
  List after swap: [-76, -71, -60, -61, -79, -43, 31, 43, 45, 60]

Pass 4:
  Compare -76 and -71
  No swap needed
  Compare -71 and -60
  No swap needed
  Compare -60 and -61
  Swap -60 and -61
  List after swap: [-76, -71, -61, -60, -79, -43, 31, 43, 45, 60]
  Compare -60 and -79
  Swap -60 and -79
  List after swap: [-76, -71, -61, -79, -60, -43, 31, 43, 45, 60]
  Compare -60 and -43
  No swap needed
  Compare -43 and 31
  No swap needed

Pass 5:
  Compare -76 and -71
  No swap needed
  Compare -71 and -61
  No swap needed
  Compare -61 and -79
  Swap -61 and -79
  List after swap: [-76, -71, -79, -61, -60, -43, 31, 43, 45, 60]
  Compare -61 and -60
  No swap needed
  Compare -60 and -43
  No swap needed

Pass 6:
  Compare -76 and -71
  No swap needed
  Compare -71 and -79
  Swap -71 and -79
  List after swap: [-76, -79, -71, -61, -60, -43, 31, 43, 45, 60]
  Compare -71 and -61
  No swap needed
  Compare -61 and -60
  No swap needed

Pass 7:
  Compare -76 and -79
  Swap -76 and -79
  List after swap: [-79, -76, -71, -61, -60, -43, 31, 43, 45, 60]
  Compare -76 and -71
  No swap needed
  Compare -71 and -61
  No swap needed

Pass 8:
  Compare -79 and -76
  No swap needed
  Compare -76 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -76, -71, -61, -60, -43, 31, 43, 45, 60]
</think>

<response>-79, -76, -71, -61, -60, -43, 31, 43, 45, 60</response>


input: Execute bubble sort to sort -63, 81, -31, 35 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-63, 81, -31, 35]

Pass 1:
  Compare -63 and 81
  No swap needed
  Compare 81 and -31
  Swap 81 and -31
  List after swap: [-63, -31, 81, 35]
  Compare 81 and 35
  Swap 81 and 35
  List after swap: [-63, -31, 35, 81]

Pass 2:
  Compare -63 and -31
  No swap needed
  Compare -31 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -31, 35, 81]
</think>

<response>-63, -31, 35, 81</response>


input: Sort the list 39, 77, 70 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [39, 77, 70]

Pass 1:
  Compare 39 and 77
  No swap needed
  Compare 77 and 70
  Swap 77 and 70
  List after swap: [39, 70, 77]

Pass 2:
  Compare 39 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [39, 70, 77]
</think>

<response>39, 70, 77</response>


input: Perform a bubble sort on the integers 59, -31, 84, -89, -51, -67, -77, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [59, -31, 84, -89, -51, -67, -77]

Pass 1:
  Compare 59 and -31
  Swap 59 and -31
  List after swap: [-31, 59, 84, -89, -51, -67, -77]
  Compare 59 and 84
  No swap needed
  Compare 84 and -89
  Swap 84 and -89
  List after swap: [-31, 59, -89, 84, -51, -67, -77]
  Compare 84 and -51
  Swap 84 and -51
  List after swap: [-31, 59, -89, -51, 84, -67, -77]
  Compare 84 and -67
  Swap 84 and -67
  List after swap: [-31, 59, -89, -51, -67, 84, -77]
  Compare 84 and -77
  Swap 84 and -77
  List after swap: [-31, 59, -89, -51, -67, -77, 84]

Pass 2:
  Compare -31 and 59
  No swap needed
  Compare 59 and -89
  Swap 59 and -89
  List after swap: [-31, -89, 59, -51, -67, -77, 84]
  Compare 59 and -51
  Swap 59 and -51
  List after swap: [-31, -89, -51, 59, -67, -77, 84]
  Compare 59 and -67
  Swap 59 and -67
  List after swap: [-31, -89, -51, -67, 59, -77, 84]
  Compare 59 and -77
  Swap 59 and -77
  List after swap: [-31, -89, -51, -67, -77, 59, 84]

Pass 3:
  Compare -31 and -89
  Swap -31 and -89
  List after swap: [-89, -31, -51, -67, -77, 59, 84]
  Compare -31 and -51
  Swap -31 and -51
  List after swap: [-89, -51, -31, -67, -77, 59, 84]
  Compare -31 and -67
  Swap -31 and -67
  List after swap: [-89, -51, -67, -31, -77, 59, 84]
  Compare -31 and -77
  Swap -31 and -77
  List after swap: [-89, -51, -67, -77, -31, 59, 84]

Pass 4:
  Compare -89 and -51
  No swap needed
  Compare -51 and -67
  Swap -51 and -67
  List after swap: [-89, -67, -51, -77, -31, 59, 84]
  Compare -51 and -77
  Swap -51 and -77
  List after swap: [-89, -67, -77, -51, -31, 59, 84]

Pass 5:
  Compare -89 and -67
  No swap needed
  Compare -67 and -77
  Swap -67 and -77
  List after swap: [-89, -77, -67, -51, -31, 59, 84]

Pass 6:
  Compare -89 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -77, -67, -51, -31, 59, 84]
</think>

<response>-89, -77, -67, -51, -31, 59, 84</response>


input: Carry out the bubble sort algorithm on 57, 91, -56, 4, 76, 27, -17, -51, 29 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [57, 91, -56, 4, 76, 27, -17, -51, 29]

Pass 1:
  Compare 57 and 91
  No swap needed
  Compare 91 and -56
  Swap 91 and -56
  List after swap: [57, -56, 91, 4, 76, 27, -17, -51, 29]
  Compare 91 and 4
  Swap 91 and 4
  List after swap: [57, -56, 4, 91, 76, 27, -17, -51, 29]
  Compare 91 and 76
  Swap 91 and 76
  List after swap: [57, -56, 4, 76, 91, 27, -17, -51, 29]
  Compare 91 and 27
  Swap 91 and 27
  List after swap: [57, -56, 4, 76, 27, 91, -17, -51, 29]
  Compare 91 and -17
  Swap 91 and -17
  List after swap: [57, -56, 4, 76, 27, -17, 91, -51, 29]
  Compare 91 and -51
  Swap 91 and -51
  List after swap: [57, -56, 4, 76, 27, -17, -51, 91, 29]
  Compare 91 and 29
  Swap 91 and 29
  List after swap: [57, -56, 4, 76, 27, -17, -51, 29, 91]

Pass 2:
  Compare 57 and -56
  Swap 57 and -56
  List after swap: [-56, 57, 4, 76, 27, -17, -51, 29, 91]
  Compare 57 and 4
  Swap 57 and 4
  List after swap: [-56, 4, 57, 76, 27, -17, -51, 29, 91]
  Compare 57 and 76
  No swap needed
  Compare 76 and 27
  Swap 76 and 27
  List after swap: [-56, 4, 57, 27, 76, -17, -51, 29, 91]
  Compare 76 and -17
  Swap 76 and -17
  List after swap: [-56, 4, 57, 27, -17, 76, -51, 29, 91]
  Compare 76 and -51
  Swap 76 and -51
  List after swap: [-56, 4, 57, 27, -17, -51, 76, 29, 91]
  Compare 76 and 29
  Swap 76 and 29
  List after swap: [-56, 4, 57, 27, -17, -51, 29, 76, 91]

Pass 3:
  Compare -56 and 4
  No swap needed
  Compare 4 and 57
  No swap needed
  Compare 57 and 27
  Swap 57 and 27
  List after swap: [-56, 4, 27, 57, -17, -51, 29, 76, 91]
  Compare 57 and -17
  Swap 57 and -17
  List after swap: [-56, 4, 27, -17, 57, -51, 29, 76, 91]
  Compare 57 and -51
  Swap 57 and -51
  List after swap: [-56, 4, 27, -17, -51, 57, 29, 76, 91]
  Compare 57 and 29
  Swap 57 and 29
  List after swap: [-56, 4, 27, -17, -51, 29, 57, 76, 91]

Pass 4:
  Compare -56 and 4
  No swap needed
  Compare 4 and 27
  No swap needed
  Compare 27 and -17
  Swap 27 and -17
  List after swap: [-56, 4, -17, 27, -51, 29, 57, 76, 91]
  Compare 27 and -51
  Swap 27 and -51
  List after swap: [-56, 4, -17, -51, 27, 29, 57, 76, 91]
  Compare 27 and 29
  No swap needed

Pass 5:
  Compare -56 and 4
  No swap needed
  Compare 4 and -17
  Swap 4 and -17
  List after swap: [-56, -17, 4, -51, 27, 29, 57, 76, 91]
  Compare 4 and -51
  Swap 4 and -51
  List after swap: [-56, -17, -51, 4, 27, 29, 57, 76, 91]
  Compare 4 and 27
  No swap needed

Pass 6:
  Compare -56 and -17
  No swap needed
  Compare -17 and -51
  Swap -17 and -51
  List after swap: [-56, -51, -17, 4, 27, 29, 57, 76, 91]
  Compare -17 and 4
  No swap needed

Pass 7:
  Compare -56 and -51
  No swap needed
  Compare -51 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -51, -17, 4, 27, 29, 57, 76, 91]
</think>

<response>-56, -51, -17, 4, 27, 29, 57, 76, 91</response>


input: Sort the list 94, 52, 26, 29, -80, 49, -81 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [94, 52, 26, 29, -80, 49, -81]

Pass 1:
  Compare 94 and 52
  Swap 94 and 52
  List after swap: [52, 94, 26, 29, -80, 49, -81]
  Compare 94 and 26
  Swap 94 and 26
  List after swap: [52, 26, 94, 29, -80, 49, -81]
  Compare 94 and 29
  Swap 94 and 29
  List after swap: [52, 26, 29, 94, -80, 49, -81]
  Compare 94 and -80
  Swap 94 and -80
  List after swap: [52, 26, 29, -80, 94, 49, -81]
  Compare 94 and 49
  Swap 94 and 49
  List after swap: [52, 26, 29, -80, 49, 94, -81]
  Compare 94 and -81
  Swap 94 and -81
  List after swap: [52, 26, 29, -80, 49, -81, 94]

Pass 2:
  Compare 52 and 26
  Swap 52 and 26
  List after swap: [26, 52, 29, -80, 49, -81, 94]
  Compare 52 and 29
  Swap 52 and 29
  List after swap: [26, 29, 52, -80, 49, -81, 94]
  Compare 52 and -80
  Swap 52 and -80
  List after swap: [26, 29, -80, 52, 49, -81, 94]
  Compare 52 and 49
  Swap 52 and 49
  List after swap: [26, 29, -80, 49, 52, -81, 94]
  Compare 52 and -81
  Swap 52 and -81
  List after swap: [26, 29, -80, 49, -81, 52, 94]

Pass 3:
  Compare 26 and 29
  No swap needed
  Compare 29 and -80
  Swap 29 and -80
  List after swap: [26, -80, 29, 49, -81, 52, 94]
  Compare 29 and 49
  No swap needed
  Compare 49 and -81
  Swap 49 and -81
  List after swap: [26, -80, 29, -81, 49, 52, 94]

Pass 4:
  Compare 26 and -80
  Swap 26 and -80
  List after swap: [-80, 26, 29, -81, 49, 52, 94]
  Compare 26 and 29
  No swap needed
  Compare 29 and -81
  Swap 29 and -81
  List after swap: [-80, 26, -81, 29, 49, 52, 94]

Pass 5:
  Compare -80 and 26
  No swap needed
  Compare 26 and -81
  Swap 26 and -81
  List after swap: [-80, -81, 26, 29, 49, 52, 94]

Pass 6:
  Compare -80 and -81
  Swap -80 and -81
  List after swap: [-81, -80, 26, 29, 49, 52, 94]

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

Final sorted list: [-81, -80, 26, 29, 49, 52, 94]
</think>

<response>-81, -80, 26, 29, 49, 52, 94</response>


input: Sort the list -14, 71, 69, 75, -17, -64, 94, -54, -38, -76 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-14, 71, 69, 75, -17, -64, 94, -54, -38, -76]

Pass 1:
  Compare -14 and 71
  No swap needed
  Compare 71 and 69
  Swap 71 and 69
  List after swap: [-14, 69, 71, 75, -17, -64, 94, -54, -38, -76]
  Compare 71 and 75
  No swap needed
  Compare 75 and -17
  Swap 75 and -17
  List after swap: [-14, 69, 71, -17, 75, -64, 94, -54, -38, -76]
  Compare 75 and -64
  Swap 75 and -64
  List after swap: [-14, 69, 71, -17, -64, 75, 94, -54, -38, -76]
  Compare 75 and 94
  No swap needed
  Compare 94 and -54
  Swap 94 and -54
  List after swap: [-14, 69, 71, -17, -64, 75, -54, 94, -38, -76]
  Compare 94 and -38
  Swap 94 and -38
  List after swap: [-14, 69, 71, -17, -64, 75, -54, -38, 94, -76]
  Compare 94 and -76
  Swap 94 and -76
  List after swap: [-14, 69, 71, -17, -64, 75, -54, -38, -76, 94]

Pass 2:
  Compare -14 and 69
  No swap needed
  Compare 69 and 71
  No swap needed
  Compare 71 and -17
  Swap 71 and -17
  List after swap: [-14, 69, -17, 71, -64, 75, -54, -38, -76, 94]
  Compare 71 and -64
  Swap 71 and -64
  List after swap: [-14, 69, -17, -64, 71, 75, -54, -38, -76, 94]
  Compare 71 and 75
  No swap needed
  Compare 75 and -54
  Swap 75 and -54
  List after swap: [-14, 69, -17, -64, 71, -54, 75, -38, -76, 94]
  Compare 75 and -38
  Swap 75 and -38
  List after swap: [-14, 69, -17, -64, 71, -54, -38, 75, -76, 94]
  Compare 75 and -76
  Swap 75 and -76
  List after swap: [-14, 69, -17, -64, 71, -54, -38, -76, 75, 94]

Pass 3:
  Compare -14 and 69
  No swap needed
  Compare 69 and -17
  Swap 69 and -17
  List after swap: [-14, -17, 69, -64, 71, -54, -38, -76, 75, 94]
  Compare 69 and -64
  Swap 69 and -64
  List after swap: [-14, -17, -64, 69, 71, -54, -38, -76, 75, 94]
  Compare 69 and 71
  No swap needed
  Compare 71 and -54
  Swap 71 and -54
  List after swap: [-14, -17, -64, 69, -54, 71, -38, -76, 75, 94]
  Compare 71 and -38
  Swap 71 and -38
  List after swap: [-14, -17, -64, 69, -54, -38, 71, -76, 75, 94]
  Compare 71 and -76
  Swap 71 and -76
  List after swap: [-14, -17, -64, 69, -54, -38, -76, 71, 75, 94]

Pass 4:
  Compare -14 and -17
  Swap -14 and -17
  List after swap: [-17, -14, -64, 69, -54, -38, -76, 71, 75, 94]
  Compare -14 and -64
  Swap -14 and -64
  List after swap: [-17, -64, -14, 69, -54, -38, -76, 71, 75, 94]
  Compare -14 and 69
  No swap needed
  Compare 69 and -54
  Swap 69 and -54
  List after swap: [-17, -64, -14, -54, 69, -38, -76, 71, 75, 94]
  Compare 69 and -38
  Swap 69 and -38
  List after swap: [-17, -64, -14, -54, -38, 69, -76, 71, 75, 94]
  Compare 69 and -76
  Swap 69 and -76
  List after swap: [-17, -64, -14, -54, -38, -76, 69, 71, 75, 94]

Pass 5:
  Compare -17 and -64
  Swap -17 and -64
  List after swap: [-64, -17, -14, -54, -38, -76, 69, 71, 75, 94]
  Compare -17 and -14
  No swap needed
  Compare -14 and -54
  Swap -14 and -54
  List after swap: [-64, -17, -54, -14, -38, -76, 69, 71, 75, 94]
  Compare -14 and -38
  Swap -14 and -38
  List after swap: [-64, -17, -54, -38, -14, -76, 69, 71, 75, 94]
  Compare -14 and -76
  Swap -14 and -76
  List after swap: [-64, -17, -54, -38, -76, -14, 69, 71, 75, 94]

Pass 6:
  Compare -64 and -17
  No swap needed
  Compare -17 and -54
  Swap -17 and -54
  List after swap: [-64, -54, -17, -38, -76, -14, 69, 71, 75, 94]
  Compare -17 and -38
  Swap -17 and -38
  List after swap: [-64, -54, -38, -17, -76, -14, 69, 71, 75, 94]
  Compare -17 and -76
  Swap -17 and -76
  List after swap: [-64, -54, -38, -76, -17, -14, 69, 71, 75, 94]

Pass 7:
  Compare -64 and -54
  No swap needed
  Compare -54 and -38
  No swap needed
  Compare -38 and -76
  Swap -38 and -76
  List after swap: [-64, -54, -76, -38, -17, -14, 69, 71, 75, 94]

Pass 8:
  Compare -64 and -54
  No swap needed
  Compare -54 and -76
  Swap -54 and -76
  List after swap: [-64, -76, -54, -38, -17, -14, 69, 71, 75, 94]

Pass 9:
  Compare -64 and -76
  Swap -64 and -76
  List after swap: [-76, -64, -54, -38, -17, -14, 69, 71, 75, 94]

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

Final sorted list: [-76, -64, -54, -38, -17, -14, 69, 71, 75, 94]
</think>

<response>-76, -64, -54, -38, -17, -14, 69, 71, 75, 94</response>


input: Use the bubble sort technique to reorder 86, 12, -76, -55 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [86, 12, -76, -55]

Pass 1:
  Compare 86 and 12
  Swap 86 and 12
  List after swap: [12, 86, -76, -55]
  Compare 86 and -76
  Swap 86 and -76
  List after swap: [12, -76, 86, -55]
  Compare 86 and -55
  Swap 86 and -55
  List after swap: [12, -76, -55, 86]

Pass 2:
  Compare 12 and -76
  Swap 12 and -76
  List after swap: [-76, 12, -55, 86]
  Compare 12 and -55
  Swap 12 and -55
  List after swap: [-76, -55, 12, 86]

Pass 3:
  Compare -76 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -55, 12, 86]
</think>

<response>-76, -55, 12, 86</response>


input: Arrange the numbers 54, -77 in ascending order by applying bubble sort, and display each intermediate step.

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

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

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

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

<response>-77, 54</response>


input: Execute bubble sort to sort -52, -53, 8, -39, -99, 29, 34 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-52, -53, 8, -39, -99, 29, 34]

Pass 1:
  Compare -52 and -53
  Swap -52 and -53
  List after swap: [-53, -52, 8, -39, -99, 29, 34]
  Compare -52 and 8
  No swap needed
  Compare 8 and -39
  Swap 8 and -39
  List after swap: [-53, -52, -39, 8, -99, 29, 34]
  Compare 8 and -99
  Swap 8 and -99
  List after swap: [-53, -52, -39, -99, 8, 29, 34]
  Compare 8 and 29
  No swap needed
  Compare 29 and 34
  No swap needed

Pass 2:
  Compare -53 and -52
  No swap needed
  Compare -52 and -39
  No swap needed
  Compare -39 and -99
  Swap -39 and -99
  List after swap: [-53, -52, -99, -39, 8, 29, 34]
  Compare -39 and 8
  No swap needed
  Compare 8 and 29
  No swap needed

Pass 3:
  Compare -53 and -52
  No swap needed
  Compare -52 and -99
  Swap -52 and -99
  List after swap: [-53, -99, -52, -39, 8, 29, 34]
  Compare -52 and -39
  No swap needed
  Compare -39 and 8
  No swap needed

Pass 4:
  Compare -53 and -99
  Swap -53 and -99
  List after swap: [-99, -53, -52, -39, 8, 29, 34]
  Compare -53 and -52
  No swap needed
  Compare -52 and -39
  No swap needed

Pass 5:
  Compare -99 and -53
  No swap needed
  Compare -53 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -53, -52, -39, 8, 29, 34]
</think>

<response>-99, -53, -52, -39, 8, 29, 34</response>


input: Using the bubble sort method, sort 17, 40, 16, 63, 87, -100, -58, -51 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [17, 40, 16, 63, 87, -100, -58, -51]

Pass 1:
  Compare 17 and 40
  No swap needed
  Compare 40 and 16
  Swap 40 and 16
  List after swap: [17, 16, 40, 63, 87, -100, -58, -51]
  Compare 40 and 63
  No swap needed
  Compare 63 and 87
  No swap needed
  Compare 87 and -100
  Swap 87 and -100
  List after swap: [17, 16, 40, 63, -100, 87, -58, -51]
  Compare 87 and -58
  Swap 87 and -58
  List after swap: [17, 16, 40, 63, -100, -58, 87, -51]
  Compare 87 and -51
  Swap 87 and -51
  List after swap: [17, 16, 40, 63, -100, -58, -51, 87]

Pass 2:
  Compare 17 and 16
  Swap 17 and 16
  List after swap: [16, 17, 40, 63, -100, -58, -51, 87]
  Compare 17 and 40
  No swap needed
  Compare 40 and 63
  No swap needed
  Compare 63 and -100
  Swap 63 and -100
  List after swap: [16, 17, 40, -100, 63, -58, -51, 87]
  Compare 63 and -58
  Swap 63 and -58
  List after swap: [16, 17, 40, -100, -58, 63, -51, 87]
  Compare 63 and -51
  Swap 63 and -51
  List after swap: [16, 17, 40, -100, -58, -51, 63, 87]

Pass 3:
  Compare 16 and 17
  No swap needed
  Compare 17 and 40
  No swap needed
  Compare 40 and -100
  Swap 40 and -100
  List after swap: [16, 17, -100, 40, -58, -51, 63, 87]
  Compare 40 and -58
  Swap 40 and -58
  List after swap: [16, 17, -100, -58, 40, -51, 63, 87]
  Compare 40 and -51
  Swap 40 and -51
  List after swap: [16, 17, -100, -58, -51, 40, 63, 87]

Pass 4:
  Compare 16 and 17
  No swap needed
  Compare 17 and -100
  Swap 17 and -100
  List after swap: [16, -100, 17, -58, -51, 40, 63, 87]
  Compare 17 and -58
  Swap 17 and -58
  List after swap: [16, -100, -58, 17, -51, 40, 63, 87]
  Compare 17 and -51
  Swap 17 and -51
  List after swap: [16, -100, -58, -51, 17, 40, 63, 87]

Pass 5:
  Compare 16 and -100
  Swap 16 and -100
  List after swap: [-100, 16, -58, -51, 17, 40, 63, 87]
  Compare 16 and -58
  Swap 16 and -58
  List after swap: [-100, -58, 16, -51, 17, 40, 63, 87]
  Compare 16 and -51
  Swap 16 and -51
  List after swap: [-100, -58, -51, 16, 17, 40, 63, 87]

Pass 6:
  Compare -100 and -58
  No swap needed
  Compare -58 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -58, -51, 16, 17, 40, 63, 87]
</think>

<response>-100, -58, -51, 16, 17, 40, 63, 87</response>


input: Demonstrate how bubble sort orders the integers 55, 13, -69, -43, -61, -68, -62, 94 in ascending sequence, showing all steps.

output:
<think>
Initial list: [55, 13, -69, -43, -61, -68, -62, 94]

Pass 1:
  Compare 55 and 13
  Swap 55 and 13
  List after swap: [13, 55, -69, -43, -61, -68, -62, 94]
  Compare 55 and -69
  Swap 55 and -69
  List after swap: [13, -69, 55, -43, -61, -68, -62, 94]
  Compare 55 and -43
  Swap 55 and -43
  List after swap: [13, -69, -43, 55, -61, -68, -62, 94]
  Compare 55 and -61
  Swap 55 and -61
  List after swap: [13, -69, -43, -61, 55, -68, -62, 94]
  Compare 55 and -68
  Swap 55 and -68
  List after swap: [13, -69, -43, -61, -68, 55, -62, 94]
  Compare 55 and -62
  Swap 55 and -62
  List after swap: [13, -69, -43, -61, -68, -62, 55, 94]
  Compare 55 and 94
  No swap needed

Pass 2:
  Compare 13 and -69
  Swap 13 and -69
  List after swap: [-69, 13, -43, -61, -68, -62, 55, 94]
  Compare 13 and -43
  Swap 13 and -43
  List after swap: [-69, -43, 13, -61, -68, -62, 55, 94]
  Compare 13 and -61
  Swap 13 and -61
  List after swap: [-69, -43, -61, 13, -68, -62, 55, 94]
  Compare 13 and -68
  Swap 13 and -68
  List after swap: [-69, -43, -61, -68, 13, -62, 55, 94]
  Compare 13 and -62
  Swap 13 and -62
  List after swap: [-69, -43, -61, -68, -62, 13, 55, 94]
  Compare 13 and 55
  No swap needed

Pass 3:
  Compare -69 and -43
  No swap needed
  Compare -43 and -61
  Swap -43 and -61
  List after swap: [-69, -61, -43, -68, -62, 13, 55, 94]
  Compare -43 and -68
  Swap -43 and -68
  List after swap: [-69, -61, -68, -43, -62, 13, 55, 94]
  Compare -43 and -62
  Swap -43 and -62
  List after swap: [-69, -61, -68, -62, -43, 13, 55, 94]
  Compare -43 and 13
  No swap needed

Pass 4:
  Compare -69 and -61
  No swap needed
  Compare -61 and -68
  Swap -61 and -68
  List after swap: [-69, -68, -61, -62, -43, 13, 55, 94]
  Compare -61 and -62
  Swap -61 and -62
  List after swap: [-69, -68, -62, -61, -43, 13, 55, 94]
  Compare -61 and -43
  No swap needed

Pass 5:
  Compare -69 and -68
  No swap needed
  Compare -68 and -62
  No swap needed
  Compare -62 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -68, -62, -61, -43, 13, 55, 94]
</think>

<response>-69, -68, -62, -61, -43, 13, 55, 94</response>


input: Arrange the numbers -8, -55, 31, -16, -73, -65, 5, -39 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-8, -55, 31, -16, -73, -65, 5, -39]

Pass 1:
  Compare -8 and -55
  Swap -8 and -55
  List after swap: [-55, -8, 31, -16, -73, -65, 5, -39]
  Compare -8 and 31
  No swap needed
  Compare 31 and -16
  Swap 31 and -16
  List after swap: [-55, -8, -16, 31, -73, -65, 5, -39]
  Compare 31 and -73
  Swap 31 and -73
  List after swap: [-55, -8, -16, -73, 31, -65, 5, -39]
  Compare 31 and -65
  Swap 31 and -65
  List after swap: [-55, -8, -16, -73, -65, 31, 5, -39]
  Compare 31 and 5
  Swap 31 and 5
  List after swap: [-55, -8, -16, -73, -65, 5, 31, -39]
  Compare 31 and -39
  Swap 31 and -39
  List after swap: [-55, -8, -16, -73, -65, 5, -39, 31]

Pass 2:
  Compare -55 and -8
  No swap needed
  Compare -8 and -16
  Swap -8 and -16
  List after swap: [-55, -16, -8, -73, -65, 5, -39, 31]
  Compare -8 and -73
  Swap -8 and -73
  List after swap: [-55, -16, -73, -8, -65, 5, -39, 31]
  Compare -8 and -65
  Swap -8 and -65
  List after swap: [-55, -16, -73, -65, -8, 5, -39, 31]
  Compare -8 and 5
  No swap needed
  Compare 5 and -39
  Swap 5 and -39
  List after swap: [-55, -16, -73, -65, -8, -39, 5, 31]

Pass 3:
  Compare -55 and -16
  No swap needed
  Compare -16 and -73
  Swap -16 and -73
  List after swap: [-55, -73, -16, -65, -8, -39, 5, 31]
  Compare -16 and -65
  Swap -16 and -65
  List after swap: [-55, -73, -65, -16, -8, -39, 5, 31]
  Compare -16 and -8
  No swap needed
  Compare -8 and -39
  Swap -8 and -39
  List after swap: [-55, -73, -65, -16, -39, -8, 5, 31]

Pass 4:
  Compare -55 and -73
  Swap -55 and -73
  List after swap: [-73, -55, -65, -16, -39, -8, 5, 31]
  Compare -55 and -65
  Swap -55 and -65
  List after swap: [-73, -65, -55, -16, -39, -8, 5, 31]
  Compare -55 and -16
  No swap needed
  Compare -16 and -39
  Swap -16 and -39
  List after swap: [-73, -65, -55, -39, -16, -8, 5, 31]

Pass 5:
  Compare -73 and -65
  No swap needed
  Compare -65 and -55
  No swap needed
  Compare -55 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -65, -55, -39, -16, -8, 5, 31]
</think>

<response>-73, -65, -55, -39, -16, -8, 5, 31</response>


input: Sort these integers -59, -88, 31, 96, -71, 19, -99 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-59, -88, 31, 96, -71, 19, -99]

Pass 1:
  Compare -59 and -88
  Swap -59 and -88
  List after swap: [-88, -59, 31, 96, -71, 19, -99]
  Compare -59 and 31
  No swap needed
  Compare 31 and 96
  No swap needed
  Compare 96 and -71
  Swap 96 and -71
  List after swap: [-88, -59, 31, -71, 96, 19, -99]
  Compare 96 and 19
  Swap 96 and 19
  List after swap: [-88, -59, 31, -71, 19, 96, -99]
  Compare 96 and -99
  Swap 96 and -99
  List after swap: [-88, -59, 31, -71, 19, -99, 96]

Pass 2:
  Compare -88 and -59
  No swap needed
  Compare -59 and 31
  No swap needed
  Compare 31 and -71
  Swap 31 and -71
  List after swap: [-88, -59, -71, 31, 19, -99, 96]
  Compare 31 and 19
  Swap 31 and 19
  List after swap: [-88, -59, -71, 19, 31, -99, 96]
  Compare 31 and -99
  Swap 31 and -99
  List after swap: [-88, -59, -71, 19, -99, 31, 96]

Pass 3:
  Compare -88 and -59
  No swap needed
  Compare -59 and -71
  Swap -59 and -71
  List after swap: [-88, -71, -59, 19, -99, 31, 96]
  Compare -59 and 19
  No swap needed
  Compare 19 and -99
  Swap 19 and -99
  List after swap: [-88, -71, -59, -99, 19, 31, 96]

Pass 4:
  Compare -88 and -71
  No swap needed
  Compare -71 and -59
  No swap needed
  Compare -59 and -99
  Swap -59 and -99
  List after swap: [-88, -71, -99, -59, 19, 31, 96]

Pass 5:
  Compare -88 and -71
  No swap needed
  Compare -71 and -99
  Swap -71 and -99
  List after swap: [-88, -99, -71, -59, 19, 31, 96]

Pass 6:
  Compare -88 and -99
  Swap -88 and -99
  List after swap: [-99, -88, -71, -59, 19, 31, 96]

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

Final sorted list: [-99, -88, -71, -59, 19, 31, 96]
</think>

<response>-99, -88, -71, -59, 19, 31, 96</response>


input: Implement bubble sort on -18, 96, -45, -28, 86, -80, -90, -38, -24 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-18, 96, -45, -28, 86, -80, -90, -38, -24]

Pass 1:
  Compare -18 and 96
  No swap needed
  Compare 96 and -45
  Swap 96 and -45
  List after swap: [-18, -45, 96, -28, 86, -80, -90, -38, -24]
  Compare 96 and -28
  Swap 96 and -28
  List after swap: [-18, -45, -28, 96, 86, -80, -90, -38, -24]
  Compare 96 and 86
  Swap 96 and 86
  List after swap: [-18, -45, -28, 86, 96, -80, -90, -38, -24]
  Compare 96 and -80
  Swap 96 and -80
  List after swap: [-18, -45, -28, 86, -80, 96, -90, -38, -24]
  Compare 96 and -90
  Swap 96 and -90
  List after swap: [-18, -45, -28, 86, -80, -90, 96, -38, -24]
  Compare 96 and -38
  Swap 96 and -38
  List after swap: [-18, -45, -28, 86, -80, -90, -38, 96, -24]
  Compare 96 and -24
  Swap 96 and -24
  List after swap: [-18, -45, -28, 86, -80, -90, -38, -24, 96]

Pass 2:
  Compare -18 and -45
  Swap -18 and -45
  List after swap: [-45, -18, -28, 86, -80, -90, -38, -24, 96]
  Compare -18 and -28
  Swap -18 and -28
  List after swap: [-45, -28, -18, 86, -80, -90, -38, -24, 96]
  Compare -18 and 86
  No swap needed
  Compare 86 and -80
  Swap 86 and -80
  List after swap: [-45, -28, -18, -80, 86, -90, -38, -24, 96]
  Compare 86 and -90
  Swap 86 and -90
  List after swap: [-45, -28, -18, -80, -90, 86, -38, -24, 96]
  Compare 86 and -38
  Swap 86 and -38
  List after swap: [-45, -28, -18, -80, -90, -38, 86, -24, 96]
  Compare 86 and -24
  Swap 86 and -24
  List after swap: [-45, -28, -18, -80, -90, -38, -24, 86, 96]

Pass 3:
  Compare -45 and -28
  No swap needed
  Compare -28 and -18
  No swap needed
  Compare -18 and -80
  Swap -18 and -80
  List after swap: [-45, -28, -80, -18, -90, -38, -24, 86, 96]
  Compare -18 and -90
  Swap -18 and -90
  List after swap: [-45, -28, -80, -90, -18, -38, -24, 86, 96]
  Compare -18 and -38
  Swap -18 and -38
  List after swap: [-45, -28, -80, -90, -38, -18, -24, 86, 96]
  Compare -18 and -24
  Swap -18 and -24
  List after swap: [-45, -28, -80, -90, -38, -24, -18, 86, 96]

Pass 4:
  Compare -45 and -28
  No swap needed
  Compare -28 and -80
  Swap -28 and -80
  List after swap: [-45, -80, -28, -90, -38, -24, -18, 86, 96]
  Compare -28 and -90
  Swap -28 and -90
  List after swap: [-45, -80, -90, -28, -38, -24, -18, 86, 96]
  Compare -28 and -38
  Swap -28 and -38
  List after swap: [-45, -80, -90, -38, -28, -24, -18, 86, 96]
  Compare -28 and -24
  No swap needed

Pass 5:
  Compare -45 and -80
  Swap -45 and -80
  List after swap: [-80, -45, -90, -38, -28, -24, -18, 86, 96]
  Compare -45 and -90
  Swap -45 and -90
  List after swap: [-80, -90, -45, -38, -28, -24, -18, 86, 96]
  Compare -45 and -38
  No swap needed
  Compare -38 and -28
  No swap needed

Pass 6:
  Compare -80 and -90
  Swap -80 and -90
  List after swap: [-90, -80, -45, -38, -28, -24, -18, 86, 96]
  Compare -80 and -45
  No swap needed
  Compare -45 and -38
  No swap needed

Pass 7:
  Compare -90 and -80
  No swap needed
  Compare -80 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -80, -45, -38, -28, -24, -18, 86, 96]
</think>

<response>-90, -80, -45, -38, -28, -24, -18, 86, 96</response>


input: Demonstrate how bubble sort orders the integers -84, -53, -37, 13, -76, -88, 55 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-84, -53, -37, 13, -76, -88, 55]

Pass 1:
  Compare -84 and -53
  No swap needed
  Compare -53 and -37
  No swap needed
  Compare -37 and 13
  No swap needed
  Compare 13 and -76
  Swap 13 and -76
  List after swap: [-84, -53, -37, -76, 13, -88, 55]
  Compare 13 and -88
  Swap 13 and -88
  List after swap: [-84, -53, -37, -76, -88, 13, 55]
  Compare 13 and 55
  No swap needed

Pass 2:
  Compare -84 and -53
  No swap needed
  Compare -53 and -37
  No swap needed
  Compare -37 and -76
  Swap -37 and -76
  List after swap: [-84, -53, -76, -37, -88, 13, 55]
  Compare -37 and -88
  Swap -37 and -88
  List after swap: [-84, -53, -76, -88, -37, 13, 55]
  Compare -37 and 13
  No swap needed

Pass 3:
  Compare -84 and -53
  No swap needed
  Compare -53 and -76
  Swap -53 and -76
  List after swap: [-84, -76, -53, -88, -37, 13, 55]
  Compare -53 and -88
  Swap -53 and -88
  List after swap: [-84, -76, -88, -53, -37, 13, 55]
  Compare -53 and -37
  No swap needed

Pass 4:
  Compare -84 and -76
  No swap needed
  Compare -76 and -88
  Swap -76 and -88
  List after swap: [-84, -88, -76, -53, -37, 13, 55]
  Compare -76 and -53
  No swap needed

Pass 5:
  Compare -84 and -88
  Swap -84 and -88
  List after swap: [-88, -84, -76, -53, -37, 13, 55]
  Compare -84 and -76
  No swap needed

Pass 6:
  Compare -88 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -84, -76, -53, -37, 13, 55]
</think>

<response>-88, -84, -76, -53, -37, 13, 55</response>


input: Demonstrate how bubble sort orders the integers 61, 54, -46, 42, 90, -44, -10, -62, 7 in ascending sequence, showing all steps.

output:
<think>
Initial list: [61, 54, -46, 42, 90, -44, -10, -62, 7]

Pass 1:
  Compare 61 and 54
  Swap 61 and 54
  List after swap: [54, 61, -46, 42, 90, -44, -10, -62, 7]
  Compare 61 and -46
  Swap 61 and -46
  List after swap: [54, -46, 61, 42, 90, -44, -10, -62, 7]
  Compare 61 and 42
  Swap 61 and 42
  List after swap: [54, -46, 42, 61, 90, -44, -10, -62, 7]
  Compare 61 and 90
  No swap needed
  Compare 90 and -44
  Swap 90 and -44
  List after swap: [54, -46, 42, 61, -44, 90, -10, -62, 7]
  Compare 90 and -10
  Swap 90 and -10
  List after swap: [54, -46, 42, 61, -44, -10, 90, -62, 7]
  Compare 90 and -62
  Swap 90 and -62
  List after swap: [54, -46, 42, 61, -44, -10, -62, 90, 7]
  Compare 90 and 7
  Swap 90 and 7
  List after swap: [54, -46, 42, 61, -44, -10, -62, 7, 90]

Pass 2:
  Compare 54 and -46
  Swap 54 and -46
  List after swap: [-46, 54, 42, 61, -44, -10, -62, 7, 90]
  Compare 54 and 42
  Swap 54 and 42
  List after swap: [-46, 42, 54, 61, -44, -10, -62, 7, 90]
  Compare 54 and 61
  No swap needed
  Compare 61 and -44
  Swap 61 and -44
  List after swap: [-46, 42, 54, -44, 61, -10, -62, 7, 90]
  Compare 61 and -10
  Swap 61 and -10
  List after swap: [-46, 42, 54, -44, -10, 61, -62, 7, 90]
  Compare 61 and -62
  Swap 61 and -62
  List after swap: [-46, 42, 54, -44, -10, -62, 61, 7, 90]
  Compare 61 and 7
  Swap 61 and 7
  List after swap: [-46, 42, 54, -44, -10, -62, 7, 61, 90]

Pass 3:
  Compare -46 and 42
  No swap needed
  Compare 42 and 54
  No swap needed
  Compare 54 and -44
  Swap 54 and -44
  List after swap: [-46, 42, -44, 54, -10, -62, 7, 61, 90]
  Compare 54 and -10
  Swap 54 and -10
  List after swap: [-46, 42, -44, -10, 54, -62, 7, 61, 90]
  Compare 54 and -62
  Swap 54 and -62
  List after swap: [-46, 42, -44, -10, -62, 54, 7, 61, 90]
  Compare 54 and 7
  Swap 54 and 7
  List after swap: [-46, 42, -44, -10, -62, 7, 54, 61, 90]

Pass 4:
  Compare -46 and 42
  No swap needed
  Compare 42 and -44
  Swap 42 and -44
  List after swap: [-46, -44, 42, -10, -62, 7, 54, 61, 90]
  Compare 42 and -10
  Swap 42 and -10
  List after swap: [-46, -44, -10, 42, -62, 7, 54, 61, 90]
  Compare 42 and -62
  Swap 42 and -62
  List after swap: [-46, -44, -10, -62, 42, 7, 54, 61, 90]
  Compare 42 and 7
  Swap 42 and 7
  List after swap: [-46, -44, -10, -62, 7, 42, 54, 61, 90]

Pass 5:
  Compare -46 and -44
  No swap needed
  Compare -44 and -10
  No swap needed
  Compare -10 and -62
  Swap -10 and -62
  List after swap: [-46, -44, -62, -10, 7, 42, 54, 61, 90]
  Compare -10 and 7
  No swap needed

Pass 6:
  Compare -46 and -44
  No swap needed
  Compare -44 and -62
  Swap -44 and -62
  List after swap: [-46, -62, -44, -10, 7, 42, 54, 61, 90]
  Compare -44 and -10
  No swap needed

Pass 7:
  Compare -46 and -62
  Swap -46 and -62
  List after swap: [-62, -46, -44, -10, 7, 42, 54, 61, 90]
  Compare -46 and -44
  No swap needed

Pass 8:
  Compare -62 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -46, -44, -10, 7, 42, 54, 61, 90]
</think>

<response>-62, -46, -44, -10, 7, 42, 54, 61, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 29, -1, 82, 63, -67, 60, -74, 83, 53.

output:
<think>
Initial list: [29, -1, 82, 63, -67, 60, -74, 83, 53]

Pass 1:
  Compare 29 and -1
  Swap 29 and -1
  List after swap: [-1, 29, 82, 63, -67, 60, -74, 83, 53]
  Compare 29 and 82
  No swap needed
  Compare 82 and 63
  Swap 82 and 63
  List after swap: [-1, 29, 63, 82, -67, 60, -74, 83, 53]
  Compare 82 and -67
  Swap 82 and -67
  List after swap: [-1, 29, 63, -67, 82, 60, -74, 83, 53]
  Compare 82 and 60
  Swap 82 and 60
  List after swap: [-1, 29, 63, -67, 60, 82, -74, 83, 53]
  Compare 82 and -74
  Swap 82 and -74
  List after swap: [-1, 29, 63, -67, 60, -74, 82, 83, 53]
  Compare 82 and 83
  No swap needed
  Compare 83 and 53
  Swap 83 and 53
  List after swap: [-1, 29, 63, -67, 60, -74, 82, 53, 83]

Pass 2:
  Compare -1 and 29
  No swap needed
  Compare 29 and 63
  No swap needed
  Compare 63 and -67
  Swap 63 and -67
  List after swap: [-1, 29, -67, 63, 60, -74, 82, 53, 83]
  Compare 63 and 60
  Swap 63 and 60
  List after swap: [-1, 29, -67, 60, 63, -74, 82, 53, 83]
  Compare 63 and -74
  Swap 63 and -74
  List after swap: [-1, 29, -67, 60, -74, 63, 82, 53, 83]
  Compare 63 and 82
  No swap needed
  Compare 82 and 53
  Swap 82 and 53
  List after swap: [-1, 29, -67, 60, -74, 63, 53, 82, 83]

Pass 3:
  Compare -1 and 29
  No swap needed
  Compare 29 and -67
  Swap 29 and -67
  List after swap: [-1, -67, 29, 60, -74, 63, 53, 82, 83]
  Compare 29 and 60
  No swap needed
  Compare 60 and -74
  Swap 60 and -74
  List after swap: [-1, -67, 29, -74, 60, 63, 53, 82, 83]
  Compare 60 and 63
  No swap needed
  Compare 63 and 53
  Swap 63 and 53
  List after swap: [-1, -67, 29, -74, 60, 53, 63, 82, 83]

Pass 4:
  Compare -1 and -67
  Swap -1 and -67
  List after swap: [-67, -1, 29, -74, 60, 53, 63, 82, 83]
  Compare -1 and 29
  No swap needed
  Compare 29 and -74
  Swap 29 and -74
  List after swap: [-67, -1, -74, 29, 60, 53, 63, 82, 83]
  Compare 29 and 60
  No swap needed
  Compare 60 and 53
  Swap 60 and 53
  List after swap: [-67, -1, -74, 29, 53, 60, 63, 82, 83]

Pass 5:
  Compare -67 and -1
  No swap needed
  Compare -1 and -74
  Swap -1 and -74
  List after swap: [-67, -74, -1, 29, 53, 60, 63, 82, 83]
  Compare -1 and 29
  No swap needed
  Compare 29 and 53
  No swap needed

Pass 6:
  Compare -67 and -74
  Swap -67 and -74
  List after swap: [-74, -67, -1, 29, 53, 60, 63, 82, 83]
  Compare -67 and -1
  No swap needed
  Compare -1 and 29
  No swap needed

Pass 7:
  Compare -74 and -67
  No swap needed
  Compare -67 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -67, -1, 29, 53, 60, 63, 82, 83]
</think>

<response>-74, -67, -1, 29, 53, 60, 63, 82, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 14, -83, 99, 88, -45, -71, -67, -10.

output:
<think>
Initial list: [14, -83, 99, 88, -45, -71, -67, -10]

Pass 1:
  Compare 14 and -83
  Swap 14 and -83
  List after swap: [-83, 14, 99, 88, -45, -71, -67, -10]
  Compare 14 and 99
  No swap needed
  Compare 99 and 88
  Swap 99 and 88
  List after swap: [-83, 14, 88, 99, -45, -71, -67, -10]
  Compare 99 and -45
  Swap 99 and -45
  List after swap: [-83, 14, 88, -45, 99, -71, -67, -10]
  Compare 99 and -71
  Swap 99 and -71
  List after swap: [-83, 14, 88, -45, -71, 99, -67, -10]
  Compare 99 and -67
  Swap 99 and -67
  List after swap: [-83, 14, 88, -45, -71, -67, 99, -10]
  Compare 99 and -10
  Swap 99 and -10
  List after swap: [-83, 14, 88, -45, -71, -67, -10, 99]

Pass 2:
  Compare -83 and 14
  No swap needed
  Compare 14 and 88
  No swap needed
  Compare 88 and -45
  Swap 88 and -45
  List after swap: [-83, 14, -45, 88, -71, -67, -10, 99]
  Compare 88 and -71
  Swap 88 and -71
  List after swap: [-83, 14, -45, -71, 88, -67, -10, 99]
  Compare 88 and -67
  Swap 88 and -67
  List after swap: [-83, 14, -45, -71, -67, 88, -10, 99]
  Compare 88 and -10
  Swap 88 and -10
  List after swap: [-83, 14, -45, -71, -67, -10, 88, 99]

Pass 3:
  Compare -83 and 14
  No swap needed
  Compare 14 and -45
  Swap 14 and -45
  List after swap: [-83, -45, 14, -71, -67, -10, 88, 99]
  Compare 14 and -71
  Swap 14 and -71
  List after swap: [-83, -45, -71, 14, -67, -10, 88, 99]
  Compare 14 and -67
  Swap 14 and -67
  List after swap: [-83, -45, -71, -67, 14, -10, 88, 99]
  Compare 14 and -10
  Swap 14 and -10
  List after swap: [-83, -45, -71, -67, -10, 14, 88, 99]

Pass 4:
  Compare -83 and -45
  No swap needed
  Compare -45 and -71
  Swap -45 and -71
  List after swap: [-83, -71, -45, -67, -10, 14, 88, 99]
  Compare -45 and -67
  Swap -45 and -67
  List after swap: [-83, -71, -67, -45, -10, 14, 88, 99]
  Compare -45 and -10
  No swap needed

Pass 5:
  Compare -83 and -71
  No swap needed
  Compare -71 and -67
  No swap needed
  Compare -67 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -71, -67, -45, -10, 14, 88, 99]
</think>

<response>-83, -71, -67, -45, -10, 14, 88, 99</response>


input: Perform a bubble sort on the integers -78, 81, -7, -15, -11, 59, 12, -12, -54, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-78, 81, -7, -15, -11, 59, 12, -12, -54]

Pass 1:
  Compare -78 and 81
  No swap needed
  Compare 81 and -7
  Swap 81 and -7
  List after swap: [-78, -7, 81, -15, -11, 59, 12, -12, -54]
  Compare 81 and -15
  Swap 81 and -15
  List after swap: [-78, -7, -15, 81, -11, 59, 12, -12, -54]
  Compare 81 and -11
  Swap 81 and -11
  List after swap: [-78, -7, -15, -11, 81, 59, 12, -12, -54]
  Compare 81 and 59
  Swap 81 and 59
  List after swap: [-78, -7, -15, -11, 59, 81, 12, -12, -54]
  Compare 81 and 12
  Swap 81 and 12
  List after swap: [-78, -7, -15, -11, 59, 12, 81, -12, -54]
  Compare 81 and -12
  Swap 81 and -12
  List after swap: [-78, -7, -15, -11, 59, 12, -12, 81, -54]
  Compare 81 and -54
  Swap 81 and -54
  List after swap: [-78, -7, -15, -11, 59, 12, -12, -54, 81]

Pass 2:
  Compare -78 and -7
  No swap needed
  Compare -7 and -15
  Swap -7 and -15
  List after swap: [-78, -15, -7, -11, 59, 12, -12, -54, 81]
  Compare -7 and -11
  Swap -7 and -11
  List after swap: [-78, -15, -11, -7, 59, 12, -12, -54, 81]
  Compare -7 and 59
  No swap needed
  Compare 59 and 12
  Swap 59 and 12
  List after swap: [-78, -15, -11, -7, 12, 59, -12, -54, 81]
  Compare 59 and -12
  Swap 59 and -12
  List after swap: [-78, -15, -11, -7, 12, -12, 59, -54, 81]
  Compare 59 and -54
  Swap 59 and -54
  List after swap: [-78, -15, -11, -7, 12, -12, -54, 59, 81]

Pass 3:
  Compare -78 and -15
  No swap needed
  Compare -15 and -11
  No swap needed
  Compare -11 and -7
  No swap needed
  Compare -7 and 12
  No swap needed
  Compare 12 and -12
  Swap 12 and -12
  List after swap: [-78, -15, -11, -7, -12, 12, -54, 59, 81]
  Compare 12 and -54
  Swap 12 and -54
  List after swap: [-78, -15, -11, -7, -12, -54, 12, 59, 81]

Pass 4:
  Compare -78 and -15
  No swap needed
  Compare -15 and -11
  No swap needed
  Compare -11 and -7
  No swap needed
  Compare -7 and -12
  Swap -7 and -12
  List after swap: [-78, -15, -11, -12, -7, -54, 12, 59, 81]
  Compare -7 and -54
  Swap -7 and -54
  List after swap: [-78, -15, -11, -12, -54, -7, 12, 59, 81]

Pass 5:
  Compare -78 and -15
  No swap needed
  Compare -15 and -11
  No swap needed
  Compare -11 and -12
  Swap -11 and -12
  List after swap: [-78, -15, -12, -11, -54, -7, 12, 59, 81]
  Compare -11 and -54
  Swap -11 and -54
  List after swap: [-78, -15, -12, -54, -11, -7, 12, 59, 81]

Pass 6:
  Compare -78 and -15
  No swap needed
  Compare -15 and -12
  No swap needed
  Compare -12 and -54
  Swap -12 and -54
  List after swap: [-78, -15, -54, -12, -11, -7, 12, 59, 81]

Pass 7:
  Compare -78 and -15
  No swap needed
  Compare -15 and -54
  Swap -15 and -54
  List after swap: [-78, -54, -15, -12, -11, -7, 12, 59, 81]

Pass 8:
  Compare -78 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -54, -15, -12, -11, -7, 12, 59, 81]
</think>

<response>-78, -54, -15, -12, -11, -7, 12, 59, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -8, 49, -28, -11, -19, 66, 15, 18, -91, -54.

output:
<think>
Initial list: [-8, 49, -28, -11, -19, 66, 15, 18, -91, -54]

Pass 1:
  Compare -8 and 49
  No swap needed
  Compare 49 and -28
  Swap 49 and -28
  List after swap: [-8, -28, 49, -11, -19, 66, 15, 18, -91, -54]
  Compare 49 and -11
  Swap 49 and -11
  List after swap: [-8, -28, -11, 49, -19, 66, 15, 18, -91, -54]
  Compare 49 and -19
  Swap 49 and -19
  List after swap: [-8, -28, -11, -19, 49, 66, 15, 18, -91, -54]
  Compare 49 and 66
  No swap needed
  Compare 66 and 15
  Swap 66 and 15
  List after swap: [-8, -28, -11, -19, 49, 15, 66, 18, -91, -54]
  Compare 66 and 18
  Swap 66 and 18
  List after swap: [-8, -28, -11, -19, 49, 15, 18, 66, -91, -54]
  Compare 66 and -91
  Swap 66 and -91
  List after swap: [-8, -28, -11, -19, 49, 15, 18, -91, 66, -54]
  Compare 66 and -54
  Swap 66 and -54
  List after swap: [-8, -28, -11, -19, 49, 15, 18, -91, -54, 66]

Pass 2:
  Compare -8 and -28
  Swap -8 and -28
  List after swap: [-28, -8, -11, -19, 49, 15, 18, -91, -54, 66]
  Compare -8 and -11
  Swap -8 and -11
  List after swap: [-28, -11, -8, -19, 49, 15, 18, -91, -54, 66]
  Compare -8 and -19
  Swap -8 and -19
  List after swap: [-28, -11, -19, -8, 49, 15, 18, -91, -54, 66]
  Compare -8 and 49
  No swap needed
  Compare 49 and 15
  Swap 49 and 15
  List after swap: [-28, -11, -19, -8, 15, 49, 18, -91, -54, 66]
  Compare 49 and 18
  Swap 49 and 18
  List after swap: [-28, -11, -19, -8, 15, 18, 49, -91, -54, 66]
  Compare 49 and -91
  Swap 49 and -91
  List after swap: [-28, -11, -19, -8, 15, 18, -91, 49, -54, 66]
  Compare 49 and -54
  Swap 49 and -54
  List after swap: [-28, -11, -19, -8, 15, 18, -91, -54, 49, 66]

Pass 3:
  Compare -28 and -11
  No swap needed
  Compare -11 and -19
  Swap -11 and -19
  List after swap: [-28, -19, -11, -8, 15, 18, -91, -54, 49, 66]
  Compare -11 and -8
  No swap needed
  Compare -8 and 15
  No swap needed
  Compare 15 and 18
  No swap needed
  Compare 18 and -91
  Swap 18 and -91
  List after swap: [-28, -19, -11, -8, 15, -91, 18, -54, 49, 66]
  Compare 18 and -54
  Swap 18 and -54
  List after swap: [-28, -19, -11, -8, 15, -91, -54, 18, 49, 66]

Pass 4:
  Compare -28 and -19
  No swap needed
  Compare -19 and -11
  No swap needed
  Compare -11 and -8
  No swap needed
  Compare -8 and 15
  No swap needed
  Compare 15 and -91
  Swap 15 and -91
  List after swap: [-28, -19, -11, -8, -91, 15, -54, 18, 49, 66]
  Compare 15 and -54
  Swap 15 and -54
  List after swap: [-28, -19, -11, -8, -91, -54, 15, 18, 49, 66]

Pass 5:
  Compare -28 and -19
  No swap needed
  Compare -19 and -11
  No swap needed
  Compare -11 and -8
  No swap needed
  Compare -8 and -91
  Swap -8 and -91
  List after swap: [-28, -19, -11, -91, -8, -54, 15, 18, 49, 66]
  Compare -8 and -54
  Swap -8 and -54
  List after swap: [-28, -19, -11, -91, -54, -8, 15, 18, 49, 66]

Pass 6:
  Compare -28 and -19
  No swap needed
  Compare -19 and -11
  No swap needed
  Compare -11 and -91
  Swap -11 and -91
  List after swap: [-28, -19, -91, -11, -54, -8, 15, 18, 49, 66]
  Compare -11 and -54
  Swap -11 and -54
  List after swap: [-28, -19, -91, -54, -11, -8, 15, 18, 49, 66]

Pass 7:
  Compare -28 and -19
  No swap needed
  Compare -19 and -91
  Swap -19 and -91
  List after swap: [-28, -91, -19, -54, -11, -8, 15, 18, 49, 66]
  Compare -19 and -54
  Swap -19 and -54
  List after swap: [-28, -91, -54, -19, -11, -8, 15, 18, 49, 66]

Pass 8:
  Compare -28 and -91
  Swap -28 and -91
  List after swap: [-91, -28, -54, -19, -11, -8, 15, 18, 49, 66]
  Compare -28 and -54
  Swap -28 and -54
  List after swap: [-91, -54, -28, -19, -11, -8, 15, 18, 49, 66]

Pass 9:
  Compare -91 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -54, -28, -19, -11, -8, 15, 18, 49, 66]
</think>

<response>-91, -54, -28, -19, -11, -8, 15, 18, 49, 66</response>


input: Sort these integers 92, -64, -4, -38, 39, 63, 24, 33, 19, -6 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [92, -64, -4, -38, 39, 63, 24, 33, 19, -6]

Pass 1:
  Compare 92 and -64
  Swap 92 and -64
  List after swap: [-64, 92, -4, -38, 39, 63, 24, 33, 19, -6]
  Compare 92 and -4
  Swap 92 and -4
  List after swap: [-64, -4, 92, -38, 39, 63, 24, 33, 19, -6]
  Compare 92 and -38
  Swap 92 and -38
  List after swap: [-64, -4, -38, 92, 39, 63, 24, 33, 19, -6]
  Compare 92 and 39
  Swap 92 and 39
  List after swap: [-64, -4, -38, 39, 92, 63, 24, 33, 19, -6]
  Compare 92 and 63
  Swap 92 and 63
  List after swap: [-64, -4, -38, 39, 63, 92, 24, 33, 19, -6]
  Compare 92 and 24
  Swap 92 and 24
  List after swap: [-64, -4, -38, 39, 63, 24, 92, 33, 19, -6]
  Compare 92 and 33
  Swap 92 and 33
  List after swap: [-64, -4, -38, 39, 63, 24, 33, 92, 19, -6]
  Compare 92 and 19
  Swap 92 and 19
  List after swap: [-64, -4, -38, 39, 63, 24, 33, 19, 92, -6]
  Compare 92 and -6
  Swap 92 and -6
  List after swap: [-64, -4, -38, 39, 63, 24, 33, 19, -6, 92]

Pass 2:
  Compare -64 and -4
  No swap needed
  Compare -4 and -38
  Swap -4 and -38
  List after swap: [-64, -38, -4, 39, 63, 24, 33, 19, -6, 92]
  Compare -4 and 39
  No swap needed
  Compare 39 and 63
  No swap needed
  Compare 63 and 24
  Swap 63 and 24
  List after swap: [-64, -38, -4, 39, 24, 63, 33, 19, -6, 92]
  Compare 63 and 33
  Swap 63 and 33
  List after swap: [-64, -38, -4, 39, 24, 33, 63, 19, -6, 92]
  Compare 63 and 19
  Swap 63 and 19
  List after swap: [-64, -38, -4, 39, 24, 33, 19, 63, -6, 92]
  Compare 63 and -6
  Swap 63 and -6
  List after swap: [-64, -38, -4, 39, 24, 33, 19, -6, 63, 92]

Pass 3:
  Compare -64 and -38
  No swap needed
  Compare -38 and -4
  No swap needed
  Compare -4 and 39
  No swap needed
  Compare 39 and 24
  Swap 39 and 24
  List after swap: [-64, -38, -4, 24, 39, 33, 19, -6, 63, 92]
  Compare 39 and 33
  Swap 39 and 33
  List after swap: [-64, -38, -4, 24, 33, 39, 19, -6, 63, 92]
  Compare 39 and 19
  Swap 39 and 19
  List after swap: [-64, -38, -4, 24, 33, 19, 39, -6, 63, 92]
  Compare 39 and -6
  Swap 39 and -6
  List after swap: [-64, -38, -4, 24, 33, 19, -6, 39, 63, 92]

Pass 4:
  Compare -64 and -38
  No swap needed
  Compare -38 and -4
  No swap needed
  Compare -4 and 24
  No swap needed
  Compare 24 and 33
  No swap needed
  Compare 33 and 19
  Swap 33 and 19
  List after swap: [-64, -38, -4, 24, 19, 33, -6, 39, 63, 92]
  Compare 33 and -6
  Swap 33 and -6
  List after swap: [-64, -38, -4, 24, 19, -6, 33, 39, 63, 92]

Pass 5:
  Compare -64 and -38
  No swap needed
  Compare -38 and -4
  No swap needed
  Compare -4 and 24
  No swap needed
  Compare 24 and 19
  Swap 24 and 19
  List after swap: [-64, -38, -4, 19, 24, -6, 33, 39, 63, 92]
  Compare 24 and -6
  Swap 24 and -6
  List after swap: [-64, -38, -4, 19, -6, 24, 33, 39, 63, 92]

Pass 6:
  Compare -64 and -38
  No swap needed
  Compare -38 and -4
  No swap needed
  Compare -4 and 19
  No swap needed
  Compare 19 and -6
  Swap 19 and -6
  List after swap: [-64, -38, -4, -6, 19, 24, 33, 39, 63, 92]

Pass 7:
  Compare -64 and -38
  No swap needed
  Compare -38 and -4
  No swap needed
  Compare -4 and -6
  Swap -4 and -6
  List after swap: [-64, -38, -6, -4, 19, 24, 33, 39, 63, 92]

Pass 8:
  Compare -64 and -38
  No swap needed
  Compare -38 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -38, -6, -4, 19, 24, 33, 39, 63, 92]
</think>

<response>-64, -38, -6, -4, 19, 24, 33, 39, 63, 92</response>


input: Using the bubble sort method, sort -22, 86, -83, -54, 72, -58, -36 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-22, 86, -83, -54, 72, -58, -36]

Pass 1:
  Compare -22 and 86
  No swap needed
  Compare 86 and -83
  Swap 86 and -83
  List after swap: [-22, -83, 86, -54, 72, -58, -36]
  Compare 86 and -54
  Swap 86 and -54
  List after swap: [-22, -83, -54, 86, 72, -58, -36]
  Compare 86 and 72
  Swap 86 and 72
  List after swap: [-22, -83, -54, 72, 86, -58, -36]
  Compare 86 and -58
  Swap 86 and -58
  List after swap: [-22, -83, -54, 72, -58, 86, -36]
  Compare 86 and -36
  Swap 86 and -36
  List after swap: [-22, -83, -54, 72, -58, -36, 86]

Pass 2:
  Compare -22 and -83
  Swap -22 and -83
  List after swap: [-83, -22, -54, 72, -58, -36, 86]
  Compare -22 and -54
  Swap -22 and -54
  List after swap: [-83, -54, -22, 72, -58, -36, 86]
  Compare -22 and 72
  No swap needed
  Compare 72 and -58
  Swap 72 and -58
  List after swap: [-83, -54, -22, -58, 72, -36, 86]
  Compare 72 and -36
  Swap 72 and -36
  List after swap: [-83, -54, -22, -58, -36, 72, 86]

Pass 3:
  Compare -83 and -54
  No swap needed
  Compare -54 and -22
  No swap needed
  Compare -22 and -58
  Swap -22 and -58
  List after swap: [-83, -54, -58, -22, -36, 72, 86]
  Compare -22 and -36
  Swap -22 and -36
  List after swap: [-83, -54, -58, -36, -22, 72, 86]

Pass 4:
  Compare -83 and -54
  No swap needed
  Compare -54 and -58
  Swap -54 and -58
  List after swap: [-83, -58, -54, -36, -22, 72, 86]
  Compare -54 and -36
  No swap needed

Pass 5:
  Compare -83 and -58
  No swap needed
  Compare -58 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -58, -54, -36, -22, 72, 86]
</think>

<response>-83, -58, -54, -36, -22, 72, 86</response>


input: Sort the list -82, -23, -88, -50, 69, 8, -47 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-82, -23, -88, -50, 69, 8, -47]

Pass 1:
  Compare -82 and -23
  No swap needed
  Compare -23 and -88
  Swap -23 and -88
  List after swap: [-82, -88, -23, -50, 69, 8, -47]
  Compare -23 and -50
  Swap -23 and -50
  List after swap: [-82, -88, -50, -23, 69, 8, -47]
  Compare -23 and 69
  No swap needed
  Compare 69 and 8
  Swap 69 and 8
  List after swap: [-82, -88, -50, -23, 8, 69, -47]
  Compare 69 and -47
  Swap 69 and -47
  List after swap: [-82, -88, -50, -23, 8, -47, 69]

Pass 2:
  Compare -82 and -88
  Swap -82 and -88
  List after swap: [-88, -82, -50, -23, 8, -47, 69]
  Compare -82 and -50
  No swap needed
  Compare -50 and -23
  No swap needed
  Compare -23 and 8
  No swap needed
  Compare 8 and -47
  Swap 8 and -47
  List after swap: [-88, -82, -50, -23, -47, 8, 69]

Pass 3:
  Compare -88 and -82
  No swap needed
  Compare -82 and -50
  No swap needed
  Compare -50 and -23
  No swap needed
  Compare -23 and -47
  Swap -23 and -47
  List after swap: [-88, -82, -50, -47, -23, 8, 69]

Pass 4:
  Compare -88 and -82
  No swap needed
  Compare -82 and -50
  No swap needed
  Compare -50 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -82, -50, -47, -23, 8, 69]
</think>

<response>-88, -82, -50, -47, -23, 8, 69</response>


input: Use the bubble sort technique to reorder 38, 52, -92, -81, 78, 85, -46 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [38, 52, -92, -81, 78, 85, -46]

Pass 1:
  Compare 38 and 52
  No swap needed
  Compare 52 and -92
  Swap 52 and -92
  List after swap: [38, -92, 52, -81, 78, 85, -46]
  Compare 52 and -81
  Swap 52 and -81
  List after swap: [38, -92, -81, 52, 78, 85, -46]
  Compare 52 and 78
  No swap needed
  Compare 78 and 85
  No swap needed
  Compare 85 and -46
  Swap 85 and -46
  List after swap: [38, -92, -81, 52, 78, -46, 85]

Pass 2:
  Compare 38 and -92
  Swap 38 and -92
  List after swap: [-92, 38, -81, 52, 78, -46, 85]
  Compare 38 and -81
  Swap 38 and -81
  List after swap: [-92, -81, 38, 52, 78, -46, 85]
  Compare 38 and 52
  No swap needed
  Compare 52 and 78
  No swap needed
  Compare 78 and -46
  Swap 78 and -46
  List after swap: [-92, -81, 38, 52, -46, 78, 85]

Pass 3:
  Compare -92 and -81
  No swap needed
  Compare -81 and 38
  No swap needed
  Compare 38 and 52
  No swap needed
  Compare 52 and -46
  Swap 52 and -46
  List after swap: [-92, -81, 38, -46, 52, 78, 85]

Pass 4:
  Compare -92 and -81
  No swap needed
  Compare -81 and 38
  No swap needed
  Compare 38 and -46
  Swap 38 and -46
  List after swap: [-92, -81, -46, 38, 52, 78, 85]

Pass 5:
  Compare -92 and -81
  No swap needed
  Compare -81 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -81, -46, 38, 52, 78, 85]
</think>

<response>-92, -81, -46, 38, 52, 78, 85</response>


input: Demonstrate how bubble sort orders the integers -91, -45, 90, 87 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-91, -45, 90, 87]

Pass 1:
  Compare -91 and -45
  No swap needed
  Compare -45 and 90
  No swap needed
  Compare 90 and 87
  Swap 90 and 87
  List after swap: [-91, -45, 87, 90]

Pass 2:
  Compare -91 and -45
  No swap needed
  Compare -45 and 87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -45, 87, 90]
</think>

<response>-91, -45, 87, 90</response>


input: Sort these integers -100, -53, -29, 10, -42, -16, -25 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-100, -53, -29, 10, -42, -16, -25]

Pass 1:
  Compare -100 and -53
  No swap needed
  Compare -53 and -29
  No swap needed
  Compare -29 and 10
  No swap needed
  Compare 10 and -42
  Swap 10 and -42
  List after swap: [-100, -53, -29, -42, 10, -16, -25]
  Compare 10 and -16
  Swap 10 and -16
  List after swap: [-100, -53, -29, -42, -16, 10, -25]
  Compare 10 and -25
  Swap 10 and -25
  List after swap: [-100, -53, -29, -42, -16, -25, 10]

Pass 2:
  Compare -100 and -53
  No swap needed
  Compare -53 and -29
  No swap needed
  Compare -29 and -42
  Swap -29 and -42
  List after swap: [-100, -53, -42, -29, -16, -25, 10]
  Compare -29 and -16
  No swap needed
  Compare -16 and -25
  Swap -16 and -25
  List after swap: [-100, -53, -42, -29, -25, -16, 10]

Pass 3:
  Compare -100 and -53
  No swap needed
  Compare -53 and -42
  No swap needed
  Compare -42 and -29
  No swap needed
  Compare -29 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -53, -42, -29, -25, -16, 10]
</think>

<response>-100, -53, -42, -29, -25, -16, 10</response>


input: Using the bubble sort method, sort -31, -53, -71, -12, 99, -62, -22 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-31, -53, -71, -12, 99, -62, -22]

Pass 1:
  Compare -31 and -53
  Swap -31 and -53
  List after swap: [-53, -31, -71, -12, 99, -62, -22]
  Compare -31 and -71
  Swap -31 and -71
  List after swap: [-53, -71, -31, -12, 99, -62, -22]
  Compare -31 and -12
  No swap needed
  Compare -12 and 99
  No swap needed
  Compare 99 and -62
  Swap 99 and -62
  List after swap: [-53, -71, -31, -12, -62, 99, -22]
  Compare 99 and -22
  Swap 99 and -22
  List after swap: [-53, -71, -31, -12, -62, -22, 99]

Pass 2:
  Compare -53 and -71
  Swap -53 and -71
  List after swap: [-71, -53, -31, -12, -62, -22, 99]
  Compare -53 and -31
  No swap needed
  Compare -31 and -12
  No swap needed
  Compare -12 and -62
  Swap -12 and -62
  List after swap: [-71, -53, -31, -62, -12, -22, 99]
  Compare -12 and -22
  Swap -12 and -22
  List after swap: [-71, -53, -31, -62, -22, -12, 99]

Pass 3:
  Compare -71 and -53
  No swap needed
  Compare -53 and -31
  No swap needed
  Compare -31 and -62
  Swap -31 and -62
  List after swap: [-71, -53, -62, -31, -22, -12, 99]
  Compare -31 and -22
  No swap needed

Pass 4:
  Compare -71 and -53
  No swap needed
  Compare -53 and -62
  Swap -53 and -62
  List after swap: [-71, -62, -53, -31, -22, -12, 99]
  Compare -53 and -31
  No swap needed

Pass 5:
  Compare -71 and -62
  No swap needed
  Compare -62 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -62, -53, -31, -22, -12, 99]
</think>

<response>-71, -62, -53, -31, -22, -12, 99</response>


input: Demonstrate how bubble sort orders the integers -48, -34, 34, 4, 49, -10, 82, -83, 69 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-48, -34, 34, 4, 49, -10, 82, -83, 69]

Pass 1:
  Compare -48 and -34
  No swap needed
  Compare -34 and 34
  No swap needed
  Compare 34 and 4
  Swap 34 and 4
  List after swap: [-48, -34, 4, 34, 49, -10, 82, -83, 69]
  Compare 34 and 49
  No swap needed
  Compare 49 and -10
  Swap 49 and -10
  List after swap: [-48, -34, 4, 34, -10, 49, 82, -83, 69]
  Compare 49 and 82
  No swap needed
  Compare 82 and -83
  Swap 82 and -83
  List after swap: [-48, -34, 4, 34, -10, 49, -83, 82, 69]
  Compare 82 and 69
  Swap 82 and 69
  List after swap: [-48, -34, 4, 34, -10, 49, -83, 69, 82]

Pass 2:
  Compare -48 and -34
  No swap needed
  Compare -34 and 4
  No swap needed
  Compare 4 and 34
  No swap needed
  Compare 34 and -10
  Swap 34 and -10
  List after swap: [-48, -34, 4, -10, 34, 49, -83, 69, 82]
  Compare 34 and 49
  No swap needed
  Compare 49 and -83
  Swap 49 and -83
  List after swap: [-48, -34, 4, -10, 34, -83, 49, 69, 82]
  Compare 49 and 69
  No swap needed

Pass 3:
  Compare -48 and -34
  No swap needed
  Compare -34 and 4
  No swap needed
  Compare 4 and -10
  Swap 4 and -10
  List after swap: [-48, -34, -10, 4, 34, -83, 49, 69, 82]
  Compare 4 and 34
  No swap needed
  Compare 34 and -83
  Swap 34 and -83
  List after swap: [-48, -34, -10, 4, -83, 34, 49, 69, 82]
  Compare 34 and 49
  No swap needed

Pass 4:
  Compare -48 and -34
  No swap needed
  Compare -34 and -10
  No swap needed
  Compare -10 and 4
  No swap needed
  Compare 4 and -83
  Swap 4 and -83
  List after swap: [-48, -34, -10, -83, 4, 34, 49, 69, 82]
  Compare 4 and 34
  No swap needed

Pass 5:
  Compare -48 and -34
  No swap needed
  Compare -34 and -10
  No swap needed
  Compare -10 and -83
  Swap -10 and -83
  List after swap: [-48, -34, -83, -10, 4, 34, 49, 69, 82]
  Compare -10 and 4
  No swap needed

Pass 6:
  Compare -48 and -34
  No swap needed
  Compare -34 and -83
  Swap -34 and -83
  List after swap: [-48, -83, -34, -10, 4, 34, 49, 69, 82]
  Compare -34 and -10
  No swap needed

Pass 7:
  Compare -48 and -83
  Swap -48 and -83
  List after swap: [-83, -48, -34, -10, 4, 34, 49, 69, 82]
  Compare -48 and -34
  No swap needed

Pass 8:
  Compare -83 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -48, -34, -10, 4, 34, 49, 69, 82]
</think>

<response>-83, -48, -34, -10, 4, 34, 49, 69, 82</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 58, -14, -21, 11, 41, -89.

output:
<think>
Initial list: [58, -14, -21, 11, 41, -89]

Pass 1:
  Compare 58 and -14
  Swap 58 and -14
  List after swap: [-14, 58, -21, 11, 41, -89]
  Compare 58 and -21
  Swap 58 and -21
  List after swap: [-14, -21, 58, 11, 41, -89]
  Compare 58 and 11
  Swap 58 and 11
  List after swap: [-14, -21, 11, 58, 41, -89]
  Compare 58 and 41
  Swap 58 and 41
  List after swap: [-14, -21, 11, 41, 58, -89]
  Compare 58 and -89
  Swap 58 and -89
  List after swap: [-14, -21, 11, 41, -89, 58]

Pass 2:
  Compare -14 and -21
  Swap -14 and -21
  List after swap: [-21, -14, 11, 41, -89, 58]
  Compare -14 and 11
  No swap needed
  Compare 11 and 41
  No swap needed
  Compare 41 and -89
  Swap 41 and -89
  List after swap: [-21, -14, 11, -89, 41, 58]

Pass 3:
  Compare -21 and -14
  No swap needed
  Compare -14 and 11
  No swap needed
  Compare 11 and -89
  Swap 11 and -89
  List after swap: [-21, -14, -89, 11, 41, 58]

Pass 4:
  Compare -21 and -14
  No swap needed
  Compare -14 and -89
  Swap -14 and -89
  List after swap: [-21, -89, -14, 11, 41, 58]

Pass 5:
  Compare -21 and -89
  Swap -21 and -89
  List after swap: [-89, -21, -14, 11, 41, 58]

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

Final sorted list: [-89, -21, -14, 11, 41, 58]
</think>

<response>-89, -21, -14, 11, 41, 58</response>


input: Using the bubble sort method, sort 51, -4 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [51, -4]

Pass 1:
  Compare 51 and -4
  Swap 51 and -4
  List after swap: [-4, 51]

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

Final sorted list: [-4, 51]
</think>

<response>-4, 51</response>


input: Sort the list 70, -86, -94, -19, -99, 44, -77 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [70, -86, -94, -19, -99, 44, -77]

Pass 1:
  Compare 70 and -86
  Swap 70 and -86
  List after swap: [-86, 70, -94, -19, -99, 44, -77]
  Compare 70 and -94
  Swap 70 and -94
  List after swap: [-86, -94, 70, -19, -99, 44, -77]
  Compare 70 and -19
  Swap 70 and -19
  List after swap: [-86, -94, -19, 70, -99, 44, -77]
  Compare 70 and -99
  Swap 70 and -99
  List after swap: [-86, -94, -19, -99, 70, 44, -77]
  Compare 70 and 44
  Swap 70 and 44
  List after swap: [-86, -94, -19, -99, 44, 70, -77]
  Compare 70 and -77
  Swap 70 and -77
  List after swap: [-86, -94, -19, -99, 44, -77, 70]

Pass 2:
  Compare -86 and -94
  Swap -86 and -94
  List after swap: [-94, -86, -19, -99, 44, -77, 70]
  Compare -86 and -19
  No swap needed
  Compare -19 and -99
  Swap -19 and -99
  List after swap: [-94, -86, -99, -19, 44, -77, 70]
  Compare -19 and 44
  No swap needed
  Compare 44 and -77
  Swap 44 and -77
  List after swap: [-94, -86, -99, -19, -77, 44, 70]

Pass 3:
  Compare -94 and -86
  No swap needed
  Compare -86 and -99
  Swap -86 and -99
  List after swap: [-94, -99, -86, -19, -77, 44, 70]
  Compare -86 and -19
  No swap needed
  Compare -19 and -77
  Swap -19 and -77
  List after swap: [-94, -99, -86, -77, -19, 44, 70]

Pass 4:
  Compare -94 and -99
  Swap -94 and -99
  List after swap: [-99, -94, -86, -77, -19, 44, 70]
  Compare -94 and -86
  No swap needed
  Compare -86 and -77
  No swap needed

Pass 5:
  Compare -99 and -94
  No swap needed
  Compare -94 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -94, -86, -77, -19, 44, 70]
</think>

<response>-99, -94, -86, -77, -19, 44, 70</response>


input: Implement bubble sort on 67, -21, -28, -70, -73 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [67, -21, -28, -70, -73]

Pass 1:
  Compare 67 and -21
  Swap 67 and -21
  List after swap: [-21, 67, -28, -70, -73]
  Compare 67 and -28
  Swap 67 and -28
  List after swap: [-21, -28, 67, -70, -73]
  Compare 67 and -70
  Swap 67 and -70
  List after swap: [-21, -28, -70, 67, -73]
  Compare 67 and -73
  Swap 67 and -73
  List after swap: [-21, -28, -70, -73, 67]

Pass 2:
  Compare -21 and -28
  Swap -21 and -28
  List after swap: [-28, -21, -70, -73, 67]
  Compare -21 and -70
  Swap -21 and -70
  List after swap: [-28, -70, -21, -73, 67]
  Compare -21 and -73
  Swap -21 and -73
  List after swap: [-28, -70, -73, -21, 67]

Pass 3:
  Compare -28 and -70
  Swap -28 and -70
  List after swap: [-70, -28, -73, -21, 67]
  Compare -28 and -73
  Swap -28 and -73
  List after swap: [-70, -73, -28, -21, 67]

Pass 4:
  Compare -70 and -73
  Swap -70 and -73
  List after swap: [-73, -70, -28, -21, 67]

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

Final sorted list: [-73, -70, -28, -21, 67]
</think>

<response>-73, -70, -28, -21, 67</response>


input: Demonstrate how bubble sort orders the integers -71, 44, 91, 20, -12 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-71, 44, 91, 20, -12]

Pass 1:
  Compare -71 and 44
  No swap needed
  Compare 44 and 91
  No swap needed
  Compare 91 and 20
  Swap 91 and 20
  List after swap: [-71, 44, 20, 91, -12]
  Compare 91 and -12
  Swap 91 and -12
  List after swap: [-71, 44, 20, -12, 91]

Pass 2:
  Compare -71 and 44
  No swap needed
  Compare 44 and 20
  Swap 44 and 20
  List after swap: [-71, 20, 44, -12, 91]
  Compare 44 and -12
  Swap 44 and -12
  List after swap: [-71, 20, -12, 44, 91]

Pass 3:
  Compare -71 and 20
  No swap needed
  Compare 20 and -12
  Swap 20 and -12
  List after swap: [-71, -12, 20, 44, 91]

Pass 4:
  Compare -71 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -12, 20, 44, 91]
</think>

<response>-71, -12, 20, 44, 91</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 64, 48, 8, -83.

output:
<think>
Initial list: [64, 48, 8, -83]

Pass 1:
  Compare 64 and 48
  Swap 64 and 48
  List after swap: [48, 64, 8, -83]
  Compare 64 and 8
  Swap 64 and 8
  List after swap: [48, 8, 64, -83]
  Compare 64 and -83
  Swap 64 and -83
  List after swap: [48, 8, -83, 64]

Pass 2:
  Compare 48 and 8
  Swap 48 and 8
  List after swap: [8, 48, -83, 64]
  Compare 48 and -83
  Swap 48 and -83
  List after swap: [8, -83, 48, 64]

Pass 3:
  Compare 8 and -83
  Swap 8 and -83
  List after swap: [-83, 8, 48, 64]

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

Final sorted list: [-83, 8, 48, 64]
</think>

<response>-83, 8, 48, 64</response>


input: Using the bubble sort method, sort 68, 72, -37, -17, 28, 75, 16, -62, 38, 51 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [68, 72, -37, -17, 28, 75, 16, -62, 38, 51]

Pass 1:
  Compare 68 and 72
  No swap needed
  Compare 72 and -37
  Swap 72 and -37
  List after swap: [68, -37, 72, -17, 28, 75, 16, -62, 38, 51]
  Compare 72 and -17
  Swap 72 and -17
  List after swap: [68, -37, -17, 72, 28, 75, 16, -62, 38, 51]
  Compare 72 and 28
  Swap 72 and 28
  List after swap: [68, -37, -17, 28, 72, 75, 16, -62, 38, 51]
  Compare 72 and 75
  No swap needed
  Compare 75 and 16
  Swap 75 and 16
  List after swap: [68, -37, -17, 28, 72, 16, 75, -62, 38, 51]
  Compare 75 and -62
  Swap 75 and -62
  List after swap: [68, -37, -17, 28, 72, 16, -62, 75, 38, 51]
  Compare 75 and 38
  Swap 75 and 38
  List after swap: [68, -37, -17, 28, 72, 16, -62, 38, 75, 51]
  Compare 75 and 51
  Swap 75 and 51
  List after swap: [68, -37, -17, 28, 72, 16, -62, 38, 51, 75]

Pass 2:
  Compare 68 and -37
  Swap 68 and -37
  List after swap: [-37, 68, -17, 28, 72, 16, -62, 38, 51, 75]
  Compare 68 and -17
  Swap 68 and -17
  List after swap: [-37, -17, 68, 28, 72, 16, -62, 38, 51, 75]
  Compare 68 and 28
  Swap 68 and 28
  List after swap: [-37, -17, 28, 68, 72, 16, -62, 38, 51, 75]
  Compare 68 and 72
  No swap needed
  Compare 72 and 16
  Swap 72 and 16
  List after swap: [-37, -17, 28, 68, 16, 72, -62, 38, 51, 75]
  Compare 72 and -62
  Swap 72 and -62
  List after swap: [-37, -17, 28, 68, 16, -62, 72, 38, 51, 75]
  Compare 72 and 38
  Swap 72 and 38
  List after swap: [-37, -17, 28, 68, 16, -62, 38, 72, 51, 75]
  Compare 72 and 51
  Swap 72 and 51
  List after swap: [-37, -17, 28, 68, 16, -62, 38, 51, 72, 75]

Pass 3:
  Compare -37 and -17
  No swap needed
  Compare -17 and 28
  No swap needed
  Compare 28 and 68
  No swap needed
  Compare 68 and 16
  Swap 68 and 16
  List after swap: [-37, -17, 28, 16, 68, -62, 38, 51, 72, 75]
  Compare 68 and -62
  Swap 68 and -62
  List after swap: [-37, -17, 28, 16, -62, 68, 38, 51, 72, 75]
  Compare 68 and 38
  Swap 68 and 38
  List after swap: [-37, -17, 28, 16, -62, 38, 68, 51, 72, 75]
  Compare 68 and 51
  Swap 68 and 51
  List after swap: [-37, -17, 28, 16, -62, 38, 51, 68, 72, 75]

Pass 4:
  Compare -37 and -17
  No swap needed
  Compare -17 and 28
  No swap needed
  Compare 28 and 16
  Swap 28 and 16
  List after swap: [-37, -17, 16, 28, -62, 38, 51, 68, 72, 75]
  Compare 28 and -62
  Swap 28 and -62
  List after swap: [-37, -17, 16, -62, 28, 38, 51, 68, 72, 75]
  Compare 28 and 38
  No swap needed
  Compare 38 and 51
  No swap needed

Pass 5:
  Compare -37 and -17
  No swap needed
  Compare -17 and 16
  No swap needed
  Compare 16 and -62
  Swap 16 and -62
  List after swap: [-37, -17, -62, 16, 28, 38, 51, 68, 72, 75]
  Compare 16 and 28
  No swap needed
  Compare 28 and 38
  No swap needed

Pass 6:
  Compare -37 and -17
  No swap needed
  Compare -17 and -62
  Swap -17 and -62
  List after swap: [-37, -62, -17, 16, 28, 38, 51, 68, 72, 75]
  Compare -17 and 16
  No swap needed
  Compare 16 and 28
  No swap needed

Pass 7:
  Compare -37 and -62
  Swap -37 and -62
  List after swap: [-62, -37, -17, 16, 28, 38, 51, 68, 72, 75]
  Compare -37 and -17
  No swap needed
  Compare -17 and 16
  No swap needed

Pass 8:
  Compare -62 and -37
  No swap needed
  Compare -37 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -37, -17, 16, 28, 38, 51, 68, 72, 75]
</think>

<response>-62, -37, -17, 16, 28, 38, 51, 68, 72, 75</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -96, 93, 97, -23, 53.

output:
<think>
Initial list: [-96, 93, 97, -23, 53]

Pass 1:
  Compare -96 and 93
  No swap needed
  Compare 93 and 97
  No swap needed
  Compare 97 and -23
  Swap 97 and -23
  List after swap: [-96, 93, -23, 97, 53]
  Compare 97 and 53
  Swap 97 and 53
  List after swap: [-96, 93, -23, 53, 97]

Pass 2:
  Compare -96 and 93
  No swap needed
  Compare 93 and -23
  Swap 93 and -23
  List after swap: [-96, -23, 93, 53, 97]
  Compare 93 and 53
  Swap 93 and 53
  List after swap: [-96, -23, 53, 93, 97]

Pass 3:
  Compare -96 and -23
  No swap needed
  Compare -23 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -23, 53, 93, 97]
</think>

<response>-96, -23, 53, 93, 97</response>


input: Perform a bubble sort on the integers -37, 20, -85, 78, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-37, 20, -85, 78]

Pass 1:
  Compare -37 and 20
  No swap needed
  Compare 20 and -85
  Swap 20 and -85
  List after swap: [-37, -85, 20, 78]
  Compare 20 and 78
  No swap needed

Pass 2:
  Compare -37 and -85
  Swap -37 and -85
  List after swap: [-85, -37, 20, 78]
  Compare -37 and 20
  No swap needed

Pass 3:
  Compare -85 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -37, 20, 78]
</think>

<response>-85, -37, 20, 78</response>


input: Use the bubble sort technique to reorder 32, -70, -91 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [32, -70, -91]

Pass 1:
  Compare 32 and -70
  Swap 32 and -70
  List after swap: [-70, 32, -91]
  Compare 32 and -91
  Swap 32 and -91
  List after swap: [-70, -91, 32]

Pass 2:
  Compare -70 and -91
  Swap -70 and -91
  List after swap: [-91, -70, 32]

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

Final sorted list: [-91, -70, 32]
</think>

<response>-91, -70, 32</response>


input: Sort the list -22, -54, 24, -42, 73 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-22, -54, 24, -42, 73]

Pass 1:
  Compare -22 and -54
  Swap -22 and -54
  List after swap: [-54, -22, 24, -42, 73]
  Compare -22 and 24
  No swap needed
  Compare 24 and -42
  Swap 24 and -42
  List after swap: [-54, -22, -42, 24, 73]
  Compare 24 and 73
  No swap needed

Pass 2:
  Compare -54 and -22
  No swap needed
  Compare -22 and -42
  Swap -22 and -42
  List after swap: [-54, -42, -22, 24, 73]
  Compare -22 and 24
  No swap needed

Pass 3:
  Compare -54 and -42
  No swap needed
  Compare -42 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -42, -22, 24, 73]
</think>

<response>-54, -42, -22, 24, 73</response>


input: Using the bubble sort method, sort -54, 76, -16 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-54, 76, -16]

Pass 1:
  Compare -54 and 76
  No swap needed
  Compare 76 and -16
  Swap 76 and -16
  List after swap: [-54, -16, 76]

Pass 2:
  Compare -54 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -16, 76]
</think>

<response>-54, -16, 76</response>


input: Arrange the numbers 34, -90, -37 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [34, -90, -37]

Pass 1:
  Compare 34 and -90
  Swap 34 and -90
  List after swap: [-90, 34, -37]
  Compare 34 and -37
  Swap 34 and -37
  List after swap: [-90, -37, 34]

Pass 2:
  Compare -90 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -37, 34]
</think>

<response>-90, -37, 34</response>


input: Execute bubble sort to sort 0, -53, -98, -47, -79, 48, -35, 94, 31, 38 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [0, -53, -98, -47, -79, 48, -35, 94, 31, 38]

Pass 1:
  Compare 0 and -53
  Swap 0 and -53
  List after swap: [-53, 0, -98, -47, -79, 48, -35, 94, 31, 38]
  Compare 0 and -98
  Swap 0 and -98
  List after swap: [-53, -98, 0, -47, -79, 48, -35, 94, 31, 38]
  Compare 0 and -47
  Swap 0 and -47
  List after swap: [-53, -98, -47, 0, -79, 48, -35, 94, 31, 38]
  Compare 0 and -79
  Swap 0 and -79
  List after swap: [-53, -98, -47, -79, 0, 48, -35, 94, 31, 38]
  Compare 0 and 48
  No swap needed
  Compare 48 and -35
  Swap 48 and -35
  List after swap: [-53, -98, -47, -79, 0, -35, 48, 94, 31, 38]
  Compare 48 and 94
  No swap needed
  Compare 94 and 31
  Swap 94 and 31
  List after swap: [-53, -98, -47, -79, 0, -35, 48, 31, 94, 38]
  Compare 94 and 38
  Swap 94 and 38
  List after swap: [-53, -98, -47, -79, 0, -35, 48, 31, 38, 94]

Pass 2:
  Compare -53 and -98
  Swap -53 and -98
  List after swap: [-98, -53, -47, -79, 0, -35, 48, 31, 38, 94]
  Compare -53 and -47
  No swap needed
  Compare -47 and -79
  Swap -47 and -79
  List after swap: [-98, -53, -79, -47, 0, -35, 48, 31, 38, 94]
  Compare -47 and 0
  No swap needed
  Compare 0 and -35
  Swap 0 and -35
  List after swap: [-98, -53, -79, -47, -35, 0, 48, 31, 38, 94]
  Compare 0 and 48
  No swap needed
  Compare 48 and 31
  Swap 48 and 31
  List after swap: [-98, -53, -79, -47, -35, 0, 31, 48, 38, 94]
  Compare 48 and 38
  Swap 48 and 38
  List after swap: [-98, -53, -79, -47, -35, 0, 31, 38, 48, 94]

Pass 3:
  Compare -98 and -53
  No swap needed
  Compare -53 and -79
  Swap -53 and -79
  List after swap: [-98, -79, -53, -47, -35, 0, 31, 38, 48, 94]
  Compare -53 and -47
  No swap needed
  Compare -47 and -35
  No swap needed
  Compare -35 and 0
  No swap needed
  Compare 0 and 31
  No swap needed
  Compare 31 and 38
  No swap needed

Pass 4:
  Compare -98 and -79
  No swap needed
  Compare -79 and -53
  No swap needed
  Compare -53 and -47
  No swap needed
  Compare -47 and -35
  No swap needed
  Compare -35 and 0
  No swap needed
  Compare 0 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -79, -53, -47, -35, 0, 31, 38, 48, 94]
</think>

<response>-98, -79, -53, -47, -35, 0, 31, 38, 48, 94</response>


input: Arrange the numbers 94, -74, -82, -30, 13, -9, -96, 22, -18 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [94, -74, -82, -30, 13, -9, -96, 22, -18]

Pass 1:
  Compare 94 and -74
  Swap 94 and -74
  List after swap: [-74, 94, -82, -30, 13, -9, -96, 22, -18]
  Compare 94 and -82
  Swap 94 and -82
  List after swap: [-74, -82, 94, -30, 13, -9, -96, 22, -18]
  Compare 94 and -30
  Swap 94 and -30
  List after swap: [-74, -82, -30, 94, 13, -9, -96, 22, -18]
  Compare 94 and 13
  Swap 94 and 13
  List after swap: [-74, -82, -30, 13, 94, -9, -96, 22, -18]
  Compare 94 and -9
  Swap 94 and -9
  List after swap: [-74, -82, -30, 13, -9, 94, -96, 22, -18]
  Compare 94 and -96
  Swap 94 and -96
  List after swap: [-74, -82, -30, 13, -9, -96, 94, 22, -18]
  Compare 94 and 22
  Swap 94 and 22
  List after swap: [-74, -82, -30, 13, -9, -96, 22, 94, -18]
  Compare 94 and -18
  Swap 94 and -18
  List after swap: [-74, -82, -30, 13, -9, -96, 22, -18, 94]

Pass 2:
  Compare -74 and -82
  Swap -74 and -82
  List after swap: [-82, -74, -30, 13, -9, -96, 22, -18, 94]
  Compare -74 and -30
  No swap needed
  Compare -30 and 13
  No swap needed
  Compare 13 and -9
  Swap 13 and -9
  List after swap: [-82, -74, -30, -9, 13, -96, 22, -18, 94]
  Compare 13 and -96
  Swap 13 and -96
  List after swap: [-82, -74, -30, -9, -96, 13, 22, -18, 94]
  Compare 13 and 22
  No swap needed
  Compare 22 and -18
  Swap 22 and -18
  List after swap: [-82, -74, -30, -9, -96, 13, -18, 22, 94]

Pass 3:
  Compare -82 and -74
  No swap needed
  Compare -74 and -30
  No swap needed
  Compare -30 and -9
  No swap needed
  Compare -9 and -96
  Swap -9 and -96
  List after swap: [-82, -74, -30, -96, -9, 13, -18, 22, 94]
  Compare -9 and 13
  No swap needed
  Compare 13 and -18
  Swap 13 and -18
  List after swap: [-82, -74, -30, -96, -9, -18, 13, 22, 94]

Pass 4:
  Compare -82 and -74
  No swap needed
  Compare -74 and -30
  No swap needed
  Compare -30 and -96
  Swap -30 and -96
  List after swap: [-82, -74, -96, -30, -9, -18, 13, 22, 94]
  Compare -30 and -9
  No swap needed
  Compare -9 and -18
  Swap -9 and -18
  List after swap: [-82, -74, -96, -30, -18, -9, 13, 22, 94]

Pass 5:
  Compare -82 and -74
  No swap needed
  Compare -74 and -96
  Swap -74 and -96
  List after swap: [-82, -96, -74, -30, -18, -9, 13, 22, 94]
  Compare -74 and -30
  No swap needed
  Compare -30 and -18
  No swap needed

Pass 6:
  Compare -82 and -96
  Swap -82 and -96
  List after swap: [-96, -82, -74, -30, -18, -9, 13, 22, 94]
  Compare -82 and -74
  No swap needed
  Compare -74 and -30
  No swap needed

Pass 7:
  Compare -96 and -82
  No swap needed
  Compare -82 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -82, -74, -30, -18, -9, 13, 22, 94]
</think>

<response>-96, -82, -74, -30, -18, -9, 13, 22, 94</response>


input: Use the bubble sort technique to reorder 20, 73, -73, 64, -87, -36, 50, 16, 43 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [20, 73, -73, 64, -87, -36, 50, 16, 43]

Pass 1:
  Compare 20 and 73
  No swap needed
  Compare 73 and -73
  Swap 73 and -73
  List after swap: [20, -73, 73, 64, -87, -36, 50, 16, 43]
  Compare 73 and 64
  Swap 73 and 64
  List after swap: [20, -73, 64, 73, -87, -36, 50, 16, 43]
  Compare 73 and -87
  Swap 73 and -87
  List after swap: [20, -73, 64, -87, 73, -36, 50, 16, 43]
  Compare 73 and -36
  Swap 73 and -36
  List after swap: [20, -73, 64, -87, -36, 73, 50, 16, 43]
  Compare 73 and 50
  Swap 73 and 50
  List after swap: [20, -73, 64, -87, -36, 50, 73, 16, 43]
  Compare 73 and 16
  Swap 73 and 16
  List after swap: [20, -73, 64, -87, -36, 50, 16, 73, 43]
  Compare 73 and 43
  Swap 73 and 43
  List after swap: [20, -73, 64, -87, -36, 50, 16, 43, 73]

Pass 2:
  Compare 20 and -73
  Swap 20 and -73
  List after swap: [-73, 20, 64, -87, -36, 50, 16, 43, 73]
  Compare 20 and 64
  No swap needed
  Compare 64 and -87
  Swap 64 and -87
  List after swap: [-73, 20, -87, 64, -36, 50, 16, 43, 73]
  Compare 64 and -36
  Swap 64 and -36
  List after swap: [-73, 20, -87, -36, 64, 50, 16, 43, 73]
  Compare 64 and 50
  Swap 64 and 50
  List after swap: [-73, 20, -87, -36, 50, 64, 16, 43, 73]
  Compare 64 and 16
  Swap 64 and 16
  List after swap: [-73, 20, -87, -36, 50, 16, 64, 43, 73]
  Compare 64 and 43
  Swap 64 and 43
  List after swap: [-73, 20, -87, -36, 50, 16, 43, 64, 73]

Pass 3:
  Compare -73 and 20
  No swap needed
  Compare 20 and -87
  Swap 20 and -87
  List after swap: [-73, -87, 20, -36, 50, 16, 43, 64, 73]
  Compare 20 and -36
  Swap 20 and -36
  List after swap: [-73, -87, -36, 20, 50, 16, 43, 64, 73]
  Compare 20 and 50
  No swap needed
  Compare 50 and 16
  Swap 50 and 16
  List after swap: [-73, -87, -36, 20, 16, 50, 43, 64, 73]
  Compare 50 and 43
  Swap 50 and 43
  List after swap: [-73, -87, -36, 20, 16, 43, 50, 64, 73]

Pass 4:
  Compare -73 and -87
  Swap -73 and -87
  List after swap: [-87, -73, -36, 20, 16, 43, 50, 64, 73]
  Compare -73 and -36
  No swap needed
  Compare -36 and 20
  No swap needed
  Compare 20 and 16
  Swap 20 and 16
  List after swap: [-87, -73, -36, 16, 20, 43, 50, 64, 73]
  Compare 20 and 43
  No swap needed

Pass 5:
  Compare -87 and -73
  No swap needed
  Compare -73 and -36
  No swap needed
  Compare -36 and 16
  No swap needed
  Compare 16 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -73, -36, 16, 20, 43, 50, 64, 73]
</think>

<response>-87, -73, -36, 16, 20, 43, 50, 64, 73</response>


input: Carry out the bubble sort algorithm on -83, 85, 7, 78, -36, 23 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-83, 85, 7, 78, -36, 23]

Pass 1:
  Compare -83 and 85
  No swap needed
  Compare 85 and 7
  Swap 85 and 7
  List after swap: [-83, 7, 85, 78, -36, 23]
  Compare 85 and 78
  Swap 85 and 78
  List after swap: [-83, 7, 78, 85, -36, 23]
  Compare 85 and -36
  Swap 85 and -36
  List after swap: [-83, 7, 78, -36, 85, 23]
  Compare 85 and 23
  Swap 85 and 23
  List after swap: [-83, 7, 78, -36, 23, 85]

Pass 2:
  Compare -83 and 7
  No swap needed
  Compare 7 and 78
  No swap needed
  Compare 78 and -36
  Swap 78 and -36
  List after swap: [-83, 7, -36, 78, 23, 85]
  Compare 78 and 23
  Swap 78 and 23
  List after swap: [-83, 7, -36, 23, 78, 85]

Pass 3:
  Compare -83 and 7
  No swap needed
  Compare 7 and -36
  Swap 7 and -36
  List after swap: [-83, -36, 7, 23, 78, 85]
  Compare 7 and 23
  No swap needed

Pass 4:
  Compare -83 and -36
  No swap needed
  Compare -36 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -36, 7, 23, 78, 85]
</think>

<response>-83, -36, 7, 23, 78, 85</response>


input: Implement bubble sort on 8, -90, -57 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [8, -90, -57]

Pass 1:
  Compare 8 and -90
  Swap 8 and -90
  List after swap: [-90, 8, -57]
  Compare 8 and -57
  Swap 8 and -57
  List after swap: [-90, -57, 8]

Pass 2:
  Compare -90 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -57, 8]
</think>

<response>-90, -57, 8</response>


input: Carry out the bubble sort algorithm on -98, -54 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-98, -54]

Pass 1:
  Compare -98 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -54]
</think>

<response>-98, -54</response>