input: Execute bubble sort to sort -4, -61, 87, -34, -40, 78, 0, 29, -48 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-4, -61, 87, -34, -40, 78, 0, 29, -48]

Pass 1:
  Compare -4 and -61
  Swap -4 and -61
  List after swap: [-61, -4, 87, -34, -40, 78, 0, 29, -48]
  Compare -4 and 87
  No swap needed
  Compare 87 and -34
  Swap 87 and -34
  List after swap: [-61, -4, -34, 87, -40, 78, 0, 29, -48]
  Compare 87 and -40
  Swap 87 and -40
  List after swap: [-61, -4, -34, -40, 87, 78, 0, 29, -48]
  Compare 87 and 78
  Swap 87 and 78
  List after swap: [-61, -4, -34, -40, 78, 87, 0, 29, -48]
  Compare 87 and 0
  Swap 87 and 0
  List after swap: [-61, -4, -34, -40, 78, 0, 87, 29, -48]
  Compare 87 and 29
  Swap 87 and 29
  List after swap: [-61, -4, -34, -40, 78, 0, 29, 87, -48]
  Compare 87 and -48
  Swap 87 and -48
  List after swap: [-61, -4, -34, -40, 78, 0, 29, -48, 87]

Pass 2:
  Compare -61 and -4
  No swap needed
  Compare -4 and -34
  Swap -4 and -34
  List after swap: [-61, -34, -4, -40, 78, 0, 29, -48, 87]
  Compare -4 and -40
  Swap -4 and -40
  List after swap: [-61, -34, -40, -4, 78, 0, 29, -48, 87]
  Compare -4 and 78
  No swap needed
  Compare 78 and 0
  Swap 78 and 0
  List after swap: [-61, -34, -40, -4, 0, 78, 29, -48, 87]
  Compare 78 and 29
  Swap 78 and 29
  List after swap: [-61, -34, -40, -4, 0, 29, 78, -48, 87]
  Compare 78 and -48
  Swap 78 and -48
  List after swap: [-61, -34, -40, -4, 0, 29, -48, 78, 87]

Pass 3:
  Compare -61 and -34
  No swap needed
  Compare -34 and -40
  Swap -34 and -40
  List after swap: [-61, -40, -34, -4, 0, 29, -48, 78, 87]
  Compare -34 and -4
  No swap needed
  Compare -4 and 0
  No swap needed
  Compare 0 and 29
  No swap needed
  Compare 29 and -48
  Swap 29 and -48
  List after swap: [-61, -40, -34, -4, 0, -48, 29, 78, 87]

Pass 4:
  Compare -61 and -40
  No swap needed
  Compare -40 and -34
  No swap needed
  Compare -34 and -4
  No swap needed
  Compare -4 and 0
  No swap needed
  Compare 0 and -48
  Swap 0 and -48
  List after swap: [-61, -40, -34, -4, -48, 0, 29, 78, 87]

Pass 5:
  Compare -61 and -40
  No swap needed
  Compare -40 and -34
  No swap needed
  Compare -34 and -4
  No swap needed
  Compare -4 and -48
  Swap -4 and -48
  List after swap: [-61, -40, -34, -48, -4, 0, 29, 78, 87]

Pass 6:
  Compare -61 and -40
  No swap needed
  Compare -40 and -34
  No swap needed
  Compare -34 and -48
  Swap -34 and -48
  List after swap: [-61, -40, -48, -34, -4, 0, 29, 78, 87]

Pass 7:
  Compare -61 and -40
  No swap needed
  Compare -40 and -48
  Swap -40 and -48
  List after swap: [-61, -48, -40, -34, -4, 0, 29, 78, 87]

Pass 8:
  Compare -61 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -48, -40, -34, -4, 0, 29, 78, 87]
</think>

<response>-61, -48, -40, -34, -4, 0, 29, 78, 87</response>


input: Execute bubble sort to sort 94, -79, 86, 88 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [94, -79, 86, 88]

Pass 1:
  Compare 94 and -79
  Swap 94 and -79
  List after swap: [-79, 94, 86, 88]
  Compare 94 and 86
  Swap 94 and 86
  List after swap: [-79, 86, 94, 88]
  Compare 94 and 88
  Swap 94 and 88
  List after swap: [-79, 86, 88, 94]

Pass 2:
  Compare -79 and 86
  No swap needed
  Compare 86 and 88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, 86, 88, 94]
</think>

<response>-79, 86, 88, 94</response>


input: Execute bubble sort to sort -84, -45 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-84, -45]

Pass 1:
  Compare -84 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -45]
</think>

<response>-84, -45</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 47, 38, 75, 2, 15.

output:
<think>
Initial list: [47, 38, 75, 2, 15]

Pass 1:
  Compare 47 and 38
  Swap 47 and 38
  List after swap: [38, 47, 75, 2, 15]
  Compare 47 and 75
  No swap needed
  Compare 75 and 2
  Swap 75 and 2
  List after swap: [38, 47, 2, 75, 15]
  Compare 75 and 15
  Swap 75 and 15
  List after swap: [38, 47, 2, 15, 75]

Pass 2:
  Compare 38 and 47
  No swap needed
  Compare 47 and 2
  Swap 47 and 2
  List after swap: [38, 2, 47, 15, 75]
  Compare 47 and 15
  Swap 47 and 15
  List after swap: [38, 2, 15, 47, 75]

Pass 3:
  Compare 38 and 2
  Swap 38 and 2
  List after swap: [2, 38, 15, 47, 75]
  Compare 38 and 15
  Swap 38 and 15
  List after swap: [2, 15, 38, 47, 75]

Pass 4:
  Compare 2 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [2, 15, 38, 47, 75]
</think>

<response>2, 15, 38, 47, 75</response>


input: Execute bubble sort to sort -44, -22, -56, -90, 71 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-44, -22, -56, -90, 71]

Pass 1:
  Compare -44 and -22
  No swap needed
  Compare -22 and -56
  Swap -22 and -56
  List after swap: [-44, -56, -22, -90, 71]
  Compare -22 and -90
  Swap -22 and -90
  List after swap: [-44, -56, -90, -22, 71]
  Compare -22 and 71
  No swap needed

Pass 2:
  Compare -44 and -56
  Swap -44 and -56
  List after swap: [-56, -44, -90, -22, 71]
  Compare -44 and -90
  Swap -44 and -90
  List after swap: [-56, -90, -44, -22, 71]
  Compare -44 and -22
  No swap needed

Pass 3:
  Compare -56 and -90
  Swap -56 and -90
  List after swap: [-90, -56, -44, -22, 71]
  Compare -56 and -44
  No swap needed

Pass 4:
  Compare -90 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -56, -44, -22, 71]
</think>

<response>-90, -56, -44, -22, 71</response>


input: Execute bubble sort to sort 14, 82, 53, 27, -89, 36, 49, 39 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [14, 82, 53, 27, -89, 36, 49, 39]

Pass 1:
  Compare 14 and 82
  No swap needed
  Compare 82 and 53
  Swap 82 and 53
  List after swap: [14, 53, 82, 27, -89, 36, 49, 39]
  Compare 82 and 27
  Swap 82 and 27
  List after swap: [14, 53, 27, 82, -89, 36, 49, 39]
  Compare 82 and -89
  Swap 82 and -89
  List after swap: [14, 53, 27, -89, 82, 36, 49, 39]
  Compare 82 and 36
  Swap 82 and 36
  List after swap: [14, 53, 27, -89, 36, 82, 49, 39]
  Compare 82 and 49
  Swap 82 and 49
  List after swap: [14, 53, 27, -89, 36, 49, 82, 39]
  Compare 82 and 39
  Swap 82 and 39
  List after swap: [14, 53, 27, -89, 36, 49, 39, 82]

Pass 2:
  Compare 14 and 53
  No swap needed
  Compare 53 and 27
  Swap 53 and 27
  List after swap: [14, 27, 53, -89, 36, 49, 39, 82]
  Compare 53 and -89
  Swap 53 and -89
  List after swap: [14, 27, -89, 53, 36, 49, 39, 82]
  Compare 53 and 36
  Swap 53 and 36
  List after swap: [14, 27, -89, 36, 53, 49, 39, 82]
  Compare 53 and 49
  Swap 53 and 49
  List after swap: [14, 27, -89, 36, 49, 53, 39, 82]
  Compare 53 and 39
  Swap 53 and 39
  List after swap: [14, 27, -89, 36, 49, 39, 53, 82]

Pass 3:
  Compare 14 and 27
  No swap needed
  Compare 27 and -89
  Swap 27 and -89
  List after swap: [14, -89, 27, 36, 49, 39, 53, 82]
  Compare 27 and 36
  No swap needed
  Compare 36 and 49
  No swap needed
  Compare 49 and 39
  Swap 49 and 39
  List after swap: [14, -89, 27, 36, 39, 49, 53, 82]

Pass 4:
  Compare 14 and -89
  Swap 14 and -89
  List after swap: [-89, 14, 27, 36, 39, 49, 53, 82]
  Compare 14 and 27
  No swap needed
  Compare 27 and 36
  No swap needed
  Compare 36 and 39
  No swap needed

Pass 5:
  Compare -89 and 14
  No swap needed
  Compare 14 and 27
  No swap needed
  Compare 27 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, 14, 27, 36, 39, 49, 53, 82]
</think>

<response>-89, 14, 27, 36, 39, 49, 53, 82</response>


input: Sort these integers 59, 34, 24, -8, -11, -48, 76, -46, 63 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [59, 34, 24, -8, -11, -48, 76, -46, 63]

Pass 1:
  Compare 59 and 34
  Swap 59 and 34
  List after swap: [34, 59, 24, -8, -11, -48, 76, -46, 63]
  Compare 59 and 24
  Swap 59 and 24
  List after swap: [34, 24, 59, -8, -11, -48, 76, -46, 63]
  Compare 59 and -8
  Swap 59 and -8
  List after swap: [34, 24, -8, 59, -11, -48, 76, -46, 63]
  Compare 59 and -11
  Swap 59 and -11
  List after swap: [34, 24, -8, -11, 59, -48, 76, -46, 63]
  Compare 59 and -48
  Swap 59 and -48
  List after swap: [34, 24, -8, -11, -48, 59, 76, -46, 63]
  Compare 59 and 76
  No swap needed
  Compare 76 and -46
  Swap 76 and -46
  List after swap: [34, 24, -8, -11, -48, 59, -46, 76, 63]
  Compare 76 and 63
  Swap 76 and 63
  List after swap: [34, 24, -8, -11, -48, 59, -46, 63, 76]

Pass 2:
  Compare 34 and 24
  Swap 34 and 24
  List after swap: [24, 34, -8, -11, -48, 59, -46, 63, 76]
  Compare 34 and -8
  Swap 34 and -8
  List after swap: [24, -8, 34, -11, -48, 59, -46, 63, 76]
  Compare 34 and -11
  Swap 34 and -11
  List after swap: [24, -8, -11, 34, -48, 59, -46, 63, 76]
  Compare 34 and -48
  Swap 34 and -48
  List after swap: [24, -8, -11, -48, 34, 59, -46, 63, 76]
  Compare 34 and 59
  No swap needed
  Compare 59 and -46
  Swap 59 and -46
  List after swap: [24, -8, -11, -48, 34, -46, 59, 63, 76]
  Compare 59 and 63
  No swap needed

Pass 3:
  Compare 24 and -8
  Swap 24 and -8
  List after swap: [-8, 24, -11, -48, 34, -46, 59, 63, 76]
  Compare 24 and -11
  Swap 24 and -11
  List after swap: [-8, -11, 24, -48, 34, -46, 59, 63, 76]
  Compare 24 and -48
  Swap 24 and -48
  List after swap: [-8, -11, -48, 24, 34, -46, 59, 63, 76]
  Compare 24 and 34
  No swap needed
  Compare 34 and -46
  Swap 34 and -46
  List after swap: [-8, -11, -48, 24, -46, 34, 59, 63, 76]
  Compare 34 and 59
  No swap needed

Pass 4:
  Compare -8 and -11
  Swap -8 and -11
  List after swap: [-11, -8, -48, 24, -46, 34, 59, 63, 76]
  Compare -8 and -48
  Swap -8 and -48
  List after swap: [-11, -48, -8, 24, -46, 34, 59, 63, 76]
  Compare -8 and 24
  No swap needed
  Compare 24 and -46
  Swap 24 and -46
  List after swap: [-11, -48, -8, -46, 24, 34, 59, 63, 76]
  Compare 24 and 34
  No swap needed

Pass 5:
  Compare -11 and -48
  Swap -11 and -48
  List after swap: [-48, -11, -8, -46, 24, 34, 59, 63, 76]
  Compare -11 and -8
  No swap needed
  Compare -8 and -46
  Swap -8 and -46
  List after swap: [-48, -11, -46, -8, 24, 34, 59, 63, 76]
  Compare -8 and 24
  No swap needed

Pass 6:
  Compare -48 and -11
  No swap needed
  Compare -11 and -46
  Swap -11 and -46
  List after swap: [-48, -46, -11, -8, 24, 34, 59, 63, 76]
  Compare -11 and -8
  No swap needed

Pass 7:
  Compare -48 and -46
  No swap needed
  Compare -46 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -46, -11, -8, 24, 34, 59, 63, 76]
</think>

<response>-48, -46, -11, -8, 24, 34, 59, 63, 76</response>


input: Use the bubble sort technique to reorder -48, 58, -24 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-48, 58, -24]

Pass 1:
  Compare -48 and 58
  No swap needed
  Compare 58 and -24
  Swap 58 and -24
  List after swap: [-48, -24, 58]

Pass 2:
  Compare -48 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -24, 58]
</think>

<response>-48, -24, 58</response>


input: Carry out the bubble sort algorithm on 50, 56, -77, 5, -92 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [50, 56, -77, 5, -92]

Pass 1:
  Compare 50 and 56
  No swap needed
  Compare 56 and -77
  Swap 56 and -77
  List after swap: [50, -77, 56, 5, -92]
  Compare 56 and 5
  Swap 56 and 5
  List after swap: [50, -77, 5, 56, -92]
  Compare 56 and -92
  Swap 56 and -92
  List after swap: [50, -77, 5, -92, 56]

Pass 2:
  Compare 50 and -77
  Swap 50 and -77
  List after swap: [-77, 50, 5, -92, 56]
  Compare 50 and 5
  Swap 50 and 5
  List after swap: [-77, 5, 50, -92, 56]
  Compare 50 and -92
  Swap 50 and -92
  List after swap: [-77, 5, -92, 50, 56]

Pass 3:
  Compare -77 and 5
  No swap needed
  Compare 5 and -92
  Swap 5 and -92
  List after swap: [-77, -92, 5, 50, 56]

Pass 4:
  Compare -77 and -92
  Swap -77 and -92
  List after swap: [-92, -77, 5, 50, 56]

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

Final sorted list: [-92, -77, 5, 50, 56]
</think>

<response>-92, -77, 5, 50, 56</response>


input: Carry out the bubble sort algorithm on -93, -59, -70, 77, 5, -33, -17, 68, 74 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-93, -59, -70, 77, 5, -33, -17, 68, 74]

Pass 1:
  Compare -93 and -59
  No swap needed
  Compare -59 and -70
  Swap -59 and -70
  List after swap: [-93, -70, -59, 77, 5, -33, -17, 68, 74]
  Compare -59 and 77
  No swap needed
  Compare 77 and 5
  Swap 77 and 5
  List after swap: [-93, -70, -59, 5, 77, -33, -17, 68, 74]
  Compare 77 and -33
  Swap 77 and -33
  List after swap: [-93, -70, -59, 5, -33, 77, -17, 68, 74]
  Compare 77 and -17
  Swap 77 and -17
  List after swap: [-93, -70, -59, 5, -33, -17, 77, 68, 74]
  Compare 77 and 68
  Swap 77 and 68
  List after swap: [-93, -70, -59, 5, -33, -17, 68, 77, 74]
  Compare 77 and 74
  Swap 77 and 74
  List after swap: [-93, -70, -59, 5, -33, -17, 68, 74, 77]

Pass 2:
  Compare -93 and -70
  No swap needed
  Compare -70 and -59
  No swap needed
  Compare -59 and 5
  No swap needed
  Compare 5 and -33
  Swap 5 and -33
  List after swap: [-93, -70, -59, -33, 5, -17, 68, 74, 77]
  Compare 5 and -17
  Swap 5 and -17
  List after swap: [-93, -70, -59, -33, -17, 5, 68, 74, 77]
  Compare 5 and 68
  No swap needed
  Compare 68 and 74
  No swap needed

Pass 3:
  Compare -93 and -70
  No swap needed
  Compare -70 and -59
  No swap needed
  Compare -59 and -33
  No swap needed
  Compare -33 and -17
  No swap needed
  Compare -17 and 5
  No swap needed
  Compare 5 and 68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -70, -59, -33, -17, 5, 68, 74, 77]
</think>

<response>-93, -70, -59, -33, -17, 5, 68, 74, 77</response>


input: Sort the list 61, 40, 47, -80, 29, 27, 20, -52, 57 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [61, 40, 47, -80, 29, 27, 20, -52, 57]

Pass 1:
  Compare 61 and 40
  Swap 61 and 40
  List after swap: [40, 61, 47, -80, 29, 27, 20, -52, 57]
  Compare 61 and 47
  Swap 61 and 47
  List after swap: [40, 47, 61, -80, 29, 27, 20, -52, 57]
  Compare 61 and -80
  Swap 61 and -80
  List after swap: [40, 47, -80, 61, 29, 27, 20, -52, 57]
  Compare 61 and 29
  Swap 61 and 29
  List after swap: [40, 47, -80, 29, 61, 27, 20, -52, 57]
  Compare 61 and 27
  Swap 61 and 27
  List after swap: [40, 47, -80, 29, 27, 61, 20, -52, 57]
  Compare 61 and 20
  Swap 61 and 20
  List after swap: [40, 47, -80, 29, 27, 20, 61, -52, 57]
  Compare 61 and -52
  Swap 61 and -52
  List after swap: [40, 47, -80, 29, 27, 20, -52, 61, 57]
  Compare 61 and 57
  Swap 61 and 57
  List after swap: [40, 47, -80, 29, 27, 20, -52, 57, 61]

Pass 2:
  Compare 40 and 47
  No swap needed
  Compare 47 and -80
  Swap 47 and -80
  List after swap: [40, -80, 47, 29, 27, 20, -52, 57, 61]
  Compare 47 and 29
  Swap 47 and 29
  List after swap: [40, -80, 29, 47, 27, 20, -52, 57, 61]
  Compare 47 and 27
  Swap 47 and 27
  List after swap: [40, -80, 29, 27, 47, 20, -52, 57, 61]
  Compare 47 and 20
  Swap 47 and 20
  List after swap: [40, -80, 29, 27, 20, 47, -52, 57, 61]
  Compare 47 and -52
  Swap 47 and -52
  List after swap: [40, -80, 29, 27, 20, -52, 47, 57, 61]
  Compare 47 and 57
  No swap needed

Pass 3:
  Compare 40 and -80
  Swap 40 and -80
  List after swap: [-80, 40, 29, 27, 20, -52, 47, 57, 61]
  Compare 40 and 29
  Swap 40 and 29
  List after swap: [-80, 29, 40, 27, 20, -52, 47, 57, 61]
  Compare 40 and 27
  Swap 40 and 27
  List after swap: [-80, 29, 27, 40, 20, -52, 47, 57, 61]
  Compare 40 and 20
  Swap 40 and 20
  List after swap: [-80, 29, 27, 20, 40, -52, 47, 57, 61]
  Compare 40 and -52
  Swap 40 and -52
  List after swap: [-80, 29, 27, 20, -52, 40, 47, 57, 61]
  Compare 40 and 47
  No swap needed

Pass 4:
  Compare -80 and 29
  No swap needed
  Compare 29 and 27
  Swap 29 and 27
  List after swap: [-80, 27, 29, 20, -52, 40, 47, 57, 61]
  Compare 29 and 20
  Swap 29 and 20
  List after swap: [-80, 27, 20, 29, -52, 40, 47, 57, 61]
  Compare 29 and -52
  Swap 29 and -52
  List after swap: [-80, 27, 20, -52, 29, 40, 47, 57, 61]
  Compare 29 and 40
  No swap needed

Pass 5:
  Compare -80 and 27
  No swap needed
  Compare 27 and 20
  Swap 27 and 20
  List after swap: [-80, 20, 27, -52, 29, 40, 47, 57, 61]
  Compare 27 and -52
  Swap 27 and -52
  List after swap: [-80, 20, -52, 27, 29, 40, 47, 57, 61]
  Compare 27 and 29
  No swap needed

Pass 6:
  Compare -80 and 20
  No swap needed
  Compare 20 and -52
  Swap 20 and -52
  List after swap: [-80, -52, 20, 27, 29, 40, 47, 57, 61]
  Compare 20 and 27
  No swap needed

Pass 7:
  Compare -80 and -52
  No swap needed
  Compare -52 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -52, 20, 27, 29, 40, 47, 57, 61]
</think>

<response>-80, -52, 20, 27, 29, 40, 47, 57, 61</response>


input: Use the bubble sort technique to reorder -88, 14, 11, -85 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-88, 14, 11, -85]

Pass 1:
  Compare -88 and 14
  No swap needed
  Compare 14 and 11
  Swap 14 and 11
  List after swap: [-88, 11, 14, -85]
  Compare 14 and -85
  Swap 14 and -85
  List after swap: [-88, 11, -85, 14]

Pass 2:
  Compare -88 and 11
  No swap needed
  Compare 11 and -85
  Swap 11 and -85
  List after swap: [-88, -85, 11, 14]

Pass 3:
  Compare -88 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -85, 11, 14]
</think>

<response>-88, -85, 11, 14</response>


input: Implement bubble sort on 18, -48, 2, 10, 16 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [18, -48, 2, 10, 16]

Pass 1:
  Compare 18 and -48
  Swap 18 and -48
  List after swap: [-48, 18, 2, 10, 16]
  Compare 18 and 2
  Swap 18 and 2
  List after swap: [-48, 2, 18, 10, 16]
  Compare 18 and 10
  Swap 18 and 10
  List after swap: [-48, 2, 10, 18, 16]
  Compare 18 and 16
  Swap 18 and 16
  List after swap: [-48, 2, 10, 16, 18]

Pass 2:
  Compare -48 and 2
  No swap needed
  Compare 2 and 10
  No swap needed
  Compare 10 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, 2, 10, 16, 18]
</think>

<response>-48, 2, 10, 16, 18</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 84, 75, -99, -62, 67, 33.

output:
<think>
Initial list: [84, 75, -99, -62, 67, 33]

Pass 1:
  Compare 84 and 75
  Swap 84 and 75
  List after swap: [75, 84, -99, -62, 67, 33]
  Compare 84 and -99
  Swap 84 and -99
  List after swap: [75, -99, 84, -62, 67, 33]
  Compare 84 and -62
  Swap 84 and -62
  List after swap: [75, -99, -62, 84, 67, 33]
  Compare 84 and 67
  Swap 84 and 67
  List after swap: [75, -99, -62, 67, 84, 33]
  Compare 84 and 33
  Swap 84 and 33
  List after swap: [75, -99, -62, 67, 33, 84]

Pass 2:
  Compare 75 and -99
  Swap 75 and -99
  List after swap: [-99, 75, -62, 67, 33, 84]
  Compare 75 and -62
  Swap 75 and -62
  List after swap: [-99, -62, 75, 67, 33, 84]
  Compare 75 and 67
  Swap 75 and 67
  List after swap: [-99, -62, 67, 75, 33, 84]
  Compare 75 and 33
  Swap 75 and 33
  List after swap: [-99, -62, 67, 33, 75, 84]

Pass 3:
  Compare -99 and -62
  No swap needed
  Compare -62 and 67
  No swap needed
  Compare 67 and 33
  Swap 67 and 33
  List after swap: [-99, -62, 33, 67, 75, 84]

Pass 4:
  Compare -99 and -62
  No swap needed
  Compare -62 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -62, 33, 67, 75, 84]
</think>

<response>-99, -62, 33, 67, 75, 84</response>


input: Perform a bubble sort on the integers 41, -71, 55, -85, 0, 27, -5, 5, 80, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [41, -71, 55, -85, 0, 27, -5, 5, 80]

Pass 1:
  Compare 41 and -71
  Swap 41 and -71
  List after swap: [-71, 41, 55, -85, 0, 27, -5, 5, 80]
  Compare 41 and 55
  No swap needed
  Compare 55 and -85
  Swap 55 and -85
  List after swap: [-71, 41, -85, 55, 0, 27, -5, 5, 80]
  Compare 55 and 0
  Swap 55 and 0
  List after swap: [-71, 41, -85, 0, 55, 27, -5, 5, 80]
  Compare 55 and 27
  Swap 55 and 27
  List after swap: [-71, 41, -85, 0, 27, 55, -5, 5, 80]
  Compare 55 and -5
  Swap 55 and -5
  List after swap: [-71, 41, -85, 0, 27, -5, 55, 5, 80]
  Compare 55 and 5
  Swap 55 and 5
  List after swap: [-71, 41, -85, 0, 27, -5, 5, 55, 80]
  Compare 55 and 80
  No swap needed

Pass 2:
  Compare -71 and 41
  No swap needed
  Compare 41 and -85
  Swap 41 and -85
  List after swap: [-71, -85, 41, 0, 27, -5, 5, 55, 80]
  Compare 41 and 0
  Swap 41 and 0
  List after swap: [-71, -85, 0, 41, 27, -5, 5, 55, 80]
  Compare 41 and 27
  Swap 41 and 27
  List after swap: [-71, -85, 0, 27, 41, -5, 5, 55, 80]
  Compare 41 and -5
  Swap 41 and -5
  List after swap: [-71, -85, 0, 27, -5, 41, 5, 55, 80]
  Compare 41 and 5
  Swap 41 and 5
  List after swap: [-71, -85, 0, 27, -5, 5, 41, 55, 80]
  Compare 41 and 55
  No swap needed

Pass 3:
  Compare -71 and -85
  Swap -71 and -85
  List after swap: [-85, -71, 0, 27, -5, 5, 41, 55, 80]
  Compare -71 and 0
  No swap needed
  Compare 0 and 27
  No swap needed
  Compare 27 and -5
  Swap 27 and -5
  List after swap: [-85, -71, 0, -5, 27, 5, 41, 55, 80]
  Compare 27 and 5
  Swap 27 and 5
  List after swap: [-85, -71, 0, -5, 5, 27, 41, 55, 80]
  Compare 27 and 41
  No swap needed

Pass 4:
  Compare -85 and -71
  No swap needed
  Compare -71 and 0
  No swap needed
  Compare 0 and -5
  Swap 0 and -5
  List after swap: [-85, -71, -5, 0, 5, 27, 41, 55, 80]
  Compare 0 and 5
  No swap needed
  Compare 5 and 27
  No swap needed

Pass 5:
  Compare -85 and -71
  No swap needed
  Compare -71 and -5
  No swap needed
  Compare -5 and 0
  No swap needed
  Compare 0 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -71, -5, 0, 5, 27, 41, 55, 80]
</think>

<response>-85, -71, -5, 0, 5, 27, 41, 55, 80</response>


input: Implement bubble sort on -78, -61, -39, 5, 70, 39, 77 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-78, -61, -39, 5, 70, 39, 77]

Pass 1:
  Compare -78 and -61
  No swap needed
  Compare -61 and -39
  No swap needed
  Compare -39 and 5
  No swap needed
  Compare 5 and 70
  No swap needed
  Compare 70 and 39
  Swap 70 and 39
  List after swap: [-78, -61, -39, 5, 39, 70, 77]
  Compare 70 and 77
  No swap needed

Pass 2:
  Compare -78 and -61
  No swap needed
  Compare -61 and -39
  No swap needed
  Compare -39 and 5
  No swap needed
  Compare 5 and 39
  No swap needed
  Compare 39 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -61, -39, 5, 39, 70, 77]
</think>

<response>-78, -61, -39, 5, 39, 70, 77</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 8, 69, -90, -84, -54.

output:
<think>
Initial list: [8, 69, -90, -84, -54]

Pass 1:
  Compare 8 and 69
  No swap needed
  Compare 69 and -90
  Swap 69 and -90
  List after swap: [8, -90, 69, -84, -54]
  Compare 69 and -84
  Swap 69 and -84
  List after swap: [8, -90, -84, 69, -54]
  Compare 69 and -54
  Swap 69 and -54
  List after swap: [8, -90, -84, -54, 69]

Pass 2:
  Compare 8 and -90
  Swap 8 and -90
  List after swap: [-90, 8, -84, -54, 69]
  Compare 8 and -84
  Swap 8 and -84
  List after swap: [-90, -84, 8, -54, 69]
  Compare 8 and -54
  Swap 8 and -54
  List after swap: [-90, -84, -54, 8, 69]

Pass 3:
  Compare -90 and -84
  No swap needed
  Compare -84 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -84, -54, 8, 69]
</think>

<response>-90, -84, -54, 8, 69</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 52, -54, -78, 31, 75, -46, 67, 12.

output:
<think>
Initial list: [52, -54, -78, 31, 75, -46, 67, 12]

Pass 1:
  Compare 52 and -54
  Swap 52 and -54
  List after swap: [-54, 52, -78, 31, 75, -46, 67, 12]
  Compare 52 and -78
  Swap 52 and -78
  List after swap: [-54, -78, 52, 31, 75, -46, 67, 12]
  Compare 52 and 31
  Swap 52 and 31
  List after swap: [-54, -78, 31, 52, 75, -46, 67, 12]
  Compare 52 and 75
  No swap needed
  Compare 75 and -46
  Swap 75 and -46
  List after swap: [-54, -78, 31, 52, -46, 75, 67, 12]
  Compare 75 and 67
  Swap 75 and 67
  List after swap: [-54, -78, 31, 52, -46, 67, 75, 12]
  Compare 75 and 12
  Swap 75 and 12
  List after swap: [-54, -78, 31, 52, -46, 67, 12, 75]

Pass 2:
  Compare -54 and -78
  Swap -54 and -78
  List after swap: [-78, -54, 31, 52, -46, 67, 12, 75]
  Compare -54 and 31
  No swap needed
  Compare 31 and 52
  No swap needed
  Compare 52 and -46
  Swap 52 and -46
  List after swap: [-78, -54, 31, -46, 52, 67, 12, 75]
  Compare 52 and 67
  No swap needed
  Compare 67 and 12
  Swap 67 and 12
  List after swap: [-78, -54, 31, -46, 52, 12, 67, 75]

Pass 3:
  Compare -78 and -54
  No swap needed
  Compare -54 and 31
  No swap needed
  Compare 31 and -46
  Swap 31 and -46
  List after swap: [-78, -54, -46, 31, 52, 12, 67, 75]
  Compare 31 and 52
  No swap needed
  Compare 52 and 12
  Swap 52 and 12
  List after swap: [-78, -54, -46, 31, 12, 52, 67, 75]

Pass 4:
  Compare -78 and -54
  No swap needed
  Compare -54 and -46
  No swap needed
  Compare -46 and 31
  No swap needed
  Compare 31 and 12
  Swap 31 and 12
  List after swap: [-78, -54, -46, 12, 31, 52, 67, 75]

Pass 5:
  Compare -78 and -54
  No swap needed
  Compare -54 and -46
  No swap needed
  Compare -46 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -54, -46, 12, 31, 52, 67, 75]
</think>

<response>-78, -54, -46, 12, 31, 52, 67, 75</response>


input: Using the bubble sort method, sort -76, 3, 79, 8, -13, -82, 16, 92 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-76, 3, 79, 8, -13, -82, 16, 92]

Pass 1:
  Compare -76 and 3
  No swap needed
  Compare 3 and 79
  No swap needed
  Compare 79 and 8
  Swap 79 and 8
  List after swap: [-76, 3, 8, 79, -13, -82, 16, 92]
  Compare 79 and -13
  Swap 79 and -13
  List after swap: [-76, 3, 8, -13, 79, -82, 16, 92]
  Compare 79 and -82
  Swap 79 and -82
  List after swap: [-76, 3, 8, -13, -82, 79, 16, 92]
  Compare 79 and 16
  Swap 79 and 16
  List after swap: [-76, 3, 8, -13, -82, 16, 79, 92]
  Compare 79 and 92
  No swap needed

Pass 2:
  Compare -76 and 3
  No swap needed
  Compare 3 and 8
  No swap needed
  Compare 8 and -13
  Swap 8 and -13
  List after swap: [-76, 3, -13, 8, -82, 16, 79, 92]
  Compare 8 and -82
  Swap 8 and -82
  List after swap: [-76, 3, -13, -82, 8, 16, 79, 92]
  Compare 8 and 16
  No swap needed
  Compare 16 and 79
  No swap needed

Pass 3:
  Compare -76 and 3
  No swap needed
  Compare 3 and -13
  Swap 3 and -13
  List after swap: [-76, -13, 3, -82, 8, 16, 79, 92]
  Compare 3 and -82
  Swap 3 and -82
  List after swap: [-76, -13, -82, 3, 8, 16, 79, 92]
  Compare 3 and 8
  No swap needed
  Compare 8 and 16
  No swap needed

Pass 4:
  Compare -76 and -13
  No swap needed
  Compare -13 and -82
  Swap -13 and -82
  List after swap: [-76, -82, -13, 3, 8, 16, 79, 92]
  Compare -13 and 3
  No swap needed
  Compare 3 and 8
  No swap needed

Pass 5:
  Compare -76 and -82
  Swap -76 and -82
  List after swap: [-82, -76, -13, 3, 8, 16, 79, 92]
  Compare -76 and -13
  No swap needed
  Compare -13 and 3
  No swap needed

Pass 6:
  Compare -82 and -76
  No swap needed
  Compare -76 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -76, -13, 3, 8, 16, 79, 92]
</think>

<response>-82, -76, -13, 3, 8, 16, 79, 92</response>


input: Demonstrate how bubble sort orders the integers -26, -73, -66, -83, 3, 85, -80, -97, -7, -84 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-26, -73, -66, -83, 3, 85, -80, -97, -7, -84]

Pass 1:
  Compare -26 and -73
  Swap -26 and -73
  List after swap: [-73, -26, -66, -83, 3, 85, -80, -97, -7, -84]
  Compare -26 and -66
  Swap -26 and -66
  List after swap: [-73, -66, -26, -83, 3, 85, -80, -97, -7, -84]
  Compare -26 and -83
  Swap -26 and -83
  List after swap: [-73, -66, -83, -26, 3, 85, -80, -97, -7, -84]
  Compare -26 and 3
  No swap needed
  Compare 3 and 85
  No swap needed
  Compare 85 and -80
  Swap 85 and -80
  List after swap: [-73, -66, -83, -26, 3, -80, 85, -97, -7, -84]
  Compare 85 and -97
  Swap 85 and -97
  List after swap: [-73, -66, -83, -26, 3, -80, -97, 85, -7, -84]
  Compare 85 and -7
  Swap 85 and -7
  List after swap: [-73, -66, -83, -26, 3, -80, -97, -7, 85, -84]
  Compare 85 and -84
  Swap 85 and -84
  List after swap: [-73, -66, -83, -26, 3, -80, -97, -7, -84, 85]

Pass 2:
  Compare -73 and -66
  No swap needed
  Compare -66 and -83
  Swap -66 and -83
  List after swap: [-73, -83, -66, -26, 3, -80, -97, -7, -84, 85]
  Compare -66 and -26
  No swap needed
  Compare -26 and 3
  No swap needed
  Compare 3 and -80
  Swap 3 and -80
  List after swap: [-73, -83, -66, -26, -80, 3, -97, -7, -84, 85]
  Compare 3 and -97
  Swap 3 and -97
  List after swap: [-73, -83, -66, -26, -80, -97, 3, -7, -84, 85]
  Compare 3 and -7
  Swap 3 and -7
  List after swap: [-73, -83, -66, -26, -80, -97, -7, 3, -84, 85]
  Compare 3 and -84
  Swap 3 and -84
  List after swap: [-73, -83, -66, -26, -80, -97, -7, -84, 3, 85]

Pass 3:
  Compare -73 and -83
  Swap -73 and -83
  List after swap: [-83, -73, -66, -26, -80, -97, -7, -84, 3, 85]
  Compare -73 and -66
  No swap needed
  Compare -66 and -26
  No swap needed
  Compare -26 and -80
  Swap -26 and -80
  List after swap: [-83, -73, -66, -80, -26, -97, -7, -84, 3, 85]
  Compare -26 and -97
  Swap -26 and -97
  List after swap: [-83, -73, -66, -80, -97, -26, -7, -84, 3, 85]
  Compare -26 and -7
  No swap needed
  Compare -7 and -84
  Swap -7 and -84
  List after swap: [-83, -73, -66, -80, -97, -26, -84, -7, 3, 85]

Pass 4:
  Compare -83 and -73
  No swap needed
  Compare -73 and -66
  No swap needed
  Compare -66 and -80
  Swap -66 and -80
  List after swap: [-83, -73, -80, -66, -97, -26, -84, -7, 3, 85]
  Compare -66 and -97
  Swap -66 and -97
  List after swap: [-83, -73, -80, -97, -66, -26, -84, -7, 3, 85]
  Compare -66 and -26
  No swap needed
  Compare -26 and -84
  Swap -26 and -84
  List after swap: [-83, -73, -80, -97, -66, -84, -26, -7, 3, 85]

Pass 5:
  Compare -83 and -73
  No swap needed
  Compare -73 and -80
  Swap -73 and -80
  List after swap: [-83, -80, -73, -97, -66, -84, -26, -7, 3, 85]
  Compare -73 and -97
  Swap -73 and -97
  List after swap: [-83, -80, -97, -73, -66, -84, -26, -7, 3, 85]
  Compare -73 and -66
  No swap needed
  Compare -66 and -84
  Swap -66 and -84
  List after swap: [-83, -80, -97, -73, -84, -66, -26, -7, 3, 85]

Pass 6:
  Compare -83 and -80
  No swap needed
  Compare -80 and -97
  Swap -80 and -97
  List after swap: [-83, -97, -80, -73, -84, -66, -26, -7, 3, 85]
  Compare -80 and -73
  No swap needed
  Compare -73 and -84
  Swap -73 and -84
  List after swap: [-83, -97, -80, -84, -73, -66, -26, -7, 3, 85]

Pass 7:
  Compare -83 and -97
  Swap -83 and -97
  List after swap: [-97, -83, -80, -84, -73, -66, -26, -7, 3, 85]
  Compare -83 and -80
  No swap needed
  Compare -80 and -84
  Swap -80 and -84
  List after swap: [-97, -83, -84, -80, -73, -66, -26, -7, 3, 85]

Pass 8:
  Compare -97 and -83
  No swap needed
  Compare -83 and -84
  Swap -83 and -84
  List after swap: [-97, -84, -83, -80, -73, -66, -26, -7, 3, 85]

Pass 9:
  Compare -97 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -84, -83, -80, -73, -66, -26, -7, 3, 85]
</think>

<response>-97, -84, -83, -80, -73, -66, -26, -7, 3, 85</response>


input: Using the bubble sort method, sort -27, 0, -64, -43, -12, 80, 1, -78 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-27, 0, -64, -43, -12, 80, 1, -78]

Pass 1:
  Compare -27 and 0
  No swap needed
  Compare 0 and -64
  Swap 0 and -64
  List after swap: [-27, -64, 0, -43, -12, 80, 1, -78]
  Compare 0 and -43
  Swap 0 and -43
  List after swap: [-27, -64, -43, 0, -12, 80, 1, -78]
  Compare 0 and -12
  Swap 0 and -12
  List after swap: [-27, -64, -43, -12, 0, 80, 1, -78]
  Compare 0 and 80
  No swap needed
  Compare 80 and 1
  Swap 80 and 1
  List after swap: [-27, -64, -43, -12, 0, 1, 80, -78]
  Compare 80 and -78
  Swap 80 and -78
  List after swap: [-27, -64, -43, -12, 0, 1, -78, 80]

Pass 2:
  Compare -27 and -64
  Swap -27 and -64
  List after swap: [-64, -27, -43, -12, 0, 1, -78, 80]
  Compare -27 and -43
  Swap -27 and -43
  List after swap: [-64, -43, -27, -12, 0, 1, -78, 80]
  Compare -27 and -12
  No swap needed
  Compare -12 and 0
  No swap needed
  Compare 0 and 1
  No swap needed
  Compare 1 and -78
  Swap 1 and -78
  List after swap: [-64, -43, -27, -12, 0, -78, 1, 80]

Pass 3:
  Compare -64 and -43
  No swap needed
  Compare -43 and -27
  No swap needed
  Compare -27 and -12
  No swap needed
  Compare -12 and 0
  No swap needed
  Compare 0 and -78
  Swap 0 and -78
  List after swap: [-64, -43, -27, -12, -78, 0, 1, 80]

Pass 4:
  Compare -64 and -43
  No swap needed
  Compare -43 and -27
  No swap needed
  Compare -27 and -12
  No swap needed
  Compare -12 and -78
  Swap -12 and -78
  List after swap: [-64, -43, -27, -78, -12, 0, 1, 80]

Pass 5:
  Compare -64 and -43
  No swap needed
  Compare -43 and -27
  No swap needed
  Compare -27 and -78
  Swap -27 and -78
  List after swap: [-64, -43, -78, -27, -12, 0, 1, 80]

Pass 6:
  Compare -64 and -43
  No swap needed
  Compare -43 and -78
  Swap -43 and -78
  List after swap: [-64, -78, -43, -27, -12, 0, 1, 80]

Pass 7:
  Compare -64 and -78
  Swap -64 and -78
  List after swap: [-78, -64, -43, -27, -12, 0, 1, 80]

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

Final sorted list: [-78, -64, -43, -27, -12, 0, 1, 80]
</think>

<response>-78, -64, -43, -27, -12, 0, 1, 80</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -78, 43, 87.

output:
<think>
Initial list: [-78, 43, 87]

Pass 1:
  Compare -78 and 43
  No swap needed
  Compare 43 and 87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 43, 87]
</think>

<response>-78, 43, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -42, -34, -82, -75, 66, -85, -93, -86.

output:
<think>
Initial list: [-42, -34, -82, -75, 66, -85, -93, -86]

Pass 1:
  Compare -42 and -34
  No swap needed
  Compare -34 and -82
  Swap -34 and -82
  List after swap: [-42, -82, -34, -75, 66, -85, -93, -86]
  Compare -34 and -75
  Swap -34 and -75
  List after swap: [-42, -82, -75, -34, 66, -85, -93, -86]
  Compare -34 and 66
  No swap needed
  Compare 66 and -85
  Swap 66 and -85
  List after swap: [-42, -82, -75, -34, -85, 66, -93, -86]
  Compare 66 and -93
  Swap 66 and -93
  List after swap: [-42, -82, -75, -34, -85, -93, 66, -86]
  Compare 66 and -86
  Swap 66 and -86
  List after swap: [-42, -82, -75, -34, -85, -93, -86, 66]

Pass 2:
  Compare -42 and -82
  Swap -42 and -82
  List after swap: [-82, -42, -75, -34, -85, -93, -86, 66]
  Compare -42 and -75
  Swap -42 and -75
  List after swap: [-82, -75, -42, -34, -85, -93, -86, 66]
  Compare -42 and -34
  No swap needed
  Compare -34 and -85
  Swap -34 and -85
  List after swap: [-82, -75, -42, -85, -34, -93, -86, 66]
  Compare -34 and -93
  Swap -34 and -93
  List after swap: [-82, -75, -42, -85, -93, -34, -86, 66]
  Compare -34 and -86
  Swap -34 and -86
  List after swap: [-82, -75, -42, -85, -93, -86, -34, 66]

Pass 3:
  Compare -82 and -75
  No swap needed
  Compare -75 and -42
  No swap needed
  Compare -42 and -85
  Swap -42 and -85
  List after swap: [-82, -75, -85, -42, -93, -86, -34, 66]
  Compare -42 and -93
  Swap -42 and -93
  List after swap: [-82, -75, -85, -93, -42, -86, -34, 66]
  Compare -42 and -86
  Swap -42 and -86
  List after swap: [-82, -75, -85, -93, -86, -42, -34, 66]

Pass 4:
  Compare -82 and -75
  No swap needed
  Compare -75 and -85
  Swap -75 and -85
  List after swap: [-82, -85, -75, -93, -86, -42, -34, 66]
  Compare -75 and -93
  Swap -75 and -93
  List after swap: [-82, -85, -93, -75, -86, -42, -34, 66]
  Compare -75 and -86
  Swap -75 and -86
  List after swap: [-82, -85, -93, -86, -75, -42, -34, 66]

Pass 5:
  Compare -82 and -85
  Swap -82 and -85
  List after swap: [-85, -82, -93, -86, -75, -42, -34, 66]
  Compare -82 and -93
  Swap -82 and -93
  List after swap: [-85, -93, -82, -86, -75, -42, -34, 66]
  Compare -82 and -86
  Swap -82 and -86
  List after swap: [-85, -93, -86, -82, -75, -42, -34, 66]

Pass 6:
  Compare -85 and -93
  Swap -85 and -93
  List after swap: [-93, -85, -86, -82, -75, -42, -34, 66]
  Compare -85 and -86
  Swap -85 and -86
  List after swap: [-93, -86, -85, -82, -75, -42, -34, 66]

Pass 7:
  Compare -93 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -86, -85, -82, -75, -42, -34, 66]
</think>

<response>-93, -86, -85, -82, -75, -42, -34, 66</response>


input: Use the bubble sort technique to reorder -23, 48, -38, -29, 90, -63 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-23, 48, -38, -29, 90, -63]

Pass 1:
  Compare -23 and 48
  No swap needed
  Compare 48 and -38
  Swap 48 and -38
  List after swap: [-23, -38, 48, -29, 90, -63]
  Compare 48 and -29
  Swap 48 and -29
  List after swap: [-23, -38, -29, 48, 90, -63]
  Compare 48 and 90
  No swap needed
  Compare 90 and -63
  Swap 90 and -63
  List after swap: [-23, -38, -29, 48, -63, 90]

Pass 2:
  Compare -23 and -38
  Swap -23 and -38
  List after swap: [-38, -23, -29, 48, -63, 90]
  Compare -23 and -29
  Swap -23 and -29
  List after swap: [-38, -29, -23, 48, -63, 90]
  Compare -23 and 48
  No swap needed
  Compare 48 and -63
  Swap 48 and -63
  List after swap: [-38, -29, -23, -63, 48, 90]

Pass 3:
  Compare -38 and -29
  No swap needed
  Compare -29 and -23
  No swap needed
  Compare -23 and -63
  Swap -23 and -63
  List after swap: [-38, -29, -63, -23, 48, 90]

Pass 4:
  Compare -38 and -29
  No swap needed
  Compare -29 and -63
  Swap -29 and -63
  List after swap: [-38, -63, -29, -23, 48, 90]

Pass 5:
  Compare -38 and -63
  Swap -38 and -63
  List after swap: [-63, -38, -29, -23, 48, 90]

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

Final sorted list: [-63, -38, -29, -23, 48, 90]
</think>

<response>-63, -38, -29, -23, 48, 90</response>


input: Carry out the bubble sort algorithm on -87, 75, -1, 45, -33, -71, -65, 33, -82 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-87, 75, -1, 45, -33, -71, -65, 33, -82]

Pass 1:
  Compare -87 and 75
  No swap needed
  Compare 75 and -1
  Swap 75 and -1
  List after swap: [-87, -1, 75, 45, -33, -71, -65, 33, -82]
  Compare 75 and 45
  Swap 75 and 45
  List after swap: [-87, -1, 45, 75, -33, -71, -65, 33, -82]
  Compare 75 and -33
  Swap 75 and -33
  List after swap: [-87, -1, 45, -33, 75, -71, -65, 33, -82]
  Compare 75 and -71
  Swap 75 and -71
  List after swap: [-87, -1, 45, -33, -71, 75, -65, 33, -82]
  Compare 75 and -65
  Swap 75 and -65
  List after swap: [-87, -1, 45, -33, -71, -65, 75, 33, -82]
  Compare 75 and 33
  Swap 75 and 33
  List after swap: [-87, -1, 45, -33, -71, -65, 33, 75, -82]
  Compare 75 and -82
  Swap 75 and -82
  List after swap: [-87, -1, 45, -33, -71, -65, 33, -82, 75]

Pass 2:
  Compare -87 and -1
  No swap needed
  Compare -1 and 45
  No swap needed
  Compare 45 and -33
  Swap 45 and -33
  List after swap: [-87, -1, -33, 45, -71, -65, 33, -82, 75]
  Compare 45 and -71
  Swap 45 and -71
  List after swap: [-87, -1, -33, -71, 45, -65, 33, -82, 75]
  Compare 45 and -65
  Swap 45 and -65
  List after swap: [-87, -1, -33, -71, -65, 45, 33, -82, 75]
  Compare 45 and 33
  Swap 45 and 33
  List after swap: [-87, -1, -33, -71, -65, 33, 45, -82, 75]
  Compare 45 and -82
  Swap 45 and -82
  List after swap: [-87, -1, -33, -71, -65, 33, -82, 45, 75]

Pass 3:
  Compare -87 and -1
  No swap needed
  Compare -1 and -33
  Swap -1 and -33
  List after swap: [-87, -33, -1, -71, -65, 33, -82, 45, 75]
  Compare -1 and -71
  Swap -1 and -71
  List after swap: [-87, -33, -71, -1, -65, 33, -82, 45, 75]
  Compare -1 and -65
  Swap -1 and -65
  List after swap: [-87, -33, -71, -65, -1, 33, -82, 45, 75]
  Compare -1 and 33
  No swap needed
  Compare 33 and -82
  Swap 33 and -82
  List after swap: [-87, -33, -71, -65, -1, -82, 33, 45, 75]

Pass 4:
  Compare -87 and -33
  No swap needed
  Compare -33 and -71
  Swap -33 and -71
  List after swap: [-87, -71, -33, -65, -1, -82, 33, 45, 75]
  Compare -33 and -65
  Swap -33 and -65
  List after swap: [-87, -71, -65, -33, -1, -82, 33, 45, 75]
  Compare -33 and -1
  No swap needed
  Compare -1 and -82
  Swap -1 and -82
  List after swap: [-87, -71, -65, -33, -82, -1, 33, 45, 75]

Pass 5:
  Compare -87 and -71
  No swap needed
  Compare -71 and -65
  No swap needed
  Compare -65 and -33
  No swap needed
  Compare -33 and -82
  Swap -33 and -82
  List after swap: [-87, -71, -65, -82, -33, -1, 33, 45, 75]

Pass 6:
  Compare -87 and -71
  No swap needed
  Compare -71 and -65
  No swap needed
  Compare -65 and -82
  Swap -65 and -82
  List after swap: [-87, -71, -82, -65, -33, -1, 33, 45, 75]

Pass 7:
  Compare -87 and -71
  No swap needed
  Compare -71 and -82
  Swap -71 and -82
  List after swap: [-87, -82, -71, -65, -33, -1, 33, 45, 75]

Pass 8:
  Compare -87 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -82, -71, -65, -33, -1, 33, 45, 75]
</think>

<response>-87, -82, -71, -65, -33, -1, 33, 45, 75</response>


input: Using the bubble sort method, sort 77, -65, -47, -14, -48, 73 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [77, -65, -47, -14, -48, 73]

Pass 1:
  Compare 77 and -65
  Swap 77 and -65
  List after swap: [-65, 77, -47, -14, -48, 73]
  Compare 77 and -47
  Swap 77 and -47
  List after swap: [-65, -47, 77, -14, -48, 73]
  Compare 77 and -14
  Swap 77 and -14
  List after swap: [-65, -47, -14, 77, -48, 73]
  Compare 77 and -48
  Swap 77 and -48
  List after swap: [-65, -47, -14, -48, 77, 73]
  Compare 77 and 73
  Swap 77 and 73
  List after swap: [-65, -47, -14, -48, 73, 77]

Pass 2:
  Compare -65 and -47
  No swap needed
  Compare -47 and -14
  No swap needed
  Compare -14 and -48
  Swap -14 and -48
  List after swap: [-65, -47, -48, -14, 73, 77]
  Compare -14 and 73
  No swap needed

Pass 3:
  Compare -65 and -47
  No swap needed
  Compare -47 and -48
  Swap -47 and -48
  List after swap: [-65, -48, -47, -14, 73, 77]
  Compare -47 and -14
  No swap needed

Pass 4:
  Compare -65 and -48
  No swap needed
  Compare -48 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -48, -47, -14, 73, 77]
</think>

<response>-65, -48, -47, -14, 73, 77</response>


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

output:
<think>
Initial list: [65, -22]

Pass 1:
  Compare 65 and -22
  Swap 65 and -22
  List after swap: [-22, 65]

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

Final sorted list: [-22, 65]
</think>

<response>-22, 65</response>


input: Implement bubble sort on 43, 42, -79, -27, -97, 91, 77, 65, 26 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [43, 42, -79, -27, -97, 91, 77, 65, 26]

Pass 1:
  Compare 43 and 42
  Swap 43 and 42
  List after swap: [42, 43, -79, -27, -97, 91, 77, 65, 26]
  Compare 43 and -79
  Swap 43 and -79
  List after swap: [42, -79, 43, -27, -97, 91, 77, 65, 26]
  Compare 43 and -27
  Swap 43 and -27
  List after swap: [42, -79, -27, 43, -97, 91, 77, 65, 26]
  Compare 43 and -97
  Swap 43 and -97
  List after swap: [42, -79, -27, -97, 43, 91, 77, 65, 26]
  Compare 43 and 91
  No swap needed
  Compare 91 and 77
  Swap 91 and 77
  List after swap: [42, -79, -27, -97, 43, 77, 91, 65, 26]
  Compare 91 and 65
  Swap 91 and 65
  List after swap: [42, -79, -27, -97, 43, 77, 65, 91, 26]
  Compare 91 and 26
  Swap 91 and 26
  List after swap: [42, -79, -27, -97, 43, 77, 65, 26, 91]

Pass 2:
  Compare 42 and -79
  Swap 42 and -79
  List after swap: [-79, 42, -27, -97, 43, 77, 65, 26, 91]
  Compare 42 and -27
  Swap 42 and -27
  List after swap: [-79, -27, 42, -97, 43, 77, 65, 26, 91]
  Compare 42 and -97
  Swap 42 and -97
  List after swap: [-79, -27, -97, 42, 43, 77, 65, 26, 91]
  Compare 42 and 43
  No swap needed
  Compare 43 and 77
  No swap needed
  Compare 77 and 65
  Swap 77 and 65
  List after swap: [-79, -27, -97, 42, 43, 65, 77, 26, 91]
  Compare 77 and 26
  Swap 77 and 26
  List after swap: [-79, -27, -97, 42, 43, 65, 26, 77, 91]

Pass 3:
  Compare -79 and -27
  No swap needed
  Compare -27 and -97
  Swap -27 and -97
  List after swap: [-79, -97, -27, 42, 43, 65, 26, 77, 91]
  Compare -27 and 42
  No swap needed
  Compare 42 and 43
  No swap needed
  Compare 43 and 65
  No swap needed
  Compare 65 and 26
  Swap 65 and 26
  List after swap: [-79, -97, -27, 42, 43, 26, 65, 77, 91]

Pass 4:
  Compare -79 and -97
  Swap -79 and -97
  List after swap: [-97, -79, -27, 42, 43, 26, 65, 77, 91]
  Compare -79 and -27
  No swap needed
  Compare -27 and 42
  No swap needed
  Compare 42 and 43
  No swap needed
  Compare 43 and 26
  Swap 43 and 26
  List after swap: [-97, -79, -27, 42, 26, 43, 65, 77, 91]

Pass 5:
  Compare -97 and -79
  No swap needed
  Compare -79 and -27
  No swap needed
  Compare -27 and 42
  No swap needed
  Compare 42 and 26
  Swap 42 and 26
  List after swap: [-97, -79, -27, 26, 42, 43, 65, 77, 91]

Pass 6:
  Compare -97 and -79
  No swap needed
  Compare -79 and -27
  No swap needed
  Compare -27 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -79, -27, 26, 42, 43, 65, 77, 91]
</think>

<response>-97, -79, -27, 26, 42, 43, 65, 77, 91</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -97, 47, 29, -4, 65, 55.

output:
<think>
Initial list: [-97, 47, 29, -4, 65, 55]

Pass 1:
  Compare -97 and 47
  No swap needed
  Compare 47 and 29
  Swap 47 and 29
  List after swap: [-97, 29, 47, -4, 65, 55]
  Compare 47 and -4
  Swap 47 and -4
  List after swap: [-97, 29, -4, 47, 65, 55]
  Compare 47 and 65
  No swap needed
  Compare 65 and 55
  Swap 65 and 55
  List after swap: [-97, 29, -4, 47, 55, 65]

Pass 2:
  Compare -97 and 29
  No swap needed
  Compare 29 and -4
  Swap 29 and -4
  List after swap: [-97, -4, 29, 47, 55, 65]
  Compare 29 and 47
  No swap needed
  Compare 47 and 55
  No swap needed

Pass 3:
  Compare -97 and -4
  No swap needed
  Compare -4 and 29
  No swap needed
  Compare 29 and 47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -4, 29, 47, 55, 65]
</think>

<response>-97, -4, 29, 47, 55, 65</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -7, -57, -47, 76, -88, 73, -52, -97, -77.

output:
<think>
Initial list: [-7, -57, -47, 76, -88, 73, -52, -97, -77]

Pass 1:
  Compare -7 and -57
  Swap -7 and -57
  List after swap: [-57, -7, -47, 76, -88, 73, -52, -97, -77]
  Compare -7 and -47
  Swap -7 and -47
  List after swap: [-57, -47, -7, 76, -88, 73, -52, -97, -77]
  Compare -7 and 76
  No swap needed
  Compare 76 and -88
  Swap 76 and -88
  List after swap: [-57, -47, -7, -88, 76, 73, -52, -97, -77]
  Compare 76 and 73
  Swap 76 and 73
  List after swap: [-57, -47, -7, -88, 73, 76, -52, -97, -77]
  Compare 76 and -52
  Swap 76 and -52
  List after swap: [-57, -47, -7, -88, 73, -52, 76, -97, -77]
  Compare 76 and -97
  Swap 76 and -97
  List after swap: [-57, -47, -7, -88, 73, -52, -97, 76, -77]
  Compare 76 and -77
  Swap 76 and -77
  List after swap: [-57, -47, -7, -88, 73, -52, -97, -77, 76]

Pass 2:
  Compare -57 and -47
  No swap needed
  Compare -47 and -7
  No swap needed
  Compare -7 and -88
  Swap -7 and -88
  List after swap: [-57, -47, -88, -7, 73, -52, -97, -77, 76]
  Compare -7 and 73
  No swap needed
  Compare 73 and -52
  Swap 73 and -52
  List after swap: [-57, -47, -88, -7, -52, 73, -97, -77, 76]
  Compare 73 and -97
  Swap 73 and -97
  List after swap: [-57, -47, -88, -7, -52, -97, 73, -77, 76]
  Compare 73 and -77
  Swap 73 and -77
  List after swap: [-57, -47, -88, -7, -52, -97, -77, 73, 76]

Pass 3:
  Compare -57 and -47
  No swap needed
  Compare -47 and -88
  Swap -47 and -88
  List after swap: [-57, -88, -47, -7, -52, -97, -77, 73, 76]
  Compare -47 and -7
  No swap needed
  Compare -7 and -52
  Swap -7 and -52
  List after swap: [-57, -88, -47, -52, -7, -97, -77, 73, 76]
  Compare -7 and -97
  Swap -7 and -97
  List after swap: [-57, -88, -47, -52, -97, -7, -77, 73, 76]
  Compare -7 and -77
  Swap -7 and -77
  List after swap: [-57, -88, -47, -52, -97, -77, -7, 73, 76]

Pass 4:
  Compare -57 and -88
  Swap -57 and -88
  List after swap: [-88, -57, -47, -52, -97, -77, -7, 73, 76]
  Compare -57 and -47
  No swap needed
  Compare -47 and -52
  Swap -47 and -52
  List after swap: [-88, -57, -52, -47, -97, -77, -7, 73, 76]
  Compare -47 and -97
  Swap -47 and -97
  List after swap: [-88, -57, -52, -97, -47, -77, -7, 73, 76]
  Compare -47 and -77
  Swap -47 and -77
  List after swap: [-88, -57, -52, -97, -77, -47, -7, 73, 76]

Pass 5:
  Compare -88 and -57
  No swap needed
  Compare -57 and -52
  No swap needed
  Compare -52 and -97
  Swap -52 and -97
  List after swap: [-88, -57, -97, -52, -77, -47, -7, 73, 76]
  Compare -52 and -77
  Swap -52 and -77
  List after swap: [-88, -57, -97, -77, -52, -47, -7, 73, 76]

Pass 6:
  Compare -88 and -57
  No swap needed
  Compare -57 and -97
  Swap -57 and -97
  List after swap: [-88, -97, -57, -77, -52, -47, -7, 73, 76]
  Compare -57 and -77
  Swap -57 and -77
  List after swap: [-88, -97, -77, -57, -52, -47, -7, 73, 76]

Pass 7:
  Compare -88 and -97
  Swap -88 and -97
  List after swap: [-97, -88, -77, -57, -52, -47, -7, 73, 76]
  Compare -88 and -77
  No swap needed

Pass 8:
  Compare -97 and -88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -88, -77, -57, -52, -47, -7, 73, 76]
</think>

<response>-97, -88, -77, -57, -52, -47, -7, 73, 76</response>


input: Using the bubble sort method, sort -28, 30, -40, 55, -49, -66, -55, -41, -72 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-28, 30, -40, 55, -49, -66, -55, -41, -72]

Pass 1:
  Compare -28 and 30
  No swap needed
  Compare 30 and -40
  Swap 30 and -40
  List after swap: [-28, -40, 30, 55, -49, -66, -55, -41, -72]
  Compare 30 and 55
  No swap needed
  Compare 55 and -49
  Swap 55 and -49
  List after swap: [-28, -40, 30, -49, 55, -66, -55, -41, -72]
  Compare 55 and -66
  Swap 55 and -66
  List after swap: [-28, -40, 30, -49, -66, 55, -55, -41, -72]
  Compare 55 and -55
  Swap 55 and -55
  List after swap: [-28, -40, 30, -49, -66, -55, 55, -41, -72]
  Compare 55 and -41
  Swap 55 and -41
  List after swap: [-28, -40, 30, -49, -66, -55, -41, 55, -72]
  Compare 55 and -72
  Swap 55 and -72
  List after swap: [-28, -40, 30, -49, -66, -55, -41, -72, 55]

Pass 2:
  Compare -28 and -40
  Swap -28 and -40
  List after swap: [-40, -28, 30, -49, -66, -55, -41, -72, 55]
  Compare -28 and 30
  No swap needed
  Compare 30 and -49
  Swap 30 and -49
  List after swap: [-40, -28, -49, 30, -66, -55, -41, -72, 55]
  Compare 30 and -66
  Swap 30 and -66
  List after swap: [-40, -28, -49, -66, 30, -55, -41, -72, 55]
  Compare 30 and -55
  Swap 30 and -55
  List after swap: [-40, -28, -49, -66, -55, 30, -41, -72, 55]
  Compare 30 and -41
  Swap 30 and -41
  List after swap: [-40, -28, -49, -66, -55, -41, 30, -72, 55]
  Compare 30 and -72
  Swap 30 and -72
  List after swap: [-40, -28, -49, -66, -55, -41, -72, 30, 55]

Pass 3:
  Compare -40 and -28
  No swap needed
  Compare -28 and -49
  Swap -28 and -49
  List after swap: [-40, -49, -28, -66, -55, -41, -72, 30, 55]
  Compare -28 and -66
  Swap -28 and -66
  List after swap: [-40, -49, -66, -28, -55, -41, -72, 30, 55]
  Compare -28 and -55
  Swap -28 and -55
  List after swap: [-40, -49, -66, -55, -28, -41, -72, 30, 55]
  Compare -28 and -41
  Swap -28 and -41
  List after swap: [-40, -49, -66, -55, -41, -28, -72, 30, 55]
  Compare -28 and -72
  Swap -28 and -72
  List after swap: [-40, -49, -66, -55, -41, -72, -28, 30, 55]

Pass 4:
  Compare -40 and -49
  Swap -40 and -49
  List after swap: [-49, -40, -66, -55, -41, -72, -28, 30, 55]
  Compare -40 and -66
  Swap -40 and -66
  List after swap: [-49, -66, -40, -55, -41, -72, -28, 30, 55]
  Compare -40 and -55
  Swap -40 and -55
  List after swap: [-49, -66, -55, -40, -41, -72, -28, 30, 55]
  Compare -40 and -41
  Swap -40 and -41
  List after swap: [-49, -66, -55, -41, -40, -72, -28, 30, 55]
  Compare -40 and -72
  Swap -40 and -72
  List after swap: [-49, -66, -55, -41, -72, -40, -28, 30, 55]

Pass 5:
  Compare -49 and -66
  Swap -49 and -66
  List after swap: [-66, -49, -55, -41, -72, -40, -28, 30, 55]
  Compare -49 and -55
  Swap -49 and -55
  List after swap: [-66, -55, -49, -41, -72, -40, -28, 30, 55]
  Compare -49 and -41
  No swap needed
  Compare -41 and -72
  Swap -41 and -72
  List after swap: [-66, -55, -49, -72, -41, -40, -28, 30, 55]

Pass 6:
  Compare -66 and -55
  No swap needed
  Compare -55 and -49
  No swap needed
  Compare -49 and -72
  Swap -49 and -72
  List after swap: [-66, -55, -72, -49, -41, -40, -28, 30, 55]

Pass 7:
  Compare -66 and -55
  No swap needed
  Compare -55 and -72
  Swap -55 and -72
  List after swap: [-66, -72, -55, -49, -41, -40, -28, 30, 55]

Pass 8:
  Compare -66 and -72
  Swap -66 and -72
  List after swap: [-72, -66, -55, -49, -41, -40, -28, 30, 55]

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

Final sorted list: [-72, -66, -55, -49, -41, -40, -28, 30, 55]
</think>

<response>-72, -66, -55, -49, -41, -40, -28, 30, 55</response>


input: Execute bubble sort to sort 89, 5, 6, 52 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [89, 5, 6, 52]

Pass 1:
  Compare 89 and 5
  Swap 89 and 5
  List after swap: [5, 89, 6, 52]
  Compare 89 and 6
  Swap 89 and 6
  List after swap: [5, 6, 89, 52]
  Compare 89 and 52
  Swap 89 and 52
  List after swap: [5, 6, 52, 89]

Pass 2:
  Compare 5 and 6
  No swap needed
  Compare 6 and 52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [5, 6, 52, 89]
</think>

<response>5, 6, 52, 89</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 30, -89, -53.

output:
<think>
Initial list: [30, -89, -53]

Pass 1:
  Compare 30 and -89
  Swap 30 and -89
  List after swap: [-89, 30, -53]
  Compare 30 and -53
  Swap 30 and -53
  List after swap: [-89, -53, 30]

Pass 2:
  Compare -89 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -53, 30]
</think>

<response>-89, -53, 30</response>


input: Sort these integers 43, 98, 5 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [43, 98, 5]

Pass 1:
  Compare 43 and 98
  No swap needed
  Compare 98 and 5
  Swap 98 and 5
  List after swap: [43, 5, 98]

Pass 2:
  Compare 43 and 5
  Swap 43 and 5
  List after swap: [5, 43, 98]

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

Final sorted list: [5, 43, 98]
</think>

<response>5, 43, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -45, 1, 35, 87, -6, -52, -74, 85.

output:
<think>
Initial list: [-45, 1, 35, 87, -6, -52, -74, 85]

Pass 1:
  Compare -45 and 1
  No swap needed
  Compare 1 and 35
  No swap needed
  Compare 35 and 87
  No swap needed
  Compare 87 and -6
  Swap 87 and -6
  List after swap: [-45, 1, 35, -6, 87, -52, -74, 85]
  Compare 87 and -52
  Swap 87 and -52
  List after swap: [-45, 1, 35, -6, -52, 87, -74, 85]
  Compare 87 and -74
  Swap 87 and -74
  List after swap: [-45, 1, 35, -6, -52, -74, 87, 85]
  Compare 87 and 85
  Swap 87 and 85
  List after swap: [-45, 1, 35, -6, -52, -74, 85, 87]

Pass 2:
  Compare -45 and 1
  No swap needed
  Compare 1 and 35
  No swap needed
  Compare 35 and -6
  Swap 35 and -6
  List after swap: [-45, 1, -6, 35, -52, -74, 85, 87]
  Compare 35 and -52
  Swap 35 and -52
  List after swap: [-45, 1, -6, -52, 35, -74, 85, 87]
  Compare 35 and -74
  Swap 35 and -74
  List after swap: [-45, 1, -6, -52, -74, 35, 85, 87]
  Compare 35 and 85
  No swap needed

Pass 3:
  Compare -45 and 1
  No swap needed
  Compare 1 and -6
  Swap 1 and -6
  List after swap: [-45, -6, 1, -52, -74, 35, 85, 87]
  Compare 1 and -52
  Swap 1 and -52
  List after swap: [-45, -6, -52, 1, -74, 35, 85, 87]
  Compare 1 and -74
  Swap 1 and -74
  List after swap: [-45, -6, -52, -74, 1, 35, 85, 87]
  Compare 1 and 35
  No swap needed

Pass 4:
  Compare -45 and -6
  No swap needed
  Compare -6 and -52
  Swap -6 and -52
  List after swap: [-45, -52, -6, -74, 1, 35, 85, 87]
  Compare -6 and -74
  Swap -6 and -74
  List after swap: [-45, -52, -74, -6, 1, 35, 85, 87]
  Compare -6 and 1
  No swap needed

Pass 5:
  Compare -45 and -52
  Swap -45 and -52
  List after swap: [-52, -45, -74, -6, 1, 35, 85, 87]
  Compare -45 and -74
  Swap -45 and -74
  List after swap: [-52, -74, -45, -6, 1, 35, 85, 87]
  Compare -45 and -6
  No swap needed

Pass 6:
  Compare -52 and -74
  Swap -52 and -74
  List after swap: [-74, -52, -45, -6, 1, 35, 85, 87]
  Compare -52 and -45
  No swap needed

Pass 7:
  Compare -74 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -52, -45, -6, 1, 35, 85, 87]
</think>

<response>-74, -52, -45, -6, 1, 35, 85, 87</response>


input: Sort these integers 13, -72, -14, -92, 46 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [13, -72, -14, -92, 46]

Pass 1:
  Compare 13 and -72
  Swap 13 and -72
  List after swap: [-72, 13, -14, -92, 46]
  Compare 13 and -14
  Swap 13 and -14
  List after swap: [-72, -14, 13, -92, 46]
  Compare 13 and -92
  Swap 13 and -92
  List after swap: [-72, -14, -92, 13, 46]
  Compare 13 and 46
  No swap needed

Pass 2:
  Compare -72 and -14
  No swap needed
  Compare -14 and -92
  Swap -14 and -92
  List after swap: [-72, -92, -14, 13, 46]
  Compare -14 and 13
  No swap needed

Pass 3:
  Compare -72 and -92
  Swap -72 and -92
  List after swap: [-92, -72, -14, 13, 46]
  Compare -72 and -14
  No swap needed

Pass 4:
  Compare -92 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -72, -14, 13, 46]
</think>

<response>-92, -72, -14, 13, 46</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 14, 31.

output:
<think>
Initial list: [14, 31]

Pass 1:
  Compare 14 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [14, 31]
</think>

<response>14, 31</response>


input: Use the bubble sort technique to reorder 43, -37, -57, -47, -32 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [43, -37, -57, -47, -32]

Pass 1:
  Compare 43 and -37
  Swap 43 and -37
  List after swap: [-37, 43, -57, -47, -32]
  Compare 43 and -57
  Swap 43 and -57
  List after swap: [-37, -57, 43, -47, -32]
  Compare 43 and -47
  Swap 43 and -47
  List after swap: [-37, -57, -47, 43, -32]
  Compare 43 and -32
  Swap 43 and -32
  List after swap: [-37, -57, -47, -32, 43]

Pass 2:
  Compare -37 and -57
  Swap -37 and -57
  List after swap: [-57, -37, -47, -32, 43]
  Compare -37 and -47
  Swap -37 and -47
  List after swap: [-57, -47, -37, -32, 43]
  Compare -37 and -32
  No swap needed

Pass 3:
  Compare -57 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -47, -37, -32, 43]
</think>

<response>-57, -47, -37, -32, 43</response>


input: Perform a bubble sort on the integers 68, -14, 61, 33, 64, 94, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [68, -14, 61, 33, 64, 94]

Pass 1:
  Compare 68 and -14
  Swap 68 and -14
  List after swap: [-14, 68, 61, 33, 64, 94]
  Compare 68 and 61
  Swap 68 and 61
  List after swap: [-14, 61, 68, 33, 64, 94]
  Compare 68 and 33
  Swap 68 and 33
  List after swap: [-14, 61, 33, 68, 64, 94]
  Compare 68 and 64
  Swap 68 and 64
  List after swap: [-14, 61, 33, 64, 68, 94]
  Compare 68 and 94
  No swap needed

Pass 2:
  Compare -14 and 61
  No swap needed
  Compare 61 and 33
  Swap 61 and 33
  List after swap: [-14, 33, 61, 64, 68, 94]
  Compare 61 and 64
  No swap needed
  Compare 64 and 68
  No swap needed

Pass 3:
  Compare -14 and 33
  No swap needed
  Compare 33 and 61
  No swap needed
  Compare 61 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-14, 33, 61, 64, 68, 94]
</think>

<response>-14, 33, 61, 64, 68, 94</response>


input: Carry out the bubble sort algorithm on 26, 22, -54, 8, 20, -79, 19 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [26, 22, -54, 8, 20, -79, 19]

Pass 1:
  Compare 26 and 22
  Swap 26 and 22
  List after swap: [22, 26, -54, 8, 20, -79, 19]
  Compare 26 and -54
  Swap 26 and -54
  List after swap: [22, -54, 26, 8, 20, -79, 19]
  Compare 26 and 8
  Swap 26 and 8
  List after swap: [22, -54, 8, 26, 20, -79, 19]
  Compare 26 and 20
  Swap 26 and 20
  List after swap: [22, -54, 8, 20, 26, -79, 19]
  Compare 26 and -79
  Swap 26 and -79
  List after swap: [22, -54, 8, 20, -79, 26, 19]
  Compare 26 and 19
  Swap 26 and 19
  List after swap: [22, -54, 8, 20, -79, 19, 26]

Pass 2:
  Compare 22 and -54
  Swap 22 and -54
  List after swap: [-54, 22, 8, 20, -79, 19, 26]
  Compare 22 and 8
  Swap 22 and 8
  List after swap: [-54, 8, 22, 20, -79, 19, 26]
  Compare 22 and 20
  Swap 22 and 20
  List after swap: [-54, 8, 20, 22, -79, 19, 26]
  Compare 22 and -79
  Swap 22 and -79
  List after swap: [-54, 8, 20, -79, 22, 19, 26]
  Compare 22 and 19
  Swap 22 and 19
  List after swap: [-54, 8, 20, -79, 19, 22, 26]

Pass 3:
  Compare -54 and 8
  No swap needed
  Compare 8 and 20
  No swap needed
  Compare 20 and -79
  Swap 20 and -79
  List after swap: [-54, 8, -79, 20, 19, 22, 26]
  Compare 20 and 19
  Swap 20 and 19
  List after swap: [-54, 8, -79, 19, 20, 22, 26]

Pass 4:
  Compare -54 and 8
  No swap needed
  Compare 8 and -79
  Swap 8 and -79
  List after swap: [-54, -79, 8, 19, 20, 22, 26]
  Compare 8 and 19
  No swap needed

Pass 5:
  Compare -54 and -79
  Swap -54 and -79
  List after swap: [-79, -54, 8, 19, 20, 22, 26]
  Compare -54 and 8
  No swap needed

Pass 6:
  Compare -79 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -54, 8, 19, 20, 22, 26]
</think>

<response>-79, -54, 8, 19, 20, 22, 26</response>


input: Using the bubble sort method, sort -56, 57, -95, 90, 13 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-56, 57, -95, 90, 13]

Pass 1:
  Compare -56 and 57
  No swap needed
  Compare 57 and -95
  Swap 57 and -95
  List after swap: [-56, -95, 57, 90, 13]
  Compare 57 and 90
  No swap needed
  Compare 90 and 13
  Swap 90 and 13
  List after swap: [-56, -95, 57, 13, 90]

Pass 2:
  Compare -56 and -95
  Swap -56 and -95
  List after swap: [-95, -56, 57, 13, 90]
  Compare -56 and 57
  No swap needed
  Compare 57 and 13
  Swap 57 and 13
  List after swap: [-95, -56, 13, 57, 90]

Pass 3:
  Compare -95 and -56
  No swap needed
  Compare -56 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -56, 13, 57, 90]
</think>

<response>-95, -56, 13, 57, 90</response>


input: Execute bubble sort to sort -92, 67, 72, 63, 74, 45 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-92, 67, 72, 63, 74, 45]

Pass 1:
  Compare -92 and 67
  No swap needed
  Compare 67 and 72
  No swap needed
  Compare 72 and 63
  Swap 72 and 63
  List after swap: [-92, 67, 63, 72, 74, 45]
  Compare 72 and 74
  No swap needed
  Compare 74 and 45
  Swap 74 and 45
  List after swap: [-92, 67, 63, 72, 45, 74]

Pass 2:
  Compare -92 and 67
  No swap needed
  Compare 67 and 63
  Swap 67 and 63
  List after swap: [-92, 63, 67, 72, 45, 74]
  Compare 67 and 72
  No swap needed
  Compare 72 and 45
  Swap 72 and 45
  List after swap: [-92, 63, 67, 45, 72, 74]

Pass 3:
  Compare -92 and 63
  No swap needed
  Compare 63 and 67
  No swap needed
  Compare 67 and 45
  Swap 67 and 45
  List after swap: [-92, 63, 45, 67, 72, 74]

Pass 4:
  Compare -92 and 63
  No swap needed
  Compare 63 and 45
  Swap 63 and 45
  List after swap: [-92, 45, 63, 67, 72, 74]

Pass 5:
  Compare -92 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 45, 63, 67, 72, 74]
</think>

<response>-92, 45, 63, 67, 72, 74</response>


input: Execute bubble sort to sort -28, -38, -37, 19, 38, 9, 18, -16 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-28, -38, -37, 19, 38, 9, 18, -16]

Pass 1:
  Compare -28 and -38
  Swap -28 and -38
  List after swap: [-38, -28, -37, 19, 38, 9, 18, -16]
  Compare -28 and -37
  Swap -28 and -37
  List after swap: [-38, -37, -28, 19, 38, 9, 18, -16]
  Compare -28 and 19
  No swap needed
  Compare 19 and 38
  No swap needed
  Compare 38 and 9
  Swap 38 and 9
  List after swap: [-38, -37, -28, 19, 9, 38, 18, -16]
  Compare 38 and 18
  Swap 38 and 18
  List after swap: [-38, -37, -28, 19, 9, 18, 38, -16]
  Compare 38 and -16
  Swap 38 and -16
  List after swap: [-38, -37, -28, 19, 9, 18, -16, 38]

Pass 2:
  Compare -38 and -37
  No swap needed
  Compare -37 and -28
  No swap needed
  Compare -28 and 19
  No swap needed
  Compare 19 and 9
  Swap 19 and 9
  List after swap: [-38, -37, -28, 9, 19, 18, -16, 38]
  Compare 19 and 18
  Swap 19 and 18
  List after swap: [-38, -37, -28, 9, 18, 19, -16, 38]
  Compare 19 and -16
  Swap 19 and -16
  List after swap: [-38, -37, -28, 9, 18, -16, 19, 38]

Pass 3:
  Compare -38 and -37
  No swap needed
  Compare -37 and -28
  No swap needed
  Compare -28 and 9
  No swap needed
  Compare 9 and 18
  No swap needed
  Compare 18 and -16
  Swap 18 and -16
  List after swap: [-38, -37, -28, 9, -16, 18, 19, 38]

Pass 4:
  Compare -38 and -37
  No swap needed
  Compare -37 and -28
  No swap needed
  Compare -28 and 9
  No swap needed
  Compare 9 and -16
  Swap 9 and -16
  List after swap: [-38, -37, -28, -16, 9, 18, 19, 38]

Pass 5:
  Compare -38 and -37
  No swap needed
  Compare -37 and -28
  No swap needed
  Compare -28 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, -37, -28, -16, 9, 18, 19, 38]
</think>

<response>-38, -37, -28, -16, 9, 18, 19, 38</response>


input: Using the bubble sort method, sort 53, 17, -47, -76 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [53, 17, -47, -76]

Pass 1:
  Compare 53 and 17
  Swap 53 and 17
  List after swap: [17, 53, -47, -76]
  Compare 53 and -47
  Swap 53 and -47
  List after swap: [17, -47, 53, -76]
  Compare 53 and -76
  Swap 53 and -76
  List after swap: [17, -47, -76, 53]

Pass 2:
  Compare 17 and -47
  Swap 17 and -47
  List after swap: [-47, 17, -76, 53]
  Compare 17 and -76
  Swap 17 and -76
  List after swap: [-47, -76, 17, 53]

Pass 3:
  Compare -47 and -76
  Swap -47 and -76
  List after swap: [-76, -47, 17, 53]

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

Final sorted list: [-76, -47, 17, 53]
</think>

<response>-76, -47, 17, 53</response>


input: Execute bubble sort to sort 55, 75, -19 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [55, 75, -19]

Pass 1:
  Compare 55 and 75
  No swap needed
  Compare 75 and -19
  Swap 75 and -19
  List after swap: [55, -19, 75]

Pass 2:
  Compare 55 and -19
  Swap 55 and -19
  List after swap: [-19, 55, 75]

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

Final sorted list: [-19, 55, 75]
</think>

<response>-19, 55, 75</response>


input: Perform a bubble sort on the integers 42, 43, 63, 30, 77, -20, -10, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [42, 43, 63, 30, 77, -20, -10]

Pass 1:
  Compare 42 and 43
  No swap needed
  Compare 43 and 63
  No swap needed
  Compare 63 and 30
  Swap 63 and 30
  List after swap: [42, 43, 30, 63, 77, -20, -10]
  Compare 63 and 77
  No swap needed
  Compare 77 and -20
  Swap 77 and -20
  List after swap: [42, 43, 30, 63, -20, 77, -10]
  Compare 77 and -10
  Swap 77 and -10
  List after swap: [42, 43, 30, 63, -20, -10, 77]

Pass 2:
  Compare 42 and 43
  No swap needed
  Compare 43 and 30
  Swap 43 and 30
  List after swap: [42, 30, 43, 63, -20, -10, 77]
  Compare 43 and 63
  No swap needed
  Compare 63 and -20
  Swap 63 and -20
  List after swap: [42, 30, 43, -20, 63, -10, 77]
  Compare 63 and -10
  Swap 63 and -10
  List after swap: [42, 30, 43, -20, -10, 63, 77]

Pass 3:
  Compare 42 and 30
  Swap 42 and 30
  List after swap: [30, 42, 43, -20, -10, 63, 77]
  Compare 42 and 43
  No swap needed
  Compare 43 and -20
  Swap 43 and -20
  List after swap: [30, 42, -20, 43, -10, 63, 77]
  Compare 43 and -10
  Swap 43 and -10
  List after swap: [30, 42, -20, -10, 43, 63, 77]

Pass 4:
  Compare 30 and 42
  No swap needed
  Compare 42 and -20
  Swap 42 and -20
  List after swap: [30, -20, 42, -10, 43, 63, 77]
  Compare 42 and -10
  Swap 42 and -10
  List after swap: [30, -20, -10, 42, 43, 63, 77]

Pass 5:
  Compare 30 and -20
  Swap 30 and -20
  List after swap: [-20, 30, -10, 42, 43, 63, 77]
  Compare 30 and -10
  Swap 30 and -10
  List after swap: [-20, -10, 30, 42, 43, 63, 77]

Pass 6:
  Compare -20 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, -10, 30, 42, 43, 63, 77]
</think>

<response>-20, -10, 30, 42, 43, 63, 77</response>


input: Perform a bubble sort on the integers -68, -100, 95, -11, -51, -15, 43, 7, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-68, -100, 95, -11, -51, -15, 43, 7]

Pass 1:
  Compare -68 and -100
  Swap -68 and -100
  List after swap: [-100, -68, 95, -11, -51, -15, 43, 7]
  Compare -68 and 95
  No swap needed
  Compare 95 and -11
  Swap 95 and -11
  List after swap: [-100, -68, -11, 95, -51, -15, 43, 7]
  Compare 95 and -51
  Swap 95 and -51
  List after swap: [-100, -68, -11, -51, 95, -15, 43, 7]
  Compare 95 and -15
  Swap 95 and -15
  List after swap: [-100, -68, -11, -51, -15, 95, 43, 7]
  Compare 95 and 43
  Swap 95 and 43
  List after swap: [-100, -68, -11, -51, -15, 43, 95, 7]
  Compare 95 and 7
  Swap 95 and 7
  List after swap: [-100, -68, -11, -51, -15, 43, 7, 95]

Pass 2:
  Compare -100 and -68
  No swap needed
  Compare -68 and -11
  No swap needed
  Compare -11 and -51
  Swap -11 and -51
  List after swap: [-100, -68, -51, -11, -15, 43, 7, 95]
  Compare -11 and -15
  Swap -11 and -15
  List after swap: [-100, -68, -51, -15, -11, 43, 7, 95]
  Compare -11 and 43
  No swap needed
  Compare 43 and 7
  Swap 43 and 7
  List after swap: [-100, -68, -51, -15, -11, 7, 43, 95]

Pass 3:
  Compare -100 and -68
  No swap needed
  Compare -68 and -51
  No swap needed
  Compare -51 and -15
  No swap needed
  Compare -15 and -11
  No swap needed
  Compare -11 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -68, -51, -15, -11, 7, 43, 95]
</think>

<response>-100, -68, -51, -15, -11, 7, 43, 95</response>


input: Perform a bubble sort on the integers 85, 83, 21, -36, 36, 47, 86, -77, 34, -86, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [85, 83, 21, -36, 36, 47, 86, -77, 34, -86]

Pass 1:
  Compare 85 and 83
  Swap 85 and 83
  List after swap: [83, 85, 21, -36, 36, 47, 86, -77, 34, -86]
  Compare 85 and 21
  Swap 85 and 21
  List after swap: [83, 21, 85, -36, 36, 47, 86, -77, 34, -86]
  Compare 85 and -36
  Swap 85 and -36
  List after swap: [83, 21, -36, 85, 36, 47, 86, -77, 34, -86]
  Compare 85 and 36
  Swap 85 and 36
  List after swap: [83, 21, -36, 36, 85, 47, 86, -77, 34, -86]
  Compare 85 and 47
  Swap 85 and 47
  List after swap: [83, 21, -36, 36, 47, 85, 86, -77, 34, -86]
  Compare 85 and 86
  No swap needed
  Compare 86 and -77
  Swap 86 and -77
  List after swap: [83, 21, -36, 36, 47, 85, -77, 86, 34, -86]
  Compare 86 and 34
  Swap 86 and 34
  List after swap: [83, 21, -36, 36, 47, 85, -77, 34, 86, -86]
  Compare 86 and -86
  Swap 86 and -86
  List after swap: [83, 21, -36, 36, 47, 85, -77, 34, -86, 86]

Pass 2:
  Compare 83 and 21
  Swap 83 and 21
  List after swap: [21, 83, -36, 36, 47, 85, -77, 34, -86, 86]
  Compare 83 and -36
  Swap 83 and -36
  List after swap: [21, -36, 83, 36, 47, 85, -77, 34, -86, 86]
  Compare 83 and 36
  Swap 83 and 36
  List after swap: [21, -36, 36, 83, 47, 85, -77, 34, -86, 86]
  Compare 83 and 47
  Swap 83 and 47
  List after swap: [21, -36, 36, 47, 83, 85, -77, 34, -86, 86]
  Compare 83 and 85
  No swap needed
  Compare 85 and -77
  Swap 85 and -77
  List after swap: [21, -36, 36, 47, 83, -77, 85, 34, -86, 86]
  Compare 85 and 34
  Swap 85 and 34
  List after swap: [21, -36, 36, 47, 83, -77, 34, 85, -86, 86]
  Compare 85 and -86
  Swap 85 and -86
  List after swap: [21, -36, 36, 47, 83, -77, 34, -86, 85, 86]

Pass 3:
  Compare 21 and -36
  Swap 21 and -36
  List after swap: [-36, 21, 36, 47, 83, -77, 34, -86, 85, 86]
  Compare 21 and 36
  No swap needed
  Compare 36 and 47
  No swap needed
  Compare 47 and 83
  No swap needed
  Compare 83 and -77
  Swap 83 and -77
  List after swap: [-36, 21, 36, 47, -77, 83, 34, -86, 85, 86]
  Compare 83 and 34
  Swap 83 and 34
  List after swap: [-36, 21, 36, 47, -77, 34, 83, -86, 85, 86]
  Compare 83 and -86
  Swap 83 and -86
  List after swap: [-36, 21, 36, 47, -77, 34, -86, 83, 85, 86]

Pass 4:
  Compare -36 and 21
  No swap needed
  Compare 21 and 36
  No swap needed
  Compare 36 and 47
  No swap needed
  Compare 47 and -77
  Swap 47 and -77
  List after swap: [-36, 21, 36, -77, 47, 34, -86, 83, 85, 86]
  Compare 47 and 34
  Swap 47 and 34
  List after swap: [-36, 21, 36, -77, 34, 47, -86, 83, 85, 86]
  Compare 47 and -86
  Swap 47 and -86
  List after swap: [-36, 21, 36, -77, 34, -86, 47, 83, 85, 86]

Pass 5:
  Compare -36 and 21
  No swap needed
  Compare 21 and 36
  No swap needed
  Compare 36 and -77
  Swap 36 and -77
  List after swap: [-36, 21, -77, 36, 34, -86, 47, 83, 85, 86]
  Compare 36 and 34
  Swap 36 and 34
  List after swap: [-36, 21, -77, 34, 36, -86, 47, 83, 85, 86]
  Compare 36 and -86
  Swap 36 and -86
  List after swap: [-36, 21, -77, 34, -86, 36, 47, 83, 85, 86]

Pass 6:
  Compare -36 and 21
  No swap needed
  Compare 21 and -77
  Swap 21 and -77
  List after swap: [-36, -77, 21, 34, -86, 36, 47, 83, 85, 86]
  Compare 21 and 34
  No swap needed
  Compare 34 and -86
  Swap 34 and -86
  List after swap: [-36, -77, 21, -86, 34, 36, 47, 83, 85, 86]

Pass 7:
  Compare -36 and -77
  Swap -36 and -77
  List after swap: [-77, -36, 21, -86, 34, 36, 47, 83, 85, 86]
  Compare -36 and 21
  No swap needed
  Compare 21 and -86
  Swap 21 and -86
  List after swap: [-77, -36, -86, 21, 34, 36, 47, 83, 85, 86]

Pass 8:
  Compare -77 and -36
  No swap needed
  Compare -36 and -86
  Swap -36 and -86
  List after swap: [-77, -86, -36, 21, 34, 36, 47, 83, 85, 86]

Pass 9:
  Compare -77 and -86
  Swap -77 and -86
  List after swap: [-86, -77, -36, 21, 34, 36, 47, 83, 85, 86]

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

Final sorted list: [-86, -77, -36, 21, 34, 36, 47, 83, 85, 86]
</think>

<response>-86, -77, -36, 21, 34, 36, 47, 83, 85, 86</response>


input: Sort these integers -72, 9, -10, 79 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-72, 9, -10, 79]

Pass 1:
  Compare -72 and 9
  No swap needed
  Compare 9 and -10
  Swap 9 and -10
  List after swap: [-72, -10, 9, 79]
  Compare 9 and 79
  No swap needed

Pass 2:
  Compare -72 and -10
  No swap needed
  Compare -10 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -10, 9, 79]
</think>

<response>-72, -10, 9, 79</response>


input: Arrange the numbers -38, 57, -79, -31 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-38, 57, -79, -31]

Pass 1:
  Compare -38 and 57
  No swap needed
  Compare 57 and -79
  Swap 57 and -79
  List after swap: [-38, -79, 57, -31]
  Compare 57 and -31
  Swap 57 and -31
  List after swap: [-38, -79, -31, 57]

Pass 2:
  Compare -38 and -79
  Swap -38 and -79
  List after swap: [-79, -38, -31, 57]
  Compare -38 and -31
  No swap needed

Pass 3:
  Compare -79 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -38, -31, 57]
</think>

<response>-79, -38, -31, 57</response>


input: Carry out the bubble sort algorithm on -3, 2, -82, 30, 95, -62, -78, 78 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-3, 2, -82, 30, 95, -62, -78, 78]

Pass 1:
  Compare -3 and 2
  No swap needed
  Compare 2 and -82
  Swap 2 and -82
  List after swap: [-3, -82, 2, 30, 95, -62, -78, 78]
  Compare 2 and 30
  No swap needed
  Compare 30 and 95
  No swap needed
  Compare 95 and -62
  Swap 95 and -62
  List after swap: [-3, -82, 2, 30, -62, 95, -78, 78]
  Compare 95 and -78
  Swap 95 and -78
  List after swap: [-3, -82, 2, 30, -62, -78, 95, 78]
  Compare 95 and 78
  Swap 95 and 78
  List after swap: [-3, -82, 2, 30, -62, -78, 78, 95]

Pass 2:
  Compare -3 and -82
  Swap -3 and -82
  List after swap: [-82, -3, 2, 30, -62, -78, 78, 95]
  Compare -3 and 2
  No swap needed
  Compare 2 and 30
  No swap needed
  Compare 30 and -62
  Swap 30 and -62
  List after swap: [-82, -3, 2, -62, 30, -78, 78, 95]
  Compare 30 and -78
  Swap 30 and -78
  List after swap: [-82, -3, 2, -62, -78, 30, 78, 95]
  Compare 30 and 78
  No swap needed

Pass 3:
  Compare -82 and -3
  No swap needed
  Compare -3 and 2
  No swap needed
  Compare 2 and -62
  Swap 2 and -62
  List after swap: [-82, -3, -62, 2, -78, 30, 78, 95]
  Compare 2 and -78
  Swap 2 and -78
  List after swap: [-82, -3, -62, -78, 2, 30, 78, 95]
  Compare 2 and 30
  No swap needed

Pass 4:
  Compare -82 and -3
  No swap needed
  Compare -3 and -62
  Swap -3 and -62
  List after swap: [-82, -62, -3, -78, 2, 30, 78, 95]
  Compare -3 and -78
  Swap -3 and -78
  List after swap: [-82, -62, -78, -3, 2, 30, 78, 95]
  Compare -3 and 2
  No swap needed

Pass 5:
  Compare -82 and -62
  No swap needed
  Compare -62 and -78
  Swap -62 and -78
  List after swap: [-82, -78, -62, -3, 2, 30, 78, 95]
  Compare -62 and -3
  No swap needed

Pass 6:
  Compare -82 and -78
  No swap needed
  Compare -78 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -78, -62, -3, 2, 30, 78, 95]
</think>

<response>-82, -78, -62, -3, 2, 30, 78, 95</response>


input: Using the bubble sort method, sort -99, 27, 76, 34, -32, 78, -48, 45, 58 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-99, 27, 76, 34, -32, 78, -48, 45, 58]

Pass 1:
  Compare -99 and 27
  No swap needed
  Compare 27 and 76
  No swap needed
  Compare 76 and 34
  Swap 76 and 34
  List after swap: [-99, 27, 34, 76, -32, 78, -48, 45, 58]
  Compare 76 and -32
  Swap 76 and -32
  List after swap: [-99, 27, 34, -32, 76, 78, -48, 45, 58]
  Compare 76 and 78
  No swap needed
  Compare 78 and -48
  Swap 78 and -48
  List after swap: [-99, 27, 34, -32, 76, -48, 78, 45, 58]
  Compare 78 and 45
  Swap 78 and 45
  List after swap: [-99, 27, 34, -32, 76, -48, 45, 78, 58]
  Compare 78 and 58
  Swap 78 and 58
  List after swap: [-99, 27, 34, -32, 76, -48, 45, 58, 78]

Pass 2:
  Compare -99 and 27
  No swap needed
  Compare 27 and 34
  No swap needed
  Compare 34 and -32
  Swap 34 and -32
  List after swap: [-99, 27, -32, 34, 76, -48, 45, 58, 78]
  Compare 34 and 76
  No swap needed
  Compare 76 and -48
  Swap 76 and -48
  List after swap: [-99, 27, -32, 34, -48, 76, 45, 58, 78]
  Compare 76 and 45
  Swap 76 and 45
  List after swap: [-99, 27, -32, 34, -48, 45, 76, 58, 78]
  Compare 76 and 58
  Swap 76 and 58
  List after swap: [-99, 27, -32, 34, -48, 45, 58, 76, 78]

Pass 3:
  Compare -99 and 27
  No swap needed
  Compare 27 and -32
  Swap 27 and -32
  List after swap: [-99, -32, 27, 34, -48, 45, 58, 76, 78]
  Compare 27 and 34
  No swap needed
  Compare 34 and -48
  Swap 34 and -48
  List after swap: [-99, -32, 27, -48, 34, 45, 58, 76, 78]
  Compare 34 and 45
  No swap needed
  Compare 45 and 58
  No swap needed

Pass 4:
  Compare -99 and -32
  No swap needed
  Compare -32 and 27
  No swap needed
  Compare 27 and -48
  Swap 27 and -48
  List after swap: [-99, -32, -48, 27, 34, 45, 58, 76, 78]
  Compare 27 and 34
  No swap needed
  Compare 34 and 45
  No swap needed

Pass 5:
  Compare -99 and -32
  No swap needed
  Compare -32 and -48
  Swap -32 and -48
  List after swap: [-99, -48, -32, 27, 34, 45, 58, 76, 78]
  Compare -32 and 27
  No swap needed
  Compare 27 and 34
  No swap needed

Pass 6:
  Compare -99 and -48
  No swap needed
  Compare -48 and -32
  No swap needed
  Compare -32 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -48, -32, 27, 34, 45, 58, 76, 78]
</think>

<response>-99, -48, -32, 27, 34, 45, 58, 76, 78</response>


input: Use the bubble sort technique to reorder -57, -45, 63, 96, -33, -92, -77, -56 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-57, -45, 63, 96, -33, -92, -77, -56]

Pass 1:
  Compare -57 and -45
  No swap needed
  Compare -45 and 63
  No swap needed
  Compare 63 and 96
  No swap needed
  Compare 96 and -33
  Swap 96 and -33
  List after swap: [-57, -45, 63, -33, 96, -92, -77, -56]
  Compare 96 and -92
  Swap 96 and -92
  List after swap: [-57, -45, 63, -33, -92, 96, -77, -56]
  Compare 96 and -77
  Swap 96 and -77
  List after swap: [-57, -45, 63, -33, -92, -77, 96, -56]
  Compare 96 and -56
  Swap 96 and -56
  List after swap: [-57, -45, 63, -33, -92, -77, -56, 96]

Pass 2:
  Compare -57 and -45
  No swap needed
  Compare -45 and 63
  No swap needed
  Compare 63 and -33
  Swap 63 and -33
  List after swap: [-57, -45, -33, 63, -92, -77, -56, 96]
  Compare 63 and -92
  Swap 63 and -92
  List after swap: [-57, -45, -33, -92, 63, -77, -56, 96]
  Compare 63 and -77
  Swap 63 and -77
  List after swap: [-57, -45, -33, -92, -77, 63, -56, 96]
  Compare 63 and -56
  Swap 63 and -56
  List after swap: [-57, -45, -33, -92, -77, -56, 63, 96]

Pass 3:
  Compare -57 and -45
  No swap needed
  Compare -45 and -33
  No swap needed
  Compare -33 and -92
  Swap -33 and -92
  List after swap: [-57, -45, -92, -33, -77, -56, 63, 96]
  Compare -33 and -77
  Swap -33 and -77
  List after swap: [-57, -45, -92, -77, -33, -56, 63, 96]
  Compare -33 and -56
  Swap -33 and -56
  List after swap: [-57, -45, -92, -77, -56, -33, 63, 96]

Pass 4:
  Compare -57 and -45
  No swap needed
  Compare -45 and -92
  Swap -45 and -92
  List after swap: [-57, -92, -45, -77, -56, -33, 63, 96]
  Compare -45 and -77
  Swap -45 and -77
  List after swap: [-57, -92, -77, -45, -56, -33, 63, 96]
  Compare -45 and -56
  Swap -45 and -56
  List after swap: [-57, -92, -77, -56, -45, -33, 63, 96]

Pass 5:
  Compare -57 and -92
  Swap -57 and -92
  List after swap: [-92, -57, -77, -56, -45, -33, 63, 96]
  Compare -57 and -77
  Swap -57 and -77
  List after swap: [-92, -77, -57, -56, -45, -33, 63, 96]
  Compare -57 and -56
  No swap needed

Pass 6:
  Compare -92 and -77
  No swap needed
  Compare -77 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -77, -57, -56, -45, -33, 63, 96]
</think>

<response>-92, -77, -57, -56, -45, -33, 63, 96</response>


input: Sort these integers -33, 22, 78, 9 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-33, 22, 78, 9]

Pass 1:
  Compare -33 and 22
  No swap needed
  Compare 22 and 78
  No swap needed
  Compare 78 and 9
  Swap 78 and 9
  List after swap: [-33, 22, 9, 78]

Pass 2:
  Compare -33 and 22
  No swap needed
  Compare 22 and 9
  Swap 22 and 9
  List after swap: [-33, 9, 22, 78]

Pass 3:
  Compare -33 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, 9, 22, 78]
</think>

<response>-33, 9, 22, 78</response>


input: Demonstrate how bubble sort orders the integers -8, 3, -7, 36, 81, 76, -83 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-8, 3, -7, 36, 81, 76, -83]

Pass 1:
  Compare -8 and 3
  No swap needed
  Compare 3 and -7
  Swap 3 and -7
  List after swap: [-8, -7, 3, 36, 81, 76, -83]
  Compare 3 and 36
  No swap needed
  Compare 36 and 81
  No swap needed
  Compare 81 and 76
  Swap 81 and 76
  List after swap: [-8, -7, 3, 36, 76, 81, -83]
  Compare 81 and -83
  Swap 81 and -83
  List after swap: [-8, -7, 3, 36, 76, -83, 81]

Pass 2:
  Compare -8 and -7
  No swap needed
  Compare -7 and 3
  No swap needed
  Compare 3 and 36
  No swap needed
  Compare 36 and 76
  No swap needed
  Compare 76 and -83
  Swap 76 and -83
  List after swap: [-8, -7, 3, 36, -83, 76, 81]

Pass 3:
  Compare -8 and -7
  No swap needed
  Compare -7 and 3
  No swap needed
  Compare 3 and 36
  No swap needed
  Compare 36 and -83
  Swap 36 and -83
  List after swap: [-8, -7, 3, -83, 36, 76, 81]

Pass 4:
  Compare -8 and -7
  No swap needed
  Compare -7 and 3
  No swap needed
  Compare 3 and -83
  Swap 3 and -83
  List after swap: [-8, -7, -83, 3, 36, 76, 81]

Pass 5:
  Compare -8 and -7
  No swap needed
  Compare -7 and -83
  Swap -7 and -83
  List after swap: [-8, -83, -7, 3, 36, 76, 81]

Pass 6:
  Compare -8 and -83
  Swap -8 and -83
  List after swap: [-83, -8, -7, 3, 36, 76, 81]

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

Final sorted list: [-83, -8, -7, 3, 36, 76, 81]
</think>

<response>-83, -8, -7, 3, 36, 76, 81</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -5, 56, -62, -55.

output:
<think>
Initial list: [-5, 56, -62, -55]

Pass 1:
  Compare -5 and 56
  No swap needed
  Compare 56 and -62
  Swap 56 and -62
  List after swap: [-5, -62, 56, -55]
  Compare 56 and -55
  Swap 56 and -55
  List after swap: [-5, -62, -55, 56]

Pass 2:
  Compare -5 and -62
  Swap -5 and -62
  List after swap: [-62, -5, -55, 56]
  Compare -5 and -55
  Swap -5 and -55
  List after swap: [-62, -55, -5, 56]

Pass 3:
  Compare -62 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -55, -5, 56]
</think>

<response>-62, -55, -5, 56</response>


input: Perform a bubble sort on the integers 91, -97, -60, -56, -9, 16, -10, -25, -4, -64, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [91, -97, -60, -56, -9, 16, -10, -25, -4, -64]

Pass 1:
  Compare 91 and -97
  Swap 91 and -97
  List after swap: [-97, 91, -60, -56, -9, 16, -10, -25, -4, -64]
  Compare 91 and -60
  Swap 91 and -60
  List after swap: [-97, -60, 91, -56, -9, 16, -10, -25, -4, -64]
  Compare 91 and -56
  Swap 91 and -56
  List after swap: [-97, -60, -56, 91, -9, 16, -10, -25, -4, -64]
  Compare 91 and -9
  Swap 91 and -9
  List after swap: [-97, -60, -56, -9, 91, 16, -10, -25, -4, -64]
  Compare 91 and 16
  Swap 91 and 16
  List after swap: [-97, -60, -56, -9, 16, 91, -10, -25, -4, -64]
  Compare 91 and -10
  Swap 91 and -10
  List after swap: [-97, -60, -56, -9, 16, -10, 91, -25, -4, -64]
  Compare 91 and -25
  Swap 91 and -25
  List after swap: [-97, -60, -56, -9, 16, -10, -25, 91, -4, -64]
  Compare 91 and -4
  Swap 91 and -4
  List after swap: [-97, -60, -56, -9, 16, -10, -25, -4, 91, -64]
  Compare 91 and -64
  Swap 91 and -64
  List after swap: [-97, -60, -56, -9, 16, -10, -25, -4, -64, 91]

Pass 2:
  Compare -97 and -60
  No swap needed
  Compare -60 and -56
  No swap needed
  Compare -56 and -9
  No swap needed
  Compare -9 and 16
  No swap needed
  Compare 16 and -10
  Swap 16 and -10
  List after swap: [-97, -60, -56, -9, -10, 16, -25, -4, -64, 91]
  Compare 16 and -25
  Swap 16 and -25
  List after swap: [-97, -60, -56, -9, -10, -25, 16, -4, -64, 91]
  Compare 16 and -4
  Swap 16 and -4
  List after swap: [-97, -60, -56, -9, -10, -25, -4, 16, -64, 91]
  Compare 16 and -64
  Swap 16 and -64
  List after swap: [-97, -60, -56, -9, -10, -25, -4, -64, 16, 91]

Pass 3:
  Compare -97 and -60
  No swap needed
  Compare -60 and -56
  No swap needed
  Compare -56 and -9
  No swap needed
  Compare -9 and -10
  Swap -9 and -10
  List after swap: [-97, -60, -56, -10, -9, -25, -4, -64, 16, 91]
  Compare -9 and -25
  Swap -9 and -25
  List after swap: [-97, -60, -56, -10, -25, -9, -4, -64, 16, 91]
  Compare -9 and -4
  No swap needed
  Compare -4 and -64
  Swap -4 and -64
  List after swap: [-97, -60, -56, -10, -25, -9, -64, -4, 16, 91]

Pass 4:
  Compare -97 and -60
  No swap needed
  Compare -60 and -56
  No swap needed
  Compare -56 and -10
  No swap needed
  Compare -10 and -25
  Swap -10 and -25
  List after swap: [-97, -60, -56, -25, -10, -9, -64, -4, 16, 91]
  Compare -10 and -9
  No swap needed
  Compare -9 and -64
  Swap -9 and -64
  List after swap: [-97, -60, -56, -25, -10, -64, -9, -4, 16, 91]

Pass 5:
  Compare -97 and -60
  No swap needed
  Compare -60 and -56
  No swap needed
  Compare -56 and -25
  No swap needed
  Compare -25 and -10
  No swap needed
  Compare -10 and -64
  Swap -10 and -64
  List after swap: [-97, -60, -56, -25, -64, -10, -9, -4, 16, 91]

Pass 6:
  Compare -97 and -60
  No swap needed
  Compare -60 and -56
  No swap needed
  Compare -56 and -25
  No swap needed
  Compare -25 and -64
  Swap -25 and -64
  List after swap: [-97, -60, -56, -64, -25, -10, -9, -4, 16, 91]

Pass 7:
  Compare -97 and -60
  No swap needed
  Compare -60 and -56
  No swap needed
  Compare -56 and -64
  Swap -56 and -64
  List after swap: [-97, -60, -64, -56, -25, -10, -9, -4, 16, 91]

Pass 8:
  Compare -97 and -60
  No swap needed
  Compare -60 and -64
  Swap -60 and -64
  List after swap: [-97, -64, -60, -56, -25, -10, -9, -4, 16, 91]

Pass 9:
  Compare -97 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -64, -60, -56, -25, -10, -9, -4, 16, 91]
</think>

<response>-97, -64, -60, -56, -25, -10, -9, -4, 16, 91</response>


input: Sort the list 97, 53, 3, -92, 79, 70, 85, 61, -20, -73 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [97, 53, 3, -92, 79, 70, 85, 61, -20, -73]

Pass 1:
  Compare 97 and 53
  Swap 97 and 53
  List after swap: [53, 97, 3, -92, 79, 70, 85, 61, -20, -73]
  Compare 97 and 3
  Swap 97 and 3
  List after swap: [53, 3, 97, -92, 79, 70, 85, 61, -20, -73]
  Compare 97 and -92
  Swap 97 and -92
  List after swap: [53, 3, -92, 97, 79, 70, 85, 61, -20, -73]
  Compare 97 and 79
  Swap 97 and 79
  List after swap: [53, 3, -92, 79, 97, 70, 85, 61, -20, -73]
  Compare 97 and 70
  Swap 97 and 70
  List after swap: [53, 3, -92, 79, 70, 97, 85, 61, -20, -73]
  Compare 97 and 85
  Swap 97 and 85
  List after swap: [53, 3, -92, 79, 70, 85, 97, 61, -20, -73]
  Compare 97 and 61
  Swap 97 and 61
  List after swap: [53, 3, -92, 79, 70, 85, 61, 97, -20, -73]
  Compare 97 and -20
  Swap 97 and -20
  List after swap: [53, 3, -92, 79, 70, 85, 61, -20, 97, -73]
  Compare 97 and -73
  Swap 97 and -73
  List after swap: [53, 3, -92, 79, 70, 85, 61, -20, -73, 97]

Pass 2:
  Compare 53 and 3
  Swap 53 and 3
  List after swap: [3, 53, -92, 79, 70, 85, 61, -20, -73, 97]
  Compare 53 and -92
  Swap 53 and -92
  List after swap: [3, -92, 53, 79, 70, 85, 61, -20, -73, 97]
  Compare 53 and 79
  No swap needed
  Compare 79 and 70
  Swap 79 and 70
  List after swap: [3, -92, 53, 70, 79, 85, 61, -20, -73, 97]
  Compare 79 and 85
  No swap needed
  Compare 85 and 61
  Swap 85 and 61
  List after swap: [3, -92, 53, 70, 79, 61, 85, -20, -73, 97]
  Compare 85 and -20
  Swap 85 and -20
  List after swap: [3, -92, 53, 70, 79, 61, -20, 85, -73, 97]
  Compare 85 and -73
  Swap 85 and -73
  List after swap: [3, -92, 53, 70, 79, 61, -20, -73, 85, 97]

Pass 3:
  Compare 3 and -92
  Swap 3 and -92
  List after swap: [-92, 3, 53, 70, 79, 61, -20, -73, 85, 97]
  Compare 3 and 53
  No swap needed
  Compare 53 and 70
  No swap needed
  Compare 70 and 79
  No swap needed
  Compare 79 and 61
  Swap 79 and 61
  List after swap: [-92, 3, 53, 70, 61, 79, -20, -73, 85, 97]
  Compare 79 and -20
  Swap 79 and -20
  List after swap: [-92, 3, 53, 70, 61, -20, 79, -73, 85, 97]
  Compare 79 and -73
  Swap 79 and -73
  List after swap: [-92, 3, 53, 70, 61, -20, -73, 79, 85, 97]

Pass 4:
  Compare -92 and 3
  No swap needed
  Compare 3 and 53
  No swap needed
  Compare 53 and 70
  No swap needed
  Compare 70 and 61
  Swap 70 and 61
  List after swap: [-92, 3, 53, 61, 70, -20, -73, 79, 85, 97]
  Compare 70 and -20
  Swap 70 and -20
  List after swap: [-92, 3, 53, 61, -20, 70, -73, 79, 85, 97]
  Compare 70 and -73
  Swap 70 and -73
  List after swap: [-92, 3, 53, 61, -20, -73, 70, 79, 85, 97]

Pass 5:
  Compare -92 and 3
  No swap needed
  Compare 3 and 53
  No swap needed
  Compare 53 and 61
  No swap needed
  Compare 61 and -20
  Swap 61 and -20
  List after swap: [-92, 3, 53, -20, 61, -73, 70, 79, 85, 97]
  Compare 61 and -73
  Swap 61 and -73
  List after swap: [-92, 3, 53, -20, -73, 61, 70, 79, 85, 97]

Pass 6:
  Compare -92 and 3
  No swap needed
  Compare 3 and 53
  No swap needed
  Compare 53 and -20
  Swap 53 and -20
  List after swap: [-92, 3, -20, 53, -73, 61, 70, 79, 85, 97]
  Compare 53 and -73
  Swap 53 and -73
  List after swap: [-92, 3, -20, -73, 53, 61, 70, 79, 85, 97]

Pass 7:
  Compare -92 and 3
  No swap needed
  Compare 3 and -20
  Swap 3 and -20
  List after swap: [-92, -20, 3, -73, 53, 61, 70, 79, 85, 97]
  Compare 3 and -73
  Swap 3 and -73
  List after swap: [-92, -20, -73, 3, 53, 61, 70, 79, 85, 97]

Pass 8:
  Compare -92 and -20
  No swap needed
  Compare -20 and -73
  Swap -20 and -73
  List after swap: [-92, -73, -20, 3, 53, 61, 70, 79, 85, 97]

Pass 9:
  Compare -92 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -73, -20, 3, 53, 61, 70, 79, 85, 97]
</think>

<response>-92, -73, -20, 3, 53, 61, 70, 79, 85, 97</response>


input: Implement bubble sort on 47, 77 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [47, 77]

Pass 1:
  Compare 47 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [47, 77]
</think>

<response>47, 77</response>


input: Sort these integers -13, 94, 93, 83 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-13, 94, 93, 83]

Pass 1:
  Compare -13 and 94
  No swap needed
  Compare 94 and 93
  Swap 94 and 93
  List after swap: [-13, 93, 94, 83]
  Compare 94 and 83
  Swap 94 and 83
  List after swap: [-13, 93, 83, 94]

Pass 2:
  Compare -13 and 93
  No swap needed
  Compare 93 and 83
  Swap 93 and 83
  List after swap: [-13, 83, 93, 94]

Pass 3:
  Compare -13 and 83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-13, 83, 93, 94]
</think>

<response>-13, 83, 93, 94</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 20, -79, -50, -26, -16, -68.

output:
<think>
Initial list: [20, -79, -50, -26, -16, -68]

Pass 1:
  Compare 20 and -79
  Swap 20 and -79
  List after swap: [-79, 20, -50, -26, -16, -68]
  Compare 20 and -50
  Swap 20 and -50
  List after swap: [-79, -50, 20, -26, -16, -68]
  Compare 20 and -26
  Swap 20 and -26
  List after swap: [-79, -50, -26, 20, -16, -68]
  Compare 20 and -16
  Swap 20 and -16
  List after swap: [-79, -50, -26, -16, 20, -68]
  Compare 20 and -68
  Swap 20 and -68
  List after swap: [-79, -50, -26, -16, -68, 20]

Pass 2:
  Compare -79 and -50
  No swap needed
  Compare -50 and -26
  No swap needed
  Compare -26 and -16
  No swap needed
  Compare -16 and -68
  Swap -16 and -68
  List after swap: [-79, -50, -26, -68, -16, 20]

Pass 3:
  Compare -79 and -50
  No swap needed
  Compare -50 and -26
  No swap needed
  Compare -26 and -68
  Swap -26 and -68
  List after swap: [-79, -50, -68, -26, -16, 20]

Pass 4:
  Compare -79 and -50
  No swap needed
  Compare -50 and -68
  Swap -50 and -68
  List after swap: [-79, -68, -50, -26, -16, 20]

Pass 5:
  Compare -79 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -68, -50, -26, -16, 20]
</think>

<response>-79, -68, -50, -26, -16, 20</response>


input: Sort the list -49, 19, -77 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-49, 19, -77]

Pass 1:
  Compare -49 and 19
  No swap needed
  Compare 19 and -77
  Swap 19 and -77
  List after swap: [-49, -77, 19]

Pass 2:
  Compare -49 and -77
  Swap -49 and -77
  List after swap: [-77, -49, 19]

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

Final sorted list: [-77, -49, 19]
</think>

<response>-77, -49, 19</response>


input: Sort these integers -53, -92, -62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-53, -92, -62]

Pass 1:
  Compare -53 and -92
  Swap -53 and -92
  List after swap: [-92, -53, -62]
  Compare -53 and -62
  Swap -53 and -62
  List after swap: [-92, -62, -53]

Pass 2:
  Compare -92 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -62, -53]
</think>

<response>-92, -62, -53</response>