input: Using the bubble sort method, sort 77, -40, 72, 8, 91, -58, 13 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [77, -40, 72, 8, 91, -58, 13]

Pass 1:
  Compare 77 and -40
  Swap 77 and -40
  List after swap: [-40, 77, 72, 8, 91, -58, 13]
  Compare 77 and 72
  Swap 77 and 72
  List after swap: [-40, 72, 77, 8, 91, -58, 13]
  Compare 77 and 8
  Swap 77 and 8
  List after swap: [-40, 72, 8, 77, 91, -58, 13]
  Compare 77 and 91
  No swap needed
  Compare 91 and -58
  Swap 91 and -58
  List after swap: [-40, 72, 8, 77, -58, 91, 13]
  Compare 91 and 13
  Swap 91 and 13
  List after swap: [-40, 72, 8, 77, -58, 13, 91]

Pass 2:
  Compare -40 and 72
  No swap needed
  Compare 72 and 8
  Swap 72 and 8
  List after swap: [-40, 8, 72, 77, -58, 13, 91]
  Compare 72 and 77
  No swap needed
  Compare 77 and -58
  Swap 77 and -58
  List after swap: [-40, 8, 72, -58, 77, 13, 91]
  Compare 77 and 13
  Swap 77 and 13
  List after swap: [-40, 8, 72, -58, 13, 77, 91]

Pass 3:
  Compare -40 and 8
  No swap needed
  Compare 8 and 72
  No swap needed
  Compare 72 and -58
  Swap 72 and -58
  List after swap: [-40, 8, -58, 72, 13, 77, 91]
  Compare 72 and 13
  Swap 72 and 13
  List after swap: [-40, 8, -58, 13, 72, 77, 91]

Pass 4:
  Compare -40 and 8
  No swap needed
  Compare 8 and -58
  Swap 8 and -58
  List after swap: [-40, -58, 8, 13, 72, 77, 91]
  Compare 8 and 13
  No swap needed

Pass 5:
  Compare -40 and -58
  Swap -40 and -58
  List after swap: [-58, -40, 8, 13, 72, 77, 91]
  Compare -40 and 8
  No swap needed

Pass 6:
  Compare -58 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -40, 8, 13, 72, 77, 91]
</think>

<response>-58, -40, 8, 13, 72, 77, 91</response>


input: Perform a bubble sort on the integers -27, -39, 10, -91, -60, -100, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-27, -39, 10, -91, -60, -100]

Pass 1:
  Compare -27 and -39
  Swap -27 and -39
  List after swap: [-39, -27, 10, -91, -60, -100]
  Compare -27 and 10
  No swap needed
  Compare 10 and -91
  Swap 10 and -91
  List after swap: [-39, -27, -91, 10, -60, -100]
  Compare 10 and -60
  Swap 10 and -60
  List after swap: [-39, -27, -91, -60, 10, -100]
  Compare 10 and -100
  Swap 10 and -100
  List after swap: [-39, -27, -91, -60, -100, 10]

Pass 2:
  Compare -39 and -27
  No swap needed
  Compare -27 and -91
  Swap -27 and -91
  List after swap: [-39, -91, -27, -60, -100, 10]
  Compare -27 and -60
  Swap -27 and -60
  List after swap: [-39, -91, -60, -27, -100, 10]
  Compare -27 and -100
  Swap -27 and -100
  List after swap: [-39, -91, -60, -100, -27, 10]

Pass 3:
  Compare -39 and -91
  Swap -39 and -91
  List after swap: [-91, -39, -60, -100, -27, 10]
  Compare -39 and -60
  Swap -39 and -60
  List after swap: [-91, -60, -39, -100, -27, 10]
  Compare -39 and -100
  Swap -39 and -100
  List after swap: [-91, -60, -100, -39, -27, 10]

Pass 4:
  Compare -91 and -60
  No swap needed
  Compare -60 and -100
  Swap -60 and -100
  List after swap: [-91, -100, -60, -39, -27, 10]

Pass 5:
  Compare -91 and -100
  Swap -91 and -100
  List after swap: [-100, -91, -60, -39, -27, 10]

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

Final sorted list: [-100, -91, -60, -39, -27, 10]
</think>

<response>-100, -91, -60, -39, -27, 10</response>


input: Carry out the bubble sort algorithm on 85, 50, -16, -97, 53, 55 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [85, 50, -16, -97, 53, 55]

Pass 1:
  Compare 85 and 50
  Swap 85 and 50
  List after swap: [50, 85, -16, -97, 53, 55]
  Compare 85 and -16
  Swap 85 and -16
  List after swap: [50, -16, 85, -97, 53, 55]
  Compare 85 and -97
  Swap 85 and -97
  List after swap: [50, -16, -97, 85, 53, 55]
  Compare 85 and 53
  Swap 85 and 53
  List after swap: [50, -16, -97, 53, 85, 55]
  Compare 85 and 55
  Swap 85 and 55
  List after swap: [50, -16, -97, 53, 55, 85]

Pass 2:
  Compare 50 and -16
  Swap 50 and -16
  List after swap: [-16, 50, -97, 53, 55, 85]
  Compare 50 and -97
  Swap 50 and -97
  List after swap: [-16, -97, 50, 53, 55, 85]
  Compare 50 and 53
  No swap needed
  Compare 53 and 55
  No swap needed

Pass 3:
  Compare -16 and -97
  Swap -16 and -97
  List after swap: [-97, -16, 50, 53, 55, 85]
  Compare -16 and 50
  No swap needed
  Compare 50 and 53
  No swap needed

Pass 4:
  Compare -97 and -16
  No swap needed
  Compare -16 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -16, 50, 53, 55, 85]
</think>

<response>-97, -16, 50, 53, 55, 85</response>


input: Sort the list 94, 93, 57, 61 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [94, 93, 57, 61]

Pass 1:
  Compare 94 and 93
  Swap 94 and 93
  List after swap: [93, 94, 57, 61]
  Compare 94 and 57
  Swap 94 and 57
  List after swap: [93, 57, 94, 61]
  Compare 94 and 61
  Swap 94 and 61
  List after swap: [93, 57, 61, 94]

Pass 2:
  Compare 93 and 57
  Swap 93 and 57
  List after swap: [57, 93, 61, 94]
  Compare 93 and 61
  Swap 93 and 61
  List after swap: [57, 61, 93, 94]

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

Final sorted list: [57, 61, 93, 94]
</think>

<response>57, 61, 93, 94</response>


input: Arrange the numbers 90, -95, 11, -65, 70, 59, -1, -31, 99, -42 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [90, -95, 11, -65, 70, 59, -1, -31, 99, -42]

Pass 1:
  Compare 90 and -95
  Swap 90 and -95
  List after swap: [-95, 90, 11, -65, 70, 59, -1, -31, 99, -42]
  Compare 90 and 11
  Swap 90 and 11
  List after swap: [-95, 11, 90, -65, 70, 59, -1, -31, 99, -42]
  Compare 90 and -65
  Swap 90 and -65
  List after swap: [-95, 11, -65, 90, 70, 59, -1, -31, 99, -42]
  Compare 90 and 70
  Swap 90 and 70
  List after swap: [-95, 11, -65, 70, 90, 59, -1, -31, 99, -42]
  Compare 90 and 59
  Swap 90 and 59
  List after swap: [-95, 11, -65, 70, 59, 90, -1, -31, 99, -42]
  Compare 90 and -1
  Swap 90 and -1
  List after swap: [-95, 11, -65, 70, 59, -1, 90, -31, 99, -42]
  Compare 90 and -31
  Swap 90 and -31
  List after swap: [-95, 11, -65, 70, 59, -1, -31, 90, 99, -42]
  Compare 90 and 99
  No swap needed
  Compare 99 and -42
  Swap 99 and -42
  List after swap: [-95, 11, -65, 70, 59, -1, -31, 90, -42, 99]

Pass 2:
  Compare -95 and 11
  No swap needed
  Compare 11 and -65
  Swap 11 and -65
  List after swap: [-95, -65, 11, 70, 59, -1, -31, 90, -42, 99]
  Compare 11 and 70
  No swap needed
  Compare 70 and 59
  Swap 70 and 59
  List after swap: [-95, -65, 11, 59, 70, -1, -31, 90, -42, 99]
  Compare 70 and -1
  Swap 70 and -1
  List after swap: [-95, -65, 11, 59, -1, 70, -31, 90, -42, 99]
  Compare 70 and -31
  Swap 70 and -31
  List after swap: [-95, -65, 11, 59, -1, -31, 70, 90, -42, 99]
  Compare 70 and 90
  No swap needed
  Compare 90 and -42
  Swap 90 and -42
  List after swap: [-95, -65, 11, 59, -1, -31, 70, -42, 90, 99]

Pass 3:
  Compare -95 and -65
  No swap needed
  Compare -65 and 11
  No swap needed
  Compare 11 and 59
  No swap needed
  Compare 59 and -1
  Swap 59 and -1
  List after swap: [-95, -65, 11, -1, 59, -31, 70, -42, 90, 99]
  Compare 59 and -31
  Swap 59 and -31
  List after swap: [-95, -65, 11, -1, -31, 59, 70, -42, 90, 99]
  Compare 59 and 70
  No swap needed
  Compare 70 and -42
  Swap 70 and -42
  List after swap: [-95, -65, 11, -1, -31, 59, -42, 70, 90, 99]

Pass 4:
  Compare -95 and -65
  No swap needed
  Compare -65 and 11
  No swap needed
  Compare 11 and -1
  Swap 11 and -1
  List after swap: [-95, -65, -1, 11, -31, 59, -42, 70, 90, 99]
  Compare 11 and -31
  Swap 11 and -31
  List after swap: [-95, -65, -1, -31, 11, 59, -42, 70, 90, 99]
  Compare 11 and 59
  No swap needed
  Compare 59 and -42
  Swap 59 and -42
  List after swap: [-95, -65, -1, -31, 11, -42, 59, 70, 90, 99]

Pass 5:
  Compare -95 and -65
  No swap needed
  Compare -65 and -1
  No swap needed
  Compare -1 and -31
  Swap -1 and -31
  List after swap: [-95, -65, -31, -1, 11, -42, 59, 70, 90, 99]
  Compare -1 and 11
  No swap needed
  Compare 11 and -42
  Swap 11 and -42
  List after swap: [-95, -65, -31, -1, -42, 11, 59, 70, 90, 99]

Pass 6:
  Compare -95 and -65
  No swap needed
  Compare -65 and -31
  No swap needed
  Compare -31 and -1
  No swap needed
  Compare -1 and -42
  Swap -1 and -42
  List after swap: [-95, -65, -31, -42, -1, 11, 59, 70, 90, 99]

Pass 7:
  Compare -95 and -65
  No swap needed
  Compare -65 and -31
  No swap needed
  Compare -31 and -42
  Swap -31 and -42
  List after swap: [-95, -65, -42, -31, -1, 11, 59, 70, 90, 99]

Pass 8:
  Compare -95 and -65
  No swap needed
  Compare -65 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -65, -42, -31, -1, 11, 59, 70, 90, 99]
</think>

<response>-95, -65, -42, -31, -1, 11, 59, 70, 90, 99</response>


input: Carry out the bubble sort algorithm on 86, 44, 66, -72, 13, -98 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [86, 44, 66, -72, 13, -98]

Pass 1:
  Compare 86 and 44
  Swap 86 and 44
  List after swap: [44, 86, 66, -72, 13, -98]
  Compare 86 and 66
  Swap 86 and 66
  List after swap: [44, 66, 86, -72, 13, -98]
  Compare 86 and -72
  Swap 86 and -72
  List after swap: [44, 66, -72, 86, 13, -98]
  Compare 86 and 13
  Swap 86 and 13
  List after swap: [44, 66, -72, 13, 86, -98]
  Compare 86 and -98
  Swap 86 and -98
  List after swap: [44, 66, -72, 13, -98, 86]

Pass 2:
  Compare 44 and 66
  No swap needed
  Compare 66 and -72
  Swap 66 and -72
  List after swap: [44, -72, 66, 13, -98, 86]
  Compare 66 and 13
  Swap 66 and 13
  List after swap: [44, -72, 13, 66, -98, 86]
  Compare 66 and -98
  Swap 66 and -98
  List after swap: [44, -72, 13, -98, 66, 86]

Pass 3:
  Compare 44 and -72
  Swap 44 and -72
  List after swap: [-72, 44, 13, -98, 66, 86]
  Compare 44 and 13
  Swap 44 and 13
  List after swap: [-72, 13, 44, -98, 66, 86]
  Compare 44 and -98
  Swap 44 and -98
  List after swap: [-72, 13, -98, 44, 66, 86]

Pass 4:
  Compare -72 and 13
  No swap needed
  Compare 13 and -98
  Swap 13 and -98
  List after swap: [-72, -98, 13, 44, 66, 86]

Pass 5:
  Compare -72 and -98
  Swap -72 and -98
  List after swap: [-98, -72, 13, 44, 66, 86]

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

Final sorted list: [-98, -72, 13, 44, 66, 86]
</think>

<response>-98, -72, 13, 44, 66, 86</response>


input: Execute bubble sort to sort -52, -58, 9, -3, -16, 56, 0, 86, -48 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-52, -58, 9, -3, -16, 56, 0, 86, -48]

Pass 1:
  Compare -52 and -58
  Swap -52 and -58
  List after swap: [-58, -52, 9, -3, -16, 56, 0, 86, -48]
  Compare -52 and 9
  No swap needed
  Compare 9 and -3
  Swap 9 and -3
  List after swap: [-58, -52, -3, 9, -16, 56, 0, 86, -48]
  Compare 9 and -16
  Swap 9 and -16
  List after swap: [-58, -52, -3, -16, 9, 56, 0, 86, -48]
  Compare 9 and 56
  No swap needed
  Compare 56 and 0
  Swap 56 and 0
  List after swap: [-58, -52, -3, -16, 9, 0, 56, 86, -48]
  Compare 56 and 86
  No swap needed
  Compare 86 and -48
  Swap 86 and -48
  List after swap: [-58, -52, -3, -16, 9, 0, 56, -48, 86]

Pass 2:
  Compare -58 and -52
  No swap needed
  Compare -52 and -3
  No swap needed
  Compare -3 and -16
  Swap -3 and -16
  List after swap: [-58, -52, -16, -3, 9, 0, 56, -48, 86]
  Compare -3 and 9
  No swap needed
  Compare 9 and 0
  Swap 9 and 0
  List after swap: [-58, -52, -16, -3, 0, 9, 56, -48, 86]
  Compare 9 and 56
  No swap needed
  Compare 56 and -48
  Swap 56 and -48
  List after swap: [-58, -52, -16, -3, 0, 9, -48, 56, 86]

Pass 3:
  Compare -58 and -52
  No swap needed
  Compare -52 and -16
  No swap needed
  Compare -16 and -3
  No swap needed
  Compare -3 and 0
  No swap needed
  Compare 0 and 9
  No swap needed
  Compare 9 and -48
  Swap 9 and -48
  List after swap: [-58, -52, -16, -3, 0, -48, 9, 56, 86]

Pass 4:
  Compare -58 and -52
  No swap needed
  Compare -52 and -16
  No swap needed
  Compare -16 and -3
  No swap needed
  Compare -3 and 0
  No swap needed
  Compare 0 and -48
  Swap 0 and -48
  List after swap: [-58, -52, -16, -3, -48, 0, 9, 56, 86]

Pass 5:
  Compare -58 and -52
  No swap needed
  Compare -52 and -16
  No swap needed
  Compare -16 and -3
  No swap needed
  Compare -3 and -48
  Swap -3 and -48
  List after swap: [-58, -52, -16, -48, -3, 0, 9, 56, 86]

Pass 6:
  Compare -58 and -52
  No swap needed
  Compare -52 and -16
  No swap needed
  Compare -16 and -48
  Swap -16 and -48
  List after swap: [-58, -52, -48, -16, -3, 0, 9, 56, 86]

Pass 7:
  Compare -58 and -52
  No swap needed
  Compare -52 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -52, -48, -16, -3, 0, 9, 56, 86]
</think>

<response>-58, -52, -48, -16, -3, 0, 9, 56, 86</response>


input: Carry out the bubble sort algorithm on -9, -99, 37 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-9, -99, 37]

Pass 1:
  Compare -9 and -99
  Swap -9 and -99
  List after swap: [-99, -9, 37]
  Compare -9 and 37
  No swap needed

Pass 2:
  Compare -99 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -9, 37]
</think>

<response>-99, -9, 37</response>


input: Implement bubble sort on 9, 46, -64 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [9, 46, -64]

Pass 1:
  Compare 9 and 46
  No swap needed
  Compare 46 and -64
  Swap 46 and -64
  List after swap: [9, -64, 46]

Pass 2:
  Compare 9 and -64
  Swap 9 and -64
  List after swap: [-64, 9, 46]

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

Final sorted list: [-64, 9, 46]
</think>

<response>-64, 9, 46</response>


input: Sort the list 39, 52, 26, -78, 75, 13, -10 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [39, 52, 26, -78, 75, 13, -10]

Pass 1:
  Compare 39 and 52
  No swap needed
  Compare 52 and 26
  Swap 52 and 26
  List after swap: [39, 26, 52, -78, 75, 13, -10]
  Compare 52 and -78
  Swap 52 and -78
  List after swap: [39, 26, -78, 52, 75, 13, -10]
  Compare 52 and 75
  No swap needed
  Compare 75 and 13
  Swap 75 and 13
  List after swap: [39, 26, -78, 52, 13, 75, -10]
  Compare 75 and -10
  Swap 75 and -10
  List after swap: [39, 26, -78, 52, 13, -10, 75]

Pass 2:
  Compare 39 and 26
  Swap 39 and 26
  List after swap: [26, 39, -78, 52, 13, -10, 75]
  Compare 39 and -78
  Swap 39 and -78
  List after swap: [26, -78, 39, 52, 13, -10, 75]
  Compare 39 and 52
  No swap needed
  Compare 52 and 13
  Swap 52 and 13
  List after swap: [26, -78, 39, 13, 52, -10, 75]
  Compare 52 and -10
  Swap 52 and -10
  List after swap: [26, -78, 39, 13, -10, 52, 75]

Pass 3:
  Compare 26 and -78
  Swap 26 and -78
  List after swap: [-78, 26, 39, 13, -10, 52, 75]
  Compare 26 and 39
  No swap needed
  Compare 39 and 13
  Swap 39 and 13
  List after swap: [-78, 26, 13, 39, -10, 52, 75]
  Compare 39 and -10
  Swap 39 and -10
  List after swap: [-78, 26, 13, -10, 39, 52, 75]

Pass 4:
  Compare -78 and 26
  No swap needed
  Compare 26 and 13
  Swap 26 and 13
  List after swap: [-78, 13, 26, -10, 39, 52, 75]
  Compare 26 and -10
  Swap 26 and -10
  List after swap: [-78, 13, -10, 26, 39, 52, 75]

Pass 5:
  Compare -78 and 13
  No swap needed
  Compare 13 and -10
  Swap 13 and -10
  List after swap: [-78, -10, 13, 26, 39, 52, 75]

Pass 6:
  Compare -78 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -10, 13, 26, 39, 52, 75]
</think>

<response>-78, -10, 13, 26, 39, 52, 75</response>


input: Sort the list -19, -92, 53, -14 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-19, -92, 53, -14]

Pass 1:
  Compare -19 and -92
  Swap -19 and -92
  List after swap: [-92, -19, 53, -14]
  Compare -19 and 53
  No swap needed
  Compare 53 and -14
  Swap 53 and -14
  List after swap: [-92, -19, -14, 53]

Pass 2:
  Compare -92 and -19
  No swap needed
  Compare -19 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -19, -14, 53]
</think>

<response>-92, -19, -14, 53</response>


input: Sort the list -19, 93, -26, 14, -62, -87 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-19, 93, -26, 14, -62, -87]

Pass 1:
  Compare -19 and 93
  No swap needed
  Compare 93 and -26
  Swap 93 and -26
  List after swap: [-19, -26, 93, 14, -62, -87]
  Compare 93 and 14
  Swap 93 and 14
  List after swap: [-19, -26, 14, 93, -62, -87]
  Compare 93 and -62
  Swap 93 and -62
  List after swap: [-19, -26, 14, -62, 93, -87]
  Compare 93 and -87
  Swap 93 and -87
  List after swap: [-19, -26, 14, -62, -87, 93]

Pass 2:
  Compare -19 and -26
  Swap -19 and -26
  List after swap: [-26, -19, 14, -62, -87, 93]
  Compare -19 and 14
  No swap needed
  Compare 14 and -62
  Swap 14 and -62
  List after swap: [-26, -19, -62, 14, -87, 93]
  Compare 14 and -87
  Swap 14 and -87
  List after swap: [-26, -19, -62, -87, 14, 93]

Pass 3:
  Compare -26 and -19
  No swap needed
  Compare -19 and -62
  Swap -19 and -62
  List after swap: [-26, -62, -19, -87, 14, 93]
  Compare -19 and -87
  Swap -19 and -87
  List after swap: [-26, -62, -87, -19, 14, 93]

Pass 4:
  Compare -26 and -62
  Swap -26 and -62
  List after swap: [-62, -26, -87, -19, 14, 93]
  Compare -26 and -87
  Swap -26 and -87
  List after swap: [-62, -87, -26, -19, 14, 93]

Pass 5:
  Compare -62 and -87
  Swap -62 and -87
  List after swap: [-87, -62, -26, -19, 14, 93]

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

Final sorted list: [-87, -62, -26, -19, 14, 93]
</think>

<response>-87, -62, -26, -19, 14, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 26, 5, -21, -56, 92, 59, -61.

output:
<think>
Initial list: [26, 5, -21, -56, 92, 59, -61]

Pass 1:
  Compare 26 and 5
  Swap 26 and 5
  List after swap: [5, 26, -21, -56, 92, 59, -61]
  Compare 26 and -21
  Swap 26 and -21
  List after swap: [5, -21, 26, -56, 92, 59, -61]
  Compare 26 and -56
  Swap 26 and -56
  List after swap: [5, -21, -56, 26, 92, 59, -61]
  Compare 26 and 92
  No swap needed
  Compare 92 and 59
  Swap 92 and 59
  List after swap: [5, -21, -56, 26, 59, 92, -61]
  Compare 92 and -61
  Swap 92 and -61
  List after swap: [5, -21, -56, 26, 59, -61, 92]

Pass 2:
  Compare 5 and -21
  Swap 5 and -21
  List after swap: [-21, 5, -56, 26, 59, -61, 92]
  Compare 5 and -56
  Swap 5 and -56
  List after swap: [-21, -56, 5, 26, 59, -61, 92]
  Compare 5 and 26
  No swap needed
  Compare 26 and 59
  No swap needed
  Compare 59 and -61
  Swap 59 and -61
  List after swap: [-21, -56, 5, 26, -61, 59, 92]

Pass 3:
  Compare -21 and -56
  Swap -21 and -56
  List after swap: [-56, -21, 5, 26, -61, 59, 92]
  Compare -21 and 5
  No swap needed
  Compare 5 and 26
  No swap needed
  Compare 26 and -61
  Swap 26 and -61
  List after swap: [-56, -21, 5, -61, 26, 59, 92]

Pass 4:
  Compare -56 and -21
  No swap needed
  Compare -21 and 5
  No swap needed
  Compare 5 and -61
  Swap 5 and -61
  List after swap: [-56, -21, -61, 5, 26, 59, 92]

Pass 5:
  Compare -56 and -21
  No swap needed
  Compare -21 and -61
  Swap -21 and -61
  List after swap: [-56, -61, -21, 5, 26, 59, 92]

Pass 6:
  Compare -56 and -61
  Swap -56 and -61
  List after swap: [-61, -56, -21, 5, 26, 59, 92]

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

Final sorted list: [-61, -56, -21, 5, 26, 59, 92]
</think>

<response>-61, -56, -21, 5, 26, 59, 92</response>


input: Demonstrate how bubble sort orders the integers 87, 97, 4, -15, -27 in ascending sequence, showing all steps.

output:
<think>
Initial list: [87, 97, 4, -15, -27]

Pass 1:
  Compare 87 and 97
  No swap needed
  Compare 97 and 4
  Swap 97 and 4
  List after swap: [87, 4, 97, -15, -27]
  Compare 97 and -15
  Swap 97 and -15
  List after swap: [87, 4, -15, 97, -27]
  Compare 97 and -27
  Swap 97 and -27
  List after swap: [87, 4, -15, -27, 97]

Pass 2:
  Compare 87 and 4
  Swap 87 and 4
  List after swap: [4, 87, -15, -27, 97]
  Compare 87 and -15
  Swap 87 and -15
  List after swap: [4, -15, 87, -27, 97]
  Compare 87 and -27
  Swap 87 and -27
  List after swap: [4, -15, -27, 87, 97]

Pass 3:
  Compare 4 and -15
  Swap 4 and -15
  List after swap: [-15, 4, -27, 87, 97]
  Compare 4 and -27
  Swap 4 and -27
  List after swap: [-15, -27, 4, 87, 97]

Pass 4:
  Compare -15 and -27
  Swap -15 and -27
  List after swap: [-27, -15, 4, 87, 97]

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

Final sorted list: [-27, -15, 4, 87, 97]
</think>

<response>-27, -15, 4, 87, 97</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -14, 40, -24, 96, 56.

output:
<think>
Initial list: [-14, 40, -24, 96, 56]

Pass 1:
  Compare -14 and 40
  No swap needed
  Compare 40 and -24
  Swap 40 and -24
  List after swap: [-14, -24, 40, 96, 56]
  Compare 40 and 96
  No swap needed
  Compare 96 and 56
  Swap 96 and 56
  List after swap: [-14, -24, 40, 56, 96]

Pass 2:
  Compare -14 and -24
  Swap -14 and -24
  List after swap: [-24, -14, 40, 56, 96]
  Compare -14 and 40
  No swap needed
  Compare 40 and 56
  No swap needed

Pass 3:
  Compare -24 and -14
  No swap needed
  Compare -14 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, -14, 40, 56, 96]
</think>

<response>-24, -14, 40, 56, 96</response>


input: Use the bubble sort technique to reorder 58, 10, -67, -79, -95, 63, -26, -42, 88 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [58, 10, -67, -79, -95, 63, -26, -42, 88]

Pass 1:
  Compare 58 and 10
  Swap 58 and 10
  List after swap: [10, 58, -67, -79, -95, 63, -26, -42, 88]
  Compare 58 and -67
  Swap 58 and -67
  List after swap: [10, -67, 58, -79, -95, 63, -26, -42, 88]
  Compare 58 and -79
  Swap 58 and -79
  List after swap: [10, -67, -79, 58, -95, 63, -26, -42, 88]
  Compare 58 and -95
  Swap 58 and -95
  List after swap: [10, -67, -79, -95, 58, 63, -26, -42, 88]
  Compare 58 and 63
  No swap needed
  Compare 63 and -26
  Swap 63 and -26
  List after swap: [10, -67, -79, -95, 58, -26, 63, -42, 88]
  Compare 63 and -42
  Swap 63 and -42
  List after swap: [10, -67, -79, -95, 58, -26, -42, 63, 88]
  Compare 63 and 88
  No swap needed

Pass 2:
  Compare 10 and -67
  Swap 10 and -67
  List after swap: [-67, 10, -79, -95, 58, -26, -42, 63, 88]
  Compare 10 and -79
  Swap 10 and -79
  List after swap: [-67, -79, 10, -95, 58, -26, -42, 63, 88]
  Compare 10 and -95
  Swap 10 and -95
  List after swap: [-67, -79, -95, 10, 58, -26, -42, 63, 88]
  Compare 10 and 58
  No swap needed
  Compare 58 and -26
  Swap 58 and -26
  List after swap: [-67, -79, -95, 10, -26, 58, -42, 63, 88]
  Compare 58 and -42
  Swap 58 and -42
  List after swap: [-67, -79, -95, 10, -26, -42, 58, 63, 88]
  Compare 58 and 63
  No swap needed

Pass 3:
  Compare -67 and -79
  Swap -67 and -79
  List after swap: [-79, -67, -95, 10, -26, -42, 58, 63, 88]
  Compare -67 and -95
  Swap -67 and -95
  List after swap: [-79, -95, -67, 10, -26, -42, 58, 63, 88]
  Compare -67 and 10
  No swap needed
  Compare 10 and -26
  Swap 10 and -26
  List after swap: [-79, -95, -67, -26, 10, -42, 58, 63, 88]
  Compare 10 and -42
  Swap 10 and -42
  List after swap: [-79, -95, -67, -26, -42, 10, 58, 63, 88]
  Compare 10 and 58
  No swap needed

Pass 4:
  Compare -79 and -95
  Swap -79 and -95
  List after swap: [-95, -79, -67, -26, -42, 10, 58, 63, 88]
  Compare -79 and -67
  No swap needed
  Compare -67 and -26
  No swap needed
  Compare -26 and -42
  Swap -26 and -42
  List after swap: [-95, -79, -67, -42, -26, 10, 58, 63, 88]
  Compare -26 and 10
  No swap needed

Pass 5:
  Compare -95 and -79
  No swap needed
  Compare -79 and -67
  No swap needed
  Compare -67 and -42
  No swap needed
  Compare -42 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -79, -67, -42, -26, 10, 58, 63, 88]
</think>

<response>-95, -79, -67, -42, -26, 10, 58, 63, 88</response>


input: Perform a bubble sort on the integers 84, 95, -49, 67, 27, 83, 75, 57, 41, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [84, 95, -49, 67, 27, 83, 75, 57, 41]

Pass 1:
  Compare 84 and 95
  No swap needed
  Compare 95 and -49
  Swap 95 and -49
  List after swap: [84, -49, 95, 67, 27, 83, 75, 57, 41]
  Compare 95 and 67
  Swap 95 and 67
  List after swap: [84, -49, 67, 95, 27, 83, 75, 57, 41]
  Compare 95 and 27
  Swap 95 and 27
  List after swap: [84, -49, 67, 27, 95, 83, 75, 57, 41]
  Compare 95 and 83
  Swap 95 and 83
  List after swap: [84, -49, 67, 27, 83, 95, 75, 57, 41]
  Compare 95 and 75
  Swap 95 and 75
  List after swap: [84, -49, 67, 27, 83, 75, 95, 57, 41]
  Compare 95 and 57
  Swap 95 and 57
  List after swap: [84, -49, 67, 27, 83, 75, 57, 95, 41]
  Compare 95 and 41
  Swap 95 and 41
  List after swap: [84, -49, 67, 27, 83, 75, 57, 41, 95]

Pass 2:
  Compare 84 and -49
  Swap 84 and -49
  List after swap: [-49, 84, 67, 27, 83, 75, 57, 41, 95]
  Compare 84 and 67
  Swap 84 and 67
  List after swap: [-49, 67, 84, 27, 83, 75, 57, 41, 95]
  Compare 84 and 27
  Swap 84 and 27
  List after swap: [-49, 67, 27, 84, 83, 75, 57, 41, 95]
  Compare 84 and 83
  Swap 84 and 83
  List after swap: [-49, 67, 27, 83, 84, 75, 57, 41, 95]
  Compare 84 and 75
  Swap 84 and 75
  List after swap: [-49, 67, 27, 83, 75, 84, 57, 41, 95]
  Compare 84 and 57
  Swap 84 and 57
  List after swap: [-49, 67, 27, 83, 75, 57, 84, 41, 95]
  Compare 84 and 41
  Swap 84 and 41
  List after swap: [-49, 67, 27, 83, 75, 57, 41, 84, 95]

Pass 3:
  Compare -49 and 67
  No swap needed
  Compare 67 and 27
  Swap 67 and 27
  List after swap: [-49, 27, 67, 83, 75, 57, 41, 84, 95]
  Compare 67 and 83
  No swap needed
  Compare 83 and 75
  Swap 83 and 75
  List after swap: [-49, 27, 67, 75, 83, 57, 41, 84, 95]
  Compare 83 and 57
  Swap 83 and 57
  List after swap: [-49, 27, 67, 75, 57, 83, 41, 84, 95]
  Compare 83 and 41
  Swap 83 and 41
  List after swap: [-49, 27, 67, 75, 57, 41, 83, 84, 95]

Pass 4:
  Compare -49 and 27
  No swap needed
  Compare 27 and 67
  No swap needed
  Compare 67 and 75
  No swap needed
  Compare 75 and 57
  Swap 75 and 57
  List after swap: [-49, 27, 67, 57, 75, 41, 83, 84, 95]
  Compare 75 and 41
  Swap 75 and 41
  List after swap: [-49, 27, 67, 57, 41, 75, 83, 84, 95]

Pass 5:
  Compare -49 and 27
  No swap needed
  Compare 27 and 67
  No swap needed
  Compare 67 and 57
  Swap 67 and 57
  List after swap: [-49, 27, 57, 67, 41, 75, 83, 84, 95]
  Compare 67 and 41
  Swap 67 and 41
  List after swap: [-49, 27, 57, 41, 67, 75, 83, 84, 95]

Pass 6:
  Compare -49 and 27
  No swap needed
  Compare 27 and 57
  No swap needed
  Compare 57 and 41
  Swap 57 and 41
  List after swap: [-49, 27, 41, 57, 67, 75, 83, 84, 95]

Pass 7:
  Compare -49 and 27
  No swap needed
  Compare 27 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, 27, 41, 57, 67, 75, 83, 84, 95]
</think>

<response>-49, 27, 41, 57, 67, 75, 83, 84, 95</response>


input: Demonstrate how bubble sort orders the integers 64, 70, -74, 54, 71, 0, 51 in ascending sequence, showing all steps.

output:
<think>
Initial list: [64, 70, -74, 54, 71, 0, 51]

Pass 1:
  Compare 64 and 70
  No swap needed
  Compare 70 and -74
  Swap 70 and -74
  List after swap: [64, -74, 70, 54, 71, 0, 51]
  Compare 70 and 54
  Swap 70 and 54
  List after swap: [64, -74, 54, 70, 71, 0, 51]
  Compare 70 and 71
  No swap needed
  Compare 71 and 0
  Swap 71 and 0
  List after swap: [64, -74, 54, 70, 0, 71, 51]
  Compare 71 and 51
  Swap 71 and 51
  List after swap: [64, -74, 54, 70, 0, 51, 71]

Pass 2:
  Compare 64 and -74
  Swap 64 and -74
  List after swap: [-74, 64, 54, 70, 0, 51, 71]
  Compare 64 and 54
  Swap 64 and 54
  List after swap: [-74, 54, 64, 70, 0, 51, 71]
  Compare 64 and 70
  No swap needed
  Compare 70 and 0
  Swap 70 and 0
  List after swap: [-74, 54, 64, 0, 70, 51, 71]
  Compare 70 and 51
  Swap 70 and 51
  List after swap: [-74, 54, 64, 0, 51, 70, 71]

Pass 3:
  Compare -74 and 54
  No swap needed
  Compare 54 and 64
  No swap needed
  Compare 64 and 0
  Swap 64 and 0
  List after swap: [-74, 54, 0, 64, 51, 70, 71]
  Compare 64 and 51
  Swap 64 and 51
  List after swap: [-74, 54, 0, 51, 64, 70, 71]

Pass 4:
  Compare -74 and 54
  No swap needed
  Compare 54 and 0
  Swap 54 and 0
  List after swap: [-74, 0, 54, 51, 64, 70, 71]
  Compare 54 and 51
  Swap 54 and 51
  List after swap: [-74, 0, 51, 54, 64, 70, 71]

Pass 5:
  Compare -74 and 0
  No swap needed
  Compare 0 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, 0, 51, 54, 64, 70, 71]
</think>

<response>-74, 0, 51, 54, 64, 70, 71</response>


input: Execute bubble sort to sort -26, -30, 39, 3 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-26, -30, 39, 3]

Pass 1:
  Compare -26 and -30
  Swap -26 and -30
  List after swap: [-30, -26, 39, 3]
  Compare -26 and 39
  No swap needed
  Compare 39 and 3
  Swap 39 and 3
  List after swap: [-30, -26, 3, 39]

Pass 2:
  Compare -30 and -26
  No swap needed
  Compare -26 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -26, 3, 39]
</think>

<response>-30, -26, 3, 39</response>


input: Implement bubble sort on 81, -46, 26, 73, 19, -74, 48, -69 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [81, -46, 26, 73, 19, -74, 48, -69]

Pass 1:
  Compare 81 and -46
  Swap 81 and -46
  List after swap: [-46, 81, 26, 73, 19, -74, 48, -69]
  Compare 81 and 26
  Swap 81 and 26
  List after swap: [-46, 26, 81, 73, 19, -74, 48, -69]
  Compare 81 and 73
  Swap 81 and 73
  List after swap: [-46, 26, 73, 81, 19, -74, 48, -69]
  Compare 81 and 19
  Swap 81 and 19
  List after swap: [-46, 26, 73, 19, 81, -74, 48, -69]
  Compare 81 and -74
  Swap 81 and -74
  List after swap: [-46, 26, 73, 19, -74, 81, 48, -69]
  Compare 81 and 48
  Swap 81 and 48
  List after swap: [-46, 26, 73, 19, -74, 48, 81, -69]
  Compare 81 and -69
  Swap 81 and -69
  List after swap: [-46, 26, 73, 19, -74, 48, -69, 81]

Pass 2:
  Compare -46 and 26
  No swap needed
  Compare 26 and 73
  No swap needed
  Compare 73 and 19
  Swap 73 and 19
  List after swap: [-46, 26, 19, 73, -74, 48, -69, 81]
  Compare 73 and -74
  Swap 73 and -74
  List after swap: [-46, 26, 19, -74, 73, 48, -69, 81]
  Compare 73 and 48
  Swap 73 and 48
  List after swap: [-46, 26, 19, -74, 48, 73, -69, 81]
  Compare 73 and -69
  Swap 73 and -69
  List after swap: [-46, 26, 19, -74, 48, -69, 73, 81]

Pass 3:
  Compare -46 and 26
  No swap needed
  Compare 26 and 19
  Swap 26 and 19
  List after swap: [-46, 19, 26, -74, 48, -69, 73, 81]
  Compare 26 and -74
  Swap 26 and -74
  List after swap: [-46, 19, -74, 26, 48, -69, 73, 81]
  Compare 26 and 48
  No swap needed
  Compare 48 and -69
  Swap 48 and -69
  List after swap: [-46, 19, -74, 26, -69, 48, 73, 81]

Pass 4:
  Compare -46 and 19
  No swap needed
  Compare 19 and -74
  Swap 19 and -74
  List after swap: [-46, -74, 19, 26, -69, 48, 73, 81]
  Compare 19 and 26
  No swap needed
  Compare 26 and -69
  Swap 26 and -69
  List after swap: [-46, -74, 19, -69, 26, 48, 73, 81]

Pass 5:
  Compare -46 and -74
  Swap -46 and -74
  List after swap: [-74, -46, 19, -69, 26, 48, 73, 81]
  Compare -46 and 19
  No swap needed
  Compare 19 and -69
  Swap 19 and -69
  List after swap: [-74, -46, -69, 19, 26, 48, 73, 81]

Pass 6:
  Compare -74 and -46
  No swap needed
  Compare -46 and -69
  Swap -46 and -69
  List after swap: [-74, -69, -46, 19, 26, 48, 73, 81]

Pass 7:
  Compare -74 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -69, -46, 19, 26, 48, 73, 81]
</think>

<response>-74, -69, -46, 19, 26, 48, 73, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 15, -96, -5, 87, 98, 60, 2, 96, -97.

output:
<think>
Initial list: [15, -96, -5, 87, 98, 60, 2, 96, -97]

Pass 1:
  Compare 15 and -96
  Swap 15 and -96
  List after swap: [-96, 15, -5, 87, 98, 60, 2, 96, -97]
  Compare 15 and -5
  Swap 15 and -5
  List after swap: [-96, -5, 15, 87, 98, 60, 2, 96, -97]
  Compare 15 and 87
  No swap needed
  Compare 87 and 98
  No swap needed
  Compare 98 and 60
  Swap 98 and 60
  List after swap: [-96, -5, 15, 87, 60, 98, 2, 96, -97]
  Compare 98 and 2
  Swap 98 and 2
  List after swap: [-96, -5, 15, 87, 60, 2, 98, 96, -97]
  Compare 98 and 96
  Swap 98 and 96
  List after swap: [-96, -5, 15, 87, 60, 2, 96, 98, -97]
  Compare 98 and -97
  Swap 98 and -97
  List after swap: [-96, -5, 15, 87, 60, 2, 96, -97, 98]

Pass 2:
  Compare -96 and -5
  No swap needed
  Compare -5 and 15
  No swap needed
  Compare 15 and 87
  No swap needed
  Compare 87 and 60
  Swap 87 and 60
  List after swap: [-96, -5, 15, 60, 87, 2, 96, -97, 98]
  Compare 87 and 2
  Swap 87 and 2
  List after swap: [-96, -5, 15, 60, 2, 87, 96, -97, 98]
  Compare 87 and 96
  No swap needed
  Compare 96 and -97
  Swap 96 and -97
  List after swap: [-96, -5, 15, 60, 2, 87, -97, 96, 98]

Pass 3:
  Compare -96 and -5
  No swap needed
  Compare -5 and 15
  No swap needed
  Compare 15 and 60
  No swap needed
  Compare 60 and 2
  Swap 60 and 2
  List after swap: [-96, -5, 15, 2, 60, 87, -97, 96, 98]
  Compare 60 and 87
  No swap needed
  Compare 87 and -97
  Swap 87 and -97
  List after swap: [-96, -5, 15, 2, 60, -97, 87, 96, 98]

Pass 4:
  Compare -96 and -5
  No swap needed
  Compare -5 and 15
  No swap needed
  Compare 15 and 2
  Swap 15 and 2
  List after swap: [-96, -5, 2, 15, 60, -97, 87, 96, 98]
  Compare 15 and 60
  No swap needed
  Compare 60 and -97
  Swap 60 and -97
  List after swap: [-96, -5, 2, 15, -97, 60, 87, 96, 98]

Pass 5:
  Compare -96 and -5
  No swap needed
  Compare -5 and 2
  No swap needed
  Compare 2 and 15
  No swap needed
  Compare 15 and -97
  Swap 15 and -97
  List after swap: [-96, -5, 2, -97, 15, 60, 87, 96, 98]

Pass 6:
  Compare -96 and -5
  No swap needed
  Compare -5 and 2
  No swap needed
  Compare 2 and -97
  Swap 2 and -97
  List after swap: [-96, -5, -97, 2, 15, 60, 87, 96, 98]

Pass 7:
  Compare -96 and -5
  No swap needed
  Compare -5 and -97
  Swap -5 and -97
  List after swap: [-96, -97, -5, 2, 15, 60, 87, 96, 98]

Pass 8:
  Compare -96 and -97
  Swap -96 and -97
  List after swap: [-97, -96, -5, 2, 15, 60, 87, 96, 98]

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

Final sorted list: [-97, -96, -5, 2, 15, 60, 87, 96, 98]
</think>

<response>-97, -96, -5, 2, 15, 60, 87, 96, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 8, 6, -50, -33, 26, 56, -16.

output:
<think>
Initial list: [8, 6, -50, -33, 26, 56, -16]

Pass 1:
  Compare 8 and 6
  Swap 8 and 6
  List after swap: [6, 8, -50, -33, 26, 56, -16]
  Compare 8 and -50
  Swap 8 and -50
  List after swap: [6, -50, 8, -33, 26, 56, -16]
  Compare 8 and -33
  Swap 8 and -33
  List after swap: [6, -50, -33, 8, 26, 56, -16]
  Compare 8 and 26
  No swap needed
  Compare 26 and 56
  No swap needed
  Compare 56 and -16
  Swap 56 and -16
  List after swap: [6, -50, -33, 8, 26, -16, 56]

Pass 2:
  Compare 6 and -50
  Swap 6 and -50
  List after swap: [-50, 6, -33, 8, 26, -16, 56]
  Compare 6 and -33
  Swap 6 and -33
  List after swap: [-50, -33, 6, 8, 26, -16, 56]
  Compare 6 and 8
  No swap needed
  Compare 8 and 26
  No swap needed
  Compare 26 and -16
  Swap 26 and -16
  List after swap: [-50, -33, 6, 8, -16, 26, 56]

Pass 3:
  Compare -50 and -33
  No swap needed
  Compare -33 and 6
  No swap needed
  Compare 6 and 8
  No swap needed
  Compare 8 and -16
  Swap 8 and -16
  List after swap: [-50, -33, 6, -16, 8, 26, 56]

Pass 4:
  Compare -50 and -33
  No swap needed
  Compare -33 and 6
  No swap needed
  Compare 6 and -16
  Swap 6 and -16
  List after swap: [-50, -33, -16, 6, 8, 26, 56]

Pass 5:
  Compare -50 and -33
  No swap needed
  Compare -33 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -33, -16, 6, 8, 26, 56]
</think>

<response>-50, -33, -16, 6, 8, 26, 56</response>


input: Arrange the numbers 62, -94, -88, -49, -5 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [62, -94, -88, -49, -5]

Pass 1:
  Compare 62 and -94
  Swap 62 and -94
  List after swap: [-94, 62, -88, -49, -5]
  Compare 62 and -88
  Swap 62 and -88
  List after swap: [-94, -88, 62, -49, -5]
  Compare 62 and -49
  Swap 62 and -49
  List after swap: [-94, -88, -49, 62, -5]
  Compare 62 and -5
  Swap 62 and -5
  List after swap: [-94, -88, -49, -5, 62]

Pass 2:
  Compare -94 and -88
  No swap needed
  Compare -88 and -49
  No swap needed
  Compare -49 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -88, -49, -5, 62]
</think>

<response>-94, -88, -49, -5, 62</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 28, 71, -45, 6, -64, 9, 84, 56, -1, -24.

output:
<think>
Initial list: [28, 71, -45, 6, -64, 9, 84, 56, -1, -24]

Pass 1:
  Compare 28 and 71
  No swap needed
  Compare 71 and -45
  Swap 71 and -45
  List after swap: [28, -45, 71, 6, -64, 9, 84, 56, -1, -24]
  Compare 71 and 6
  Swap 71 and 6
  List after swap: [28, -45, 6, 71, -64, 9, 84, 56, -1, -24]
  Compare 71 and -64
  Swap 71 and -64
  List after swap: [28, -45, 6, -64, 71, 9, 84, 56, -1, -24]
  Compare 71 and 9
  Swap 71 and 9
  List after swap: [28, -45, 6, -64, 9, 71, 84, 56, -1, -24]
  Compare 71 and 84
  No swap needed
  Compare 84 and 56
  Swap 84 and 56
  List after swap: [28, -45, 6, -64, 9, 71, 56, 84, -1, -24]
  Compare 84 and -1
  Swap 84 and -1
  List after swap: [28, -45, 6, -64, 9, 71, 56, -1, 84, -24]
  Compare 84 and -24
  Swap 84 and -24
  List after swap: [28, -45, 6, -64, 9, 71, 56, -1, -24, 84]

Pass 2:
  Compare 28 and -45
  Swap 28 and -45
  List after swap: [-45, 28, 6, -64, 9, 71, 56, -1, -24, 84]
  Compare 28 and 6
  Swap 28 and 6
  List after swap: [-45, 6, 28, -64, 9, 71, 56, -1, -24, 84]
  Compare 28 and -64
  Swap 28 and -64
  List after swap: [-45, 6, -64, 28, 9, 71, 56, -1, -24, 84]
  Compare 28 and 9
  Swap 28 and 9
  List after swap: [-45, 6, -64, 9, 28, 71, 56, -1, -24, 84]
  Compare 28 and 71
  No swap needed
  Compare 71 and 56
  Swap 71 and 56
  List after swap: [-45, 6, -64, 9, 28, 56, 71, -1, -24, 84]
  Compare 71 and -1
  Swap 71 and -1
  List after swap: [-45, 6, -64, 9, 28, 56, -1, 71, -24, 84]
  Compare 71 and -24
  Swap 71 and -24
  List after swap: [-45, 6, -64, 9, 28, 56, -1, -24, 71, 84]

Pass 3:
  Compare -45 and 6
  No swap needed
  Compare 6 and -64
  Swap 6 and -64
  List after swap: [-45, -64, 6, 9, 28, 56, -1, -24, 71, 84]
  Compare 6 and 9
  No swap needed
  Compare 9 and 28
  No swap needed
  Compare 28 and 56
  No swap needed
  Compare 56 and -1
  Swap 56 and -1
  List after swap: [-45, -64, 6, 9, 28, -1, 56, -24, 71, 84]
  Compare 56 and -24
  Swap 56 and -24
  List after swap: [-45, -64, 6, 9, 28, -1, -24, 56, 71, 84]

Pass 4:
  Compare -45 and -64
  Swap -45 and -64
  List after swap: [-64, -45, 6, 9, 28, -1, -24, 56, 71, 84]
  Compare -45 and 6
  No swap needed
  Compare 6 and 9
  No swap needed
  Compare 9 and 28
  No swap needed
  Compare 28 and -1
  Swap 28 and -1
  List after swap: [-64, -45, 6, 9, -1, 28, -24, 56, 71, 84]
  Compare 28 and -24
  Swap 28 and -24
  List after swap: [-64, -45, 6, 9, -1, -24, 28, 56, 71, 84]

Pass 5:
  Compare -64 and -45
  No swap needed
  Compare -45 and 6
  No swap needed
  Compare 6 and 9
  No swap needed
  Compare 9 and -1
  Swap 9 and -1
  List after swap: [-64, -45, 6, -1, 9, -24, 28, 56, 71, 84]
  Compare 9 and -24
  Swap 9 and -24
  List after swap: [-64, -45, 6, -1, -24, 9, 28, 56, 71, 84]

Pass 6:
  Compare -64 and -45
  No swap needed
  Compare -45 and 6
  No swap needed
  Compare 6 and -1
  Swap 6 and -1
  List after swap: [-64, -45, -1, 6, -24, 9, 28, 56, 71, 84]
  Compare 6 and -24
  Swap 6 and -24
  List after swap: [-64, -45, -1, -24, 6, 9, 28, 56, 71, 84]

Pass 7:
  Compare -64 and -45
  No swap needed
  Compare -45 and -1
  No swap needed
  Compare -1 and -24
  Swap -1 and -24
  List after swap: [-64, -45, -24, -1, 6, 9, 28, 56, 71, 84]

Pass 8:
  Compare -64 and -45
  No swap needed
  Compare -45 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -45, -24, -1, 6, 9, 28, 56, 71, 84]
</think>

<response>-64, -45, -24, -1, 6, 9, 28, 56, 71, 84</response>


input: Arrange the numbers 4, -73, -98, -65, -29, 76, 12, -83, 31, 16 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [4, -73, -98, -65, -29, 76, 12, -83, 31, 16]

Pass 1:
  Compare 4 and -73
  Swap 4 and -73
  List after swap: [-73, 4, -98, -65, -29, 76, 12, -83, 31, 16]
  Compare 4 and -98
  Swap 4 and -98
  List after swap: [-73, -98, 4, -65, -29, 76, 12, -83, 31, 16]
  Compare 4 and -65
  Swap 4 and -65
  List after swap: [-73, -98, -65, 4, -29, 76, 12, -83, 31, 16]
  Compare 4 and -29
  Swap 4 and -29
  List after swap: [-73, -98, -65, -29, 4, 76, 12, -83, 31, 16]
  Compare 4 and 76
  No swap needed
  Compare 76 and 12
  Swap 76 and 12
  List after swap: [-73, -98, -65, -29, 4, 12, 76, -83, 31, 16]
  Compare 76 and -83
  Swap 76 and -83
  List after swap: [-73, -98, -65, -29, 4, 12, -83, 76, 31, 16]
  Compare 76 and 31
  Swap 76 and 31
  List after swap: [-73, -98, -65, -29, 4, 12, -83, 31, 76, 16]
  Compare 76 and 16
  Swap 76 and 16
  List after swap: [-73, -98, -65, -29, 4, 12, -83, 31, 16, 76]

Pass 2:
  Compare -73 and -98
  Swap -73 and -98
  List after swap: [-98, -73, -65, -29, 4, 12, -83, 31, 16, 76]
  Compare -73 and -65
  No swap needed
  Compare -65 and -29
  No swap needed
  Compare -29 and 4
  No swap needed
  Compare 4 and 12
  No swap needed
  Compare 12 and -83
  Swap 12 and -83
  List after swap: [-98, -73, -65, -29, 4, -83, 12, 31, 16, 76]
  Compare 12 and 31
  No swap needed
  Compare 31 and 16
  Swap 31 and 16
  List after swap: [-98, -73, -65, -29, 4, -83, 12, 16, 31, 76]

Pass 3:
  Compare -98 and -73
  No swap needed
  Compare -73 and -65
  No swap needed
  Compare -65 and -29
  No swap needed
  Compare -29 and 4
  No swap needed
  Compare 4 and -83
  Swap 4 and -83
  List after swap: [-98, -73, -65, -29, -83, 4, 12, 16, 31, 76]
  Compare 4 and 12
  No swap needed
  Compare 12 and 16
  No swap needed

Pass 4:
  Compare -98 and -73
  No swap needed
  Compare -73 and -65
  No swap needed
  Compare -65 and -29
  No swap needed
  Compare -29 and -83
  Swap -29 and -83
  List after swap: [-98, -73, -65, -83, -29, 4, 12, 16, 31, 76]
  Compare -29 and 4
  No swap needed
  Compare 4 and 12
  No swap needed

Pass 5:
  Compare -98 and -73
  No swap needed
  Compare -73 and -65
  No swap needed
  Compare -65 and -83
  Swap -65 and -83
  List after swap: [-98, -73, -83, -65, -29, 4, 12, 16, 31, 76]
  Compare -65 and -29
  No swap needed
  Compare -29 and 4
  No swap needed

Pass 6:
  Compare -98 and -73
  No swap needed
  Compare -73 and -83
  Swap -73 and -83
  List after swap: [-98, -83, -73, -65, -29, 4, 12, 16, 31, 76]
  Compare -73 and -65
  No swap needed
  Compare -65 and -29
  No swap needed

Pass 7:
  Compare -98 and -83
  No swap needed
  Compare -83 and -73
  No swap needed
  Compare -73 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -83, -73, -65, -29, 4, 12, 16, 31, 76]
</think>

<response>-98, -83, -73, -65, -29, 4, 12, 16, 31, 76</response>


input: Implement bubble sort on -36, -89, 39, 67, -27, 4, 57, 92, 0, -71 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-36, -89, 39, 67, -27, 4, 57, 92, 0, -71]

Pass 1:
  Compare -36 and -89
  Swap -36 and -89
  List after swap: [-89, -36, 39, 67, -27, 4, 57, 92, 0, -71]
  Compare -36 and 39
  No swap needed
  Compare 39 and 67
  No swap needed
  Compare 67 and -27
  Swap 67 and -27
  List after swap: [-89, -36, 39, -27, 67, 4, 57, 92, 0, -71]
  Compare 67 and 4
  Swap 67 and 4
  List after swap: [-89, -36, 39, -27, 4, 67, 57, 92, 0, -71]
  Compare 67 and 57
  Swap 67 and 57
  List after swap: [-89, -36, 39, -27, 4, 57, 67, 92, 0, -71]
  Compare 67 and 92
  No swap needed
  Compare 92 and 0
  Swap 92 and 0
  List after swap: [-89, -36, 39, -27, 4, 57, 67, 0, 92, -71]
  Compare 92 and -71
  Swap 92 and -71
  List after swap: [-89, -36, 39, -27, 4, 57, 67, 0, -71, 92]

Pass 2:
  Compare -89 and -36
  No swap needed
  Compare -36 and 39
  No swap needed
  Compare 39 and -27
  Swap 39 and -27
  List after swap: [-89, -36, -27, 39, 4, 57, 67, 0, -71, 92]
  Compare 39 and 4
  Swap 39 and 4
  List after swap: [-89, -36, -27, 4, 39, 57, 67, 0, -71, 92]
  Compare 39 and 57
  No swap needed
  Compare 57 and 67
  No swap needed
  Compare 67 and 0
  Swap 67 and 0
  List after swap: [-89, -36, -27, 4, 39, 57, 0, 67, -71, 92]
  Compare 67 and -71
  Swap 67 and -71
  List after swap: [-89, -36, -27, 4, 39, 57, 0, -71, 67, 92]

Pass 3:
  Compare -89 and -36
  No swap needed
  Compare -36 and -27
  No swap needed
  Compare -27 and 4
  No swap needed
  Compare 4 and 39
  No swap needed
  Compare 39 and 57
  No swap needed
  Compare 57 and 0
  Swap 57 and 0
  List after swap: [-89, -36, -27, 4, 39, 0, 57, -71, 67, 92]
  Compare 57 and -71
  Swap 57 and -71
  List after swap: [-89, -36, -27, 4, 39, 0, -71, 57, 67, 92]

Pass 4:
  Compare -89 and -36
  No swap needed
  Compare -36 and -27
  No swap needed
  Compare -27 and 4
  No swap needed
  Compare 4 and 39
  No swap needed
  Compare 39 and 0
  Swap 39 and 0
  List after swap: [-89, -36, -27, 4, 0, 39, -71, 57, 67, 92]
  Compare 39 and -71
  Swap 39 and -71
  List after swap: [-89, -36, -27, 4, 0, -71, 39, 57, 67, 92]

Pass 5:
  Compare -89 and -36
  No swap needed
  Compare -36 and -27
  No swap needed
  Compare -27 and 4
  No swap needed
  Compare 4 and 0
  Swap 4 and 0
  List after swap: [-89, -36, -27, 0, 4, -71, 39, 57, 67, 92]
  Compare 4 and -71
  Swap 4 and -71
  List after swap: [-89, -36, -27, 0, -71, 4, 39, 57, 67, 92]

Pass 6:
  Compare -89 and -36
  No swap needed
  Compare -36 and -27
  No swap needed
  Compare -27 and 0
  No swap needed
  Compare 0 and -71
  Swap 0 and -71
  List after swap: [-89, -36, -27, -71, 0, 4, 39, 57, 67, 92]

Pass 7:
  Compare -89 and -36
  No swap needed
  Compare -36 and -27
  No swap needed
  Compare -27 and -71
  Swap -27 and -71
  List after swap: [-89, -36, -71, -27, 0, 4, 39, 57, 67, 92]

Pass 8:
  Compare -89 and -36
  No swap needed
  Compare -36 and -71
  Swap -36 and -71
  List after swap: [-89, -71, -36, -27, 0, 4, 39, 57, 67, 92]

Pass 9:
  Compare -89 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -71, -36, -27, 0, 4, 39, 57, 67, 92]
</think>

<response>-89, -71, -36, -27, 0, 4, 39, 57, 67, 92</response>


input: Sort the list 8, 51, -18, -51 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [8, 51, -18, -51]

Pass 1:
  Compare 8 and 51
  No swap needed
  Compare 51 and -18
  Swap 51 and -18
  List after swap: [8, -18, 51, -51]
  Compare 51 and -51
  Swap 51 and -51
  List after swap: [8, -18, -51, 51]

Pass 2:
  Compare 8 and -18
  Swap 8 and -18
  List after swap: [-18, 8, -51, 51]
  Compare 8 and -51
  Swap 8 and -51
  List after swap: [-18, -51, 8, 51]

Pass 3:
  Compare -18 and -51
  Swap -18 and -51
  List after swap: [-51, -18, 8, 51]

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

Final sorted list: [-51, -18, 8, 51]
</think>

<response>-51, -18, 8, 51</response>


input: Demonstrate how bubble sort orders the integers -40, 62, -2, -58, -19, -33, 42 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-40, 62, -2, -58, -19, -33, 42]

Pass 1:
  Compare -40 and 62
  No swap needed
  Compare 62 and -2
  Swap 62 and -2
  List after swap: [-40, -2, 62, -58, -19, -33, 42]
  Compare 62 and -58
  Swap 62 and -58
  List after swap: [-40, -2, -58, 62, -19, -33, 42]
  Compare 62 and -19
  Swap 62 and -19
  List after swap: [-40, -2, -58, -19, 62, -33, 42]
  Compare 62 and -33
  Swap 62 and -33
  List after swap: [-40, -2, -58, -19, -33, 62, 42]
  Compare 62 and 42
  Swap 62 and 42
  List after swap: [-40, -2, -58, -19, -33, 42, 62]

Pass 2:
  Compare -40 and -2
  No swap needed
  Compare -2 and -58
  Swap -2 and -58
  List after swap: [-40, -58, -2, -19, -33, 42, 62]
  Compare -2 and -19
  Swap -2 and -19
  List after swap: [-40, -58, -19, -2, -33, 42, 62]
  Compare -2 and -33
  Swap -2 and -33
  List after swap: [-40, -58, -19, -33, -2, 42, 62]
  Compare -2 and 42
  No swap needed

Pass 3:
  Compare -40 and -58
  Swap -40 and -58
  List after swap: [-58, -40, -19, -33, -2, 42, 62]
  Compare -40 and -19
  No swap needed
  Compare -19 and -33
  Swap -19 and -33
  List after swap: [-58, -40, -33, -19, -2, 42, 62]
  Compare -19 and -2
  No swap needed

Pass 4:
  Compare -58 and -40
  No swap needed
  Compare -40 and -33
  No swap needed
  Compare -33 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -40, -33, -19, -2, 42, 62]
</think>

<response>-58, -40, -33, -19, -2, 42, 62</response>


input: Arrange the numbers 97, 85, 99, 47, 87, 30, 18 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [97, 85, 99, 47, 87, 30, 18]

Pass 1:
  Compare 97 and 85
  Swap 97 and 85
  List after swap: [85, 97, 99, 47, 87, 30, 18]
  Compare 97 and 99
  No swap needed
  Compare 99 and 47
  Swap 99 and 47
  List after swap: [85, 97, 47, 99, 87, 30, 18]
  Compare 99 and 87
  Swap 99 and 87
  List after swap: [85, 97, 47, 87, 99, 30, 18]
  Compare 99 and 30
  Swap 99 and 30
  List after swap: [85, 97, 47, 87, 30, 99, 18]
  Compare 99 and 18
  Swap 99 and 18
  List after swap: [85, 97, 47, 87, 30, 18, 99]

Pass 2:
  Compare 85 and 97
  No swap needed
  Compare 97 and 47
  Swap 97 and 47
  List after swap: [85, 47, 97, 87, 30, 18, 99]
  Compare 97 and 87
  Swap 97 and 87
  List after swap: [85, 47, 87, 97, 30, 18, 99]
  Compare 97 and 30
  Swap 97 and 30
  List after swap: [85, 47, 87, 30, 97, 18, 99]
  Compare 97 and 18
  Swap 97 and 18
  List after swap: [85, 47, 87, 30, 18, 97, 99]

Pass 3:
  Compare 85 and 47
  Swap 85 and 47
  List after swap: [47, 85, 87, 30, 18, 97, 99]
  Compare 85 and 87
  No swap needed
  Compare 87 and 30
  Swap 87 and 30
  List after swap: [47, 85, 30, 87, 18, 97, 99]
  Compare 87 and 18
  Swap 87 and 18
  List after swap: [47, 85, 30, 18, 87, 97, 99]

Pass 4:
  Compare 47 and 85
  No swap needed
  Compare 85 and 30
  Swap 85 and 30
  List after swap: [47, 30, 85, 18, 87, 97, 99]
  Compare 85 and 18
  Swap 85 and 18
  List after swap: [47, 30, 18, 85, 87, 97, 99]

Pass 5:
  Compare 47 and 30
  Swap 47 and 30
  List after swap: [30, 47, 18, 85, 87, 97, 99]
  Compare 47 and 18
  Swap 47 and 18
  List after swap: [30, 18, 47, 85, 87, 97, 99]

Pass 6:
  Compare 30 and 18
  Swap 30 and 18
  List after swap: [18, 30, 47, 85, 87, 97, 99]

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

Final sorted list: [18, 30, 47, 85, 87, 97, 99]
</think>

<response>18, 30, 47, 85, 87, 97, 99</response>


input: Execute bubble sort to sort -64, 58, 80, -67, -5, 61, 39, -41 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-64, 58, 80, -67, -5, 61, 39, -41]

Pass 1:
  Compare -64 and 58
  No swap needed
  Compare 58 and 80
  No swap needed
  Compare 80 and -67
  Swap 80 and -67
  List after swap: [-64, 58, -67, 80, -5, 61, 39, -41]
  Compare 80 and -5
  Swap 80 and -5
  List after swap: [-64, 58, -67, -5, 80, 61, 39, -41]
  Compare 80 and 61
  Swap 80 and 61
  List after swap: [-64, 58, -67, -5, 61, 80, 39, -41]
  Compare 80 and 39
  Swap 80 and 39
  List after swap: [-64, 58, -67, -5, 61, 39, 80, -41]
  Compare 80 and -41
  Swap 80 and -41
  List after swap: [-64, 58, -67, -5, 61, 39, -41, 80]

Pass 2:
  Compare -64 and 58
  No swap needed
  Compare 58 and -67
  Swap 58 and -67
  List after swap: [-64, -67, 58, -5, 61, 39, -41, 80]
  Compare 58 and -5
  Swap 58 and -5
  List after swap: [-64, -67, -5, 58, 61, 39, -41, 80]
  Compare 58 and 61
  No swap needed
  Compare 61 and 39
  Swap 61 and 39
  List after swap: [-64, -67, -5, 58, 39, 61, -41, 80]
  Compare 61 and -41
  Swap 61 and -41
  List after swap: [-64, -67, -5, 58, 39, -41, 61, 80]

Pass 3:
  Compare -64 and -67
  Swap -64 and -67
  List after swap: [-67, -64, -5, 58, 39, -41, 61, 80]
  Compare -64 and -5
  No swap needed
  Compare -5 and 58
  No swap needed
  Compare 58 and 39
  Swap 58 and 39
  List after swap: [-67, -64, -5, 39, 58, -41, 61, 80]
  Compare 58 and -41
  Swap 58 and -41
  List after swap: [-67, -64, -5, 39, -41, 58, 61, 80]

Pass 4:
  Compare -67 and -64
  No swap needed
  Compare -64 and -5
  No swap needed
  Compare -5 and 39
  No swap needed
  Compare 39 and -41
  Swap 39 and -41
  List after swap: [-67, -64, -5, -41, 39, 58, 61, 80]

Pass 5:
  Compare -67 and -64
  No swap needed
  Compare -64 and -5
  No swap needed
  Compare -5 and -41
  Swap -5 and -41
  List after swap: [-67, -64, -41, -5, 39, 58, 61, 80]

Pass 6:
  Compare -67 and -64
  No swap needed
  Compare -64 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -64, -41, -5, 39, 58, 61, 80]
</think>

<response>-67, -64, -41, -5, 39, 58, 61, 80</response>


input: Perform a bubble sort on the integers -34, 38, -48, -51, -9, 85, -92, 70, -84, -98, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-34, 38, -48, -51, -9, 85, -92, 70, -84, -98]

Pass 1:
  Compare -34 and 38
  No swap needed
  Compare 38 and -48
  Swap 38 and -48
  List after swap: [-34, -48, 38, -51, -9, 85, -92, 70, -84, -98]
  Compare 38 and -51
  Swap 38 and -51
  List after swap: [-34, -48, -51, 38, -9, 85, -92, 70, -84, -98]
  Compare 38 and -9
  Swap 38 and -9
  List after swap: [-34, -48, -51, -9, 38, 85, -92, 70, -84, -98]
  Compare 38 and 85
  No swap needed
  Compare 85 and -92
  Swap 85 and -92
  List after swap: [-34, -48, -51, -9, 38, -92, 85, 70, -84, -98]
  Compare 85 and 70
  Swap 85 and 70
  List after swap: [-34, -48, -51, -9, 38, -92, 70, 85, -84, -98]
  Compare 85 and -84
  Swap 85 and -84
  List after swap: [-34, -48, -51, -9, 38, -92, 70, -84, 85, -98]
  Compare 85 and -98
  Swap 85 and -98
  List after swap: [-34, -48, -51, -9, 38, -92, 70, -84, -98, 85]

Pass 2:
  Compare -34 and -48
  Swap -34 and -48
  List after swap: [-48, -34, -51, -9, 38, -92, 70, -84, -98, 85]
  Compare -34 and -51
  Swap -34 and -51
  List after swap: [-48, -51, -34, -9, 38, -92, 70, -84, -98, 85]
  Compare -34 and -9
  No swap needed
  Compare -9 and 38
  No swap needed
  Compare 38 and -92
  Swap 38 and -92
  List after swap: [-48, -51, -34, -9, -92, 38, 70, -84, -98, 85]
  Compare 38 and 70
  No swap needed
  Compare 70 and -84
  Swap 70 and -84
  List after swap: [-48, -51, -34, -9, -92, 38, -84, 70, -98, 85]
  Compare 70 and -98
  Swap 70 and -98
  List after swap: [-48, -51, -34, -9, -92, 38, -84, -98, 70, 85]

Pass 3:
  Compare -48 and -51
  Swap -48 and -51
  List after swap: [-51, -48, -34, -9, -92, 38, -84, -98, 70, 85]
  Compare -48 and -34
  No swap needed
  Compare -34 and -9
  No swap needed
  Compare -9 and -92
  Swap -9 and -92
  List after swap: [-51, -48, -34, -92, -9, 38, -84, -98, 70, 85]
  Compare -9 and 38
  No swap needed
  Compare 38 and -84
  Swap 38 and -84
  List after swap: [-51, -48, -34, -92, -9, -84, 38, -98, 70, 85]
  Compare 38 and -98
  Swap 38 and -98
  List after swap: [-51, -48, -34, -92, -9, -84, -98, 38, 70, 85]

Pass 4:
  Compare -51 and -48
  No swap needed
  Compare -48 and -34
  No swap needed
  Compare -34 and -92
  Swap -34 and -92
  List after swap: [-51, -48, -92, -34, -9, -84, -98, 38, 70, 85]
  Compare -34 and -9
  No swap needed
  Compare -9 and -84
  Swap -9 and -84
  List after swap: [-51, -48, -92, -34, -84, -9, -98, 38, 70, 85]
  Compare -9 and -98
  Swap -9 and -98
  List after swap: [-51, -48, -92, -34, -84, -98, -9, 38, 70, 85]

Pass 5:
  Compare -51 and -48
  No swap needed
  Compare -48 and -92
  Swap -48 and -92
  List after swap: [-51, -92, -48, -34, -84, -98, -9, 38, 70, 85]
  Compare -48 and -34
  No swap needed
  Compare -34 and -84
  Swap -34 and -84
  List after swap: [-51, -92, -48, -84, -34, -98, -9, 38, 70, 85]
  Compare -34 and -98
  Swap -34 and -98
  List after swap: [-51, -92, -48, -84, -98, -34, -9, 38, 70, 85]

Pass 6:
  Compare -51 and -92
  Swap -51 and -92
  List after swap: [-92, -51, -48, -84, -98, -34, -9, 38, 70, 85]
  Compare -51 and -48
  No swap needed
  Compare -48 and -84
  Swap -48 and -84
  List after swap: [-92, -51, -84, -48, -98, -34, -9, 38, 70, 85]
  Compare -48 and -98
  Swap -48 and -98
  List after swap: [-92, -51, -84, -98, -48, -34, -9, 38, 70, 85]

Pass 7:
  Compare -92 and -51
  No swap needed
  Compare -51 and -84
  Swap -51 and -84
  List after swap: [-92, -84, -51, -98, -48, -34, -9, 38, 70, 85]
  Compare -51 and -98
  Swap -51 and -98
  List after swap: [-92, -84, -98, -51, -48, -34, -9, 38, 70, 85]

Pass 8:
  Compare -92 and -84
  No swap needed
  Compare -84 and -98
  Swap -84 and -98
  List after swap: [-92, -98, -84, -51, -48, -34, -9, 38, 70, 85]

Pass 9:
  Compare -92 and -98
  Swap -92 and -98
  List after swap: [-98, -92, -84, -51, -48, -34, -9, 38, 70, 85]

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

Final sorted list: [-98, -92, -84, -51, -48, -34, -9, 38, 70, 85]
</think>

<response>-98, -92, -84, -51, -48, -34, -9, 38, 70, 85</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -15, 31, 20, 65, 36, -48, -51, -86, 50, -56.

output:
<think>
Initial list: [-15, 31, 20, 65, 36, -48, -51, -86, 50, -56]

Pass 1:
  Compare -15 and 31
  No swap needed
  Compare 31 and 20
  Swap 31 and 20
  List after swap: [-15, 20, 31, 65, 36, -48, -51, -86, 50, -56]
  Compare 31 and 65
  No swap needed
  Compare 65 and 36
  Swap 65 and 36
  List after swap: [-15, 20, 31, 36, 65, -48, -51, -86, 50, -56]
  Compare 65 and -48
  Swap 65 and -48
  List after swap: [-15, 20, 31, 36, -48, 65, -51, -86, 50, -56]
  Compare 65 and -51
  Swap 65 and -51
  List after swap: [-15, 20, 31, 36, -48, -51, 65, -86, 50, -56]
  Compare 65 and -86
  Swap 65 and -86
  List after swap: [-15, 20, 31, 36, -48, -51, -86, 65, 50, -56]
  Compare 65 and 50
  Swap 65 and 50
  List after swap: [-15, 20, 31, 36, -48, -51, -86, 50, 65, -56]
  Compare 65 and -56
  Swap 65 and -56
  List after swap: [-15, 20, 31, 36, -48, -51, -86, 50, -56, 65]

Pass 2:
  Compare -15 and 20
  No swap needed
  Compare 20 and 31
  No swap needed
  Compare 31 and 36
  No swap needed
  Compare 36 and -48
  Swap 36 and -48
  List after swap: [-15, 20, 31, -48, 36, -51, -86, 50, -56, 65]
  Compare 36 and -51
  Swap 36 and -51
  List after swap: [-15, 20, 31, -48, -51, 36, -86, 50, -56, 65]
  Compare 36 and -86
  Swap 36 and -86
  List after swap: [-15, 20, 31, -48, -51, -86, 36, 50, -56, 65]
  Compare 36 and 50
  No swap needed
  Compare 50 and -56
  Swap 50 and -56
  List after swap: [-15, 20, 31, -48, -51, -86, 36, -56, 50, 65]

Pass 3:
  Compare -15 and 20
  No swap needed
  Compare 20 and 31
  No swap needed
  Compare 31 and -48
  Swap 31 and -48
  List after swap: [-15, 20, -48, 31, -51, -86, 36, -56, 50, 65]
  Compare 31 and -51
  Swap 31 and -51
  List after swap: [-15, 20, -48, -51, 31, -86, 36, -56, 50, 65]
  Compare 31 and -86
  Swap 31 and -86
  List after swap: [-15, 20, -48, -51, -86, 31, 36, -56, 50, 65]
  Compare 31 and 36
  No swap needed
  Compare 36 and -56
  Swap 36 and -56
  List after swap: [-15, 20, -48, -51, -86, 31, -56, 36, 50, 65]

Pass 4:
  Compare -15 and 20
  No swap needed
  Compare 20 and -48
  Swap 20 and -48
  List after swap: [-15, -48, 20, -51, -86, 31, -56, 36, 50, 65]
  Compare 20 and -51
  Swap 20 and -51
  List after swap: [-15, -48, -51, 20, -86, 31, -56, 36, 50, 65]
  Compare 20 and -86
  Swap 20 and -86
  List after swap: [-15, -48, -51, -86, 20, 31, -56, 36, 50, 65]
  Compare 20 and 31
  No swap needed
  Compare 31 and -56
  Swap 31 and -56
  List after swap: [-15, -48, -51, -86, 20, -56, 31, 36, 50, 65]

Pass 5:
  Compare -15 and -48
  Swap -15 and -48
  List after swap: [-48, -15, -51, -86, 20, -56, 31, 36, 50, 65]
  Compare -15 and -51
  Swap -15 and -51
  List after swap: [-48, -51, -15, -86, 20, -56, 31, 36, 50, 65]
  Compare -15 and -86
  Swap -15 and -86
  List after swap: [-48, -51, -86, -15, 20, -56, 31, 36, 50, 65]
  Compare -15 and 20
  No swap needed
  Compare 20 and -56
  Swap 20 and -56
  List after swap: [-48, -51, -86, -15, -56, 20, 31, 36, 50, 65]

Pass 6:
  Compare -48 and -51
  Swap -48 and -51
  List after swap: [-51, -48, -86, -15, -56, 20, 31, 36, 50, 65]
  Compare -48 and -86
  Swap -48 and -86
  List after swap: [-51, -86, -48, -15, -56, 20, 31, 36, 50, 65]
  Compare -48 and -15
  No swap needed
  Compare -15 and -56
  Swap -15 and -56
  List after swap: [-51, -86, -48, -56, -15, 20, 31, 36, 50, 65]

Pass 7:
  Compare -51 and -86
  Swap -51 and -86
  List after swap: [-86, -51, -48, -56, -15, 20, 31, 36, 50, 65]
  Compare -51 and -48
  No swap needed
  Compare -48 and -56
  Swap -48 and -56
  List after swap: [-86, -51, -56, -48, -15, 20, 31, 36, 50, 65]

Pass 8:
  Compare -86 and -51
  No swap needed
  Compare -51 and -56
  Swap -51 and -56
  List after swap: [-86, -56, -51, -48, -15, 20, 31, 36, 50, 65]

Pass 9:
  Compare -86 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -56, -51, -48, -15, 20, 31, 36, 50, 65]
</think>

<response>-86, -56, -51, -48, -15, 20, 31, 36, 50, 65</response>


input: Perform a bubble sort on the integers 41, -23, 70, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [41, -23, 70]

Pass 1:
  Compare 41 and -23
  Swap 41 and -23
  List after swap: [-23, 41, 70]
  Compare 41 and 70
  No swap needed

Pass 2:
  Compare -23 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, 41, 70]
</think>

<response>-23, 41, 70</response>


input: Demonstrate how bubble sort orders the integers 3, 77, 83, 72, -73, -100, 35, -82 in ascending sequence, showing all steps.

output:
<think>
Initial list: [3, 77, 83, 72, -73, -100, 35, -82]

Pass 1:
  Compare 3 and 77
  No swap needed
  Compare 77 and 83
  No swap needed
  Compare 83 and 72
  Swap 83 and 72
  List after swap: [3, 77, 72, 83, -73, -100, 35, -82]
  Compare 83 and -73
  Swap 83 and -73
  List after swap: [3, 77, 72, -73, 83, -100, 35, -82]
  Compare 83 and -100
  Swap 83 and -100
  List after swap: [3, 77, 72, -73, -100, 83, 35, -82]
  Compare 83 and 35
  Swap 83 and 35
  List after swap: [3, 77, 72, -73, -100, 35, 83, -82]
  Compare 83 and -82
  Swap 83 and -82
  List after swap: [3, 77, 72, -73, -100, 35, -82, 83]

Pass 2:
  Compare 3 and 77
  No swap needed
  Compare 77 and 72
  Swap 77 and 72
  List after swap: [3, 72, 77, -73, -100, 35, -82, 83]
  Compare 77 and -73
  Swap 77 and -73
  List after swap: [3, 72, -73, 77, -100, 35, -82, 83]
  Compare 77 and -100
  Swap 77 and -100
  List after swap: [3, 72, -73, -100, 77, 35, -82, 83]
  Compare 77 and 35
  Swap 77 and 35
  List after swap: [3, 72, -73, -100, 35, 77, -82, 83]
  Compare 77 and -82
  Swap 77 and -82
  List after swap: [3, 72, -73, -100, 35, -82, 77, 83]

Pass 3:
  Compare 3 and 72
  No swap needed
  Compare 72 and -73
  Swap 72 and -73
  List after swap: [3, -73, 72, -100, 35, -82, 77, 83]
  Compare 72 and -100
  Swap 72 and -100
  List after swap: [3, -73, -100, 72, 35, -82, 77, 83]
  Compare 72 and 35
  Swap 72 and 35
  List after swap: [3, -73, -100, 35, 72, -82, 77, 83]
  Compare 72 and -82
  Swap 72 and -82
  List after swap: [3, -73, -100, 35, -82, 72, 77, 83]

Pass 4:
  Compare 3 and -73
  Swap 3 and -73
  List after swap: [-73, 3, -100, 35, -82, 72, 77, 83]
  Compare 3 and -100
  Swap 3 and -100
  List after swap: [-73, -100, 3, 35, -82, 72, 77, 83]
  Compare 3 and 35
  No swap needed
  Compare 35 and -82
  Swap 35 and -82
  List after swap: [-73, -100, 3, -82, 35, 72, 77, 83]

Pass 5:
  Compare -73 and -100
  Swap -73 and -100
  List after swap: [-100, -73, 3, -82, 35, 72, 77, 83]
  Compare -73 and 3
  No swap needed
  Compare 3 and -82
  Swap 3 and -82
  List after swap: [-100, -73, -82, 3, 35, 72, 77, 83]

Pass 6:
  Compare -100 and -73
  No swap needed
  Compare -73 and -82
  Swap -73 and -82
  List after swap: [-100, -82, -73, 3, 35, 72, 77, 83]

Pass 7:
  Compare -100 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -82, -73, 3, 35, 72, 77, 83]
</think>

<response>-100, -82, -73, 3, 35, 72, 77, 83</response>


input: Arrange the numbers -6, 98, -50, -49, -87, 50, 64, 38 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-6, 98, -50, -49, -87, 50, 64, 38]

Pass 1:
  Compare -6 and 98
  No swap needed
  Compare 98 and -50
  Swap 98 and -50
  List after swap: [-6, -50, 98, -49, -87, 50, 64, 38]
  Compare 98 and -49
  Swap 98 and -49
  List after swap: [-6, -50, -49, 98, -87, 50, 64, 38]
  Compare 98 and -87
  Swap 98 and -87
  List after swap: [-6, -50, -49, -87, 98, 50, 64, 38]
  Compare 98 and 50
  Swap 98 and 50
  List after swap: [-6, -50, -49, -87, 50, 98, 64, 38]
  Compare 98 and 64
  Swap 98 and 64
  List after swap: [-6, -50, -49, -87, 50, 64, 98, 38]
  Compare 98 and 38
  Swap 98 and 38
  List after swap: [-6, -50, -49, -87, 50, 64, 38, 98]

Pass 2:
  Compare -6 and -50
  Swap -6 and -50
  List after swap: [-50, -6, -49, -87, 50, 64, 38, 98]
  Compare -6 and -49
  Swap -6 and -49
  List after swap: [-50, -49, -6, -87, 50, 64, 38, 98]
  Compare -6 and -87
  Swap -6 and -87
  List after swap: [-50, -49, -87, -6, 50, 64, 38, 98]
  Compare -6 and 50
  No swap needed
  Compare 50 and 64
  No swap needed
  Compare 64 and 38
  Swap 64 and 38
  List after swap: [-50, -49, -87, -6, 50, 38, 64, 98]

Pass 3:
  Compare -50 and -49
  No swap needed
  Compare -49 and -87
  Swap -49 and -87
  List after swap: [-50, -87, -49, -6, 50, 38, 64, 98]
  Compare -49 and -6
  No swap needed
  Compare -6 and 50
  No swap needed
  Compare 50 and 38
  Swap 50 and 38
  List after swap: [-50, -87, -49, -6, 38, 50, 64, 98]

Pass 4:
  Compare -50 and -87
  Swap -50 and -87
  List after swap: [-87, -50, -49, -6, 38, 50, 64, 98]
  Compare -50 and -49
  No swap needed
  Compare -49 and -6
  No swap needed
  Compare -6 and 38
  No swap needed

Pass 5:
  Compare -87 and -50
  No swap needed
  Compare -50 and -49
  No swap needed
  Compare -49 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -50, -49, -6, 38, 50, 64, 98]
</think>

<response>-87, -50, -49, -6, 38, 50, 64, 98</response>


input: Demonstrate how bubble sort orders the integers 80, -53, 49, 55, -54 in ascending sequence, showing all steps.

output:
<think>
Initial list: [80, -53, 49, 55, -54]

Pass 1:
  Compare 80 and -53
  Swap 80 and -53
  List after swap: [-53, 80, 49, 55, -54]
  Compare 80 and 49
  Swap 80 and 49
  List after swap: [-53, 49, 80, 55, -54]
  Compare 80 and 55
  Swap 80 and 55
  List after swap: [-53, 49, 55, 80, -54]
  Compare 80 and -54
  Swap 80 and -54
  List after swap: [-53, 49, 55, -54, 80]

Pass 2:
  Compare -53 and 49
  No swap needed
  Compare 49 and 55
  No swap needed
  Compare 55 and -54
  Swap 55 and -54
  List after swap: [-53, 49, -54, 55, 80]

Pass 3:
  Compare -53 and 49
  No swap needed
  Compare 49 and -54
  Swap 49 and -54
  List after swap: [-53, -54, 49, 55, 80]

Pass 4:
  Compare -53 and -54
  Swap -53 and -54
  List after swap: [-54, -53, 49, 55, 80]

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

Final sorted list: [-54, -53, 49, 55, 80]
</think>

<response>-54, -53, 49, 55, 80</response>


input: Execute bubble sort to sort 32, -85, 17, -88, -78, 43, -90, -47, -20 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [32, -85, 17, -88, -78, 43, -90, -47, -20]

Pass 1:
  Compare 32 and -85
  Swap 32 and -85
  List after swap: [-85, 32, 17, -88, -78, 43, -90, -47, -20]
  Compare 32 and 17
  Swap 32 and 17
  List after swap: [-85, 17, 32, -88, -78, 43, -90, -47, -20]
  Compare 32 and -88
  Swap 32 and -88
  List after swap: [-85, 17, -88, 32, -78, 43, -90, -47, -20]
  Compare 32 and -78
  Swap 32 and -78
  List after swap: [-85, 17, -88, -78, 32, 43, -90, -47, -20]
  Compare 32 and 43
  No swap needed
  Compare 43 and -90
  Swap 43 and -90
  List after swap: [-85, 17, -88, -78, 32, -90, 43, -47, -20]
  Compare 43 and -47
  Swap 43 and -47
  List after swap: [-85, 17, -88, -78, 32, -90, -47, 43, -20]
  Compare 43 and -20
  Swap 43 and -20
  List after swap: [-85, 17, -88, -78, 32, -90, -47, -20, 43]

Pass 2:
  Compare -85 and 17
  No swap needed
  Compare 17 and -88
  Swap 17 and -88
  List after swap: [-85, -88, 17, -78, 32, -90, -47, -20, 43]
  Compare 17 and -78
  Swap 17 and -78
  List after swap: [-85, -88, -78, 17, 32, -90, -47, -20, 43]
  Compare 17 and 32
  No swap needed
  Compare 32 and -90
  Swap 32 and -90
  List after swap: [-85, -88, -78, 17, -90, 32, -47, -20, 43]
  Compare 32 and -47
  Swap 32 and -47
  List after swap: [-85, -88, -78, 17, -90, -47, 32, -20, 43]
  Compare 32 and -20
  Swap 32 and -20
  List after swap: [-85, -88, -78, 17, -90, -47, -20, 32, 43]

Pass 3:
  Compare -85 and -88
  Swap -85 and -88
  List after swap: [-88, -85, -78, 17, -90, -47, -20, 32, 43]
  Compare -85 and -78
  No swap needed
  Compare -78 and 17
  No swap needed
  Compare 17 and -90
  Swap 17 and -90
  List after swap: [-88, -85, -78, -90, 17, -47, -20, 32, 43]
  Compare 17 and -47
  Swap 17 and -47
  List after swap: [-88, -85, -78, -90, -47, 17, -20, 32, 43]
  Compare 17 and -20
  Swap 17 and -20
  List after swap: [-88, -85, -78, -90, -47, -20, 17, 32, 43]

Pass 4:
  Compare -88 and -85
  No swap needed
  Compare -85 and -78
  No swap needed
  Compare -78 and -90
  Swap -78 and -90
  List after swap: [-88, -85, -90, -78, -47, -20, 17, 32, 43]
  Compare -78 and -47
  No swap needed
  Compare -47 and -20
  No swap needed

Pass 5:
  Compare -88 and -85
  No swap needed
  Compare -85 and -90
  Swap -85 and -90
  List after swap: [-88, -90, -85, -78, -47, -20, 17, 32, 43]
  Compare -85 and -78
  No swap needed
  Compare -78 and -47
  No swap needed

Pass 6:
  Compare -88 and -90
  Swap -88 and -90
  List after swap: [-90, -88, -85, -78, -47, -20, 17, 32, 43]
  Compare -88 and -85
  No swap needed
  Compare -85 and -78
  No swap needed

Pass 7:
  Compare -90 and -88
  No swap needed
  Compare -88 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -88, -85, -78, -47, -20, 17, 32, 43]
</think>

<response>-90, -88, -85, -78, -47, -20, 17, 32, 43</response>


input: Arrange the numbers -93, 89, -84 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-93, 89, -84]

Pass 1:
  Compare -93 and 89
  No swap needed
  Compare 89 and -84
  Swap 89 and -84
  List after swap: [-93, -84, 89]

Pass 2:
  Compare -93 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -84, 89]
</think>

<response>-93, -84, 89</response>


input: Arrange the numbers -94, -75, 3, 2, 13 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-94, -75, 3, 2, 13]

Pass 1:
  Compare -94 and -75
  No swap needed
  Compare -75 and 3
  No swap needed
  Compare 3 and 2
  Swap 3 and 2
  List after swap: [-94, -75, 2, 3, 13]
  Compare 3 and 13
  No swap needed

Pass 2:
  Compare -94 and -75
  No swap needed
  Compare -75 and 2
  No swap needed
  Compare 2 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -75, 2, 3, 13]
</think>

<response>-94, -75, 2, 3, 13</response>


input: Use the bubble sort technique to reorder 56, -27 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [56, -27]

Pass 1:
  Compare 56 and -27
  Swap 56 and -27
  List after swap: [-27, 56]

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

Final sorted list: [-27, 56]
</think>

<response>-27, 56</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -64, -61, -9, -43, 22, 21.

output:
<think>
Initial list: [-64, -61, -9, -43, 22, 21]

Pass 1:
  Compare -64 and -61
  No swap needed
  Compare -61 and -9
  No swap needed
  Compare -9 and -43
  Swap -9 and -43
  List after swap: [-64, -61, -43, -9, 22, 21]
  Compare -9 and 22
  No swap needed
  Compare 22 and 21
  Swap 22 and 21
  List after swap: [-64, -61, -43, -9, 21, 22]

Pass 2:
  Compare -64 and -61
  No swap needed
  Compare -61 and -43
  No swap needed
  Compare -43 and -9
  No swap needed
  Compare -9 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -61, -43, -9, 21, 22]
</think>

<response>-64, -61, -43, -9, 21, 22</response>


input: Perform a bubble sort on the integers -43, 76, 9, -78, 97, 16, -34, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-43, 76, 9, -78, 97, 16, -34]

Pass 1:
  Compare -43 and 76
  No swap needed
  Compare 76 and 9
  Swap 76 and 9
  List after swap: [-43, 9, 76, -78, 97, 16, -34]
  Compare 76 and -78
  Swap 76 and -78
  List after swap: [-43, 9, -78, 76, 97, 16, -34]
  Compare 76 and 97
  No swap needed
  Compare 97 and 16
  Swap 97 and 16
  List after swap: [-43, 9, -78, 76, 16, 97, -34]
  Compare 97 and -34
  Swap 97 and -34
  List after swap: [-43, 9, -78, 76, 16, -34, 97]

Pass 2:
  Compare -43 and 9
  No swap needed
  Compare 9 and -78
  Swap 9 and -78
  List after swap: [-43, -78, 9, 76, 16, -34, 97]
  Compare 9 and 76
  No swap needed
  Compare 76 and 16
  Swap 76 and 16
  List after swap: [-43, -78, 9, 16, 76, -34, 97]
  Compare 76 and -34
  Swap 76 and -34
  List after swap: [-43, -78, 9, 16, -34, 76, 97]

Pass 3:
  Compare -43 and -78
  Swap -43 and -78
  List after swap: [-78, -43, 9, 16, -34, 76, 97]
  Compare -43 and 9
  No swap needed
  Compare 9 and 16
  No swap needed
  Compare 16 and -34
  Swap 16 and -34
  List after swap: [-78, -43, 9, -34, 16, 76, 97]

Pass 4:
  Compare -78 and -43
  No swap needed
  Compare -43 and 9
  No swap needed
  Compare 9 and -34
  Swap 9 and -34
  List after swap: [-78, -43, -34, 9, 16, 76, 97]

Pass 5:
  Compare -78 and -43
  No swap needed
  Compare -43 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -43, -34, 9, 16, 76, 97]
</think>

<response>-78, -43, -34, 9, 16, 76, 97</response>


input: Execute bubble sort to sort 35, -97, 8, -53, 37 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [35, -97, 8, -53, 37]

Pass 1:
  Compare 35 and -97
  Swap 35 and -97
  List after swap: [-97, 35, 8, -53, 37]
  Compare 35 and 8
  Swap 35 and 8
  List after swap: [-97, 8, 35, -53, 37]
  Compare 35 and -53
  Swap 35 and -53
  List after swap: [-97, 8, -53, 35, 37]
  Compare 35 and 37
  No swap needed

Pass 2:
  Compare -97 and 8
  No swap needed
  Compare 8 and -53
  Swap 8 and -53
  List after swap: [-97, -53, 8, 35, 37]
  Compare 8 and 35
  No swap needed

Pass 3:
  Compare -97 and -53
  No swap needed
  Compare -53 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -53, 8, 35, 37]
</think>

<response>-97, -53, 8, 35, 37</response>


input: Implement bubble sort on 13, 20, 75, -63, -96, 46, 6, 47, 30 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [13, 20, 75, -63, -96, 46, 6, 47, 30]

Pass 1:
  Compare 13 and 20
  No swap needed
  Compare 20 and 75
  No swap needed
  Compare 75 and -63
  Swap 75 and -63
  List after swap: [13, 20, -63, 75, -96, 46, 6, 47, 30]
  Compare 75 and -96
  Swap 75 and -96
  List after swap: [13, 20, -63, -96, 75, 46, 6, 47, 30]
  Compare 75 and 46
  Swap 75 and 46
  List after swap: [13, 20, -63, -96, 46, 75, 6, 47, 30]
  Compare 75 and 6
  Swap 75 and 6
  List after swap: [13, 20, -63, -96, 46, 6, 75, 47, 30]
  Compare 75 and 47
  Swap 75 and 47
  List after swap: [13, 20, -63, -96, 46, 6, 47, 75, 30]
  Compare 75 and 30
  Swap 75 and 30
  List after swap: [13, 20, -63, -96, 46, 6, 47, 30, 75]

Pass 2:
  Compare 13 and 20
  No swap needed
  Compare 20 and -63
  Swap 20 and -63
  List after swap: [13, -63, 20, -96, 46, 6, 47, 30, 75]
  Compare 20 and -96
  Swap 20 and -96
  List after swap: [13, -63, -96, 20, 46, 6, 47, 30, 75]
  Compare 20 and 46
  No swap needed
  Compare 46 and 6
  Swap 46 and 6
  List after swap: [13, -63, -96, 20, 6, 46, 47, 30, 75]
  Compare 46 and 47
  No swap needed
  Compare 47 and 30
  Swap 47 and 30
  List after swap: [13, -63, -96, 20, 6, 46, 30, 47, 75]

Pass 3:
  Compare 13 and -63
  Swap 13 and -63
  List after swap: [-63, 13, -96, 20, 6, 46, 30, 47, 75]
  Compare 13 and -96
  Swap 13 and -96
  List after swap: [-63, -96, 13, 20, 6, 46, 30, 47, 75]
  Compare 13 and 20
  No swap needed
  Compare 20 and 6
  Swap 20 and 6
  List after swap: [-63, -96, 13, 6, 20, 46, 30, 47, 75]
  Compare 20 and 46
  No swap needed
  Compare 46 and 30
  Swap 46 and 30
  List after swap: [-63, -96, 13, 6, 20, 30, 46, 47, 75]

Pass 4:
  Compare -63 and -96
  Swap -63 and -96
  List after swap: [-96, -63, 13, 6, 20, 30, 46, 47, 75]
  Compare -63 and 13
  No swap needed
  Compare 13 and 6
  Swap 13 and 6
  List after swap: [-96, -63, 6, 13, 20, 30, 46, 47, 75]
  Compare 13 and 20
  No swap needed
  Compare 20 and 30
  No swap needed

Pass 5:
  Compare -96 and -63
  No swap needed
  Compare -63 and 6
  No swap needed
  Compare 6 and 13
  No swap needed
  Compare 13 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -63, 6, 13, 20, 30, 46, 47, 75]
</think>

<response>-96, -63, 6, 13, 20, 30, 46, 47, 75</response>


input: Using the bubble sort method, sort -34, 12, -41, -58, 68, -32, -82, -51 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-34, 12, -41, -58, 68, -32, -82, -51]

Pass 1:
  Compare -34 and 12
  No swap needed
  Compare 12 and -41
  Swap 12 and -41
  List after swap: [-34, -41, 12, -58, 68, -32, -82, -51]
  Compare 12 and -58
  Swap 12 and -58
  List after swap: [-34, -41, -58, 12, 68, -32, -82, -51]
  Compare 12 and 68
  No swap needed
  Compare 68 and -32
  Swap 68 and -32
  List after swap: [-34, -41, -58, 12, -32, 68, -82, -51]
  Compare 68 and -82
  Swap 68 and -82
  List after swap: [-34, -41, -58, 12, -32, -82, 68, -51]
  Compare 68 and -51
  Swap 68 and -51
  List after swap: [-34, -41, -58, 12, -32, -82, -51, 68]

Pass 2:
  Compare -34 and -41
  Swap -34 and -41
  List after swap: [-41, -34, -58, 12, -32, -82, -51, 68]
  Compare -34 and -58
  Swap -34 and -58
  List after swap: [-41, -58, -34, 12, -32, -82, -51, 68]
  Compare -34 and 12
  No swap needed
  Compare 12 and -32
  Swap 12 and -32
  List after swap: [-41, -58, -34, -32, 12, -82, -51, 68]
  Compare 12 and -82
  Swap 12 and -82
  List after swap: [-41, -58, -34, -32, -82, 12, -51, 68]
  Compare 12 and -51
  Swap 12 and -51
  List after swap: [-41, -58, -34, -32, -82, -51, 12, 68]

Pass 3:
  Compare -41 and -58
  Swap -41 and -58
  List after swap: [-58, -41, -34, -32, -82, -51, 12, 68]
  Compare -41 and -34
  No swap needed
  Compare -34 and -32
  No swap needed
  Compare -32 and -82
  Swap -32 and -82
  List after swap: [-58, -41, -34, -82, -32, -51, 12, 68]
  Compare -32 and -51
  Swap -32 and -51
  List after swap: [-58, -41, -34, -82, -51, -32, 12, 68]

Pass 4:
  Compare -58 and -41
  No swap needed
  Compare -41 and -34
  No swap needed
  Compare -34 and -82
  Swap -34 and -82
  List after swap: [-58, -41, -82, -34, -51, -32, 12, 68]
  Compare -34 and -51
  Swap -34 and -51
  List after swap: [-58, -41, -82, -51, -34, -32, 12, 68]

Pass 5:
  Compare -58 and -41
  No swap needed
  Compare -41 and -82
  Swap -41 and -82
  List after swap: [-58, -82, -41, -51, -34, -32, 12, 68]
  Compare -41 and -51
  Swap -41 and -51
  List after swap: [-58, -82, -51, -41, -34, -32, 12, 68]

Pass 6:
  Compare -58 and -82
  Swap -58 and -82
  List after swap: [-82, -58, -51, -41, -34, -32, 12, 68]
  Compare -58 and -51
  No swap needed

Pass 7:
  Compare -82 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -58, -51, -41, -34, -32, 12, 68]
</think>

<response>-82, -58, -51, -41, -34, -32, 12, 68</response>


input: Sort the list -71, -75, -30, -80, 33, 50 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-71, -75, -30, -80, 33, 50]

Pass 1:
  Compare -71 and -75
  Swap -71 and -75
  List after swap: [-75, -71, -30, -80, 33, 50]
  Compare -71 and -30
  No swap needed
  Compare -30 and -80
  Swap -30 and -80
  List after swap: [-75, -71, -80, -30, 33, 50]
  Compare -30 and 33
  No swap needed
  Compare 33 and 50
  No swap needed

Pass 2:
  Compare -75 and -71
  No swap needed
  Compare -71 and -80
  Swap -71 and -80
  List after swap: [-75, -80, -71, -30, 33, 50]
  Compare -71 and -30
  No swap needed
  Compare -30 and 33
  No swap needed

Pass 3:
  Compare -75 and -80
  Swap -75 and -80
  List after swap: [-80, -75, -71, -30, 33, 50]
  Compare -75 and -71
  No swap needed
  Compare -71 and -30
  No swap needed

Pass 4:
  Compare -80 and -75
  No swap needed
  Compare -75 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -75, -71, -30, 33, 50]
</think>

<response>-80, -75, -71, -30, 33, 50</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -89, 45.

output:
<think>
Initial list: [-89, 45]

Pass 1:
  Compare -89 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, 45]
</think>

<response>-89, 45</response>


input: Using the bubble sort method, sort -92, -95, 35, -89 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-92, -95, 35, -89]

Pass 1:
  Compare -92 and -95
  Swap -92 and -95
  List after swap: [-95, -92, 35, -89]
  Compare -92 and 35
  No swap needed
  Compare 35 and -89
  Swap 35 and -89
  List after swap: [-95, -92, -89, 35]

Pass 2:
  Compare -95 and -92
  No swap needed
  Compare -92 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -92, -89, 35]
</think>

<response>-95, -92, -89, 35</response>


input: Arrange the numbers 81, -77, -19, 32, 49 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [81, -77, -19, 32, 49]

Pass 1:
  Compare 81 and -77
  Swap 81 and -77
  List after swap: [-77, 81, -19, 32, 49]
  Compare 81 and -19
  Swap 81 and -19
  List after swap: [-77, -19, 81, 32, 49]
  Compare 81 and 32
  Swap 81 and 32
  List after swap: [-77, -19, 32, 81, 49]
  Compare 81 and 49
  Swap 81 and 49
  List after swap: [-77, -19, 32, 49, 81]

Pass 2:
  Compare -77 and -19
  No swap needed
  Compare -19 and 32
  No swap needed
  Compare 32 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -19, 32, 49, 81]
</think>

<response>-77, -19, 32, 49, 81</response>


input: Carry out the bubble sort algorithm on 76, 77, 34, -59, -45 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [76, 77, 34, -59, -45]

Pass 1:
  Compare 76 and 77
  No swap needed
  Compare 77 and 34
  Swap 77 and 34
  List after swap: [76, 34, 77, -59, -45]
  Compare 77 and -59
  Swap 77 and -59
  List after swap: [76, 34, -59, 77, -45]
  Compare 77 and -45
  Swap 77 and -45
  List after swap: [76, 34, -59, -45, 77]

Pass 2:
  Compare 76 and 34
  Swap 76 and 34
  List after swap: [34, 76, -59, -45, 77]
  Compare 76 and -59
  Swap 76 and -59
  List after swap: [34, -59, 76, -45, 77]
  Compare 76 and -45
  Swap 76 and -45
  List after swap: [34, -59, -45, 76, 77]

Pass 3:
  Compare 34 and -59
  Swap 34 and -59
  List after swap: [-59, 34, -45, 76, 77]
  Compare 34 and -45
  Swap 34 and -45
  List after swap: [-59, -45, 34, 76, 77]

Pass 4:
  Compare -59 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -45, 34, 76, 77]
</think>

<response>-59, -45, 34, 76, 77</response>


input: Implement bubble sort on 1, 93, 15, -81, -19 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [1, 93, 15, -81, -19]

Pass 1:
  Compare 1 and 93
  No swap needed
  Compare 93 and 15
  Swap 93 and 15
  List after swap: [1, 15, 93, -81, -19]
  Compare 93 and -81
  Swap 93 and -81
  List after swap: [1, 15, -81, 93, -19]
  Compare 93 and -19
  Swap 93 and -19
  List after swap: [1, 15, -81, -19, 93]

Pass 2:
  Compare 1 and 15
  No swap needed
  Compare 15 and -81
  Swap 15 and -81
  List after swap: [1, -81, 15, -19, 93]
  Compare 15 and -19
  Swap 15 and -19
  List after swap: [1, -81, -19, 15, 93]

Pass 3:
  Compare 1 and -81
  Swap 1 and -81
  List after swap: [-81, 1, -19, 15, 93]
  Compare 1 and -19
  Swap 1 and -19
  List after swap: [-81, -19, 1, 15, 93]

Pass 4:
  Compare -81 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -19, 1, 15, 93]
</think>

<response>-81, -19, 1, 15, 93</response>


input: Carry out the bubble sort algorithm on 65, 8, 14, 86, -61, 44, -14 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [65, 8, 14, 86, -61, 44, -14]

Pass 1:
  Compare 65 and 8
  Swap 65 and 8
  List after swap: [8, 65, 14, 86, -61, 44, -14]
  Compare 65 and 14
  Swap 65 and 14
  List after swap: [8, 14, 65, 86, -61, 44, -14]
  Compare 65 and 86
  No swap needed
  Compare 86 and -61
  Swap 86 and -61
  List after swap: [8, 14, 65, -61, 86, 44, -14]
  Compare 86 and 44
  Swap 86 and 44
  List after swap: [8, 14, 65, -61, 44, 86, -14]
  Compare 86 and -14
  Swap 86 and -14
  List after swap: [8, 14, 65, -61, 44, -14, 86]

Pass 2:
  Compare 8 and 14
  No swap needed
  Compare 14 and 65
  No swap needed
  Compare 65 and -61
  Swap 65 and -61
  List after swap: [8, 14, -61, 65, 44, -14, 86]
  Compare 65 and 44
  Swap 65 and 44
  List after swap: [8, 14, -61, 44, 65, -14, 86]
  Compare 65 and -14
  Swap 65 and -14
  List after swap: [8, 14, -61, 44, -14, 65, 86]

Pass 3:
  Compare 8 and 14
  No swap needed
  Compare 14 and -61
  Swap 14 and -61
  List after swap: [8, -61, 14, 44, -14, 65, 86]
  Compare 14 and 44
  No swap needed
  Compare 44 and -14
  Swap 44 and -14
  List after swap: [8, -61, 14, -14, 44, 65, 86]

Pass 4:
  Compare 8 and -61
  Swap 8 and -61
  List after swap: [-61, 8, 14, -14, 44, 65, 86]
  Compare 8 and 14
  No swap needed
  Compare 14 and -14
  Swap 14 and -14
  List after swap: [-61, 8, -14, 14, 44, 65, 86]

Pass 5:
  Compare -61 and 8
  No swap needed
  Compare 8 and -14
  Swap 8 and -14
  List after swap: [-61, -14, 8, 14, 44, 65, 86]

Pass 6:
  Compare -61 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -14, 8, 14, 44, 65, 86]
</think>

<response>-61, -14, 8, 14, 44, 65, 86</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 60, -44, -55, -39, 36, 8.

output:
<think>
Initial list: [60, -44, -55, -39, 36, 8]

Pass 1:
  Compare 60 and -44
  Swap 60 and -44
  List after swap: [-44, 60, -55, -39, 36, 8]
  Compare 60 and -55
  Swap 60 and -55
  List after swap: [-44, -55, 60, -39, 36, 8]
  Compare 60 and -39
  Swap 60 and -39
  List after swap: [-44, -55, -39, 60, 36, 8]
  Compare 60 and 36
  Swap 60 and 36
  List after swap: [-44, -55, -39, 36, 60, 8]
  Compare 60 and 8
  Swap 60 and 8
  List after swap: [-44, -55, -39, 36, 8, 60]

Pass 2:
  Compare -44 and -55
  Swap -44 and -55
  List after swap: [-55, -44, -39, 36, 8, 60]
  Compare -44 and -39
  No swap needed
  Compare -39 and 36
  No swap needed
  Compare 36 and 8
  Swap 36 and 8
  List after swap: [-55, -44, -39, 8, 36, 60]

Pass 3:
  Compare -55 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  Compare -39 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -44, -39, 8, 36, 60]
</think>

<response>-55, -44, -39, 8, 36, 60</response>


input: Using the bubble sort method, sort 27, -58, -46 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [27, -58, -46]

Pass 1:
  Compare 27 and -58
  Swap 27 and -58
  List after swap: [-58, 27, -46]
  Compare 27 and -46
  Swap 27 and -46
  List after swap: [-58, -46, 27]

Pass 2:
  Compare -58 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -46, 27]
</think>

<response>-58, -46, 27</response>


input: Sort the list -11, 76, -93, -45, -69, 62, -5, -51, 95 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-11, 76, -93, -45, -69, 62, -5, -51, 95]

Pass 1:
  Compare -11 and 76
  No swap needed
  Compare 76 and -93
  Swap 76 and -93
  List after swap: [-11, -93, 76, -45, -69, 62, -5, -51, 95]
  Compare 76 and -45
  Swap 76 and -45
  List after swap: [-11, -93, -45, 76, -69, 62, -5, -51, 95]
  Compare 76 and -69
  Swap 76 and -69
  List after swap: [-11, -93, -45, -69, 76, 62, -5, -51, 95]
  Compare 76 and 62
  Swap 76 and 62
  List after swap: [-11, -93, -45, -69, 62, 76, -5, -51, 95]
  Compare 76 and -5
  Swap 76 and -5
  List after swap: [-11, -93, -45, -69, 62, -5, 76, -51, 95]
  Compare 76 and -51
  Swap 76 and -51
  List after swap: [-11, -93, -45, -69, 62, -5, -51, 76, 95]
  Compare 76 and 95
  No swap needed

Pass 2:
  Compare -11 and -93
  Swap -11 and -93
  List after swap: [-93, -11, -45, -69, 62, -5, -51, 76, 95]
  Compare -11 and -45
  Swap -11 and -45
  List after swap: [-93, -45, -11, -69, 62, -5, -51, 76, 95]
  Compare -11 and -69
  Swap -11 and -69
  List after swap: [-93, -45, -69, -11, 62, -5, -51, 76, 95]
  Compare -11 and 62
  No swap needed
  Compare 62 and -5
  Swap 62 and -5
  List after swap: [-93, -45, -69, -11, -5, 62, -51, 76, 95]
  Compare 62 and -51
  Swap 62 and -51
  List after swap: [-93, -45, -69, -11, -5, -51, 62, 76, 95]
  Compare 62 and 76
  No swap needed

Pass 3:
  Compare -93 and -45
  No swap needed
  Compare -45 and -69
  Swap -45 and -69
  List after swap: [-93, -69, -45, -11, -5, -51, 62, 76, 95]
  Compare -45 and -11
  No swap needed
  Compare -11 and -5
  No swap needed
  Compare -5 and -51
  Swap -5 and -51
  List after swap: [-93, -69, -45, -11, -51, -5, 62, 76, 95]
  Compare -5 and 62
  No swap needed

Pass 4:
  Compare -93 and -69
  No swap needed
  Compare -69 and -45
  No swap needed
  Compare -45 and -11
  No swap needed
  Compare -11 and -51
  Swap -11 and -51
  List after swap: [-93, -69, -45, -51, -11, -5, 62, 76, 95]
  Compare -11 and -5
  No swap needed

Pass 5:
  Compare -93 and -69
  No swap needed
  Compare -69 and -45
  No swap needed
  Compare -45 and -51
  Swap -45 and -51
  List after swap: [-93, -69, -51, -45, -11, -5, 62, 76, 95]
  Compare -45 and -11
  No swap needed

Pass 6:
  Compare -93 and -69
  No swap needed
  Compare -69 and -51
  No swap needed
  Compare -51 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -69, -51, -45, -11, -5, 62, 76, 95]
</think>

<response>-93, -69, -51, -45, -11, -5, 62, 76, 95</response>


input: Carry out the bubble sort algorithm on -11, -98, 34, -95, -43, -28, 14, -79 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-11, -98, 34, -95, -43, -28, 14, -79]

Pass 1:
  Compare -11 and -98
  Swap -11 and -98
  List after swap: [-98, -11, 34, -95, -43, -28, 14, -79]
  Compare -11 and 34
  No swap needed
  Compare 34 and -95
  Swap 34 and -95
  List after swap: [-98, -11, -95, 34, -43, -28, 14, -79]
  Compare 34 and -43
  Swap 34 and -43
  List after swap: [-98, -11, -95, -43, 34, -28, 14, -79]
  Compare 34 and -28
  Swap 34 and -28
  List after swap: [-98, -11, -95, -43, -28, 34, 14, -79]
  Compare 34 and 14
  Swap 34 and 14
  List after swap: [-98, -11, -95, -43, -28, 14, 34, -79]
  Compare 34 and -79
  Swap 34 and -79
  List after swap: [-98, -11, -95, -43, -28, 14, -79, 34]

Pass 2:
  Compare -98 and -11
  No swap needed
  Compare -11 and -95
  Swap -11 and -95
  List after swap: [-98, -95, -11, -43, -28, 14, -79, 34]
  Compare -11 and -43
  Swap -11 and -43
  List after swap: [-98, -95, -43, -11, -28, 14, -79, 34]
  Compare -11 and -28
  Swap -11 and -28
  List after swap: [-98, -95, -43, -28, -11, 14, -79, 34]
  Compare -11 and 14
  No swap needed
  Compare 14 and -79
  Swap 14 and -79
  List after swap: [-98, -95, -43, -28, -11, -79, 14, 34]

Pass 3:
  Compare -98 and -95
  No swap needed
  Compare -95 and -43
  No swap needed
  Compare -43 and -28
  No swap needed
  Compare -28 and -11
  No swap needed
  Compare -11 and -79
  Swap -11 and -79
  List after swap: [-98, -95, -43, -28, -79, -11, 14, 34]

Pass 4:
  Compare -98 and -95
  No swap needed
  Compare -95 and -43
  No swap needed
  Compare -43 and -28
  No swap needed
  Compare -28 and -79
  Swap -28 and -79
  List after swap: [-98, -95, -43, -79, -28, -11, 14, 34]

Pass 5:
  Compare -98 and -95
  No swap needed
  Compare -95 and -43
  No swap needed
  Compare -43 and -79
  Swap -43 and -79
  List after swap: [-98, -95, -79, -43, -28, -11, 14, 34]

Pass 6:
  Compare -98 and -95
  No swap needed
  Compare -95 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -95, -79, -43, -28, -11, 14, 34]
</think>

<response>-98, -95, -79, -43, -28, -11, 14, 34</response>


input: Using the bubble sort method, sort 12, -42 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [12, -42]

Pass 1:
  Compare 12 and -42
  Swap 12 and -42
  List after swap: [-42, 12]

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

Final sorted list: [-42, 12]
</think>

<response>-42, 12</response>


input: Sort the list -74, -35, -14, -68, 49, -30, 8, 37 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-74, -35, -14, -68, 49, -30, 8, 37]

Pass 1:
  Compare -74 and -35
  No swap needed
  Compare -35 and -14
  No swap needed
  Compare -14 and -68
  Swap -14 and -68
  List after swap: [-74, -35, -68, -14, 49, -30, 8, 37]
  Compare -14 and 49
  No swap needed
  Compare 49 and -30
  Swap 49 and -30
  List after swap: [-74, -35, -68, -14, -30, 49, 8, 37]
  Compare 49 and 8
  Swap 49 and 8
  List after swap: [-74, -35, -68, -14, -30, 8, 49, 37]
  Compare 49 and 37
  Swap 49 and 37
  List after swap: [-74, -35, -68, -14, -30, 8, 37, 49]

Pass 2:
  Compare -74 and -35
  No swap needed
  Compare -35 and -68
  Swap -35 and -68
  List after swap: [-74, -68, -35, -14, -30, 8, 37, 49]
  Compare -35 and -14
  No swap needed
  Compare -14 and -30
  Swap -14 and -30
  List after swap: [-74, -68, -35, -30, -14, 8, 37, 49]
  Compare -14 and 8
  No swap needed
  Compare 8 and 37
  No swap needed

Pass 3:
  Compare -74 and -68
  No swap needed
  Compare -68 and -35
  No swap needed
  Compare -35 and -30
  No swap needed
  Compare -30 and -14
  No swap needed
  Compare -14 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -68, -35, -30, -14, 8, 37, 49]
</think>

<response>-74, -68, -35, -30, -14, 8, 37, 49</response>


input: Implement bubble sort on 81, 82 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [81, 82]

Pass 1:
  Compare 81 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [81, 82]
</think>

<response>81, 82</response>