input: Execute bubble sort to sort -46, 56, 98, 12, 9, -39, -97, 81, -82, 83 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-46, 56, 98, 12, 9, -39, -97, 81, -82, 83]

Pass 1:
  Compare -46 and 56
  No swap needed
  Compare 56 and 98
  No swap needed
  Compare 98 and 12
  Swap 98 and 12
  List after swap: [-46, 56, 12, 98, 9, -39, -97, 81, -82, 83]
  Compare 98 and 9
  Swap 98 and 9
  List after swap: [-46, 56, 12, 9, 98, -39, -97, 81, -82, 83]
  Compare 98 and -39
  Swap 98 and -39
  List after swap: [-46, 56, 12, 9, -39, 98, -97, 81, -82, 83]
  Compare 98 and -97
  Swap 98 and -97
  List after swap: [-46, 56, 12, 9, -39, -97, 98, 81, -82, 83]
  Compare 98 and 81
  Swap 98 and 81
  List after swap: [-46, 56, 12, 9, -39, -97, 81, 98, -82, 83]
  Compare 98 and -82
  Swap 98 and -82
  List after swap: [-46, 56, 12, 9, -39, -97, 81, -82, 98, 83]
  Compare 98 and 83
  Swap 98 and 83
  List after swap: [-46, 56, 12, 9, -39, -97, 81, -82, 83, 98]

Pass 2:
  Compare -46 and 56
  No swap needed
  Compare 56 and 12
  Swap 56 and 12
  List after swap: [-46, 12, 56, 9, -39, -97, 81, -82, 83, 98]
  Compare 56 and 9
  Swap 56 and 9
  List after swap: [-46, 12, 9, 56, -39, -97, 81, -82, 83, 98]
  Compare 56 and -39
  Swap 56 and -39
  List after swap: [-46, 12, 9, -39, 56, -97, 81, -82, 83, 98]
  Compare 56 and -97
  Swap 56 and -97
  List after swap: [-46, 12, 9, -39, -97, 56, 81, -82, 83, 98]
  Compare 56 and 81
  No swap needed
  Compare 81 and -82
  Swap 81 and -82
  List after swap: [-46, 12, 9, -39, -97, 56, -82, 81, 83, 98]
  Compare 81 and 83
  No swap needed

Pass 3:
  Compare -46 and 12
  No swap needed
  Compare 12 and 9
  Swap 12 and 9
  List after swap: [-46, 9, 12, -39, -97, 56, -82, 81, 83, 98]
  Compare 12 and -39
  Swap 12 and -39
  List after swap: [-46, 9, -39, 12, -97, 56, -82, 81, 83, 98]
  Compare 12 and -97
  Swap 12 and -97
  List after swap: [-46, 9, -39, -97, 12, 56, -82, 81, 83, 98]
  Compare 12 and 56
  No swap needed
  Compare 56 and -82
  Swap 56 and -82
  List after swap: [-46, 9, -39, -97, 12, -82, 56, 81, 83, 98]
  Compare 56 and 81
  No swap needed

Pass 4:
  Compare -46 and 9
  No swap needed
  Compare 9 and -39
  Swap 9 and -39
  List after swap: [-46, -39, 9, -97, 12, -82, 56, 81, 83, 98]
  Compare 9 and -97
  Swap 9 and -97
  List after swap: [-46, -39, -97, 9, 12, -82, 56, 81, 83, 98]
  Compare 9 and 12
  No swap needed
  Compare 12 and -82
  Swap 12 and -82
  List after swap: [-46, -39, -97, 9, -82, 12, 56, 81, 83, 98]
  Compare 12 and 56
  No swap needed

Pass 5:
  Compare -46 and -39
  No swap needed
  Compare -39 and -97
  Swap -39 and -97
  List after swap: [-46, -97, -39, 9, -82, 12, 56, 81, 83, 98]
  Compare -39 and 9
  No swap needed
  Compare 9 and -82
  Swap 9 and -82
  List after swap: [-46, -97, -39, -82, 9, 12, 56, 81, 83, 98]
  Compare 9 and 12
  No swap needed

Pass 6:
  Compare -46 and -97
  Swap -46 and -97
  List after swap: [-97, -46, -39, -82, 9, 12, 56, 81, 83, 98]
  Compare -46 and -39
  No swap needed
  Compare -39 and -82
  Swap -39 and -82
  List after swap: [-97, -46, -82, -39, 9, 12, 56, 81, 83, 98]
  Compare -39 and 9
  No swap needed

Pass 7:
  Compare -97 and -46
  No swap needed
  Compare -46 and -82
  Swap -46 and -82
  List after swap: [-97, -82, -46, -39, 9, 12, 56, 81, 83, 98]
  Compare -46 and -39
  No swap needed

Pass 8:
  Compare -97 and -82
  No swap needed
  Compare -82 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -82, -46, -39, 9, 12, 56, 81, 83, 98]
</think>

<response>-97, -82, -46, -39, 9, 12, 56, 81, 83, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 90, -10, -61, -45, 71, -52.

output:
<think>
Initial list: [90, -10, -61, -45, 71, -52]

Pass 1:
  Compare 90 and -10
  Swap 90 and -10
  List after swap: [-10, 90, -61, -45, 71, -52]
  Compare 90 and -61
  Swap 90 and -61
  List after swap: [-10, -61, 90, -45, 71, -52]
  Compare 90 and -45
  Swap 90 and -45
  List after swap: [-10, -61, -45, 90, 71, -52]
  Compare 90 and 71
  Swap 90 and 71
  List after swap: [-10, -61, -45, 71, 90, -52]
  Compare 90 and -52
  Swap 90 and -52
  List after swap: [-10, -61, -45, 71, -52, 90]

Pass 2:
  Compare -10 and -61
  Swap -10 and -61
  List after swap: [-61, -10, -45, 71, -52, 90]
  Compare -10 and -45
  Swap -10 and -45
  List after swap: [-61, -45, -10, 71, -52, 90]
  Compare -10 and 71
  No swap needed
  Compare 71 and -52
  Swap 71 and -52
  List after swap: [-61, -45, -10, -52, 71, 90]

Pass 3:
  Compare -61 and -45
  No swap needed
  Compare -45 and -10
  No swap needed
  Compare -10 and -52
  Swap -10 and -52
  List after swap: [-61, -45, -52, -10, 71, 90]

Pass 4:
  Compare -61 and -45
  No swap needed
  Compare -45 and -52
  Swap -45 and -52
  List after swap: [-61, -52, -45, -10, 71, 90]

Pass 5:
  Compare -61 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -52, -45, -10, 71, 90]
</think>

<response>-61, -52, -45, -10, 71, 90</response>


input: Sort these integers -23, 62, 99, -43, -1, 10 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-23, 62, 99, -43, -1, 10]

Pass 1:
  Compare -23 and 62
  No swap needed
  Compare 62 and 99
  No swap needed
  Compare 99 and -43
  Swap 99 and -43
  List after swap: [-23, 62, -43, 99, -1, 10]
  Compare 99 and -1
  Swap 99 and -1
  List after swap: [-23, 62, -43, -1, 99, 10]
  Compare 99 and 10
  Swap 99 and 10
  List after swap: [-23, 62, -43, -1, 10, 99]

Pass 2:
  Compare -23 and 62
  No swap needed
  Compare 62 and -43
  Swap 62 and -43
  List after swap: [-23, -43, 62, -1, 10, 99]
  Compare 62 and -1
  Swap 62 and -1
  List after swap: [-23, -43, -1, 62, 10, 99]
  Compare 62 and 10
  Swap 62 and 10
  List after swap: [-23, -43, -1, 10, 62, 99]

Pass 3:
  Compare -23 and -43
  Swap -23 and -43
  List after swap: [-43, -23, -1, 10, 62, 99]
  Compare -23 and -1
  No swap needed
  Compare -1 and 10
  No swap needed

Pass 4:
  Compare -43 and -23
  No swap needed
  Compare -23 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -23, -1, 10, 62, 99]
</think>

<response>-43, -23, -1, 10, 62, 99</response>


input: Perform a bubble sort on the integers 14, -77, 63, -100, 17, 34, -13, 78, -24, 42, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [14, -77, 63, -100, 17, 34, -13, 78, -24, 42]

Pass 1:
  Compare 14 and -77
  Swap 14 and -77
  List after swap: [-77, 14, 63, -100, 17, 34, -13, 78, -24, 42]
  Compare 14 and 63
  No swap needed
  Compare 63 and -100
  Swap 63 and -100
  List after swap: [-77, 14, -100, 63, 17, 34, -13, 78, -24, 42]
  Compare 63 and 17
  Swap 63 and 17
  List after swap: [-77, 14, -100, 17, 63, 34, -13, 78, -24, 42]
  Compare 63 and 34
  Swap 63 and 34
  List after swap: [-77, 14, -100, 17, 34, 63, -13, 78, -24, 42]
  Compare 63 and -13
  Swap 63 and -13
  List after swap: [-77, 14, -100, 17, 34, -13, 63, 78, -24, 42]
  Compare 63 and 78
  No swap needed
  Compare 78 and -24
  Swap 78 and -24
  List after swap: [-77, 14, -100, 17, 34, -13, 63, -24, 78, 42]
  Compare 78 and 42
  Swap 78 and 42
  List after swap: [-77, 14, -100, 17, 34, -13, 63, -24, 42, 78]

Pass 2:
  Compare -77 and 14
  No swap needed
  Compare 14 and -100
  Swap 14 and -100
  List after swap: [-77, -100, 14, 17, 34, -13, 63, -24, 42, 78]
  Compare 14 and 17
  No swap needed
  Compare 17 and 34
  No swap needed
  Compare 34 and -13
  Swap 34 and -13
  List after swap: [-77, -100, 14, 17, -13, 34, 63, -24, 42, 78]
  Compare 34 and 63
  No swap needed
  Compare 63 and -24
  Swap 63 and -24
  List after swap: [-77, -100, 14, 17, -13, 34, -24, 63, 42, 78]
  Compare 63 and 42
  Swap 63 and 42
  List after swap: [-77, -100, 14, 17, -13, 34, -24, 42, 63, 78]

Pass 3:
  Compare -77 and -100
  Swap -77 and -100
  List after swap: [-100, -77, 14, 17, -13, 34, -24, 42, 63, 78]
  Compare -77 and 14
  No swap needed
  Compare 14 and 17
  No swap needed
  Compare 17 and -13
  Swap 17 and -13
  List after swap: [-100, -77, 14, -13, 17, 34, -24, 42, 63, 78]
  Compare 17 and 34
  No swap needed
  Compare 34 and -24
  Swap 34 and -24
  List after swap: [-100, -77, 14, -13, 17, -24, 34, 42, 63, 78]
  Compare 34 and 42
  No swap needed

Pass 4:
  Compare -100 and -77
  No swap needed
  Compare -77 and 14
  No swap needed
  Compare 14 and -13
  Swap 14 and -13
  List after swap: [-100, -77, -13, 14, 17, -24, 34, 42, 63, 78]
  Compare 14 and 17
  No swap needed
  Compare 17 and -24
  Swap 17 and -24
  List after swap: [-100, -77, -13, 14, -24, 17, 34, 42, 63, 78]
  Compare 17 and 34
  No swap needed

Pass 5:
  Compare -100 and -77
  No swap needed
  Compare -77 and -13
  No swap needed
  Compare -13 and 14
  No swap needed
  Compare 14 and -24
  Swap 14 and -24
  List after swap: [-100, -77, -13, -24, 14, 17, 34, 42, 63, 78]
  Compare 14 and 17
  No swap needed

Pass 6:
  Compare -100 and -77
  No swap needed
  Compare -77 and -13
  No swap needed
  Compare -13 and -24
  Swap -13 and -24
  List after swap: [-100, -77, -24, -13, 14, 17, 34, 42, 63, 78]
  Compare -13 and 14
  No swap needed

Pass 7:
  Compare -100 and -77
  No swap needed
  Compare -77 and -24
  No swap needed
  Compare -24 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -77, -24, -13, 14, 17, 34, 42, 63, 78]
</think>

<response>-100, -77, -24, -13, 14, 17, 34, 42, 63, 78</response>


input: Use the bubble sort technique to reorder -6, 68, -58 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-6, 68, -58]

Pass 1:
  Compare -6 and 68
  No swap needed
  Compare 68 and -58
  Swap 68 and -58
  List after swap: [-6, -58, 68]

Pass 2:
  Compare -6 and -58
  Swap -6 and -58
  List after swap: [-58, -6, 68]

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

Final sorted list: [-58, -6, 68]
</think>

<response>-58, -6, 68</response>


input: Perform a bubble sort on the integers 63, 77, 68, 62, 41, 46, 70, 94, 54, 20, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [63, 77, 68, 62, 41, 46, 70, 94, 54, 20]

Pass 1:
  Compare 63 and 77
  No swap needed
  Compare 77 and 68
  Swap 77 and 68
  List after swap: [63, 68, 77, 62, 41, 46, 70, 94, 54, 20]
  Compare 77 and 62
  Swap 77 and 62
  List after swap: [63, 68, 62, 77, 41, 46, 70, 94, 54, 20]
  Compare 77 and 41
  Swap 77 and 41
  List after swap: [63, 68, 62, 41, 77, 46, 70, 94, 54, 20]
  Compare 77 and 46
  Swap 77 and 46
  List after swap: [63, 68, 62, 41, 46, 77, 70, 94, 54, 20]
  Compare 77 and 70
  Swap 77 and 70
  List after swap: [63, 68, 62, 41, 46, 70, 77, 94, 54, 20]
  Compare 77 and 94
  No swap needed
  Compare 94 and 54
  Swap 94 and 54
  List after swap: [63, 68, 62, 41, 46, 70, 77, 54, 94, 20]
  Compare 94 and 20
  Swap 94 and 20
  List after swap: [63, 68, 62, 41, 46, 70, 77, 54, 20, 94]

Pass 2:
  Compare 63 and 68
  No swap needed
  Compare 68 and 62
  Swap 68 and 62
  List after swap: [63, 62, 68, 41, 46, 70, 77, 54, 20, 94]
  Compare 68 and 41
  Swap 68 and 41
  List after swap: [63, 62, 41, 68, 46, 70, 77, 54, 20, 94]
  Compare 68 and 46
  Swap 68 and 46
  List after swap: [63, 62, 41, 46, 68, 70, 77, 54, 20, 94]
  Compare 68 and 70
  No swap needed
  Compare 70 and 77
  No swap needed
  Compare 77 and 54
  Swap 77 and 54
  List after swap: [63, 62, 41, 46, 68, 70, 54, 77, 20, 94]
  Compare 77 and 20
  Swap 77 and 20
  List after swap: [63, 62, 41, 46, 68, 70, 54, 20, 77, 94]

Pass 3:
  Compare 63 and 62
  Swap 63 and 62
  List after swap: [62, 63, 41, 46, 68, 70, 54, 20, 77, 94]
  Compare 63 and 41
  Swap 63 and 41
  List after swap: [62, 41, 63, 46, 68, 70, 54, 20, 77, 94]
  Compare 63 and 46
  Swap 63 and 46
  List after swap: [62, 41, 46, 63, 68, 70, 54, 20, 77, 94]
  Compare 63 and 68
  No swap needed
  Compare 68 and 70
  No swap needed
  Compare 70 and 54
  Swap 70 and 54
  List after swap: [62, 41, 46, 63, 68, 54, 70, 20, 77, 94]
  Compare 70 and 20
  Swap 70 and 20
  List after swap: [62, 41, 46, 63, 68, 54, 20, 70, 77, 94]

Pass 4:
  Compare 62 and 41
  Swap 62 and 41
  List after swap: [41, 62, 46, 63, 68, 54, 20, 70, 77, 94]
  Compare 62 and 46
  Swap 62 and 46
  List after swap: [41, 46, 62, 63, 68, 54, 20, 70, 77, 94]
  Compare 62 and 63
  No swap needed
  Compare 63 and 68
  No swap needed
  Compare 68 and 54
  Swap 68 and 54
  List after swap: [41, 46, 62, 63, 54, 68, 20, 70, 77, 94]
  Compare 68 and 20
  Swap 68 and 20
  List after swap: [41, 46, 62, 63, 54, 20, 68, 70, 77, 94]

Pass 5:
  Compare 41 and 46
  No swap needed
  Compare 46 and 62
  No swap needed
  Compare 62 and 63
  No swap needed
  Compare 63 and 54
  Swap 63 and 54
  List after swap: [41, 46, 62, 54, 63, 20, 68, 70, 77, 94]
  Compare 63 and 20
  Swap 63 and 20
  List after swap: [41, 46, 62, 54, 20, 63, 68, 70, 77, 94]

Pass 6:
  Compare 41 and 46
  No swap needed
  Compare 46 and 62
  No swap needed
  Compare 62 and 54
  Swap 62 and 54
  List after swap: [41, 46, 54, 62, 20, 63, 68, 70, 77, 94]
  Compare 62 and 20
  Swap 62 and 20
  List after swap: [41, 46, 54, 20, 62, 63, 68, 70, 77, 94]

Pass 7:
  Compare 41 and 46
  No swap needed
  Compare 46 and 54
  No swap needed
  Compare 54 and 20
  Swap 54 and 20
  List after swap: [41, 46, 20, 54, 62, 63, 68, 70, 77, 94]

Pass 8:
  Compare 41 and 46
  No swap needed
  Compare 46 and 20
  Swap 46 and 20
  List after swap: [41, 20, 46, 54, 62, 63, 68, 70, 77, 94]

Pass 9:
  Compare 41 and 20
  Swap 41 and 20
  List after swap: [20, 41, 46, 54, 62, 63, 68, 70, 77, 94]

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

Final sorted list: [20, 41, 46, 54, 62, 63, 68, 70, 77, 94]
</think>

<response>20, 41, 46, 54, 62, 63, 68, 70, 77, 94</response>


input: Using the bubble sort method, sort 11, -32, -84, -58, -74, -61 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [11, -32, -84, -58, -74, -61]

Pass 1:
  Compare 11 and -32
  Swap 11 and -32
  List after swap: [-32, 11, -84, -58, -74, -61]
  Compare 11 and -84
  Swap 11 and -84
  List after swap: [-32, -84, 11, -58, -74, -61]
  Compare 11 and -58
  Swap 11 and -58
  List after swap: [-32, -84, -58, 11, -74, -61]
  Compare 11 and -74
  Swap 11 and -74
  List after swap: [-32, -84, -58, -74, 11, -61]
  Compare 11 and -61
  Swap 11 and -61
  List after swap: [-32, -84, -58, -74, -61, 11]

Pass 2:
  Compare -32 and -84
  Swap -32 and -84
  List after swap: [-84, -32, -58, -74, -61, 11]
  Compare -32 and -58
  Swap -32 and -58
  List after swap: [-84, -58, -32, -74, -61, 11]
  Compare -32 and -74
  Swap -32 and -74
  List after swap: [-84, -58, -74, -32, -61, 11]
  Compare -32 and -61
  Swap -32 and -61
  List after swap: [-84, -58, -74, -61, -32, 11]

Pass 3:
  Compare -84 and -58
  No swap needed
  Compare -58 and -74
  Swap -58 and -74
  List after swap: [-84, -74, -58, -61, -32, 11]
  Compare -58 and -61
  Swap -58 and -61
  List after swap: [-84, -74, -61, -58, -32, 11]

Pass 4:
  Compare -84 and -74
  No swap needed
  Compare -74 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -74, -61, -58, -32, 11]
</think>

<response>-84, -74, -61, -58, -32, 11</response>


input: Sort the list 83, 11, 9, 68, 91, -1, -77, 18, -94, 1 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [83, 11, 9, 68, 91, -1, -77, 18, -94, 1]

Pass 1:
  Compare 83 and 11
  Swap 83 and 11
  List after swap: [11, 83, 9, 68, 91, -1, -77, 18, -94, 1]
  Compare 83 and 9
  Swap 83 and 9
  List after swap: [11, 9, 83, 68, 91, -1, -77, 18, -94, 1]
  Compare 83 and 68
  Swap 83 and 68
  List after swap: [11, 9, 68, 83, 91, -1, -77, 18, -94, 1]
  Compare 83 and 91
  No swap needed
  Compare 91 and -1
  Swap 91 and -1
  List after swap: [11, 9, 68, 83, -1, 91, -77, 18, -94, 1]
  Compare 91 and -77
  Swap 91 and -77
  List after swap: [11, 9, 68, 83, -1, -77, 91, 18, -94, 1]
  Compare 91 and 18
  Swap 91 and 18
  List after swap: [11, 9, 68, 83, -1, -77, 18, 91, -94, 1]
  Compare 91 and -94
  Swap 91 and -94
  List after swap: [11, 9, 68, 83, -1, -77, 18, -94, 91, 1]
  Compare 91 and 1
  Swap 91 and 1
  List after swap: [11, 9, 68, 83, -1, -77, 18, -94, 1, 91]

Pass 2:
  Compare 11 and 9
  Swap 11 and 9
  List after swap: [9, 11, 68, 83, -1, -77, 18, -94, 1, 91]
  Compare 11 and 68
  No swap needed
  Compare 68 and 83
  No swap needed
  Compare 83 and -1
  Swap 83 and -1
  List after swap: [9, 11, 68, -1, 83, -77, 18, -94, 1, 91]
  Compare 83 and -77
  Swap 83 and -77
  List after swap: [9, 11, 68, -1, -77, 83, 18, -94, 1, 91]
  Compare 83 and 18
  Swap 83 and 18
  List after swap: [9, 11, 68, -1, -77, 18, 83, -94, 1, 91]
  Compare 83 and -94
  Swap 83 and -94
  List after swap: [9, 11, 68, -1, -77, 18, -94, 83, 1, 91]
  Compare 83 and 1
  Swap 83 and 1
  List after swap: [9, 11, 68, -1, -77, 18, -94, 1, 83, 91]

Pass 3:
  Compare 9 and 11
  No swap needed
  Compare 11 and 68
  No swap needed
  Compare 68 and -1
  Swap 68 and -1
  List after swap: [9, 11, -1, 68, -77, 18, -94, 1, 83, 91]
  Compare 68 and -77
  Swap 68 and -77
  List after swap: [9, 11, -1, -77, 68, 18, -94, 1, 83, 91]
  Compare 68 and 18
  Swap 68 and 18
  List after swap: [9, 11, -1, -77, 18, 68, -94, 1, 83, 91]
  Compare 68 and -94
  Swap 68 and -94
  List after swap: [9, 11, -1, -77, 18, -94, 68, 1, 83, 91]
  Compare 68 and 1
  Swap 68 and 1
  List after swap: [9, 11, -1, -77, 18, -94, 1, 68, 83, 91]

Pass 4:
  Compare 9 and 11
  No swap needed
  Compare 11 and -1
  Swap 11 and -1
  List after swap: [9, -1, 11, -77, 18, -94, 1, 68, 83, 91]
  Compare 11 and -77
  Swap 11 and -77
  List after swap: [9, -1, -77, 11, 18, -94, 1, 68, 83, 91]
  Compare 11 and 18
  No swap needed
  Compare 18 and -94
  Swap 18 and -94
  List after swap: [9, -1, -77, 11, -94, 18, 1, 68, 83, 91]
  Compare 18 and 1
  Swap 18 and 1
  List after swap: [9, -1, -77, 11, -94, 1, 18, 68, 83, 91]

Pass 5:
  Compare 9 and -1
  Swap 9 and -1
  List after swap: [-1, 9, -77, 11, -94, 1, 18, 68, 83, 91]
  Compare 9 and -77
  Swap 9 and -77
  List after swap: [-1, -77, 9, 11, -94, 1, 18, 68, 83, 91]
  Compare 9 and 11
  No swap needed
  Compare 11 and -94
  Swap 11 and -94
  List after swap: [-1, -77, 9, -94, 11, 1, 18, 68, 83, 91]
  Compare 11 and 1
  Swap 11 and 1
  List after swap: [-1, -77, 9, -94, 1, 11, 18, 68, 83, 91]

Pass 6:
  Compare -1 and -77
  Swap -1 and -77
  List after swap: [-77, -1, 9, -94, 1, 11, 18, 68, 83, 91]
  Compare -1 and 9
  No swap needed
  Compare 9 and -94
  Swap 9 and -94
  List after swap: [-77, -1, -94, 9, 1, 11, 18, 68, 83, 91]
  Compare 9 and 1
  Swap 9 and 1
  List after swap: [-77, -1, -94, 1, 9, 11, 18, 68, 83, 91]

Pass 7:
  Compare -77 and -1
  No swap needed
  Compare -1 and -94
  Swap -1 and -94
  List after swap: [-77, -94, -1, 1, 9, 11, 18, 68, 83, 91]
  Compare -1 and 1
  No swap needed

Pass 8:
  Compare -77 and -94
  Swap -77 and -94
  List after swap: [-94, -77, -1, 1, 9, 11, 18, 68, 83, 91]
  Compare -77 and -1
  No swap needed

Pass 9:
  Compare -94 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -77, -1, 1, 9, 11, 18, 68, 83, 91]
</think>

<response>-94, -77, -1, 1, 9, 11, 18, 68, 83, 91</response>


input: Sort the list -39, 29, -98, -35, -65, 75, -67, 17 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-39, 29, -98, -35, -65, 75, -67, 17]

Pass 1:
  Compare -39 and 29
  No swap needed
  Compare 29 and -98
  Swap 29 and -98
  List after swap: [-39, -98, 29, -35, -65, 75, -67, 17]
  Compare 29 and -35
  Swap 29 and -35
  List after swap: [-39, -98, -35, 29, -65, 75, -67, 17]
  Compare 29 and -65
  Swap 29 and -65
  List after swap: [-39, -98, -35, -65, 29, 75, -67, 17]
  Compare 29 and 75
  No swap needed
  Compare 75 and -67
  Swap 75 and -67
  List after swap: [-39, -98, -35, -65, 29, -67, 75, 17]
  Compare 75 and 17
  Swap 75 and 17
  List after swap: [-39, -98, -35, -65, 29, -67, 17, 75]

Pass 2:
  Compare -39 and -98
  Swap -39 and -98
  List after swap: [-98, -39, -35, -65, 29, -67, 17, 75]
  Compare -39 and -35
  No swap needed
  Compare -35 and -65
  Swap -35 and -65
  List after swap: [-98, -39, -65, -35, 29, -67, 17, 75]
  Compare -35 and 29
  No swap needed
  Compare 29 and -67
  Swap 29 and -67
  List after swap: [-98, -39, -65, -35, -67, 29, 17, 75]
  Compare 29 and 17
  Swap 29 and 17
  List after swap: [-98, -39, -65, -35, -67, 17, 29, 75]

Pass 3:
  Compare -98 and -39
  No swap needed
  Compare -39 and -65
  Swap -39 and -65
  List after swap: [-98, -65, -39, -35, -67, 17, 29, 75]
  Compare -39 and -35
  No swap needed
  Compare -35 and -67
  Swap -35 and -67
  List after swap: [-98, -65, -39, -67, -35, 17, 29, 75]
  Compare -35 and 17
  No swap needed

Pass 4:
  Compare -98 and -65
  No swap needed
  Compare -65 and -39
  No swap needed
  Compare -39 and -67
  Swap -39 and -67
  List after swap: [-98, -65, -67, -39, -35, 17, 29, 75]
  Compare -39 and -35
  No swap needed

Pass 5:
  Compare -98 and -65
  No swap needed
  Compare -65 and -67
  Swap -65 and -67
  List after swap: [-98, -67, -65, -39, -35, 17, 29, 75]
  Compare -65 and -39
  No swap needed

Pass 6:
  Compare -98 and -67
  No swap needed
  Compare -67 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -67, -65, -39, -35, 17, 29, 75]
</think>

<response>-98, -67, -65, -39, -35, 17, 29, 75</response>


input: Using the bubble sort method, sort 83, -64 from lowest to highest and provide a step-by-step breakdown.

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

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

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

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

<response>-64, 83</response>


input: Perform a bubble sort on the integers 38, -35, -19, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [38, -35, -19]

Pass 1:
  Compare 38 and -35
  Swap 38 and -35
  List after swap: [-35, 38, -19]
  Compare 38 and -19
  Swap 38 and -19
  List after swap: [-35, -19, 38]

Pass 2:
  Compare -35 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -19, 38]
</think>

<response>-35, -19, 38</response>


input: Carry out the bubble sort algorithm on -54, 44, 96, -75, -76, 16, 87, 91 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-54, 44, 96, -75, -76, 16, 87, 91]

Pass 1:
  Compare -54 and 44
  No swap needed
  Compare 44 and 96
  No swap needed
  Compare 96 and -75
  Swap 96 and -75
  List after swap: [-54, 44, -75, 96, -76, 16, 87, 91]
  Compare 96 and -76
  Swap 96 and -76
  List after swap: [-54, 44, -75, -76, 96, 16, 87, 91]
  Compare 96 and 16
  Swap 96 and 16
  List after swap: [-54, 44, -75, -76, 16, 96, 87, 91]
  Compare 96 and 87
  Swap 96 and 87
  List after swap: [-54, 44, -75, -76, 16, 87, 96, 91]
  Compare 96 and 91
  Swap 96 and 91
  List after swap: [-54, 44, -75, -76, 16, 87, 91, 96]

Pass 2:
  Compare -54 and 44
  No swap needed
  Compare 44 and -75
  Swap 44 and -75
  List after swap: [-54, -75, 44, -76, 16, 87, 91, 96]
  Compare 44 and -76
  Swap 44 and -76
  List after swap: [-54, -75, -76, 44, 16, 87, 91, 96]
  Compare 44 and 16
  Swap 44 and 16
  List after swap: [-54, -75, -76, 16, 44, 87, 91, 96]
  Compare 44 and 87
  No swap needed
  Compare 87 and 91
  No swap needed

Pass 3:
  Compare -54 and -75
  Swap -54 and -75
  List after swap: [-75, -54, -76, 16, 44, 87, 91, 96]
  Compare -54 and -76
  Swap -54 and -76
  List after swap: [-75, -76, -54, 16, 44, 87, 91, 96]
  Compare -54 and 16
  No swap needed
  Compare 16 and 44
  No swap needed
  Compare 44 and 87
  No swap needed

Pass 4:
  Compare -75 and -76
  Swap -75 and -76
  List after swap: [-76, -75, -54, 16, 44, 87, 91, 96]
  Compare -75 and -54
  No swap needed
  Compare -54 and 16
  No swap needed
  Compare 16 and 44
  No swap needed

Pass 5:
  Compare -76 and -75
  No swap needed
  Compare -75 and -54
  No swap needed
  Compare -54 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -75, -54, 16, 44, 87, 91, 96]
</think>

<response>-76, -75, -54, 16, 44, 87, 91, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 54, 90, -72, 53, 49, -7, -6, -92, 55.

output:
<think>
Initial list: [54, 90, -72, 53, 49, -7, -6, -92, 55]

Pass 1:
  Compare 54 and 90
  No swap needed
  Compare 90 and -72
  Swap 90 and -72
  List after swap: [54, -72, 90, 53, 49, -7, -6, -92, 55]
  Compare 90 and 53
  Swap 90 and 53
  List after swap: [54, -72, 53, 90, 49, -7, -6, -92, 55]
  Compare 90 and 49
  Swap 90 and 49
  List after swap: [54, -72, 53, 49, 90, -7, -6, -92, 55]
  Compare 90 and -7
  Swap 90 and -7
  List after swap: [54, -72, 53, 49, -7, 90, -6, -92, 55]
  Compare 90 and -6
  Swap 90 and -6
  List after swap: [54, -72, 53, 49, -7, -6, 90, -92, 55]
  Compare 90 and -92
  Swap 90 and -92
  List after swap: [54, -72, 53, 49, -7, -6, -92, 90, 55]
  Compare 90 and 55
  Swap 90 and 55
  List after swap: [54, -72, 53, 49, -7, -6, -92, 55, 90]

Pass 2:
  Compare 54 and -72
  Swap 54 and -72
  List after swap: [-72, 54, 53, 49, -7, -6, -92, 55, 90]
  Compare 54 and 53
  Swap 54 and 53
  List after swap: [-72, 53, 54, 49, -7, -6, -92, 55, 90]
  Compare 54 and 49
  Swap 54 and 49
  List after swap: [-72, 53, 49, 54, -7, -6, -92, 55, 90]
  Compare 54 and -7
  Swap 54 and -7
  List after swap: [-72, 53, 49, -7, 54, -6, -92, 55, 90]
  Compare 54 and -6
  Swap 54 and -6
  List after swap: [-72, 53, 49, -7, -6, 54, -92, 55, 90]
  Compare 54 and -92
  Swap 54 and -92
  List after swap: [-72, 53, 49, -7, -6, -92, 54, 55, 90]
  Compare 54 and 55
  No swap needed

Pass 3:
  Compare -72 and 53
  No swap needed
  Compare 53 and 49
  Swap 53 and 49
  List after swap: [-72, 49, 53, -7, -6, -92, 54, 55, 90]
  Compare 53 and -7
  Swap 53 and -7
  List after swap: [-72, 49, -7, 53, -6, -92, 54, 55, 90]
  Compare 53 and -6
  Swap 53 and -6
  List after swap: [-72, 49, -7, -6, 53, -92, 54, 55, 90]
  Compare 53 and -92
  Swap 53 and -92
  List after swap: [-72, 49, -7, -6, -92, 53, 54, 55, 90]
  Compare 53 and 54
  No swap needed

Pass 4:
  Compare -72 and 49
  No swap needed
  Compare 49 and -7
  Swap 49 and -7
  List after swap: [-72, -7, 49, -6, -92, 53, 54, 55, 90]
  Compare 49 and -6
  Swap 49 and -6
  List after swap: [-72, -7, -6, 49, -92, 53, 54, 55, 90]
  Compare 49 and -92
  Swap 49 and -92
  List after swap: [-72, -7, -6, -92, 49, 53, 54, 55, 90]
  Compare 49 and 53
  No swap needed

Pass 5:
  Compare -72 and -7
  No swap needed
  Compare -7 and -6
  No swap needed
  Compare -6 and -92
  Swap -6 and -92
  List after swap: [-72, -7, -92, -6, 49, 53, 54, 55, 90]
  Compare -6 and 49
  No swap needed

Pass 6:
  Compare -72 and -7
  No swap needed
  Compare -7 and -92
  Swap -7 and -92
  List after swap: [-72, -92, -7, -6, 49, 53, 54, 55, 90]
  Compare -7 and -6
  No swap needed

Pass 7:
  Compare -72 and -92
  Swap -72 and -92
  List after swap: [-92, -72, -7, -6, 49, 53, 54, 55, 90]
  Compare -72 and -7
  No swap needed

Pass 8:
  Compare -92 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -72, -7, -6, 49, 53, 54, 55, 90]
</think>

<response>-92, -72, -7, -6, 49, 53, 54, 55, 90</response>


input: Carry out the bubble sort algorithm on -78, -90, -9, -99, -27, -91, 74, 63, 29, -61 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-78, -90, -9, -99, -27, -91, 74, 63, 29, -61]

Pass 1:
  Compare -78 and -90
  Swap -78 and -90
  List after swap: [-90, -78, -9, -99, -27, -91, 74, 63, 29, -61]
  Compare -78 and -9
  No swap needed
  Compare -9 and -99
  Swap -9 and -99
  List after swap: [-90, -78, -99, -9, -27, -91, 74, 63, 29, -61]
  Compare -9 and -27
  Swap -9 and -27
  List after swap: [-90, -78, -99, -27, -9, -91, 74, 63, 29, -61]
  Compare -9 and -91
  Swap -9 and -91
  List after swap: [-90, -78, -99, -27, -91, -9, 74, 63, 29, -61]
  Compare -9 and 74
  No swap needed
  Compare 74 and 63
  Swap 74 and 63
  List after swap: [-90, -78, -99, -27, -91, -9, 63, 74, 29, -61]
  Compare 74 and 29
  Swap 74 and 29
  List after swap: [-90, -78, -99, -27, -91, -9, 63, 29, 74, -61]
  Compare 74 and -61
  Swap 74 and -61
  List after swap: [-90, -78, -99, -27, -91, -9, 63, 29, -61, 74]

Pass 2:
  Compare -90 and -78
  No swap needed
  Compare -78 and -99
  Swap -78 and -99
  List after swap: [-90, -99, -78, -27, -91, -9, 63, 29, -61, 74]
  Compare -78 and -27
  No swap needed
  Compare -27 and -91
  Swap -27 and -91
  List after swap: [-90, -99, -78, -91, -27, -9, 63, 29, -61, 74]
  Compare -27 and -9
  No swap needed
  Compare -9 and 63
  No swap needed
  Compare 63 and 29
  Swap 63 and 29
  List after swap: [-90, -99, -78, -91, -27, -9, 29, 63, -61, 74]
  Compare 63 and -61
  Swap 63 and -61
  List after swap: [-90, -99, -78, -91, -27, -9, 29, -61, 63, 74]

Pass 3:
  Compare -90 and -99
  Swap -90 and -99
  List after swap: [-99, -90, -78, -91, -27, -9, 29, -61, 63, 74]
  Compare -90 and -78
  No swap needed
  Compare -78 and -91
  Swap -78 and -91
  List after swap: [-99, -90, -91, -78, -27, -9, 29, -61, 63, 74]
  Compare -78 and -27
  No swap needed
  Compare -27 and -9
  No swap needed
  Compare -9 and 29
  No swap needed
  Compare 29 and -61
  Swap 29 and -61
  List after swap: [-99, -90, -91, -78, -27, -9, -61, 29, 63, 74]

Pass 4:
  Compare -99 and -90
  No swap needed
  Compare -90 and -91
  Swap -90 and -91
  List after swap: [-99, -91, -90, -78, -27, -9, -61, 29, 63, 74]
  Compare -90 and -78
  No swap needed
  Compare -78 and -27
  No swap needed
  Compare -27 and -9
  No swap needed
  Compare -9 and -61
  Swap -9 and -61
  List after swap: [-99, -91, -90, -78, -27, -61, -9, 29, 63, 74]

Pass 5:
  Compare -99 and -91
  No swap needed
  Compare -91 and -90
  No swap needed
  Compare -90 and -78
  No swap needed
  Compare -78 and -27
  No swap needed
  Compare -27 and -61
  Swap -27 and -61
  List after swap: [-99, -91, -90, -78, -61, -27, -9, 29, 63, 74]

Pass 6:
  Compare -99 and -91
  No swap needed
  Compare -91 and -90
  No swap needed
  Compare -90 and -78
  No swap needed
  Compare -78 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -91, -90, -78, -61, -27, -9, 29, 63, 74]
</think>

<response>-99, -91, -90, -78, -61, -27, -9, 29, 63, 74</response>


input: Using the bubble sort method, sort 96, 19, -57, 91, 83 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [96, 19, -57, 91, 83]

Pass 1:
  Compare 96 and 19
  Swap 96 and 19
  List after swap: [19, 96, -57, 91, 83]
  Compare 96 and -57
  Swap 96 and -57
  List after swap: [19, -57, 96, 91, 83]
  Compare 96 and 91
  Swap 96 and 91
  List after swap: [19, -57, 91, 96, 83]
  Compare 96 and 83
  Swap 96 and 83
  List after swap: [19, -57, 91, 83, 96]

Pass 2:
  Compare 19 and -57
  Swap 19 and -57
  List after swap: [-57, 19, 91, 83, 96]
  Compare 19 and 91
  No swap needed
  Compare 91 and 83
  Swap 91 and 83
  List after swap: [-57, 19, 83, 91, 96]

Pass 3:
  Compare -57 and 19
  No swap needed
  Compare 19 and 83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, 19, 83, 91, 96]
</think>

<response>-57, 19, 83, 91, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -20, 16, 56, -37, 7, -85, -29.

output:
<think>
Initial list: [-20, 16, 56, -37, 7, -85, -29]

Pass 1:
  Compare -20 and 16
  No swap needed
  Compare 16 and 56
  No swap needed
  Compare 56 and -37
  Swap 56 and -37
  List after swap: [-20, 16, -37, 56, 7, -85, -29]
  Compare 56 and 7
  Swap 56 and 7
  List after swap: [-20, 16, -37, 7, 56, -85, -29]
  Compare 56 and -85
  Swap 56 and -85
  List after swap: [-20, 16, -37, 7, -85, 56, -29]
  Compare 56 and -29
  Swap 56 and -29
  List after swap: [-20, 16, -37, 7, -85, -29, 56]

Pass 2:
  Compare -20 and 16
  No swap needed
  Compare 16 and -37
  Swap 16 and -37
  List after swap: [-20, -37, 16, 7, -85, -29, 56]
  Compare 16 and 7
  Swap 16 and 7
  List after swap: [-20, -37, 7, 16, -85, -29, 56]
  Compare 16 and -85
  Swap 16 and -85
  List after swap: [-20, -37, 7, -85, 16, -29, 56]
  Compare 16 and -29
  Swap 16 and -29
  List after swap: [-20, -37, 7, -85, -29, 16, 56]

Pass 3:
  Compare -20 and -37
  Swap -20 and -37
  List after swap: [-37, -20, 7, -85, -29, 16, 56]
  Compare -20 and 7
  No swap needed
  Compare 7 and -85
  Swap 7 and -85
  List after swap: [-37, -20, -85, 7, -29, 16, 56]
  Compare 7 and -29
  Swap 7 and -29
  List after swap: [-37, -20, -85, -29, 7, 16, 56]

Pass 4:
  Compare -37 and -20
  No swap needed
  Compare -20 and -85
  Swap -20 and -85
  List after swap: [-37, -85, -20, -29, 7, 16, 56]
  Compare -20 and -29
  Swap -20 and -29
  List after swap: [-37, -85, -29, -20, 7, 16, 56]

Pass 5:
  Compare -37 and -85
  Swap -37 and -85
  List after swap: [-85, -37, -29, -20, 7, 16, 56]
  Compare -37 and -29
  No swap needed

Pass 6:
  Compare -85 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -37, -29, -20, 7, 16, 56]
</think>

<response>-85, -37, -29, -20, 7, 16, 56</response>


input: Demonstrate how bubble sort orders the integers -79, 53, -69, 40, -66, -67, -76 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-79, 53, -69, 40, -66, -67, -76]

Pass 1:
  Compare -79 and 53
  No swap needed
  Compare 53 and -69
  Swap 53 and -69
  List after swap: [-79, -69, 53, 40, -66, -67, -76]
  Compare 53 and 40
  Swap 53 and 40
  List after swap: [-79, -69, 40, 53, -66, -67, -76]
  Compare 53 and -66
  Swap 53 and -66
  List after swap: [-79, -69, 40, -66, 53, -67, -76]
  Compare 53 and -67
  Swap 53 and -67
  List after swap: [-79, -69, 40, -66, -67, 53, -76]
  Compare 53 and -76
  Swap 53 and -76
  List after swap: [-79, -69, 40, -66, -67, -76, 53]

Pass 2:
  Compare -79 and -69
  No swap needed
  Compare -69 and 40
  No swap needed
  Compare 40 and -66
  Swap 40 and -66
  List after swap: [-79, -69, -66, 40, -67, -76, 53]
  Compare 40 and -67
  Swap 40 and -67
  List after swap: [-79, -69, -66, -67, 40, -76, 53]
  Compare 40 and -76
  Swap 40 and -76
  List after swap: [-79, -69, -66, -67, -76, 40, 53]

Pass 3:
  Compare -79 and -69
  No swap needed
  Compare -69 and -66
  No swap needed
  Compare -66 and -67
  Swap -66 and -67
  List after swap: [-79, -69, -67, -66, -76, 40, 53]
  Compare -66 and -76
  Swap -66 and -76
  List after swap: [-79, -69, -67, -76, -66, 40, 53]

Pass 4:
  Compare -79 and -69
  No swap needed
  Compare -69 and -67
  No swap needed
  Compare -67 and -76
  Swap -67 and -76
  List after swap: [-79, -69, -76, -67, -66, 40, 53]

Pass 5:
  Compare -79 and -69
  No swap needed
  Compare -69 and -76
  Swap -69 and -76
  List after swap: [-79, -76, -69, -67, -66, 40, 53]

Pass 6:
  Compare -79 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -76, -69, -67, -66, 40, 53]
</think>

<response>-79, -76, -69, -67, -66, 40, 53</response>


input: Sort the list 60, -20, -73, -97, -35, -79, 28, -29 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [60, -20, -73, -97, -35, -79, 28, -29]

Pass 1:
  Compare 60 and -20
  Swap 60 and -20
  List after swap: [-20, 60, -73, -97, -35, -79, 28, -29]
  Compare 60 and -73
  Swap 60 and -73
  List after swap: [-20, -73, 60, -97, -35, -79, 28, -29]
  Compare 60 and -97
  Swap 60 and -97
  List after swap: [-20, -73, -97, 60, -35, -79, 28, -29]
  Compare 60 and -35
  Swap 60 and -35
  List after swap: [-20, -73, -97, -35, 60, -79, 28, -29]
  Compare 60 and -79
  Swap 60 and -79
  List after swap: [-20, -73, -97, -35, -79, 60, 28, -29]
  Compare 60 and 28
  Swap 60 and 28
  List after swap: [-20, -73, -97, -35, -79, 28, 60, -29]
  Compare 60 and -29
  Swap 60 and -29
  List after swap: [-20, -73, -97, -35, -79, 28, -29, 60]

Pass 2:
  Compare -20 and -73
  Swap -20 and -73
  List after swap: [-73, -20, -97, -35, -79, 28, -29, 60]
  Compare -20 and -97
  Swap -20 and -97
  List after swap: [-73, -97, -20, -35, -79, 28, -29, 60]
  Compare -20 and -35
  Swap -20 and -35
  List after swap: [-73, -97, -35, -20, -79, 28, -29, 60]
  Compare -20 and -79
  Swap -20 and -79
  List after swap: [-73, -97, -35, -79, -20, 28, -29, 60]
  Compare -20 and 28
  No swap needed
  Compare 28 and -29
  Swap 28 and -29
  List after swap: [-73, -97, -35, -79, -20, -29, 28, 60]

Pass 3:
  Compare -73 and -97
  Swap -73 and -97
  List after swap: [-97, -73, -35, -79, -20, -29, 28, 60]
  Compare -73 and -35
  No swap needed
  Compare -35 and -79
  Swap -35 and -79
  List after swap: [-97, -73, -79, -35, -20, -29, 28, 60]
  Compare -35 and -20
  No swap needed
  Compare -20 and -29
  Swap -20 and -29
  List after swap: [-97, -73, -79, -35, -29, -20, 28, 60]

Pass 4:
  Compare -97 and -73
  No swap needed
  Compare -73 and -79
  Swap -73 and -79
  List after swap: [-97, -79, -73, -35, -29, -20, 28, 60]
  Compare -73 and -35
  No swap needed
  Compare -35 and -29
  No swap needed

Pass 5:
  Compare -97 and -79
  No swap needed
  Compare -79 and -73
  No swap needed
  Compare -73 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -79, -73, -35, -29, -20, 28, 60]
</think>

<response>-97, -79, -73, -35, -29, -20, 28, 60</response>


input: Sort these integers 45, 27, 2 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [45, 27, 2]

Pass 1:
  Compare 45 and 27
  Swap 45 and 27
  List after swap: [27, 45, 2]
  Compare 45 and 2
  Swap 45 and 2
  List after swap: [27, 2, 45]

Pass 2:
  Compare 27 and 2
  Swap 27 and 2
  List after swap: [2, 27, 45]

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

Final sorted list: [2, 27, 45]
</think>

<response>2, 27, 45</response>


input: Sort these integers 54, 93, 18, -59, 42, -7, 61 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [54, 93, 18, -59, 42, -7, 61]

Pass 1:
  Compare 54 and 93
  No swap needed
  Compare 93 and 18
  Swap 93 and 18
  List after swap: [54, 18, 93, -59, 42, -7, 61]
  Compare 93 and -59
  Swap 93 and -59
  List after swap: [54, 18, -59, 93, 42, -7, 61]
  Compare 93 and 42
  Swap 93 and 42
  List after swap: [54, 18, -59, 42, 93, -7, 61]
  Compare 93 and -7
  Swap 93 and -7
  List after swap: [54, 18, -59, 42, -7, 93, 61]
  Compare 93 and 61
  Swap 93 and 61
  List after swap: [54, 18, -59, 42, -7, 61, 93]

Pass 2:
  Compare 54 and 18
  Swap 54 and 18
  List after swap: [18, 54, -59, 42, -7, 61, 93]
  Compare 54 and -59
  Swap 54 and -59
  List after swap: [18, -59, 54, 42, -7, 61, 93]
  Compare 54 and 42
  Swap 54 and 42
  List after swap: [18, -59, 42, 54, -7, 61, 93]
  Compare 54 and -7
  Swap 54 and -7
  List after swap: [18, -59, 42, -7, 54, 61, 93]
  Compare 54 and 61
  No swap needed

Pass 3:
  Compare 18 and -59
  Swap 18 and -59
  List after swap: [-59, 18, 42, -7, 54, 61, 93]
  Compare 18 and 42
  No swap needed
  Compare 42 and -7
  Swap 42 and -7
  List after swap: [-59, 18, -7, 42, 54, 61, 93]
  Compare 42 and 54
  No swap needed

Pass 4:
  Compare -59 and 18
  No swap needed
  Compare 18 and -7
  Swap 18 and -7
  List after swap: [-59, -7, 18, 42, 54, 61, 93]
  Compare 18 and 42
  No swap needed

Pass 5:
  Compare -59 and -7
  No swap needed
  Compare -7 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -7, 18, 42, 54, 61, 93]
</think>

<response>-59, -7, 18, 42, 54, 61, 93</response>


input: Implement bubble sort on 8, 89, 79, -88 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [8, 89, 79, -88]

Pass 1:
  Compare 8 and 89
  No swap needed
  Compare 89 and 79
  Swap 89 and 79
  List after swap: [8, 79, 89, -88]
  Compare 89 and -88
  Swap 89 and -88
  List after swap: [8, 79, -88, 89]

Pass 2:
  Compare 8 and 79
  No swap needed
  Compare 79 and -88
  Swap 79 and -88
  List after swap: [8, -88, 79, 89]

Pass 3:
  Compare 8 and -88
  Swap 8 and -88
  List after swap: [-88, 8, 79, 89]

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

Final sorted list: [-88, 8, 79, 89]
</think>

<response>-88, 8, 79, 89</response>


input: Perform a bubble sort on the integers -51, 15, arranging them in ascending order and outlining every step.

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

Pass 1:
  Compare -51 and 15
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-51, 15</response>


input: Arrange the numbers 85, 81, -59, -12, 28, 7, 92 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [85, 81, -59, -12, 28, 7, 92]

Pass 1:
  Compare 85 and 81
  Swap 85 and 81
  List after swap: [81, 85, -59, -12, 28, 7, 92]
  Compare 85 and -59
  Swap 85 and -59
  List after swap: [81, -59, 85, -12, 28, 7, 92]
  Compare 85 and -12
  Swap 85 and -12
  List after swap: [81, -59, -12, 85, 28, 7, 92]
  Compare 85 and 28
  Swap 85 and 28
  List after swap: [81, -59, -12, 28, 85, 7, 92]
  Compare 85 and 7
  Swap 85 and 7
  List after swap: [81, -59, -12, 28, 7, 85, 92]
  Compare 85 and 92
  No swap needed

Pass 2:
  Compare 81 and -59
  Swap 81 and -59
  List after swap: [-59, 81, -12, 28, 7, 85, 92]
  Compare 81 and -12
  Swap 81 and -12
  List after swap: [-59, -12, 81, 28, 7, 85, 92]
  Compare 81 and 28
  Swap 81 and 28
  List after swap: [-59, -12, 28, 81, 7, 85, 92]
  Compare 81 and 7
  Swap 81 and 7
  List after swap: [-59, -12, 28, 7, 81, 85, 92]
  Compare 81 and 85
  No swap needed

Pass 3:
  Compare -59 and -12
  No swap needed
  Compare -12 and 28
  No swap needed
  Compare 28 and 7
  Swap 28 and 7
  List after swap: [-59, -12, 7, 28, 81, 85, 92]
  Compare 28 and 81
  No swap needed

Pass 4:
  Compare -59 and -12
  No swap needed
  Compare -12 and 7
  No swap needed
  Compare 7 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -12, 7, 28, 81, 85, 92]
</think>

<response>-59, -12, 7, 28, 81, 85, 92</response>


input: Carry out the bubble sort algorithm on -10, -46, -36, -65, 23, -48, -81, -50, 90, 74 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-10, -46, -36, -65, 23, -48, -81, -50, 90, 74]

Pass 1:
  Compare -10 and -46
  Swap -10 and -46
  List after swap: [-46, -10, -36, -65, 23, -48, -81, -50, 90, 74]
  Compare -10 and -36
  Swap -10 and -36
  List after swap: [-46, -36, -10, -65, 23, -48, -81, -50, 90, 74]
  Compare -10 and -65
  Swap -10 and -65
  List after swap: [-46, -36, -65, -10, 23, -48, -81, -50, 90, 74]
  Compare -10 and 23
  No swap needed
  Compare 23 and -48
  Swap 23 and -48
  List after swap: [-46, -36, -65, -10, -48, 23, -81, -50, 90, 74]
  Compare 23 and -81
  Swap 23 and -81
  List after swap: [-46, -36, -65, -10, -48, -81, 23, -50, 90, 74]
  Compare 23 and -50
  Swap 23 and -50
  List after swap: [-46, -36, -65, -10, -48, -81, -50, 23, 90, 74]
  Compare 23 and 90
  No swap needed
  Compare 90 and 74
  Swap 90 and 74
  List after swap: [-46, -36, -65, -10, -48, -81, -50, 23, 74, 90]

Pass 2:
  Compare -46 and -36
  No swap needed
  Compare -36 and -65
  Swap -36 and -65
  List after swap: [-46, -65, -36, -10, -48, -81, -50, 23, 74, 90]
  Compare -36 and -10
  No swap needed
  Compare -10 and -48
  Swap -10 and -48
  List after swap: [-46, -65, -36, -48, -10, -81, -50, 23, 74, 90]
  Compare -10 and -81
  Swap -10 and -81
  List after swap: [-46, -65, -36, -48, -81, -10, -50, 23, 74, 90]
  Compare -10 and -50
  Swap -10 and -50
  List after swap: [-46, -65, -36, -48, -81, -50, -10, 23, 74, 90]
  Compare -10 and 23
  No swap needed
  Compare 23 and 74
  No swap needed

Pass 3:
  Compare -46 and -65
  Swap -46 and -65
  List after swap: [-65, -46, -36, -48, -81, -50, -10, 23, 74, 90]
  Compare -46 and -36
  No swap needed
  Compare -36 and -48
  Swap -36 and -48
  List after swap: [-65, -46, -48, -36, -81, -50, -10, 23, 74, 90]
  Compare -36 and -81
  Swap -36 and -81
  List after swap: [-65, -46, -48, -81, -36, -50, -10, 23, 74, 90]
  Compare -36 and -50
  Swap -36 and -50
  List after swap: [-65, -46, -48, -81, -50, -36, -10, 23, 74, 90]
  Compare -36 and -10
  No swap needed
  Compare -10 and 23
  No swap needed

Pass 4:
  Compare -65 and -46
  No swap needed
  Compare -46 and -48
  Swap -46 and -48
  List after swap: [-65, -48, -46, -81, -50, -36, -10, 23, 74, 90]
  Compare -46 and -81
  Swap -46 and -81
  List after swap: [-65, -48, -81, -46, -50, -36, -10, 23, 74, 90]
  Compare -46 and -50
  Swap -46 and -50
  List after swap: [-65, -48, -81, -50, -46, -36, -10, 23, 74, 90]
  Compare -46 and -36
  No swap needed
  Compare -36 and -10
  No swap needed

Pass 5:
  Compare -65 and -48
  No swap needed
  Compare -48 and -81
  Swap -48 and -81
  List after swap: [-65, -81, -48, -50, -46, -36, -10, 23, 74, 90]
  Compare -48 and -50
  Swap -48 and -50
  List after swap: [-65, -81, -50, -48, -46, -36, -10, 23, 74, 90]
  Compare -48 and -46
  No swap needed
  Compare -46 and -36
  No swap needed

Pass 6:
  Compare -65 and -81
  Swap -65 and -81
  List after swap: [-81, -65, -50, -48, -46, -36, -10, 23, 74, 90]
  Compare -65 and -50
  No swap needed
  Compare -50 and -48
  No swap needed
  Compare -48 and -46
  No swap needed

Pass 7:
  Compare -81 and -65
  No swap needed
  Compare -65 and -50
  No swap needed
  Compare -50 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -65, -50, -48, -46, -36, -10, 23, 74, 90]
</think>

<response>-81, -65, -50, -48, -46, -36, -10, 23, 74, 90</response>


input: Implement bubble sort on 27, 49, -90 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [27, 49, -90]

Pass 1:
  Compare 27 and 49
  No swap needed
  Compare 49 and -90
  Swap 49 and -90
  List after swap: [27, -90, 49]

Pass 2:
  Compare 27 and -90
  Swap 27 and -90
  List after swap: [-90, 27, 49]

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

Final sorted list: [-90, 27, 49]
</think>

<response>-90, 27, 49</response>


input: Carry out the bubble sort algorithm on 88, 8, -59 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [88, 8, -59]

Pass 1:
  Compare 88 and 8
  Swap 88 and 8
  List after swap: [8, 88, -59]
  Compare 88 and -59
  Swap 88 and -59
  List after swap: [8, -59, 88]

Pass 2:
  Compare 8 and -59
  Swap 8 and -59
  List after swap: [-59, 8, 88]

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

Final sorted list: [-59, 8, 88]
</think>

<response>-59, 8, 88</response>


input: Perform a bubble sort on the integers 9, -16, 0, -78, 32, -24, 90, -44, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [9, -16, 0, -78, 32, -24, 90, -44]

Pass 1:
  Compare 9 and -16
  Swap 9 and -16
  List after swap: [-16, 9, 0, -78, 32, -24, 90, -44]
  Compare 9 and 0
  Swap 9 and 0
  List after swap: [-16, 0, 9, -78, 32, -24, 90, -44]
  Compare 9 and -78
  Swap 9 and -78
  List after swap: [-16, 0, -78, 9, 32, -24, 90, -44]
  Compare 9 and 32
  No swap needed
  Compare 32 and -24
  Swap 32 and -24
  List after swap: [-16, 0, -78, 9, -24, 32, 90, -44]
  Compare 32 and 90
  No swap needed
  Compare 90 and -44
  Swap 90 and -44
  List after swap: [-16, 0, -78, 9, -24, 32, -44, 90]

Pass 2:
  Compare -16 and 0
  No swap needed
  Compare 0 and -78
  Swap 0 and -78
  List after swap: [-16, -78, 0, 9, -24, 32, -44, 90]
  Compare 0 and 9
  No swap needed
  Compare 9 and -24
  Swap 9 and -24
  List after swap: [-16, -78, 0, -24, 9, 32, -44, 90]
  Compare 9 and 32
  No swap needed
  Compare 32 and -44
  Swap 32 and -44
  List after swap: [-16, -78, 0, -24, 9, -44, 32, 90]

Pass 3:
  Compare -16 and -78
  Swap -16 and -78
  List after swap: [-78, -16, 0, -24, 9, -44, 32, 90]
  Compare -16 and 0
  No swap needed
  Compare 0 and -24
  Swap 0 and -24
  List after swap: [-78, -16, -24, 0, 9, -44, 32, 90]
  Compare 0 and 9
  No swap needed
  Compare 9 and -44
  Swap 9 and -44
  List after swap: [-78, -16, -24, 0, -44, 9, 32, 90]

Pass 4:
  Compare -78 and -16
  No swap needed
  Compare -16 and -24
  Swap -16 and -24
  List after swap: [-78, -24, -16, 0, -44, 9, 32, 90]
  Compare -16 and 0
  No swap needed
  Compare 0 and -44
  Swap 0 and -44
  List after swap: [-78, -24, -16, -44, 0, 9, 32, 90]

Pass 5:
  Compare -78 and -24
  No swap needed
  Compare -24 and -16
  No swap needed
  Compare -16 and -44
  Swap -16 and -44
  List after swap: [-78, -24, -44, -16, 0, 9, 32, 90]

Pass 6:
  Compare -78 and -24
  No swap needed
  Compare -24 and -44
  Swap -24 and -44
  List after swap: [-78, -44, -24, -16, 0, 9, 32, 90]

Pass 7:
  Compare -78 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -44, -24, -16, 0, 9, 32, 90]
</think>

<response>-78, -44, -24, -16, 0, 9, 32, 90</response>


input: Carry out the bubble sort algorithm on -17, 27, -35, -51 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-17, 27, -35, -51]

Pass 1:
  Compare -17 and 27
  No swap needed
  Compare 27 and -35
  Swap 27 and -35
  List after swap: [-17, -35, 27, -51]
  Compare 27 and -51
  Swap 27 and -51
  List after swap: [-17, -35, -51, 27]

Pass 2:
  Compare -17 and -35
  Swap -17 and -35
  List after swap: [-35, -17, -51, 27]
  Compare -17 and -51
  Swap -17 and -51
  List after swap: [-35, -51, -17, 27]

Pass 3:
  Compare -35 and -51
  Swap -35 and -51
  List after swap: [-51, -35, -17, 27]

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

Final sorted list: [-51, -35, -17, 27]
</think>

<response>-51, -35, -17, 27</response>


input: Execute bubble sort to sort -2, 57, -45, 69, -62, -12, 49, -78 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-2, 57, -45, 69, -62, -12, 49, -78]

Pass 1:
  Compare -2 and 57
  No swap needed
  Compare 57 and -45
  Swap 57 and -45
  List after swap: [-2, -45, 57, 69, -62, -12, 49, -78]
  Compare 57 and 69
  No swap needed
  Compare 69 and -62
  Swap 69 and -62
  List after swap: [-2, -45, 57, -62, 69, -12, 49, -78]
  Compare 69 and -12
  Swap 69 and -12
  List after swap: [-2, -45, 57, -62, -12, 69, 49, -78]
  Compare 69 and 49
  Swap 69 and 49
  List after swap: [-2, -45, 57, -62, -12, 49, 69, -78]
  Compare 69 and -78
  Swap 69 and -78
  List after swap: [-2, -45, 57, -62, -12, 49, -78, 69]

Pass 2:
  Compare -2 and -45
  Swap -2 and -45
  List after swap: [-45, -2, 57, -62, -12, 49, -78, 69]
  Compare -2 and 57
  No swap needed
  Compare 57 and -62
  Swap 57 and -62
  List after swap: [-45, -2, -62, 57, -12, 49, -78, 69]
  Compare 57 and -12
  Swap 57 and -12
  List after swap: [-45, -2, -62, -12, 57, 49, -78, 69]
  Compare 57 and 49
  Swap 57 and 49
  List after swap: [-45, -2, -62, -12, 49, 57, -78, 69]
  Compare 57 and -78
  Swap 57 and -78
  List after swap: [-45, -2, -62, -12, 49, -78, 57, 69]

Pass 3:
  Compare -45 and -2
  No swap needed
  Compare -2 and -62
  Swap -2 and -62
  List after swap: [-45, -62, -2, -12, 49, -78, 57, 69]
  Compare -2 and -12
  Swap -2 and -12
  List after swap: [-45, -62, -12, -2, 49, -78, 57, 69]
  Compare -2 and 49
  No swap needed
  Compare 49 and -78
  Swap 49 and -78
  List after swap: [-45, -62, -12, -2, -78, 49, 57, 69]

Pass 4:
  Compare -45 and -62
  Swap -45 and -62
  List after swap: [-62, -45, -12, -2, -78, 49, 57, 69]
  Compare -45 and -12
  No swap needed
  Compare -12 and -2
  No swap needed
  Compare -2 and -78
  Swap -2 and -78
  List after swap: [-62, -45, -12, -78, -2, 49, 57, 69]

Pass 5:
  Compare -62 and -45
  No swap needed
  Compare -45 and -12
  No swap needed
  Compare -12 and -78
  Swap -12 and -78
  List after swap: [-62, -45, -78, -12, -2, 49, 57, 69]

Pass 6:
  Compare -62 and -45
  No swap needed
  Compare -45 and -78
  Swap -45 and -78
  List after swap: [-62, -78, -45, -12, -2, 49, 57, 69]

Pass 7:
  Compare -62 and -78
  Swap -62 and -78
  List after swap: [-78, -62, -45, -12, -2, 49, 57, 69]

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

Final sorted list: [-78, -62, -45, -12, -2, 49, 57, 69]
</think>

<response>-78, -62, -45, -12, -2, 49, 57, 69</response>


input: Arrange the numbers 11, 26, -94, 5, 83, 60 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [11, 26, -94, 5, 83, 60]

Pass 1:
  Compare 11 and 26
  No swap needed
  Compare 26 and -94
  Swap 26 and -94
  List after swap: [11, -94, 26, 5, 83, 60]
  Compare 26 and 5
  Swap 26 and 5
  List after swap: [11, -94, 5, 26, 83, 60]
  Compare 26 and 83
  No swap needed
  Compare 83 and 60
  Swap 83 and 60
  List after swap: [11, -94, 5, 26, 60, 83]

Pass 2:
  Compare 11 and -94
  Swap 11 and -94
  List after swap: [-94, 11, 5, 26, 60, 83]
  Compare 11 and 5
  Swap 11 and 5
  List after swap: [-94, 5, 11, 26, 60, 83]
  Compare 11 and 26
  No swap needed
  Compare 26 and 60
  No swap needed

Pass 3:
  Compare -94 and 5
  No swap needed
  Compare 5 and 11
  No swap needed
  Compare 11 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, 5, 11, 26, 60, 83]
</think>

<response>-94, 5, 11, 26, 60, 83</response>


input: Use the bubble sort technique to reorder -85, -39 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-85, -39]

Pass 1:
  Compare -85 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -39]
</think>

<response>-85, -39</response>


input: Carry out the bubble sort algorithm on -43, -69, -44, -96 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-43, -69, -44, -96]

Pass 1:
  Compare -43 and -69
  Swap -43 and -69
  List after swap: [-69, -43, -44, -96]
  Compare -43 and -44
  Swap -43 and -44
  List after swap: [-69, -44, -43, -96]
  Compare -43 and -96
  Swap -43 and -96
  List after swap: [-69, -44, -96, -43]

Pass 2:
  Compare -69 and -44
  No swap needed
  Compare -44 and -96
  Swap -44 and -96
  List after swap: [-69, -96, -44, -43]

Pass 3:
  Compare -69 and -96
  Swap -69 and -96
  List after swap: [-96, -69, -44, -43]

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

Final sorted list: [-96, -69, -44, -43]
</think>

<response>-96, -69, -44, -43</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -12, 98, 48, 1, -15, 24.

output:
<think>
Initial list: [-12, 98, 48, 1, -15, 24]

Pass 1:
  Compare -12 and 98
  No swap needed
  Compare 98 and 48
  Swap 98 and 48
  List after swap: [-12, 48, 98, 1, -15, 24]
  Compare 98 and 1
  Swap 98 and 1
  List after swap: [-12, 48, 1, 98, -15, 24]
  Compare 98 and -15
  Swap 98 and -15
  List after swap: [-12, 48, 1, -15, 98, 24]
  Compare 98 and 24
  Swap 98 and 24
  List after swap: [-12, 48, 1, -15, 24, 98]

Pass 2:
  Compare -12 and 48
  No swap needed
  Compare 48 and 1
  Swap 48 and 1
  List after swap: [-12, 1, 48, -15, 24, 98]
  Compare 48 and -15
  Swap 48 and -15
  List after swap: [-12, 1, -15, 48, 24, 98]
  Compare 48 and 24
  Swap 48 and 24
  List after swap: [-12, 1, -15, 24, 48, 98]

Pass 3:
  Compare -12 and 1
  No swap needed
  Compare 1 and -15
  Swap 1 and -15
  List after swap: [-12, -15, 1, 24, 48, 98]
  Compare 1 and 24
  No swap needed

Pass 4:
  Compare -12 and -15
  Swap -12 and -15
  List after swap: [-15, -12, 1, 24, 48, 98]
  Compare -12 and 1
  No swap needed

Pass 5:
  Compare -15 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, -12, 1, 24, 48, 98]
</think>

<response>-15, -12, 1, 24, 48, 98</response>


input: Arrange the numbers -70, -50, 49, -13 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-70, -50, 49, -13]

Pass 1:
  Compare -70 and -50
  No swap needed
  Compare -50 and 49
  No swap needed
  Compare 49 and -13
  Swap 49 and -13
  List after swap: [-70, -50, -13, 49]

Pass 2:
  Compare -70 and -50
  No swap needed
  Compare -50 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -50, -13, 49]
</think>

<response>-70, -50, -13, 49</response>


input: Using the bubble sort method, sort 34, 57, -87 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [34, 57, -87]

Pass 1:
  Compare 34 and 57
  No swap needed
  Compare 57 and -87
  Swap 57 and -87
  List after swap: [34, -87, 57]

Pass 2:
  Compare 34 and -87
  Swap 34 and -87
  List after swap: [-87, 34, 57]

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

Final sorted list: [-87, 34, 57]
</think>

<response>-87, 34, 57</response>


input: Implement bubble sort on -40, -63, 61, -99, 6, -90, -87, 35, 96, 21 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-40, -63, 61, -99, 6, -90, -87, 35, 96, 21]

Pass 1:
  Compare -40 and -63
  Swap -40 and -63
  List after swap: [-63, -40, 61, -99, 6, -90, -87, 35, 96, 21]
  Compare -40 and 61
  No swap needed
  Compare 61 and -99
  Swap 61 and -99
  List after swap: [-63, -40, -99, 61, 6, -90, -87, 35, 96, 21]
  Compare 61 and 6
  Swap 61 and 6
  List after swap: [-63, -40, -99, 6, 61, -90, -87, 35, 96, 21]
  Compare 61 and -90
  Swap 61 and -90
  List after swap: [-63, -40, -99, 6, -90, 61, -87, 35, 96, 21]
  Compare 61 and -87
  Swap 61 and -87
  List after swap: [-63, -40, -99, 6, -90, -87, 61, 35, 96, 21]
  Compare 61 and 35
  Swap 61 and 35
  List after swap: [-63, -40, -99, 6, -90, -87, 35, 61, 96, 21]
  Compare 61 and 96
  No swap needed
  Compare 96 and 21
  Swap 96 and 21
  List after swap: [-63, -40, -99, 6, -90, -87, 35, 61, 21, 96]

Pass 2:
  Compare -63 and -40
  No swap needed
  Compare -40 and -99
  Swap -40 and -99
  List after swap: [-63, -99, -40, 6, -90, -87, 35, 61, 21, 96]
  Compare -40 and 6
  No swap needed
  Compare 6 and -90
  Swap 6 and -90
  List after swap: [-63, -99, -40, -90, 6, -87, 35, 61, 21, 96]
  Compare 6 and -87
  Swap 6 and -87
  List after swap: [-63, -99, -40, -90, -87, 6, 35, 61, 21, 96]
  Compare 6 and 35
  No swap needed
  Compare 35 and 61
  No swap needed
  Compare 61 and 21
  Swap 61 and 21
  List after swap: [-63, -99, -40, -90, -87, 6, 35, 21, 61, 96]

Pass 3:
  Compare -63 and -99
  Swap -63 and -99
  List after swap: [-99, -63, -40, -90, -87, 6, 35, 21, 61, 96]
  Compare -63 and -40
  No swap needed
  Compare -40 and -90
  Swap -40 and -90
  List after swap: [-99, -63, -90, -40, -87, 6, 35, 21, 61, 96]
  Compare -40 and -87
  Swap -40 and -87
  List after swap: [-99, -63, -90, -87, -40, 6, 35, 21, 61, 96]
  Compare -40 and 6
  No swap needed
  Compare 6 and 35
  No swap needed
  Compare 35 and 21
  Swap 35 and 21
  List after swap: [-99, -63, -90, -87, -40, 6, 21, 35, 61, 96]

Pass 4:
  Compare -99 and -63
  No swap needed
  Compare -63 and -90
  Swap -63 and -90
  List after swap: [-99, -90, -63, -87, -40, 6, 21, 35, 61, 96]
  Compare -63 and -87
  Swap -63 and -87
  List after swap: [-99, -90, -87, -63, -40, 6, 21, 35, 61, 96]
  Compare -63 and -40
  No swap needed
  Compare -40 and 6
  No swap needed
  Compare 6 and 21
  No swap needed

Pass 5:
  Compare -99 and -90
  No swap needed
  Compare -90 and -87
  No swap needed
  Compare -87 and -63
  No swap needed
  Compare -63 and -40
  No swap needed
  Compare -40 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -90, -87, -63, -40, 6, 21, 35, 61, 96]
</think>

<response>-99, -90, -87, -63, -40, 6, 21, 35, 61, 96</response>


input: Sort the list -36, 1, -64, -89, 92, -28, -5, -72, 99, -23 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-36, 1, -64, -89, 92, -28, -5, -72, 99, -23]

Pass 1:
  Compare -36 and 1
  No swap needed
  Compare 1 and -64
  Swap 1 and -64
  List after swap: [-36, -64, 1, -89, 92, -28, -5, -72, 99, -23]
  Compare 1 and -89
  Swap 1 and -89
  List after swap: [-36, -64, -89, 1, 92, -28, -5, -72, 99, -23]
  Compare 1 and 92
  No swap needed
  Compare 92 and -28
  Swap 92 and -28
  List after swap: [-36, -64, -89, 1, -28, 92, -5, -72, 99, -23]
  Compare 92 and -5
  Swap 92 and -5
  List after swap: [-36, -64, -89, 1, -28, -5, 92, -72, 99, -23]
  Compare 92 and -72
  Swap 92 and -72
  List after swap: [-36, -64, -89, 1, -28, -5, -72, 92, 99, -23]
  Compare 92 and 99
  No swap needed
  Compare 99 and -23
  Swap 99 and -23
  List after swap: [-36, -64, -89, 1, -28, -5, -72, 92, -23, 99]

Pass 2:
  Compare -36 and -64
  Swap -36 and -64
  List after swap: [-64, -36, -89, 1, -28, -5, -72, 92, -23, 99]
  Compare -36 and -89
  Swap -36 and -89
  List after swap: [-64, -89, -36, 1, -28, -5, -72, 92, -23, 99]
  Compare -36 and 1
  No swap needed
  Compare 1 and -28
  Swap 1 and -28
  List after swap: [-64, -89, -36, -28, 1, -5, -72, 92, -23, 99]
  Compare 1 and -5
  Swap 1 and -5
  List after swap: [-64, -89, -36, -28, -5, 1, -72, 92, -23, 99]
  Compare 1 and -72
  Swap 1 and -72
  List after swap: [-64, -89, -36, -28, -5, -72, 1, 92, -23, 99]
  Compare 1 and 92
  No swap needed
  Compare 92 and -23
  Swap 92 and -23
  List after swap: [-64, -89, -36, -28, -5, -72, 1, -23, 92, 99]

Pass 3:
  Compare -64 and -89
  Swap -64 and -89
  List after swap: [-89, -64, -36, -28, -5, -72, 1, -23, 92, 99]
  Compare -64 and -36
  No swap needed
  Compare -36 and -28
  No swap needed
  Compare -28 and -5
  No swap needed
  Compare -5 and -72
  Swap -5 and -72
  List after swap: [-89, -64, -36, -28, -72, -5, 1, -23, 92, 99]
  Compare -5 and 1
  No swap needed
  Compare 1 and -23
  Swap 1 and -23
  List after swap: [-89, -64, -36, -28, -72, -5, -23, 1, 92, 99]

Pass 4:
  Compare -89 and -64
  No swap needed
  Compare -64 and -36
  No swap needed
  Compare -36 and -28
  No swap needed
  Compare -28 and -72
  Swap -28 and -72
  List after swap: [-89, -64, -36, -72, -28, -5, -23, 1, 92, 99]
  Compare -28 and -5
  No swap needed
  Compare -5 and -23
  Swap -5 and -23
  List after swap: [-89, -64, -36, -72, -28, -23, -5, 1, 92, 99]

Pass 5:
  Compare -89 and -64
  No swap needed
  Compare -64 and -36
  No swap needed
  Compare -36 and -72
  Swap -36 and -72
  List after swap: [-89, -64, -72, -36, -28, -23, -5, 1, 92, 99]
  Compare -36 and -28
  No swap needed
  Compare -28 and -23
  No swap needed

Pass 6:
  Compare -89 and -64
  No swap needed
  Compare -64 and -72
  Swap -64 and -72
  List after swap: [-89, -72, -64, -36, -28, -23, -5, 1, 92, 99]
  Compare -64 and -36
  No swap needed
  Compare -36 and -28
  No swap needed

Pass 7:
  Compare -89 and -72
  No swap needed
  Compare -72 and -64
  No swap needed
  Compare -64 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -72, -64, -36, -28, -23, -5, 1, 92, 99]
</think>

<response>-89, -72, -64, -36, -28, -23, -5, 1, 92, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -19, 38, -47, -73, 52, -16.

output:
<think>
Initial list: [-19, 38, -47, -73, 52, -16]

Pass 1:
  Compare -19 and 38
  No swap needed
  Compare 38 and -47
  Swap 38 and -47
  List after swap: [-19, -47, 38, -73, 52, -16]
  Compare 38 and -73
  Swap 38 and -73
  List after swap: [-19, -47, -73, 38, 52, -16]
  Compare 38 and 52
  No swap needed
  Compare 52 and -16
  Swap 52 and -16
  List after swap: [-19, -47, -73, 38, -16, 52]

Pass 2:
  Compare -19 and -47
  Swap -19 and -47
  List after swap: [-47, -19, -73, 38, -16, 52]
  Compare -19 and -73
  Swap -19 and -73
  List after swap: [-47, -73, -19, 38, -16, 52]
  Compare -19 and 38
  No swap needed
  Compare 38 and -16
  Swap 38 and -16
  List after swap: [-47, -73, -19, -16, 38, 52]

Pass 3:
  Compare -47 and -73
  Swap -47 and -73
  List after swap: [-73, -47, -19, -16, 38, 52]
  Compare -47 and -19
  No swap needed
  Compare -19 and -16
  No swap needed

Pass 4:
  Compare -73 and -47
  No swap needed
  Compare -47 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -47, -19, -16, 38, 52]
</think>

<response>-73, -47, -19, -16, 38, 52</response>


input: Implement bubble sort on 23, -16, -60, 88, 4, -13, 95 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [23, -16, -60, 88, 4, -13, 95]

Pass 1:
  Compare 23 and -16
  Swap 23 and -16
  List after swap: [-16, 23, -60, 88, 4, -13, 95]
  Compare 23 and -60
  Swap 23 and -60
  List after swap: [-16, -60, 23, 88, 4, -13, 95]
  Compare 23 and 88
  No swap needed
  Compare 88 and 4
  Swap 88 and 4
  List after swap: [-16, -60, 23, 4, 88, -13, 95]
  Compare 88 and -13
  Swap 88 and -13
  List after swap: [-16, -60, 23, 4, -13, 88, 95]
  Compare 88 and 95
  No swap needed

Pass 2:
  Compare -16 and -60
  Swap -16 and -60
  List after swap: [-60, -16, 23, 4, -13, 88, 95]
  Compare -16 and 23
  No swap needed
  Compare 23 and 4
  Swap 23 and 4
  List after swap: [-60, -16, 4, 23, -13, 88, 95]
  Compare 23 and -13
  Swap 23 and -13
  List after swap: [-60, -16, 4, -13, 23, 88, 95]
  Compare 23 and 88
  No swap needed

Pass 3:
  Compare -60 and -16
  No swap needed
  Compare -16 and 4
  No swap needed
  Compare 4 and -13
  Swap 4 and -13
  List after swap: [-60, -16, -13, 4, 23, 88, 95]
  Compare 4 and 23
  No swap needed

Pass 4:
  Compare -60 and -16
  No swap needed
  Compare -16 and -13
  No swap needed
  Compare -13 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -16, -13, 4, 23, 88, 95]
</think>

<response>-60, -16, -13, 4, 23, 88, 95</response>


input: Implement bubble sort on 7, 56, -85 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [7, 56, -85]

Pass 1:
  Compare 7 and 56
  No swap needed
  Compare 56 and -85
  Swap 56 and -85
  List after swap: [7, -85, 56]

Pass 2:
  Compare 7 and -85
  Swap 7 and -85
  List after swap: [-85, 7, 56]

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

Final sorted list: [-85, 7, 56]
</think>

<response>-85, 7, 56</response>


input: Using the bubble sort method, sort -48, 64, 55, 73, 63, 48, 78, 16, 13 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-48, 64, 55, 73, 63, 48, 78, 16, 13]

Pass 1:
  Compare -48 and 64
  No swap needed
  Compare 64 and 55
  Swap 64 and 55
  List after swap: [-48, 55, 64, 73, 63, 48, 78, 16, 13]
  Compare 64 and 73
  No swap needed
  Compare 73 and 63
  Swap 73 and 63
  List after swap: [-48, 55, 64, 63, 73, 48, 78, 16, 13]
  Compare 73 and 48
  Swap 73 and 48
  List after swap: [-48, 55, 64, 63, 48, 73, 78, 16, 13]
  Compare 73 and 78
  No swap needed
  Compare 78 and 16
  Swap 78 and 16
  List after swap: [-48, 55, 64, 63, 48, 73, 16, 78, 13]
  Compare 78 and 13
  Swap 78 and 13
  List after swap: [-48, 55, 64, 63, 48, 73, 16, 13, 78]

Pass 2:
  Compare -48 and 55
  No swap needed
  Compare 55 and 64
  No swap needed
  Compare 64 and 63
  Swap 64 and 63
  List after swap: [-48, 55, 63, 64, 48, 73, 16, 13, 78]
  Compare 64 and 48
  Swap 64 and 48
  List after swap: [-48, 55, 63, 48, 64, 73, 16, 13, 78]
  Compare 64 and 73
  No swap needed
  Compare 73 and 16
  Swap 73 and 16
  List after swap: [-48, 55, 63, 48, 64, 16, 73, 13, 78]
  Compare 73 and 13
  Swap 73 and 13
  List after swap: [-48, 55, 63, 48, 64, 16, 13, 73, 78]

Pass 3:
  Compare -48 and 55
  No swap needed
  Compare 55 and 63
  No swap needed
  Compare 63 and 48
  Swap 63 and 48
  List after swap: [-48, 55, 48, 63, 64, 16, 13, 73, 78]
  Compare 63 and 64
  No swap needed
  Compare 64 and 16
  Swap 64 and 16
  List after swap: [-48, 55, 48, 63, 16, 64, 13, 73, 78]
  Compare 64 and 13
  Swap 64 and 13
  List after swap: [-48, 55, 48, 63, 16, 13, 64, 73, 78]

Pass 4:
  Compare -48 and 55
  No swap needed
  Compare 55 and 48
  Swap 55 and 48
  List after swap: [-48, 48, 55, 63, 16, 13, 64, 73, 78]
  Compare 55 and 63
  No swap needed
  Compare 63 and 16
  Swap 63 and 16
  List after swap: [-48, 48, 55, 16, 63, 13, 64, 73, 78]
  Compare 63 and 13
  Swap 63 and 13
  List after swap: [-48, 48, 55, 16, 13, 63, 64, 73, 78]

Pass 5:
  Compare -48 and 48
  No swap needed
  Compare 48 and 55
  No swap needed
  Compare 55 and 16
  Swap 55 and 16
  List after swap: [-48, 48, 16, 55, 13, 63, 64, 73, 78]
  Compare 55 and 13
  Swap 55 and 13
  List after swap: [-48, 48, 16, 13, 55, 63, 64, 73, 78]

Pass 6:
  Compare -48 and 48
  No swap needed
  Compare 48 and 16
  Swap 48 and 16
  List after swap: [-48, 16, 48, 13, 55, 63, 64, 73, 78]
  Compare 48 and 13
  Swap 48 and 13
  List after swap: [-48, 16, 13, 48, 55, 63, 64, 73, 78]

Pass 7:
  Compare -48 and 16
  No swap needed
  Compare 16 and 13
  Swap 16 and 13
  List after swap: [-48, 13, 16, 48, 55, 63, 64, 73, 78]

Pass 8:
  Compare -48 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, 13, 16, 48, 55, 63, 64, 73, 78]
</think>

<response>-48, 13, 16, 48, 55, 63, 64, 73, 78</response>


input: Use the bubble sort technique to reorder 14, -24, 6, -71, -63 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [14, -24, 6, -71, -63]

Pass 1:
  Compare 14 and -24
  Swap 14 and -24
  List after swap: [-24, 14, 6, -71, -63]
  Compare 14 and 6
  Swap 14 and 6
  List after swap: [-24, 6, 14, -71, -63]
  Compare 14 and -71
  Swap 14 and -71
  List after swap: [-24, 6, -71, 14, -63]
  Compare 14 and -63
  Swap 14 and -63
  List after swap: [-24, 6, -71, -63, 14]

Pass 2:
  Compare -24 and 6
  No swap needed
  Compare 6 and -71
  Swap 6 and -71
  List after swap: [-24, -71, 6, -63, 14]
  Compare 6 and -63
  Swap 6 and -63
  List after swap: [-24, -71, -63, 6, 14]

Pass 3:
  Compare -24 and -71
  Swap -24 and -71
  List after swap: [-71, -24, -63, 6, 14]
  Compare -24 and -63
  Swap -24 and -63
  List after swap: [-71, -63, -24, 6, 14]

Pass 4:
  Compare -71 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -63, -24, 6, 14]
</think>

<response>-71, -63, -24, 6, 14</response>


input: Execute bubble sort to sort 5, -96, -80, -17, 68, 43, -12 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [5, -96, -80, -17, 68, 43, -12]

Pass 1:
  Compare 5 and -96
  Swap 5 and -96
  List after swap: [-96, 5, -80, -17, 68, 43, -12]
  Compare 5 and -80
  Swap 5 and -80
  List after swap: [-96, -80, 5, -17, 68, 43, -12]
  Compare 5 and -17
  Swap 5 and -17
  List after swap: [-96, -80, -17, 5, 68, 43, -12]
  Compare 5 and 68
  No swap needed
  Compare 68 and 43
  Swap 68 and 43
  List after swap: [-96, -80, -17, 5, 43, 68, -12]
  Compare 68 and -12
  Swap 68 and -12
  List after swap: [-96, -80, -17, 5, 43, -12, 68]

Pass 2:
  Compare -96 and -80
  No swap needed
  Compare -80 and -17
  No swap needed
  Compare -17 and 5
  No swap needed
  Compare 5 and 43
  No swap needed
  Compare 43 and -12
  Swap 43 and -12
  List after swap: [-96, -80, -17, 5, -12, 43, 68]

Pass 3:
  Compare -96 and -80
  No swap needed
  Compare -80 and -17
  No swap needed
  Compare -17 and 5
  No swap needed
  Compare 5 and -12
  Swap 5 and -12
  List after swap: [-96, -80, -17, -12, 5, 43, 68]

Pass 4:
  Compare -96 and -80
  No swap needed
  Compare -80 and -17
  No swap needed
  Compare -17 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -80, -17, -12, 5, 43, 68]
</think>

<response>-96, -80, -17, -12, 5, 43, 68</response>


input: Carry out the bubble sort algorithm on -95, -79, 54, 80, -50, 93, 18, -84, -26, -37 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-95, -79, 54, 80, -50, 93, 18, -84, -26, -37]

Pass 1:
  Compare -95 and -79
  No swap needed
  Compare -79 and 54
  No swap needed
  Compare 54 and 80
  No swap needed
  Compare 80 and -50
  Swap 80 and -50
  List after swap: [-95, -79, 54, -50, 80, 93, 18, -84, -26, -37]
  Compare 80 and 93
  No swap needed
  Compare 93 and 18
  Swap 93 and 18
  List after swap: [-95, -79, 54, -50, 80, 18, 93, -84, -26, -37]
  Compare 93 and -84
  Swap 93 and -84
  List after swap: [-95, -79, 54, -50, 80, 18, -84, 93, -26, -37]
  Compare 93 and -26
  Swap 93 and -26
  List after swap: [-95, -79, 54, -50, 80, 18, -84, -26, 93, -37]
  Compare 93 and -37
  Swap 93 and -37
  List after swap: [-95, -79, 54, -50, 80, 18, -84, -26, -37, 93]

Pass 2:
  Compare -95 and -79
  No swap needed
  Compare -79 and 54
  No swap needed
  Compare 54 and -50
  Swap 54 and -50
  List after swap: [-95, -79, -50, 54, 80, 18, -84, -26, -37, 93]
  Compare 54 and 80
  No swap needed
  Compare 80 and 18
  Swap 80 and 18
  List after swap: [-95, -79, -50, 54, 18, 80, -84, -26, -37, 93]
  Compare 80 and -84
  Swap 80 and -84
  List after swap: [-95, -79, -50, 54, 18, -84, 80, -26, -37, 93]
  Compare 80 and -26
  Swap 80 and -26
  List after swap: [-95, -79, -50, 54, 18, -84, -26, 80, -37, 93]
  Compare 80 and -37
  Swap 80 and -37
  List after swap: [-95, -79, -50, 54, 18, -84, -26, -37, 80, 93]

Pass 3:
  Compare -95 and -79
  No swap needed
  Compare -79 and -50
  No swap needed
  Compare -50 and 54
  No swap needed
  Compare 54 and 18
  Swap 54 and 18
  List after swap: [-95, -79, -50, 18, 54, -84, -26, -37, 80, 93]
  Compare 54 and -84
  Swap 54 and -84
  List after swap: [-95, -79, -50, 18, -84, 54, -26, -37, 80, 93]
  Compare 54 and -26
  Swap 54 and -26
  List after swap: [-95, -79, -50, 18, -84, -26, 54, -37, 80, 93]
  Compare 54 and -37
  Swap 54 and -37
  List after swap: [-95, -79, -50, 18, -84, -26, -37, 54, 80, 93]

Pass 4:
  Compare -95 and -79
  No swap needed
  Compare -79 and -50
  No swap needed
  Compare -50 and 18
  No swap needed
  Compare 18 and -84
  Swap 18 and -84
  List after swap: [-95, -79, -50, -84, 18, -26, -37, 54, 80, 93]
  Compare 18 and -26
  Swap 18 and -26
  List after swap: [-95, -79, -50, -84, -26, 18, -37, 54, 80, 93]
  Compare 18 and -37
  Swap 18 and -37
  List after swap: [-95, -79, -50, -84, -26, -37, 18, 54, 80, 93]

Pass 5:
  Compare -95 and -79
  No swap needed
  Compare -79 and -50
  No swap needed
  Compare -50 and -84
  Swap -50 and -84
  List after swap: [-95, -79, -84, -50, -26, -37, 18, 54, 80, 93]
  Compare -50 and -26
  No swap needed
  Compare -26 and -37
  Swap -26 and -37
  List after swap: [-95, -79, -84, -50, -37, -26, 18, 54, 80, 93]

Pass 6:
  Compare -95 and -79
  No swap needed
  Compare -79 and -84
  Swap -79 and -84
  List after swap: [-95, -84, -79, -50, -37, -26, 18, 54, 80, 93]
  Compare -79 and -50
  No swap needed
  Compare -50 and -37
  No swap needed

Pass 7:
  Compare -95 and -84
  No swap needed
  Compare -84 and -79
  No swap needed
  Compare -79 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -84, -79, -50, -37, -26, 18, 54, 80, 93]
</think>

<response>-95, -84, -79, -50, -37, -26, 18, 54, 80, 93</response>


input: Demonstrate how bubble sort orders the integers 23, 22, -36, -38, 66, 37, -86, -61 in ascending sequence, showing all steps.

output:
<think>
Initial list: [23, 22, -36, -38, 66, 37, -86, -61]

Pass 1:
  Compare 23 and 22
  Swap 23 and 22
  List after swap: [22, 23, -36, -38, 66, 37, -86, -61]
  Compare 23 and -36
  Swap 23 and -36
  List after swap: [22, -36, 23, -38, 66, 37, -86, -61]
  Compare 23 and -38
  Swap 23 and -38
  List after swap: [22, -36, -38, 23, 66, 37, -86, -61]
  Compare 23 and 66
  No swap needed
  Compare 66 and 37
  Swap 66 and 37
  List after swap: [22, -36, -38, 23, 37, 66, -86, -61]
  Compare 66 and -86
  Swap 66 and -86
  List after swap: [22, -36, -38, 23, 37, -86, 66, -61]
  Compare 66 and -61
  Swap 66 and -61
  List after swap: [22, -36, -38, 23, 37, -86, -61, 66]

Pass 2:
  Compare 22 and -36
  Swap 22 and -36
  List after swap: [-36, 22, -38, 23, 37, -86, -61, 66]
  Compare 22 and -38
  Swap 22 and -38
  List after swap: [-36, -38, 22, 23, 37, -86, -61, 66]
  Compare 22 and 23
  No swap needed
  Compare 23 and 37
  No swap needed
  Compare 37 and -86
  Swap 37 and -86
  List after swap: [-36, -38, 22, 23, -86, 37, -61, 66]
  Compare 37 and -61
  Swap 37 and -61
  List after swap: [-36, -38, 22, 23, -86, -61, 37, 66]

Pass 3:
  Compare -36 and -38
  Swap -36 and -38
  List after swap: [-38, -36, 22, 23, -86, -61, 37, 66]
  Compare -36 and 22
  No swap needed
  Compare 22 and 23
  No swap needed
  Compare 23 and -86
  Swap 23 and -86
  List after swap: [-38, -36, 22, -86, 23, -61, 37, 66]
  Compare 23 and -61
  Swap 23 and -61
  List after swap: [-38, -36, 22, -86, -61, 23, 37, 66]

Pass 4:
  Compare -38 and -36
  No swap needed
  Compare -36 and 22
  No swap needed
  Compare 22 and -86
  Swap 22 and -86
  List after swap: [-38, -36, -86, 22, -61, 23, 37, 66]
  Compare 22 and -61
  Swap 22 and -61
  List after swap: [-38, -36, -86, -61, 22, 23, 37, 66]

Pass 5:
  Compare -38 and -36
  No swap needed
  Compare -36 and -86
  Swap -36 and -86
  List after swap: [-38, -86, -36, -61, 22, 23, 37, 66]
  Compare -36 and -61
  Swap -36 and -61
  List after swap: [-38, -86, -61, -36, 22, 23, 37, 66]

Pass 6:
  Compare -38 and -86
  Swap -38 and -86
  List after swap: [-86, -38, -61, -36, 22, 23, 37, 66]
  Compare -38 and -61
  Swap -38 and -61
  List after swap: [-86, -61, -38, -36, 22, 23, 37, 66]

Pass 7:
  Compare -86 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -61, -38, -36, 22, 23, 37, 66]
</think>

<response>-86, -61, -38, -36, 22, 23, 37, 66</response>


input: Carry out the bubble sort algorithm on -64, -67, 6, -33, 77, 68, 13, -48, -88, 45 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-64, -67, 6, -33, 77, 68, 13, -48, -88, 45]

Pass 1:
  Compare -64 and -67
  Swap -64 and -67
  List after swap: [-67, -64, 6, -33, 77, 68, 13, -48, -88, 45]
  Compare -64 and 6
  No swap needed
  Compare 6 and -33
  Swap 6 and -33
  List after swap: [-67, -64, -33, 6, 77, 68, 13, -48, -88, 45]
  Compare 6 and 77
  No swap needed
  Compare 77 and 68
  Swap 77 and 68
  List after swap: [-67, -64, -33, 6, 68, 77, 13, -48, -88, 45]
  Compare 77 and 13
  Swap 77 and 13
  List after swap: [-67, -64, -33, 6, 68, 13, 77, -48, -88, 45]
  Compare 77 and -48
  Swap 77 and -48
  List after swap: [-67, -64, -33, 6, 68, 13, -48, 77, -88, 45]
  Compare 77 and -88
  Swap 77 and -88
  List after swap: [-67, -64, -33, 6, 68, 13, -48, -88, 77, 45]
  Compare 77 and 45
  Swap 77 and 45
  List after swap: [-67, -64, -33, 6, 68, 13, -48, -88, 45, 77]

Pass 2:
  Compare -67 and -64
  No swap needed
  Compare -64 and -33
  No swap needed
  Compare -33 and 6
  No swap needed
  Compare 6 and 68
  No swap needed
  Compare 68 and 13
  Swap 68 and 13
  List after swap: [-67, -64, -33, 6, 13, 68, -48, -88, 45, 77]
  Compare 68 and -48
  Swap 68 and -48
  List after swap: [-67, -64, -33, 6, 13, -48, 68, -88, 45, 77]
  Compare 68 and -88
  Swap 68 and -88
  List after swap: [-67, -64, -33, 6, 13, -48, -88, 68, 45, 77]
  Compare 68 and 45
  Swap 68 and 45
  List after swap: [-67, -64, -33, 6, 13, -48, -88, 45, 68, 77]

Pass 3:
  Compare -67 and -64
  No swap needed
  Compare -64 and -33
  No swap needed
  Compare -33 and 6
  No swap needed
  Compare 6 and 13
  No swap needed
  Compare 13 and -48
  Swap 13 and -48
  List after swap: [-67, -64, -33, 6, -48, 13, -88, 45, 68, 77]
  Compare 13 and -88
  Swap 13 and -88
  List after swap: [-67, -64, -33, 6, -48, -88, 13, 45, 68, 77]
  Compare 13 and 45
  No swap needed

Pass 4:
  Compare -67 and -64
  No swap needed
  Compare -64 and -33
  No swap needed
  Compare -33 and 6
  No swap needed
  Compare 6 and -48
  Swap 6 and -48
  List after swap: [-67, -64, -33, -48, 6, -88, 13, 45, 68, 77]
  Compare 6 and -88
  Swap 6 and -88
  List after swap: [-67, -64, -33, -48, -88, 6, 13, 45, 68, 77]
  Compare 6 and 13
  No swap needed

Pass 5:
  Compare -67 and -64
  No swap needed
  Compare -64 and -33
  No swap needed
  Compare -33 and -48
  Swap -33 and -48
  List after swap: [-67, -64, -48, -33, -88, 6, 13, 45, 68, 77]
  Compare -33 and -88
  Swap -33 and -88
  List after swap: [-67, -64, -48, -88, -33, 6, 13, 45, 68, 77]
  Compare -33 and 6
  No swap needed

Pass 6:
  Compare -67 and -64
  No swap needed
  Compare -64 and -48
  No swap needed
  Compare -48 and -88
  Swap -48 and -88
  List after swap: [-67, -64, -88, -48, -33, 6, 13, 45, 68, 77]
  Compare -48 and -33
  No swap needed

Pass 7:
  Compare -67 and -64
  No swap needed
  Compare -64 and -88
  Swap -64 and -88
  List after swap: [-67, -88, -64, -48, -33, 6, 13, 45, 68, 77]
  Compare -64 and -48
  No swap needed

Pass 8:
  Compare -67 and -88
  Swap -67 and -88
  List after swap: [-88, -67, -64, -48, -33, 6, 13, 45, 68, 77]
  Compare -67 and -64
  No swap needed

Pass 9:
  Compare -88 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -67, -64, -48, -33, 6, 13, 45, 68, 77]
</think>

<response>-88, -67, -64, -48, -33, 6, 13, 45, 68, 77</response>


input: Carry out the bubble sort algorithm on -50, 80, 5, -85, -11 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-50, 80, 5, -85, -11]

Pass 1:
  Compare -50 and 80
  No swap needed
  Compare 80 and 5
  Swap 80 and 5
  List after swap: [-50, 5, 80, -85, -11]
  Compare 80 and -85
  Swap 80 and -85
  List after swap: [-50, 5, -85, 80, -11]
  Compare 80 and -11
  Swap 80 and -11
  List after swap: [-50, 5, -85, -11, 80]

Pass 2:
  Compare -50 and 5
  No swap needed
  Compare 5 and -85
  Swap 5 and -85
  List after swap: [-50, -85, 5, -11, 80]
  Compare 5 and -11
  Swap 5 and -11
  List after swap: [-50, -85, -11, 5, 80]

Pass 3:
  Compare -50 and -85
  Swap -50 and -85
  List after swap: [-85, -50, -11, 5, 80]
  Compare -50 and -11
  No swap needed

Pass 4:
  Compare -85 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -50, -11, 5, 80]
</think>

<response>-85, -50, -11, 5, 80</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 12, 46.

output:
<think>
Initial list: [12, 46]

Pass 1:
  Compare 12 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [12, 46]
</think>

<response>12, 46</response>


input: Implement bubble sort on 45, 34, 6 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [45, 34, 6]

Pass 1:
  Compare 45 and 34
  Swap 45 and 34
  List after swap: [34, 45, 6]
  Compare 45 and 6
  Swap 45 and 6
  List after swap: [34, 6, 45]

Pass 2:
  Compare 34 and 6
  Swap 34 and 6
  List after swap: [6, 34, 45]

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

Final sorted list: [6, 34, 45]
</think>

<response>6, 34, 45</response>


input: Sort the list 8, -32, 40, -66 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [8, -32, 40, -66]

Pass 1:
  Compare 8 and -32
  Swap 8 and -32
  List after swap: [-32, 8, 40, -66]
  Compare 8 and 40
  No swap needed
  Compare 40 and -66
  Swap 40 and -66
  List after swap: [-32, 8, -66, 40]

Pass 2:
  Compare -32 and 8
  No swap needed
  Compare 8 and -66
  Swap 8 and -66
  List after swap: [-32, -66, 8, 40]

Pass 3:
  Compare -32 and -66
  Swap -32 and -66
  List after swap: [-66, -32, 8, 40]

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

Final sorted list: [-66, -32, 8, 40]
</think>

<response>-66, -32, 8, 40</response>


input: Carry out the bubble sort algorithm on -31, -77, -29, -90, 16 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-31, -77, -29, -90, 16]

Pass 1:
  Compare -31 and -77
  Swap -31 and -77
  List after swap: [-77, -31, -29, -90, 16]
  Compare -31 and -29
  No swap needed
  Compare -29 and -90
  Swap -29 and -90
  List after swap: [-77, -31, -90, -29, 16]
  Compare -29 and 16
  No swap needed

Pass 2:
  Compare -77 and -31
  No swap needed
  Compare -31 and -90
  Swap -31 and -90
  List after swap: [-77, -90, -31, -29, 16]
  Compare -31 and -29
  No swap needed

Pass 3:
  Compare -77 and -90
  Swap -77 and -90
  List after swap: [-90, -77, -31, -29, 16]
  Compare -77 and -31
  No swap needed

Pass 4:
  Compare -90 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -77, -31, -29, 16]
</think>

<response>-90, -77, -31, -29, 16</response>


input: Using the bubble sort method, sort 28, -94, 1, -89, 90, 94, -25 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [28, -94, 1, -89, 90, 94, -25]

Pass 1:
  Compare 28 and -94
  Swap 28 and -94
  List after swap: [-94, 28, 1, -89, 90, 94, -25]
  Compare 28 and 1
  Swap 28 and 1
  List after swap: [-94, 1, 28, -89, 90, 94, -25]
  Compare 28 and -89
  Swap 28 and -89
  List after swap: [-94, 1, -89, 28, 90, 94, -25]
  Compare 28 and 90
  No swap needed
  Compare 90 and 94
  No swap needed
  Compare 94 and -25
  Swap 94 and -25
  List after swap: [-94, 1, -89, 28, 90, -25, 94]

Pass 2:
  Compare -94 and 1
  No swap needed
  Compare 1 and -89
  Swap 1 and -89
  List after swap: [-94, -89, 1, 28, 90, -25, 94]
  Compare 1 and 28
  No swap needed
  Compare 28 and 90
  No swap needed
  Compare 90 and -25
  Swap 90 and -25
  List after swap: [-94, -89, 1, 28, -25, 90, 94]

Pass 3:
  Compare -94 and -89
  No swap needed
  Compare -89 and 1
  No swap needed
  Compare 1 and 28
  No swap needed
  Compare 28 and -25
  Swap 28 and -25
  List after swap: [-94, -89, 1, -25, 28, 90, 94]

Pass 4:
  Compare -94 and -89
  No swap needed
  Compare -89 and 1
  No swap needed
  Compare 1 and -25
  Swap 1 and -25
  List after swap: [-94, -89, -25, 1, 28, 90, 94]

Pass 5:
  Compare -94 and -89
  No swap needed
  Compare -89 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -89, -25, 1, 28, 90, 94]
</think>

<response>-94, -89, -25, 1, 28, 90, 94</response>


input: Sort these integers -84, 79, 62, -24, 12, -54 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-84, 79, 62, -24, 12, -54]

Pass 1:
  Compare -84 and 79
  No swap needed
  Compare 79 and 62
  Swap 79 and 62
  List after swap: [-84, 62, 79, -24, 12, -54]
  Compare 79 and -24
  Swap 79 and -24
  List after swap: [-84, 62, -24, 79, 12, -54]
  Compare 79 and 12
  Swap 79 and 12
  List after swap: [-84, 62, -24, 12, 79, -54]
  Compare 79 and -54
  Swap 79 and -54
  List after swap: [-84, 62, -24, 12, -54, 79]

Pass 2:
  Compare -84 and 62
  No swap needed
  Compare 62 and -24
  Swap 62 and -24
  List after swap: [-84, -24, 62, 12, -54, 79]
  Compare 62 and 12
  Swap 62 and 12
  List after swap: [-84, -24, 12, 62, -54, 79]
  Compare 62 and -54
  Swap 62 and -54
  List after swap: [-84, -24, 12, -54, 62, 79]

Pass 3:
  Compare -84 and -24
  No swap needed
  Compare -24 and 12
  No swap needed
  Compare 12 and -54
  Swap 12 and -54
  List after swap: [-84, -24, -54, 12, 62, 79]

Pass 4:
  Compare -84 and -24
  No swap needed
  Compare -24 and -54
  Swap -24 and -54
  List after swap: [-84, -54, -24, 12, 62, 79]

Pass 5:
  Compare -84 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -54, -24, 12, 62, 79]
</think>

<response>-84, -54, -24, 12, 62, 79</response>


input: Execute bubble sort to sort -30, -42, -70, 86, -100 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-30, -42, -70, 86, -100]

Pass 1:
  Compare -30 and -42
  Swap -30 and -42
  List after swap: [-42, -30, -70, 86, -100]
  Compare -30 and -70
  Swap -30 and -70
  List after swap: [-42, -70, -30, 86, -100]
  Compare -30 and 86
  No swap needed
  Compare 86 and -100
  Swap 86 and -100
  List after swap: [-42, -70, -30, -100, 86]

Pass 2:
  Compare -42 and -70
  Swap -42 and -70
  List after swap: [-70, -42, -30, -100, 86]
  Compare -42 and -30
  No swap needed
  Compare -30 and -100
  Swap -30 and -100
  List after swap: [-70, -42, -100, -30, 86]

Pass 3:
  Compare -70 and -42
  No swap needed
  Compare -42 and -100
  Swap -42 and -100
  List after swap: [-70, -100, -42, -30, 86]

Pass 4:
  Compare -70 and -100
  Swap -70 and -100
  List after swap: [-100, -70, -42, -30, 86]

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

Final sorted list: [-100, -70, -42, -30, 86]
</think>

<response>-100, -70, -42, -30, 86</response>


input: Carry out the bubble sort algorithm on 38, -50, 37, 69, 35, 29, -71 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [38, -50, 37, 69, 35, 29, -71]

Pass 1:
  Compare 38 and -50
  Swap 38 and -50
  List after swap: [-50, 38, 37, 69, 35, 29, -71]
  Compare 38 and 37
  Swap 38 and 37
  List after swap: [-50, 37, 38, 69, 35, 29, -71]
  Compare 38 and 69
  No swap needed
  Compare 69 and 35
  Swap 69 and 35
  List after swap: [-50, 37, 38, 35, 69, 29, -71]
  Compare 69 and 29
  Swap 69 and 29
  List after swap: [-50, 37, 38, 35, 29, 69, -71]
  Compare 69 and -71
  Swap 69 and -71
  List after swap: [-50, 37, 38, 35, 29, -71, 69]

Pass 2:
  Compare -50 and 37
  No swap needed
  Compare 37 and 38
  No swap needed
  Compare 38 and 35
  Swap 38 and 35
  List after swap: [-50, 37, 35, 38, 29, -71, 69]
  Compare 38 and 29
  Swap 38 and 29
  List after swap: [-50, 37, 35, 29, 38, -71, 69]
  Compare 38 and -71
  Swap 38 and -71
  List after swap: [-50, 37, 35, 29, -71, 38, 69]

Pass 3:
  Compare -50 and 37
  No swap needed
  Compare 37 and 35
  Swap 37 and 35
  List after swap: [-50, 35, 37, 29, -71, 38, 69]
  Compare 37 and 29
  Swap 37 and 29
  List after swap: [-50, 35, 29, 37, -71, 38, 69]
  Compare 37 and -71
  Swap 37 and -71
  List after swap: [-50, 35, 29, -71, 37, 38, 69]

Pass 4:
  Compare -50 and 35
  No swap needed
  Compare 35 and 29
  Swap 35 and 29
  List after swap: [-50, 29, 35, -71, 37, 38, 69]
  Compare 35 and -71
  Swap 35 and -71
  List after swap: [-50, 29, -71, 35, 37, 38, 69]

Pass 5:
  Compare -50 and 29
  No swap needed
  Compare 29 and -71
  Swap 29 and -71
  List after swap: [-50, -71, 29, 35, 37, 38, 69]

Pass 6:
  Compare -50 and -71
  Swap -50 and -71
  List after swap: [-71, -50, 29, 35, 37, 38, 69]

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

Final sorted list: [-71, -50, 29, 35, 37, 38, 69]
</think>

<response>-71, -50, 29, 35, 37, 38, 69</response>


input: Implement bubble sort on -54, 8, 63, 94 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-54, 8, 63, 94]

Pass 1:
  Compare -54 and 8
  No swap needed
  Compare 8 and 63
  No swap needed
  Compare 63 and 94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, 8, 63, 94]
</think>

<response>-54, 8, 63, 94</response>


input: Use the bubble sort technique to reorder -59, 71, -76, -19, 82, -73, -66, 91, -95, -80 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-59, 71, -76, -19, 82, -73, -66, 91, -95, -80]

Pass 1:
  Compare -59 and 71
  No swap needed
  Compare 71 and -76
  Swap 71 and -76
  List after swap: [-59, -76, 71, -19, 82, -73, -66, 91, -95, -80]
  Compare 71 and -19
  Swap 71 and -19
  List after swap: [-59, -76, -19, 71, 82, -73, -66, 91, -95, -80]
  Compare 71 and 82
  No swap needed
  Compare 82 and -73
  Swap 82 and -73
  List after swap: [-59, -76, -19, 71, -73, 82, -66, 91, -95, -80]
  Compare 82 and -66
  Swap 82 and -66
  List after swap: [-59, -76, -19, 71, -73, -66, 82, 91, -95, -80]
  Compare 82 and 91
  No swap needed
  Compare 91 and -95
  Swap 91 and -95
  List after swap: [-59, -76, -19, 71, -73, -66, 82, -95, 91, -80]
  Compare 91 and -80
  Swap 91 and -80
  List after swap: [-59, -76, -19, 71, -73, -66, 82, -95, -80, 91]

Pass 2:
  Compare -59 and -76
  Swap -59 and -76
  List after swap: [-76, -59, -19, 71, -73, -66, 82, -95, -80, 91]
  Compare -59 and -19
  No swap needed
  Compare -19 and 71
  No swap needed
  Compare 71 and -73
  Swap 71 and -73
  List after swap: [-76, -59, -19, -73, 71, -66, 82, -95, -80, 91]
  Compare 71 and -66
  Swap 71 and -66
  List after swap: [-76, -59, -19, -73, -66, 71, 82, -95, -80, 91]
  Compare 71 and 82
  No swap needed
  Compare 82 and -95
  Swap 82 and -95
  List after swap: [-76, -59, -19, -73, -66, 71, -95, 82, -80, 91]
  Compare 82 and -80
  Swap 82 and -80
  List after swap: [-76, -59, -19, -73, -66, 71, -95, -80, 82, 91]

Pass 3:
  Compare -76 and -59
  No swap needed
  Compare -59 and -19
  No swap needed
  Compare -19 and -73
  Swap -19 and -73
  List after swap: [-76, -59, -73, -19, -66, 71, -95, -80, 82, 91]
  Compare -19 and -66
  Swap -19 and -66
  List after swap: [-76, -59, -73, -66, -19, 71, -95, -80, 82, 91]
  Compare -19 and 71
  No swap needed
  Compare 71 and -95
  Swap 71 and -95
  List after swap: [-76, -59, -73, -66, -19, -95, 71, -80, 82, 91]
  Compare 71 and -80
  Swap 71 and -80
  List after swap: [-76, -59, -73, -66, -19, -95, -80, 71, 82, 91]

Pass 4:
  Compare -76 and -59
  No swap needed
  Compare -59 and -73
  Swap -59 and -73
  List after swap: [-76, -73, -59, -66, -19, -95, -80, 71, 82, 91]
  Compare -59 and -66
  Swap -59 and -66
  List after swap: [-76, -73, -66, -59, -19, -95, -80, 71, 82, 91]
  Compare -59 and -19
  No swap needed
  Compare -19 and -95
  Swap -19 and -95
  List after swap: [-76, -73, -66, -59, -95, -19, -80, 71, 82, 91]
  Compare -19 and -80
  Swap -19 and -80
  List after swap: [-76, -73, -66, -59, -95, -80, -19, 71, 82, 91]

Pass 5:
  Compare -76 and -73
  No swap needed
  Compare -73 and -66
  No swap needed
  Compare -66 and -59
  No swap needed
  Compare -59 and -95
  Swap -59 and -95
  List after swap: [-76, -73, -66, -95, -59, -80, -19, 71, 82, 91]
  Compare -59 and -80
  Swap -59 and -80
  List after swap: [-76, -73, -66, -95, -80, -59, -19, 71, 82, 91]

Pass 6:
  Compare -76 and -73
  No swap needed
  Compare -73 and -66
  No swap needed
  Compare -66 and -95
  Swap -66 and -95
  List after swap: [-76, -73, -95, -66, -80, -59, -19, 71, 82, 91]
  Compare -66 and -80
  Swap -66 and -80
  List after swap: [-76, -73, -95, -80, -66, -59, -19, 71, 82, 91]

Pass 7:
  Compare -76 and -73
  No swap needed
  Compare -73 and -95
  Swap -73 and -95
  List after swap: [-76, -95, -73, -80, -66, -59, -19, 71, 82, 91]
  Compare -73 and -80
  Swap -73 and -80
  List after swap: [-76, -95, -80, -73, -66, -59, -19, 71, 82, 91]

Pass 8:
  Compare -76 and -95
  Swap -76 and -95
  List after swap: [-95, -76, -80, -73, -66, -59, -19, 71, 82, 91]
  Compare -76 and -80
  Swap -76 and -80
  List after swap: [-95, -80, -76, -73, -66, -59, -19, 71, 82, 91]

Pass 9:
  Compare -95 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -80, -76, -73, -66, -59, -19, 71, 82, 91]
</think>

<response>-95, -80, -76, -73, -66, -59, -19, 71, 82, 91</response>


input: Perform a bubble sort on the integers 39, -23, -43, -17, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [39, -23, -43, -17]

Pass 1:
  Compare 39 and -23
  Swap 39 and -23
  List after swap: [-23, 39, -43, -17]
  Compare 39 and -43
  Swap 39 and -43
  List after swap: [-23, -43, 39, -17]
  Compare 39 and -17
  Swap 39 and -17
  List after swap: [-23, -43, -17, 39]

Pass 2:
  Compare -23 and -43
  Swap -23 and -43
  List after swap: [-43, -23, -17, 39]
  Compare -23 and -17
  No swap needed

Pass 3:
  Compare -43 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -23, -17, 39]
</think>

<response>-43, -23, -17, 39</response>


input: Use the bubble sort technique to reorder -18, -91, -1, -82, 27, -53 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-18, -91, -1, -82, 27, -53]

Pass 1:
  Compare -18 and -91
  Swap -18 and -91
  List after swap: [-91, -18, -1, -82, 27, -53]
  Compare -18 and -1
  No swap needed
  Compare -1 and -82
  Swap -1 and -82
  List after swap: [-91, -18, -82, -1, 27, -53]
  Compare -1 and 27
  No swap needed
  Compare 27 and -53
  Swap 27 and -53
  List after swap: [-91, -18, -82, -1, -53, 27]

Pass 2:
  Compare -91 and -18
  No swap needed
  Compare -18 and -82
  Swap -18 and -82
  List after swap: [-91, -82, -18, -1, -53, 27]
  Compare -18 and -1
  No swap needed
  Compare -1 and -53
  Swap -1 and -53
  List after swap: [-91, -82, -18, -53, -1, 27]

Pass 3:
  Compare -91 and -82
  No swap needed
  Compare -82 and -18
  No swap needed
  Compare -18 and -53
  Swap -18 and -53
  List after swap: [-91, -82, -53, -18, -1, 27]

Pass 4:
  Compare -91 and -82
  No swap needed
  Compare -82 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -82, -53, -18, -1, 27]
</think>

<response>-91, -82, -53, -18, -1, 27</response>


input: Using the bubble sort method, sort 32, -50, -42, -37, -43, -35, 79, 34 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [32, -50, -42, -37, -43, -35, 79, 34]

Pass 1:
  Compare 32 and -50
  Swap 32 and -50
  List after swap: [-50, 32, -42, -37, -43, -35, 79, 34]
  Compare 32 and -42
  Swap 32 and -42
  List after swap: [-50, -42, 32, -37, -43, -35, 79, 34]
  Compare 32 and -37
  Swap 32 and -37
  List after swap: [-50, -42, -37, 32, -43, -35, 79, 34]
  Compare 32 and -43
  Swap 32 and -43
  List after swap: [-50, -42, -37, -43, 32, -35, 79, 34]
  Compare 32 and -35
  Swap 32 and -35
  List after swap: [-50, -42, -37, -43, -35, 32, 79, 34]
  Compare 32 and 79
  No swap needed
  Compare 79 and 34
  Swap 79 and 34
  List after swap: [-50, -42, -37, -43, -35, 32, 34, 79]

Pass 2:
  Compare -50 and -42
  No swap needed
  Compare -42 and -37
  No swap needed
  Compare -37 and -43
  Swap -37 and -43
  List after swap: [-50, -42, -43, -37, -35, 32, 34, 79]
  Compare -37 and -35
  No swap needed
  Compare -35 and 32
  No swap needed
  Compare 32 and 34
  No swap needed

Pass 3:
  Compare -50 and -42
  No swap needed
  Compare -42 and -43
  Swap -42 and -43
  List after swap: [-50, -43, -42, -37, -35, 32, 34, 79]
  Compare -42 and -37
  No swap needed
  Compare -37 and -35
  No swap needed
  Compare -35 and 32
  No swap needed

Pass 4:
  Compare -50 and -43
  No swap needed
  Compare -43 and -42
  No swap needed
  Compare -42 and -37
  No swap needed
  Compare -37 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -43, -42, -37, -35, 32, 34, 79]
</think>

<response>-50, -43, -42, -37, -35, 32, 34, 79</response>


input: Use the bubble sort technique to reorder -2, 70, 51 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-2, 70, 51]

Pass 1:
  Compare -2 and 70
  No swap needed
  Compare 70 and 51
  Swap 70 and 51
  List after swap: [-2, 51, 70]

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

Final sorted list: [-2, 51, 70]
</think>

<response>-2, 51, 70</response>