input: Sort these integers 89, 88, 23, -52, 29, 58, -2 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [89, 88, 23, -52, 29, 58, -2]

Pass 1:
  Compare 89 and 88
  Swap 89 and 88
  List after swap: [88, 89, 23, -52, 29, 58, -2]
  Compare 89 and 23
  Swap 89 and 23
  List after swap: [88, 23, 89, -52, 29, 58, -2]
  Compare 89 and -52
  Swap 89 and -52
  List after swap: [88, 23, -52, 89, 29, 58, -2]
  Compare 89 and 29
  Swap 89 and 29
  List after swap: [88, 23, -52, 29, 89, 58, -2]
  Compare 89 and 58
  Swap 89 and 58
  List after swap: [88, 23, -52, 29, 58, 89, -2]
  Compare 89 and -2
  Swap 89 and -2
  List after swap: [88, 23, -52, 29, 58, -2, 89]

Pass 2:
  Compare 88 and 23
  Swap 88 and 23
  List after swap: [23, 88, -52, 29, 58, -2, 89]
  Compare 88 and -52
  Swap 88 and -52
  List after swap: [23, -52, 88, 29, 58, -2, 89]
  Compare 88 and 29
  Swap 88 and 29
  List after swap: [23, -52, 29, 88, 58, -2, 89]
  Compare 88 and 58
  Swap 88 and 58
  List after swap: [23, -52, 29, 58, 88, -2, 89]
  Compare 88 and -2
  Swap 88 and -2
  List after swap: [23, -52, 29, 58, -2, 88, 89]

Pass 3:
  Compare 23 and -52
  Swap 23 and -52
  List after swap: [-52, 23, 29, 58, -2, 88, 89]
  Compare 23 and 29
  No swap needed
  Compare 29 and 58
  No swap needed
  Compare 58 and -2
  Swap 58 and -2
  List after swap: [-52, 23, 29, -2, 58, 88, 89]

Pass 4:
  Compare -52 and 23
  No swap needed
  Compare 23 and 29
  No swap needed
  Compare 29 and -2
  Swap 29 and -2
  List after swap: [-52, 23, -2, 29, 58, 88, 89]

Pass 5:
  Compare -52 and 23
  No swap needed
  Compare 23 and -2
  Swap 23 and -2
  List after swap: [-52, -2, 23, 29, 58, 88, 89]

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

Final sorted list: [-52, -2, 23, 29, 58, 88, 89]
</think>

<response>-52, -2, 23, 29, 58, 88, 89</response>


input: Arrange the numbers 75, -35, 93, -27, -89, -1, -3, -54, 10, 42 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [75, -35, 93, -27, -89, -1, -3, -54, 10, 42]

Pass 1:
  Compare 75 and -35
  Swap 75 and -35
  List after swap: [-35, 75, 93, -27, -89, -1, -3, -54, 10, 42]
  Compare 75 and 93
  No swap needed
  Compare 93 and -27
  Swap 93 and -27
  List after swap: [-35, 75, -27, 93, -89, -1, -3, -54, 10, 42]
  Compare 93 and -89
  Swap 93 and -89
  List after swap: [-35, 75, -27, -89, 93, -1, -3, -54, 10, 42]
  Compare 93 and -1
  Swap 93 and -1
  List after swap: [-35, 75, -27, -89, -1, 93, -3, -54, 10, 42]
  Compare 93 and -3
  Swap 93 and -3
  List after swap: [-35, 75, -27, -89, -1, -3, 93, -54, 10, 42]
  Compare 93 and -54
  Swap 93 and -54
  List after swap: [-35, 75, -27, -89, -1, -3, -54, 93, 10, 42]
  Compare 93 and 10
  Swap 93 and 10
  List after swap: [-35, 75, -27, -89, -1, -3, -54, 10, 93, 42]
  Compare 93 and 42
  Swap 93 and 42
  List after swap: [-35, 75, -27, -89, -1, -3, -54, 10, 42, 93]

Pass 2:
  Compare -35 and 75
  No swap needed
  Compare 75 and -27
  Swap 75 and -27
  List after swap: [-35, -27, 75, -89, -1, -3, -54, 10, 42, 93]
  Compare 75 and -89
  Swap 75 and -89
  List after swap: [-35, -27, -89, 75, -1, -3, -54, 10, 42, 93]
  Compare 75 and -1
  Swap 75 and -1
  List after swap: [-35, -27, -89, -1, 75, -3, -54, 10, 42, 93]
  Compare 75 and -3
  Swap 75 and -3
  List after swap: [-35, -27, -89, -1, -3, 75, -54, 10, 42, 93]
  Compare 75 and -54
  Swap 75 and -54
  List after swap: [-35, -27, -89, -1, -3, -54, 75, 10, 42, 93]
  Compare 75 and 10
  Swap 75 and 10
  List after swap: [-35, -27, -89, -1, -3, -54, 10, 75, 42, 93]
  Compare 75 and 42
  Swap 75 and 42
  List after swap: [-35, -27, -89, -1, -3, -54, 10, 42, 75, 93]

Pass 3:
  Compare -35 and -27
  No swap needed
  Compare -27 and -89
  Swap -27 and -89
  List after swap: [-35, -89, -27, -1, -3, -54, 10, 42, 75, 93]
  Compare -27 and -1
  No swap needed
  Compare -1 and -3
  Swap -1 and -3
  List after swap: [-35, -89, -27, -3, -1, -54, 10, 42, 75, 93]
  Compare -1 and -54
  Swap -1 and -54
  List after swap: [-35, -89, -27, -3, -54, -1, 10, 42, 75, 93]
  Compare -1 and 10
  No swap needed
  Compare 10 and 42
  No swap needed

Pass 4:
  Compare -35 and -89
  Swap -35 and -89
  List after swap: [-89, -35, -27, -3, -54, -1, 10, 42, 75, 93]
  Compare -35 and -27
  No swap needed
  Compare -27 and -3
  No swap needed
  Compare -3 and -54
  Swap -3 and -54
  List after swap: [-89, -35, -27, -54, -3, -1, 10, 42, 75, 93]
  Compare -3 and -1
  No swap needed
  Compare -1 and 10
  No swap needed

Pass 5:
  Compare -89 and -35
  No swap needed
  Compare -35 and -27
  No swap needed
  Compare -27 and -54
  Swap -27 and -54
  List after swap: [-89, -35, -54, -27, -3, -1, 10, 42, 75, 93]
  Compare -27 and -3
  No swap needed
  Compare -3 and -1
  No swap needed

Pass 6:
  Compare -89 and -35
  No swap needed
  Compare -35 and -54
  Swap -35 and -54
  List after swap: [-89, -54, -35, -27, -3, -1, 10, 42, 75, 93]
  Compare -35 and -27
  No swap needed
  Compare -27 and -3
  No swap needed

Pass 7:
  Compare -89 and -54
  No swap needed
  Compare -54 and -35
  No swap needed
  Compare -35 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -54, -35, -27, -3, -1, 10, 42, 75, 93]
</think>

<response>-89, -54, -35, -27, -3, -1, 10, 42, 75, 93</response>


input: Perform a bubble sort on the integers -63, 16, -53, -27, -95, 24, 64, -36, -100, 21, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-63, 16, -53, -27, -95, 24, 64, -36, -100, 21]

Pass 1:
  Compare -63 and 16
  No swap needed
  Compare 16 and -53
  Swap 16 and -53
  List after swap: [-63, -53, 16, -27, -95, 24, 64, -36, -100, 21]
  Compare 16 and -27
  Swap 16 and -27
  List after swap: [-63, -53, -27, 16, -95, 24, 64, -36, -100, 21]
  Compare 16 and -95
  Swap 16 and -95
  List after swap: [-63, -53, -27, -95, 16, 24, 64, -36, -100, 21]
  Compare 16 and 24
  No swap needed
  Compare 24 and 64
  No swap needed
  Compare 64 and -36
  Swap 64 and -36
  List after swap: [-63, -53, -27, -95, 16, 24, -36, 64, -100, 21]
  Compare 64 and -100
  Swap 64 and -100
  List after swap: [-63, -53, -27, -95, 16, 24, -36, -100, 64, 21]
  Compare 64 and 21
  Swap 64 and 21
  List after swap: [-63, -53, -27, -95, 16, 24, -36, -100, 21, 64]

Pass 2:
  Compare -63 and -53
  No swap needed
  Compare -53 and -27
  No swap needed
  Compare -27 and -95
  Swap -27 and -95
  List after swap: [-63, -53, -95, -27, 16, 24, -36, -100, 21, 64]
  Compare -27 and 16
  No swap needed
  Compare 16 and 24
  No swap needed
  Compare 24 and -36
  Swap 24 and -36
  List after swap: [-63, -53, -95, -27, 16, -36, 24, -100, 21, 64]
  Compare 24 and -100
  Swap 24 and -100
  List after swap: [-63, -53, -95, -27, 16, -36, -100, 24, 21, 64]
  Compare 24 and 21
  Swap 24 and 21
  List after swap: [-63, -53, -95, -27, 16, -36, -100, 21, 24, 64]

Pass 3:
  Compare -63 and -53
  No swap needed
  Compare -53 and -95
  Swap -53 and -95
  List after swap: [-63, -95, -53, -27, 16, -36, -100, 21, 24, 64]
  Compare -53 and -27
  No swap needed
  Compare -27 and 16
  No swap needed
  Compare 16 and -36
  Swap 16 and -36
  List after swap: [-63, -95, -53, -27, -36, 16, -100, 21, 24, 64]
  Compare 16 and -100
  Swap 16 and -100
  List after swap: [-63, -95, -53, -27, -36, -100, 16, 21, 24, 64]
  Compare 16 and 21
  No swap needed

Pass 4:
  Compare -63 and -95
  Swap -63 and -95
  List after swap: [-95, -63, -53, -27, -36, -100, 16, 21, 24, 64]
  Compare -63 and -53
  No swap needed
  Compare -53 and -27
  No swap needed
  Compare -27 and -36
  Swap -27 and -36
  List after swap: [-95, -63, -53, -36, -27, -100, 16, 21, 24, 64]
  Compare -27 and -100
  Swap -27 and -100
  List after swap: [-95, -63, -53, -36, -100, -27, 16, 21, 24, 64]
  Compare -27 and 16
  No swap needed

Pass 5:
  Compare -95 and -63
  No swap needed
  Compare -63 and -53
  No swap needed
  Compare -53 and -36
  No swap needed
  Compare -36 and -100
  Swap -36 and -100
  List after swap: [-95, -63, -53, -100, -36, -27, 16, 21, 24, 64]
  Compare -36 and -27
  No swap needed

Pass 6:
  Compare -95 and -63
  No swap needed
  Compare -63 and -53
  No swap needed
  Compare -53 and -100
  Swap -53 and -100
  List after swap: [-95, -63, -100, -53, -36, -27, 16, 21, 24, 64]
  Compare -53 and -36
  No swap needed

Pass 7:
  Compare -95 and -63
  No swap needed
  Compare -63 and -100
  Swap -63 and -100
  List after swap: [-95, -100, -63, -53, -36, -27, 16, 21, 24, 64]
  Compare -63 and -53
  No swap needed

Pass 8:
  Compare -95 and -100
  Swap -95 and -100
  List after swap: [-100, -95, -63, -53, -36, -27, 16, 21, 24, 64]
  Compare -95 and -63
  No swap needed

Pass 9:
  Compare -100 and -95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -95, -63, -53, -36, -27, 16, 21, 24, 64]
</think>

<response>-100, -95, -63, -53, -36, -27, 16, 21, 24, 64</response>


input: Sort the list -85, 69, -66, 38, 92, -26, 48, 9, -50, -92 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-85, 69, -66, 38, 92, -26, 48, 9, -50, -92]

Pass 1:
  Compare -85 and 69
  No swap needed
  Compare 69 and -66
  Swap 69 and -66
  List after swap: [-85, -66, 69, 38, 92, -26, 48, 9, -50, -92]
  Compare 69 and 38
  Swap 69 and 38
  List after swap: [-85, -66, 38, 69, 92, -26, 48, 9, -50, -92]
  Compare 69 and 92
  No swap needed
  Compare 92 and -26
  Swap 92 and -26
  List after swap: [-85, -66, 38, 69, -26, 92, 48, 9, -50, -92]
  Compare 92 and 48
  Swap 92 and 48
  List after swap: [-85, -66, 38, 69, -26, 48, 92, 9, -50, -92]
  Compare 92 and 9
  Swap 92 and 9
  List after swap: [-85, -66, 38, 69, -26, 48, 9, 92, -50, -92]
  Compare 92 and -50
  Swap 92 and -50
  List after swap: [-85, -66, 38, 69, -26, 48, 9, -50, 92, -92]
  Compare 92 and -92
  Swap 92 and -92
  List after swap: [-85, -66, 38, 69, -26, 48, 9, -50, -92, 92]

Pass 2:
  Compare -85 and -66
  No swap needed
  Compare -66 and 38
  No swap needed
  Compare 38 and 69
  No swap needed
  Compare 69 and -26
  Swap 69 and -26
  List after swap: [-85, -66, 38, -26, 69, 48, 9, -50, -92, 92]
  Compare 69 and 48
  Swap 69 and 48
  List after swap: [-85, -66, 38, -26, 48, 69, 9, -50, -92, 92]
  Compare 69 and 9
  Swap 69 and 9
  List after swap: [-85, -66, 38, -26, 48, 9, 69, -50, -92, 92]
  Compare 69 and -50
  Swap 69 and -50
  List after swap: [-85, -66, 38, -26, 48, 9, -50, 69, -92, 92]
  Compare 69 and -92
  Swap 69 and -92
  List after swap: [-85, -66, 38, -26, 48, 9, -50, -92, 69, 92]

Pass 3:
  Compare -85 and -66
  No swap needed
  Compare -66 and 38
  No swap needed
  Compare 38 and -26
  Swap 38 and -26
  List after swap: [-85, -66, -26, 38, 48, 9, -50, -92, 69, 92]
  Compare 38 and 48
  No swap needed
  Compare 48 and 9
  Swap 48 and 9
  List after swap: [-85, -66, -26, 38, 9, 48, -50, -92, 69, 92]
  Compare 48 and -50
  Swap 48 and -50
  List after swap: [-85, -66, -26, 38, 9, -50, 48, -92, 69, 92]
  Compare 48 and -92
  Swap 48 and -92
  List after swap: [-85, -66, -26, 38, 9, -50, -92, 48, 69, 92]

Pass 4:
  Compare -85 and -66
  No swap needed
  Compare -66 and -26
  No swap needed
  Compare -26 and 38
  No swap needed
  Compare 38 and 9
  Swap 38 and 9
  List after swap: [-85, -66, -26, 9, 38, -50, -92, 48, 69, 92]
  Compare 38 and -50
  Swap 38 and -50
  List after swap: [-85, -66, -26, 9, -50, 38, -92, 48, 69, 92]
  Compare 38 and -92
  Swap 38 and -92
  List after swap: [-85, -66, -26, 9, -50, -92, 38, 48, 69, 92]

Pass 5:
  Compare -85 and -66
  No swap needed
  Compare -66 and -26
  No swap needed
  Compare -26 and 9
  No swap needed
  Compare 9 and -50
  Swap 9 and -50
  List after swap: [-85, -66, -26, -50, 9, -92, 38, 48, 69, 92]
  Compare 9 and -92
  Swap 9 and -92
  List after swap: [-85, -66, -26, -50, -92, 9, 38, 48, 69, 92]

Pass 6:
  Compare -85 and -66
  No swap needed
  Compare -66 and -26
  No swap needed
  Compare -26 and -50
  Swap -26 and -50
  List after swap: [-85, -66, -50, -26, -92, 9, 38, 48, 69, 92]
  Compare -26 and -92
  Swap -26 and -92
  List after swap: [-85, -66, -50, -92, -26, 9, 38, 48, 69, 92]

Pass 7:
  Compare -85 and -66
  No swap needed
  Compare -66 and -50
  No swap needed
  Compare -50 and -92
  Swap -50 and -92
  List after swap: [-85, -66, -92, -50, -26, 9, 38, 48, 69, 92]

Pass 8:
  Compare -85 and -66
  No swap needed
  Compare -66 and -92
  Swap -66 and -92
  List after swap: [-85, -92, -66, -50, -26, 9, 38, 48, 69, 92]

Pass 9:
  Compare -85 and -92
  Swap -85 and -92
  List after swap: [-92, -85, -66, -50, -26, 9, 38, 48, 69, 92]

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

Final sorted list: [-92, -85, -66, -50, -26, 9, 38, 48, 69, 92]
</think>

<response>-92, -85, -66, -50, -26, 9, 38, 48, 69, 92</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 43, -61, -13, 94, -30, -34, -19, 21, 11, 17.

output:
<think>
Initial list: [43, -61, -13, 94, -30, -34, -19, 21, 11, 17]

Pass 1:
  Compare 43 and -61
  Swap 43 and -61
  List after swap: [-61, 43, -13, 94, -30, -34, -19, 21, 11, 17]
  Compare 43 and -13
  Swap 43 and -13
  List after swap: [-61, -13, 43, 94, -30, -34, -19, 21, 11, 17]
  Compare 43 and 94
  No swap needed
  Compare 94 and -30
  Swap 94 and -30
  List after swap: [-61, -13, 43, -30, 94, -34, -19, 21, 11, 17]
  Compare 94 and -34
  Swap 94 and -34
  List after swap: [-61, -13, 43, -30, -34, 94, -19, 21, 11, 17]
  Compare 94 and -19
  Swap 94 and -19
  List after swap: [-61, -13, 43, -30, -34, -19, 94, 21, 11, 17]
  Compare 94 and 21
  Swap 94 and 21
  List after swap: [-61, -13, 43, -30, -34, -19, 21, 94, 11, 17]
  Compare 94 and 11
  Swap 94 and 11
  List after swap: [-61, -13, 43, -30, -34, -19, 21, 11, 94, 17]
  Compare 94 and 17
  Swap 94 and 17
  List after swap: [-61, -13, 43, -30, -34, -19, 21, 11, 17, 94]

Pass 2:
  Compare -61 and -13
  No swap needed
  Compare -13 and 43
  No swap needed
  Compare 43 and -30
  Swap 43 and -30
  List after swap: [-61, -13, -30, 43, -34, -19, 21, 11, 17, 94]
  Compare 43 and -34
  Swap 43 and -34
  List after swap: [-61, -13, -30, -34, 43, -19, 21, 11, 17, 94]
  Compare 43 and -19
  Swap 43 and -19
  List after swap: [-61, -13, -30, -34, -19, 43, 21, 11, 17, 94]
  Compare 43 and 21
  Swap 43 and 21
  List after swap: [-61, -13, -30, -34, -19, 21, 43, 11, 17, 94]
  Compare 43 and 11
  Swap 43 and 11
  List after swap: [-61, -13, -30, -34, -19, 21, 11, 43, 17, 94]
  Compare 43 and 17
  Swap 43 and 17
  List after swap: [-61, -13, -30, -34, -19, 21, 11, 17, 43, 94]

Pass 3:
  Compare -61 and -13
  No swap needed
  Compare -13 and -30
  Swap -13 and -30
  List after swap: [-61, -30, -13, -34, -19, 21, 11, 17, 43, 94]
  Compare -13 and -34
  Swap -13 and -34
  List after swap: [-61, -30, -34, -13, -19, 21, 11, 17, 43, 94]
  Compare -13 and -19
  Swap -13 and -19
  List after swap: [-61, -30, -34, -19, -13, 21, 11, 17, 43, 94]
  Compare -13 and 21
  No swap needed
  Compare 21 and 11
  Swap 21 and 11
  List after swap: [-61, -30, -34, -19, -13, 11, 21, 17, 43, 94]
  Compare 21 and 17
  Swap 21 and 17
  List after swap: [-61, -30, -34, -19, -13, 11, 17, 21, 43, 94]

Pass 4:
  Compare -61 and -30
  No swap needed
  Compare -30 and -34
  Swap -30 and -34
  List after swap: [-61, -34, -30, -19, -13, 11, 17, 21, 43, 94]
  Compare -30 and -19
  No swap needed
  Compare -19 and -13
  No swap needed
  Compare -13 and 11
  No swap needed
  Compare 11 and 17
  No swap needed

Pass 5:
  Compare -61 and -34
  No swap needed
  Compare -34 and -30
  No swap needed
  Compare -30 and -19
  No swap needed
  Compare -19 and -13
  No swap needed
  Compare -13 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -34, -30, -19, -13, 11, 17, 21, 43, 94]
</think>

<response>-61, -34, -30, -19, -13, 11, 17, 21, 43, 94</response>


input: Using the bubble sort method, sort -18, 86 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-18, 86]

Pass 1:
  Compare -18 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-18, 86]
</think>

<response>-18, 86</response>


input: Implement bubble sort on 5, -16, -76, -37, -94, 52, 2 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [5, -16, -76, -37, -94, 52, 2]

Pass 1:
  Compare 5 and -16
  Swap 5 and -16
  List after swap: [-16, 5, -76, -37, -94, 52, 2]
  Compare 5 and -76
  Swap 5 and -76
  List after swap: [-16, -76, 5, -37, -94, 52, 2]
  Compare 5 and -37
  Swap 5 and -37
  List after swap: [-16, -76, -37, 5, -94, 52, 2]
  Compare 5 and -94
  Swap 5 and -94
  List after swap: [-16, -76, -37, -94, 5, 52, 2]
  Compare 5 and 52
  No swap needed
  Compare 52 and 2
  Swap 52 and 2
  List after swap: [-16, -76, -37, -94, 5, 2, 52]

Pass 2:
  Compare -16 and -76
  Swap -16 and -76
  List after swap: [-76, -16, -37, -94, 5, 2, 52]
  Compare -16 and -37
  Swap -16 and -37
  List after swap: [-76, -37, -16, -94, 5, 2, 52]
  Compare -16 and -94
  Swap -16 and -94
  List after swap: [-76, -37, -94, -16, 5, 2, 52]
  Compare -16 and 5
  No swap needed
  Compare 5 and 2
  Swap 5 and 2
  List after swap: [-76, -37, -94, -16, 2, 5, 52]

Pass 3:
  Compare -76 and -37
  No swap needed
  Compare -37 and -94
  Swap -37 and -94
  List after swap: [-76, -94, -37, -16, 2, 5, 52]
  Compare -37 and -16
  No swap needed
  Compare -16 and 2
  No swap needed

Pass 4:
  Compare -76 and -94
  Swap -76 and -94
  List after swap: [-94, -76, -37, -16, 2, 5, 52]
  Compare -76 and -37
  No swap needed
  Compare -37 and -16
  No swap needed

Pass 5:
  Compare -94 and -76
  No swap needed
  Compare -76 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -76, -37, -16, 2, 5, 52]
</think>

<response>-94, -76, -37, -16, 2, 5, 52</response>


input: Use the bubble sort technique to reorder 88, -33 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [88, -33]

Pass 1:
  Compare 88 and -33
  Swap 88 and -33
  List after swap: [-33, 88]

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

Final sorted list: [-33, 88]
</think>

<response>-33, 88</response>


input: Carry out the bubble sort algorithm on 46, -39, -77, 73 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [46, -39, -77, 73]

Pass 1:
  Compare 46 and -39
  Swap 46 and -39
  List after swap: [-39, 46, -77, 73]
  Compare 46 and -77
  Swap 46 and -77
  List after swap: [-39, -77, 46, 73]
  Compare 46 and 73
  No swap needed

Pass 2:
  Compare -39 and -77
  Swap -39 and -77
  List after swap: [-77, -39, 46, 73]
  Compare -39 and 46
  No swap needed

Pass 3:
  Compare -77 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -39, 46, 73]
</think>

<response>-77, -39, 46, 73</response>


input: Use the bubble sort technique to reorder -75, 34, 77 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-75, 34, 77]

Pass 1:
  Compare -75 and 34
  No swap needed
  Compare 34 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, 34, 77]
</think>

<response>-75, 34, 77</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 93, -16, -89.

output:
<think>
Initial list: [93, -16, -89]

Pass 1:
  Compare 93 and -16
  Swap 93 and -16
  List after swap: [-16, 93, -89]
  Compare 93 and -89
  Swap 93 and -89
  List after swap: [-16, -89, 93]

Pass 2:
  Compare -16 and -89
  Swap -16 and -89
  List after swap: [-89, -16, 93]

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

Final sorted list: [-89, -16, 93]
</think>

<response>-89, -16, 93</response>


input: Carry out the bubble sort algorithm on 60, 44, -66, 5, -94, 82, 90, 31, 11 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [60, 44, -66, 5, -94, 82, 90, 31, 11]

Pass 1:
  Compare 60 and 44
  Swap 60 and 44
  List after swap: [44, 60, -66, 5, -94, 82, 90, 31, 11]
  Compare 60 and -66
  Swap 60 and -66
  List after swap: [44, -66, 60, 5, -94, 82, 90, 31, 11]
  Compare 60 and 5
  Swap 60 and 5
  List after swap: [44, -66, 5, 60, -94, 82, 90, 31, 11]
  Compare 60 and -94
  Swap 60 and -94
  List after swap: [44, -66, 5, -94, 60, 82, 90, 31, 11]
  Compare 60 and 82
  No swap needed
  Compare 82 and 90
  No swap needed
  Compare 90 and 31
  Swap 90 and 31
  List after swap: [44, -66, 5, -94, 60, 82, 31, 90, 11]
  Compare 90 and 11
  Swap 90 and 11
  List after swap: [44, -66, 5, -94, 60, 82, 31, 11, 90]

Pass 2:
  Compare 44 and -66
  Swap 44 and -66
  List after swap: [-66, 44, 5, -94, 60, 82, 31, 11, 90]
  Compare 44 and 5
  Swap 44 and 5
  List after swap: [-66, 5, 44, -94, 60, 82, 31, 11, 90]
  Compare 44 and -94
  Swap 44 and -94
  List after swap: [-66, 5, -94, 44, 60, 82, 31, 11, 90]
  Compare 44 and 60
  No swap needed
  Compare 60 and 82
  No swap needed
  Compare 82 and 31
  Swap 82 and 31
  List after swap: [-66, 5, -94, 44, 60, 31, 82, 11, 90]
  Compare 82 and 11
  Swap 82 and 11
  List after swap: [-66, 5, -94, 44, 60, 31, 11, 82, 90]

Pass 3:
  Compare -66 and 5
  No swap needed
  Compare 5 and -94
  Swap 5 and -94
  List after swap: [-66, -94, 5, 44, 60, 31, 11, 82, 90]
  Compare 5 and 44
  No swap needed
  Compare 44 and 60
  No swap needed
  Compare 60 and 31
  Swap 60 and 31
  List after swap: [-66, -94, 5, 44, 31, 60, 11, 82, 90]
  Compare 60 and 11
  Swap 60 and 11
  List after swap: [-66, -94, 5, 44, 31, 11, 60, 82, 90]

Pass 4:
  Compare -66 and -94
  Swap -66 and -94
  List after swap: [-94, -66, 5, 44, 31, 11, 60, 82, 90]
  Compare -66 and 5
  No swap needed
  Compare 5 and 44
  No swap needed
  Compare 44 and 31
  Swap 44 and 31
  List after swap: [-94, -66, 5, 31, 44, 11, 60, 82, 90]
  Compare 44 and 11
  Swap 44 and 11
  List after swap: [-94, -66, 5, 31, 11, 44, 60, 82, 90]

Pass 5:
  Compare -94 and -66
  No swap needed
  Compare -66 and 5
  No swap needed
  Compare 5 and 31
  No swap needed
  Compare 31 and 11
  Swap 31 and 11
  List after swap: [-94, -66, 5, 11, 31, 44, 60, 82, 90]

Pass 6:
  Compare -94 and -66
  No swap needed
  Compare -66 and 5
  No swap needed
  Compare 5 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -66, 5, 11, 31, 44, 60, 82, 90]
</think>

<response>-94, -66, 5, 11, 31, 44, 60, 82, 90</response>


input: Using the bubble sort method, sort -73, 64 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-73, 64]

Pass 1:
  Compare -73 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, 64]
</think>

<response>-73, 64</response>


input: Use the bubble sort technique to reorder 10, -98, -44, 7, -86, -62, 87, -60, -53 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [10, -98, -44, 7, -86, -62, 87, -60, -53]

Pass 1:
  Compare 10 and -98
  Swap 10 and -98
  List after swap: [-98, 10, -44, 7, -86, -62, 87, -60, -53]
  Compare 10 and -44
  Swap 10 and -44
  List after swap: [-98, -44, 10, 7, -86, -62, 87, -60, -53]
  Compare 10 and 7
  Swap 10 and 7
  List after swap: [-98, -44, 7, 10, -86, -62, 87, -60, -53]
  Compare 10 and -86
  Swap 10 and -86
  List after swap: [-98, -44, 7, -86, 10, -62, 87, -60, -53]
  Compare 10 and -62
  Swap 10 and -62
  List after swap: [-98, -44, 7, -86, -62, 10, 87, -60, -53]
  Compare 10 and 87
  No swap needed
  Compare 87 and -60
  Swap 87 and -60
  List after swap: [-98, -44, 7, -86, -62, 10, -60, 87, -53]
  Compare 87 and -53
  Swap 87 and -53
  List after swap: [-98, -44, 7, -86, -62, 10, -60, -53, 87]

Pass 2:
  Compare -98 and -44
  No swap needed
  Compare -44 and 7
  No swap needed
  Compare 7 and -86
  Swap 7 and -86
  List after swap: [-98, -44, -86, 7, -62, 10, -60, -53, 87]
  Compare 7 and -62
  Swap 7 and -62
  List after swap: [-98, -44, -86, -62, 7, 10, -60, -53, 87]
  Compare 7 and 10
  No swap needed
  Compare 10 and -60
  Swap 10 and -60
  List after swap: [-98, -44, -86, -62, 7, -60, 10, -53, 87]
  Compare 10 and -53
  Swap 10 and -53
  List after swap: [-98, -44, -86, -62, 7, -60, -53, 10, 87]

Pass 3:
  Compare -98 and -44
  No swap needed
  Compare -44 and -86
  Swap -44 and -86
  List after swap: [-98, -86, -44, -62, 7, -60, -53, 10, 87]
  Compare -44 and -62
  Swap -44 and -62
  List after swap: [-98, -86, -62, -44, 7, -60, -53, 10, 87]
  Compare -44 and 7
  No swap needed
  Compare 7 and -60
  Swap 7 and -60
  List after swap: [-98, -86, -62, -44, -60, 7, -53, 10, 87]
  Compare 7 and -53
  Swap 7 and -53
  List after swap: [-98, -86, -62, -44, -60, -53, 7, 10, 87]

Pass 4:
  Compare -98 and -86
  No swap needed
  Compare -86 and -62
  No swap needed
  Compare -62 and -44
  No swap needed
  Compare -44 and -60
  Swap -44 and -60
  List after swap: [-98, -86, -62, -60, -44, -53, 7, 10, 87]
  Compare -44 and -53
  Swap -44 and -53
  List after swap: [-98, -86, -62, -60, -53, -44, 7, 10, 87]

Pass 5:
  Compare -98 and -86
  No swap needed
  Compare -86 and -62
  No swap needed
  Compare -62 and -60
  No swap needed
  Compare -60 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -86, -62, -60, -53, -44, 7, 10, 87]
</think>

<response>-98, -86, -62, -60, -53, -44, 7, 10, 87</response>


input: Demonstrate how bubble sort orders the integers 70, -50, 45, 30 in ascending sequence, showing all steps.

output:
<think>
Initial list: [70, -50, 45, 30]

Pass 1:
  Compare 70 and -50
  Swap 70 and -50
  List after swap: [-50, 70, 45, 30]
  Compare 70 and 45
  Swap 70 and 45
  List after swap: [-50, 45, 70, 30]
  Compare 70 and 30
  Swap 70 and 30
  List after swap: [-50, 45, 30, 70]

Pass 2:
  Compare -50 and 45
  No swap needed
  Compare 45 and 30
  Swap 45 and 30
  List after swap: [-50, 30, 45, 70]

Pass 3:
  Compare -50 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 30, 45, 70]
</think>

<response>-50, 30, 45, 70</response>


input: Implement bubble sort on -87, 88, -83, -84, 17, -51, -14, -54, 32 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-87, 88, -83, -84, 17, -51, -14, -54, 32]

Pass 1:
  Compare -87 and 88
  No swap needed
  Compare 88 and -83
  Swap 88 and -83
  List after swap: [-87, -83, 88, -84, 17, -51, -14, -54, 32]
  Compare 88 and -84
  Swap 88 and -84
  List after swap: [-87, -83, -84, 88, 17, -51, -14, -54, 32]
  Compare 88 and 17
  Swap 88 and 17
  List after swap: [-87, -83, -84, 17, 88, -51, -14, -54, 32]
  Compare 88 and -51
  Swap 88 and -51
  List after swap: [-87, -83, -84, 17, -51, 88, -14, -54, 32]
  Compare 88 and -14
  Swap 88 and -14
  List after swap: [-87, -83, -84, 17, -51, -14, 88, -54, 32]
  Compare 88 and -54
  Swap 88 and -54
  List after swap: [-87, -83, -84, 17, -51, -14, -54, 88, 32]
  Compare 88 and 32
  Swap 88 and 32
  List after swap: [-87, -83, -84, 17, -51, -14, -54, 32, 88]

Pass 2:
  Compare -87 and -83
  No swap needed
  Compare -83 and -84
  Swap -83 and -84
  List after swap: [-87, -84, -83, 17, -51, -14, -54, 32, 88]
  Compare -83 and 17
  No swap needed
  Compare 17 and -51
  Swap 17 and -51
  List after swap: [-87, -84, -83, -51, 17, -14, -54, 32, 88]
  Compare 17 and -14
  Swap 17 and -14
  List after swap: [-87, -84, -83, -51, -14, 17, -54, 32, 88]
  Compare 17 and -54
  Swap 17 and -54
  List after swap: [-87, -84, -83, -51, -14, -54, 17, 32, 88]
  Compare 17 and 32
  No swap needed

Pass 3:
  Compare -87 and -84
  No swap needed
  Compare -84 and -83
  No swap needed
  Compare -83 and -51
  No swap needed
  Compare -51 and -14
  No swap needed
  Compare -14 and -54
  Swap -14 and -54
  List after swap: [-87, -84, -83, -51, -54, -14, 17, 32, 88]
  Compare -14 and 17
  No swap needed

Pass 4:
  Compare -87 and -84
  No swap needed
  Compare -84 and -83
  No swap needed
  Compare -83 and -51
  No swap needed
  Compare -51 and -54
  Swap -51 and -54
  List after swap: [-87, -84, -83, -54, -51, -14, 17, 32, 88]
  Compare -51 and -14
  No swap needed

Pass 5:
  Compare -87 and -84
  No swap needed
  Compare -84 and -83
  No swap needed
  Compare -83 and -54
  No swap needed
  Compare -54 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -84, -83, -54, -51, -14, 17, 32, 88]
</think>

<response>-87, -84, -83, -54, -51, -14, 17, 32, 88</response>


input: Sort these integers -95, -48, -50 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-95, -48, -50]

Pass 1:
  Compare -95 and -48
  No swap needed
  Compare -48 and -50
  Swap -48 and -50
  List after swap: [-95, -50, -48]

Pass 2:
  Compare -95 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -50, -48]
</think>

<response>-95, -50, -48</response>


input: Implement bubble sort on 18, -65, -25 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [18, -65, -25]

Pass 1:
  Compare 18 and -65
  Swap 18 and -65
  List after swap: [-65, 18, -25]
  Compare 18 and -25
  Swap 18 and -25
  List after swap: [-65, -25, 18]

Pass 2:
  Compare -65 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -25, 18]
</think>

<response>-65, -25, 18</response>


input: Carry out the bubble sort algorithm on -90, 49 to arrange them from smallest to largest, documenting each step.

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

Pass 1:
  Compare -90 and 49
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-90, 49</response>


input: Execute bubble sort to sort 12, 95, -65, -10 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [12, 95, -65, -10]

Pass 1:
  Compare 12 and 95
  No swap needed
  Compare 95 and -65
  Swap 95 and -65
  List after swap: [12, -65, 95, -10]
  Compare 95 and -10
  Swap 95 and -10
  List after swap: [12, -65, -10, 95]

Pass 2:
  Compare 12 and -65
  Swap 12 and -65
  List after swap: [-65, 12, -10, 95]
  Compare 12 and -10
  Swap 12 and -10
  List after swap: [-65, -10, 12, 95]

Pass 3:
  Compare -65 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -10, 12, 95]
</think>

<response>-65, -10, 12, 95</response>


input: Execute bubble sort to sort -74, 65, 64, -64, -58, -43, -73, -7 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-74, 65, 64, -64, -58, -43, -73, -7]

Pass 1:
  Compare -74 and 65
  No swap needed
  Compare 65 and 64
  Swap 65 and 64
  List after swap: [-74, 64, 65, -64, -58, -43, -73, -7]
  Compare 65 and -64
  Swap 65 and -64
  List after swap: [-74, 64, -64, 65, -58, -43, -73, -7]
  Compare 65 and -58
  Swap 65 and -58
  List after swap: [-74, 64, -64, -58, 65, -43, -73, -7]
  Compare 65 and -43
  Swap 65 and -43
  List after swap: [-74, 64, -64, -58, -43, 65, -73, -7]
  Compare 65 and -73
  Swap 65 and -73
  List after swap: [-74, 64, -64, -58, -43, -73, 65, -7]
  Compare 65 and -7
  Swap 65 and -7
  List after swap: [-74, 64, -64, -58, -43, -73, -7, 65]

Pass 2:
  Compare -74 and 64
  No swap needed
  Compare 64 and -64
  Swap 64 and -64
  List after swap: [-74, -64, 64, -58, -43, -73, -7, 65]
  Compare 64 and -58
  Swap 64 and -58
  List after swap: [-74, -64, -58, 64, -43, -73, -7, 65]
  Compare 64 and -43
  Swap 64 and -43
  List after swap: [-74, -64, -58, -43, 64, -73, -7, 65]
  Compare 64 and -73
  Swap 64 and -73
  List after swap: [-74, -64, -58, -43, -73, 64, -7, 65]
  Compare 64 and -7
  Swap 64 and -7
  List after swap: [-74, -64, -58, -43, -73, -7, 64, 65]

Pass 3:
  Compare -74 and -64
  No swap needed
  Compare -64 and -58
  No swap needed
  Compare -58 and -43
  No swap needed
  Compare -43 and -73
  Swap -43 and -73
  List after swap: [-74, -64, -58, -73, -43, -7, 64, 65]
  Compare -43 and -7
  No swap needed

Pass 4:
  Compare -74 and -64
  No swap needed
  Compare -64 and -58
  No swap needed
  Compare -58 and -73
  Swap -58 and -73
  List after swap: [-74, -64, -73, -58, -43, -7, 64, 65]
  Compare -58 and -43
  No swap needed

Pass 5:
  Compare -74 and -64
  No swap needed
  Compare -64 and -73
  Swap -64 and -73
  List after swap: [-74, -73, -64, -58, -43, -7, 64, 65]
  Compare -64 and -58
  No swap needed

Pass 6:
  Compare -74 and -73
  No swap needed
  Compare -73 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -73, -64, -58, -43, -7, 64, 65]
</think>

<response>-74, -73, -64, -58, -43, -7, 64, 65</response>


input: Execute bubble sort to sort -22, -73, 7, 86, 1, -74, 26 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-22, -73, 7, 86, 1, -74, 26]

Pass 1:
  Compare -22 and -73
  Swap -22 and -73
  List after swap: [-73, -22, 7, 86, 1, -74, 26]
  Compare -22 and 7
  No swap needed
  Compare 7 and 86
  No swap needed
  Compare 86 and 1
  Swap 86 and 1
  List after swap: [-73, -22, 7, 1, 86, -74, 26]
  Compare 86 and -74
  Swap 86 and -74
  List after swap: [-73, -22, 7, 1, -74, 86, 26]
  Compare 86 and 26
  Swap 86 and 26
  List after swap: [-73, -22, 7, 1, -74, 26, 86]

Pass 2:
  Compare -73 and -22
  No swap needed
  Compare -22 and 7
  No swap needed
  Compare 7 and 1
  Swap 7 and 1
  List after swap: [-73, -22, 1, 7, -74, 26, 86]
  Compare 7 and -74
  Swap 7 and -74
  List after swap: [-73, -22, 1, -74, 7, 26, 86]
  Compare 7 and 26
  No swap needed

Pass 3:
  Compare -73 and -22
  No swap needed
  Compare -22 and 1
  No swap needed
  Compare 1 and -74
  Swap 1 and -74
  List after swap: [-73, -22, -74, 1, 7, 26, 86]
  Compare 1 and 7
  No swap needed

Pass 4:
  Compare -73 and -22
  No swap needed
  Compare -22 and -74
  Swap -22 and -74
  List after swap: [-73, -74, -22, 1, 7, 26, 86]
  Compare -22 and 1
  No swap needed

Pass 5:
  Compare -73 and -74
  Swap -73 and -74
  List after swap: [-74, -73, -22, 1, 7, 26, 86]
  Compare -73 and -22
  No swap needed

Pass 6:
  Compare -74 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -73, -22, 1, 7, 26, 86]
</think>

<response>-74, -73, -22, 1, 7, 26, 86</response>


input: Implement bubble sort on -27, 44, -36, -31, -41, -88 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-27, 44, -36, -31, -41, -88]

Pass 1:
  Compare -27 and 44
  No swap needed
  Compare 44 and -36
  Swap 44 and -36
  List after swap: [-27, -36, 44, -31, -41, -88]
  Compare 44 and -31
  Swap 44 and -31
  List after swap: [-27, -36, -31, 44, -41, -88]
  Compare 44 and -41
  Swap 44 and -41
  List after swap: [-27, -36, -31, -41, 44, -88]
  Compare 44 and -88
  Swap 44 and -88
  List after swap: [-27, -36, -31, -41, -88, 44]

Pass 2:
  Compare -27 and -36
  Swap -27 and -36
  List after swap: [-36, -27, -31, -41, -88, 44]
  Compare -27 and -31
  Swap -27 and -31
  List after swap: [-36, -31, -27, -41, -88, 44]
  Compare -27 and -41
  Swap -27 and -41
  List after swap: [-36, -31, -41, -27, -88, 44]
  Compare -27 and -88
  Swap -27 and -88
  List after swap: [-36, -31, -41, -88, -27, 44]

Pass 3:
  Compare -36 and -31
  No swap needed
  Compare -31 and -41
  Swap -31 and -41
  List after swap: [-36, -41, -31, -88, -27, 44]
  Compare -31 and -88
  Swap -31 and -88
  List after swap: [-36, -41, -88, -31, -27, 44]

Pass 4:
  Compare -36 and -41
  Swap -36 and -41
  List after swap: [-41, -36, -88, -31, -27, 44]
  Compare -36 and -88
  Swap -36 and -88
  List after swap: [-41, -88, -36, -31, -27, 44]

Pass 5:
  Compare -41 and -88
  Swap -41 and -88
  List after swap: [-88, -41, -36, -31, -27, 44]

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

Final sorted list: [-88, -41, -36, -31, -27, 44]
</think>

<response>-88, -41, -36, -31, -27, 44</response>


input: Execute bubble sort to sort 97, 83, -45, -73, -32, -66 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [97, 83, -45, -73, -32, -66]

Pass 1:
  Compare 97 and 83
  Swap 97 and 83
  List after swap: [83, 97, -45, -73, -32, -66]
  Compare 97 and -45
  Swap 97 and -45
  List after swap: [83, -45, 97, -73, -32, -66]
  Compare 97 and -73
  Swap 97 and -73
  List after swap: [83, -45, -73, 97, -32, -66]
  Compare 97 and -32
  Swap 97 and -32
  List after swap: [83, -45, -73, -32, 97, -66]
  Compare 97 and -66
  Swap 97 and -66
  List after swap: [83, -45, -73, -32, -66, 97]

Pass 2:
  Compare 83 and -45
  Swap 83 and -45
  List after swap: [-45, 83, -73, -32, -66, 97]
  Compare 83 and -73
  Swap 83 and -73
  List after swap: [-45, -73, 83, -32, -66, 97]
  Compare 83 and -32
  Swap 83 and -32
  List after swap: [-45, -73, -32, 83, -66, 97]
  Compare 83 and -66
  Swap 83 and -66
  List after swap: [-45, -73, -32, -66, 83, 97]

Pass 3:
  Compare -45 and -73
  Swap -45 and -73
  List after swap: [-73, -45, -32, -66, 83, 97]
  Compare -45 and -32
  No swap needed
  Compare -32 and -66
  Swap -32 and -66
  List after swap: [-73, -45, -66, -32, 83, 97]

Pass 4:
  Compare -73 and -45
  No swap needed
  Compare -45 and -66
  Swap -45 and -66
  List after swap: [-73, -66, -45, -32, 83, 97]

Pass 5:
  Compare -73 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -66, -45, -32, 83, 97]
</think>

<response>-73, -66, -45, -32, 83, 97</response>


input: Execute bubble sort to sort -76, -97, 62, -49, -86, 73, 48 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-76, -97, 62, -49, -86, 73, 48]

Pass 1:
  Compare -76 and -97
  Swap -76 and -97
  List after swap: [-97, -76, 62, -49, -86, 73, 48]
  Compare -76 and 62
  No swap needed
  Compare 62 and -49
  Swap 62 and -49
  List after swap: [-97, -76, -49, 62, -86, 73, 48]
  Compare 62 and -86
  Swap 62 and -86
  List after swap: [-97, -76, -49, -86, 62, 73, 48]
  Compare 62 and 73
  No swap needed
  Compare 73 and 48
  Swap 73 and 48
  List after swap: [-97, -76, -49, -86, 62, 48, 73]

Pass 2:
  Compare -97 and -76
  No swap needed
  Compare -76 and -49
  No swap needed
  Compare -49 and -86
  Swap -49 and -86
  List after swap: [-97, -76, -86, -49, 62, 48, 73]
  Compare -49 and 62
  No swap needed
  Compare 62 and 48
  Swap 62 and 48
  List after swap: [-97, -76, -86, -49, 48, 62, 73]

Pass 3:
  Compare -97 and -76
  No swap needed
  Compare -76 and -86
  Swap -76 and -86
  List after swap: [-97, -86, -76, -49, 48, 62, 73]
  Compare -76 and -49
  No swap needed
  Compare -49 and 48
  No swap needed

Pass 4:
  Compare -97 and -86
  No swap needed
  Compare -86 and -76
  No swap needed
  Compare -76 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -86, -76, -49, 48, 62, 73]
</think>

<response>-97, -86, -76, -49, 48, 62, 73</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 4, -45, -36, 22, 56, -63, 20, -25, -31, -85.

output:
<think>
Initial list: [4, -45, -36, 22, 56, -63, 20, -25, -31, -85]

Pass 1:
  Compare 4 and -45
  Swap 4 and -45
  List after swap: [-45, 4, -36, 22, 56, -63, 20, -25, -31, -85]
  Compare 4 and -36
  Swap 4 and -36
  List after swap: [-45, -36, 4, 22, 56, -63, 20, -25, -31, -85]
  Compare 4 and 22
  No swap needed
  Compare 22 and 56
  No swap needed
  Compare 56 and -63
  Swap 56 and -63
  List after swap: [-45, -36, 4, 22, -63, 56, 20, -25, -31, -85]
  Compare 56 and 20
  Swap 56 and 20
  List after swap: [-45, -36, 4, 22, -63, 20, 56, -25, -31, -85]
  Compare 56 and -25
  Swap 56 and -25
  List after swap: [-45, -36, 4, 22, -63, 20, -25, 56, -31, -85]
  Compare 56 and -31
  Swap 56 and -31
  List after swap: [-45, -36, 4, 22, -63, 20, -25, -31, 56, -85]
  Compare 56 and -85
  Swap 56 and -85
  List after swap: [-45, -36, 4, 22, -63, 20, -25, -31, -85, 56]

Pass 2:
  Compare -45 and -36
  No swap needed
  Compare -36 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and -63
  Swap 22 and -63
  List after swap: [-45, -36, 4, -63, 22, 20, -25, -31, -85, 56]
  Compare 22 and 20
  Swap 22 and 20
  List after swap: [-45, -36, 4, -63, 20, 22, -25, -31, -85, 56]
  Compare 22 and -25
  Swap 22 and -25
  List after swap: [-45, -36, 4, -63, 20, -25, 22, -31, -85, 56]
  Compare 22 and -31
  Swap 22 and -31
  List after swap: [-45, -36, 4, -63, 20, -25, -31, 22, -85, 56]
  Compare 22 and -85
  Swap 22 and -85
  List after swap: [-45, -36, 4, -63, 20, -25, -31, -85, 22, 56]

Pass 3:
  Compare -45 and -36
  No swap needed
  Compare -36 and 4
  No swap needed
  Compare 4 and -63
  Swap 4 and -63
  List after swap: [-45, -36, -63, 4, 20, -25, -31, -85, 22, 56]
  Compare 4 and 20
  No swap needed
  Compare 20 and -25
  Swap 20 and -25
  List after swap: [-45, -36, -63, 4, -25, 20, -31, -85, 22, 56]
  Compare 20 and -31
  Swap 20 and -31
  List after swap: [-45, -36, -63, 4, -25, -31, 20, -85, 22, 56]
  Compare 20 and -85
  Swap 20 and -85
  List after swap: [-45, -36, -63, 4, -25, -31, -85, 20, 22, 56]

Pass 4:
  Compare -45 and -36
  No swap needed
  Compare -36 and -63
  Swap -36 and -63
  List after swap: [-45, -63, -36, 4, -25, -31, -85, 20, 22, 56]
  Compare -36 and 4
  No swap needed
  Compare 4 and -25
  Swap 4 and -25
  List after swap: [-45, -63, -36, -25, 4, -31, -85, 20, 22, 56]
  Compare 4 and -31
  Swap 4 and -31
  List after swap: [-45, -63, -36, -25, -31, 4, -85, 20, 22, 56]
  Compare 4 and -85
  Swap 4 and -85
  List after swap: [-45, -63, -36, -25, -31, -85, 4, 20, 22, 56]

Pass 5:
  Compare -45 and -63
  Swap -45 and -63
  List after swap: [-63, -45, -36, -25, -31, -85, 4, 20, 22, 56]
  Compare -45 and -36
  No swap needed
  Compare -36 and -25
  No swap needed
  Compare -25 and -31
  Swap -25 and -31
  List after swap: [-63, -45, -36, -31, -25, -85, 4, 20, 22, 56]
  Compare -25 and -85
  Swap -25 and -85
  List after swap: [-63, -45, -36, -31, -85, -25, 4, 20, 22, 56]

Pass 6:
  Compare -63 and -45
  No swap needed
  Compare -45 and -36
  No swap needed
  Compare -36 and -31
  No swap needed
  Compare -31 and -85
  Swap -31 and -85
  List after swap: [-63, -45, -36, -85, -31, -25, 4, 20, 22, 56]

Pass 7:
  Compare -63 and -45
  No swap needed
  Compare -45 and -36
  No swap needed
  Compare -36 and -85
  Swap -36 and -85
  List after swap: [-63, -45, -85, -36, -31, -25, 4, 20, 22, 56]

Pass 8:
  Compare -63 and -45
  No swap needed
  Compare -45 and -85
  Swap -45 and -85
  List after swap: [-63, -85, -45, -36, -31, -25, 4, 20, 22, 56]

Pass 9:
  Compare -63 and -85
  Swap -63 and -85
  List after swap: [-85, -63, -45, -36, -31, -25, 4, 20, 22, 56]

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

Final sorted list: [-85, -63, -45, -36, -31, -25, 4, 20, 22, 56]
</think>

<response>-85, -63, -45, -36, -31, -25, 4, 20, 22, 56</response>


input: Execute bubble sort to sort 92, -51, -52, -26 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [92, -51, -52, -26]

Pass 1:
  Compare 92 and -51
  Swap 92 and -51
  List after swap: [-51, 92, -52, -26]
  Compare 92 and -52
  Swap 92 and -52
  List after swap: [-51, -52, 92, -26]
  Compare 92 and -26
  Swap 92 and -26
  List after swap: [-51, -52, -26, 92]

Pass 2:
  Compare -51 and -52
  Swap -51 and -52
  List after swap: [-52, -51, -26, 92]
  Compare -51 and -26
  No swap needed

Pass 3:
  Compare -52 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -51, -26, 92]
</think>

<response>-52, -51, -26, 92</response>


input: Perform a bubble sort on the integers -21, 81, -66, 70, -39, 68, 55, -31, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-21, 81, -66, 70, -39, 68, 55, -31]

Pass 1:
  Compare -21 and 81
  No swap needed
  Compare 81 and -66
  Swap 81 and -66
  List after swap: [-21, -66, 81, 70, -39, 68, 55, -31]
  Compare 81 and 70
  Swap 81 and 70
  List after swap: [-21, -66, 70, 81, -39, 68, 55, -31]
  Compare 81 and -39
  Swap 81 and -39
  List after swap: [-21, -66, 70, -39, 81, 68, 55, -31]
  Compare 81 and 68
  Swap 81 and 68
  List after swap: [-21, -66, 70, -39, 68, 81, 55, -31]
  Compare 81 and 55
  Swap 81 and 55
  List after swap: [-21, -66, 70, -39, 68, 55, 81, -31]
  Compare 81 and -31
  Swap 81 and -31
  List after swap: [-21, -66, 70, -39, 68, 55, -31, 81]

Pass 2:
  Compare -21 and -66
  Swap -21 and -66
  List after swap: [-66, -21, 70, -39, 68, 55, -31, 81]
  Compare -21 and 70
  No swap needed
  Compare 70 and -39
  Swap 70 and -39
  List after swap: [-66, -21, -39, 70, 68, 55, -31, 81]
  Compare 70 and 68
  Swap 70 and 68
  List after swap: [-66, -21, -39, 68, 70, 55, -31, 81]
  Compare 70 and 55
  Swap 70 and 55
  List after swap: [-66, -21, -39, 68, 55, 70, -31, 81]
  Compare 70 and -31
  Swap 70 and -31
  List after swap: [-66, -21, -39, 68, 55, -31, 70, 81]

Pass 3:
  Compare -66 and -21
  No swap needed
  Compare -21 and -39
  Swap -21 and -39
  List after swap: [-66, -39, -21, 68, 55, -31, 70, 81]
  Compare -21 and 68
  No swap needed
  Compare 68 and 55
  Swap 68 and 55
  List after swap: [-66, -39, -21, 55, 68, -31, 70, 81]
  Compare 68 and -31
  Swap 68 and -31
  List after swap: [-66, -39, -21, 55, -31, 68, 70, 81]

Pass 4:
  Compare -66 and -39
  No swap needed
  Compare -39 and -21
  No swap needed
  Compare -21 and 55
  No swap needed
  Compare 55 and -31
  Swap 55 and -31
  List after swap: [-66, -39, -21, -31, 55, 68, 70, 81]

Pass 5:
  Compare -66 and -39
  No swap needed
  Compare -39 and -21
  No swap needed
  Compare -21 and -31
  Swap -21 and -31
  List after swap: [-66, -39, -31, -21, 55, 68, 70, 81]

Pass 6:
  Compare -66 and -39
  No swap needed
  Compare -39 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -39, -31, -21, 55, 68, 70, 81]
</think>

<response>-66, -39, -31, -21, 55, 68, 70, 81</response>


input: Sort these integers -39, 2, 95, 20, -37, -72, 15, -36 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-39, 2, 95, 20, -37, -72, 15, -36]

Pass 1:
  Compare -39 and 2
  No swap needed
  Compare 2 and 95
  No swap needed
  Compare 95 and 20
  Swap 95 and 20
  List after swap: [-39, 2, 20, 95, -37, -72, 15, -36]
  Compare 95 and -37
  Swap 95 and -37
  List after swap: [-39, 2, 20, -37, 95, -72, 15, -36]
  Compare 95 and -72
  Swap 95 and -72
  List after swap: [-39, 2, 20, -37, -72, 95, 15, -36]
  Compare 95 and 15
  Swap 95 and 15
  List after swap: [-39, 2, 20, -37, -72, 15, 95, -36]
  Compare 95 and -36
  Swap 95 and -36
  List after swap: [-39, 2, 20, -37, -72, 15, -36, 95]

Pass 2:
  Compare -39 and 2
  No swap needed
  Compare 2 and 20
  No swap needed
  Compare 20 and -37
  Swap 20 and -37
  List after swap: [-39, 2, -37, 20, -72, 15, -36, 95]
  Compare 20 and -72
  Swap 20 and -72
  List after swap: [-39, 2, -37, -72, 20, 15, -36, 95]
  Compare 20 and 15
  Swap 20 and 15
  List after swap: [-39, 2, -37, -72, 15, 20, -36, 95]
  Compare 20 and -36
  Swap 20 and -36
  List after swap: [-39, 2, -37, -72, 15, -36, 20, 95]

Pass 3:
  Compare -39 and 2
  No swap needed
  Compare 2 and -37
  Swap 2 and -37
  List after swap: [-39, -37, 2, -72, 15, -36, 20, 95]
  Compare 2 and -72
  Swap 2 and -72
  List after swap: [-39, -37, -72, 2, 15, -36, 20, 95]
  Compare 2 and 15
  No swap needed
  Compare 15 and -36
  Swap 15 and -36
  List after swap: [-39, -37, -72, 2, -36, 15, 20, 95]

Pass 4:
  Compare -39 and -37
  No swap needed
  Compare -37 and -72
  Swap -37 and -72
  List after swap: [-39, -72, -37, 2, -36, 15, 20, 95]
  Compare -37 and 2
  No swap needed
  Compare 2 and -36
  Swap 2 and -36
  List after swap: [-39, -72, -37, -36, 2, 15, 20, 95]

Pass 5:
  Compare -39 and -72
  Swap -39 and -72
  List after swap: [-72, -39, -37, -36, 2, 15, 20, 95]
  Compare -39 and -37
  No swap needed
  Compare -37 and -36
  No swap needed

Pass 6:
  Compare -72 and -39
  No swap needed
  Compare -39 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -39, -37, -36, 2, 15, 20, 95]
</think>

<response>-72, -39, -37, -36, 2, 15, 20, 95</response>


input: Sort these integers -7, 9, 91, -98 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-7, 9, 91, -98]

Pass 1:
  Compare -7 and 9
  No swap needed
  Compare 9 and 91
  No swap needed
  Compare 91 and -98
  Swap 91 and -98
  List after swap: [-7, 9, -98, 91]

Pass 2:
  Compare -7 and 9
  No swap needed
  Compare 9 and -98
  Swap 9 and -98
  List after swap: [-7, -98, 9, 91]

Pass 3:
  Compare -7 and -98
  Swap -7 and -98
  List after swap: [-98, -7, 9, 91]

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

Final sorted list: [-98, -7, 9, 91]
</think>

<response>-98, -7, 9, 91</response>


input: Arrange the numbers -64, -91, 71, 18, -72, -98 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-64, -91, 71, 18, -72, -98]

Pass 1:
  Compare -64 and -91
  Swap -64 and -91
  List after swap: [-91, -64, 71, 18, -72, -98]
  Compare -64 and 71
  No swap needed
  Compare 71 and 18
  Swap 71 and 18
  List after swap: [-91, -64, 18, 71, -72, -98]
  Compare 71 and -72
  Swap 71 and -72
  List after swap: [-91, -64, 18, -72, 71, -98]
  Compare 71 and -98
  Swap 71 and -98
  List after swap: [-91, -64, 18, -72, -98, 71]

Pass 2:
  Compare -91 and -64
  No swap needed
  Compare -64 and 18
  No swap needed
  Compare 18 and -72
  Swap 18 and -72
  List after swap: [-91, -64, -72, 18, -98, 71]
  Compare 18 and -98
  Swap 18 and -98
  List after swap: [-91, -64, -72, -98, 18, 71]

Pass 3:
  Compare -91 and -64
  No swap needed
  Compare -64 and -72
  Swap -64 and -72
  List after swap: [-91, -72, -64, -98, 18, 71]
  Compare -64 and -98
  Swap -64 and -98
  List after swap: [-91, -72, -98, -64, 18, 71]

Pass 4:
  Compare -91 and -72
  No swap needed
  Compare -72 and -98
  Swap -72 and -98
  List after swap: [-91, -98, -72, -64, 18, 71]

Pass 5:
  Compare -91 and -98
  Swap -91 and -98
  List after swap: [-98, -91, -72, -64, 18, 71]

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

Final sorted list: [-98, -91, -72, -64, 18, 71]
</think>

<response>-98, -91, -72, -64, 18, 71</response>


input: Arrange the numbers 33, -5, -74, 65 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [33, -5, -74, 65]

Pass 1:
  Compare 33 and -5
  Swap 33 and -5
  List after swap: [-5, 33, -74, 65]
  Compare 33 and -74
  Swap 33 and -74
  List after swap: [-5, -74, 33, 65]
  Compare 33 and 65
  No swap needed

Pass 2:
  Compare -5 and -74
  Swap -5 and -74
  List after swap: [-74, -5, 33, 65]
  Compare -5 and 33
  No swap needed

Pass 3:
  Compare -74 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -5, 33, 65]
</think>

<response>-74, -5, 33, 65</response>


input: Use the bubble sort technique to reorder 49, 57, -39, -83, 30 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [49, 57, -39, -83, 30]

Pass 1:
  Compare 49 and 57
  No swap needed
  Compare 57 and -39
  Swap 57 and -39
  List after swap: [49, -39, 57, -83, 30]
  Compare 57 and -83
  Swap 57 and -83
  List after swap: [49, -39, -83, 57, 30]
  Compare 57 and 30
  Swap 57 and 30
  List after swap: [49, -39, -83, 30, 57]

Pass 2:
  Compare 49 and -39
  Swap 49 and -39
  List after swap: [-39, 49, -83, 30, 57]
  Compare 49 and -83
  Swap 49 and -83
  List after swap: [-39, -83, 49, 30, 57]
  Compare 49 and 30
  Swap 49 and 30
  List after swap: [-39, -83, 30, 49, 57]

Pass 3:
  Compare -39 and -83
  Swap -39 and -83
  List after swap: [-83, -39, 30, 49, 57]
  Compare -39 and 30
  No swap needed

Pass 4:
  Compare -83 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -39, 30, 49, 57]
</think>

<response>-83, -39, 30, 49, 57</response>


input: Arrange the numbers -62, 5, -53, -49, 22 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-62, 5, -53, -49, 22]

Pass 1:
  Compare -62 and 5
  No swap needed
  Compare 5 and -53
  Swap 5 and -53
  List after swap: [-62, -53, 5, -49, 22]
  Compare 5 and -49
  Swap 5 and -49
  List after swap: [-62, -53, -49, 5, 22]
  Compare 5 and 22
  No swap needed

Pass 2:
  Compare -62 and -53
  No swap needed
  Compare -53 and -49
  No swap needed
  Compare -49 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -53, -49, 5, 22]
</think>

<response>-62, -53, -49, 5, 22</response>


input: Implement bubble sort on -63, 71, 97, -73, -47, 36 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-63, 71, 97, -73, -47, 36]

Pass 1:
  Compare -63 and 71
  No swap needed
  Compare 71 and 97
  No swap needed
  Compare 97 and -73
  Swap 97 and -73
  List after swap: [-63, 71, -73, 97, -47, 36]
  Compare 97 and -47
  Swap 97 and -47
  List after swap: [-63, 71, -73, -47, 97, 36]
  Compare 97 and 36
  Swap 97 and 36
  List after swap: [-63, 71, -73, -47, 36, 97]

Pass 2:
  Compare -63 and 71
  No swap needed
  Compare 71 and -73
  Swap 71 and -73
  List after swap: [-63, -73, 71, -47, 36, 97]
  Compare 71 and -47
  Swap 71 and -47
  List after swap: [-63, -73, -47, 71, 36, 97]
  Compare 71 and 36
  Swap 71 and 36
  List after swap: [-63, -73, -47, 36, 71, 97]

Pass 3:
  Compare -63 and -73
  Swap -63 and -73
  List after swap: [-73, -63, -47, 36, 71, 97]
  Compare -63 and -47
  No swap needed
  Compare -47 and 36
  No swap needed

Pass 4:
  Compare -73 and -63
  No swap needed
  Compare -63 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -63, -47, 36, 71, 97]
</think>

<response>-73, -63, -47, 36, 71, 97</response>


input: Execute bubble sort to sort -67, 43, 74, -49 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-67, 43, 74, -49]

Pass 1:
  Compare -67 and 43
  No swap needed
  Compare 43 and 74
  No swap needed
  Compare 74 and -49
  Swap 74 and -49
  List after swap: [-67, 43, -49, 74]

Pass 2:
  Compare -67 and 43
  No swap needed
  Compare 43 and -49
  Swap 43 and -49
  List after swap: [-67, -49, 43, 74]

Pass 3:
  Compare -67 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -49, 43, 74]
</think>

<response>-67, -49, 43, 74</response>


input: Execute bubble sort to sort 18, 57, 17, 88, 68, -74, 2, 61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [18, 57, 17, 88, 68, -74, 2, 61]

Pass 1:
  Compare 18 and 57
  No swap needed
  Compare 57 and 17
  Swap 57 and 17
  List after swap: [18, 17, 57, 88, 68, -74, 2, 61]
  Compare 57 and 88
  No swap needed
  Compare 88 and 68
  Swap 88 and 68
  List after swap: [18, 17, 57, 68, 88, -74, 2, 61]
  Compare 88 and -74
  Swap 88 and -74
  List after swap: [18, 17, 57, 68, -74, 88, 2, 61]
  Compare 88 and 2
  Swap 88 and 2
  List after swap: [18, 17, 57, 68, -74, 2, 88, 61]
  Compare 88 and 61
  Swap 88 and 61
  List after swap: [18, 17, 57, 68, -74, 2, 61, 88]

Pass 2:
  Compare 18 and 17
  Swap 18 and 17
  List after swap: [17, 18, 57, 68, -74, 2, 61, 88]
  Compare 18 and 57
  No swap needed
  Compare 57 and 68
  No swap needed
  Compare 68 and -74
  Swap 68 and -74
  List after swap: [17, 18, 57, -74, 68, 2, 61, 88]
  Compare 68 and 2
  Swap 68 and 2
  List after swap: [17, 18, 57, -74, 2, 68, 61, 88]
  Compare 68 and 61
  Swap 68 and 61
  List after swap: [17, 18, 57, -74, 2, 61, 68, 88]

Pass 3:
  Compare 17 and 18
  No swap needed
  Compare 18 and 57
  No swap needed
  Compare 57 and -74
  Swap 57 and -74
  List after swap: [17, 18, -74, 57, 2, 61, 68, 88]
  Compare 57 and 2
  Swap 57 and 2
  List after swap: [17, 18, -74, 2, 57, 61, 68, 88]
  Compare 57 and 61
  No swap needed

Pass 4:
  Compare 17 and 18
  No swap needed
  Compare 18 and -74
  Swap 18 and -74
  List after swap: [17, -74, 18, 2, 57, 61, 68, 88]
  Compare 18 and 2
  Swap 18 and 2
  List after swap: [17, -74, 2, 18, 57, 61, 68, 88]
  Compare 18 and 57
  No swap needed

Pass 5:
  Compare 17 and -74
  Swap 17 and -74
  List after swap: [-74, 17, 2, 18, 57, 61, 68, 88]
  Compare 17 and 2
  Swap 17 and 2
  List after swap: [-74, 2, 17, 18, 57, 61, 68, 88]
  Compare 17 and 18
  No swap needed

Pass 6:
  Compare -74 and 2
  No swap needed
  Compare 2 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, 2, 17, 18, 57, 61, 68, 88]
</think>

<response>-74, 2, 17, 18, 57, 61, 68, 88</response>


input: Sort these integers 37, -35 in ascending order with bubble sort, clearly listing every step involved.

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

Pass 1:
  Compare 37 and -35
  Swap 37 and -35
  List after swap: [-35, 37]

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

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

<response>-35, 37</response>


input: Implement bubble sort on 41, 78, 83, -5, -76, -34 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [41, 78, 83, -5, -76, -34]

Pass 1:
  Compare 41 and 78
  No swap needed
  Compare 78 and 83
  No swap needed
  Compare 83 and -5
  Swap 83 and -5
  List after swap: [41, 78, -5, 83, -76, -34]
  Compare 83 and -76
  Swap 83 and -76
  List after swap: [41, 78, -5, -76, 83, -34]
  Compare 83 and -34
  Swap 83 and -34
  List after swap: [41, 78, -5, -76, -34, 83]

Pass 2:
  Compare 41 and 78
  No swap needed
  Compare 78 and -5
  Swap 78 and -5
  List after swap: [41, -5, 78, -76, -34, 83]
  Compare 78 and -76
  Swap 78 and -76
  List after swap: [41, -5, -76, 78, -34, 83]
  Compare 78 and -34
  Swap 78 and -34
  List after swap: [41, -5, -76, -34, 78, 83]

Pass 3:
  Compare 41 and -5
  Swap 41 and -5
  List after swap: [-5, 41, -76, -34, 78, 83]
  Compare 41 and -76
  Swap 41 and -76
  List after swap: [-5, -76, 41, -34, 78, 83]
  Compare 41 and -34
  Swap 41 and -34
  List after swap: [-5, -76, -34, 41, 78, 83]

Pass 4:
  Compare -5 and -76
  Swap -5 and -76
  List after swap: [-76, -5, -34, 41, 78, 83]
  Compare -5 and -34
  Swap -5 and -34
  List after swap: [-76, -34, -5, 41, 78, 83]

Pass 5:
  Compare -76 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -34, -5, 41, 78, 83]
</think>

<response>-76, -34, -5, 41, 78, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 67, 52, -87, 81, -3, 5, -32, -25.

output:
<think>
Initial list: [67, 52, -87, 81, -3, 5, -32, -25]

Pass 1:
  Compare 67 and 52
  Swap 67 and 52
  List after swap: [52, 67, -87, 81, -3, 5, -32, -25]
  Compare 67 and -87
  Swap 67 and -87
  List after swap: [52, -87, 67, 81, -3, 5, -32, -25]
  Compare 67 and 81
  No swap needed
  Compare 81 and -3
  Swap 81 and -3
  List after swap: [52, -87, 67, -3, 81, 5, -32, -25]
  Compare 81 and 5
  Swap 81 and 5
  List after swap: [52, -87, 67, -3, 5, 81, -32, -25]
  Compare 81 and -32
  Swap 81 and -32
  List after swap: [52, -87, 67, -3, 5, -32, 81, -25]
  Compare 81 and -25
  Swap 81 and -25
  List after swap: [52, -87, 67, -3, 5, -32, -25, 81]

Pass 2:
  Compare 52 and -87
  Swap 52 and -87
  List after swap: [-87, 52, 67, -3, 5, -32, -25, 81]
  Compare 52 and 67
  No swap needed
  Compare 67 and -3
  Swap 67 and -3
  List after swap: [-87, 52, -3, 67, 5, -32, -25, 81]
  Compare 67 and 5
  Swap 67 and 5
  List after swap: [-87, 52, -3, 5, 67, -32, -25, 81]
  Compare 67 and -32
  Swap 67 and -32
  List after swap: [-87, 52, -3, 5, -32, 67, -25, 81]
  Compare 67 and -25
  Swap 67 and -25
  List after swap: [-87, 52, -3, 5, -32, -25, 67, 81]

Pass 3:
  Compare -87 and 52
  No swap needed
  Compare 52 and -3
  Swap 52 and -3
  List after swap: [-87, -3, 52, 5, -32, -25, 67, 81]
  Compare 52 and 5
  Swap 52 and 5
  List after swap: [-87, -3, 5, 52, -32, -25, 67, 81]
  Compare 52 and -32
  Swap 52 and -32
  List after swap: [-87, -3, 5, -32, 52, -25, 67, 81]
  Compare 52 and -25
  Swap 52 and -25
  List after swap: [-87, -3, 5, -32, -25, 52, 67, 81]

Pass 4:
  Compare -87 and -3
  No swap needed
  Compare -3 and 5
  No swap needed
  Compare 5 and -32
  Swap 5 and -32
  List after swap: [-87, -3, -32, 5, -25, 52, 67, 81]
  Compare 5 and -25
  Swap 5 and -25
  List after swap: [-87, -3, -32, -25, 5, 52, 67, 81]

Pass 5:
  Compare -87 and -3
  No swap needed
  Compare -3 and -32
  Swap -3 and -32
  List after swap: [-87, -32, -3, -25, 5, 52, 67, 81]
  Compare -3 and -25
  Swap -3 and -25
  List after swap: [-87, -32, -25, -3, 5, 52, 67, 81]

Pass 6:
  Compare -87 and -32
  No swap needed
  Compare -32 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -32, -25, -3, 5, 52, 67, 81]
</think>

<response>-87, -32, -25, -3, 5, 52, 67, 81</response>


input: Arrange the numbers -82, 5, -1, 37, 14, -52, -76, 55, -59 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-82, 5, -1, 37, 14, -52, -76, 55, -59]

Pass 1:
  Compare -82 and 5
  No swap needed
  Compare 5 and -1
  Swap 5 and -1
  List after swap: [-82, -1, 5, 37, 14, -52, -76, 55, -59]
  Compare 5 and 37
  No swap needed
  Compare 37 and 14
  Swap 37 and 14
  List after swap: [-82, -1, 5, 14, 37, -52, -76, 55, -59]
  Compare 37 and -52
  Swap 37 and -52
  List after swap: [-82, -1, 5, 14, -52, 37, -76, 55, -59]
  Compare 37 and -76
  Swap 37 and -76
  List after swap: [-82, -1, 5, 14, -52, -76, 37, 55, -59]
  Compare 37 and 55
  No swap needed
  Compare 55 and -59
  Swap 55 and -59
  List after swap: [-82, -1, 5, 14, -52, -76, 37, -59, 55]

Pass 2:
  Compare -82 and -1
  No swap needed
  Compare -1 and 5
  No swap needed
  Compare 5 and 14
  No swap needed
  Compare 14 and -52
  Swap 14 and -52
  List after swap: [-82, -1, 5, -52, 14, -76, 37, -59, 55]
  Compare 14 and -76
  Swap 14 and -76
  List after swap: [-82, -1, 5, -52, -76, 14, 37, -59, 55]
  Compare 14 and 37
  No swap needed
  Compare 37 and -59
  Swap 37 and -59
  List after swap: [-82, -1, 5, -52, -76, 14, -59, 37, 55]

Pass 3:
  Compare -82 and -1
  No swap needed
  Compare -1 and 5
  No swap needed
  Compare 5 and -52
  Swap 5 and -52
  List after swap: [-82, -1, -52, 5, -76, 14, -59, 37, 55]
  Compare 5 and -76
  Swap 5 and -76
  List after swap: [-82, -1, -52, -76, 5, 14, -59, 37, 55]
  Compare 5 and 14
  No swap needed
  Compare 14 and -59
  Swap 14 and -59
  List after swap: [-82, -1, -52, -76, 5, -59, 14, 37, 55]

Pass 4:
  Compare -82 and -1
  No swap needed
  Compare -1 and -52
  Swap -1 and -52
  List after swap: [-82, -52, -1, -76, 5, -59, 14, 37, 55]
  Compare -1 and -76
  Swap -1 and -76
  List after swap: [-82, -52, -76, -1, 5, -59, 14, 37, 55]
  Compare -1 and 5
  No swap needed
  Compare 5 and -59
  Swap 5 and -59
  List after swap: [-82, -52, -76, -1, -59, 5, 14, 37, 55]

Pass 5:
  Compare -82 and -52
  No swap needed
  Compare -52 and -76
  Swap -52 and -76
  List after swap: [-82, -76, -52, -1, -59, 5, 14, 37, 55]
  Compare -52 and -1
  No swap needed
  Compare -1 and -59
  Swap -1 and -59
  List after swap: [-82, -76, -52, -59, -1, 5, 14, 37, 55]

Pass 6:
  Compare -82 and -76
  No swap needed
  Compare -76 and -52
  No swap needed
  Compare -52 and -59
  Swap -52 and -59
  List after swap: [-82, -76, -59, -52, -1, 5, 14, 37, 55]

Pass 7:
  Compare -82 and -76
  No swap needed
  Compare -76 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -76, -59, -52, -1, 5, 14, 37, 55]
</think>

<response>-82, -76, -59, -52, -1, 5, 14, 37, 55</response>


input: Execute bubble sort to sort 1, -25, 27, -64, -85, 49, 15, 99 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [1, -25, 27, -64, -85, 49, 15, 99]

Pass 1:
  Compare 1 and -25
  Swap 1 and -25
  List after swap: [-25, 1, 27, -64, -85, 49, 15, 99]
  Compare 1 and 27
  No swap needed
  Compare 27 and -64
  Swap 27 and -64
  List after swap: [-25, 1, -64, 27, -85, 49, 15, 99]
  Compare 27 and -85
  Swap 27 and -85
  List after swap: [-25, 1, -64, -85, 27, 49, 15, 99]
  Compare 27 and 49
  No swap needed
  Compare 49 and 15
  Swap 49 and 15
  List after swap: [-25, 1, -64, -85, 27, 15, 49, 99]
  Compare 49 and 99
  No swap needed

Pass 2:
  Compare -25 and 1
  No swap needed
  Compare 1 and -64
  Swap 1 and -64
  List after swap: [-25, -64, 1, -85, 27, 15, 49, 99]
  Compare 1 and -85
  Swap 1 and -85
  List after swap: [-25, -64, -85, 1, 27, 15, 49, 99]
  Compare 1 and 27
  No swap needed
  Compare 27 and 15
  Swap 27 and 15
  List after swap: [-25, -64, -85, 1, 15, 27, 49, 99]
  Compare 27 and 49
  No swap needed

Pass 3:
  Compare -25 and -64
  Swap -25 and -64
  List after swap: [-64, -25, -85, 1, 15, 27, 49, 99]
  Compare -25 and -85
  Swap -25 and -85
  List after swap: [-64, -85, -25, 1, 15, 27, 49, 99]
  Compare -25 and 1
  No swap needed
  Compare 1 and 15
  No swap needed
  Compare 15 and 27
  No swap needed

Pass 4:
  Compare -64 and -85
  Swap -64 and -85
  List after swap: [-85, -64, -25, 1, 15, 27, 49, 99]
  Compare -64 and -25
  No swap needed
  Compare -25 and 1
  No swap needed
  Compare 1 and 15
  No swap needed

Pass 5:
  Compare -85 and -64
  No swap needed
  Compare -64 and -25
  No swap needed
  Compare -25 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -64, -25, 1, 15, 27, 49, 99]
</think>

<response>-85, -64, -25, 1, 15, 27, 49, 99</response>


input: Sort these integers 12, -57, 76, 8 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [12, -57, 76, 8]

Pass 1:
  Compare 12 and -57
  Swap 12 and -57
  List after swap: [-57, 12, 76, 8]
  Compare 12 and 76
  No swap needed
  Compare 76 and 8
  Swap 76 and 8
  List after swap: [-57, 12, 8, 76]

Pass 2:
  Compare -57 and 12
  No swap needed
  Compare 12 and 8
  Swap 12 and 8
  List after swap: [-57, 8, 12, 76]

Pass 3:
  Compare -57 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, 8, 12, 76]
</think>

<response>-57, 8, 12, 76</response>


input: Sort the list -10, -54, -87, -90, 10 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-10, -54, -87, -90, 10]

Pass 1:
  Compare -10 and -54
  Swap -10 and -54
  List after swap: [-54, -10, -87, -90, 10]
  Compare -10 and -87
  Swap -10 and -87
  List after swap: [-54, -87, -10, -90, 10]
  Compare -10 and -90
  Swap -10 and -90
  List after swap: [-54, -87, -90, -10, 10]
  Compare -10 and 10
  No swap needed

Pass 2:
  Compare -54 and -87
  Swap -54 and -87
  List after swap: [-87, -54, -90, -10, 10]
  Compare -54 and -90
  Swap -54 and -90
  List after swap: [-87, -90, -54, -10, 10]
  Compare -54 and -10
  No swap needed

Pass 3:
  Compare -87 and -90
  Swap -87 and -90
  List after swap: [-90, -87, -54, -10, 10]
  Compare -87 and -54
  No swap needed

Pass 4:
  Compare -90 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -87, -54, -10, 10]
</think>

<response>-90, -87, -54, -10, 10</response>


input: Using the bubble sort method, sort 5, -60, -2, 39, -49, -53 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [5, -60, -2, 39, -49, -53]

Pass 1:
  Compare 5 and -60
  Swap 5 and -60
  List after swap: [-60, 5, -2, 39, -49, -53]
  Compare 5 and -2
  Swap 5 and -2
  List after swap: [-60, -2, 5, 39, -49, -53]
  Compare 5 and 39
  No swap needed
  Compare 39 and -49
  Swap 39 and -49
  List after swap: [-60, -2, 5, -49, 39, -53]
  Compare 39 and -53
  Swap 39 and -53
  List after swap: [-60, -2, 5, -49, -53, 39]

Pass 2:
  Compare -60 and -2
  No swap needed
  Compare -2 and 5
  No swap needed
  Compare 5 and -49
  Swap 5 and -49
  List after swap: [-60, -2, -49, 5, -53, 39]
  Compare 5 and -53
  Swap 5 and -53
  List after swap: [-60, -2, -49, -53, 5, 39]

Pass 3:
  Compare -60 and -2
  No swap needed
  Compare -2 and -49
  Swap -2 and -49
  List after swap: [-60, -49, -2, -53, 5, 39]
  Compare -2 and -53
  Swap -2 and -53
  List after swap: [-60, -49, -53, -2, 5, 39]

Pass 4:
  Compare -60 and -49
  No swap needed
  Compare -49 and -53
  Swap -49 and -53
  List after swap: [-60, -53, -49, -2, 5, 39]

Pass 5:
  Compare -60 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -53, -49, -2, 5, 39]
</think>

<response>-60, -53, -49, -2, 5, 39</response>


input: Demonstrate how bubble sort orders the integers -90, 12 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-90, 12]

Pass 1:
  Compare -90 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 12]
</think>

<response>-90, 12</response>


input: Carry out the bubble sort algorithm on 87, -47, 13, 8, 84, -92, 4, -50, 36 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [87, -47, 13, 8, 84, -92, 4, -50, 36]

Pass 1:
  Compare 87 and -47
  Swap 87 and -47
  List after swap: [-47, 87, 13, 8, 84, -92, 4, -50, 36]
  Compare 87 and 13
  Swap 87 and 13
  List after swap: [-47, 13, 87, 8, 84, -92, 4, -50, 36]
  Compare 87 and 8
  Swap 87 and 8
  List after swap: [-47, 13, 8, 87, 84, -92, 4, -50, 36]
  Compare 87 and 84
  Swap 87 and 84
  List after swap: [-47, 13, 8, 84, 87, -92, 4, -50, 36]
  Compare 87 and -92
  Swap 87 and -92
  List after swap: [-47, 13, 8, 84, -92, 87, 4, -50, 36]
  Compare 87 and 4
  Swap 87 and 4
  List after swap: [-47, 13, 8, 84, -92, 4, 87, -50, 36]
  Compare 87 and -50
  Swap 87 and -50
  List after swap: [-47, 13, 8, 84, -92, 4, -50, 87, 36]
  Compare 87 and 36
  Swap 87 and 36
  List after swap: [-47, 13, 8, 84, -92, 4, -50, 36, 87]

Pass 2:
  Compare -47 and 13
  No swap needed
  Compare 13 and 8
  Swap 13 and 8
  List after swap: [-47, 8, 13, 84, -92, 4, -50, 36, 87]
  Compare 13 and 84
  No swap needed
  Compare 84 and -92
  Swap 84 and -92
  List after swap: [-47, 8, 13, -92, 84, 4, -50, 36, 87]
  Compare 84 and 4
  Swap 84 and 4
  List after swap: [-47, 8, 13, -92, 4, 84, -50, 36, 87]
  Compare 84 and -50
  Swap 84 and -50
  List after swap: [-47, 8, 13, -92, 4, -50, 84, 36, 87]
  Compare 84 and 36
  Swap 84 and 36
  List after swap: [-47, 8, 13, -92, 4, -50, 36, 84, 87]

Pass 3:
  Compare -47 and 8
  No swap needed
  Compare 8 and 13
  No swap needed
  Compare 13 and -92
  Swap 13 and -92
  List after swap: [-47, 8, -92, 13, 4, -50, 36, 84, 87]
  Compare 13 and 4
  Swap 13 and 4
  List after swap: [-47, 8, -92, 4, 13, -50, 36, 84, 87]
  Compare 13 and -50
  Swap 13 and -50
  List after swap: [-47, 8, -92, 4, -50, 13, 36, 84, 87]
  Compare 13 and 36
  No swap needed

Pass 4:
  Compare -47 and 8
  No swap needed
  Compare 8 and -92
  Swap 8 and -92
  List after swap: [-47, -92, 8, 4, -50, 13, 36, 84, 87]
  Compare 8 and 4
  Swap 8 and 4
  List after swap: [-47, -92, 4, 8, -50, 13, 36, 84, 87]
  Compare 8 and -50
  Swap 8 and -50
  List after swap: [-47, -92, 4, -50, 8, 13, 36, 84, 87]
  Compare 8 and 13
  No swap needed

Pass 5:
  Compare -47 and -92
  Swap -47 and -92
  List after swap: [-92, -47, 4, -50, 8, 13, 36, 84, 87]
  Compare -47 and 4
  No swap needed
  Compare 4 and -50
  Swap 4 and -50
  List after swap: [-92, -47, -50, 4, 8, 13, 36, 84, 87]
  Compare 4 and 8
  No swap needed

Pass 6:
  Compare -92 and -47
  No swap needed
  Compare -47 and -50
  Swap -47 and -50
  List after swap: [-92, -50, -47, 4, 8, 13, 36, 84, 87]
  Compare -47 and 4
  No swap needed

Pass 7:
  Compare -92 and -50
  No swap needed
  Compare -50 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -50, -47, 4, 8, 13, 36, 84, 87]
</think>

<response>-92, -50, -47, 4, 8, 13, 36, 84, 87</response>


input: Demonstrate how bubble sort orders the integers -3, 40, 81, 50, 48 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-3, 40, 81, 50, 48]

Pass 1:
  Compare -3 and 40
  No swap needed
  Compare 40 and 81
  No swap needed
  Compare 81 and 50
  Swap 81 and 50
  List after swap: [-3, 40, 50, 81, 48]
  Compare 81 and 48
  Swap 81 and 48
  List after swap: [-3, 40, 50, 48, 81]

Pass 2:
  Compare -3 and 40
  No swap needed
  Compare 40 and 50
  No swap needed
  Compare 50 and 48
  Swap 50 and 48
  List after swap: [-3, 40, 48, 50, 81]

Pass 3:
  Compare -3 and 40
  No swap needed
  Compare 40 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-3, 40, 48, 50, 81]
</think>

<response>-3, 40, 48, 50, 81</response>


input: Perform a bubble sort on the integers -91, -5, 49, -88, 92, 15, 23, 61, -16, 18, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-91, -5, 49, -88, 92, 15, 23, 61, -16, 18]

Pass 1:
  Compare -91 and -5
  No swap needed
  Compare -5 and 49
  No swap needed
  Compare 49 and -88
  Swap 49 and -88
  List after swap: [-91, -5, -88, 49, 92, 15, 23, 61, -16, 18]
  Compare 49 and 92
  No swap needed
  Compare 92 and 15
  Swap 92 and 15
  List after swap: [-91, -5, -88, 49, 15, 92, 23, 61, -16, 18]
  Compare 92 and 23
  Swap 92 and 23
  List after swap: [-91, -5, -88, 49, 15, 23, 92, 61, -16, 18]
  Compare 92 and 61
  Swap 92 and 61
  List after swap: [-91, -5, -88, 49, 15, 23, 61, 92, -16, 18]
  Compare 92 and -16
  Swap 92 and -16
  List after swap: [-91, -5, -88, 49, 15, 23, 61, -16, 92, 18]
  Compare 92 and 18
  Swap 92 and 18
  List after swap: [-91, -5, -88, 49, 15, 23, 61, -16, 18, 92]

Pass 2:
  Compare -91 and -5
  No swap needed
  Compare -5 and -88
  Swap -5 and -88
  List after swap: [-91, -88, -5, 49, 15, 23, 61, -16, 18, 92]
  Compare -5 and 49
  No swap needed
  Compare 49 and 15
  Swap 49 and 15
  List after swap: [-91, -88, -5, 15, 49, 23, 61, -16, 18, 92]
  Compare 49 and 23
  Swap 49 and 23
  List after swap: [-91, -88, -5, 15, 23, 49, 61, -16, 18, 92]
  Compare 49 and 61
  No swap needed
  Compare 61 and -16
  Swap 61 and -16
  List after swap: [-91, -88, -5, 15, 23, 49, -16, 61, 18, 92]
  Compare 61 and 18
  Swap 61 and 18
  List after swap: [-91, -88, -5, 15, 23, 49, -16, 18, 61, 92]

Pass 3:
  Compare -91 and -88
  No swap needed
  Compare -88 and -5
  No swap needed
  Compare -5 and 15
  No swap needed
  Compare 15 and 23
  No swap needed
  Compare 23 and 49
  No swap needed
  Compare 49 and -16
  Swap 49 and -16
  List after swap: [-91, -88, -5, 15, 23, -16, 49, 18, 61, 92]
  Compare 49 and 18
  Swap 49 and 18
  List after swap: [-91, -88, -5, 15, 23, -16, 18, 49, 61, 92]

Pass 4:
  Compare -91 and -88
  No swap needed
  Compare -88 and -5
  No swap needed
  Compare -5 and 15
  No swap needed
  Compare 15 and 23
  No swap needed
  Compare 23 and -16
  Swap 23 and -16
  List after swap: [-91, -88, -5, 15, -16, 23, 18, 49, 61, 92]
  Compare 23 and 18
  Swap 23 and 18
  List after swap: [-91, -88, -5, 15, -16, 18, 23, 49, 61, 92]

Pass 5:
  Compare -91 and -88
  No swap needed
  Compare -88 and -5
  No swap needed
  Compare -5 and 15
  No swap needed
  Compare 15 and -16
  Swap 15 and -16
  List after swap: [-91, -88, -5, -16, 15, 18, 23, 49, 61, 92]
  Compare 15 and 18
  No swap needed

Pass 6:
  Compare -91 and -88
  No swap needed
  Compare -88 and -5
  No swap needed
  Compare -5 and -16
  Swap -5 and -16
  List after swap: [-91, -88, -16, -5, 15, 18, 23, 49, 61, 92]
  Compare -5 and 15
  No swap needed

Pass 7:
  Compare -91 and -88
  No swap needed
  Compare -88 and -16
  No swap needed
  Compare -16 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -88, -16, -5, 15, 18, 23, 49, 61, 92]
</think>

<response>-91, -88, -16, -5, 15, 18, 23, 49, 61, 92</response>


input: Execute bubble sort to sort 78, 9 in increasing order and detail each phase of the sorting process.

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

Pass 1:
  Compare 78 and 9
  Swap 78 and 9
  List after swap: [9, 78]

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

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

<response>9, 78</response>


input: Implement bubble sort on -4, 55, -81 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-4, 55, -81]

Pass 1:
  Compare -4 and 55
  No swap needed
  Compare 55 and -81
  Swap 55 and -81
  List after swap: [-4, -81, 55]

Pass 2:
  Compare -4 and -81
  Swap -4 and -81
  List after swap: [-81, -4, 55]

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

Final sorted list: [-81, -4, 55]
</think>

<response>-81, -4, 55</response>


input: Arrange the numbers -25, 46, -4, -86, 45, 71 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-25, 46, -4, -86, 45, 71]

Pass 1:
  Compare -25 and 46
  No swap needed
  Compare 46 and -4
  Swap 46 and -4
  List after swap: [-25, -4, 46, -86, 45, 71]
  Compare 46 and -86
  Swap 46 and -86
  List after swap: [-25, -4, -86, 46, 45, 71]
  Compare 46 and 45
  Swap 46 and 45
  List after swap: [-25, -4, -86, 45, 46, 71]
  Compare 46 and 71
  No swap needed

Pass 2:
  Compare -25 and -4
  No swap needed
  Compare -4 and -86
  Swap -4 and -86
  List after swap: [-25, -86, -4, 45, 46, 71]
  Compare -4 and 45
  No swap needed
  Compare 45 and 46
  No swap needed

Pass 3:
  Compare -25 and -86
  Swap -25 and -86
  List after swap: [-86, -25, -4, 45, 46, 71]
  Compare -25 and -4
  No swap needed
  Compare -4 and 45
  No swap needed

Pass 4:
  Compare -86 and -25
  No swap needed
  Compare -25 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -25, -4, 45, 46, 71]
</think>

<response>-86, -25, -4, 45, 46, 71</response>


input: Use the bubble sort technique to reorder -62, 79, -97 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-62, 79, -97]

Pass 1:
  Compare -62 and 79
  No swap needed
  Compare 79 and -97
  Swap 79 and -97
  List after swap: [-62, -97, 79]

Pass 2:
  Compare -62 and -97
  Swap -62 and -97
  List after swap: [-97, -62, 79]

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

Final sorted list: [-97, -62, 79]
</think>

<response>-97, -62, 79</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -26, -44.

output:
<think>
Initial list: [-26, -44]

Pass 1:
  Compare -26 and -44
  Swap -26 and -44
  List after swap: [-44, -26]

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

Final sorted list: [-44, -26]
</think>

<response>-44, -26</response>


input: Implement bubble sort on -69, 55, 19, -85, 27, 35 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-69, 55, 19, -85, 27, 35]

Pass 1:
  Compare -69 and 55
  No swap needed
  Compare 55 and 19
  Swap 55 and 19
  List after swap: [-69, 19, 55, -85, 27, 35]
  Compare 55 and -85
  Swap 55 and -85
  List after swap: [-69, 19, -85, 55, 27, 35]
  Compare 55 and 27
  Swap 55 and 27
  List after swap: [-69, 19, -85, 27, 55, 35]
  Compare 55 and 35
  Swap 55 and 35
  List after swap: [-69, 19, -85, 27, 35, 55]

Pass 2:
  Compare -69 and 19
  No swap needed
  Compare 19 and -85
  Swap 19 and -85
  List after swap: [-69, -85, 19, 27, 35, 55]
  Compare 19 and 27
  No swap needed
  Compare 27 and 35
  No swap needed

Pass 3:
  Compare -69 and -85
  Swap -69 and -85
  List after swap: [-85, -69, 19, 27, 35, 55]
  Compare -69 and 19
  No swap needed
  Compare 19 and 27
  No swap needed

Pass 4:
  Compare -85 and -69
  No swap needed
  Compare -69 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -69, 19, 27, 35, 55]
</think>

<response>-85, -69, 19, 27, 35, 55</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 19, 55, 67, -42.

output:
<think>
Initial list: [19, 55, 67, -42]

Pass 1:
  Compare 19 and 55
  No swap needed
  Compare 55 and 67
  No swap needed
  Compare 67 and -42
  Swap 67 and -42
  List after swap: [19, 55, -42, 67]

Pass 2:
  Compare 19 and 55
  No swap needed
  Compare 55 and -42
  Swap 55 and -42
  List after swap: [19, -42, 55, 67]

Pass 3:
  Compare 19 and -42
  Swap 19 and -42
  List after swap: [-42, 19, 55, 67]

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

Final sorted list: [-42, 19, 55, 67]
</think>

<response>-42, 19, 55, 67</response>


input: Using the bubble sort method, sort -79, -70, 69, -14, 54 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-79, -70, 69, -14, 54]

Pass 1:
  Compare -79 and -70
  No swap needed
  Compare -70 and 69
  No swap needed
  Compare 69 and -14
  Swap 69 and -14
  List after swap: [-79, -70, -14, 69, 54]
  Compare 69 and 54
  Swap 69 and 54
  List after swap: [-79, -70, -14, 54, 69]

Pass 2:
  Compare -79 and -70
  No swap needed
  Compare -70 and -14
  No swap needed
  Compare -14 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -70, -14, 54, 69]
</think>

<response>-79, -70, -14, 54, 69</response>


input: Sort the list 84, 13, 49, -35, -76 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [84, 13, 49, -35, -76]

Pass 1:
  Compare 84 and 13
  Swap 84 and 13
  List after swap: [13, 84, 49, -35, -76]
  Compare 84 and 49
  Swap 84 and 49
  List after swap: [13, 49, 84, -35, -76]
  Compare 84 and -35
  Swap 84 and -35
  List after swap: [13, 49, -35, 84, -76]
  Compare 84 and -76
  Swap 84 and -76
  List after swap: [13, 49, -35, -76, 84]

Pass 2:
  Compare 13 and 49
  No swap needed
  Compare 49 and -35
  Swap 49 and -35
  List after swap: [13, -35, 49, -76, 84]
  Compare 49 and -76
  Swap 49 and -76
  List after swap: [13, -35, -76, 49, 84]

Pass 3:
  Compare 13 and -35
  Swap 13 and -35
  List after swap: [-35, 13, -76, 49, 84]
  Compare 13 and -76
  Swap 13 and -76
  List after swap: [-35, -76, 13, 49, 84]

Pass 4:
  Compare -35 and -76
  Swap -35 and -76
  List after swap: [-76, -35, 13, 49, 84]

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

Final sorted list: [-76, -35, 13, 49, 84]
</think>

<response>-76, -35, 13, 49, 84</response>


input: Sort the list -64, -93 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-64, -93]

Pass 1:
  Compare -64 and -93
  Swap -64 and -93
  List after swap: [-93, -64]

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

Final sorted list: [-93, -64]
</think>

<response>-93, -64</response>


input: Sort the list 44, -76 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [44, -76]

Pass 1:
  Compare 44 and -76
  Swap 44 and -76
  List after swap: [-76, 44]

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

Final sorted list: [-76, 44]
</think>

<response>-76, 44</response>


input: Sort these integers -12, -67 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-12, -67]

Pass 1:
  Compare -12 and -67
  Swap -12 and -67
  List after swap: [-67, -12]

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

Final sorted list: [-67, -12]
</think>

<response>-67, -12</response>


input: Use the bubble sort technique to reorder 83, -24, -1 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [83, -24, -1]

Pass 1:
  Compare 83 and -24
  Swap 83 and -24
  List after swap: [-24, 83, -1]
  Compare 83 and -1
  Swap 83 and -1
  List after swap: [-24, -1, 83]

Pass 2:
  Compare -24 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, -1, 83]
</think>

<response>-24, -1, 83</response>


input: Implement bubble sort on 20, -79, -64, 91, -51 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [20, -79, -64, 91, -51]

Pass 1:
  Compare 20 and -79
  Swap 20 and -79
  List after swap: [-79, 20, -64, 91, -51]
  Compare 20 and -64
  Swap 20 and -64
  List after swap: [-79, -64, 20, 91, -51]
  Compare 20 and 91
  No swap needed
  Compare 91 and -51
  Swap 91 and -51
  List after swap: [-79, -64, 20, -51, 91]

Pass 2:
  Compare -79 and -64
  No swap needed
  Compare -64 and 20
  No swap needed
  Compare 20 and -51
  Swap 20 and -51
  List after swap: [-79, -64, -51, 20, 91]

Pass 3:
  Compare -79 and -64
  No swap needed
  Compare -64 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -64, -51, 20, 91]
</think>

<response>-79, -64, -51, 20, 91</response>


input: Arrange the numbers -78, -50 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-78, -50]

Pass 1:
  Compare -78 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -50]
</think>

<response>-78, -50</response>


input: Sort these integers 53, -42, -48, 33, -14, -54, 25, 72, 45, -82 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [53, -42, -48, 33, -14, -54, 25, 72, 45, -82]

Pass 1:
  Compare 53 and -42
  Swap 53 and -42
  List after swap: [-42, 53, -48, 33, -14, -54, 25, 72, 45, -82]
  Compare 53 and -48
  Swap 53 and -48
  List after swap: [-42, -48, 53, 33, -14, -54, 25, 72, 45, -82]
  Compare 53 and 33
  Swap 53 and 33
  List after swap: [-42, -48, 33, 53, -14, -54, 25, 72, 45, -82]
  Compare 53 and -14
  Swap 53 and -14
  List after swap: [-42, -48, 33, -14, 53, -54, 25, 72, 45, -82]
  Compare 53 and -54
  Swap 53 and -54
  List after swap: [-42, -48, 33, -14, -54, 53, 25, 72, 45, -82]
  Compare 53 and 25
  Swap 53 and 25
  List after swap: [-42, -48, 33, -14, -54, 25, 53, 72, 45, -82]
  Compare 53 and 72
  No swap needed
  Compare 72 and 45
  Swap 72 and 45
  List after swap: [-42, -48, 33, -14, -54, 25, 53, 45, 72, -82]
  Compare 72 and -82
  Swap 72 and -82
  List after swap: [-42, -48, 33, -14, -54, 25, 53, 45, -82, 72]

Pass 2:
  Compare -42 and -48
  Swap -42 and -48
  List after swap: [-48, -42, 33, -14, -54, 25, 53, 45, -82, 72]
  Compare -42 and 33
  No swap needed
  Compare 33 and -14
  Swap 33 and -14
  List after swap: [-48, -42, -14, 33, -54, 25, 53, 45, -82, 72]
  Compare 33 and -54
  Swap 33 and -54
  List after swap: [-48, -42, -14, -54, 33, 25, 53, 45, -82, 72]
  Compare 33 and 25
  Swap 33 and 25
  List after swap: [-48, -42, -14, -54, 25, 33, 53, 45, -82, 72]
  Compare 33 and 53
  No swap needed
  Compare 53 and 45
  Swap 53 and 45
  List after swap: [-48, -42, -14, -54, 25, 33, 45, 53, -82, 72]
  Compare 53 and -82
  Swap 53 and -82
  List after swap: [-48, -42, -14, -54, 25, 33, 45, -82, 53, 72]

Pass 3:
  Compare -48 and -42
  No swap needed
  Compare -42 and -14
  No swap needed
  Compare -14 and -54
  Swap -14 and -54
  List after swap: [-48, -42, -54, -14, 25, 33, 45, -82, 53, 72]
  Compare -14 and 25
  No swap needed
  Compare 25 and 33
  No swap needed
  Compare 33 and 45
  No swap needed
  Compare 45 and -82
  Swap 45 and -82
  List after swap: [-48, -42, -54, -14, 25, 33, -82, 45, 53, 72]

Pass 4:
  Compare -48 and -42
  No swap needed
  Compare -42 and -54
  Swap -42 and -54
  List after swap: [-48, -54, -42, -14, 25, 33, -82, 45, 53, 72]
  Compare -42 and -14
  No swap needed
  Compare -14 and 25
  No swap needed
  Compare 25 and 33
  No swap needed
  Compare 33 and -82
  Swap 33 and -82
  List after swap: [-48, -54, -42, -14, 25, -82, 33, 45, 53, 72]

Pass 5:
  Compare -48 and -54
  Swap -48 and -54
  List after swap: [-54, -48, -42, -14, 25, -82, 33, 45, 53, 72]
  Compare -48 and -42
  No swap needed
  Compare -42 and -14
  No swap needed
  Compare -14 and 25
  No swap needed
  Compare 25 and -82
  Swap 25 and -82
  List after swap: [-54, -48, -42, -14, -82, 25, 33, 45, 53, 72]

Pass 6:
  Compare -54 and -48
  No swap needed
  Compare -48 and -42
  No swap needed
  Compare -42 and -14
  No swap needed
  Compare -14 and -82
  Swap -14 and -82
  List after swap: [-54, -48, -42, -82, -14, 25, 33, 45, 53, 72]

Pass 7:
  Compare -54 and -48
  No swap needed
  Compare -48 and -42
  No swap needed
  Compare -42 and -82
  Swap -42 and -82
  List after swap: [-54, -48, -82, -42, -14, 25, 33, 45, 53, 72]

Pass 8:
  Compare -54 and -48
  No swap needed
  Compare -48 and -82
  Swap -48 and -82
  List after swap: [-54, -82, -48, -42, -14, 25, 33, 45, 53, 72]

Pass 9:
  Compare -54 and -82
  Swap -54 and -82
  List after swap: [-82, -54, -48, -42, -14, 25, 33, 45, 53, 72]

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

Final sorted list: [-82, -54, -48, -42, -14, 25, 33, 45, 53, 72]
</think>

<response>-82, -54, -48, -42, -14, 25, 33, 45, 53, 72</response>


input: Using the bubble sort method, sort 52, -42, -65, -99, 5, 59, -25, 71, -56 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [52, -42, -65, -99, 5, 59, -25, 71, -56]

Pass 1:
  Compare 52 and -42
  Swap 52 and -42
  List after swap: [-42, 52, -65, -99, 5, 59, -25, 71, -56]
  Compare 52 and -65
  Swap 52 and -65
  List after swap: [-42, -65, 52, -99, 5, 59, -25, 71, -56]
  Compare 52 and -99
  Swap 52 and -99
  List after swap: [-42, -65, -99, 52, 5, 59, -25, 71, -56]
  Compare 52 and 5
  Swap 52 and 5
  List after swap: [-42, -65, -99, 5, 52, 59, -25, 71, -56]
  Compare 52 and 59
  No swap needed
  Compare 59 and -25
  Swap 59 and -25
  List after swap: [-42, -65, -99, 5, 52, -25, 59, 71, -56]
  Compare 59 and 71
  No swap needed
  Compare 71 and -56
  Swap 71 and -56
  List after swap: [-42, -65, -99, 5, 52, -25, 59, -56, 71]

Pass 2:
  Compare -42 and -65
  Swap -42 and -65
  List after swap: [-65, -42, -99, 5, 52, -25, 59, -56, 71]
  Compare -42 and -99
  Swap -42 and -99
  List after swap: [-65, -99, -42, 5, 52, -25, 59, -56, 71]
  Compare -42 and 5
  No swap needed
  Compare 5 and 52
  No swap needed
  Compare 52 and -25
  Swap 52 and -25
  List after swap: [-65, -99, -42, 5, -25, 52, 59, -56, 71]
  Compare 52 and 59
  No swap needed
  Compare 59 and -56
  Swap 59 and -56
  List after swap: [-65, -99, -42, 5, -25, 52, -56, 59, 71]

Pass 3:
  Compare -65 and -99
  Swap -65 and -99
  List after swap: [-99, -65, -42, 5, -25, 52, -56, 59, 71]
  Compare -65 and -42
  No swap needed
  Compare -42 and 5
  No swap needed
  Compare 5 and -25
  Swap 5 and -25
  List after swap: [-99, -65, -42, -25, 5, 52, -56, 59, 71]
  Compare 5 and 52
  No swap needed
  Compare 52 and -56
  Swap 52 and -56
  List after swap: [-99, -65, -42, -25, 5, -56, 52, 59, 71]

Pass 4:
  Compare -99 and -65
  No swap needed
  Compare -65 and -42
  No swap needed
  Compare -42 and -25
  No swap needed
  Compare -25 and 5
  No swap needed
  Compare 5 and -56
  Swap 5 and -56
  List after swap: [-99, -65, -42, -25, -56, 5, 52, 59, 71]

Pass 5:
  Compare -99 and -65
  No swap needed
  Compare -65 and -42
  No swap needed
  Compare -42 and -25
  No swap needed
  Compare -25 and -56
  Swap -25 and -56
  List after swap: [-99, -65, -42, -56, -25, 5, 52, 59, 71]

Pass 6:
  Compare -99 and -65
  No swap needed
  Compare -65 and -42
  No swap needed
  Compare -42 and -56
  Swap -42 and -56
  List after swap: [-99, -65, -56, -42, -25, 5, 52, 59, 71]

Pass 7:
  Compare -99 and -65
  No swap needed
  Compare -65 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -65, -56, -42, -25, 5, 52, 59, 71]
</think>

<response>-99, -65, -56, -42, -25, 5, 52, 59, 71</response>


input: Sort these integers -80, -53, 72, -84, -77, 92, -25, 45, 1 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-80, -53, 72, -84, -77, 92, -25, 45, 1]

Pass 1:
  Compare -80 and -53
  No swap needed
  Compare -53 and 72
  No swap needed
  Compare 72 and -84
  Swap 72 and -84
  List after swap: [-80, -53, -84, 72, -77, 92, -25, 45, 1]
  Compare 72 and -77
  Swap 72 and -77
  List after swap: [-80, -53, -84, -77, 72, 92, -25, 45, 1]
  Compare 72 and 92
  No swap needed
  Compare 92 and -25
  Swap 92 and -25
  List after swap: [-80, -53, -84, -77, 72, -25, 92, 45, 1]
  Compare 92 and 45
  Swap 92 and 45
  List after swap: [-80, -53, -84, -77, 72, -25, 45, 92, 1]
  Compare 92 and 1
  Swap 92 and 1
  List after swap: [-80, -53, -84, -77, 72, -25, 45, 1, 92]

Pass 2:
  Compare -80 and -53
  No swap needed
  Compare -53 and -84
  Swap -53 and -84
  List after swap: [-80, -84, -53, -77, 72, -25, 45, 1, 92]
  Compare -53 and -77
  Swap -53 and -77
  List after swap: [-80, -84, -77, -53, 72, -25, 45, 1, 92]
  Compare -53 and 72
  No swap needed
  Compare 72 and -25
  Swap 72 and -25
  List after swap: [-80, -84, -77, -53, -25, 72, 45, 1, 92]
  Compare 72 and 45
  Swap 72 and 45
  List after swap: [-80, -84, -77, -53, -25, 45, 72, 1, 92]
  Compare 72 and 1
  Swap 72 and 1
  List after swap: [-80, -84, -77, -53, -25, 45, 1, 72, 92]

Pass 3:
  Compare -80 and -84
  Swap -80 and -84
  List after swap: [-84, -80, -77, -53, -25, 45, 1, 72, 92]
  Compare -80 and -77
  No swap needed
  Compare -77 and -53
  No swap needed
  Compare -53 and -25
  No swap needed
  Compare -25 and 45
  No swap needed
  Compare 45 and 1
  Swap 45 and 1
  List after swap: [-84, -80, -77, -53, -25, 1, 45, 72, 92]

Pass 4:
  Compare -84 and -80
  No swap needed
  Compare -80 and -77
  No swap needed
  Compare -77 and -53
  No swap needed
  Compare -53 and -25
  No swap needed
  Compare -25 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -80, -77, -53, -25, 1, 45, 72, 92]
</think>

<response>-84, -80, -77, -53, -25, 1, 45, 72, 92</response>


input: Arrange the numbers -95, -8 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-95, -8]

Pass 1:
  Compare -95 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -8]
</think>

<response>-95, -8</response>


input: Perform a bubble sort on the integers 26, 11, 47, -52, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [26, 11, 47, -52]

Pass 1:
  Compare 26 and 11
  Swap 26 and 11
  List after swap: [11, 26, 47, -52]
  Compare 26 and 47
  No swap needed
  Compare 47 and -52
  Swap 47 and -52
  List after swap: [11, 26, -52, 47]

Pass 2:
  Compare 11 and 26
  No swap needed
  Compare 26 and -52
  Swap 26 and -52
  List after swap: [11, -52, 26, 47]

Pass 3:
  Compare 11 and -52
  Swap 11 and -52
  List after swap: [-52, 11, 26, 47]

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

Final sorted list: [-52, 11, 26, 47]
</think>

<response>-52, 11, 26, 47</response>


input: Arrange the numbers -62, 32, 79, -5, 94, -21 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-62, 32, 79, -5, 94, -21]

Pass 1:
  Compare -62 and 32
  No swap needed
  Compare 32 and 79
  No swap needed
  Compare 79 and -5
  Swap 79 and -5
  List after swap: [-62, 32, -5, 79, 94, -21]
  Compare 79 and 94
  No swap needed
  Compare 94 and -21
  Swap 94 and -21
  List after swap: [-62, 32, -5, 79, -21, 94]

Pass 2:
  Compare -62 and 32
  No swap needed
  Compare 32 and -5
  Swap 32 and -5
  List after swap: [-62, -5, 32, 79, -21, 94]
  Compare 32 and 79
  No swap needed
  Compare 79 and -21
  Swap 79 and -21
  List after swap: [-62, -5, 32, -21, 79, 94]

Pass 3:
  Compare -62 and -5
  No swap needed
  Compare -5 and 32
  No swap needed
  Compare 32 and -21
  Swap 32 and -21
  List after swap: [-62, -5, -21, 32, 79, 94]

Pass 4:
  Compare -62 and -5
  No swap needed
  Compare -5 and -21
  Swap -5 and -21
  List after swap: [-62, -21, -5, 32, 79, 94]

Pass 5:
  Compare -62 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -21, -5, 32, 79, 94]
</think>

<response>-62, -21, -5, 32, 79, 94</response>


input: Carry out the bubble sort algorithm on 47, 29, 22, -12, 66, -76 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [47, 29, 22, -12, 66, -76]

Pass 1:
  Compare 47 and 29
  Swap 47 and 29
  List after swap: [29, 47, 22, -12, 66, -76]
  Compare 47 and 22
  Swap 47 and 22
  List after swap: [29, 22, 47, -12, 66, -76]
  Compare 47 and -12
  Swap 47 and -12
  List after swap: [29, 22, -12, 47, 66, -76]
  Compare 47 and 66
  No swap needed
  Compare 66 and -76
  Swap 66 and -76
  List after swap: [29, 22, -12, 47, -76, 66]

Pass 2:
  Compare 29 and 22
  Swap 29 and 22
  List after swap: [22, 29, -12, 47, -76, 66]
  Compare 29 and -12
  Swap 29 and -12
  List after swap: [22, -12, 29, 47, -76, 66]
  Compare 29 and 47
  No swap needed
  Compare 47 and -76
  Swap 47 and -76
  List after swap: [22, -12, 29, -76, 47, 66]

Pass 3:
  Compare 22 and -12
  Swap 22 and -12
  List after swap: [-12, 22, 29, -76, 47, 66]
  Compare 22 and 29
  No swap needed
  Compare 29 and -76
  Swap 29 and -76
  List after swap: [-12, 22, -76, 29, 47, 66]

Pass 4:
  Compare -12 and 22
  No swap needed
  Compare 22 and -76
  Swap 22 and -76
  List after swap: [-12, -76, 22, 29, 47, 66]

Pass 5:
  Compare -12 and -76
  Swap -12 and -76
  List after swap: [-76, -12, 22, 29, 47, 66]

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

Final sorted list: [-76, -12, 22, 29, 47, 66]
</think>

<response>-76, -12, 22, 29, 47, 66</response>


input: Execute bubble sort to sort 50, -42, -60, 82, -87, -22, -29 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [50, -42, -60, 82, -87, -22, -29]

Pass 1:
  Compare 50 and -42
  Swap 50 and -42
  List after swap: [-42, 50, -60, 82, -87, -22, -29]
  Compare 50 and -60
  Swap 50 and -60
  List after swap: [-42, -60, 50, 82, -87, -22, -29]
  Compare 50 and 82
  No swap needed
  Compare 82 and -87
  Swap 82 and -87
  List after swap: [-42, -60, 50, -87, 82, -22, -29]
  Compare 82 and -22
  Swap 82 and -22
  List after swap: [-42, -60, 50, -87, -22, 82, -29]
  Compare 82 and -29
  Swap 82 and -29
  List after swap: [-42, -60, 50, -87, -22, -29, 82]

Pass 2:
  Compare -42 and -60
  Swap -42 and -60
  List after swap: [-60, -42, 50, -87, -22, -29, 82]
  Compare -42 and 50
  No swap needed
  Compare 50 and -87
  Swap 50 and -87
  List after swap: [-60, -42, -87, 50, -22, -29, 82]
  Compare 50 and -22
  Swap 50 and -22
  List after swap: [-60, -42, -87, -22, 50, -29, 82]
  Compare 50 and -29
  Swap 50 and -29
  List after swap: [-60, -42, -87, -22, -29, 50, 82]

Pass 3:
  Compare -60 and -42
  No swap needed
  Compare -42 and -87
  Swap -42 and -87
  List after swap: [-60, -87, -42, -22, -29, 50, 82]
  Compare -42 and -22
  No swap needed
  Compare -22 and -29
  Swap -22 and -29
  List after swap: [-60, -87, -42, -29, -22, 50, 82]

Pass 4:
  Compare -60 and -87
  Swap -60 and -87
  List after swap: [-87, -60, -42, -29, -22, 50, 82]
  Compare -60 and -42
  No swap needed
  Compare -42 and -29
  No swap needed

Pass 5:
  Compare -87 and -60
  No swap needed
  Compare -60 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -60, -42, -29, -22, 50, 82]
</think>

<response>-87, -60, -42, -29, -22, 50, 82</response>