input: Sort these integers 87, 40, 57, -61, 3, -12 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [87, 40, 57, -61, 3, -12]

Pass 1:
  Compare 87 and 40
  Swap 87 and 40
  List after swap: [40, 87, 57, -61, 3, -12]
  Compare 87 and 57
  Swap 87 and 57
  List after swap: [40, 57, 87, -61, 3, -12]
  Compare 87 and -61
  Swap 87 and -61
  List after swap: [40, 57, -61, 87, 3, -12]
  Compare 87 and 3
  Swap 87 and 3
  List after swap: [40, 57, -61, 3, 87, -12]
  Compare 87 and -12
  Swap 87 and -12
  List after swap: [40, 57, -61, 3, -12, 87]

Pass 2:
  Compare 40 and 57
  No swap needed
  Compare 57 and -61
  Swap 57 and -61
  List after swap: [40, -61, 57, 3, -12, 87]
  Compare 57 and 3
  Swap 57 and 3
  List after swap: [40, -61, 3, 57, -12, 87]
  Compare 57 and -12
  Swap 57 and -12
  List after swap: [40, -61, 3, -12, 57, 87]

Pass 3:
  Compare 40 and -61
  Swap 40 and -61
  List after swap: [-61, 40, 3, -12, 57, 87]
  Compare 40 and 3
  Swap 40 and 3
  List after swap: [-61, 3, 40, -12, 57, 87]
  Compare 40 and -12
  Swap 40 and -12
  List after swap: [-61, 3, -12, 40, 57, 87]

Pass 4:
  Compare -61 and 3
  No swap needed
  Compare 3 and -12
  Swap 3 and -12
  List after swap: [-61, -12, 3, 40, 57, 87]

Pass 5:
  Compare -61 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -12, 3, 40, 57, 87]
</think>

<response>-61, -12, 3, 40, 57, 87</response>


input: Implement bubble sort on 32, -77, 22, 85, 71, -36, -49, 16, 2, -42 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [32, -77, 22, 85, 71, -36, -49, 16, 2, -42]

Pass 1:
  Compare 32 and -77
  Swap 32 and -77
  List after swap: [-77, 32, 22, 85, 71, -36, -49, 16, 2, -42]
  Compare 32 and 22
  Swap 32 and 22
  List after swap: [-77, 22, 32, 85, 71, -36, -49, 16, 2, -42]
  Compare 32 and 85
  No swap needed
  Compare 85 and 71
  Swap 85 and 71
  List after swap: [-77, 22, 32, 71, 85, -36, -49, 16, 2, -42]
  Compare 85 and -36
  Swap 85 and -36
  List after swap: [-77, 22, 32, 71, -36, 85, -49, 16, 2, -42]
  Compare 85 and -49
  Swap 85 and -49
  List after swap: [-77, 22, 32, 71, -36, -49, 85, 16, 2, -42]
  Compare 85 and 16
  Swap 85 and 16
  List after swap: [-77, 22, 32, 71, -36, -49, 16, 85, 2, -42]
  Compare 85 and 2
  Swap 85 and 2
  List after swap: [-77, 22, 32, 71, -36, -49, 16, 2, 85, -42]
  Compare 85 and -42
  Swap 85 and -42
  List after swap: [-77, 22, 32, 71, -36, -49, 16, 2, -42, 85]

Pass 2:
  Compare -77 and 22
  No swap needed
  Compare 22 and 32
  No swap needed
  Compare 32 and 71
  No swap needed
  Compare 71 and -36
  Swap 71 and -36
  List after swap: [-77, 22, 32, -36, 71, -49, 16, 2, -42, 85]
  Compare 71 and -49
  Swap 71 and -49
  List after swap: [-77, 22, 32, -36, -49, 71, 16, 2, -42, 85]
  Compare 71 and 16
  Swap 71 and 16
  List after swap: [-77, 22, 32, -36, -49, 16, 71, 2, -42, 85]
  Compare 71 and 2
  Swap 71 and 2
  List after swap: [-77, 22, 32, -36, -49, 16, 2, 71, -42, 85]
  Compare 71 and -42
  Swap 71 and -42
  List after swap: [-77, 22, 32, -36, -49, 16, 2, -42, 71, 85]

Pass 3:
  Compare -77 and 22
  No swap needed
  Compare 22 and 32
  No swap needed
  Compare 32 and -36
  Swap 32 and -36
  List after swap: [-77, 22, -36, 32, -49, 16, 2, -42, 71, 85]
  Compare 32 and -49
  Swap 32 and -49
  List after swap: [-77, 22, -36, -49, 32, 16, 2, -42, 71, 85]
  Compare 32 and 16
  Swap 32 and 16
  List after swap: [-77, 22, -36, -49, 16, 32, 2, -42, 71, 85]
  Compare 32 and 2
  Swap 32 and 2
  List after swap: [-77, 22, -36, -49, 16, 2, 32, -42, 71, 85]
  Compare 32 and -42
  Swap 32 and -42
  List after swap: [-77, 22, -36, -49, 16, 2, -42, 32, 71, 85]

Pass 4:
  Compare -77 and 22
  No swap needed
  Compare 22 and -36
  Swap 22 and -36
  List after swap: [-77, -36, 22, -49, 16, 2, -42, 32, 71, 85]
  Compare 22 and -49
  Swap 22 and -49
  List after swap: [-77, -36, -49, 22, 16, 2, -42, 32, 71, 85]
  Compare 22 and 16
  Swap 22 and 16
  List after swap: [-77, -36, -49, 16, 22, 2, -42, 32, 71, 85]
  Compare 22 and 2
  Swap 22 and 2
  List after swap: [-77, -36, -49, 16, 2, 22, -42, 32, 71, 85]
  Compare 22 and -42
  Swap 22 and -42
  List after swap: [-77, -36, -49, 16, 2, -42, 22, 32, 71, 85]

Pass 5:
  Compare -77 and -36
  No swap needed
  Compare -36 and -49
  Swap -36 and -49
  List after swap: [-77, -49, -36, 16, 2, -42, 22, 32, 71, 85]
  Compare -36 and 16
  No swap needed
  Compare 16 and 2
  Swap 16 and 2
  List after swap: [-77, -49, -36, 2, 16, -42, 22, 32, 71, 85]
  Compare 16 and -42
  Swap 16 and -42
  List after swap: [-77, -49, -36, 2, -42, 16, 22, 32, 71, 85]

Pass 6:
  Compare -77 and -49
  No swap needed
  Compare -49 and -36
  No swap needed
  Compare -36 and 2
  No swap needed
  Compare 2 and -42
  Swap 2 and -42
  List after swap: [-77, -49, -36, -42, 2, 16, 22, 32, 71, 85]

Pass 7:
  Compare -77 and -49
  No swap needed
  Compare -49 and -36
  No swap needed
  Compare -36 and -42
  Swap -36 and -42
  List after swap: [-77, -49, -42, -36, 2, 16, 22, 32, 71, 85]

Pass 8:
  Compare -77 and -49
  No swap needed
  Compare -49 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -49, -42, -36, 2, 16, 22, 32, 71, 85]
</think>

<response>-77, -49, -42, -36, 2, 16, 22, 32, 71, 85</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 31, 54, 59, 23, -16, -79.

output:
<think>
Initial list: [31, 54, 59, 23, -16, -79]

Pass 1:
  Compare 31 and 54
  No swap needed
  Compare 54 and 59
  No swap needed
  Compare 59 and 23
  Swap 59 and 23
  List after swap: [31, 54, 23, 59, -16, -79]
  Compare 59 and -16
  Swap 59 and -16
  List after swap: [31, 54, 23, -16, 59, -79]
  Compare 59 and -79
  Swap 59 and -79
  List after swap: [31, 54, 23, -16, -79, 59]

Pass 2:
  Compare 31 and 54
  No swap needed
  Compare 54 and 23
  Swap 54 and 23
  List after swap: [31, 23, 54, -16, -79, 59]
  Compare 54 and -16
  Swap 54 and -16
  List after swap: [31, 23, -16, 54, -79, 59]
  Compare 54 and -79
  Swap 54 and -79
  List after swap: [31, 23, -16, -79, 54, 59]

Pass 3:
  Compare 31 and 23
  Swap 31 and 23
  List after swap: [23, 31, -16, -79, 54, 59]
  Compare 31 and -16
  Swap 31 and -16
  List after swap: [23, -16, 31, -79, 54, 59]
  Compare 31 and -79
  Swap 31 and -79
  List after swap: [23, -16, -79, 31, 54, 59]

Pass 4:
  Compare 23 and -16
  Swap 23 and -16
  List after swap: [-16, 23, -79, 31, 54, 59]
  Compare 23 and -79
  Swap 23 and -79
  List after swap: [-16, -79, 23, 31, 54, 59]

Pass 5:
  Compare -16 and -79
  Swap -16 and -79
  List after swap: [-79, -16, 23, 31, 54, 59]

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

Final sorted list: [-79, -16, 23, 31, 54, 59]
</think>

<response>-79, -16, 23, 31, 54, 59</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 75, -39, 55, -18, 61, -65, 21, 24, -15.

output:
<think>
Initial list: [75, -39, 55, -18, 61, -65, 21, 24, -15]

Pass 1:
  Compare 75 and -39
  Swap 75 and -39
  List after swap: [-39, 75, 55, -18, 61, -65, 21, 24, -15]
  Compare 75 and 55
  Swap 75 and 55
  List after swap: [-39, 55, 75, -18, 61, -65, 21, 24, -15]
  Compare 75 and -18
  Swap 75 and -18
  List after swap: [-39, 55, -18, 75, 61, -65, 21, 24, -15]
  Compare 75 and 61
  Swap 75 and 61
  List after swap: [-39, 55, -18, 61, 75, -65, 21, 24, -15]
  Compare 75 and -65
  Swap 75 and -65
  List after swap: [-39, 55, -18, 61, -65, 75, 21, 24, -15]
  Compare 75 and 21
  Swap 75 and 21
  List after swap: [-39, 55, -18, 61, -65, 21, 75, 24, -15]
  Compare 75 and 24
  Swap 75 and 24
  List after swap: [-39, 55, -18, 61, -65, 21, 24, 75, -15]
  Compare 75 and -15
  Swap 75 and -15
  List after swap: [-39, 55, -18, 61, -65, 21, 24, -15, 75]

Pass 2:
  Compare -39 and 55
  No swap needed
  Compare 55 and -18
  Swap 55 and -18
  List after swap: [-39, -18, 55, 61, -65, 21, 24, -15, 75]
  Compare 55 and 61
  No swap needed
  Compare 61 and -65
  Swap 61 and -65
  List after swap: [-39, -18, 55, -65, 61, 21, 24, -15, 75]
  Compare 61 and 21
  Swap 61 and 21
  List after swap: [-39, -18, 55, -65, 21, 61, 24, -15, 75]
  Compare 61 and 24
  Swap 61 and 24
  List after swap: [-39, -18, 55, -65, 21, 24, 61, -15, 75]
  Compare 61 and -15
  Swap 61 and -15
  List after swap: [-39, -18, 55, -65, 21, 24, -15, 61, 75]

Pass 3:
  Compare -39 and -18
  No swap needed
  Compare -18 and 55
  No swap needed
  Compare 55 and -65
  Swap 55 and -65
  List after swap: [-39, -18, -65, 55, 21, 24, -15, 61, 75]
  Compare 55 and 21
  Swap 55 and 21
  List after swap: [-39, -18, -65, 21, 55, 24, -15, 61, 75]
  Compare 55 and 24
  Swap 55 and 24
  List after swap: [-39, -18, -65, 21, 24, 55, -15, 61, 75]
  Compare 55 and -15
  Swap 55 and -15
  List after swap: [-39, -18, -65, 21, 24, -15, 55, 61, 75]

Pass 4:
  Compare -39 and -18
  No swap needed
  Compare -18 and -65
  Swap -18 and -65
  List after swap: [-39, -65, -18, 21, 24, -15, 55, 61, 75]
  Compare -18 and 21
  No swap needed
  Compare 21 and 24
  No swap needed
  Compare 24 and -15
  Swap 24 and -15
  List after swap: [-39, -65, -18, 21, -15, 24, 55, 61, 75]

Pass 5:
  Compare -39 and -65
  Swap -39 and -65
  List after swap: [-65, -39, -18, 21, -15, 24, 55, 61, 75]
  Compare -39 and -18
  No swap needed
  Compare -18 and 21
  No swap needed
  Compare 21 and -15
  Swap 21 and -15
  List after swap: [-65, -39, -18, -15, 21, 24, 55, 61, 75]

Pass 6:
  Compare -65 and -39
  No swap needed
  Compare -39 and -18
  No swap needed
  Compare -18 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -39, -18, -15, 21, 24, 55, 61, 75]
</think>

<response>-65, -39, -18, -15, 21, 24, 55, 61, 75</response>


input: Implement bubble sort on -47, 46, 71, -88, 68, -69, 7, -25, 98, 77 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-47, 46, 71, -88, 68, -69, 7, -25, 98, 77]

Pass 1:
  Compare -47 and 46
  No swap needed
  Compare 46 and 71
  No swap needed
  Compare 71 and -88
  Swap 71 and -88
  List after swap: [-47, 46, -88, 71, 68, -69, 7, -25, 98, 77]
  Compare 71 and 68
  Swap 71 and 68
  List after swap: [-47, 46, -88, 68, 71, -69, 7, -25, 98, 77]
  Compare 71 and -69
  Swap 71 and -69
  List after swap: [-47, 46, -88, 68, -69, 71, 7, -25, 98, 77]
  Compare 71 and 7
  Swap 71 and 7
  List after swap: [-47, 46, -88, 68, -69, 7, 71, -25, 98, 77]
  Compare 71 and -25
  Swap 71 and -25
  List after swap: [-47, 46, -88, 68, -69, 7, -25, 71, 98, 77]
  Compare 71 and 98
  No swap needed
  Compare 98 and 77
  Swap 98 and 77
  List after swap: [-47, 46, -88, 68, -69, 7, -25, 71, 77, 98]

Pass 2:
  Compare -47 and 46
  No swap needed
  Compare 46 and -88
  Swap 46 and -88
  List after swap: [-47, -88, 46, 68, -69, 7, -25, 71, 77, 98]
  Compare 46 and 68
  No swap needed
  Compare 68 and -69
  Swap 68 and -69
  List after swap: [-47, -88, 46, -69, 68, 7, -25, 71, 77, 98]
  Compare 68 and 7
  Swap 68 and 7
  List after swap: [-47, -88, 46, -69, 7, 68, -25, 71, 77, 98]
  Compare 68 and -25
  Swap 68 and -25
  List after swap: [-47, -88, 46, -69, 7, -25, 68, 71, 77, 98]
  Compare 68 and 71
  No swap needed
  Compare 71 and 77
  No swap needed

Pass 3:
  Compare -47 and -88
  Swap -47 and -88
  List after swap: [-88, -47, 46, -69, 7, -25, 68, 71, 77, 98]
  Compare -47 and 46
  No swap needed
  Compare 46 and -69
  Swap 46 and -69
  List after swap: [-88, -47, -69, 46, 7, -25, 68, 71, 77, 98]
  Compare 46 and 7
  Swap 46 and 7
  List after swap: [-88, -47, -69, 7, 46, -25, 68, 71, 77, 98]
  Compare 46 and -25
  Swap 46 and -25
  List after swap: [-88, -47, -69, 7, -25, 46, 68, 71, 77, 98]
  Compare 46 and 68
  No swap needed
  Compare 68 and 71
  No swap needed

Pass 4:
  Compare -88 and -47
  No swap needed
  Compare -47 and -69
  Swap -47 and -69
  List after swap: [-88, -69, -47, 7, -25, 46, 68, 71, 77, 98]
  Compare -47 and 7
  No swap needed
  Compare 7 and -25
  Swap 7 and -25
  List after swap: [-88, -69, -47, -25, 7, 46, 68, 71, 77, 98]
  Compare 7 and 46
  No swap needed
  Compare 46 and 68
  No swap needed

Pass 5:
  Compare -88 and -69
  No swap needed
  Compare -69 and -47
  No swap needed
  Compare -47 and -25
  No swap needed
  Compare -25 and 7
  No swap needed
  Compare 7 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -69, -47, -25, 7, 46, 68, 71, 77, 98]
</think>

<response>-88, -69, -47, -25, 7, 46, 68, 71, 77, 98</response>


input: Sort these integers -8, -45, 49, -41, 64, 71, 1, 4 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-8, -45, 49, -41, 64, 71, 1, 4]

Pass 1:
  Compare -8 and -45
  Swap -8 and -45
  List after swap: [-45, -8, 49, -41, 64, 71, 1, 4]
  Compare -8 and 49
  No swap needed
  Compare 49 and -41
  Swap 49 and -41
  List after swap: [-45, -8, -41, 49, 64, 71, 1, 4]
  Compare 49 and 64
  No swap needed
  Compare 64 and 71
  No swap needed
  Compare 71 and 1
  Swap 71 and 1
  List after swap: [-45, -8, -41, 49, 64, 1, 71, 4]
  Compare 71 and 4
  Swap 71 and 4
  List after swap: [-45, -8, -41, 49, 64, 1, 4, 71]

Pass 2:
  Compare -45 and -8
  No swap needed
  Compare -8 and -41
  Swap -8 and -41
  List after swap: [-45, -41, -8, 49, 64, 1, 4, 71]
  Compare -8 and 49
  No swap needed
  Compare 49 and 64
  No swap needed
  Compare 64 and 1
  Swap 64 and 1
  List after swap: [-45, -41, -8, 49, 1, 64, 4, 71]
  Compare 64 and 4
  Swap 64 and 4
  List after swap: [-45, -41, -8, 49, 1, 4, 64, 71]

Pass 3:
  Compare -45 and -41
  No swap needed
  Compare -41 and -8
  No swap needed
  Compare -8 and 49
  No swap needed
  Compare 49 and 1
  Swap 49 and 1
  List after swap: [-45, -41, -8, 1, 49, 4, 64, 71]
  Compare 49 and 4
  Swap 49 and 4
  List after swap: [-45, -41, -8, 1, 4, 49, 64, 71]

Pass 4:
  Compare -45 and -41
  No swap needed
  Compare -41 and -8
  No swap needed
  Compare -8 and 1
  No swap needed
  Compare 1 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -41, -8, 1, 4, 49, 64, 71]
</think>

<response>-45, -41, -8, 1, 4, 49, 64, 71</response>


input: Execute bubble sort to sort 17, 55, 54, -16, 29, -93, -3, -26 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [17, 55, 54, -16, 29, -93, -3, -26]

Pass 1:
  Compare 17 and 55
  No swap needed
  Compare 55 and 54
  Swap 55 and 54
  List after swap: [17, 54, 55, -16, 29, -93, -3, -26]
  Compare 55 and -16
  Swap 55 and -16
  List after swap: [17, 54, -16, 55, 29, -93, -3, -26]
  Compare 55 and 29
  Swap 55 and 29
  List after swap: [17, 54, -16, 29, 55, -93, -3, -26]
  Compare 55 and -93
  Swap 55 and -93
  List after swap: [17, 54, -16, 29, -93, 55, -3, -26]
  Compare 55 and -3
  Swap 55 and -3
  List after swap: [17, 54, -16, 29, -93, -3, 55, -26]
  Compare 55 and -26
  Swap 55 and -26
  List after swap: [17, 54, -16, 29, -93, -3, -26, 55]

Pass 2:
  Compare 17 and 54
  No swap needed
  Compare 54 and -16
  Swap 54 and -16
  List after swap: [17, -16, 54, 29, -93, -3, -26, 55]
  Compare 54 and 29
  Swap 54 and 29
  List after swap: [17, -16, 29, 54, -93, -3, -26, 55]
  Compare 54 and -93
  Swap 54 and -93
  List after swap: [17, -16, 29, -93, 54, -3, -26, 55]
  Compare 54 and -3
  Swap 54 and -3
  List after swap: [17, -16, 29, -93, -3, 54, -26, 55]
  Compare 54 and -26
  Swap 54 and -26
  List after swap: [17, -16, 29, -93, -3, -26, 54, 55]

Pass 3:
  Compare 17 and -16
  Swap 17 and -16
  List after swap: [-16, 17, 29, -93, -3, -26, 54, 55]
  Compare 17 and 29
  No swap needed
  Compare 29 and -93
  Swap 29 and -93
  List after swap: [-16, 17, -93, 29, -3, -26, 54, 55]
  Compare 29 and -3
  Swap 29 and -3
  List after swap: [-16, 17, -93, -3, 29, -26, 54, 55]
  Compare 29 and -26
  Swap 29 and -26
  List after swap: [-16, 17, -93, -3, -26, 29, 54, 55]

Pass 4:
  Compare -16 and 17
  No swap needed
  Compare 17 and -93
  Swap 17 and -93
  List after swap: [-16, -93, 17, -3, -26, 29, 54, 55]
  Compare 17 and -3
  Swap 17 and -3
  List after swap: [-16, -93, -3, 17, -26, 29, 54, 55]
  Compare 17 and -26
  Swap 17 and -26
  List after swap: [-16, -93, -3, -26, 17, 29, 54, 55]

Pass 5:
  Compare -16 and -93
  Swap -16 and -93
  List after swap: [-93, -16, -3, -26, 17, 29, 54, 55]
  Compare -16 and -3
  No swap needed
  Compare -3 and -26
  Swap -3 and -26
  List after swap: [-93, -16, -26, -3, 17, 29, 54, 55]

Pass 6:
  Compare -93 and -16
  No swap needed
  Compare -16 and -26
  Swap -16 and -26
  List after swap: [-93, -26, -16, -3, 17, 29, 54, 55]

Pass 7:
  Compare -93 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -26, -16, -3, 17, 29, 54, 55]
</think>

<response>-93, -26, -16, -3, 17, 29, 54, 55</response>


input: Perform a bubble sort on the integers -62, 30, 66, 70, -80, 39, 46, -8, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-62, 30, 66, 70, -80, 39, 46, -8]

Pass 1:
  Compare -62 and 30
  No swap needed
  Compare 30 and 66
  No swap needed
  Compare 66 and 70
  No swap needed
  Compare 70 and -80
  Swap 70 and -80
  List after swap: [-62, 30, 66, -80, 70, 39, 46, -8]
  Compare 70 and 39
  Swap 70 and 39
  List after swap: [-62, 30, 66, -80, 39, 70, 46, -8]
  Compare 70 and 46
  Swap 70 and 46
  List after swap: [-62, 30, 66, -80, 39, 46, 70, -8]
  Compare 70 and -8
  Swap 70 and -8
  List after swap: [-62, 30, 66, -80, 39, 46, -8, 70]

Pass 2:
  Compare -62 and 30
  No swap needed
  Compare 30 and 66
  No swap needed
  Compare 66 and -80
  Swap 66 and -80
  List after swap: [-62, 30, -80, 66, 39, 46, -8, 70]
  Compare 66 and 39
  Swap 66 and 39
  List after swap: [-62, 30, -80, 39, 66, 46, -8, 70]
  Compare 66 and 46
  Swap 66 and 46
  List after swap: [-62, 30, -80, 39, 46, 66, -8, 70]
  Compare 66 and -8
  Swap 66 and -8
  List after swap: [-62, 30, -80, 39, 46, -8, 66, 70]

Pass 3:
  Compare -62 and 30
  No swap needed
  Compare 30 and -80
  Swap 30 and -80
  List after swap: [-62, -80, 30, 39, 46, -8, 66, 70]
  Compare 30 and 39
  No swap needed
  Compare 39 and 46
  No swap needed
  Compare 46 and -8
  Swap 46 and -8
  List after swap: [-62, -80, 30, 39, -8, 46, 66, 70]

Pass 4:
  Compare -62 and -80
  Swap -62 and -80
  List after swap: [-80, -62, 30, 39, -8, 46, 66, 70]
  Compare -62 and 30
  No swap needed
  Compare 30 and 39
  No swap needed
  Compare 39 and -8
  Swap 39 and -8
  List after swap: [-80, -62, 30, -8, 39, 46, 66, 70]

Pass 5:
  Compare -80 and -62
  No swap needed
  Compare -62 and 30
  No swap needed
  Compare 30 and -8
  Swap 30 and -8
  List after swap: [-80, -62, -8, 30, 39, 46, 66, 70]

Pass 6:
  Compare -80 and -62
  No swap needed
  Compare -62 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -62, -8, 30, 39, 46, 66, 70]
</think>

<response>-80, -62, -8, 30, 39, 46, 66, 70</response>


input: Perform a bubble sort on the integers -29, -8, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-29, -8]

Pass 1:
  Compare -29 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, -8]
</think>

<response>-29, -8</response>


input: Using the bubble sort method, sort -67, -8, 69, -43, -78, -96, -71 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-67, -8, 69, -43, -78, -96, -71]

Pass 1:
  Compare -67 and -8
  No swap needed
  Compare -8 and 69
  No swap needed
  Compare 69 and -43
  Swap 69 and -43
  List after swap: [-67, -8, -43, 69, -78, -96, -71]
  Compare 69 and -78
  Swap 69 and -78
  List after swap: [-67, -8, -43, -78, 69, -96, -71]
  Compare 69 and -96
  Swap 69 and -96
  List after swap: [-67, -8, -43, -78, -96, 69, -71]
  Compare 69 and -71
  Swap 69 and -71
  List after swap: [-67, -8, -43, -78, -96, -71, 69]

Pass 2:
  Compare -67 and -8
  No swap needed
  Compare -8 and -43
  Swap -8 and -43
  List after swap: [-67, -43, -8, -78, -96, -71, 69]
  Compare -8 and -78
  Swap -8 and -78
  List after swap: [-67, -43, -78, -8, -96, -71, 69]
  Compare -8 and -96
  Swap -8 and -96
  List after swap: [-67, -43, -78, -96, -8, -71, 69]
  Compare -8 and -71
  Swap -8 and -71
  List after swap: [-67, -43, -78, -96, -71, -8, 69]

Pass 3:
  Compare -67 and -43
  No swap needed
  Compare -43 and -78
  Swap -43 and -78
  List after swap: [-67, -78, -43, -96, -71, -8, 69]
  Compare -43 and -96
  Swap -43 and -96
  List after swap: [-67, -78, -96, -43, -71, -8, 69]
  Compare -43 and -71
  Swap -43 and -71
  List after swap: [-67, -78, -96, -71, -43, -8, 69]

Pass 4:
  Compare -67 and -78
  Swap -67 and -78
  List after swap: [-78, -67, -96, -71, -43, -8, 69]
  Compare -67 and -96
  Swap -67 and -96
  List after swap: [-78, -96, -67, -71, -43, -8, 69]
  Compare -67 and -71
  Swap -67 and -71
  List after swap: [-78, -96, -71, -67, -43, -8, 69]

Pass 5:
  Compare -78 and -96
  Swap -78 and -96
  List after swap: [-96, -78, -71, -67, -43, -8, 69]
  Compare -78 and -71
  No swap needed

Pass 6:
  Compare -96 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -78, -71, -67, -43, -8, 69]
</think>

<response>-96, -78, -71, -67, -43, -8, 69</response>


input: Using the bubble sort method, sort -89, -13, -58, 41, 55, 57, 92 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-89, -13, -58, 41, 55, 57, 92]

Pass 1:
  Compare -89 and -13
  No swap needed
  Compare -13 and -58
  Swap -13 and -58
  List after swap: [-89, -58, -13, 41, 55, 57, 92]
  Compare -13 and 41
  No swap needed
  Compare 41 and 55
  No swap needed
  Compare 55 and 57
  No swap needed
  Compare 57 and 92
  No swap needed

Pass 2:
  Compare -89 and -58
  No swap needed
  Compare -58 and -13
  No swap needed
  Compare -13 and 41
  No swap needed
  Compare 41 and 55
  No swap needed
  Compare 55 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -58, -13, 41, 55, 57, 92]
</think>

<response>-89, -58, -13, 41, 55, 57, 92</response>


input: Arrange the numbers -24, 49, -88, -13, 50, -23, -4, 33, -38 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-24, 49, -88, -13, 50, -23, -4, 33, -38]

Pass 1:
  Compare -24 and 49
  No swap needed
  Compare 49 and -88
  Swap 49 and -88
  List after swap: [-24, -88, 49, -13, 50, -23, -4, 33, -38]
  Compare 49 and -13
  Swap 49 and -13
  List after swap: [-24, -88, -13, 49, 50, -23, -4, 33, -38]
  Compare 49 and 50
  No swap needed
  Compare 50 and -23
  Swap 50 and -23
  List after swap: [-24, -88, -13, 49, -23, 50, -4, 33, -38]
  Compare 50 and -4
  Swap 50 and -4
  List after swap: [-24, -88, -13, 49, -23, -4, 50, 33, -38]
  Compare 50 and 33
  Swap 50 and 33
  List after swap: [-24, -88, -13, 49, -23, -4, 33, 50, -38]
  Compare 50 and -38
  Swap 50 and -38
  List after swap: [-24, -88, -13, 49, -23, -4, 33, -38, 50]

Pass 2:
  Compare -24 and -88
  Swap -24 and -88
  List after swap: [-88, -24, -13, 49, -23, -4, 33, -38, 50]
  Compare -24 and -13
  No swap needed
  Compare -13 and 49
  No swap needed
  Compare 49 and -23
  Swap 49 and -23
  List after swap: [-88, -24, -13, -23, 49, -4, 33, -38, 50]
  Compare 49 and -4
  Swap 49 and -4
  List after swap: [-88, -24, -13, -23, -4, 49, 33, -38, 50]
  Compare 49 and 33
  Swap 49 and 33
  List after swap: [-88, -24, -13, -23, -4, 33, 49, -38, 50]
  Compare 49 and -38
  Swap 49 and -38
  List after swap: [-88, -24, -13, -23, -4, 33, -38, 49, 50]

Pass 3:
  Compare -88 and -24
  No swap needed
  Compare -24 and -13
  No swap needed
  Compare -13 and -23
  Swap -13 and -23
  List after swap: [-88, -24, -23, -13, -4, 33, -38, 49, 50]
  Compare -13 and -4
  No swap needed
  Compare -4 and 33
  No swap needed
  Compare 33 and -38
  Swap 33 and -38
  List after swap: [-88, -24, -23, -13, -4, -38, 33, 49, 50]

Pass 4:
  Compare -88 and -24
  No swap needed
  Compare -24 and -23
  No swap needed
  Compare -23 and -13
  No swap needed
  Compare -13 and -4
  No swap needed
  Compare -4 and -38
  Swap -4 and -38
  List after swap: [-88, -24, -23, -13, -38, -4, 33, 49, 50]

Pass 5:
  Compare -88 and -24
  No swap needed
  Compare -24 and -23
  No swap needed
  Compare -23 and -13
  No swap needed
  Compare -13 and -38
  Swap -13 and -38
  List after swap: [-88, -24, -23, -38, -13, -4, 33, 49, 50]

Pass 6:
  Compare -88 and -24
  No swap needed
  Compare -24 and -23
  No swap needed
  Compare -23 and -38
  Swap -23 and -38
  List after swap: [-88, -24, -38, -23, -13, -4, 33, 49, 50]

Pass 7:
  Compare -88 and -24
  No swap needed
  Compare -24 and -38
  Swap -24 and -38
  List after swap: [-88, -38, -24, -23, -13, -4, 33, 49, 50]

Pass 8:
  Compare -88 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -38, -24, -23, -13, -4, 33, 49, 50]
</think>

<response>-88, -38, -24, -23, -13, -4, 33, 49, 50</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -38, -17, 28, 3, -65, -12, 9.

output:
<think>
Initial list: [-38, -17, 28, 3, -65, -12, 9]

Pass 1:
  Compare -38 and -17
  No swap needed
  Compare -17 and 28
  No swap needed
  Compare 28 and 3
  Swap 28 and 3
  List after swap: [-38, -17, 3, 28, -65, -12, 9]
  Compare 28 and -65
  Swap 28 and -65
  List after swap: [-38, -17, 3, -65, 28, -12, 9]
  Compare 28 and -12
  Swap 28 and -12
  List after swap: [-38, -17, 3, -65, -12, 28, 9]
  Compare 28 and 9
  Swap 28 and 9
  List after swap: [-38, -17, 3, -65, -12, 9, 28]

Pass 2:
  Compare -38 and -17
  No swap needed
  Compare -17 and 3
  No swap needed
  Compare 3 and -65
  Swap 3 and -65
  List after swap: [-38, -17, -65, 3, -12, 9, 28]
  Compare 3 and -12
  Swap 3 and -12
  List after swap: [-38, -17, -65, -12, 3, 9, 28]
  Compare 3 and 9
  No swap needed

Pass 3:
  Compare -38 and -17
  No swap needed
  Compare -17 and -65
  Swap -17 and -65
  List after swap: [-38, -65, -17, -12, 3, 9, 28]
  Compare -17 and -12
  No swap needed
  Compare -12 and 3
  No swap needed

Pass 4:
  Compare -38 and -65
  Swap -38 and -65
  List after swap: [-65, -38, -17, -12, 3, 9, 28]
  Compare -38 and -17
  No swap needed
  Compare -17 and -12
  No swap needed

Pass 5:
  Compare -65 and -38
  No swap needed
  Compare -38 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -38, -17, -12, 3, 9, 28]
</think>

<response>-65, -38, -17, -12, 3, 9, 28</response>


input: Carry out the bubble sort algorithm on 39, 55, 13, 14, 95, 64 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [39, 55, 13, 14, 95, 64]

Pass 1:
  Compare 39 and 55
  No swap needed
  Compare 55 and 13
  Swap 55 and 13
  List after swap: [39, 13, 55, 14, 95, 64]
  Compare 55 and 14
  Swap 55 and 14
  List after swap: [39, 13, 14, 55, 95, 64]
  Compare 55 and 95
  No swap needed
  Compare 95 and 64
  Swap 95 and 64
  List after swap: [39, 13, 14, 55, 64, 95]

Pass 2:
  Compare 39 and 13
  Swap 39 and 13
  List after swap: [13, 39, 14, 55, 64, 95]
  Compare 39 and 14
  Swap 39 and 14
  List after swap: [13, 14, 39, 55, 64, 95]
  Compare 39 and 55
  No swap needed
  Compare 55 and 64
  No swap needed

Pass 3:
  Compare 13 and 14
  No swap needed
  Compare 14 and 39
  No swap needed
  Compare 39 and 55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [13, 14, 39, 55, 64, 95]
</think>

<response>13, 14, 39, 55, 64, 95</response>


input: Sort the list 26, 37, 25, -76, 50, -83, 64, -42, 48, 75 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [26, 37, 25, -76, 50, -83, 64, -42, 48, 75]

Pass 1:
  Compare 26 and 37
  No swap needed
  Compare 37 and 25
  Swap 37 and 25
  List after swap: [26, 25, 37, -76, 50, -83, 64, -42, 48, 75]
  Compare 37 and -76
  Swap 37 and -76
  List after swap: [26, 25, -76, 37, 50, -83, 64, -42, 48, 75]
  Compare 37 and 50
  No swap needed
  Compare 50 and -83
  Swap 50 and -83
  List after swap: [26, 25, -76, 37, -83, 50, 64, -42, 48, 75]
  Compare 50 and 64
  No swap needed
  Compare 64 and -42
  Swap 64 and -42
  List after swap: [26, 25, -76, 37, -83, 50, -42, 64, 48, 75]
  Compare 64 and 48
  Swap 64 and 48
  List after swap: [26, 25, -76, 37, -83, 50, -42, 48, 64, 75]
  Compare 64 and 75
  No swap needed

Pass 2:
  Compare 26 and 25
  Swap 26 and 25
  List after swap: [25, 26, -76, 37, -83, 50, -42, 48, 64, 75]
  Compare 26 and -76
  Swap 26 and -76
  List after swap: [25, -76, 26, 37, -83, 50, -42, 48, 64, 75]
  Compare 26 and 37
  No swap needed
  Compare 37 and -83
  Swap 37 and -83
  List after swap: [25, -76, 26, -83, 37, 50, -42, 48, 64, 75]
  Compare 37 and 50
  No swap needed
  Compare 50 and -42
  Swap 50 and -42
  List after swap: [25, -76, 26, -83, 37, -42, 50, 48, 64, 75]
  Compare 50 and 48
  Swap 50 and 48
  List after swap: [25, -76, 26, -83, 37, -42, 48, 50, 64, 75]
  Compare 50 and 64
  No swap needed

Pass 3:
  Compare 25 and -76
  Swap 25 and -76
  List after swap: [-76, 25, 26, -83, 37, -42, 48, 50, 64, 75]
  Compare 25 and 26
  No swap needed
  Compare 26 and -83
  Swap 26 and -83
  List after swap: [-76, 25, -83, 26, 37, -42, 48, 50, 64, 75]
  Compare 26 and 37
  No swap needed
  Compare 37 and -42
  Swap 37 and -42
  List after swap: [-76, 25, -83, 26, -42, 37, 48, 50, 64, 75]
  Compare 37 and 48
  No swap needed
  Compare 48 and 50
  No swap needed

Pass 4:
  Compare -76 and 25
  No swap needed
  Compare 25 and -83
  Swap 25 and -83
  List after swap: [-76, -83, 25, 26, -42, 37, 48, 50, 64, 75]
  Compare 25 and 26
  No swap needed
  Compare 26 and -42
  Swap 26 and -42
  List after swap: [-76, -83, 25, -42, 26, 37, 48, 50, 64, 75]
  Compare 26 and 37
  No swap needed
  Compare 37 and 48
  No swap needed

Pass 5:
  Compare -76 and -83
  Swap -76 and -83
  List after swap: [-83, -76, 25, -42, 26, 37, 48, 50, 64, 75]
  Compare -76 and 25
  No swap needed
  Compare 25 and -42
  Swap 25 and -42
  List after swap: [-83, -76, -42, 25, 26, 37, 48, 50, 64, 75]
  Compare 25 and 26
  No swap needed
  Compare 26 and 37
  No swap needed

Pass 6:
  Compare -83 and -76
  No swap needed
  Compare -76 and -42
  No swap needed
  Compare -42 and 25
  No swap needed
  Compare 25 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -76, -42, 25, 26, 37, 48, 50, 64, 75]
</think>

<response>-83, -76, -42, 25, 26, 37, 48, 50, 64, 75</response>


input: Using the bubble sort method, sort 98, 30, 74, 37, -25, -48, -30 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [98, 30, 74, 37, -25, -48, -30]

Pass 1:
  Compare 98 and 30
  Swap 98 and 30
  List after swap: [30, 98, 74, 37, -25, -48, -30]
  Compare 98 and 74
  Swap 98 and 74
  List after swap: [30, 74, 98, 37, -25, -48, -30]
  Compare 98 and 37
  Swap 98 and 37
  List after swap: [30, 74, 37, 98, -25, -48, -30]
  Compare 98 and -25
  Swap 98 and -25
  List after swap: [30, 74, 37, -25, 98, -48, -30]
  Compare 98 and -48
  Swap 98 and -48
  List after swap: [30, 74, 37, -25, -48, 98, -30]
  Compare 98 and -30
  Swap 98 and -30
  List after swap: [30, 74, 37, -25, -48, -30, 98]

Pass 2:
  Compare 30 and 74
  No swap needed
  Compare 74 and 37
  Swap 74 and 37
  List after swap: [30, 37, 74, -25, -48, -30, 98]
  Compare 74 and -25
  Swap 74 and -25
  List after swap: [30, 37, -25, 74, -48, -30, 98]
  Compare 74 and -48
  Swap 74 and -48
  List after swap: [30, 37, -25, -48, 74, -30, 98]
  Compare 74 and -30
  Swap 74 and -30
  List after swap: [30, 37, -25, -48, -30, 74, 98]

Pass 3:
  Compare 30 and 37
  No swap needed
  Compare 37 and -25
  Swap 37 and -25
  List after swap: [30, -25, 37, -48, -30, 74, 98]
  Compare 37 and -48
  Swap 37 and -48
  List after swap: [30, -25, -48, 37, -30, 74, 98]
  Compare 37 and -30
  Swap 37 and -30
  List after swap: [30, -25, -48, -30, 37, 74, 98]

Pass 4:
  Compare 30 and -25
  Swap 30 and -25
  List after swap: [-25, 30, -48, -30, 37, 74, 98]
  Compare 30 and -48
  Swap 30 and -48
  List after swap: [-25, -48, 30, -30, 37, 74, 98]
  Compare 30 and -30
  Swap 30 and -30
  List after swap: [-25, -48, -30, 30, 37, 74, 98]

Pass 5:
  Compare -25 and -48
  Swap -25 and -48
  List after swap: [-48, -25, -30, 30, 37, 74, 98]
  Compare -25 and -30
  Swap -25 and -30
  List after swap: [-48, -30, -25, 30, 37, 74, 98]

Pass 6:
  Compare -48 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -30, -25, 30, 37, 74, 98]
</think>

<response>-48, -30, -25, 30, 37, 74, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -2, 5, 51, -18, 12, 70.

output:
<think>
Initial list: [-2, 5, 51, -18, 12, 70]

Pass 1:
  Compare -2 and 5
  No swap needed
  Compare 5 and 51
  No swap needed
  Compare 51 and -18
  Swap 51 and -18
  List after swap: [-2, 5, -18, 51, 12, 70]
  Compare 51 and 12
  Swap 51 and 12
  List after swap: [-2, 5, -18, 12, 51, 70]
  Compare 51 and 70
  No swap needed

Pass 2:
  Compare -2 and 5
  No swap needed
  Compare 5 and -18
  Swap 5 and -18
  List after swap: [-2, -18, 5, 12, 51, 70]
  Compare 5 and 12
  No swap needed
  Compare 12 and 51
  No swap needed

Pass 3:
  Compare -2 and -18
  Swap -2 and -18
  List after swap: [-18, -2, 5, 12, 51, 70]
  Compare -2 and 5
  No swap needed
  Compare 5 and 12
  No swap needed

Pass 4:
  Compare -18 and -2
  No swap needed
  Compare -2 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-18, -2, 5, 12, 51, 70]
</think>

<response>-18, -2, 5, 12, 51, 70</response>


input: Using the bubble sort method, sort 84, -24, -62, 55, 83, -77, 53, 38 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [84, -24, -62, 55, 83, -77, 53, 38]

Pass 1:
  Compare 84 and -24
  Swap 84 and -24
  List after swap: [-24, 84, -62, 55, 83, -77, 53, 38]
  Compare 84 and -62
  Swap 84 and -62
  List after swap: [-24, -62, 84, 55, 83, -77, 53, 38]
  Compare 84 and 55
  Swap 84 and 55
  List after swap: [-24, -62, 55, 84, 83, -77, 53, 38]
  Compare 84 and 83
  Swap 84 and 83
  List after swap: [-24, -62, 55, 83, 84, -77, 53, 38]
  Compare 84 and -77
  Swap 84 and -77
  List after swap: [-24, -62, 55, 83, -77, 84, 53, 38]
  Compare 84 and 53
  Swap 84 and 53
  List after swap: [-24, -62, 55, 83, -77, 53, 84, 38]
  Compare 84 and 38
  Swap 84 and 38
  List after swap: [-24, -62, 55, 83, -77, 53, 38, 84]

Pass 2:
  Compare -24 and -62
  Swap -24 and -62
  List after swap: [-62, -24, 55, 83, -77, 53, 38, 84]
  Compare -24 and 55
  No swap needed
  Compare 55 and 83
  No swap needed
  Compare 83 and -77
  Swap 83 and -77
  List after swap: [-62, -24, 55, -77, 83, 53, 38, 84]
  Compare 83 and 53
  Swap 83 and 53
  List after swap: [-62, -24, 55, -77, 53, 83, 38, 84]
  Compare 83 and 38
  Swap 83 and 38
  List after swap: [-62, -24, 55, -77, 53, 38, 83, 84]

Pass 3:
  Compare -62 and -24
  No swap needed
  Compare -24 and 55
  No swap needed
  Compare 55 and -77
  Swap 55 and -77
  List after swap: [-62, -24, -77, 55, 53, 38, 83, 84]
  Compare 55 and 53
  Swap 55 and 53
  List after swap: [-62, -24, -77, 53, 55, 38, 83, 84]
  Compare 55 and 38
  Swap 55 and 38
  List after swap: [-62, -24, -77, 53, 38, 55, 83, 84]

Pass 4:
  Compare -62 and -24
  No swap needed
  Compare -24 and -77
  Swap -24 and -77
  List after swap: [-62, -77, -24, 53, 38, 55, 83, 84]
  Compare -24 and 53
  No swap needed
  Compare 53 and 38
  Swap 53 and 38
  List after swap: [-62, -77, -24, 38, 53, 55, 83, 84]

Pass 5:
  Compare -62 and -77
  Swap -62 and -77
  List after swap: [-77, -62, -24, 38, 53, 55, 83, 84]
  Compare -62 and -24
  No swap needed
  Compare -24 and 38
  No swap needed

Pass 6:
  Compare -77 and -62
  No swap needed
  Compare -62 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -62, -24, 38, 53, 55, 83, 84]
</think>

<response>-77, -62, -24, 38, 53, 55, 83, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -54, -91.

output:
<think>
Initial list: [-54, -91]

Pass 1:
  Compare -54 and -91
  Swap -54 and -91
  List after swap: [-91, -54]

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

Final sorted list: [-91, -54]
</think>

<response>-91, -54</response>


input: Carry out the bubble sort algorithm on 55, 74, 83, 76 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [55, 74, 83, 76]

Pass 1:
  Compare 55 and 74
  No swap needed
  Compare 74 and 83
  No swap needed
  Compare 83 and 76
  Swap 83 and 76
  List after swap: [55, 74, 76, 83]

Pass 2:
  Compare 55 and 74
  No swap needed
  Compare 74 and 76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [55, 74, 76, 83]
</think>

<response>55, 74, 76, 83</response>


input: Sort these integers -16, -62, -24, -51, -27, -75, -80, 13, 93, -46 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-16, -62, -24, -51, -27, -75, -80, 13, 93, -46]

Pass 1:
  Compare -16 and -62
  Swap -16 and -62
  List after swap: [-62, -16, -24, -51, -27, -75, -80, 13, 93, -46]
  Compare -16 and -24
  Swap -16 and -24
  List after swap: [-62, -24, -16, -51, -27, -75, -80, 13, 93, -46]
  Compare -16 and -51
  Swap -16 and -51
  List after swap: [-62, -24, -51, -16, -27, -75, -80, 13, 93, -46]
  Compare -16 and -27
  Swap -16 and -27
  List after swap: [-62, -24, -51, -27, -16, -75, -80, 13, 93, -46]
  Compare -16 and -75
  Swap -16 and -75
  List after swap: [-62, -24, -51, -27, -75, -16, -80, 13, 93, -46]
  Compare -16 and -80
  Swap -16 and -80
  List after swap: [-62, -24, -51, -27, -75, -80, -16, 13, 93, -46]
  Compare -16 and 13
  No swap needed
  Compare 13 and 93
  No swap needed
  Compare 93 and -46
  Swap 93 and -46
  List after swap: [-62, -24, -51, -27, -75, -80, -16, 13, -46, 93]

Pass 2:
  Compare -62 and -24
  No swap needed
  Compare -24 and -51
  Swap -24 and -51
  List after swap: [-62, -51, -24, -27, -75, -80, -16, 13, -46, 93]
  Compare -24 and -27
  Swap -24 and -27
  List after swap: [-62, -51, -27, -24, -75, -80, -16, 13, -46, 93]
  Compare -24 and -75
  Swap -24 and -75
  List after swap: [-62, -51, -27, -75, -24, -80, -16, 13, -46, 93]
  Compare -24 and -80
  Swap -24 and -80
  List after swap: [-62, -51, -27, -75, -80, -24, -16, 13, -46, 93]
  Compare -24 and -16
  No swap needed
  Compare -16 and 13
  No swap needed
  Compare 13 and -46
  Swap 13 and -46
  List after swap: [-62, -51, -27, -75, -80, -24, -16, -46, 13, 93]

Pass 3:
  Compare -62 and -51
  No swap needed
  Compare -51 and -27
  No swap needed
  Compare -27 and -75
  Swap -27 and -75
  List after swap: [-62, -51, -75, -27, -80, -24, -16, -46, 13, 93]
  Compare -27 and -80
  Swap -27 and -80
  List after swap: [-62, -51, -75, -80, -27, -24, -16, -46, 13, 93]
  Compare -27 and -24
  No swap needed
  Compare -24 and -16
  No swap needed
  Compare -16 and -46
  Swap -16 and -46
  List after swap: [-62, -51, -75, -80, -27, -24, -46, -16, 13, 93]

Pass 4:
  Compare -62 and -51
  No swap needed
  Compare -51 and -75
  Swap -51 and -75
  List after swap: [-62, -75, -51, -80, -27, -24, -46, -16, 13, 93]
  Compare -51 and -80
  Swap -51 and -80
  List after swap: [-62, -75, -80, -51, -27, -24, -46, -16, 13, 93]
  Compare -51 and -27
  No swap needed
  Compare -27 and -24
  No swap needed
  Compare -24 and -46
  Swap -24 and -46
  List after swap: [-62, -75, -80, -51, -27, -46, -24, -16, 13, 93]

Pass 5:
  Compare -62 and -75
  Swap -62 and -75
  List after swap: [-75, -62, -80, -51, -27, -46, -24, -16, 13, 93]
  Compare -62 and -80
  Swap -62 and -80
  List after swap: [-75, -80, -62, -51, -27, -46, -24, -16, 13, 93]
  Compare -62 and -51
  No swap needed
  Compare -51 and -27
  No swap needed
  Compare -27 and -46
  Swap -27 and -46
  List after swap: [-75, -80, -62, -51, -46, -27, -24, -16, 13, 93]

Pass 6:
  Compare -75 and -80
  Swap -75 and -80
  List after swap: [-80, -75, -62, -51, -46, -27, -24, -16, 13, 93]
  Compare -75 and -62
  No swap needed
  Compare -62 and -51
  No swap needed
  Compare -51 and -46
  No swap needed

Pass 7:
  Compare -80 and -75
  No swap needed
  Compare -75 and -62
  No swap needed
  Compare -62 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -75, -62, -51, -46, -27, -24, -16, 13, 93]
</think>

<response>-80, -75, -62, -51, -46, -27, -24, -16, 13, 93</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 70, -51, 14, -67, -38, -17, 98.

output:
<think>
Initial list: [70, -51, 14, -67, -38, -17, 98]

Pass 1:
  Compare 70 and -51
  Swap 70 and -51
  List after swap: [-51, 70, 14, -67, -38, -17, 98]
  Compare 70 and 14
  Swap 70 and 14
  List after swap: [-51, 14, 70, -67, -38, -17, 98]
  Compare 70 and -67
  Swap 70 and -67
  List after swap: [-51, 14, -67, 70, -38, -17, 98]
  Compare 70 and -38
  Swap 70 and -38
  List after swap: [-51, 14, -67, -38, 70, -17, 98]
  Compare 70 and -17
  Swap 70 and -17
  List after swap: [-51, 14, -67, -38, -17, 70, 98]
  Compare 70 and 98
  No swap needed

Pass 2:
  Compare -51 and 14
  No swap needed
  Compare 14 and -67
  Swap 14 and -67
  List after swap: [-51, -67, 14, -38, -17, 70, 98]
  Compare 14 and -38
  Swap 14 and -38
  List after swap: [-51, -67, -38, 14, -17, 70, 98]
  Compare 14 and -17
  Swap 14 and -17
  List after swap: [-51, -67, -38, -17, 14, 70, 98]
  Compare 14 and 70
  No swap needed

Pass 3:
  Compare -51 and -67
  Swap -51 and -67
  List after swap: [-67, -51, -38, -17, 14, 70, 98]
  Compare -51 and -38
  No swap needed
  Compare -38 and -17
  No swap needed
  Compare -17 and 14
  No swap needed

Pass 4:
  Compare -67 and -51
  No swap needed
  Compare -51 and -38
  No swap needed
  Compare -38 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -51, -38, -17, 14, 70, 98]
</think>

<response>-67, -51, -38, -17, 14, 70, 98</response>


input: Carry out the bubble sort algorithm on 36, 1, -52, -19, -36 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [36, 1, -52, -19, -36]

Pass 1:
  Compare 36 and 1
  Swap 36 and 1
  List after swap: [1, 36, -52, -19, -36]
  Compare 36 and -52
  Swap 36 and -52
  List after swap: [1, -52, 36, -19, -36]
  Compare 36 and -19
  Swap 36 and -19
  List after swap: [1, -52, -19, 36, -36]
  Compare 36 and -36
  Swap 36 and -36
  List after swap: [1, -52, -19, -36, 36]

Pass 2:
  Compare 1 and -52
  Swap 1 and -52
  List after swap: [-52, 1, -19, -36, 36]
  Compare 1 and -19
  Swap 1 and -19
  List after swap: [-52, -19, 1, -36, 36]
  Compare 1 and -36
  Swap 1 and -36
  List after swap: [-52, -19, -36, 1, 36]

Pass 3:
  Compare -52 and -19
  No swap needed
  Compare -19 and -36
  Swap -19 and -36
  List after swap: [-52, -36, -19, 1, 36]

Pass 4:
  Compare -52 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -36, -19, 1, 36]
</think>

<response>-52, -36, -19, 1, 36</response>


input: Implement bubble sort on -24, -19, 61, -85, 85, -99, 21, 89, -22, 90 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-24, -19, 61, -85, 85, -99, 21, 89, -22, 90]

Pass 1:
  Compare -24 and -19
  No swap needed
  Compare -19 and 61
  No swap needed
  Compare 61 and -85
  Swap 61 and -85
  List after swap: [-24, -19, -85, 61, 85, -99, 21, 89, -22, 90]
  Compare 61 and 85
  No swap needed
  Compare 85 and -99
  Swap 85 and -99
  List after swap: [-24, -19, -85, 61, -99, 85, 21, 89, -22, 90]
  Compare 85 and 21
  Swap 85 and 21
  List after swap: [-24, -19, -85, 61, -99, 21, 85, 89, -22, 90]
  Compare 85 and 89
  No swap needed
  Compare 89 and -22
  Swap 89 and -22
  List after swap: [-24, -19, -85, 61, -99, 21, 85, -22, 89, 90]
  Compare 89 and 90
  No swap needed

Pass 2:
  Compare -24 and -19
  No swap needed
  Compare -19 and -85
  Swap -19 and -85
  List after swap: [-24, -85, -19, 61, -99, 21, 85, -22, 89, 90]
  Compare -19 and 61
  No swap needed
  Compare 61 and -99
  Swap 61 and -99
  List after swap: [-24, -85, -19, -99, 61, 21, 85, -22, 89, 90]
  Compare 61 and 21
  Swap 61 and 21
  List after swap: [-24, -85, -19, -99, 21, 61, 85, -22, 89, 90]
  Compare 61 and 85
  No swap needed
  Compare 85 and -22
  Swap 85 and -22
  List after swap: [-24, -85, -19, -99, 21, 61, -22, 85, 89, 90]
  Compare 85 and 89
  No swap needed

Pass 3:
  Compare -24 and -85
  Swap -24 and -85
  List after swap: [-85, -24, -19, -99, 21, 61, -22, 85, 89, 90]
  Compare -24 and -19
  No swap needed
  Compare -19 and -99
  Swap -19 and -99
  List after swap: [-85, -24, -99, -19, 21, 61, -22, 85, 89, 90]
  Compare -19 and 21
  No swap needed
  Compare 21 and 61
  No swap needed
  Compare 61 and -22
  Swap 61 and -22
  List after swap: [-85, -24, -99, -19, 21, -22, 61, 85, 89, 90]
  Compare 61 and 85
  No swap needed

Pass 4:
  Compare -85 and -24
  No swap needed
  Compare -24 and -99
  Swap -24 and -99
  List after swap: [-85, -99, -24, -19, 21, -22, 61, 85, 89, 90]
  Compare -24 and -19
  No swap needed
  Compare -19 and 21
  No swap needed
  Compare 21 and -22
  Swap 21 and -22
  List after swap: [-85, -99, -24, -19, -22, 21, 61, 85, 89, 90]
  Compare 21 and 61
  No swap needed

Pass 5:
  Compare -85 and -99
  Swap -85 and -99
  List after swap: [-99, -85, -24, -19, -22, 21, 61, 85, 89, 90]
  Compare -85 and -24
  No swap needed
  Compare -24 and -19
  No swap needed
  Compare -19 and -22
  Swap -19 and -22
  List after swap: [-99, -85, -24, -22, -19, 21, 61, 85, 89, 90]
  Compare -19 and 21
  No swap needed

Pass 6:
  Compare -99 and -85
  No swap needed
  Compare -85 and -24
  No swap needed
  Compare -24 and -22
  No swap needed
  Compare -22 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -85, -24, -22, -19, 21, 61, 85, 89, 90]
</think>

<response>-99, -85, -24, -22, -19, 21, 61, 85, 89, 90</response>


input: Demonstrate how bubble sort orders the integers 29, -94, 9, -81, 33, 85, 80, -88, -86 in ascending sequence, showing all steps.

output:
<think>
Initial list: [29, -94, 9, -81, 33, 85, 80, -88, -86]

Pass 1:
  Compare 29 and -94
  Swap 29 and -94
  List after swap: [-94, 29, 9, -81, 33, 85, 80, -88, -86]
  Compare 29 and 9
  Swap 29 and 9
  List after swap: [-94, 9, 29, -81, 33, 85, 80, -88, -86]
  Compare 29 and -81
  Swap 29 and -81
  List after swap: [-94, 9, -81, 29, 33, 85, 80, -88, -86]
  Compare 29 and 33
  No swap needed
  Compare 33 and 85
  No swap needed
  Compare 85 and 80
  Swap 85 and 80
  List after swap: [-94, 9, -81, 29, 33, 80, 85, -88, -86]
  Compare 85 and -88
  Swap 85 and -88
  List after swap: [-94, 9, -81, 29, 33, 80, -88, 85, -86]
  Compare 85 and -86
  Swap 85 and -86
  List after swap: [-94, 9, -81, 29, 33, 80, -88, -86, 85]

Pass 2:
  Compare -94 and 9
  No swap needed
  Compare 9 and -81
  Swap 9 and -81
  List after swap: [-94, -81, 9, 29, 33, 80, -88, -86, 85]
  Compare 9 and 29
  No swap needed
  Compare 29 and 33
  No swap needed
  Compare 33 and 80
  No swap needed
  Compare 80 and -88
  Swap 80 and -88
  List after swap: [-94, -81, 9, 29, 33, -88, 80, -86, 85]
  Compare 80 and -86
  Swap 80 and -86
  List after swap: [-94, -81, 9, 29, 33, -88, -86, 80, 85]

Pass 3:
  Compare -94 and -81
  No swap needed
  Compare -81 and 9
  No swap needed
  Compare 9 and 29
  No swap needed
  Compare 29 and 33
  No swap needed
  Compare 33 and -88
  Swap 33 and -88
  List after swap: [-94, -81, 9, 29, -88, 33, -86, 80, 85]
  Compare 33 and -86
  Swap 33 and -86
  List after swap: [-94, -81, 9, 29, -88, -86, 33, 80, 85]

Pass 4:
  Compare -94 and -81
  No swap needed
  Compare -81 and 9
  No swap needed
  Compare 9 and 29
  No swap needed
  Compare 29 and -88
  Swap 29 and -88
  List after swap: [-94, -81, 9, -88, 29, -86, 33, 80, 85]
  Compare 29 and -86
  Swap 29 and -86
  List after swap: [-94, -81, 9, -88, -86, 29, 33, 80, 85]

Pass 5:
  Compare -94 and -81
  No swap needed
  Compare -81 and 9
  No swap needed
  Compare 9 and -88
  Swap 9 and -88
  List after swap: [-94, -81, -88, 9, -86, 29, 33, 80, 85]
  Compare 9 and -86
  Swap 9 and -86
  List after swap: [-94, -81, -88, -86, 9, 29, 33, 80, 85]

Pass 6:
  Compare -94 and -81
  No swap needed
  Compare -81 and -88
  Swap -81 and -88
  List after swap: [-94, -88, -81, -86, 9, 29, 33, 80, 85]
  Compare -81 and -86
  Swap -81 and -86
  List after swap: [-94, -88, -86, -81, 9, 29, 33, 80, 85]

Pass 7:
  Compare -94 and -88
  No swap needed
  Compare -88 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -88, -86, -81, 9, 29, 33, 80, 85]
</think>

<response>-94, -88, -86, -81, 9, 29, 33, 80, 85</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -45, -40.

output:
<think>
Initial list: [-45, -40]

Pass 1:
  Compare -45 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -40]
</think>

<response>-45, -40</response>


input: Sort these integers 63, -18, 81, -89, -71, 98, 82, 28 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [63, -18, 81, -89, -71, 98, 82, 28]

Pass 1:
  Compare 63 and -18
  Swap 63 and -18
  List after swap: [-18, 63, 81, -89, -71, 98, 82, 28]
  Compare 63 and 81
  No swap needed
  Compare 81 and -89
  Swap 81 and -89
  List after swap: [-18, 63, -89, 81, -71, 98, 82, 28]
  Compare 81 and -71
  Swap 81 and -71
  List after swap: [-18, 63, -89, -71, 81, 98, 82, 28]
  Compare 81 and 98
  No swap needed
  Compare 98 and 82
  Swap 98 and 82
  List after swap: [-18, 63, -89, -71, 81, 82, 98, 28]
  Compare 98 and 28
  Swap 98 and 28
  List after swap: [-18, 63, -89, -71, 81, 82, 28, 98]

Pass 2:
  Compare -18 and 63
  No swap needed
  Compare 63 and -89
  Swap 63 and -89
  List after swap: [-18, -89, 63, -71, 81, 82, 28, 98]
  Compare 63 and -71
  Swap 63 and -71
  List after swap: [-18, -89, -71, 63, 81, 82, 28, 98]
  Compare 63 and 81
  No swap needed
  Compare 81 and 82
  No swap needed
  Compare 82 and 28
  Swap 82 and 28
  List after swap: [-18, -89, -71, 63, 81, 28, 82, 98]

Pass 3:
  Compare -18 and -89
  Swap -18 and -89
  List after swap: [-89, -18, -71, 63, 81, 28, 82, 98]
  Compare -18 and -71
  Swap -18 and -71
  List after swap: [-89, -71, -18, 63, 81, 28, 82, 98]
  Compare -18 and 63
  No swap needed
  Compare 63 and 81
  No swap needed
  Compare 81 and 28
  Swap 81 and 28
  List after swap: [-89, -71, -18, 63, 28, 81, 82, 98]

Pass 4:
  Compare -89 and -71
  No swap needed
  Compare -71 and -18
  No swap needed
  Compare -18 and 63
  No swap needed
  Compare 63 and 28
  Swap 63 and 28
  List after swap: [-89, -71, -18, 28, 63, 81, 82, 98]

Pass 5:
  Compare -89 and -71
  No swap needed
  Compare -71 and -18
  No swap needed
  Compare -18 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -71, -18, 28, 63, 81, 82, 98]
</think>

<response>-89, -71, -18, 28, 63, 81, 82, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 71, -7, -60, -82, 72, 14, 93, 26.

output:
<think>
Initial list: [71, -7, -60, -82, 72, 14, 93, 26]

Pass 1:
  Compare 71 and -7
  Swap 71 and -7
  List after swap: [-7, 71, -60, -82, 72, 14, 93, 26]
  Compare 71 and -60
  Swap 71 and -60
  List after swap: [-7, -60, 71, -82, 72, 14, 93, 26]
  Compare 71 and -82
  Swap 71 and -82
  List after swap: [-7, -60, -82, 71, 72, 14, 93, 26]
  Compare 71 and 72
  No swap needed
  Compare 72 and 14
  Swap 72 and 14
  List after swap: [-7, -60, -82, 71, 14, 72, 93, 26]
  Compare 72 and 93
  No swap needed
  Compare 93 and 26
  Swap 93 and 26
  List after swap: [-7, -60, -82, 71, 14, 72, 26, 93]

Pass 2:
  Compare -7 and -60
  Swap -7 and -60
  List after swap: [-60, -7, -82, 71, 14, 72, 26, 93]
  Compare -7 and -82
  Swap -7 and -82
  List after swap: [-60, -82, -7, 71, 14, 72, 26, 93]
  Compare -7 and 71
  No swap needed
  Compare 71 and 14
  Swap 71 and 14
  List after swap: [-60, -82, -7, 14, 71, 72, 26, 93]
  Compare 71 and 72
  No swap needed
  Compare 72 and 26
  Swap 72 and 26
  List after swap: [-60, -82, -7, 14, 71, 26, 72, 93]

Pass 3:
  Compare -60 and -82
  Swap -60 and -82
  List after swap: [-82, -60, -7, 14, 71, 26, 72, 93]
  Compare -60 and -7
  No swap needed
  Compare -7 and 14
  No swap needed
  Compare 14 and 71
  No swap needed
  Compare 71 and 26
  Swap 71 and 26
  List after swap: [-82, -60, -7, 14, 26, 71, 72, 93]

Pass 4:
  Compare -82 and -60
  No swap needed
  Compare -60 and -7
  No swap needed
  Compare -7 and 14
  No swap needed
  Compare 14 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -60, -7, 14, 26, 71, 72, 93]
</think>

<response>-82, -60, -7, 14, 26, 71, 72, 93</response>


input: Sort the list -79, -100, -95 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-79, -100, -95]

Pass 1:
  Compare -79 and -100
  Swap -79 and -100
  List after swap: [-100, -79, -95]
  Compare -79 and -95
  Swap -79 and -95
  List after swap: [-100, -95, -79]

Pass 2:
  Compare -100 and -95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -95, -79]
</think>

<response>-100, -95, -79</response>


input: Execute bubble sort to sort 27, -95, -44, 19, -19, 76, -82, 70, 44 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [27, -95, -44, 19, -19, 76, -82, 70, 44]

Pass 1:
  Compare 27 and -95
  Swap 27 and -95
  List after swap: [-95, 27, -44, 19, -19, 76, -82, 70, 44]
  Compare 27 and -44
  Swap 27 and -44
  List after swap: [-95, -44, 27, 19, -19, 76, -82, 70, 44]
  Compare 27 and 19
  Swap 27 and 19
  List after swap: [-95, -44, 19, 27, -19, 76, -82, 70, 44]
  Compare 27 and -19
  Swap 27 and -19
  List after swap: [-95, -44, 19, -19, 27, 76, -82, 70, 44]
  Compare 27 and 76
  No swap needed
  Compare 76 and -82
  Swap 76 and -82
  List after swap: [-95, -44, 19, -19, 27, -82, 76, 70, 44]
  Compare 76 and 70
  Swap 76 and 70
  List after swap: [-95, -44, 19, -19, 27, -82, 70, 76, 44]
  Compare 76 and 44
  Swap 76 and 44
  List after swap: [-95, -44, 19, -19, 27, -82, 70, 44, 76]

Pass 2:
  Compare -95 and -44
  No swap needed
  Compare -44 and 19
  No swap needed
  Compare 19 and -19
  Swap 19 and -19
  List after swap: [-95, -44, -19, 19, 27, -82, 70, 44, 76]
  Compare 19 and 27
  No swap needed
  Compare 27 and -82
  Swap 27 and -82
  List after swap: [-95, -44, -19, 19, -82, 27, 70, 44, 76]
  Compare 27 and 70
  No swap needed
  Compare 70 and 44
  Swap 70 and 44
  List after swap: [-95, -44, -19, 19, -82, 27, 44, 70, 76]

Pass 3:
  Compare -95 and -44
  No swap needed
  Compare -44 and -19
  No swap needed
  Compare -19 and 19
  No swap needed
  Compare 19 and -82
  Swap 19 and -82
  List after swap: [-95, -44, -19, -82, 19, 27, 44, 70, 76]
  Compare 19 and 27
  No swap needed
  Compare 27 and 44
  No swap needed

Pass 4:
  Compare -95 and -44
  No swap needed
  Compare -44 and -19
  No swap needed
  Compare -19 and -82
  Swap -19 and -82
  List after swap: [-95, -44, -82, -19, 19, 27, 44, 70, 76]
  Compare -19 and 19
  No swap needed
  Compare 19 and 27
  No swap needed

Pass 5:
  Compare -95 and -44
  No swap needed
  Compare -44 and -82
  Swap -44 and -82
  List after swap: [-95, -82, -44, -19, 19, 27, 44, 70, 76]
  Compare -44 and -19
  No swap needed
  Compare -19 and 19
  No swap needed

Pass 6:
  Compare -95 and -82
  No swap needed
  Compare -82 and -44
  No swap needed
  Compare -44 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -82, -44, -19, 19, 27, 44, 70, 76]
</think>

<response>-95, -82, -44, -19, 19, 27, 44, 70, 76</response>


input: Execute bubble sort to sort 31, 26, 33, 57, 2 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [31, 26, 33, 57, 2]

Pass 1:
  Compare 31 and 26
  Swap 31 and 26
  List after swap: [26, 31, 33, 57, 2]
  Compare 31 and 33
  No swap needed
  Compare 33 and 57
  No swap needed
  Compare 57 and 2
  Swap 57 and 2
  List after swap: [26, 31, 33, 2, 57]

Pass 2:
  Compare 26 and 31
  No swap needed
  Compare 31 and 33
  No swap needed
  Compare 33 and 2
  Swap 33 and 2
  List after swap: [26, 31, 2, 33, 57]

Pass 3:
  Compare 26 and 31
  No swap needed
  Compare 31 and 2
  Swap 31 and 2
  List after swap: [26, 2, 31, 33, 57]

Pass 4:
  Compare 26 and 2
  Swap 26 and 2
  List after swap: [2, 26, 31, 33, 57]

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

Final sorted list: [2, 26, 31, 33, 57]
</think>

<response>2, 26, 31, 33, 57</response>


input: Implement bubble sort on -19, -1, -83, -20, 37, -22, -51, -70, -13 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-19, -1, -83, -20, 37, -22, -51, -70, -13]

Pass 1:
  Compare -19 and -1
  No swap needed
  Compare -1 and -83
  Swap -1 and -83
  List after swap: [-19, -83, -1, -20, 37, -22, -51, -70, -13]
  Compare -1 and -20
  Swap -1 and -20
  List after swap: [-19, -83, -20, -1, 37, -22, -51, -70, -13]
  Compare -1 and 37
  No swap needed
  Compare 37 and -22
  Swap 37 and -22
  List after swap: [-19, -83, -20, -1, -22, 37, -51, -70, -13]
  Compare 37 and -51
  Swap 37 and -51
  List after swap: [-19, -83, -20, -1, -22, -51, 37, -70, -13]
  Compare 37 and -70
  Swap 37 and -70
  List after swap: [-19, -83, -20, -1, -22, -51, -70, 37, -13]
  Compare 37 and -13
  Swap 37 and -13
  List after swap: [-19, -83, -20, -1, -22, -51, -70, -13, 37]

Pass 2:
  Compare -19 and -83
  Swap -19 and -83
  List after swap: [-83, -19, -20, -1, -22, -51, -70, -13, 37]
  Compare -19 and -20
  Swap -19 and -20
  List after swap: [-83, -20, -19, -1, -22, -51, -70, -13, 37]
  Compare -19 and -1
  No swap needed
  Compare -1 and -22
  Swap -1 and -22
  List after swap: [-83, -20, -19, -22, -1, -51, -70, -13, 37]
  Compare -1 and -51
  Swap -1 and -51
  List after swap: [-83, -20, -19, -22, -51, -1, -70, -13, 37]
  Compare -1 and -70
  Swap -1 and -70
  List after swap: [-83, -20, -19, -22, -51, -70, -1, -13, 37]
  Compare -1 and -13
  Swap -1 and -13
  List after swap: [-83, -20, -19, -22, -51, -70, -13, -1, 37]

Pass 3:
  Compare -83 and -20
  No swap needed
  Compare -20 and -19
  No swap needed
  Compare -19 and -22
  Swap -19 and -22
  List after swap: [-83, -20, -22, -19, -51, -70, -13, -1, 37]
  Compare -19 and -51
  Swap -19 and -51
  List after swap: [-83, -20, -22, -51, -19, -70, -13, -1, 37]
  Compare -19 and -70
  Swap -19 and -70
  List after swap: [-83, -20, -22, -51, -70, -19, -13, -1, 37]
  Compare -19 and -13
  No swap needed

Pass 4:
  Compare -83 and -20
  No swap needed
  Compare -20 and -22
  Swap -20 and -22
  List after swap: [-83, -22, -20, -51, -70, -19, -13, -1, 37]
  Compare -20 and -51
  Swap -20 and -51
  List after swap: [-83, -22, -51, -20, -70, -19, -13, -1, 37]
  Compare -20 and -70
  Swap -20 and -70
  List after swap: [-83, -22, -51, -70, -20, -19, -13, -1, 37]
  Compare -20 and -19
  No swap needed

Pass 5:
  Compare -83 and -22
  No swap needed
  Compare -22 and -51
  Swap -22 and -51
  List after swap: [-83, -51, -22, -70, -20, -19, -13, -1, 37]
  Compare -22 and -70
  Swap -22 and -70
  List after swap: [-83, -51, -70, -22, -20, -19, -13, -1, 37]
  Compare -22 and -20
  No swap needed

Pass 6:
  Compare -83 and -51
  No swap needed
  Compare -51 and -70
  Swap -51 and -70
  List after swap: [-83, -70, -51, -22, -20, -19, -13, -1, 37]
  Compare -51 and -22
  No swap needed

Pass 7:
  Compare -83 and -70
  No swap needed
  Compare -70 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -70, -51, -22, -20, -19, -13, -1, 37]
</think>

<response>-83, -70, -51, -22, -20, -19, -13, -1, 37</response>


input: Demonstrate how bubble sort orders the integers 97, -63, -91, -66, -3 in ascending sequence, showing all steps.

output:
<think>
Initial list: [97, -63, -91, -66, -3]

Pass 1:
  Compare 97 and -63
  Swap 97 and -63
  List after swap: [-63, 97, -91, -66, -3]
  Compare 97 and -91
  Swap 97 and -91
  List after swap: [-63, -91, 97, -66, -3]
  Compare 97 and -66
  Swap 97 and -66
  List after swap: [-63, -91, -66, 97, -3]
  Compare 97 and -3
  Swap 97 and -3
  List after swap: [-63, -91, -66, -3, 97]

Pass 2:
  Compare -63 and -91
  Swap -63 and -91
  List after swap: [-91, -63, -66, -3, 97]
  Compare -63 and -66
  Swap -63 and -66
  List after swap: [-91, -66, -63, -3, 97]
  Compare -63 and -3
  No swap needed

Pass 3:
  Compare -91 and -66
  No swap needed
  Compare -66 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -66, -63, -3, 97]
</think>

<response>-91, -66, -63, -3, 97</response>


input: Demonstrate how bubble sort orders the integers -99, 40, 19, -90, -96, 6, -30, 95, -36 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-99, 40, 19, -90, -96, 6, -30, 95, -36]

Pass 1:
  Compare -99 and 40
  No swap needed
  Compare 40 and 19
  Swap 40 and 19
  List after swap: [-99, 19, 40, -90, -96, 6, -30, 95, -36]
  Compare 40 and -90
  Swap 40 and -90
  List after swap: [-99, 19, -90, 40, -96, 6, -30, 95, -36]
  Compare 40 and -96
  Swap 40 and -96
  List after swap: [-99, 19, -90, -96, 40, 6, -30, 95, -36]
  Compare 40 and 6
  Swap 40 and 6
  List after swap: [-99, 19, -90, -96, 6, 40, -30, 95, -36]
  Compare 40 and -30
  Swap 40 and -30
  List after swap: [-99, 19, -90, -96, 6, -30, 40, 95, -36]
  Compare 40 and 95
  No swap needed
  Compare 95 and -36
  Swap 95 and -36
  List after swap: [-99, 19, -90, -96, 6, -30, 40, -36, 95]

Pass 2:
  Compare -99 and 19
  No swap needed
  Compare 19 and -90
  Swap 19 and -90
  List after swap: [-99, -90, 19, -96, 6, -30, 40, -36, 95]
  Compare 19 and -96
  Swap 19 and -96
  List after swap: [-99, -90, -96, 19, 6, -30, 40, -36, 95]
  Compare 19 and 6
  Swap 19 and 6
  List after swap: [-99, -90, -96, 6, 19, -30, 40, -36, 95]
  Compare 19 and -30
  Swap 19 and -30
  List after swap: [-99, -90, -96, 6, -30, 19, 40, -36, 95]
  Compare 19 and 40
  No swap needed
  Compare 40 and -36
  Swap 40 and -36
  List after swap: [-99, -90, -96, 6, -30, 19, -36, 40, 95]

Pass 3:
  Compare -99 and -90
  No swap needed
  Compare -90 and -96
  Swap -90 and -96
  List after swap: [-99, -96, -90, 6, -30, 19, -36, 40, 95]
  Compare -90 and 6
  No swap needed
  Compare 6 and -30
  Swap 6 and -30
  List after swap: [-99, -96, -90, -30, 6, 19, -36, 40, 95]
  Compare 6 and 19
  No swap needed
  Compare 19 and -36
  Swap 19 and -36
  List after swap: [-99, -96, -90, -30, 6, -36, 19, 40, 95]

Pass 4:
  Compare -99 and -96
  No swap needed
  Compare -96 and -90
  No swap needed
  Compare -90 and -30
  No swap needed
  Compare -30 and 6
  No swap needed
  Compare 6 and -36
  Swap 6 and -36
  List after swap: [-99, -96, -90, -30, -36, 6, 19, 40, 95]

Pass 5:
  Compare -99 and -96
  No swap needed
  Compare -96 and -90
  No swap needed
  Compare -90 and -30
  No swap needed
  Compare -30 and -36
  Swap -30 and -36
  List after swap: [-99, -96, -90, -36, -30, 6, 19, 40, 95]

Pass 6:
  Compare -99 and -96
  No swap needed
  Compare -96 and -90
  No swap needed
  Compare -90 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -96, -90, -36, -30, 6, 19, 40, 95]
</think>

<response>-99, -96, -90, -36, -30, 6, 19, 40, 95</response>


input: Arrange the numbers -24, 43, -50, -56, 22, 83, -43, -27 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-24, 43, -50, -56, 22, 83, -43, -27]

Pass 1:
  Compare -24 and 43
  No swap needed
  Compare 43 and -50
  Swap 43 and -50
  List after swap: [-24, -50, 43, -56, 22, 83, -43, -27]
  Compare 43 and -56
  Swap 43 and -56
  List after swap: [-24, -50, -56, 43, 22, 83, -43, -27]
  Compare 43 and 22
  Swap 43 and 22
  List after swap: [-24, -50, -56, 22, 43, 83, -43, -27]
  Compare 43 and 83
  No swap needed
  Compare 83 and -43
  Swap 83 and -43
  List after swap: [-24, -50, -56, 22, 43, -43, 83, -27]
  Compare 83 and -27
  Swap 83 and -27
  List after swap: [-24, -50, -56, 22, 43, -43, -27, 83]

Pass 2:
  Compare -24 and -50
  Swap -24 and -50
  List after swap: [-50, -24, -56, 22, 43, -43, -27, 83]
  Compare -24 and -56
  Swap -24 and -56
  List after swap: [-50, -56, -24, 22, 43, -43, -27, 83]
  Compare -24 and 22
  No swap needed
  Compare 22 and 43
  No swap needed
  Compare 43 and -43
  Swap 43 and -43
  List after swap: [-50, -56, -24, 22, -43, 43, -27, 83]
  Compare 43 and -27
  Swap 43 and -27
  List after swap: [-50, -56, -24, 22, -43, -27, 43, 83]

Pass 3:
  Compare -50 and -56
  Swap -50 and -56
  List after swap: [-56, -50, -24, 22, -43, -27, 43, 83]
  Compare -50 and -24
  No swap needed
  Compare -24 and 22
  No swap needed
  Compare 22 and -43
  Swap 22 and -43
  List after swap: [-56, -50, -24, -43, 22, -27, 43, 83]
  Compare 22 and -27
  Swap 22 and -27
  List after swap: [-56, -50, -24, -43, -27, 22, 43, 83]

Pass 4:
  Compare -56 and -50
  No swap needed
  Compare -50 and -24
  No swap needed
  Compare -24 and -43
  Swap -24 and -43
  List after swap: [-56, -50, -43, -24, -27, 22, 43, 83]
  Compare -24 and -27
  Swap -24 and -27
  List after swap: [-56, -50, -43, -27, -24, 22, 43, 83]

Pass 5:
  Compare -56 and -50
  No swap needed
  Compare -50 and -43
  No swap needed
  Compare -43 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -50, -43, -27, -24, 22, 43, 83]
</think>

<response>-56, -50, -43, -27, -24, 22, 43, 83</response>


input: Carry out the bubble sort algorithm on -25, 69, -1, 88, -37, -83, -96 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-25, 69, -1, 88, -37, -83, -96]

Pass 1:
  Compare -25 and 69
  No swap needed
  Compare 69 and -1
  Swap 69 and -1
  List after swap: [-25, -1, 69, 88, -37, -83, -96]
  Compare 69 and 88
  No swap needed
  Compare 88 and -37
  Swap 88 and -37
  List after swap: [-25, -1, 69, -37, 88, -83, -96]
  Compare 88 and -83
  Swap 88 and -83
  List after swap: [-25, -1, 69, -37, -83, 88, -96]
  Compare 88 and -96
  Swap 88 and -96
  List after swap: [-25, -1, 69, -37, -83, -96, 88]

Pass 2:
  Compare -25 and -1
  No swap needed
  Compare -1 and 69
  No swap needed
  Compare 69 and -37
  Swap 69 and -37
  List after swap: [-25, -1, -37, 69, -83, -96, 88]
  Compare 69 and -83
  Swap 69 and -83
  List after swap: [-25, -1, -37, -83, 69, -96, 88]
  Compare 69 and -96
  Swap 69 and -96
  List after swap: [-25, -1, -37, -83, -96, 69, 88]

Pass 3:
  Compare -25 and -1
  No swap needed
  Compare -1 and -37
  Swap -1 and -37
  List after swap: [-25, -37, -1, -83, -96, 69, 88]
  Compare -1 and -83
  Swap -1 and -83
  List after swap: [-25, -37, -83, -1, -96, 69, 88]
  Compare -1 and -96
  Swap -1 and -96
  List after swap: [-25, -37, -83, -96, -1, 69, 88]

Pass 4:
  Compare -25 and -37
  Swap -25 and -37
  List after swap: [-37, -25, -83, -96, -1, 69, 88]
  Compare -25 and -83
  Swap -25 and -83
  List after swap: [-37, -83, -25, -96, -1, 69, 88]
  Compare -25 and -96
  Swap -25 and -96
  List after swap: [-37, -83, -96, -25, -1, 69, 88]

Pass 5:
  Compare -37 and -83
  Swap -37 and -83
  List after swap: [-83, -37, -96, -25, -1, 69, 88]
  Compare -37 and -96
  Swap -37 and -96
  List after swap: [-83, -96, -37, -25, -1, 69, 88]

Pass 6:
  Compare -83 and -96
  Swap -83 and -96
  List after swap: [-96, -83, -37, -25, -1, 69, 88]

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

Final sorted list: [-96, -83, -37, -25, -1, 69, 88]
</think>

<response>-96, -83, -37, -25, -1, 69, 88</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -68, 22, -83, 86.

output:
<think>
Initial list: [-68, 22, -83, 86]

Pass 1:
  Compare -68 and 22
  No swap needed
  Compare 22 and -83
  Swap 22 and -83
  List after swap: [-68, -83, 22, 86]
  Compare 22 and 86
  No swap needed

Pass 2:
  Compare -68 and -83
  Swap -68 and -83
  List after swap: [-83, -68, 22, 86]
  Compare -68 and 22
  No swap needed

Pass 3:
  Compare -83 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -68, 22, 86]
</think>

<response>-83, -68, 22, 86</response>


input: Perform a bubble sort on the integers -100, -40, 29, 82, -59, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-100, -40, 29, 82, -59]

Pass 1:
  Compare -100 and -40
  No swap needed
  Compare -40 and 29
  No swap needed
  Compare 29 and 82
  No swap needed
  Compare 82 and -59
  Swap 82 and -59
  List after swap: [-100, -40, 29, -59, 82]

Pass 2:
  Compare -100 and -40
  No swap needed
  Compare -40 and 29
  No swap needed
  Compare 29 and -59
  Swap 29 and -59
  List after swap: [-100, -40, -59, 29, 82]

Pass 3:
  Compare -100 and -40
  No swap needed
  Compare -40 and -59
  Swap -40 and -59
  List after swap: [-100, -59, -40, 29, 82]

Pass 4:
  Compare -100 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -59, -40, 29, 82]
</think>

<response>-100, -59, -40, 29, 82</response>


input: Sort the list 95, -15, 49, 14, 1, 8, -30, 32, -35, 82 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [95, -15, 49, 14, 1, 8, -30, 32, -35, 82]

Pass 1:
  Compare 95 and -15
  Swap 95 and -15
  List after swap: [-15, 95, 49, 14, 1, 8, -30, 32, -35, 82]
  Compare 95 and 49
  Swap 95 and 49
  List after swap: [-15, 49, 95, 14, 1, 8, -30, 32, -35, 82]
  Compare 95 and 14
  Swap 95 and 14
  List after swap: [-15, 49, 14, 95, 1, 8, -30, 32, -35, 82]
  Compare 95 and 1
  Swap 95 and 1
  List after swap: [-15, 49, 14, 1, 95, 8, -30, 32, -35, 82]
  Compare 95 and 8
  Swap 95 and 8
  List after swap: [-15, 49, 14, 1, 8, 95, -30, 32, -35, 82]
  Compare 95 and -30
  Swap 95 and -30
  List after swap: [-15, 49, 14, 1, 8, -30, 95, 32, -35, 82]
  Compare 95 and 32
  Swap 95 and 32
  List after swap: [-15, 49, 14, 1, 8, -30, 32, 95, -35, 82]
  Compare 95 and -35
  Swap 95 and -35
  List after swap: [-15, 49, 14, 1, 8, -30, 32, -35, 95, 82]
  Compare 95 and 82
  Swap 95 and 82
  List after swap: [-15, 49, 14, 1, 8, -30, 32, -35, 82, 95]

Pass 2:
  Compare -15 and 49
  No swap needed
  Compare 49 and 14
  Swap 49 and 14
  List after swap: [-15, 14, 49, 1, 8, -30, 32, -35, 82, 95]
  Compare 49 and 1
  Swap 49 and 1
  List after swap: [-15, 14, 1, 49, 8, -30, 32, -35, 82, 95]
  Compare 49 and 8
  Swap 49 and 8
  List after swap: [-15, 14, 1, 8, 49, -30, 32, -35, 82, 95]
  Compare 49 and -30
  Swap 49 and -30
  List after swap: [-15, 14, 1, 8, -30, 49, 32, -35, 82, 95]
  Compare 49 and 32
  Swap 49 and 32
  List after swap: [-15, 14, 1, 8, -30, 32, 49, -35, 82, 95]
  Compare 49 and -35
  Swap 49 and -35
  List after swap: [-15, 14, 1, 8, -30, 32, -35, 49, 82, 95]
  Compare 49 and 82
  No swap needed

Pass 3:
  Compare -15 and 14
  No swap needed
  Compare 14 and 1
  Swap 14 and 1
  List after swap: [-15, 1, 14, 8, -30, 32, -35, 49, 82, 95]
  Compare 14 and 8
  Swap 14 and 8
  List after swap: [-15, 1, 8, 14, -30, 32, -35, 49, 82, 95]
  Compare 14 and -30
  Swap 14 and -30
  List after swap: [-15, 1, 8, -30, 14, 32, -35, 49, 82, 95]
  Compare 14 and 32
  No swap needed
  Compare 32 and -35
  Swap 32 and -35
  List after swap: [-15, 1, 8, -30, 14, -35, 32, 49, 82, 95]
  Compare 32 and 49
  No swap needed

Pass 4:
  Compare -15 and 1
  No swap needed
  Compare 1 and 8
  No swap needed
  Compare 8 and -30
  Swap 8 and -30
  List after swap: [-15, 1, -30, 8, 14, -35, 32, 49, 82, 95]
  Compare 8 and 14
  No swap needed
  Compare 14 and -35
  Swap 14 and -35
  List after swap: [-15, 1, -30, 8, -35, 14, 32, 49, 82, 95]
  Compare 14 and 32
  No swap needed

Pass 5:
  Compare -15 and 1
  No swap needed
  Compare 1 and -30
  Swap 1 and -30
  List after swap: [-15, -30, 1, 8, -35, 14, 32, 49, 82, 95]
  Compare 1 and 8
  No swap needed
  Compare 8 and -35
  Swap 8 and -35
  List after swap: [-15, -30, 1, -35, 8, 14, 32, 49, 82, 95]
  Compare 8 and 14
  No swap needed

Pass 6:
  Compare -15 and -30
  Swap -15 and -30
  List after swap: [-30, -15, 1, -35, 8, 14, 32, 49, 82, 95]
  Compare -15 and 1
  No swap needed
  Compare 1 and -35
  Swap 1 and -35
  List after swap: [-30, -15, -35, 1, 8, 14, 32, 49, 82, 95]
  Compare 1 and 8
  No swap needed

Pass 7:
  Compare -30 and -15
  No swap needed
  Compare -15 and -35
  Swap -15 and -35
  List after swap: [-30, -35, -15, 1, 8, 14, 32, 49, 82, 95]
  Compare -15 and 1
  No swap needed

Pass 8:
  Compare -30 and -35
  Swap -30 and -35
  List after swap: [-35, -30, -15, 1, 8, 14, 32, 49, 82, 95]
  Compare -30 and -15
  No swap needed

Pass 9:
  Compare -35 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -30, -15, 1, 8, 14, 32, 49, 82, 95]
</think>

<response>-35, -30, -15, 1, 8, 14, 32, 49, 82, 95</response>


input: Execute bubble sort to sort 2, -8 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [2, -8]

Pass 1:
  Compare 2 and -8
  Swap 2 and -8
  List after swap: [-8, 2]

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

Final sorted list: [-8, 2]
</think>

<response>-8, 2</response>


input: Carry out the bubble sort algorithm on -43, -54 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-43, -54]

Pass 1:
  Compare -43 and -54
  Swap -43 and -54
  List after swap: [-54, -43]

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

Final sorted list: [-54, -43]
</think>

<response>-54, -43</response>


input: Execute bubble sort to sort 7, -64, 29, -39, -7 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [7, -64, 29, -39, -7]

Pass 1:
  Compare 7 and -64
  Swap 7 and -64
  List after swap: [-64, 7, 29, -39, -7]
  Compare 7 and 29
  No swap needed
  Compare 29 and -39
  Swap 29 and -39
  List after swap: [-64, 7, -39, 29, -7]
  Compare 29 and -7
  Swap 29 and -7
  List after swap: [-64, 7, -39, -7, 29]

Pass 2:
  Compare -64 and 7
  No swap needed
  Compare 7 and -39
  Swap 7 and -39
  List after swap: [-64, -39, 7, -7, 29]
  Compare 7 and -7
  Swap 7 and -7
  List after swap: [-64, -39, -7, 7, 29]

Pass 3:
  Compare -64 and -39
  No swap needed
  Compare -39 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -39, -7, 7, 29]
</think>

<response>-64, -39, -7, 7, 29</response>


input: Perform a bubble sort on the integers -46, -61, -65, 50, -71, 62, -7, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-46, -61, -65, 50, -71, 62, -7]

Pass 1:
  Compare -46 and -61
  Swap -46 and -61
  List after swap: [-61, -46, -65, 50, -71, 62, -7]
  Compare -46 and -65
  Swap -46 and -65
  List after swap: [-61, -65, -46, 50, -71, 62, -7]
  Compare -46 and 50
  No swap needed
  Compare 50 and -71
  Swap 50 and -71
  List after swap: [-61, -65, -46, -71, 50, 62, -7]
  Compare 50 and 62
  No swap needed
  Compare 62 and -7
  Swap 62 and -7
  List after swap: [-61, -65, -46, -71, 50, -7, 62]

Pass 2:
  Compare -61 and -65
  Swap -61 and -65
  List after swap: [-65, -61, -46, -71, 50, -7, 62]
  Compare -61 and -46
  No swap needed
  Compare -46 and -71
  Swap -46 and -71
  List after swap: [-65, -61, -71, -46, 50, -7, 62]
  Compare -46 and 50
  No swap needed
  Compare 50 and -7
  Swap 50 and -7
  List after swap: [-65, -61, -71, -46, -7, 50, 62]

Pass 3:
  Compare -65 and -61
  No swap needed
  Compare -61 and -71
  Swap -61 and -71
  List after swap: [-65, -71, -61, -46, -7, 50, 62]
  Compare -61 and -46
  No swap needed
  Compare -46 and -7
  No swap needed

Pass 4:
  Compare -65 and -71
  Swap -65 and -71
  List after swap: [-71, -65, -61, -46, -7, 50, 62]
  Compare -65 and -61
  No swap needed
  Compare -61 and -46
  No swap needed

Pass 5:
  Compare -71 and -65
  No swap needed
  Compare -65 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -65, -61, -46, -7, 50, 62]
</think>

<response>-71, -65, -61, -46, -7, 50, 62</response>


input: Execute bubble sort to sort 84, -47, -39, 53, 50, 26, -9, 63, -87 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [84, -47, -39, 53, 50, 26, -9, 63, -87]

Pass 1:
  Compare 84 and -47
  Swap 84 and -47
  List after swap: [-47, 84, -39, 53, 50, 26, -9, 63, -87]
  Compare 84 and -39
  Swap 84 and -39
  List after swap: [-47, -39, 84, 53, 50, 26, -9, 63, -87]
  Compare 84 and 53
  Swap 84 and 53
  List after swap: [-47, -39, 53, 84, 50, 26, -9, 63, -87]
  Compare 84 and 50
  Swap 84 and 50
  List after swap: [-47, -39, 53, 50, 84, 26, -9, 63, -87]
  Compare 84 and 26
  Swap 84 and 26
  List after swap: [-47, -39, 53, 50, 26, 84, -9, 63, -87]
  Compare 84 and -9
  Swap 84 and -9
  List after swap: [-47, -39, 53, 50, 26, -9, 84, 63, -87]
  Compare 84 and 63
  Swap 84 and 63
  List after swap: [-47, -39, 53, 50, 26, -9, 63, 84, -87]
  Compare 84 and -87
  Swap 84 and -87
  List after swap: [-47, -39, 53, 50, 26, -9, 63, -87, 84]

Pass 2:
  Compare -47 and -39
  No swap needed
  Compare -39 and 53
  No swap needed
  Compare 53 and 50
  Swap 53 and 50
  List after swap: [-47, -39, 50, 53, 26, -9, 63, -87, 84]
  Compare 53 and 26
  Swap 53 and 26
  List after swap: [-47, -39, 50, 26, 53, -9, 63, -87, 84]
  Compare 53 and -9
  Swap 53 and -9
  List after swap: [-47, -39, 50, 26, -9, 53, 63, -87, 84]
  Compare 53 and 63
  No swap needed
  Compare 63 and -87
  Swap 63 and -87
  List after swap: [-47, -39, 50, 26, -9, 53, -87, 63, 84]

Pass 3:
  Compare -47 and -39
  No swap needed
  Compare -39 and 50
  No swap needed
  Compare 50 and 26
  Swap 50 and 26
  List after swap: [-47, -39, 26, 50, -9, 53, -87, 63, 84]
  Compare 50 and -9
  Swap 50 and -9
  List after swap: [-47, -39, 26, -9, 50, 53, -87, 63, 84]
  Compare 50 and 53
  No swap needed
  Compare 53 and -87
  Swap 53 and -87
  List after swap: [-47, -39, 26, -9, 50, -87, 53, 63, 84]

Pass 4:
  Compare -47 and -39
  No swap needed
  Compare -39 and 26
  No swap needed
  Compare 26 and -9
  Swap 26 and -9
  List after swap: [-47, -39, -9, 26, 50, -87, 53, 63, 84]
  Compare 26 and 50
  No swap needed
  Compare 50 and -87
  Swap 50 and -87
  List after swap: [-47, -39, -9, 26, -87, 50, 53, 63, 84]

Pass 5:
  Compare -47 and -39
  No swap needed
  Compare -39 and -9
  No swap needed
  Compare -9 and 26
  No swap needed
  Compare 26 and -87
  Swap 26 and -87
  List after swap: [-47, -39, -9, -87, 26, 50, 53, 63, 84]

Pass 6:
  Compare -47 and -39
  No swap needed
  Compare -39 and -9
  No swap needed
  Compare -9 and -87
  Swap -9 and -87
  List after swap: [-47, -39, -87, -9, 26, 50, 53, 63, 84]

Pass 7:
  Compare -47 and -39
  No swap needed
  Compare -39 and -87
  Swap -39 and -87
  List after swap: [-47, -87, -39, -9, 26, 50, 53, 63, 84]

Pass 8:
  Compare -47 and -87
  Swap -47 and -87
  List after swap: [-87, -47, -39, -9, 26, 50, 53, 63, 84]

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

Final sorted list: [-87, -47, -39, -9, 26, 50, 53, 63, 84]
</think>

<response>-87, -47, -39, -9, 26, 50, 53, 63, 84</response>


input: Arrange the numbers 26, -86, 12, 42, -3, 37, -69, 54, 49 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [26, -86, 12, 42, -3, 37, -69, 54, 49]

Pass 1:
  Compare 26 and -86
  Swap 26 and -86
  List after swap: [-86, 26, 12, 42, -3, 37, -69, 54, 49]
  Compare 26 and 12
  Swap 26 and 12
  List after swap: [-86, 12, 26, 42, -3, 37, -69, 54, 49]
  Compare 26 and 42
  No swap needed
  Compare 42 and -3
  Swap 42 and -3
  List after swap: [-86, 12, 26, -3, 42, 37, -69, 54, 49]
  Compare 42 and 37
  Swap 42 and 37
  List after swap: [-86, 12, 26, -3, 37, 42, -69, 54, 49]
  Compare 42 and -69
  Swap 42 and -69
  List after swap: [-86, 12, 26, -3, 37, -69, 42, 54, 49]
  Compare 42 and 54
  No swap needed
  Compare 54 and 49
  Swap 54 and 49
  List after swap: [-86, 12, 26, -3, 37, -69, 42, 49, 54]

Pass 2:
  Compare -86 and 12
  No swap needed
  Compare 12 and 26
  No swap needed
  Compare 26 and -3
  Swap 26 and -3
  List after swap: [-86, 12, -3, 26, 37, -69, 42, 49, 54]
  Compare 26 and 37
  No swap needed
  Compare 37 and -69
  Swap 37 and -69
  List after swap: [-86, 12, -3, 26, -69, 37, 42, 49, 54]
  Compare 37 and 42
  No swap needed
  Compare 42 and 49
  No swap needed

Pass 3:
  Compare -86 and 12
  No swap needed
  Compare 12 and -3
  Swap 12 and -3
  List after swap: [-86, -3, 12, 26, -69, 37, 42, 49, 54]
  Compare 12 and 26
  No swap needed
  Compare 26 and -69
  Swap 26 and -69
  List after swap: [-86, -3, 12, -69, 26, 37, 42, 49, 54]
  Compare 26 and 37
  No swap needed
  Compare 37 and 42
  No swap needed

Pass 4:
  Compare -86 and -3
  No swap needed
  Compare -3 and 12
  No swap needed
  Compare 12 and -69
  Swap 12 and -69
  List after swap: [-86, -3, -69, 12, 26, 37, 42, 49, 54]
  Compare 12 and 26
  No swap needed
  Compare 26 and 37
  No swap needed

Pass 5:
  Compare -86 and -3
  No swap needed
  Compare -3 and -69
  Swap -3 and -69
  List after swap: [-86, -69, -3, 12, 26, 37, 42, 49, 54]
  Compare -3 and 12
  No swap needed
  Compare 12 and 26
  No swap needed

Pass 6:
  Compare -86 and -69
  No swap needed
  Compare -69 and -3
  No swap needed
  Compare -3 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -69, -3, 12, 26, 37, 42, 49, 54]
</think>

<response>-86, -69, -3, 12, 26, 37, 42, 49, 54</response>


input: Implement bubble sort on 88, -14 to achieve ascending order, writing out each step in detail.

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

Pass 1:
  Compare 88 and -14
  Swap 88 and -14
  List after swap: [-14, 88]

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

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

<response>-14, 88</response>


input: Execute bubble sort to sort -99, -78, 82, -34, -33, 77, -93, 67, -35, 76 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-99, -78, 82, -34, -33, 77, -93, 67, -35, 76]

Pass 1:
  Compare -99 and -78
  No swap needed
  Compare -78 and 82
  No swap needed
  Compare 82 and -34
  Swap 82 and -34
  List after swap: [-99, -78, -34, 82, -33, 77, -93, 67, -35, 76]
  Compare 82 and -33
  Swap 82 and -33
  List after swap: [-99, -78, -34, -33, 82, 77, -93, 67, -35, 76]
  Compare 82 and 77
  Swap 82 and 77
  List after swap: [-99, -78, -34, -33, 77, 82, -93, 67, -35, 76]
  Compare 82 and -93
  Swap 82 and -93
  List after swap: [-99, -78, -34, -33, 77, -93, 82, 67, -35, 76]
  Compare 82 and 67
  Swap 82 and 67
  List after swap: [-99, -78, -34, -33, 77, -93, 67, 82, -35, 76]
  Compare 82 and -35
  Swap 82 and -35
  List after swap: [-99, -78, -34, -33, 77, -93, 67, -35, 82, 76]
  Compare 82 and 76
  Swap 82 and 76
  List after swap: [-99, -78, -34, -33, 77, -93, 67, -35, 76, 82]

Pass 2:
  Compare -99 and -78
  No swap needed
  Compare -78 and -34
  No swap needed
  Compare -34 and -33
  No swap needed
  Compare -33 and 77
  No swap needed
  Compare 77 and -93
  Swap 77 and -93
  List after swap: [-99, -78, -34, -33, -93, 77, 67, -35, 76, 82]
  Compare 77 and 67
  Swap 77 and 67
  List after swap: [-99, -78, -34, -33, -93, 67, 77, -35, 76, 82]
  Compare 77 and -35
  Swap 77 and -35
  List after swap: [-99, -78, -34, -33, -93, 67, -35, 77, 76, 82]
  Compare 77 and 76
  Swap 77 and 76
  List after swap: [-99, -78, -34, -33, -93, 67, -35, 76, 77, 82]

Pass 3:
  Compare -99 and -78
  No swap needed
  Compare -78 and -34
  No swap needed
  Compare -34 and -33
  No swap needed
  Compare -33 and -93
  Swap -33 and -93
  List after swap: [-99, -78, -34, -93, -33, 67, -35, 76, 77, 82]
  Compare -33 and 67
  No swap needed
  Compare 67 and -35
  Swap 67 and -35
  List after swap: [-99, -78, -34, -93, -33, -35, 67, 76, 77, 82]
  Compare 67 and 76
  No swap needed

Pass 4:
  Compare -99 and -78
  No swap needed
  Compare -78 and -34
  No swap needed
  Compare -34 and -93
  Swap -34 and -93
  List after swap: [-99, -78, -93, -34, -33, -35, 67, 76, 77, 82]
  Compare -34 and -33
  No swap needed
  Compare -33 and -35
  Swap -33 and -35
  List after swap: [-99, -78, -93, -34, -35, -33, 67, 76, 77, 82]
  Compare -33 and 67
  No swap needed

Pass 5:
  Compare -99 and -78
  No swap needed
  Compare -78 and -93
  Swap -78 and -93
  List after swap: [-99, -93, -78, -34, -35, -33, 67, 76, 77, 82]
  Compare -78 and -34
  No swap needed
  Compare -34 and -35
  Swap -34 and -35
  List after swap: [-99, -93, -78, -35, -34, -33, 67, 76, 77, 82]
  Compare -34 and -33
  No swap needed

Pass 6:
  Compare -99 and -93
  No swap needed
  Compare -93 and -78
  No swap needed
  Compare -78 and -35
  No swap needed
  Compare -35 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -93, -78, -35, -34, -33, 67, 76, 77, 82]
</think>

<response>-99, -93, -78, -35, -34, -33, 67, 76, 77, 82</response>


input: Execute bubble sort to sort -54, -73, 74, -48, -20, 11, -76, -90, -87 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-54, -73, 74, -48, -20, 11, -76, -90, -87]

Pass 1:
  Compare -54 and -73
  Swap -54 and -73
  List after swap: [-73, -54, 74, -48, -20, 11, -76, -90, -87]
  Compare -54 and 74
  No swap needed
  Compare 74 and -48
  Swap 74 and -48
  List after swap: [-73, -54, -48, 74, -20, 11, -76, -90, -87]
  Compare 74 and -20
  Swap 74 and -20
  List after swap: [-73, -54, -48, -20, 74, 11, -76, -90, -87]
  Compare 74 and 11
  Swap 74 and 11
  List after swap: [-73, -54, -48, -20, 11, 74, -76, -90, -87]
  Compare 74 and -76
  Swap 74 and -76
  List after swap: [-73, -54, -48, -20, 11, -76, 74, -90, -87]
  Compare 74 and -90
  Swap 74 and -90
  List after swap: [-73, -54, -48, -20, 11, -76, -90, 74, -87]
  Compare 74 and -87
  Swap 74 and -87
  List after swap: [-73, -54, -48, -20, 11, -76, -90, -87, 74]

Pass 2:
  Compare -73 and -54
  No swap needed
  Compare -54 and -48
  No swap needed
  Compare -48 and -20
  No swap needed
  Compare -20 and 11
  No swap needed
  Compare 11 and -76
  Swap 11 and -76
  List after swap: [-73, -54, -48, -20, -76, 11, -90, -87, 74]
  Compare 11 and -90
  Swap 11 and -90
  List after swap: [-73, -54, -48, -20, -76, -90, 11, -87, 74]
  Compare 11 and -87
  Swap 11 and -87
  List after swap: [-73, -54, -48, -20, -76, -90, -87, 11, 74]

Pass 3:
  Compare -73 and -54
  No swap needed
  Compare -54 and -48
  No swap needed
  Compare -48 and -20
  No swap needed
  Compare -20 and -76
  Swap -20 and -76
  List after swap: [-73, -54, -48, -76, -20, -90, -87, 11, 74]
  Compare -20 and -90
  Swap -20 and -90
  List after swap: [-73, -54, -48, -76, -90, -20, -87, 11, 74]
  Compare -20 and -87
  Swap -20 and -87
  List after swap: [-73, -54, -48, -76, -90, -87, -20, 11, 74]

Pass 4:
  Compare -73 and -54
  No swap needed
  Compare -54 and -48
  No swap needed
  Compare -48 and -76
  Swap -48 and -76
  List after swap: [-73, -54, -76, -48, -90, -87, -20, 11, 74]
  Compare -48 and -90
  Swap -48 and -90
  List after swap: [-73, -54, -76, -90, -48, -87, -20, 11, 74]
  Compare -48 and -87
  Swap -48 and -87
  List after swap: [-73, -54, -76, -90, -87, -48, -20, 11, 74]

Pass 5:
  Compare -73 and -54
  No swap needed
  Compare -54 and -76
  Swap -54 and -76
  List after swap: [-73, -76, -54, -90, -87, -48, -20, 11, 74]
  Compare -54 and -90
  Swap -54 and -90
  List after swap: [-73, -76, -90, -54, -87, -48, -20, 11, 74]
  Compare -54 and -87
  Swap -54 and -87
  List after swap: [-73, -76, -90, -87, -54, -48, -20, 11, 74]

Pass 6:
  Compare -73 and -76
  Swap -73 and -76
  List after swap: [-76, -73, -90, -87, -54, -48, -20, 11, 74]
  Compare -73 and -90
  Swap -73 and -90
  List after swap: [-76, -90, -73, -87, -54, -48, -20, 11, 74]
  Compare -73 and -87
  Swap -73 and -87
  List after swap: [-76, -90, -87, -73, -54, -48, -20, 11, 74]

Pass 7:
  Compare -76 and -90
  Swap -76 and -90
  List after swap: [-90, -76, -87, -73, -54, -48, -20, 11, 74]
  Compare -76 and -87
  Swap -76 and -87
  List after swap: [-90, -87, -76, -73, -54, -48, -20, 11, 74]

Pass 8:
  Compare -90 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -87, -76, -73, -54, -48, -20, 11, 74]
</think>

<response>-90, -87, -76, -73, -54, -48, -20, 11, 74</response>


input: Demonstrate how bubble sort orders the integers 29, 17, 96, 5, 45 in ascending sequence, showing all steps.

output:
<think>
Initial list: [29, 17, 96, 5, 45]

Pass 1:
  Compare 29 and 17
  Swap 29 and 17
  List after swap: [17, 29, 96, 5, 45]
  Compare 29 and 96
  No swap needed
  Compare 96 and 5
  Swap 96 and 5
  List after swap: [17, 29, 5, 96, 45]
  Compare 96 and 45
  Swap 96 and 45
  List after swap: [17, 29, 5, 45, 96]

Pass 2:
  Compare 17 and 29
  No swap needed
  Compare 29 and 5
  Swap 29 and 5
  List after swap: [17, 5, 29, 45, 96]
  Compare 29 and 45
  No swap needed

Pass 3:
  Compare 17 and 5
  Swap 17 and 5
  List after swap: [5, 17, 29, 45, 96]
  Compare 17 and 29
  No swap needed

Pass 4:
  Compare 5 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [5, 17, 29, 45, 96]
</think>

<response>5, 17, 29, 45, 96</response>


input: Sort these integers 36, -41, 14, 72, -34 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [36, -41, 14, 72, -34]

Pass 1:
  Compare 36 and -41
  Swap 36 and -41
  List after swap: [-41, 36, 14, 72, -34]
  Compare 36 and 14
  Swap 36 and 14
  List after swap: [-41, 14, 36, 72, -34]
  Compare 36 and 72
  No swap needed
  Compare 72 and -34
  Swap 72 and -34
  List after swap: [-41, 14, 36, -34, 72]

Pass 2:
  Compare -41 and 14
  No swap needed
  Compare 14 and 36
  No swap needed
  Compare 36 and -34
  Swap 36 and -34
  List after swap: [-41, 14, -34, 36, 72]

Pass 3:
  Compare -41 and 14
  No swap needed
  Compare 14 and -34
  Swap 14 and -34
  List after swap: [-41, -34, 14, 36, 72]

Pass 4:
  Compare -41 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -34, 14, 36, 72]
</think>

<response>-41, -34, 14, 36, 72</response>


input: Sort these integers 70, -58, 83, -75, -71 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [70, -58, 83, -75, -71]

Pass 1:
  Compare 70 and -58
  Swap 70 and -58
  List after swap: [-58, 70, 83, -75, -71]
  Compare 70 and 83
  No swap needed
  Compare 83 and -75
  Swap 83 and -75
  List after swap: [-58, 70, -75, 83, -71]
  Compare 83 and -71
  Swap 83 and -71
  List after swap: [-58, 70, -75, -71, 83]

Pass 2:
  Compare -58 and 70
  No swap needed
  Compare 70 and -75
  Swap 70 and -75
  List after swap: [-58, -75, 70, -71, 83]
  Compare 70 and -71
  Swap 70 and -71
  List after swap: [-58, -75, -71, 70, 83]

Pass 3:
  Compare -58 and -75
  Swap -58 and -75
  List after swap: [-75, -58, -71, 70, 83]
  Compare -58 and -71
  Swap -58 and -71
  List after swap: [-75, -71, -58, 70, 83]

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

Final sorted list: [-75, -71, -58, 70, 83]
</think>

<response>-75, -71, -58, 70, 83</response>


input: Perform a bubble sort on the integers -63, 81, -74, -93, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-63, 81, -74, -93]

Pass 1:
  Compare -63 and 81
  No swap needed
  Compare 81 and -74
  Swap 81 and -74
  List after swap: [-63, -74, 81, -93]
  Compare 81 and -93
  Swap 81 and -93
  List after swap: [-63, -74, -93, 81]

Pass 2:
  Compare -63 and -74
  Swap -63 and -74
  List after swap: [-74, -63, -93, 81]
  Compare -63 and -93
  Swap -63 and -93
  List after swap: [-74, -93, -63, 81]

Pass 3:
  Compare -74 and -93
  Swap -74 and -93
  List after swap: [-93, -74, -63, 81]

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

Final sorted list: [-93, -74, -63, 81]
</think>

<response>-93, -74, -63, 81</response>


input: Implement bubble sort on 16, -48, -69, -98, -97, -4, 44 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [16, -48, -69, -98, -97, -4, 44]

Pass 1:
  Compare 16 and -48
  Swap 16 and -48
  List after swap: [-48, 16, -69, -98, -97, -4, 44]
  Compare 16 and -69
  Swap 16 and -69
  List after swap: [-48, -69, 16, -98, -97, -4, 44]
  Compare 16 and -98
  Swap 16 and -98
  List after swap: [-48, -69, -98, 16, -97, -4, 44]
  Compare 16 and -97
  Swap 16 and -97
  List after swap: [-48, -69, -98, -97, 16, -4, 44]
  Compare 16 and -4
  Swap 16 and -4
  List after swap: [-48, -69, -98, -97, -4, 16, 44]
  Compare 16 and 44
  No swap needed

Pass 2:
  Compare -48 and -69
  Swap -48 and -69
  List after swap: [-69, -48, -98, -97, -4, 16, 44]
  Compare -48 and -98
  Swap -48 and -98
  List after swap: [-69, -98, -48, -97, -4, 16, 44]
  Compare -48 and -97
  Swap -48 and -97
  List after swap: [-69, -98, -97, -48, -4, 16, 44]
  Compare -48 and -4
  No swap needed
  Compare -4 and 16
  No swap needed

Pass 3:
  Compare -69 and -98
  Swap -69 and -98
  List after swap: [-98, -69, -97, -48, -4, 16, 44]
  Compare -69 and -97
  Swap -69 and -97
  List after swap: [-98, -97, -69, -48, -4, 16, 44]
  Compare -69 and -48
  No swap needed
  Compare -48 and -4
  No swap needed

Pass 4:
  Compare -98 and -97
  No swap needed
  Compare -97 and -69
  No swap needed
  Compare -69 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -97, -69, -48, -4, 16, 44]
</think>

<response>-98, -97, -69, -48, -4, 16, 44</response>


input: Carry out the bubble sort algorithm on -57, -2, -35, 13, -19 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-57, -2, -35, 13, -19]

Pass 1:
  Compare -57 and -2
  No swap needed
  Compare -2 and -35
  Swap -2 and -35
  List after swap: [-57, -35, -2, 13, -19]
  Compare -2 and 13
  No swap needed
  Compare 13 and -19
  Swap 13 and -19
  List after swap: [-57, -35, -2, -19, 13]

Pass 2:
  Compare -57 and -35
  No swap needed
  Compare -35 and -2
  No swap needed
  Compare -2 and -19
  Swap -2 and -19
  List after swap: [-57, -35, -19, -2, 13]

Pass 3:
  Compare -57 and -35
  No swap needed
  Compare -35 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -35, -19, -2, 13]
</think>

<response>-57, -35, -19, -2, 13</response>


input: Using the bubble sort method, sort -79, -88, -35, 5, 95, 56, -56 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-79, -88, -35, 5, 95, 56, -56]

Pass 1:
  Compare -79 and -88
  Swap -79 and -88
  List after swap: [-88, -79, -35, 5, 95, 56, -56]
  Compare -79 and -35
  No swap needed
  Compare -35 and 5
  No swap needed
  Compare 5 and 95
  No swap needed
  Compare 95 and 56
  Swap 95 and 56
  List after swap: [-88, -79, -35, 5, 56, 95, -56]
  Compare 95 and -56
  Swap 95 and -56
  List after swap: [-88, -79, -35, 5, 56, -56, 95]

Pass 2:
  Compare -88 and -79
  No swap needed
  Compare -79 and -35
  No swap needed
  Compare -35 and 5
  No swap needed
  Compare 5 and 56
  No swap needed
  Compare 56 and -56
  Swap 56 and -56
  List after swap: [-88, -79, -35, 5, -56, 56, 95]

Pass 3:
  Compare -88 and -79
  No swap needed
  Compare -79 and -35
  No swap needed
  Compare -35 and 5
  No swap needed
  Compare 5 and -56
  Swap 5 and -56
  List after swap: [-88, -79, -35, -56, 5, 56, 95]

Pass 4:
  Compare -88 and -79
  No swap needed
  Compare -79 and -35
  No swap needed
  Compare -35 and -56
  Swap -35 and -56
  List after swap: [-88, -79, -56, -35, 5, 56, 95]

Pass 5:
  Compare -88 and -79
  No swap needed
  Compare -79 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -79, -56, -35, 5, 56, 95]
</think>

<response>-88, -79, -56, -35, 5, 56, 95</response>


input: Using the bubble sort method, sort 65, -29, 94, -58 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [65, -29, 94, -58]

Pass 1:
  Compare 65 and -29
  Swap 65 and -29
  List after swap: [-29, 65, 94, -58]
  Compare 65 and 94
  No swap needed
  Compare 94 and -58
  Swap 94 and -58
  List after swap: [-29, 65, -58, 94]

Pass 2:
  Compare -29 and 65
  No swap needed
  Compare 65 and -58
  Swap 65 and -58
  List after swap: [-29, -58, 65, 94]

Pass 3:
  Compare -29 and -58
  Swap -29 and -58
  List after swap: [-58, -29, 65, 94]

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

Final sorted list: [-58, -29, 65, 94]
</think>

<response>-58, -29, 65, 94</response>


input: Use the bubble sort technique to reorder 57, 69, -85, 67, -82 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [57, 69, -85, 67, -82]

Pass 1:
  Compare 57 and 69
  No swap needed
  Compare 69 and -85
  Swap 69 and -85
  List after swap: [57, -85, 69, 67, -82]
  Compare 69 and 67
  Swap 69 and 67
  List after swap: [57, -85, 67, 69, -82]
  Compare 69 and -82
  Swap 69 and -82
  List after swap: [57, -85, 67, -82, 69]

Pass 2:
  Compare 57 and -85
  Swap 57 and -85
  List after swap: [-85, 57, 67, -82, 69]
  Compare 57 and 67
  No swap needed
  Compare 67 and -82
  Swap 67 and -82
  List after swap: [-85, 57, -82, 67, 69]

Pass 3:
  Compare -85 and 57
  No swap needed
  Compare 57 and -82
  Swap 57 and -82
  List after swap: [-85, -82, 57, 67, 69]

Pass 4:
  Compare -85 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -82, 57, 67, 69]
</think>

<response>-85, -82, 57, 67, 69</response>