input: Use the bubble sort technique to reorder -63, -3, 0, -51, -4, 90, 15, 16, -86, -93 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-63, -3, 0, -51, -4, 90, 15, 16, -86, -93]

Pass 1:
  Compare -63 and -3
  No swap needed
  Compare -3 and 0
  No swap needed
  Compare 0 and -51
  Swap 0 and -51
  List after swap: [-63, -3, -51, 0, -4, 90, 15, 16, -86, -93]
  Compare 0 and -4
  Swap 0 and -4
  List after swap: [-63, -3, -51, -4, 0, 90, 15, 16, -86, -93]
  Compare 0 and 90
  No swap needed
  Compare 90 and 15
  Swap 90 and 15
  List after swap: [-63, -3, -51, -4, 0, 15, 90, 16, -86, -93]
  Compare 90 and 16
  Swap 90 and 16
  List after swap: [-63, -3, -51, -4, 0, 15, 16, 90, -86, -93]
  Compare 90 and -86
  Swap 90 and -86
  List after swap: [-63, -3, -51, -4, 0, 15, 16, -86, 90, -93]
  Compare 90 and -93
  Swap 90 and -93
  List after swap: [-63, -3, -51, -4, 0, 15, 16, -86, -93, 90]

Pass 2:
  Compare -63 and -3
  No swap needed
  Compare -3 and -51
  Swap -3 and -51
  List after swap: [-63, -51, -3, -4, 0, 15, 16, -86, -93, 90]
  Compare -3 and -4
  Swap -3 and -4
  List after swap: [-63, -51, -4, -3, 0, 15, 16, -86, -93, 90]
  Compare -3 and 0
  No swap needed
  Compare 0 and 15
  No swap needed
  Compare 15 and 16
  No swap needed
  Compare 16 and -86
  Swap 16 and -86
  List after swap: [-63, -51, -4, -3, 0, 15, -86, 16, -93, 90]
  Compare 16 and -93
  Swap 16 and -93
  List after swap: [-63, -51, -4, -3, 0, 15, -86, -93, 16, 90]

Pass 3:
  Compare -63 and -51
  No swap needed
  Compare -51 and -4
  No swap needed
  Compare -4 and -3
  No swap needed
  Compare -3 and 0
  No swap needed
  Compare 0 and 15
  No swap needed
  Compare 15 and -86
  Swap 15 and -86
  List after swap: [-63, -51, -4, -3, 0, -86, 15, -93, 16, 90]
  Compare 15 and -93
  Swap 15 and -93
  List after swap: [-63, -51, -4, -3, 0, -86, -93, 15, 16, 90]

Pass 4:
  Compare -63 and -51
  No swap needed
  Compare -51 and -4
  No swap needed
  Compare -4 and -3
  No swap needed
  Compare -3 and 0
  No swap needed
  Compare 0 and -86
  Swap 0 and -86
  List after swap: [-63, -51, -4, -3, -86, 0, -93, 15, 16, 90]
  Compare 0 and -93
  Swap 0 and -93
  List after swap: [-63, -51, -4, -3, -86, -93, 0, 15, 16, 90]

Pass 5:
  Compare -63 and -51
  No swap needed
  Compare -51 and -4
  No swap needed
  Compare -4 and -3
  No swap needed
  Compare -3 and -86
  Swap -3 and -86
  List after swap: [-63, -51, -4, -86, -3, -93, 0, 15, 16, 90]
  Compare -3 and -93
  Swap -3 and -93
  List after swap: [-63, -51, -4, -86, -93, -3, 0, 15, 16, 90]

Pass 6:
  Compare -63 and -51
  No swap needed
  Compare -51 and -4
  No swap needed
  Compare -4 and -86
  Swap -4 and -86
  List after swap: [-63, -51, -86, -4, -93, -3, 0, 15, 16, 90]
  Compare -4 and -93
  Swap -4 and -93
  List after swap: [-63, -51, -86, -93, -4, -3, 0, 15, 16, 90]

Pass 7:
  Compare -63 and -51
  No swap needed
  Compare -51 and -86
  Swap -51 and -86
  List after swap: [-63, -86, -51, -93, -4, -3, 0, 15, 16, 90]
  Compare -51 and -93
  Swap -51 and -93
  List after swap: [-63, -86, -93, -51, -4, -3, 0, 15, 16, 90]

Pass 8:
  Compare -63 and -86
  Swap -63 and -86
  List after swap: [-86, -63, -93, -51, -4, -3, 0, 15, 16, 90]
  Compare -63 and -93
  Swap -63 and -93
  List after swap: [-86, -93, -63, -51, -4, -3, 0, 15, 16, 90]

Pass 9:
  Compare -86 and -93
  Swap -86 and -93
  List after swap: [-93, -86, -63, -51, -4, -3, 0, 15, 16, 90]

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

Final sorted list: [-93, -86, -63, -51, -4, -3, 0, 15, 16, 90]
</think>

<response>-93, -86, -63, -51, -4, -3, 0, 15, 16, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 94, -23.

output:
<think>
Initial list: [94, -23]

Pass 1:
  Compare 94 and -23
  Swap 94 and -23
  List after swap: [-23, 94]

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

Final sorted list: [-23, 94]
</think>

<response>-23, 94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 97, -64, -45, -70, 3.

output:
<think>
Initial list: [97, -64, -45, -70, 3]

Pass 1:
  Compare 97 and -64
  Swap 97 and -64
  List after swap: [-64, 97, -45, -70, 3]
  Compare 97 and -45
  Swap 97 and -45
  List after swap: [-64, -45, 97, -70, 3]
  Compare 97 and -70
  Swap 97 and -70
  List after swap: [-64, -45, -70, 97, 3]
  Compare 97 and 3
  Swap 97 and 3
  List after swap: [-64, -45, -70, 3, 97]

Pass 2:
  Compare -64 and -45
  No swap needed
  Compare -45 and -70
  Swap -45 and -70
  List after swap: [-64, -70, -45, 3, 97]
  Compare -45 and 3
  No swap needed

Pass 3:
  Compare -64 and -70
  Swap -64 and -70
  List after swap: [-70, -64, -45, 3, 97]
  Compare -64 and -45
  No swap needed

Pass 4:
  Compare -70 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -64, -45, 3, 97]
</think>

<response>-70, -64, -45, 3, 97</response>


input: Carry out the bubble sort algorithm on 26, 8, -47, -34, 56, -29, -61 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [26, 8, -47, -34, 56, -29, -61]

Pass 1:
  Compare 26 and 8
  Swap 26 and 8
  List after swap: [8, 26, -47, -34, 56, -29, -61]
  Compare 26 and -47
  Swap 26 and -47
  List after swap: [8, -47, 26, -34, 56, -29, -61]
  Compare 26 and -34
  Swap 26 and -34
  List after swap: [8, -47, -34, 26, 56, -29, -61]
  Compare 26 and 56
  No swap needed
  Compare 56 and -29
  Swap 56 and -29
  List after swap: [8, -47, -34, 26, -29, 56, -61]
  Compare 56 and -61
  Swap 56 and -61
  List after swap: [8, -47, -34, 26, -29, -61, 56]

Pass 2:
  Compare 8 and -47
  Swap 8 and -47
  List after swap: [-47, 8, -34, 26, -29, -61, 56]
  Compare 8 and -34
  Swap 8 and -34
  List after swap: [-47, -34, 8, 26, -29, -61, 56]
  Compare 8 and 26
  No swap needed
  Compare 26 and -29
  Swap 26 and -29
  List after swap: [-47, -34, 8, -29, 26, -61, 56]
  Compare 26 and -61
  Swap 26 and -61
  List after swap: [-47, -34, 8, -29, -61, 26, 56]

Pass 3:
  Compare -47 and -34
  No swap needed
  Compare -34 and 8
  No swap needed
  Compare 8 and -29
  Swap 8 and -29
  List after swap: [-47, -34, -29, 8, -61, 26, 56]
  Compare 8 and -61
  Swap 8 and -61
  List after swap: [-47, -34, -29, -61, 8, 26, 56]

Pass 4:
  Compare -47 and -34
  No swap needed
  Compare -34 and -29
  No swap needed
  Compare -29 and -61
  Swap -29 and -61
  List after swap: [-47, -34, -61, -29, 8, 26, 56]

Pass 5:
  Compare -47 and -34
  No swap needed
  Compare -34 and -61
  Swap -34 and -61
  List after swap: [-47, -61, -34, -29, 8, 26, 56]

Pass 6:
  Compare -47 and -61
  Swap -47 and -61
  List after swap: [-61, -47, -34, -29, 8, 26, 56]

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

Final sorted list: [-61, -47, -34, -29, 8, 26, 56]
</think>

<response>-61, -47, -34, -29, 8, 26, 56</response>


input: Carry out the bubble sort algorithm on -24, 3, 48, -91, 85, -43, -42 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-24, 3, 48, -91, 85, -43, -42]

Pass 1:
  Compare -24 and 3
  No swap needed
  Compare 3 and 48
  No swap needed
  Compare 48 and -91
  Swap 48 and -91
  List after swap: [-24, 3, -91, 48, 85, -43, -42]
  Compare 48 and 85
  No swap needed
  Compare 85 and -43
  Swap 85 and -43
  List after swap: [-24, 3, -91, 48, -43, 85, -42]
  Compare 85 and -42
  Swap 85 and -42
  List after swap: [-24, 3, -91, 48, -43, -42, 85]

Pass 2:
  Compare -24 and 3
  No swap needed
  Compare 3 and -91
  Swap 3 and -91
  List after swap: [-24, -91, 3, 48, -43, -42, 85]
  Compare 3 and 48
  No swap needed
  Compare 48 and -43
  Swap 48 and -43
  List after swap: [-24, -91, 3, -43, 48, -42, 85]
  Compare 48 and -42
  Swap 48 and -42
  List after swap: [-24, -91, 3, -43, -42, 48, 85]

Pass 3:
  Compare -24 and -91
  Swap -24 and -91
  List after swap: [-91, -24, 3, -43, -42, 48, 85]
  Compare -24 and 3
  No swap needed
  Compare 3 and -43
  Swap 3 and -43
  List after swap: [-91, -24, -43, 3, -42, 48, 85]
  Compare 3 and -42
  Swap 3 and -42
  List after swap: [-91, -24, -43, -42, 3, 48, 85]

Pass 4:
  Compare -91 and -24
  No swap needed
  Compare -24 and -43
  Swap -24 and -43
  List after swap: [-91, -43, -24, -42, 3, 48, 85]
  Compare -24 and -42
  Swap -24 and -42
  List after swap: [-91, -43, -42, -24, 3, 48, 85]

Pass 5:
  Compare -91 and -43
  No swap needed
  Compare -43 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -43, -42, -24, 3, 48, 85]
</think>

<response>-91, -43, -42, -24, 3, 48, 85</response>


input: Demonstrate how bubble sort orders the integers -46, -50, -60, 51, -14, -74, -95, -79 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-46, -50, -60, 51, -14, -74, -95, -79]

Pass 1:
  Compare -46 and -50
  Swap -46 and -50
  List after swap: [-50, -46, -60, 51, -14, -74, -95, -79]
  Compare -46 and -60
  Swap -46 and -60
  List after swap: [-50, -60, -46, 51, -14, -74, -95, -79]
  Compare -46 and 51
  No swap needed
  Compare 51 and -14
  Swap 51 and -14
  List after swap: [-50, -60, -46, -14, 51, -74, -95, -79]
  Compare 51 and -74
  Swap 51 and -74
  List after swap: [-50, -60, -46, -14, -74, 51, -95, -79]
  Compare 51 and -95
  Swap 51 and -95
  List after swap: [-50, -60, -46, -14, -74, -95, 51, -79]
  Compare 51 and -79
  Swap 51 and -79
  List after swap: [-50, -60, -46, -14, -74, -95, -79, 51]

Pass 2:
  Compare -50 and -60
  Swap -50 and -60
  List after swap: [-60, -50, -46, -14, -74, -95, -79, 51]
  Compare -50 and -46
  No swap needed
  Compare -46 and -14
  No swap needed
  Compare -14 and -74
  Swap -14 and -74
  List after swap: [-60, -50, -46, -74, -14, -95, -79, 51]
  Compare -14 and -95
  Swap -14 and -95
  List after swap: [-60, -50, -46, -74, -95, -14, -79, 51]
  Compare -14 and -79
  Swap -14 and -79
  List after swap: [-60, -50, -46, -74, -95, -79, -14, 51]

Pass 3:
  Compare -60 and -50
  No swap needed
  Compare -50 and -46
  No swap needed
  Compare -46 and -74
  Swap -46 and -74
  List after swap: [-60, -50, -74, -46, -95, -79, -14, 51]
  Compare -46 and -95
  Swap -46 and -95
  List after swap: [-60, -50, -74, -95, -46, -79, -14, 51]
  Compare -46 and -79
  Swap -46 and -79
  List after swap: [-60, -50, -74, -95, -79, -46, -14, 51]

Pass 4:
  Compare -60 and -50
  No swap needed
  Compare -50 and -74
  Swap -50 and -74
  List after swap: [-60, -74, -50, -95, -79, -46, -14, 51]
  Compare -50 and -95
  Swap -50 and -95
  List after swap: [-60, -74, -95, -50, -79, -46, -14, 51]
  Compare -50 and -79
  Swap -50 and -79
  List after swap: [-60, -74, -95, -79, -50, -46, -14, 51]

Pass 5:
  Compare -60 and -74
  Swap -60 and -74
  List after swap: [-74, -60, -95, -79, -50, -46, -14, 51]
  Compare -60 and -95
  Swap -60 and -95
  List after swap: [-74, -95, -60, -79, -50, -46, -14, 51]
  Compare -60 and -79
  Swap -60 and -79
  List after swap: [-74, -95, -79, -60, -50, -46, -14, 51]

Pass 6:
  Compare -74 and -95
  Swap -74 and -95
  List after swap: [-95, -74, -79, -60, -50, -46, -14, 51]
  Compare -74 and -79
  Swap -74 and -79
  List after swap: [-95, -79, -74, -60, -50, -46, -14, 51]

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

Final sorted list: [-95, -79, -74, -60, -50, -46, -14, 51]
</think>

<response>-95, -79, -74, -60, -50, -46, -14, 51</response>


input: Perform a bubble sort on the integers 91, -100, -58, -66, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [91, -100, -58, -66]

Pass 1:
  Compare 91 and -100
  Swap 91 and -100
  List after swap: [-100, 91, -58, -66]
  Compare 91 and -58
  Swap 91 and -58
  List after swap: [-100, -58, 91, -66]
  Compare 91 and -66
  Swap 91 and -66
  List after swap: [-100, -58, -66, 91]

Pass 2:
  Compare -100 and -58
  No swap needed
  Compare -58 and -66
  Swap -58 and -66
  List after swap: [-100, -66, -58, 91]

Pass 3:
  Compare -100 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -66, -58, 91]
</think>

<response>-100, -66, -58, 91</response>


input: Implement bubble sort on -2, -66, -23, -16, 46, -71, -90, 44, 12, -9 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-2, -66, -23, -16, 46, -71, -90, 44, 12, -9]

Pass 1:
  Compare -2 and -66
  Swap -2 and -66
  List after swap: [-66, -2, -23, -16, 46, -71, -90, 44, 12, -9]
  Compare -2 and -23
  Swap -2 and -23
  List after swap: [-66, -23, -2, -16, 46, -71, -90, 44, 12, -9]
  Compare -2 and -16
  Swap -2 and -16
  List after swap: [-66, -23, -16, -2, 46, -71, -90, 44, 12, -9]
  Compare -2 and 46
  No swap needed
  Compare 46 and -71
  Swap 46 and -71
  List after swap: [-66, -23, -16, -2, -71, 46, -90, 44, 12, -9]
  Compare 46 and -90
  Swap 46 and -90
  List after swap: [-66, -23, -16, -2, -71, -90, 46, 44, 12, -9]
  Compare 46 and 44
  Swap 46 and 44
  List after swap: [-66, -23, -16, -2, -71, -90, 44, 46, 12, -9]
  Compare 46 and 12
  Swap 46 and 12
  List after swap: [-66, -23, -16, -2, -71, -90, 44, 12, 46, -9]
  Compare 46 and -9
  Swap 46 and -9
  List after swap: [-66, -23, -16, -2, -71, -90, 44, 12, -9, 46]

Pass 2:
  Compare -66 and -23
  No swap needed
  Compare -23 and -16
  No swap needed
  Compare -16 and -2
  No swap needed
  Compare -2 and -71
  Swap -2 and -71
  List after swap: [-66, -23, -16, -71, -2, -90, 44, 12, -9, 46]
  Compare -2 and -90
  Swap -2 and -90
  List after swap: [-66, -23, -16, -71, -90, -2, 44, 12, -9, 46]
  Compare -2 and 44
  No swap needed
  Compare 44 and 12
  Swap 44 and 12
  List after swap: [-66, -23, -16, -71, -90, -2, 12, 44, -9, 46]
  Compare 44 and -9
  Swap 44 and -9
  List after swap: [-66, -23, -16, -71, -90, -2, 12, -9, 44, 46]

Pass 3:
  Compare -66 and -23
  No swap needed
  Compare -23 and -16
  No swap needed
  Compare -16 and -71
  Swap -16 and -71
  List after swap: [-66, -23, -71, -16, -90, -2, 12, -9, 44, 46]
  Compare -16 and -90
  Swap -16 and -90
  List after swap: [-66, -23, -71, -90, -16, -2, 12, -9, 44, 46]
  Compare -16 and -2
  No swap needed
  Compare -2 and 12
  No swap needed
  Compare 12 and -9
  Swap 12 and -9
  List after swap: [-66, -23, -71, -90, -16, -2, -9, 12, 44, 46]

Pass 4:
  Compare -66 and -23
  No swap needed
  Compare -23 and -71
  Swap -23 and -71
  List after swap: [-66, -71, -23, -90, -16, -2, -9, 12, 44, 46]
  Compare -23 and -90
  Swap -23 and -90
  List after swap: [-66, -71, -90, -23, -16, -2, -9, 12, 44, 46]
  Compare -23 and -16
  No swap needed
  Compare -16 and -2
  No swap needed
  Compare -2 and -9
  Swap -2 and -9
  List after swap: [-66, -71, -90, -23, -16, -9, -2, 12, 44, 46]

Pass 5:
  Compare -66 and -71
  Swap -66 and -71
  List after swap: [-71, -66, -90, -23, -16, -9, -2, 12, 44, 46]
  Compare -66 and -90
  Swap -66 and -90
  List after swap: [-71, -90, -66, -23, -16, -9, -2, 12, 44, 46]
  Compare -66 and -23
  No swap needed
  Compare -23 and -16
  No swap needed
  Compare -16 and -9
  No swap needed

Pass 6:
  Compare -71 and -90
  Swap -71 and -90
  List after swap: [-90, -71, -66, -23, -16, -9, -2, 12, 44, 46]
  Compare -71 and -66
  No swap needed
  Compare -66 and -23
  No swap needed
  Compare -23 and -16
  No swap needed

Pass 7:
  Compare -90 and -71
  No swap needed
  Compare -71 and -66
  No swap needed
  Compare -66 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -71, -66, -23, -16, -9, -2, 12, 44, 46]
</think>

<response>-90, -71, -66, -23, -16, -9, -2, 12, 44, 46</response>


input: Sort the list -13, 32, 78, 15 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-13, 32, 78, 15]

Pass 1:
  Compare -13 and 32
  No swap needed
  Compare 32 and 78
  No swap needed
  Compare 78 and 15
  Swap 78 and 15
  List after swap: [-13, 32, 15, 78]

Pass 2:
  Compare -13 and 32
  No swap needed
  Compare 32 and 15
  Swap 32 and 15
  List after swap: [-13, 15, 32, 78]

Pass 3:
  Compare -13 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-13, 15, 32, 78]
</think>

<response>-13, 15, 32, 78</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 40, -25, 8, 7, 67, 80, 71, -1, 64.

output:
<think>
Initial list: [40, -25, 8, 7, 67, 80, 71, -1, 64]

Pass 1:
  Compare 40 and -25
  Swap 40 and -25
  List after swap: [-25, 40, 8, 7, 67, 80, 71, -1, 64]
  Compare 40 and 8
  Swap 40 and 8
  List after swap: [-25, 8, 40, 7, 67, 80, 71, -1, 64]
  Compare 40 and 7
  Swap 40 and 7
  List after swap: [-25, 8, 7, 40, 67, 80, 71, -1, 64]
  Compare 40 and 67
  No swap needed
  Compare 67 and 80
  No swap needed
  Compare 80 and 71
  Swap 80 and 71
  List after swap: [-25, 8, 7, 40, 67, 71, 80, -1, 64]
  Compare 80 and -1
  Swap 80 and -1
  List after swap: [-25, 8, 7, 40, 67, 71, -1, 80, 64]
  Compare 80 and 64
  Swap 80 and 64
  List after swap: [-25, 8, 7, 40, 67, 71, -1, 64, 80]

Pass 2:
  Compare -25 and 8
  No swap needed
  Compare 8 and 7
  Swap 8 and 7
  List after swap: [-25, 7, 8, 40, 67, 71, -1, 64, 80]
  Compare 8 and 40
  No swap needed
  Compare 40 and 67
  No swap needed
  Compare 67 and 71
  No swap needed
  Compare 71 and -1
  Swap 71 and -1
  List after swap: [-25, 7, 8, 40, 67, -1, 71, 64, 80]
  Compare 71 and 64
  Swap 71 and 64
  List after swap: [-25, 7, 8, 40, 67, -1, 64, 71, 80]

Pass 3:
  Compare -25 and 7
  No swap needed
  Compare 7 and 8
  No swap needed
  Compare 8 and 40
  No swap needed
  Compare 40 and 67
  No swap needed
  Compare 67 and -1
  Swap 67 and -1
  List after swap: [-25, 7, 8, 40, -1, 67, 64, 71, 80]
  Compare 67 and 64
  Swap 67 and 64
  List after swap: [-25, 7, 8, 40, -1, 64, 67, 71, 80]

Pass 4:
  Compare -25 and 7
  No swap needed
  Compare 7 and 8
  No swap needed
  Compare 8 and 40
  No swap needed
  Compare 40 and -1
  Swap 40 and -1
  List after swap: [-25, 7, 8, -1, 40, 64, 67, 71, 80]
  Compare 40 and 64
  No swap needed

Pass 5:
  Compare -25 and 7
  No swap needed
  Compare 7 and 8
  No swap needed
  Compare 8 and -1
  Swap 8 and -1
  List after swap: [-25, 7, -1, 8, 40, 64, 67, 71, 80]
  Compare 8 and 40
  No swap needed

Pass 6:
  Compare -25 and 7
  No swap needed
  Compare 7 and -1
  Swap 7 and -1
  List after swap: [-25, -1, 7, 8, 40, 64, 67, 71, 80]
  Compare 7 and 8
  No swap needed

Pass 7:
  Compare -25 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, -1, 7, 8, 40, 64, 67, 71, 80]
</think>

<response>-25, -1, 7, 8, 40, 64, 67, 71, 80</response>


input: Using the bubble sort method, sort 76, -50, 60, -34, -67, 87, -45, 59 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [76, -50, 60, -34, -67, 87, -45, 59]

Pass 1:
  Compare 76 and -50
  Swap 76 and -50
  List after swap: [-50, 76, 60, -34, -67, 87, -45, 59]
  Compare 76 and 60
  Swap 76 and 60
  List after swap: [-50, 60, 76, -34, -67, 87, -45, 59]
  Compare 76 and -34
  Swap 76 and -34
  List after swap: [-50, 60, -34, 76, -67, 87, -45, 59]
  Compare 76 and -67
  Swap 76 and -67
  List after swap: [-50, 60, -34, -67, 76, 87, -45, 59]
  Compare 76 and 87
  No swap needed
  Compare 87 and -45
  Swap 87 and -45
  List after swap: [-50, 60, -34, -67, 76, -45, 87, 59]
  Compare 87 and 59
  Swap 87 and 59
  List after swap: [-50, 60, -34, -67, 76, -45, 59, 87]

Pass 2:
  Compare -50 and 60
  No swap needed
  Compare 60 and -34
  Swap 60 and -34
  List after swap: [-50, -34, 60, -67, 76, -45, 59, 87]
  Compare 60 and -67
  Swap 60 and -67
  List after swap: [-50, -34, -67, 60, 76, -45, 59, 87]
  Compare 60 and 76
  No swap needed
  Compare 76 and -45
  Swap 76 and -45
  List after swap: [-50, -34, -67, 60, -45, 76, 59, 87]
  Compare 76 and 59
  Swap 76 and 59
  List after swap: [-50, -34, -67, 60, -45, 59, 76, 87]

Pass 3:
  Compare -50 and -34
  No swap needed
  Compare -34 and -67
  Swap -34 and -67
  List after swap: [-50, -67, -34, 60, -45, 59, 76, 87]
  Compare -34 and 60
  No swap needed
  Compare 60 and -45
  Swap 60 and -45
  List after swap: [-50, -67, -34, -45, 60, 59, 76, 87]
  Compare 60 and 59
  Swap 60 and 59
  List after swap: [-50, -67, -34, -45, 59, 60, 76, 87]

Pass 4:
  Compare -50 and -67
  Swap -50 and -67
  List after swap: [-67, -50, -34, -45, 59, 60, 76, 87]
  Compare -50 and -34
  No swap needed
  Compare -34 and -45
  Swap -34 and -45
  List after swap: [-67, -50, -45, -34, 59, 60, 76, 87]
  Compare -34 and 59
  No swap needed

Pass 5:
  Compare -67 and -50
  No swap needed
  Compare -50 and -45
  No swap needed
  Compare -45 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -50, -45, -34, 59, 60, 76, 87]
</think>

<response>-67, -50, -45, -34, 59, 60, 76, 87</response>


input: Execute bubble sort to sort -11, -50, -84, -76, 88, 48 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-11, -50, -84, -76, 88, 48]

Pass 1:
  Compare -11 and -50
  Swap -11 and -50
  List after swap: [-50, -11, -84, -76, 88, 48]
  Compare -11 and -84
  Swap -11 and -84
  List after swap: [-50, -84, -11, -76, 88, 48]
  Compare -11 and -76
  Swap -11 and -76
  List after swap: [-50, -84, -76, -11, 88, 48]
  Compare -11 and 88
  No swap needed
  Compare 88 and 48
  Swap 88 and 48
  List after swap: [-50, -84, -76, -11, 48, 88]

Pass 2:
  Compare -50 and -84
  Swap -50 and -84
  List after swap: [-84, -50, -76, -11, 48, 88]
  Compare -50 and -76
  Swap -50 and -76
  List after swap: [-84, -76, -50, -11, 48, 88]
  Compare -50 and -11
  No swap needed
  Compare -11 and 48
  No swap needed

Pass 3:
  Compare -84 and -76
  No swap needed
  Compare -76 and -50
  No swap needed
  Compare -50 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -76, -50, -11, 48, 88]
</think>

<response>-84, -76, -50, -11, 48, 88</response>


input: Implement bubble sort on 49, 3, -80, -3, 80, -97, 39, 82, 99 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [49, 3, -80, -3, 80, -97, 39, 82, 99]

Pass 1:
  Compare 49 and 3
  Swap 49 and 3
  List after swap: [3, 49, -80, -3, 80, -97, 39, 82, 99]
  Compare 49 and -80
  Swap 49 and -80
  List after swap: [3, -80, 49, -3, 80, -97, 39, 82, 99]
  Compare 49 and -3
  Swap 49 and -3
  List after swap: [3, -80, -3, 49, 80, -97, 39, 82, 99]
  Compare 49 and 80
  No swap needed
  Compare 80 and -97
  Swap 80 and -97
  List after swap: [3, -80, -3, 49, -97, 80, 39, 82, 99]
  Compare 80 and 39
  Swap 80 and 39
  List after swap: [3, -80, -3, 49, -97, 39, 80, 82, 99]
  Compare 80 and 82
  No swap needed
  Compare 82 and 99
  No swap needed

Pass 2:
  Compare 3 and -80
  Swap 3 and -80
  List after swap: [-80, 3, -3, 49, -97, 39, 80, 82, 99]
  Compare 3 and -3
  Swap 3 and -3
  List after swap: [-80, -3, 3, 49, -97, 39, 80, 82, 99]
  Compare 3 and 49
  No swap needed
  Compare 49 and -97
  Swap 49 and -97
  List after swap: [-80, -3, 3, -97, 49, 39, 80, 82, 99]
  Compare 49 and 39
  Swap 49 and 39
  List after swap: [-80, -3, 3, -97, 39, 49, 80, 82, 99]
  Compare 49 and 80
  No swap needed
  Compare 80 and 82
  No swap needed

Pass 3:
  Compare -80 and -3
  No swap needed
  Compare -3 and 3
  No swap needed
  Compare 3 and -97
  Swap 3 and -97
  List after swap: [-80, -3, -97, 3, 39, 49, 80, 82, 99]
  Compare 3 and 39
  No swap needed
  Compare 39 and 49
  No swap needed
  Compare 49 and 80
  No swap needed

Pass 4:
  Compare -80 and -3
  No swap needed
  Compare -3 and -97
  Swap -3 and -97
  List after swap: [-80, -97, -3, 3, 39, 49, 80, 82, 99]
  Compare -3 and 3
  No swap needed
  Compare 3 and 39
  No swap needed
  Compare 39 and 49
  No swap needed

Pass 5:
  Compare -80 and -97
  Swap -80 and -97
  List after swap: [-97, -80, -3, 3, 39, 49, 80, 82, 99]
  Compare -80 and -3
  No swap needed
  Compare -3 and 3
  No swap needed
  Compare 3 and 39
  No swap needed

Pass 6:
  Compare -97 and -80
  No swap needed
  Compare -80 and -3
  No swap needed
  Compare -3 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -80, -3, 3, 39, 49, 80, 82, 99]
</think>

<response>-97, -80, -3, 3, 39, 49, 80, 82, 99</response>


input: Implement bubble sort on -16, 65, -87, 62, 90, -5, -52 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-16, 65, -87, 62, 90, -5, -52]

Pass 1:
  Compare -16 and 65
  No swap needed
  Compare 65 and -87
  Swap 65 and -87
  List after swap: [-16, -87, 65, 62, 90, -5, -52]
  Compare 65 and 62
  Swap 65 and 62
  List after swap: [-16, -87, 62, 65, 90, -5, -52]
  Compare 65 and 90
  No swap needed
  Compare 90 and -5
  Swap 90 and -5
  List after swap: [-16, -87, 62, 65, -5, 90, -52]
  Compare 90 and -52
  Swap 90 and -52
  List after swap: [-16, -87, 62, 65, -5, -52, 90]

Pass 2:
  Compare -16 and -87
  Swap -16 and -87
  List after swap: [-87, -16, 62, 65, -5, -52, 90]
  Compare -16 and 62
  No swap needed
  Compare 62 and 65
  No swap needed
  Compare 65 and -5
  Swap 65 and -5
  List after swap: [-87, -16, 62, -5, 65, -52, 90]
  Compare 65 and -52
  Swap 65 and -52
  List after swap: [-87, -16, 62, -5, -52, 65, 90]

Pass 3:
  Compare -87 and -16
  No swap needed
  Compare -16 and 62
  No swap needed
  Compare 62 and -5
  Swap 62 and -5
  List after swap: [-87, -16, -5, 62, -52, 65, 90]
  Compare 62 and -52
  Swap 62 and -52
  List after swap: [-87, -16, -5, -52, 62, 65, 90]

Pass 4:
  Compare -87 and -16
  No swap needed
  Compare -16 and -5
  No swap needed
  Compare -5 and -52
  Swap -5 and -52
  List after swap: [-87, -16, -52, -5, 62, 65, 90]

Pass 5:
  Compare -87 and -16
  No swap needed
  Compare -16 and -52
  Swap -16 and -52
  List after swap: [-87, -52, -16, -5, 62, 65, 90]

Pass 6:
  Compare -87 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -52, -16, -5, 62, 65, 90]
</think>

<response>-87, -52, -16, -5, 62, 65, 90</response>


input: Implement bubble sort on -20, 94, 66, -77, -53, 48, 77, 97, 83, 33 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-20, 94, 66, -77, -53, 48, 77, 97, 83, 33]

Pass 1:
  Compare -20 and 94
  No swap needed
  Compare 94 and 66
  Swap 94 and 66
  List after swap: [-20, 66, 94, -77, -53, 48, 77, 97, 83, 33]
  Compare 94 and -77
  Swap 94 and -77
  List after swap: [-20, 66, -77, 94, -53, 48, 77, 97, 83, 33]
  Compare 94 and -53
  Swap 94 and -53
  List after swap: [-20, 66, -77, -53, 94, 48, 77, 97, 83, 33]
  Compare 94 and 48
  Swap 94 and 48
  List after swap: [-20, 66, -77, -53, 48, 94, 77, 97, 83, 33]
  Compare 94 and 77
  Swap 94 and 77
  List after swap: [-20, 66, -77, -53, 48, 77, 94, 97, 83, 33]
  Compare 94 and 97
  No swap needed
  Compare 97 and 83
  Swap 97 and 83
  List after swap: [-20, 66, -77, -53, 48, 77, 94, 83, 97, 33]
  Compare 97 and 33
  Swap 97 and 33
  List after swap: [-20, 66, -77, -53, 48, 77, 94, 83, 33, 97]

Pass 2:
  Compare -20 and 66
  No swap needed
  Compare 66 and -77
  Swap 66 and -77
  List after swap: [-20, -77, 66, -53, 48, 77, 94, 83, 33, 97]
  Compare 66 and -53
  Swap 66 and -53
  List after swap: [-20, -77, -53, 66, 48, 77, 94, 83, 33, 97]
  Compare 66 and 48
  Swap 66 and 48
  List after swap: [-20, -77, -53, 48, 66, 77, 94, 83, 33, 97]
  Compare 66 and 77
  No swap needed
  Compare 77 and 94
  No swap needed
  Compare 94 and 83
  Swap 94 and 83
  List after swap: [-20, -77, -53, 48, 66, 77, 83, 94, 33, 97]
  Compare 94 and 33
  Swap 94 and 33
  List after swap: [-20, -77, -53, 48, 66, 77, 83, 33, 94, 97]

Pass 3:
  Compare -20 and -77
  Swap -20 and -77
  List after swap: [-77, -20, -53, 48, 66, 77, 83, 33, 94, 97]
  Compare -20 and -53
  Swap -20 and -53
  List after swap: [-77, -53, -20, 48, 66, 77, 83, 33, 94, 97]
  Compare -20 and 48
  No swap needed
  Compare 48 and 66
  No swap needed
  Compare 66 and 77
  No swap needed
  Compare 77 and 83
  No swap needed
  Compare 83 and 33
  Swap 83 and 33
  List after swap: [-77, -53, -20, 48, 66, 77, 33, 83, 94, 97]

Pass 4:
  Compare -77 and -53
  No swap needed
  Compare -53 and -20
  No swap needed
  Compare -20 and 48
  No swap needed
  Compare 48 and 66
  No swap needed
  Compare 66 and 77
  No swap needed
  Compare 77 and 33
  Swap 77 and 33
  List after swap: [-77, -53, -20, 48, 66, 33, 77, 83, 94, 97]

Pass 5:
  Compare -77 and -53
  No swap needed
  Compare -53 and -20
  No swap needed
  Compare -20 and 48
  No swap needed
  Compare 48 and 66
  No swap needed
  Compare 66 and 33
  Swap 66 and 33
  List after swap: [-77, -53, -20, 48, 33, 66, 77, 83, 94, 97]

Pass 6:
  Compare -77 and -53
  No swap needed
  Compare -53 and -20
  No swap needed
  Compare -20 and 48
  No swap needed
  Compare 48 and 33
  Swap 48 and 33
  List after swap: [-77, -53, -20, 33, 48, 66, 77, 83, 94, 97]

Pass 7:
  Compare -77 and -53
  No swap needed
  Compare -53 and -20
  No swap needed
  Compare -20 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -53, -20, 33, 48, 66, 77, 83, 94, 97]
</think>

<response>-77, -53, -20, 33, 48, 66, 77, 83, 94, 97</response>


input: Arrange the numbers -19, -15, -79, -7 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-19, -15, -79, -7]

Pass 1:
  Compare -19 and -15
  No swap needed
  Compare -15 and -79
  Swap -15 and -79
  List after swap: [-19, -79, -15, -7]
  Compare -15 and -7
  No swap needed

Pass 2:
  Compare -19 and -79
  Swap -19 and -79
  List after swap: [-79, -19, -15, -7]
  Compare -19 and -15
  No swap needed

Pass 3:
  Compare -79 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -19, -15, -7]
</think>

<response>-79, -19, -15, -7</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -42, -87.

output:
<think>
Initial list: [-42, -87]

Pass 1:
  Compare -42 and -87
  Swap -42 and -87
  List after swap: [-87, -42]

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

Final sorted list: [-87, -42]
</think>

<response>-87, -42</response>


input: Carry out the bubble sort algorithm on -65, 46, -19, -79, -92, -12 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-65, 46, -19, -79, -92, -12]

Pass 1:
  Compare -65 and 46
  No swap needed
  Compare 46 and -19
  Swap 46 and -19
  List after swap: [-65, -19, 46, -79, -92, -12]
  Compare 46 and -79
  Swap 46 and -79
  List after swap: [-65, -19, -79, 46, -92, -12]
  Compare 46 and -92
  Swap 46 and -92
  List after swap: [-65, -19, -79, -92, 46, -12]
  Compare 46 and -12
  Swap 46 and -12
  List after swap: [-65, -19, -79, -92, -12, 46]

Pass 2:
  Compare -65 and -19
  No swap needed
  Compare -19 and -79
  Swap -19 and -79
  List after swap: [-65, -79, -19, -92, -12, 46]
  Compare -19 and -92
  Swap -19 and -92
  List after swap: [-65, -79, -92, -19, -12, 46]
  Compare -19 and -12
  No swap needed

Pass 3:
  Compare -65 and -79
  Swap -65 and -79
  List after swap: [-79, -65, -92, -19, -12, 46]
  Compare -65 and -92
  Swap -65 and -92
  List after swap: [-79, -92, -65, -19, -12, 46]
  Compare -65 and -19
  No swap needed

Pass 4:
  Compare -79 and -92
  Swap -79 and -92
  List after swap: [-92, -79, -65, -19, -12, 46]
  Compare -79 and -65
  No swap needed

Pass 5:
  Compare -92 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -79, -65, -19, -12, 46]
</think>

<response>-92, -79, -65, -19, -12, 46</response>


input: Perform a bubble sort on the integers 79, -2, -62, 51, -93, 11, 97, -37, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [79, -2, -62, 51, -93, 11, 97, -37]

Pass 1:
  Compare 79 and -2
  Swap 79 and -2
  List after swap: [-2, 79, -62, 51, -93, 11, 97, -37]
  Compare 79 and -62
  Swap 79 and -62
  List after swap: [-2, -62, 79, 51, -93, 11, 97, -37]
  Compare 79 and 51
  Swap 79 and 51
  List after swap: [-2, -62, 51, 79, -93, 11, 97, -37]
  Compare 79 and -93
  Swap 79 and -93
  List after swap: [-2, -62, 51, -93, 79, 11, 97, -37]
  Compare 79 and 11
  Swap 79 and 11
  List after swap: [-2, -62, 51, -93, 11, 79, 97, -37]
  Compare 79 and 97
  No swap needed
  Compare 97 and -37
  Swap 97 and -37
  List after swap: [-2, -62, 51, -93, 11, 79, -37, 97]

Pass 2:
  Compare -2 and -62
  Swap -2 and -62
  List after swap: [-62, -2, 51, -93, 11, 79, -37, 97]
  Compare -2 and 51
  No swap needed
  Compare 51 and -93
  Swap 51 and -93
  List after swap: [-62, -2, -93, 51, 11, 79, -37, 97]
  Compare 51 and 11
  Swap 51 and 11
  List after swap: [-62, -2, -93, 11, 51, 79, -37, 97]
  Compare 51 and 79
  No swap needed
  Compare 79 and -37
  Swap 79 and -37
  List after swap: [-62, -2, -93, 11, 51, -37, 79, 97]

Pass 3:
  Compare -62 and -2
  No swap needed
  Compare -2 and -93
  Swap -2 and -93
  List after swap: [-62, -93, -2, 11, 51, -37, 79, 97]
  Compare -2 and 11
  No swap needed
  Compare 11 and 51
  No swap needed
  Compare 51 and -37
  Swap 51 and -37
  List after swap: [-62, -93, -2, 11, -37, 51, 79, 97]

Pass 4:
  Compare -62 and -93
  Swap -62 and -93
  List after swap: [-93, -62, -2, 11, -37, 51, 79, 97]
  Compare -62 and -2
  No swap needed
  Compare -2 and 11
  No swap needed
  Compare 11 and -37
  Swap 11 and -37
  List after swap: [-93, -62, -2, -37, 11, 51, 79, 97]

Pass 5:
  Compare -93 and -62
  No swap needed
  Compare -62 and -2
  No swap needed
  Compare -2 and -37
  Swap -2 and -37
  List after swap: [-93, -62, -37, -2, 11, 51, 79, 97]

Pass 6:
  Compare -93 and -62
  No swap needed
  Compare -62 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -62, -37, -2, 11, 51, 79, 97]
</think>

<response>-93, -62, -37, -2, 11, 51, 79, 97</response>


input: Using the bubble sort method, sort -31, -49, -30, 17, 38 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-31, -49, -30, 17, 38]

Pass 1:
  Compare -31 and -49
  Swap -31 and -49
  List after swap: [-49, -31, -30, 17, 38]
  Compare -31 and -30
  No swap needed
  Compare -30 and 17
  No swap needed
  Compare 17 and 38
  No swap needed

Pass 2:
  Compare -49 and -31
  No swap needed
  Compare -31 and -30
  No swap needed
  Compare -30 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -31, -30, 17, 38]
</think>

<response>-49, -31, -30, 17, 38</response>


input: Demonstrate how bubble sort orders the integers 25, -100, 84, 79, -49, 45, -6, 60 in ascending sequence, showing all steps.

output:
<think>
Initial list: [25, -100, 84, 79, -49, 45, -6, 60]

Pass 1:
  Compare 25 and -100
  Swap 25 and -100
  List after swap: [-100, 25, 84, 79, -49, 45, -6, 60]
  Compare 25 and 84
  No swap needed
  Compare 84 and 79
  Swap 84 and 79
  List after swap: [-100, 25, 79, 84, -49, 45, -6, 60]
  Compare 84 and -49
  Swap 84 and -49
  List after swap: [-100, 25, 79, -49, 84, 45, -6, 60]
  Compare 84 and 45
  Swap 84 and 45
  List after swap: [-100, 25, 79, -49, 45, 84, -6, 60]
  Compare 84 and -6
  Swap 84 and -6
  List after swap: [-100, 25, 79, -49, 45, -6, 84, 60]
  Compare 84 and 60
  Swap 84 and 60
  List after swap: [-100, 25, 79, -49, 45, -6, 60, 84]

Pass 2:
  Compare -100 and 25
  No swap needed
  Compare 25 and 79
  No swap needed
  Compare 79 and -49
  Swap 79 and -49
  List after swap: [-100, 25, -49, 79, 45, -6, 60, 84]
  Compare 79 and 45
  Swap 79 and 45
  List after swap: [-100, 25, -49, 45, 79, -6, 60, 84]
  Compare 79 and -6
  Swap 79 and -6
  List after swap: [-100, 25, -49, 45, -6, 79, 60, 84]
  Compare 79 and 60
  Swap 79 and 60
  List after swap: [-100, 25, -49, 45, -6, 60, 79, 84]

Pass 3:
  Compare -100 and 25
  No swap needed
  Compare 25 and -49
  Swap 25 and -49
  List after swap: [-100, -49, 25, 45, -6, 60, 79, 84]
  Compare 25 and 45
  No swap needed
  Compare 45 and -6
  Swap 45 and -6
  List after swap: [-100, -49, 25, -6, 45, 60, 79, 84]
  Compare 45 and 60
  No swap needed

Pass 4:
  Compare -100 and -49
  No swap needed
  Compare -49 and 25
  No swap needed
  Compare 25 and -6
  Swap 25 and -6
  List after swap: [-100, -49, -6, 25, 45, 60, 79, 84]
  Compare 25 and 45
  No swap needed

Pass 5:
  Compare -100 and -49
  No swap needed
  Compare -49 and -6
  No swap needed
  Compare -6 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -49, -6, 25, 45, 60, 79, 84]
</think>

<response>-100, -49, -6, 25, 45, 60, 79, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 31, 90, -30, 66, -17, 73, 57, 5, 43.

output:
<think>
Initial list: [31, 90, -30, 66, -17, 73, 57, 5, 43]

Pass 1:
  Compare 31 and 90
  No swap needed
  Compare 90 and -30
  Swap 90 and -30
  List after swap: [31, -30, 90, 66, -17, 73, 57, 5, 43]
  Compare 90 and 66
  Swap 90 and 66
  List after swap: [31, -30, 66, 90, -17, 73, 57, 5, 43]
  Compare 90 and -17
  Swap 90 and -17
  List after swap: [31, -30, 66, -17, 90, 73, 57, 5, 43]
  Compare 90 and 73
  Swap 90 and 73
  List after swap: [31, -30, 66, -17, 73, 90, 57, 5, 43]
  Compare 90 and 57
  Swap 90 and 57
  List after swap: [31, -30, 66, -17, 73, 57, 90, 5, 43]
  Compare 90 and 5
  Swap 90 and 5
  List after swap: [31, -30, 66, -17, 73, 57, 5, 90, 43]
  Compare 90 and 43
  Swap 90 and 43
  List after swap: [31, -30, 66, -17, 73, 57, 5, 43, 90]

Pass 2:
  Compare 31 and -30
  Swap 31 and -30
  List after swap: [-30, 31, 66, -17, 73, 57, 5, 43, 90]
  Compare 31 and 66
  No swap needed
  Compare 66 and -17
  Swap 66 and -17
  List after swap: [-30, 31, -17, 66, 73, 57, 5, 43, 90]
  Compare 66 and 73
  No swap needed
  Compare 73 and 57
  Swap 73 and 57
  List after swap: [-30, 31, -17, 66, 57, 73, 5, 43, 90]
  Compare 73 and 5
  Swap 73 and 5
  List after swap: [-30, 31, -17, 66, 57, 5, 73, 43, 90]
  Compare 73 and 43
  Swap 73 and 43
  List after swap: [-30, 31, -17, 66, 57, 5, 43, 73, 90]

Pass 3:
  Compare -30 and 31
  No swap needed
  Compare 31 and -17
  Swap 31 and -17
  List after swap: [-30, -17, 31, 66, 57, 5, 43, 73, 90]
  Compare 31 and 66
  No swap needed
  Compare 66 and 57
  Swap 66 and 57
  List after swap: [-30, -17, 31, 57, 66, 5, 43, 73, 90]
  Compare 66 and 5
  Swap 66 and 5
  List after swap: [-30, -17, 31, 57, 5, 66, 43, 73, 90]
  Compare 66 and 43
  Swap 66 and 43
  List after swap: [-30, -17, 31, 57, 5, 43, 66, 73, 90]

Pass 4:
  Compare -30 and -17
  No swap needed
  Compare -17 and 31
  No swap needed
  Compare 31 and 57
  No swap needed
  Compare 57 and 5
  Swap 57 and 5
  List after swap: [-30, -17, 31, 5, 57, 43, 66, 73, 90]
  Compare 57 and 43
  Swap 57 and 43
  List after swap: [-30, -17, 31, 5, 43, 57, 66, 73, 90]

Pass 5:
  Compare -30 and -17
  No swap needed
  Compare -17 and 31
  No swap needed
  Compare 31 and 5
  Swap 31 and 5
  List after swap: [-30, -17, 5, 31, 43, 57, 66, 73, 90]
  Compare 31 and 43
  No swap needed

Pass 6:
  Compare -30 and -17
  No swap needed
  Compare -17 and 5
  No swap needed
  Compare 5 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -17, 5, 31, 43, 57, 66, 73, 90]
</think>

<response>-30, -17, 5, 31, 43, 57, 66, 73, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 76, 35, -22, -70, -79, 29.

output:
<think>
Initial list: [76, 35, -22, -70, -79, 29]

Pass 1:
  Compare 76 and 35
  Swap 76 and 35
  List after swap: [35, 76, -22, -70, -79, 29]
  Compare 76 and -22
  Swap 76 and -22
  List after swap: [35, -22, 76, -70, -79, 29]
  Compare 76 and -70
  Swap 76 and -70
  List after swap: [35, -22, -70, 76, -79, 29]
  Compare 76 and -79
  Swap 76 and -79
  List after swap: [35, -22, -70, -79, 76, 29]
  Compare 76 and 29
  Swap 76 and 29
  List after swap: [35, -22, -70, -79, 29, 76]

Pass 2:
  Compare 35 and -22
  Swap 35 and -22
  List after swap: [-22, 35, -70, -79, 29, 76]
  Compare 35 and -70
  Swap 35 and -70
  List after swap: [-22, -70, 35, -79, 29, 76]
  Compare 35 and -79
  Swap 35 and -79
  List after swap: [-22, -70, -79, 35, 29, 76]
  Compare 35 and 29
  Swap 35 and 29
  List after swap: [-22, -70, -79, 29, 35, 76]

Pass 3:
  Compare -22 and -70
  Swap -22 and -70
  List after swap: [-70, -22, -79, 29, 35, 76]
  Compare -22 and -79
  Swap -22 and -79
  List after swap: [-70, -79, -22, 29, 35, 76]
  Compare -22 and 29
  No swap needed

Pass 4:
  Compare -70 and -79
  Swap -70 and -79
  List after swap: [-79, -70, -22, 29, 35, 76]
  Compare -70 and -22
  No swap needed

Pass 5:
  Compare -79 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -70, -22, 29, 35, 76]
</think>

<response>-79, -70, -22, 29, 35, 76</response>


input: Using the bubble sort method, sort -4, 34 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-4, 34]

Pass 1:
  Compare -4 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-4, 34]
</think>

<response>-4, 34</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 92, 44, 95, 46, 40, 59, 71, -24, 19, 47.

output:
<think>
Initial list: [92, 44, 95, 46, 40, 59, 71, -24, 19, 47]

Pass 1:
  Compare 92 and 44
  Swap 92 and 44
  List after swap: [44, 92, 95, 46, 40, 59, 71, -24, 19, 47]
  Compare 92 and 95
  No swap needed
  Compare 95 and 46
  Swap 95 and 46
  List after swap: [44, 92, 46, 95, 40, 59, 71, -24, 19, 47]
  Compare 95 and 40
  Swap 95 and 40
  List after swap: [44, 92, 46, 40, 95, 59, 71, -24, 19, 47]
  Compare 95 and 59
  Swap 95 and 59
  List after swap: [44, 92, 46, 40, 59, 95, 71, -24, 19, 47]
  Compare 95 and 71
  Swap 95 and 71
  List after swap: [44, 92, 46, 40, 59, 71, 95, -24, 19, 47]
  Compare 95 and -24
  Swap 95 and -24
  List after swap: [44, 92, 46, 40, 59, 71, -24, 95, 19, 47]
  Compare 95 and 19
  Swap 95 and 19
  List after swap: [44, 92, 46, 40, 59, 71, -24, 19, 95, 47]
  Compare 95 and 47
  Swap 95 and 47
  List after swap: [44, 92, 46, 40, 59, 71, -24, 19, 47, 95]

Pass 2:
  Compare 44 and 92
  No swap needed
  Compare 92 and 46
  Swap 92 and 46
  List after swap: [44, 46, 92, 40, 59, 71, -24, 19, 47, 95]
  Compare 92 and 40
  Swap 92 and 40
  List after swap: [44, 46, 40, 92, 59, 71, -24, 19, 47, 95]
  Compare 92 and 59
  Swap 92 and 59
  List after swap: [44, 46, 40, 59, 92, 71, -24, 19, 47, 95]
  Compare 92 and 71
  Swap 92 and 71
  List after swap: [44, 46, 40, 59, 71, 92, -24, 19, 47, 95]
  Compare 92 and -24
  Swap 92 and -24
  List after swap: [44, 46, 40, 59, 71, -24, 92, 19, 47, 95]
  Compare 92 and 19
  Swap 92 and 19
  List after swap: [44, 46, 40, 59, 71, -24, 19, 92, 47, 95]
  Compare 92 and 47
  Swap 92 and 47
  List after swap: [44, 46, 40, 59, 71, -24, 19, 47, 92, 95]

Pass 3:
  Compare 44 and 46
  No swap needed
  Compare 46 and 40
  Swap 46 and 40
  List after swap: [44, 40, 46, 59, 71, -24, 19, 47, 92, 95]
  Compare 46 and 59
  No swap needed
  Compare 59 and 71
  No swap needed
  Compare 71 and -24
  Swap 71 and -24
  List after swap: [44, 40, 46, 59, -24, 71, 19, 47, 92, 95]
  Compare 71 and 19
  Swap 71 and 19
  List after swap: [44, 40, 46, 59, -24, 19, 71, 47, 92, 95]
  Compare 71 and 47
  Swap 71 and 47
  List after swap: [44, 40, 46, 59, -24, 19, 47, 71, 92, 95]

Pass 4:
  Compare 44 and 40
  Swap 44 and 40
  List after swap: [40, 44, 46, 59, -24, 19, 47, 71, 92, 95]
  Compare 44 and 46
  No swap needed
  Compare 46 and 59
  No swap needed
  Compare 59 and -24
  Swap 59 and -24
  List after swap: [40, 44, 46, -24, 59, 19, 47, 71, 92, 95]
  Compare 59 and 19
  Swap 59 and 19
  List after swap: [40, 44, 46, -24, 19, 59, 47, 71, 92, 95]
  Compare 59 and 47
  Swap 59 and 47
  List after swap: [40, 44, 46, -24, 19, 47, 59, 71, 92, 95]

Pass 5:
  Compare 40 and 44
  No swap needed
  Compare 44 and 46
  No swap needed
  Compare 46 and -24
  Swap 46 and -24
  List after swap: [40, 44, -24, 46, 19, 47, 59, 71, 92, 95]
  Compare 46 and 19
  Swap 46 and 19
  List after swap: [40, 44, -24, 19, 46, 47, 59, 71, 92, 95]
  Compare 46 and 47
  No swap needed

Pass 6:
  Compare 40 and 44
  No swap needed
  Compare 44 and -24
  Swap 44 and -24
  List after swap: [40, -24, 44, 19, 46, 47, 59, 71, 92, 95]
  Compare 44 and 19
  Swap 44 and 19
  List after swap: [40, -24, 19, 44, 46, 47, 59, 71, 92, 95]
  Compare 44 and 46
  No swap needed

Pass 7:
  Compare 40 and -24
  Swap 40 and -24
  List after swap: [-24, 40, 19, 44, 46, 47, 59, 71, 92, 95]
  Compare 40 and 19
  Swap 40 and 19
  List after swap: [-24, 19, 40, 44, 46, 47, 59, 71, 92, 95]
  Compare 40 and 44
  No swap needed

Pass 8:
  Compare -24 and 19
  No swap needed
  Compare 19 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, 19, 40, 44, 46, 47, 59, 71, 92, 95]
</think>

<response>-24, 19, 40, 44, 46, 47, 59, 71, 92, 95</response>


input: Arrange the numbers 58, -85, -60, 98, -18, 6, -31, 93 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [58, -85, -60, 98, -18, 6, -31, 93]

Pass 1:
  Compare 58 and -85
  Swap 58 and -85
  List after swap: [-85, 58, -60, 98, -18, 6, -31, 93]
  Compare 58 and -60
  Swap 58 and -60
  List after swap: [-85, -60, 58, 98, -18, 6, -31, 93]
  Compare 58 and 98
  No swap needed
  Compare 98 and -18
  Swap 98 and -18
  List after swap: [-85, -60, 58, -18, 98, 6, -31, 93]
  Compare 98 and 6
  Swap 98 and 6
  List after swap: [-85, -60, 58, -18, 6, 98, -31, 93]
  Compare 98 and -31
  Swap 98 and -31
  List after swap: [-85, -60, 58, -18, 6, -31, 98, 93]
  Compare 98 and 93
  Swap 98 and 93
  List after swap: [-85, -60, 58, -18, 6, -31, 93, 98]

Pass 2:
  Compare -85 and -60
  No swap needed
  Compare -60 and 58
  No swap needed
  Compare 58 and -18
  Swap 58 and -18
  List after swap: [-85, -60, -18, 58, 6, -31, 93, 98]
  Compare 58 and 6
  Swap 58 and 6
  List after swap: [-85, -60, -18, 6, 58, -31, 93, 98]
  Compare 58 and -31
  Swap 58 and -31
  List after swap: [-85, -60, -18, 6, -31, 58, 93, 98]
  Compare 58 and 93
  No swap needed

Pass 3:
  Compare -85 and -60
  No swap needed
  Compare -60 and -18
  No swap needed
  Compare -18 and 6
  No swap needed
  Compare 6 and -31
  Swap 6 and -31
  List after swap: [-85, -60, -18, -31, 6, 58, 93, 98]
  Compare 6 and 58
  No swap needed

Pass 4:
  Compare -85 and -60
  No swap needed
  Compare -60 and -18
  No swap needed
  Compare -18 and -31
  Swap -18 and -31
  List after swap: [-85, -60, -31, -18, 6, 58, 93, 98]
  Compare -18 and 6
  No swap needed

Pass 5:
  Compare -85 and -60
  No swap needed
  Compare -60 and -31
  No swap needed
  Compare -31 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -60, -31, -18, 6, 58, 93, 98]
</think>

<response>-85, -60, -31, -18, 6, 58, 93, 98</response>


input: Sort the list -34, 86, -1, -10 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-34, 86, -1, -10]

Pass 1:
  Compare -34 and 86
  No swap needed
  Compare 86 and -1
  Swap 86 and -1
  List after swap: [-34, -1, 86, -10]
  Compare 86 and -10
  Swap 86 and -10
  List after swap: [-34, -1, -10, 86]

Pass 2:
  Compare -34 and -1
  No swap needed
  Compare -1 and -10
  Swap -1 and -10
  List after swap: [-34, -10, -1, 86]

Pass 3:
  Compare -34 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, -10, -1, 86]
</think>

<response>-34, -10, -1, 86</response>


input: Sort the list 49, 82, -11, -47, -66, 36, 17, -65 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [49, 82, -11, -47, -66, 36, 17, -65]

Pass 1:
  Compare 49 and 82
  No swap needed
  Compare 82 and -11
  Swap 82 and -11
  List after swap: [49, -11, 82, -47, -66, 36, 17, -65]
  Compare 82 and -47
  Swap 82 and -47
  List after swap: [49, -11, -47, 82, -66, 36, 17, -65]
  Compare 82 and -66
  Swap 82 and -66
  List after swap: [49, -11, -47, -66, 82, 36, 17, -65]
  Compare 82 and 36
  Swap 82 and 36
  List after swap: [49, -11, -47, -66, 36, 82, 17, -65]
  Compare 82 and 17
  Swap 82 and 17
  List after swap: [49, -11, -47, -66, 36, 17, 82, -65]
  Compare 82 and -65
  Swap 82 and -65
  List after swap: [49, -11, -47, -66, 36, 17, -65, 82]

Pass 2:
  Compare 49 and -11
  Swap 49 and -11
  List after swap: [-11, 49, -47, -66, 36, 17, -65, 82]
  Compare 49 and -47
  Swap 49 and -47
  List after swap: [-11, -47, 49, -66, 36, 17, -65, 82]
  Compare 49 and -66
  Swap 49 and -66
  List after swap: [-11, -47, -66, 49, 36, 17, -65, 82]
  Compare 49 and 36
  Swap 49 and 36
  List after swap: [-11, -47, -66, 36, 49, 17, -65, 82]
  Compare 49 and 17
  Swap 49 and 17
  List after swap: [-11, -47, -66, 36, 17, 49, -65, 82]
  Compare 49 and -65
  Swap 49 and -65
  List after swap: [-11, -47, -66, 36, 17, -65, 49, 82]

Pass 3:
  Compare -11 and -47
  Swap -11 and -47
  List after swap: [-47, -11, -66, 36, 17, -65, 49, 82]
  Compare -11 and -66
  Swap -11 and -66
  List after swap: [-47, -66, -11, 36, 17, -65, 49, 82]
  Compare -11 and 36
  No swap needed
  Compare 36 and 17
  Swap 36 and 17
  List after swap: [-47, -66, -11, 17, 36, -65, 49, 82]
  Compare 36 and -65
  Swap 36 and -65
  List after swap: [-47, -66, -11, 17, -65, 36, 49, 82]

Pass 4:
  Compare -47 and -66
  Swap -47 and -66
  List after swap: [-66, -47, -11, 17, -65, 36, 49, 82]
  Compare -47 and -11
  No swap needed
  Compare -11 and 17
  No swap needed
  Compare 17 and -65
  Swap 17 and -65
  List after swap: [-66, -47, -11, -65, 17, 36, 49, 82]

Pass 5:
  Compare -66 and -47
  No swap needed
  Compare -47 and -11
  No swap needed
  Compare -11 and -65
  Swap -11 and -65
  List after swap: [-66, -47, -65, -11, 17, 36, 49, 82]

Pass 6:
  Compare -66 and -47
  No swap needed
  Compare -47 and -65
  Swap -47 and -65
  List after swap: [-66, -65, -47, -11, 17, 36, 49, 82]

Pass 7:
  Compare -66 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -65, -47, -11, 17, 36, 49, 82]
</think>

<response>-66, -65, -47, -11, 17, 36, 49, 82</response>


input: Execute bubble sort to sort -65, -63, 23, -96, -42, -13, -14, -85 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-65, -63, 23, -96, -42, -13, -14, -85]

Pass 1:
  Compare -65 and -63
  No swap needed
  Compare -63 and 23
  No swap needed
  Compare 23 and -96
  Swap 23 and -96
  List after swap: [-65, -63, -96, 23, -42, -13, -14, -85]
  Compare 23 and -42
  Swap 23 and -42
  List after swap: [-65, -63, -96, -42, 23, -13, -14, -85]
  Compare 23 and -13
  Swap 23 and -13
  List after swap: [-65, -63, -96, -42, -13, 23, -14, -85]
  Compare 23 and -14
  Swap 23 and -14
  List after swap: [-65, -63, -96, -42, -13, -14, 23, -85]
  Compare 23 and -85
  Swap 23 and -85
  List after swap: [-65, -63, -96, -42, -13, -14, -85, 23]

Pass 2:
  Compare -65 and -63
  No swap needed
  Compare -63 and -96
  Swap -63 and -96
  List after swap: [-65, -96, -63, -42, -13, -14, -85, 23]
  Compare -63 and -42
  No swap needed
  Compare -42 and -13
  No swap needed
  Compare -13 and -14
  Swap -13 and -14
  List after swap: [-65, -96, -63, -42, -14, -13, -85, 23]
  Compare -13 and -85
  Swap -13 and -85
  List after swap: [-65, -96, -63, -42, -14, -85, -13, 23]

Pass 3:
  Compare -65 and -96
  Swap -65 and -96
  List after swap: [-96, -65, -63, -42, -14, -85, -13, 23]
  Compare -65 and -63
  No swap needed
  Compare -63 and -42
  No swap needed
  Compare -42 and -14
  No swap needed
  Compare -14 and -85
  Swap -14 and -85
  List after swap: [-96, -65, -63, -42, -85, -14, -13, 23]

Pass 4:
  Compare -96 and -65
  No swap needed
  Compare -65 and -63
  No swap needed
  Compare -63 and -42
  No swap needed
  Compare -42 and -85
  Swap -42 and -85
  List after swap: [-96, -65, -63, -85, -42, -14, -13, 23]

Pass 5:
  Compare -96 and -65
  No swap needed
  Compare -65 and -63
  No swap needed
  Compare -63 and -85
  Swap -63 and -85
  List after swap: [-96, -65, -85, -63, -42, -14, -13, 23]

Pass 6:
  Compare -96 and -65
  No swap needed
  Compare -65 and -85
  Swap -65 and -85
  List after swap: [-96, -85, -65, -63, -42, -14, -13, 23]

Pass 7:
  Compare -96 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -85, -65, -63, -42, -14, -13, 23]
</think>

<response>-96, -85, -65, -63, -42, -14, -13, 23</response>


input: Carry out the bubble sort algorithm on -41, -63, -68, 83, -70, -80, 72 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-41, -63, -68, 83, -70, -80, 72]

Pass 1:
  Compare -41 and -63
  Swap -41 and -63
  List after swap: [-63, -41, -68, 83, -70, -80, 72]
  Compare -41 and -68
  Swap -41 and -68
  List after swap: [-63, -68, -41, 83, -70, -80, 72]
  Compare -41 and 83
  No swap needed
  Compare 83 and -70
  Swap 83 and -70
  List after swap: [-63, -68, -41, -70, 83, -80, 72]
  Compare 83 and -80
  Swap 83 and -80
  List after swap: [-63, -68, -41, -70, -80, 83, 72]
  Compare 83 and 72
  Swap 83 and 72
  List after swap: [-63, -68, -41, -70, -80, 72, 83]

Pass 2:
  Compare -63 and -68
  Swap -63 and -68
  List after swap: [-68, -63, -41, -70, -80, 72, 83]
  Compare -63 and -41
  No swap needed
  Compare -41 and -70
  Swap -41 and -70
  List after swap: [-68, -63, -70, -41, -80, 72, 83]
  Compare -41 and -80
  Swap -41 and -80
  List after swap: [-68, -63, -70, -80, -41, 72, 83]
  Compare -41 and 72
  No swap needed

Pass 3:
  Compare -68 and -63
  No swap needed
  Compare -63 and -70
  Swap -63 and -70
  List after swap: [-68, -70, -63, -80, -41, 72, 83]
  Compare -63 and -80
  Swap -63 and -80
  List after swap: [-68, -70, -80, -63, -41, 72, 83]
  Compare -63 and -41
  No swap needed

Pass 4:
  Compare -68 and -70
  Swap -68 and -70
  List after swap: [-70, -68, -80, -63, -41, 72, 83]
  Compare -68 and -80
  Swap -68 and -80
  List after swap: [-70, -80, -68, -63, -41, 72, 83]
  Compare -68 and -63
  No swap needed

Pass 5:
  Compare -70 and -80
  Swap -70 and -80
  List after swap: [-80, -70, -68, -63, -41, 72, 83]
  Compare -70 and -68
  No swap needed

Pass 6:
  Compare -80 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -70, -68, -63, -41, 72, 83]
</think>

<response>-80, -70, -68, -63, -41, 72, 83</response>


input: Execute bubble sort to sort 98, 89, -12, -6, -89, -7 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [98, 89, -12, -6, -89, -7]

Pass 1:
  Compare 98 and 89
  Swap 98 and 89
  List after swap: [89, 98, -12, -6, -89, -7]
  Compare 98 and -12
  Swap 98 and -12
  List after swap: [89, -12, 98, -6, -89, -7]
  Compare 98 and -6
  Swap 98 and -6
  List after swap: [89, -12, -6, 98, -89, -7]
  Compare 98 and -89
  Swap 98 and -89
  List after swap: [89, -12, -6, -89, 98, -7]
  Compare 98 and -7
  Swap 98 and -7
  List after swap: [89, -12, -6, -89, -7, 98]

Pass 2:
  Compare 89 and -12
  Swap 89 and -12
  List after swap: [-12, 89, -6, -89, -7, 98]
  Compare 89 and -6
  Swap 89 and -6
  List after swap: [-12, -6, 89, -89, -7, 98]
  Compare 89 and -89
  Swap 89 and -89
  List after swap: [-12, -6, -89, 89, -7, 98]
  Compare 89 and -7
  Swap 89 and -7
  List after swap: [-12, -6, -89, -7, 89, 98]

Pass 3:
  Compare -12 and -6
  No swap needed
  Compare -6 and -89
  Swap -6 and -89
  List after swap: [-12, -89, -6, -7, 89, 98]
  Compare -6 and -7
  Swap -6 and -7
  List after swap: [-12, -89, -7, -6, 89, 98]

Pass 4:
  Compare -12 and -89
  Swap -12 and -89
  List after swap: [-89, -12, -7, -6, 89, 98]
  Compare -12 and -7
  No swap needed

Pass 5:
  Compare -89 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -12, -7, -6, 89, 98]
</think>

<response>-89, -12, -7, -6, 89, 98</response>


input: Demonstrate how bubble sort orders the integers 22, -52, 21 in ascending sequence, showing all steps.

output:
<think>
Initial list: [22, -52, 21]

Pass 1:
  Compare 22 and -52
  Swap 22 and -52
  List after swap: [-52, 22, 21]
  Compare 22 and 21
  Swap 22 and 21
  List after swap: [-52, 21, 22]

Pass 2:
  Compare -52 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, 21, 22]
</think>

<response>-52, 21, 22</response>


input: Carry out the bubble sort algorithm on 31, 55, -7, -79, -21, -48 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [31, 55, -7, -79, -21, -48]

Pass 1:
  Compare 31 and 55
  No swap needed
  Compare 55 and -7
  Swap 55 and -7
  List after swap: [31, -7, 55, -79, -21, -48]
  Compare 55 and -79
  Swap 55 and -79
  List after swap: [31, -7, -79, 55, -21, -48]
  Compare 55 and -21
  Swap 55 and -21
  List after swap: [31, -7, -79, -21, 55, -48]
  Compare 55 and -48
  Swap 55 and -48
  List after swap: [31, -7, -79, -21, -48, 55]

Pass 2:
  Compare 31 and -7
  Swap 31 and -7
  List after swap: [-7, 31, -79, -21, -48, 55]
  Compare 31 and -79
  Swap 31 and -79
  List after swap: [-7, -79, 31, -21, -48, 55]
  Compare 31 and -21
  Swap 31 and -21
  List after swap: [-7, -79, -21, 31, -48, 55]
  Compare 31 and -48
  Swap 31 and -48
  List after swap: [-7, -79, -21, -48, 31, 55]

Pass 3:
  Compare -7 and -79
  Swap -7 and -79
  List after swap: [-79, -7, -21, -48, 31, 55]
  Compare -7 and -21
  Swap -7 and -21
  List after swap: [-79, -21, -7, -48, 31, 55]
  Compare -7 and -48
  Swap -7 and -48
  List after swap: [-79, -21, -48, -7, 31, 55]

Pass 4:
  Compare -79 and -21
  No swap needed
  Compare -21 and -48
  Swap -21 and -48
  List after swap: [-79, -48, -21, -7, 31, 55]

Pass 5:
  Compare -79 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -48, -21, -7, 31, 55]
</think>

<response>-79, -48, -21, -7, 31, 55</response>


input: Using the bubble sort method, sort 32, -6, -24, -7, 9, -41, -43, 42, 95, 89 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [32, -6, -24, -7, 9, -41, -43, 42, 95, 89]

Pass 1:
  Compare 32 and -6
  Swap 32 and -6
  List after swap: [-6, 32, -24, -7, 9, -41, -43, 42, 95, 89]
  Compare 32 and -24
  Swap 32 and -24
  List after swap: [-6, -24, 32, -7, 9, -41, -43, 42, 95, 89]
  Compare 32 and -7
  Swap 32 and -7
  List after swap: [-6, -24, -7, 32, 9, -41, -43, 42, 95, 89]
  Compare 32 and 9
  Swap 32 and 9
  List after swap: [-6, -24, -7, 9, 32, -41, -43, 42, 95, 89]
  Compare 32 and -41
  Swap 32 and -41
  List after swap: [-6, -24, -7, 9, -41, 32, -43, 42, 95, 89]
  Compare 32 and -43
  Swap 32 and -43
  List after swap: [-6, -24, -7, 9, -41, -43, 32, 42, 95, 89]
  Compare 32 and 42
  No swap needed
  Compare 42 and 95
  No swap needed
  Compare 95 and 89
  Swap 95 and 89
  List after swap: [-6, -24, -7, 9, -41, -43, 32, 42, 89, 95]

Pass 2:
  Compare -6 and -24
  Swap -6 and -24
  List after swap: [-24, -6, -7, 9, -41, -43, 32, 42, 89, 95]
  Compare -6 and -7
  Swap -6 and -7
  List after swap: [-24, -7, -6, 9, -41, -43, 32, 42, 89, 95]
  Compare -6 and 9
  No swap needed
  Compare 9 and -41
  Swap 9 and -41
  List after swap: [-24, -7, -6, -41, 9, -43, 32, 42, 89, 95]
  Compare 9 and -43
  Swap 9 and -43
  List after swap: [-24, -7, -6, -41, -43, 9, 32, 42, 89, 95]
  Compare 9 and 32
  No swap needed
  Compare 32 and 42
  No swap needed
  Compare 42 and 89
  No swap needed

Pass 3:
  Compare -24 and -7
  No swap needed
  Compare -7 and -6
  No swap needed
  Compare -6 and -41
  Swap -6 and -41
  List after swap: [-24, -7, -41, -6, -43, 9, 32, 42, 89, 95]
  Compare -6 and -43
  Swap -6 and -43
  List after swap: [-24, -7, -41, -43, -6, 9, 32, 42, 89, 95]
  Compare -6 and 9
  No swap needed
  Compare 9 and 32
  No swap needed
  Compare 32 and 42
  No swap needed

Pass 4:
  Compare -24 and -7
  No swap needed
  Compare -7 and -41
  Swap -7 and -41
  List after swap: [-24, -41, -7, -43, -6, 9, 32, 42, 89, 95]
  Compare -7 and -43
  Swap -7 and -43
  List after swap: [-24, -41, -43, -7, -6, 9, 32, 42, 89, 95]
  Compare -7 and -6
  No swap needed
  Compare -6 and 9
  No swap needed
  Compare 9 and 32
  No swap needed

Pass 5:
  Compare -24 and -41
  Swap -24 and -41
  List after swap: [-41, -24, -43, -7, -6, 9, 32, 42, 89, 95]
  Compare -24 and -43
  Swap -24 and -43
  List after swap: [-41, -43, -24, -7, -6, 9, 32, 42, 89, 95]
  Compare -24 and -7
  No swap needed
  Compare -7 and -6
  No swap needed
  Compare -6 and 9
  No swap needed

Pass 6:
  Compare -41 and -43
  Swap -41 and -43
  List after swap: [-43, -41, -24, -7, -6, 9, 32, 42, 89, 95]
  Compare -41 and -24
  No swap needed
  Compare -24 and -7
  No swap needed
  Compare -7 and -6
  No swap needed

Pass 7:
  Compare -43 and -41
  No swap needed
  Compare -41 and -24
  No swap needed
  Compare -24 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -41, -24, -7, -6, 9, 32, 42, 89, 95]
</think>

<response>-43, -41, -24, -7, -6, 9, 32, 42, 89, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 88, 62, 10, -13.

output:
<think>
Initial list: [88, 62, 10, -13]

Pass 1:
  Compare 88 and 62
  Swap 88 and 62
  List after swap: [62, 88, 10, -13]
  Compare 88 and 10
  Swap 88 and 10
  List after swap: [62, 10, 88, -13]
  Compare 88 and -13
  Swap 88 and -13
  List after swap: [62, 10, -13, 88]

Pass 2:
  Compare 62 and 10
  Swap 62 and 10
  List after swap: [10, 62, -13, 88]
  Compare 62 and -13
  Swap 62 and -13
  List after swap: [10, -13, 62, 88]

Pass 3:
  Compare 10 and -13
  Swap 10 and -13
  List after swap: [-13, 10, 62, 88]

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

Final sorted list: [-13, 10, 62, 88]
</think>

<response>-13, 10, 62, 88</response>


input: Carry out the bubble sort algorithm on 86, -15, -18, -16, -81, -12, 7, 66, 39 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [86, -15, -18, -16, -81, -12, 7, 66, 39]

Pass 1:
  Compare 86 and -15
  Swap 86 and -15
  List after swap: [-15, 86, -18, -16, -81, -12, 7, 66, 39]
  Compare 86 and -18
  Swap 86 and -18
  List after swap: [-15, -18, 86, -16, -81, -12, 7, 66, 39]
  Compare 86 and -16
  Swap 86 and -16
  List after swap: [-15, -18, -16, 86, -81, -12, 7, 66, 39]
  Compare 86 and -81
  Swap 86 and -81
  List after swap: [-15, -18, -16, -81, 86, -12, 7, 66, 39]
  Compare 86 and -12
  Swap 86 and -12
  List after swap: [-15, -18, -16, -81, -12, 86, 7, 66, 39]
  Compare 86 and 7
  Swap 86 and 7
  List after swap: [-15, -18, -16, -81, -12, 7, 86, 66, 39]
  Compare 86 and 66
  Swap 86 and 66
  List after swap: [-15, -18, -16, -81, -12, 7, 66, 86, 39]
  Compare 86 and 39
  Swap 86 and 39
  List after swap: [-15, -18, -16, -81, -12, 7, 66, 39, 86]

Pass 2:
  Compare -15 and -18
  Swap -15 and -18
  List after swap: [-18, -15, -16, -81, -12, 7, 66, 39, 86]
  Compare -15 and -16
  Swap -15 and -16
  List after swap: [-18, -16, -15, -81, -12, 7, 66, 39, 86]
  Compare -15 and -81
  Swap -15 and -81
  List after swap: [-18, -16, -81, -15, -12, 7, 66, 39, 86]
  Compare -15 and -12
  No swap needed
  Compare -12 and 7
  No swap needed
  Compare 7 and 66
  No swap needed
  Compare 66 and 39
  Swap 66 and 39
  List after swap: [-18, -16, -81, -15, -12, 7, 39, 66, 86]

Pass 3:
  Compare -18 and -16
  No swap needed
  Compare -16 and -81
  Swap -16 and -81
  List after swap: [-18, -81, -16, -15, -12, 7, 39, 66, 86]
  Compare -16 and -15
  No swap needed
  Compare -15 and -12
  No swap needed
  Compare -12 and 7
  No swap needed
  Compare 7 and 39
  No swap needed

Pass 4:
  Compare -18 and -81
  Swap -18 and -81
  List after swap: [-81, -18, -16, -15, -12, 7, 39, 66, 86]
  Compare -18 and -16
  No swap needed
  Compare -16 and -15
  No swap needed
  Compare -15 and -12
  No swap needed
  Compare -12 and 7
  No swap needed

Pass 5:
  Compare -81 and -18
  No swap needed
  Compare -18 and -16
  No swap needed
  Compare -16 and -15
  No swap needed
  Compare -15 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -18, -16, -15, -12, 7, 39, 66, 86]
</think>

<response>-81, -18, -16, -15, -12, 7, 39, 66, 86</response>


input: Sort the list -100, -83, -66, -73, -70, 23, -55 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-100, -83, -66, -73, -70, 23, -55]

Pass 1:
  Compare -100 and -83
  No swap needed
  Compare -83 and -66
  No swap needed
  Compare -66 and -73
  Swap -66 and -73
  List after swap: [-100, -83, -73, -66, -70, 23, -55]
  Compare -66 and -70
  Swap -66 and -70
  List after swap: [-100, -83, -73, -70, -66, 23, -55]
  Compare -66 and 23
  No swap needed
  Compare 23 and -55
  Swap 23 and -55
  List after swap: [-100, -83, -73, -70, -66, -55, 23]

Pass 2:
  Compare -100 and -83
  No swap needed
  Compare -83 and -73
  No swap needed
  Compare -73 and -70
  No swap needed
  Compare -70 and -66
  No swap needed
  Compare -66 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -83, -73, -70, -66, -55, 23]
</think>

<response>-100, -83, -73, -70, -66, -55, 23</response>


input: Execute bubble sort to sort -16, -2, 33, -68, -3, 76, -82 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-16, -2, 33, -68, -3, 76, -82]

Pass 1:
  Compare -16 and -2
  No swap needed
  Compare -2 and 33
  No swap needed
  Compare 33 and -68
  Swap 33 and -68
  List after swap: [-16, -2, -68, 33, -3, 76, -82]
  Compare 33 and -3
  Swap 33 and -3
  List after swap: [-16, -2, -68, -3, 33, 76, -82]
  Compare 33 and 76
  No swap needed
  Compare 76 and -82
  Swap 76 and -82
  List after swap: [-16, -2, -68, -3, 33, -82, 76]

Pass 2:
  Compare -16 and -2
  No swap needed
  Compare -2 and -68
  Swap -2 and -68
  List after swap: [-16, -68, -2, -3, 33, -82, 76]
  Compare -2 and -3
  Swap -2 and -3
  List after swap: [-16, -68, -3, -2, 33, -82, 76]
  Compare -2 and 33
  No swap needed
  Compare 33 and -82
  Swap 33 and -82
  List after swap: [-16, -68, -3, -2, -82, 33, 76]

Pass 3:
  Compare -16 and -68
  Swap -16 and -68
  List after swap: [-68, -16, -3, -2, -82, 33, 76]
  Compare -16 and -3
  No swap needed
  Compare -3 and -2
  No swap needed
  Compare -2 and -82
  Swap -2 and -82
  List after swap: [-68, -16, -3, -82, -2, 33, 76]

Pass 4:
  Compare -68 and -16
  No swap needed
  Compare -16 and -3
  No swap needed
  Compare -3 and -82
  Swap -3 and -82
  List after swap: [-68, -16, -82, -3, -2, 33, 76]

Pass 5:
  Compare -68 and -16
  No swap needed
  Compare -16 and -82
  Swap -16 and -82
  List after swap: [-68, -82, -16, -3, -2, 33, 76]

Pass 6:
  Compare -68 and -82
  Swap -68 and -82
  List after swap: [-82, -68, -16, -3, -2, 33, 76]

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

Final sorted list: [-82, -68, -16, -3, -2, 33, 76]
</think>

<response>-82, -68, -16, -3, -2, 33, 76</response>


input: Sort these integers -25, 30, -58, -76, -55 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-25, 30, -58, -76, -55]

Pass 1:
  Compare -25 and 30
  No swap needed
  Compare 30 and -58
  Swap 30 and -58
  List after swap: [-25, -58, 30, -76, -55]
  Compare 30 and -76
  Swap 30 and -76
  List after swap: [-25, -58, -76, 30, -55]
  Compare 30 and -55
  Swap 30 and -55
  List after swap: [-25, -58, -76, -55, 30]

Pass 2:
  Compare -25 and -58
  Swap -25 and -58
  List after swap: [-58, -25, -76, -55, 30]
  Compare -25 and -76
  Swap -25 and -76
  List after swap: [-58, -76, -25, -55, 30]
  Compare -25 and -55
  Swap -25 and -55
  List after swap: [-58, -76, -55, -25, 30]

Pass 3:
  Compare -58 and -76
  Swap -58 and -76
  List after swap: [-76, -58, -55, -25, 30]
  Compare -58 and -55
  No swap needed

Pass 4:
  Compare -76 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -58, -55, -25, 30]
</think>

<response>-76, -58, -55, -25, 30</response>


input: Implement bubble sort on -81, 21, -18 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-81, 21, -18]

Pass 1:
  Compare -81 and 21
  No swap needed
  Compare 21 and -18
  Swap 21 and -18
  List after swap: [-81, -18, 21]

Pass 2:
  Compare -81 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -18, 21]
</think>

<response>-81, -18, 21</response>


input: Using the bubble sort method, sort 6, -86, 36 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [6, -86, 36]

Pass 1:
  Compare 6 and -86
  Swap 6 and -86
  List after swap: [-86, 6, 36]
  Compare 6 and 36
  No swap needed

Pass 2:
  Compare -86 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, 6, 36]
</think>

<response>-86, 6, 36</response>


input: Execute bubble sort to sort 10, 7, 67 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [10, 7, 67]

Pass 1:
  Compare 10 and 7
  Swap 10 and 7
  List after swap: [7, 10, 67]
  Compare 10 and 67
  No swap needed

Pass 2:
  Compare 7 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [7, 10, 67]
</think>

<response>7, 10, 67</response>


input: Arrange the numbers -26, 62, 43, -63, 14, -91, 31, -95 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-26, 62, 43, -63, 14, -91, 31, -95]

Pass 1:
  Compare -26 and 62
  No swap needed
  Compare 62 and 43
  Swap 62 and 43
  List after swap: [-26, 43, 62, -63, 14, -91, 31, -95]
  Compare 62 and -63
  Swap 62 and -63
  List after swap: [-26, 43, -63, 62, 14, -91, 31, -95]
  Compare 62 and 14
  Swap 62 and 14
  List after swap: [-26, 43, -63, 14, 62, -91, 31, -95]
  Compare 62 and -91
  Swap 62 and -91
  List after swap: [-26, 43, -63, 14, -91, 62, 31, -95]
  Compare 62 and 31
  Swap 62 and 31
  List after swap: [-26, 43, -63, 14, -91, 31, 62, -95]
  Compare 62 and -95
  Swap 62 and -95
  List after swap: [-26, 43, -63, 14, -91, 31, -95, 62]

Pass 2:
  Compare -26 and 43
  No swap needed
  Compare 43 and -63
  Swap 43 and -63
  List after swap: [-26, -63, 43, 14, -91, 31, -95, 62]
  Compare 43 and 14
  Swap 43 and 14
  List after swap: [-26, -63, 14, 43, -91, 31, -95, 62]
  Compare 43 and -91
  Swap 43 and -91
  List after swap: [-26, -63, 14, -91, 43, 31, -95, 62]
  Compare 43 and 31
  Swap 43 and 31
  List after swap: [-26, -63, 14, -91, 31, 43, -95, 62]
  Compare 43 and -95
  Swap 43 and -95
  List after swap: [-26, -63, 14, -91, 31, -95, 43, 62]

Pass 3:
  Compare -26 and -63
  Swap -26 and -63
  List after swap: [-63, -26, 14, -91, 31, -95, 43, 62]
  Compare -26 and 14
  No swap needed
  Compare 14 and -91
  Swap 14 and -91
  List after swap: [-63, -26, -91, 14, 31, -95, 43, 62]
  Compare 14 and 31
  No swap needed
  Compare 31 and -95
  Swap 31 and -95
  List after swap: [-63, -26, -91, 14, -95, 31, 43, 62]

Pass 4:
  Compare -63 and -26
  No swap needed
  Compare -26 and -91
  Swap -26 and -91
  List after swap: [-63, -91, -26, 14, -95, 31, 43, 62]
  Compare -26 and 14
  No swap needed
  Compare 14 and -95
  Swap 14 and -95
  List after swap: [-63, -91, -26, -95, 14, 31, 43, 62]

Pass 5:
  Compare -63 and -91
  Swap -63 and -91
  List after swap: [-91, -63, -26, -95, 14, 31, 43, 62]
  Compare -63 and -26
  No swap needed
  Compare -26 and -95
  Swap -26 and -95
  List after swap: [-91, -63, -95, -26, 14, 31, 43, 62]

Pass 6:
  Compare -91 and -63
  No swap needed
  Compare -63 and -95
  Swap -63 and -95
  List after swap: [-91, -95, -63, -26, 14, 31, 43, 62]

Pass 7:
  Compare -91 and -95
  Swap -91 and -95
  List after swap: [-95, -91, -63, -26, 14, 31, 43, 62]

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

Final sorted list: [-95, -91, -63, -26, 14, 31, 43, 62]
</think>

<response>-95, -91, -63, -26, 14, 31, 43, 62</response>


input: Perform a bubble sort on the integers 50, -14, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [50, -14]

Pass 1:
  Compare 50 and -14
  Swap 50 and -14
  List after swap: [-14, 50]

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

Final sorted list: [-14, 50]
</think>

<response>-14, 50</response>


input: Carry out the bubble sort algorithm on 87, 49, -3, 56, 51 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [87, 49, -3, 56, 51]

Pass 1:
  Compare 87 and 49
  Swap 87 and 49
  List after swap: [49, 87, -3, 56, 51]
  Compare 87 and -3
  Swap 87 and -3
  List after swap: [49, -3, 87, 56, 51]
  Compare 87 and 56
  Swap 87 and 56
  List after swap: [49, -3, 56, 87, 51]
  Compare 87 and 51
  Swap 87 and 51
  List after swap: [49, -3, 56, 51, 87]

Pass 2:
  Compare 49 and -3
  Swap 49 and -3
  List after swap: [-3, 49, 56, 51, 87]
  Compare 49 and 56
  No swap needed
  Compare 56 and 51
  Swap 56 and 51
  List after swap: [-3, 49, 51, 56, 87]

Pass 3:
  Compare -3 and 49
  No swap needed
  Compare 49 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-3, 49, 51, 56, 87]
</think>

<response>-3, 49, 51, 56, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 32, 65.

output:
<think>
Initial list: [32, 65]

Pass 1:
  Compare 32 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [32, 65]
</think>

<response>32, 65</response>


input: Perform a bubble sort on the integers -56, -52, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-56, -52]

Pass 1:
  Compare -56 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -52]
</think>

<response>-56, -52</response>


input: Carry out the bubble sort algorithm on 95, 19, -21, 94, 12, -30 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [95, 19, -21, 94, 12, -30]

Pass 1:
  Compare 95 and 19
  Swap 95 and 19
  List after swap: [19, 95, -21, 94, 12, -30]
  Compare 95 and -21
  Swap 95 and -21
  List after swap: [19, -21, 95, 94, 12, -30]
  Compare 95 and 94
  Swap 95 and 94
  List after swap: [19, -21, 94, 95, 12, -30]
  Compare 95 and 12
  Swap 95 and 12
  List after swap: [19, -21, 94, 12, 95, -30]
  Compare 95 and -30
  Swap 95 and -30
  List after swap: [19, -21, 94, 12, -30, 95]

Pass 2:
  Compare 19 and -21
  Swap 19 and -21
  List after swap: [-21, 19, 94, 12, -30, 95]
  Compare 19 and 94
  No swap needed
  Compare 94 and 12
  Swap 94 and 12
  List after swap: [-21, 19, 12, 94, -30, 95]
  Compare 94 and -30
  Swap 94 and -30
  List after swap: [-21, 19, 12, -30, 94, 95]

Pass 3:
  Compare -21 and 19
  No swap needed
  Compare 19 and 12
  Swap 19 and 12
  List after swap: [-21, 12, 19, -30, 94, 95]
  Compare 19 and -30
  Swap 19 and -30
  List after swap: [-21, 12, -30, 19, 94, 95]

Pass 4:
  Compare -21 and 12
  No swap needed
  Compare 12 and -30
  Swap 12 and -30
  List after swap: [-21, -30, 12, 19, 94, 95]

Pass 5:
  Compare -21 and -30
  Swap -21 and -30
  List after swap: [-30, -21, 12, 19, 94, 95]

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

Final sorted list: [-30, -21, 12, 19, 94, 95]
</think>

<response>-30, -21, 12, 19, 94, 95</response>


input: Demonstrate how bubble sort orders the integers -64, -71, -17, 24, 85, -95, 26, -28, -32, 74 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-64, -71, -17, 24, 85, -95, 26, -28, -32, 74]

Pass 1:
  Compare -64 and -71
  Swap -64 and -71
  List after swap: [-71, -64, -17, 24, 85, -95, 26, -28, -32, 74]
  Compare -64 and -17
  No swap needed
  Compare -17 and 24
  No swap needed
  Compare 24 and 85
  No swap needed
  Compare 85 and -95
  Swap 85 and -95
  List after swap: [-71, -64, -17, 24, -95, 85, 26, -28, -32, 74]
  Compare 85 and 26
  Swap 85 and 26
  List after swap: [-71, -64, -17, 24, -95, 26, 85, -28, -32, 74]
  Compare 85 and -28
  Swap 85 and -28
  List after swap: [-71, -64, -17, 24, -95, 26, -28, 85, -32, 74]
  Compare 85 and -32
  Swap 85 and -32
  List after swap: [-71, -64, -17, 24, -95, 26, -28, -32, 85, 74]
  Compare 85 and 74
  Swap 85 and 74
  List after swap: [-71, -64, -17, 24, -95, 26, -28, -32, 74, 85]

Pass 2:
  Compare -71 and -64
  No swap needed
  Compare -64 and -17
  No swap needed
  Compare -17 and 24
  No swap needed
  Compare 24 and -95
  Swap 24 and -95
  List after swap: [-71, -64, -17, -95, 24, 26, -28, -32, 74, 85]
  Compare 24 and 26
  No swap needed
  Compare 26 and -28
  Swap 26 and -28
  List after swap: [-71, -64, -17, -95, 24, -28, 26, -32, 74, 85]
  Compare 26 and -32
  Swap 26 and -32
  List after swap: [-71, -64, -17, -95, 24, -28, -32, 26, 74, 85]
  Compare 26 and 74
  No swap needed

Pass 3:
  Compare -71 and -64
  No swap needed
  Compare -64 and -17
  No swap needed
  Compare -17 and -95
  Swap -17 and -95
  List after swap: [-71, -64, -95, -17, 24, -28, -32, 26, 74, 85]
  Compare -17 and 24
  No swap needed
  Compare 24 and -28
  Swap 24 and -28
  List after swap: [-71, -64, -95, -17, -28, 24, -32, 26, 74, 85]
  Compare 24 and -32
  Swap 24 and -32
  List after swap: [-71, -64, -95, -17, -28, -32, 24, 26, 74, 85]
  Compare 24 and 26
  No swap needed

Pass 4:
  Compare -71 and -64
  No swap needed
  Compare -64 and -95
  Swap -64 and -95
  List after swap: [-71, -95, -64, -17, -28, -32, 24, 26, 74, 85]
  Compare -64 and -17
  No swap needed
  Compare -17 and -28
  Swap -17 and -28
  List after swap: [-71, -95, -64, -28, -17, -32, 24, 26, 74, 85]
  Compare -17 and -32
  Swap -17 and -32
  List after swap: [-71, -95, -64, -28, -32, -17, 24, 26, 74, 85]
  Compare -17 and 24
  No swap needed

Pass 5:
  Compare -71 and -95
  Swap -71 and -95
  List after swap: [-95, -71, -64, -28, -32, -17, 24, 26, 74, 85]
  Compare -71 and -64
  No swap needed
  Compare -64 and -28
  No swap needed
  Compare -28 and -32
  Swap -28 and -32
  List after swap: [-95, -71, -64, -32, -28, -17, 24, 26, 74, 85]
  Compare -28 and -17
  No swap needed

Pass 6:
  Compare -95 and -71
  No swap needed
  Compare -71 and -64
  No swap needed
  Compare -64 and -32
  No swap needed
  Compare -32 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -71, -64, -32, -28, -17, 24, 26, 74, 85]
</think>

<response>-95, -71, -64, -32, -28, -17, 24, 26, 74, 85</response>


input: Arrange the numbers 43, -85 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [43, -85]

Pass 1:
  Compare 43 and -85
  Swap 43 and -85
  List after swap: [-85, 43]

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

Final sorted list: [-85, 43]
</think>

<response>-85, 43</response>


input: Use the bubble sort technique to reorder -13, -18, 56, -79, -48 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-13, -18, 56, -79, -48]

Pass 1:
  Compare -13 and -18
  Swap -13 and -18
  List after swap: [-18, -13, 56, -79, -48]
  Compare -13 and 56
  No swap needed
  Compare 56 and -79
  Swap 56 and -79
  List after swap: [-18, -13, -79, 56, -48]
  Compare 56 and -48
  Swap 56 and -48
  List after swap: [-18, -13, -79, -48, 56]

Pass 2:
  Compare -18 and -13
  No swap needed
  Compare -13 and -79
  Swap -13 and -79
  List after swap: [-18, -79, -13, -48, 56]
  Compare -13 and -48
  Swap -13 and -48
  List after swap: [-18, -79, -48, -13, 56]

Pass 3:
  Compare -18 and -79
  Swap -18 and -79
  List after swap: [-79, -18, -48, -13, 56]
  Compare -18 and -48
  Swap -18 and -48
  List after swap: [-79, -48, -18, -13, 56]

Pass 4:
  Compare -79 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -48, -18, -13, 56]
</think>

<response>-79, -48, -18, -13, 56</response>


input: Using the bubble sort method, sort -54, -22, -1, -55, 79, -88, -58, -73 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-54, -22, -1, -55, 79, -88, -58, -73]

Pass 1:
  Compare -54 and -22
  No swap needed
  Compare -22 and -1
  No swap needed
  Compare -1 and -55
  Swap -1 and -55
  List after swap: [-54, -22, -55, -1, 79, -88, -58, -73]
  Compare -1 and 79
  No swap needed
  Compare 79 and -88
  Swap 79 and -88
  List after swap: [-54, -22, -55, -1, -88, 79, -58, -73]
  Compare 79 and -58
  Swap 79 and -58
  List after swap: [-54, -22, -55, -1, -88, -58, 79, -73]
  Compare 79 and -73
  Swap 79 and -73
  List after swap: [-54, -22, -55, -1, -88, -58, -73, 79]

Pass 2:
  Compare -54 and -22
  No swap needed
  Compare -22 and -55
  Swap -22 and -55
  List after swap: [-54, -55, -22, -1, -88, -58, -73, 79]
  Compare -22 and -1
  No swap needed
  Compare -1 and -88
  Swap -1 and -88
  List after swap: [-54, -55, -22, -88, -1, -58, -73, 79]
  Compare -1 and -58
  Swap -1 and -58
  List after swap: [-54, -55, -22, -88, -58, -1, -73, 79]
  Compare -1 and -73
  Swap -1 and -73
  List after swap: [-54, -55, -22, -88, -58, -73, -1, 79]

Pass 3:
  Compare -54 and -55
  Swap -54 and -55
  List after swap: [-55, -54, -22, -88, -58, -73, -1, 79]
  Compare -54 and -22
  No swap needed
  Compare -22 and -88
  Swap -22 and -88
  List after swap: [-55, -54, -88, -22, -58, -73, -1, 79]
  Compare -22 and -58
  Swap -22 and -58
  List after swap: [-55, -54, -88, -58, -22, -73, -1, 79]
  Compare -22 and -73
  Swap -22 and -73
  List after swap: [-55, -54, -88, -58, -73, -22, -1, 79]

Pass 4:
  Compare -55 and -54
  No swap needed
  Compare -54 and -88
  Swap -54 and -88
  List after swap: [-55, -88, -54, -58, -73, -22, -1, 79]
  Compare -54 and -58
  Swap -54 and -58
  List after swap: [-55, -88, -58, -54, -73, -22, -1, 79]
  Compare -54 and -73
  Swap -54 and -73
  List after swap: [-55, -88, -58, -73, -54, -22, -1, 79]

Pass 5:
  Compare -55 and -88
  Swap -55 and -88
  List after swap: [-88, -55, -58, -73, -54, -22, -1, 79]
  Compare -55 and -58
  Swap -55 and -58
  List after swap: [-88, -58, -55, -73, -54, -22, -1, 79]
  Compare -55 and -73
  Swap -55 and -73
  List after swap: [-88, -58, -73, -55, -54, -22, -1, 79]

Pass 6:
  Compare -88 and -58
  No swap needed
  Compare -58 and -73
  Swap -58 and -73
  List after swap: [-88, -73, -58, -55, -54, -22, -1, 79]

Pass 7:
  Compare -88 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -73, -58, -55, -54, -22, -1, 79]
</think>

<response>-88, -73, -58, -55, -54, -22, -1, 79</response>


input: Use the bubble sort technique to reorder -6, -57 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-6, -57]

Pass 1:
  Compare -6 and -57
  Swap -6 and -57
  List after swap: [-57, -6]

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

Final sorted list: [-57, -6]
</think>

<response>-57, -6</response>


input: Implement bubble sort on -14, 30, -72, -86, 15, -91, -4, 53, -95 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-14, 30, -72, -86, 15, -91, -4, 53, -95]

Pass 1:
  Compare -14 and 30
  No swap needed
  Compare 30 and -72
  Swap 30 and -72
  List after swap: [-14, -72, 30, -86, 15, -91, -4, 53, -95]
  Compare 30 and -86
  Swap 30 and -86
  List after swap: [-14, -72, -86, 30, 15, -91, -4, 53, -95]
  Compare 30 and 15
  Swap 30 and 15
  List after swap: [-14, -72, -86, 15, 30, -91, -4, 53, -95]
  Compare 30 and -91
  Swap 30 and -91
  List after swap: [-14, -72, -86, 15, -91, 30, -4, 53, -95]
  Compare 30 and -4
  Swap 30 and -4
  List after swap: [-14, -72, -86, 15, -91, -4, 30, 53, -95]
  Compare 30 and 53
  No swap needed
  Compare 53 and -95
  Swap 53 and -95
  List after swap: [-14, -72, -86, 15, -91, -4, 30, -95, 53]

Pass 2:
  Compare -14 and -72
  Swap -14 and -72
  List after swap: [-72, -14, -86, 15, -91, -4, 30, -95, 53]
  Compare -14 and -86
  Swap -14 and -86
  List after swap: [-72, -86, -14, 15, -91, -4, 30, -95, 53]
  Compare -14 and 15
  No swap needed
  Compare 15 and -91
  Swap 15 and -91
  List after swap: [-72, -86, -14, -91, 15, -4, 30, -95, 53]
  Compare 15 and -4
  Swap 15 and -4
  List after swap: [-72, -86, -14, -91, -4, 15, 30, -95, 53]
  Compare 15 and 30
  No swap needed
  Compare 30 and -95
  Swap 30 and -95
  List after swap: [-72, -86, -14, -91, -4, 15, -95, 30, 53]

Pass 3:
  Compare -72 and -86
  Swap -72 and -86
  List after swap: [-86, -72, -14, -91, -4, 15, -95, 30, 53]
  Compare -72 and -14
  No swap needed
  Compare -14 and -91
  Swap -14 and -91
  List after swap: [-86, -72, -91, -14, -4, 15, -95, 30, 53]
  Compare -14 and -4
  No swap needed
  Compare -4 and 15
  No swap needed
  Compare 15 and -95
  Swap 15 and -95
  List after swap: [-86, -72, -91, -14, -4, -95, 15, 30, 53]

Pass 4:
  Compare -86 and -72
  No swap needed
  Compare -72 and -91
  Swap -72 and -91
  List after swap: [-86, -91, -72, -14, -4, -95, 15, 30, 53]
  Compare -72 and -14
  No swap needed
  Compare -14 and -4
  No swap needed
  Compare -4 and -95
  Swap -4 and -95
  List after swap: [-86, -91, -72, -14, -95, -4, 15, 30, 53]

Pass 5:
  Compare -86 and -91
  Swap -86 and -91
  List after swap: [-91, -86, -72, -14, -95, -4, 15, 30, 53]
  Compare -86 and -72
  No swap needed
  Compare -72 and -14
  No swap needed
  Compare -14 and -95
  Swap -14 and -95
  List after swap: [-91, -86, -72, -95, -14, -4, 15, 30, 53]

Pass 6:
  Compare -91 and -86
  No swap needed
  Compare -86 and -72
  No swap needed
  Compare -72 and -95
  Swap -72 and -95
  List after swap: [-91, -86, -95, -72, -14, -4, 15, 30, 53]

Pass 7:
  Compare -91 and -86
  No swap needed
  Compare -86 and -95
  Swap -86 and -95
  List after swap: [-91, -95, -86, -72, -14, -4, 15, 30, 53]

Pass 8:
  Compare -91 and -95
  Swap -91 and -95
  List after swap: [-95, -91, -86, -72, -14, -4, 15, 30, 53]

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

Final sorted list: [-95, -91, -86, -72, -14, -4, 15, 30, 53]
</think>

<response>-95, -91, -86, -72, -14, -4, 15, 30, 53</response>


input: Using the bubble sort method, sort -46, -61, 60, -22, 93, 14, 90, 17, 43 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-46, -61, 60, -22, 93, 14, 90, 17, 43]

Pass 1:
  Compare -46 and -61
  Swap -46 and -61
  List after swap: [-61, -46, 60, -22, 93, 14, 90, 17, 43]
  Compare -46 and 60
  No swap needed
  Compare 60 and -22
  Swap 60 and -22
  List after swap: [-61, -46, -22, 60, 93, 14, 90, 17, 43]
  Compare 60 and 93
  No swap needed
  Compare 93 and 14
  Swap 93 and 14
  List after swap: [-61, -46, -22, 60, 14, 93, 90, 17, 43]
  Compare 93 and 90
  Swap 93 and 90
  List after swap: [-61, -46, -22, 60, 14, 90, 93, 17, 43]
  Compare 93 and 17
  Swap 93 and 17
  List after swap: [-61, -46, -22, 60, 14, 90, 17, 93, 43]
  Compare 93 and 43
  Swap 93 and 43
  List after swap: [-61, -46, -22, 60, 14, 90, 17, 43, 93]

Pass 2:
  Compare -61 and -46
  No swap needed
  Compare -46 and -22
  No swap needed
  Compare -22 and 60
  No swap needed
  Compare 60 and 14
  Swap 60 and 14
  List after swap: [-61, -46, -22, 14, 60, 90, 17, 43, 93]
  Compare 60 and 90
  No swap needed
  Compare 90 and 17
  Swap 90 and 17
  List after swap: [-61, -46, -22, 14, 60, 17, 90, 43, 93]
  Compare 90 and 43
  Swap 90 and 43
  List after swap: [-61, -46, -22, 14, 60, 17, 43, 90, 93]

Pass 3:
  Compare -61 and -46
  No swap needed
  Compare -46 and -22
  No swap needed
  Compare -22 and 14
  No swap needed
  Compare 14 and 60
  No swap needed
  Compare 60 and 17
  Swap 60 and 17
  List after swap: [-61, -46, -22, 14, 17, 60, 43, 90, 93]
  Compare 60 and 43
  Swap 60 and 43
  List after swap: [-61, -46, -22, 14, 17, 43, 60, 90, 93]

Pass 4:
  Compare -61 and -46
  No swap needed
  Compare -46 and -22
  No swap needed
  Compare -22 and 14
  No swap needed
  Compare 14 and 17
  No swap needed
  Compare 17 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -46, -22, 14, 17, 43, 60, 90, 93]
</think>

<response>-61, -46, -22, 14, 17, 43, 60, 90, 93</response>


input: Arrange the numbers 60, -95, -48, 3, -46, 28, -75, 85 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [60, -95, -48, 3, -46, 28, -75, 85]

Pass 1:
  Compare 60 and -95
  Swap 60 and -95
  List after swap: [-95, 60, -48, 3, -46, 28, -75, 85]
  Compare 60 and -48
  Swap 60 and -48
  List after swap: [-95, -48, 60, 3, -46, 28, -75, 85]
  Compare 60 and 3
  Swap 60 and 3
  List after swap: [-95, -48, 3, 60, -46, 28, -75, 85]
  Compare 60 and -46
  Swap 60 and -46
  List after swap: [-95, -48, 3, -46, 60, 28, -75, 85]
  Compare 60 and 28
  Swap 60 and 28
  List after swap: [-95, -48, 3, -46, 28, 60, -75, 85]
  Compare 60 and -75
  Swap 60 and -75
  List after swap: [-95, -48, 3, -46, 28, -75, 60, 85]
  Compare 60 and 85
  No swap needed

Pass 2:
  Compare -95 and -48
  No swap needed
  Compare -48 and 3
  No swap needed
  Compare 3 and -46
  Swap 3 and -46
  List after swap: [-95, -48, -46, 3, 28, -75, 60, 85]
  Compare 3 and 28
  No swap needed
  Compare 28 and -75
  Swap 28 and -75
  List after swap: [-95, -48, -46, 3, -75, 28, 60, 85]
  Compare 28 and 60
  No swap needed

Pass 3:
  Compare -95 and -48
  No swap needed
  Compare -48 and -46
  No swap needed
  Compare -46 and 3
  No swap needed
  Compare 3 and -75
  Swap 3 and -75
  List after swap: [-95, -48, -46, -75, 3, 28, 60, 85]
  Compare 3 and 28
  No swap needed

Pass 4:
  Compare -95 and -48
  No swap needed
  Compare -48 and -46
  No swap needed
  Compare -46 and -75
  Swap -46 and -75
  List after swap: [-95, -48, -75, -46, 3, 28, 60, 85]
  Compare -46 and 3
  No swap needed

Pass 5:
  Compare -95 and -48
  No swap needed
  Compare -48 and -75
  Swap -48 and -75
  List after swap: [-95, -75, -48, -46, 3, 28, 60, 85]
  Compare -48 and -46
  No swap needed

Pass 6:
  Compare -95 and -75
  No swap needed
  Compare -75 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -75, -48, -46, 3, 28, 60, 85]
</think>

<response>-95, -75, -48, -46, 3, 28, 60, 85</response>


input: Using the bubble sort method, sort 46, 82, 58, 33, -98 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [46, 82, 58, 33, -98]

Pass 1:
  Compare 46 and 82
  No swap needed
  Compare 82 and 58
  Swap 82 and 58
  List after swap: [46, 58, 82, 33, -98]
  Compare 82 and 33
  Swap 82 and 33
  List after swap: [46, 58, 33, 82, -98]
  Compare 82 and -98
  Swap 82 and -98
  List after swap: [46, 58, 33, -98, 82]

Pass 2:
  Compare 46 and 58
  No swap needed
  Compare 58 and 33
  Swap 58 and 33
  List after swap: [46, 33, 58, -98, 82]
  Compare 58 and -98
  Swap 58 and -98
  List after swap: [46, 33, -98, 58, 82]

Pass 3:
  Compare 46 and 33
  Swap 46 and 33
  List after swap: [33, 46, -98, 58, 82]
  Compare 46 and -98
  Swap 46 and -98
  List after swap: [33, -98, 46, 58, 82]

Pass 4:
  Compare 33 and -98
  Swap 33 and -98
  List after swap: [-98, 33, 46, 58, 82]

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

Final sorted list: [-98, 33, 46, 58, 82]
</think>

<response>-98, 33, 46, 58, 82</response>


input: Arrange the numbers 76, 92 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [76, 92]

Pass 1:
  Compare 76 and 92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [76, 92]
</think>

<response>76, 92</response>


input: Arrange the numbers -66, 20, 60, 79, 91, -2, -8, -15 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-66, 20, 60, 79, 91, -2, -8, -15]

Pass 1:
  Compare -66 and 20
  No swap needed
  Compare 20 and 60
  No swap needed
  Compare 60 and 79
  No swap needed
  Compare 79 and 91
  No swap needed
  Compare 91 and -2
  Swap 91 and -2
  List after swap: [-66, 20, 60, 79, -2, 91, -8, -15]
  Compare 91 and -8
  Swap 91 and -8
  List after swap: [-66, 20, 60, 79, -2, -8, 91, -15]
  Compare 91 and -15
  Swap 91 and -15
  List after swap: [-66, 20, 60, 79, -2, -8, -15, 91]

Pass 2:
  Compare -66 and 20
  No swap needed
  Compare 20 and 60
  No swap needed
  Compare 60 and 79
  No swap needed
  Compare 79 and -2
  Swap 79 and -2
  List after swap: [-66, 20, 60, -2, 79, -8, -15, 91]
  Compare 79 and -8
  Swap 79 and -8
  List after swap: [-66, 20, 60, -2, -8, 79, -15, 91]
  Compare 79 and -15
  Swap 79 and -15
  List after swap: [-66, 20, 60, -2, -8, -15, 79, 91]

Pass 3:
  Compare -66 and 20
  No swap needed
  Compare 20 and 60
  No swap needed
  Compare 60 and -2
  Swap 60 and -2
  List after swap: [-66, 20, -2, 60, -8, -15, 79, 91]
  Compare 60 and -8
  Swap 60 and -8
  List after swap: [-66, 20, -2, -8, 60, -15, 79, 91]
  Compare 60 and -15
  Swap 60 and -15
  List after swap: [-66, 20, -2, -8, -15, 60, 79, 91]

Pass 4:
  Compare -66 and 20
  No swap needed
  Compare 20 and -2
  Swap 20 and -2
  List after swap: [-66, -2, 20, -8, -15, 60, 79, 91]
  Compare 20 and -8
  Swap 20 and -8
  List after swap: [-66, -2, -8, 20, -15, 60, 79, 91]
  Compare 20 and -15
  Swap 20 and -15
  List after swap: [-66, -2, -8, -15, 20, 60, 79, 91]

Pass 5:
  Compare -66 and -2
  No swap needed
  Compare -2 and -8
  Swap -2 and -8
  List after swap: [-66, -8, -2, -15, 20, 60, 79, 91]
  Compare -2 and -15
  Swap -2 and -15
  List after swap: [-66, -8, -15, -2, 20, 60, 79, 91]

Pass 6:
  Compare -66 and -8
  No swap needed
  Compare -8 and -15
  Swap -8 and -15
  List after swap: [-66, -15, -8, -2, 20, 60, 79, 91]

Pass 7:
  Compare -66 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -15, -8, -2, 20, 60, 79, 91]
</think>

<response>-66, -15, -8, -2, 20, 60, 79, 91</response>


input: Using the bubble sort method, sort 70, 17, -42, 81, 16, 51, -56, -77 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [70, 17, -42, 81, 16, 51, -56, -77]

Pass 1:
  Compare 70 and 17
  Swap 70 and 17
  List after swap: [17, 70, -42, 81, 16, 51, -56, -77]
  Compare 70 and -42
  Swap 70 and -42
  List after swap: [17, -42, 70, 81, 16, 51, -56, -77]
  Compare 70 and 81
  No swap needed
  Compare 81 and 16
  Swap 81 and 16
  List after swap: [17, -42, 70, 16, 81, 51, -56, -77]
  Compare 81 and 51
  Swap 81 and 51
  List after swap: [17, -42, 70, 16, 51, 81, -56, -77]
  Compare 81 and -56
  Swap 81 and -56
  List after swap: [17, -42, 70, 16, 51, -56, 81, -77]
  Compare 81 and -77
  Swap 81 and -77
  List after swap: [17, -42, 70, 16, 51, -56, -77, 81]

Pass 2:
  Compare 17 and -42
  Swap 17 and -42
  List after swap: [-42, 17, 70, 16, 51, -56, -77, 81]
  Compare 17 and 70
  No swap needed
  Compare 70 and 16
  Swap 70 and 16
  List after swap: [-42, 17, 16, 70, 51, -56, -77, 81]
  Compare 70 and 51
  Swap 70 and 51
  List after swap: [-42, 17, 16, 51, 70, -56, -77, 81]
  Compare 70 and -56
  Swap 70 and -56
  List after swap: [-42, 17, 16, 51, -56, 70, -77, 81]
  Compare 70 and -77
  Swap 70 and -77
  List after swap: [-42, 17, 16, 51, -56, -77, 70, 81]

Pass 3:
  Compare -42 and 17
  No swap needed
  Compare 17 and 16
  Swap 17 and 16
  List after swap: [-42, 16, 17, 51, -56, -77, 70, 81]
  Compare 17 and 51
  No swap needed
  Compare 51 and -56
  Swap 51 and -56
  List after swap: [-42, 16, 17, -56, 51, -77, 70, 81]
  Compare 51 and -77
  Swap 51 and -77
  List after swap: [-42, 16, 17, -56, -77, 51, 70, 81]

Pass 4:
  Compare -42 and 16
  No swap needed
  Compare 16 and 17
  No swap needed
  Compare 17 and -56
  Swap 17 and -56
  List after swap: [-42, 16, -56, 17, -77, 51, 70, 81]
  Compare 17 and -77
  Swap 17 and -77
  List after swap: [-42, 16, -56, -77, 17, 51, 70, 81]

Pass 5:
  Compare -42 and 16
  No swap needed
  Compare 16 and -56
  Swap 16 and -56
  List after swap: [-42, -56, 16, -77, 17, 51, 70, 81]
  Compare 16 and -77
  Swap 16 and -77
  List after swap: [-42, -56, -77, 16, 17, 51, 70, 81]

Pass 6:
  Compare -42 and -56
  Swap -42 and -56
  List after swap: [-56, -42, -77, 16, 17, 51, 70, 81]
  Compare -42 and -77
  Swap -42 and -77
  List after swap: [-56, -77, -42, 16, 17, 51, 70, 81]

Pass 7:
  Compare -56 and -77
  Swap -56 and -77
  List after swap: [-77, -56, -42, 16, 17, 51, 70, 81]

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

Final sorted list: [-77, -56, -42, 16, 17, 51, 70, 81]
</think>

<response>-77, -56, -42, 16, 17, 51, 70, 81</response>


input: Carry out the bubble sort algorithm on 85, 37 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [85, 37]

Pass 1:
  Compare 85 and 37
  Swap 85 and 37
  List after swap: [37, 85]

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

Final sorted list: [37, 85]
</think>

<response>37, 85</response>


input: Sort these integers -29, -16, -38 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-29, -16, -38]

Pass 1:
  Compare -29 and -16
  No swap needed
  Compare -16 and -38
  Swap -16 and -38
  List after swap: [-29, -38, -16]

Pass 2:
  Compare -29 and -38
  Swap -29 and -38
  List after swap: [-38, -29, -16]

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

Final sorted list: [-38, -29, -16]
</think>

<response>-38, -29, -16</response>


input: Demonstrate how bubble sort orders the integers -77, 4, -22, 84, 37, 22, 27, 32 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-77, 4, -22, 84, 37, 22, 27, 32]

Pass 1:
  Compare -77 and 4
  No swap needed
  Compare 4 and -22
  Swap 4 and -22
  List after swap: [-77, -22, 4, 84, 37, 22, 27, 32]
  Compare 4 and 84
  No swap needed
  Compare 84 and 37
  Swap 84 and 37
  List after swap: [-77, -22, 4, 37, 84, 22, 27, 32]
  Compare 84 and 22
  Swap 84 and 22
  List after swap: [-77, -22, 4, 37, 22, 84, 27, 32]
  Compare 84 and 27
  Swap 84 and 27
  List after swap: [-77, -22, 4, 37, 22, 27, 84, 32]
  Compare 84 and 32
  Swap 84 and 32
  List after swap: [-77, -22, 4, 37, 22, 27, 32, 84]

Pass 2:
  Compare -77 and -22
  No swap needed
  Compare -22 and 4
  No swap needed
  Compare 4 and 37
  No swap needed
  Compare 37 and 22
  Swap 37 and 22
  List after swap: [-77, -22, 4, 22, 37, 27, 32, 84]
  Compare 37 and 27
  Swap 37 and 27
  List after swap: [-77, -22, 4, 22, 27, 37, 32, 84]
  Compare 37 and 32
  Swap 37 and 32
  List after swap: [-77, -22, 4, 22, 27, 32, 37, 84]

Pass 3:
  Compare -77 and -22
  No swap needed
  Compare -22 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and 27
  No swap needed
  Compare 27 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -22, 4, 22, 27, 32, 37, 84]
</think>

<response>-77, -22, 4, 22, 27, 32, 37, 84</response>