input: Using the bubble sort method, sort -80, -58, -41, -63, 83, 21, -82, -13, 62, 13 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-80, -58, -41, -63, 83, 21, -82, -13, 62, 13]

Pass 1:
  Compare -80 and -58
  No swap needed
  Compare -58 and -41
  No swap needed
  Compare -41 and -63
  Swap -41 and -63
  List after swap: [-80, -58, -63, -41, 83, 21, -82, -13, 62, 13]
  Compare -41 and 83
  No swap needed
  Compare 83 and 21
  Swap 83 and 21
  List after swap: [-80, -58, -63, -41, 21, 83, -82, -13, 62, 13]
  Compare 83 and -82
  Swap 83 and -82
  List after swap: [-80, -58, -63, -41, 21, -82, 83, -13, 62, 13]
  Compare 83 and -13
  Swap 83 and -13
  List after swap: [-80, -58, -63, -41, 21, -82, -13, 83, 62, 13]
  Compare 83 and 62
  Swap 83 and 62
  List after swap: [-80, -58, -63, -41, 21, -82, -13, 62, 83, 13]
  Compare 83 and 13
  Swap 83 and 13
  List after swap: [-80, -58, -63, -41, 21, -82, -13, 62, 13, 83]

Pass 2:
  Compare -80 and -58
  No swap needed
  Compare -58 and -63
  Swap -58 and -63
  List after swap: [-80, -63, -58, -41, 21, -82, -13, 62, 13, 83]
  Compare -58 and -41
  No swap needed
  Compare -41 and 21
  No swap needed
  Compare 21 and -82
  Swap 21 and -82
  List after swap: [-80, -63, -58, -41, -82, 21, -13, 62, 13, 83]
  Compare 21 and -13
  Swap 21 and -13
  List after swap: [-80, -63, -58, -41, -82, -13, 21, 62, 13, 83]
  Compare 21 and 62
  No swap needed
  Compare 62 and 13
  Swap 62 and 13
  List after swap: [-80, -63, -58, -41, -82, -13, 21, 13, 62, 83]

Pass 3:
  Compare -80 and -63
  No swap needed
  Compare -63 and -58
  No swap needed
  Compare -58 and -41
  No swap needed
  Compare -41 and -82
  Swap -41 and -82
  List after swap: [-80, -63, -58, -82, -41, -13, 21, 13, 62, 83]
  Compare -41 and -13
  No swap needed
  Compare -13 and 21
  No swap needed
  Compare 21 and 13
  Swap 21 and 13
  List after swap: [-80, -63, -58, -82, -41, -13, 13, 21, 62, 83]

Pass 4:
  Compare -80 and -63
  No swap needed
  Compare -63 and -58
  No swap needed
  Compare -58 and -82
  Swap -58 and -82
  List after swap: [-80, -63, -82, -58, -41, -13, 13, 21, 62, 83]
  Compare -58 and -41
  No swap needed
  Compare -41 and -13
  No swap needed
  Compare -13 and 13
  No swap needed

Pass 5:
  Compare -80 and -63
  No swap needed
  Compare -63 and -82
  Swap -63 and -82
  List after swap: [-80, -82, -63, -58, -41, -13, 13, 21, 62, 83]
  Compare -63 and -58
  No swap needed
  Compare -58 and -41
  No swap needed
  Compare -41 and -13
  No swap needed

Pass 6:
  Compare -80 and -82
  Swap -80 and -82
  List after swap: [-82, -80, -63, -58, -41, -13, 13, 21, 62, 83]
  Compare -80 and -63
  No swap needed
  Compare -63 and -58
  No swap needed
  Compare -58 and -41
  No swap needed

Pass 7:
  Compare -82 and -80
  No swap needed
  Compare -80 and -63
  No swap needed
  Compare -63 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -80, -63, -58, -41, -13, 13, 21, 62, 83]
</think>

<response>-82, -80, -63, -58, -41, -13, 13, 21, 62, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 80, -97, 37, -89, -4, 94, -66.

output:
<think>
Initial list: [80, -97, 37, -89, -4, 94, -66]

Pass 1:
  Compare 80 and -97
  Swap 80 and -97
  List after swap: [-97, 80, 37, -89, -4, 94, -66]
  Compare 80 and 37
  Swap 80 and 37
  List after swap: [-97, 37, 80, -89, -4, 94, -66]
  Compare 80 and -89
  Swap 80 and -89
  List after swap: [-97, 37, -89, 80, -4, 94, -66]
  Compare 80 and -4
  Swap 80 and -4
  List after swap: [-97, 37, -89, -4, 80, 94, -66]
  Compare 80 and 94
  No swap needed
  Compare 94 and -66
  Swap 94 and -66
  List after swap: [-97, 37, -89, -4, 80, -66, 94]

Pass 2:
  Compare -97 and 37
  No swap needed
  Compare 37 and -89
  Swap 37 and -89
  List after swap: [-97, -89, 37, -4, 80, -66, 94]
  Compare 37 and -4
  Swap 37 and -4
  List after swap: [-97, -89, -4, 37, 80, -66, 94]
  Compare 37 and 80
  No swap needed
  Compare 80 and -66
  Swap 80 and -66
  List after swap: [-97, -89, -4, 37, -66, 80, 94]

Pass 3:
  Compare -97 and -89
  No swap needed
  Compare -89 and -4
  No swap needed
  Compare -4 and 37
  No swap needed
  Compare 37 and -66
  Swap 37 and -66
  List after swap: [-97, -89, -4, -66, 37, 80, 94]

Pass 4:
  Compare -97 and -89
  No swap needed
  Compare -89 and -4
  No swap needed
  Compare -4 and -66
  Swap -4 and -66
  List after swap: [-97, -89, -66, -4, 37, 80, 94]

Pass 5:
  Compare -97 and -89
  No swap needed
  Compare -89 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -89, -66, -4, 37, 80, 94]
</think>

<response>-97, -89, -66, -4, 37, 80, 94</response>


input: Arrange the numbers -5, 24, -17, 9, -46, -59, 41, -3, -42, 10 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-5, 24, -17, 9, -46, -59, 41, -3, -42, 10]

Pass 1:
  Compare -5 and 24
  No swap needed
  Compare 24 and -17
  Swap 24 and -17
  List after swap: [-5, -17, 24, 9, -46, -59, 41, -3, -42, 10]
  Compare 24 and 9
  Swap 24 and 9
  List after swap: [-5, -17, 9, 24, -46, -59, 41, -3, -42, 10]
  Compare 24 and -46
  Swap 24 and -46
  List after swap: [-5, -17, 9, -46, 24, -59, 41, -3, -42, 10]
  Compare 24 and -59
  Swap 24 and -59
  List after swap: [-5, -17, 9, -46, -59, 24, 41, -3, -42, 10]
  Compare 24 and 41
  No swap needed
  Compare 41 and -3
  Swap 41 and -3
  List after swap: [-5, -17, 9, -46, -59, 24, -3, 41, -42, 10]
  Compare 41 and -42
  Swap 41 and -42
  List after swap: [-5, -17, 9, -46, -59, 24, -3, -42, 41, 10]
  Compare 41 and 10
  Swap 41 and 10
  List after swap: [-5, -17, 9, -46, -59, 24, -3, -42, 10, 41]

Pass 2:
  Compare -5 and -17
  Swap -5 and -17
  List after swap: [-17, -5, 9, -46, -59, 24, -3, -42, 10, 41]
  Compare -5 and 9
  No swap needed
  Compare 9 and -46
  Swap 9 and -46
  List after swap: [-17, -5, -46, 9, -59, 24, -3, -42, 10, 41]
  Compare 9 and -59
  Swap 9 and -59
  List after swap: [-17, -5, -46, -59, 9, 24, -3, -42, 10, 41]
  Compare 9 and 24
  No swap needed
  Compare 24 and -3
  Swap 24 and -3
  List after swap: [-17, -5, -46, -59, 9, -3, 24, -42, 10, 41]
  Compare 24 and -42
  Swap 24 and -42
  List after swap: [-17, -5, -46, -59, 9, -3, -42, 24, 10, 41]
  Compare 24 and 10
  Swap 24 and 10
  List after swap: [-17, -5, -46, -59, 9, -3, -42, 10, 24, 41]

Pass 3:
  Compare -17 and -5
  No swap needed
  Compare -5 and -46
  Swap -5 and -46
  List after swap: [-17, -46, -5, -59, 9, -3, -42, 10, 24, 41]
  Compare -5 and -59
  Swap -5 and -59
  List after swap: [-17, -46, -59, -5, 9, -3, -42, 10, 24, 41]
  Compare -5 and 9
  No swap needed
  Compare 9 and -3
  Swap 9 and -3
  List after swap: [-17, -46, -59, -5, -3, 9, -42, 10, 24, 41]
  Compare 9 and -42
  Swap 9 and -42
  List after swap: [-17, -46, -59, -5, -3, -42, 9, 10, 24, 41]
  Compare 9 and 10
  No swap needed

Pass 4:
  Compare -17 and -46
  Swap -17 and -46
  List after swap: [-46, -17, -59, -5, -3, -42, 9, 10, 24, 41]
  Compare -17 and -59
  Swap -17 and -59
  List after swap: [-46, -59, -17, -5, -3, -42, 9, 10, 24, 41]
  Compare -17 and -5
  No swap needed
  Compare -5 and -3
  No swap needed
  Compare -3 and -42
  Swap -3 and -42
  List after swap: [-46, -59, -17, -5, -42, -3, 9, 10, 24, 41]
  Compare -3 and 9
  No swap needed

Pass 5:
  Compare -46 and -59
  Swap -46 and -59
  List after swap: [-59, -46, -17, -5, -42, -3, 9, 10, 24, 41]
  Compare -46 and -17
  No swap needed
  Compare -17 and -5
  No swap needed
  Compare -5 and -42
  Swap -5 and -42
  List after swap: [-59, -46, -17, -42, -5, -3, 9, 10, 24, 41]
  Compare -5 and -3
  No swap needed

Pass 6:
  Compare -59 and -46
  No swap needed
  Compare -46 and -17
  No swap needed
  Compare -17 and -42
  Swap -17 and -42
  List after swap: [-59, -46, -42, -17, -5, -3, 9, 10, 24, 41]
  Compare -17 and -5
  No swap needed

Pass 7:
  Compare -59 and -46
  No swap needed
  Compare -46 and -42
  No swap needed
  Compare -42 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -46, -42, -17, -5, -3, 9, 10, 24, 41]
</think>

<response>-59, -46, -42, -17, -5, -3, 9, 10, 24, 41</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 63, 50, 25, -91, 29.

output:
<think>
Initial list: [63, 50, 25, -91, 29]

Pass 1:
  Compare 63 and 50
  Swap 63 and 50
  List after swap: [50, 63, 25, -91, 29]
  Compare 63 and 25
  Swap 63 and 25
  List after swap: [50, 25, 63, -91, 29]
  Compare 63 and -91
  Swap 63 and -91
  List after swap: [50, 25, -91, 63, 29]
  Compare 63 and 29
  Swap 63 and 29
  List after swap: [50, 25, -91, 29, 63]

Pass 2:
  Compare 50 and 25
  Swap 50 and 25
  List after swap: [25, 50, -91, 29, 63]
  Compare 50 and -91
  Swap 50 and -91
  List after swap: [25, -91, 50, 29, 63]
  Compare 50 and 29
  Swap 50 and 29
  List after swap: [25, -91, 29, 50, 63]

Pass 3:
  Compare 25 and -91
  Swap 25 and -91
  List after swap: [-91, 25, 29, 50, 63]
  Compare 25 and 29
  No swap needed

Pass 4:
  Compare -91 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, 25, 29, 50, 63]
</think>

<response>-91, 25, 29, 50, 63</response>


input: Demonstrate how bubble sort orders the integers -50, 88, 4, 63, 6, -60, -92 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-50, 88, 4, 63, 6, -60, -92]

Pass 1:
  Compare -50 and 88
  No swap needed
  Compare 88 and 4
  Swap 88 and 4
  List after swap: [-50, 4, 88, 63, 6, -60, -92]
  Compare 88 and 63
  Swap 88 and 63
  List after swap: [-50, 4, 63, 88, 6, -60, -92]
  Compare 88 and 6
  Swap 88 and 6
  List after swap: [-50, 4, 63, 6, 88, -60, -92]
  Compare 88 and -60
  Swap 88 and -60
  List after swap: [-50, 4, 63, 6, -60, 88, -92]
  Compare 88 and -92
  Swap 88 and -92
  List after swap: [-50, 4, 63, 6, -60, -92, 88]

Pass 2:
  Compare -50 and 4
  No swap needed
  Compare 4 and 63
  No swap needed
  Compare 63 and 6
  Swap 63 and 6
  List after swap: [-50, 4, 6, 63, -60, -92, 88]
  Compare 63 and -60
  Swap 63 and -60
  List after swap: [-50, 4, 6, -60, 63, -92, 88]
  Compare 63 and -92
  Swap 63 and -92
  List after swap: [-50, 4, 6, -60, -92, 63, 88]

Pass 3:
  Compare -50 and 4
  No swap needed
  Compare 4 and 6
  No swap needed
  Compare 6 and -60
  Swap 6 and -60
  List after swap: [-50, 4, -60, 6, -92, 63, 88]
  Compare 6 and -92
  Swap 6 and -92
  List after swap: [-50, 4, -60, -92, 6, 63, 88]

Pass 4:
  Compare -50 and 4
  No swap needed
  Compare 4 and -60
  Swap 4 and -60
  List after swap: [-50, -60, 4, -92, 6, 63, 88]
  Compare 4 and -92
  Swap 4 and -92
  List after swap: [-50, -60, -92, 4, 6, 63, 88]

Pass 5:
  Compare -50 and -60
  Swap -50 and -60
  List after swap: [-60, -50, -92, 4, 6, 63, 88]
  Compare -50 and -92
  Swap -50 and -92
  List after swap: [-60, -92, -50, 4, 6, 63, 88]

Pass 6:
  Compare -60 and -92
  Swap -60 and -92
  List after swap: [-92, -60, -50, 4, 6, 63, 88]

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

Final sorted list: [-92, -60, -50, 4, 6, 63, 88]
</think>

<response>-92, -60, -50, 4, 6, 63, 88</response>


input: Sort these integers 81, -90, -7, -65, -36, -37 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [81, -90, -7, -65, -36, -37]

Pass 1:
  Compare 81 and -90
  Swap 81 and -90
  List after swap: [-90, 81, -7, -65, -36, -37]
  Compare 81 and -7
  Swap 81 and -7
  List after swap: [-90, -7, 81, -65, -36, -37]
  Compare 81 and -65
  Swap 81 and -65
  List after swap: [-90, -7, -65, 81, -36, -37]
  Compare 81 and -36
  Swap 81 and -36
  List after swap: [-90, -7, -65, -36, 81, -37]
  Compare 81 and -37
  Swap 81 and -37
  List after swap: [-90, -7, -65, -36, -37, 81]

Pass 2:
  Compare -90 and -7
  No swap needed
  Compare -7 and -65
  Swap -7 and -65
  List after swap: [-90, -65, -7, -36, -37, 81]
  Compare -7 and -36
  Swap -7 and -36
  List after swap: [-90, -65, -36, -7, -37, 81]
  Compare -7 and -37
  Swap -7 and -37
  List after swap: [-90, -65, -36, -37, -7, 81]

Pass 3:
  Compare -90 and -65
  No swap needed
  Compare -65 and -36
  No swap needed
  Compare -36 and -37
  Swap -36 and -37
  List after swap: [-90, -65, -37, -36, -7, 81]

Pass 4:
  Compare -90 and -65
  No swap needed
  Compare -65 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -65, -37, -36, -7, 81]
</think>

<response>-90, -65, -37, -36, -7, 81</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -45, 88, 99, 54, 31, -42, 17.

output:
<think>
Initial list: [-45, 88, 99, 54, 31, -42, 17]

Pass 1:
  Compare -45 and 88
  No swap needed
  Compare 88 and 99
  No swap needed
  Compare 99 and 54
  Swap 99 and 54
  List after swap: [-45, 88, 54, 99, 31, -42, 17]
  Compare 99 and 31
  Swap 99 and 31
  List after swap: [-45, 88, 54, 31, 99, -42, 17]
  Compare 99 and -42
  Swap 99 and -42
  List after swap: [-45, 88, 54, 31, -42, 99, 17]
  Compare 99 and 17
  Swap 99 and 17
  List after swap: [-45, 88, 54, 31, -42, 17, 99]

Pass 2:
  Compare -45 and 88
  No swap needed
  Compare 88 and 54
  Swap 88 and 54
  List after swap: [-45, 54, 88, 31, -42, 17, 99]
  Compare 88 and 31
  Swap 88 and 31
  List after swap: [-45, 54, 31, 88, -42, 17, 99]
  Compare 88 and -42
  Swap 88 and -42
  List after swap: [-45, 54, 31, -42, 88, 17, 99]
  Compare 88 and 17
  Swap 88 and 17
  List after swap: [-45, 54, 31, -42, 17, 88, 99]

Pass 3:
  Compare -45 and 54
  No swap needed
  Compare 54 and 31
  Swap 54 and 31
  List after swap: [-45, 31, 54, -42, 17, 88, 99]
  Compare 54 and -42
  Swap 54 and -42
  List after swap: [-45, 31, -42, 54, 17, 88, 99]
  Compare 54 and 17
  Swap 54 and 17
  List after swap: [-45, 31, -42, 17, 54, 88, 99]

Pass 4:
  Compare -45 and 31
  No swap needed
  Compare 31 and -42
  Swap 31 and -42
  List after swap: [-45, -42, 31, 17, 54, 88, 99]
  Compare 31 and 17
  Swap 31 and 17
  List after swap: [-45, -42, 17, 31, 54, 88, 99]

Pass 5:
  Compare -45 and -42
  No swap needed
  Compare -42 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -42, 17, 31, 54, 88, 99]
</think>

<response>-45, -42, 17, 31, 54, 88, 99</response>


input: Sort these integers 91, 12, 84, 66, -24, 71, 82, 93 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [91, 12, 84, 66, -24, 71, 82, 93]

Pass 1:
  Compare 91 and 12
  Swap 91 and 12
  List after swap: [12, 91, 84, 66, -24, 71, 82, 93]
  Compare 91 and 84
  Swap 91 and 84
  List after swap: [12, 84, 91, 66, -24, 71, 82, 93]
  Compare 91 and 66
  Swap 91 and 66
  List after swap: [12, 84, 66, 91, -24, 71, 82, 93]
  Compare 91 and -24
  Swap 91 and -24
  List after swap: [12, 84, 66, -24, 91, 71, 82, 93]
  Compare 91 and 71
  Swap 91 and 71
  List after swap: [12, 84, 66, -24, 71, 91, 82, 93]
  Compare 91 and 82
  Swap 91 and 82
  List after swap: [12, 84, 66, -24, 71, 82, 91, 93]
  Compare 91 and 93
  No swap needed

Pass 2:
  Compare 12 and 84
  No swap needed
  Compare 84 and 66
  Swap 84 and 66
  List after swap: [12, 66, 84, -24, 71, 82, 91, 93]
  Compare 84 and -24
  Swap 84 and -24
  List after swap: [12, 66, -24, 84, 71, 82, 91, 93]
  Compare 84 and 71
  Swap 84 and 71
  List after swap: [12, 66, -24, 71, 84, 82, 91, 93]
  Compare 84 and 82
  Swap 84 and 82
  List after swap: [12, 66, -24, 71, 82, 84, 91, 93]
  Compare 84 and 91
  No swap needed

Pass 3:
  Compare 12 and 66
  No swap needed
  Compare 66 and -24
  Swap 66 and -24
  List after swap: [12, -24, 66, 71, 82, 84, 91, 93]
  Compare 66 and 71
  No swap needed
  Compare 71 and 82
  No swap needed
  Compare 82 and 84
  No swap needed

Pass 4:
  Compare 12 and -24
  Swap 12 and -24
  List after swap: [-24, 12, 66, 71, 82, 84, 91, 93]
  Compare 12 and 66
  No swap needed
  Compare 66 and 71
  No swap needed
  Compare 71 and 82
  No swap needed

Pass 5:
  Compare -24 and 12
  No swap needed
  Compare 12 and 66
  No swap needed
  Compare 66 and 71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, 12, 66, 71, 82, 84, 91, 93]
</think>

<response>-24, 12, 66, 71, 82, 84, 91, 93</response>


input: Execute bubble sort to sort 36, 96, 71, 97, -6 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [36, 96, 71, 97, -6]

Pass 1:
  Compare 36 and 96
  No swap needed
  Compare 96 and 71
  Swap 96 and 71
  List after swap: [36, 71, 96, 97, -6]
  Compare 96 and 97
  No swap needed
  Compare 97 and -6
  Swap 97 and -6
  List after swap: [36, 71, 96, -6, 97]

Pass 2:
  Compare 36 and 71
  No swap needed
  Compare 71 and 96
  No swap needed
  Compare 96 and -6
  Swap 96 and -6
  List after swap: [36, 71, -6, 96, 97]

Pass 3:
  Compare 36 and 71
  No swap needed
  Compare 71 and -6
  Swap 71 and -6
  List after swap: [36, -6, 71, 96, 97]

Pass 4:
  Compare 36 and -6
  Swap 36 and -6
  List after swap: [-6, 36, 71, 96, 97]

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

Final sorted list: [-6, 36, 71, 96, 97]
</think>

<response>-6, 36, 71, 96, 97</response>


input: Perform a bubble sort on the integers -56, -20, -14, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-56, -20, -14]

Pass 1:
  Compare -56 and -20
  No swap needed
  Compare -20 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -20, -14]
</think>

<response>-56, -20, -14</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -82, 95, 53, 31, 59, -63, -77, -76, 90, 23.

output:
<think>
Initial list: [-82, 95, 53, 31, 59, -63, -77, -76, 90, 23]

Pass 1:
  Compare -82 and 95
  No swap needed
  Compare 95 and 53
  Swap 95 and 53
  List after swap: [-82, 53, 95, 31, 59, -63, -77, -76, 90, 23]
  Compare 95 and 31
  Swap 95 and 31
  List after swap: [-82, 53, 31, 95, 59, -63, -77, -76, 90, 23]
  Compare 95 and 59
  Swap 95 and 59
  List after swap: [-82, 53, 31, 59, 95, -63, -77, -76, 90, 23]
  Compare 95 and -63
  Swap 95 and -63
  List after swap: [-82, 53, 31, 59, -63, 95, -77, -76, 90, 23]
  Compare 95 and -77
  Swap 95 and -77
  List after swap: [-82, 53, 31, 59, -63, -77, 95, -76, 90, 23]
  Compare 95 and -76
  Swap 95 and -76
  List after swap: [-82, 53, 31, 59, -63, -77, -76, 95, 90, 23]
  Compare 95 and 90
  Swap 95 and 90
  List after swap: [-82, 53, 31, 59, -63, -77, -76, 90, 95, 23]
  Compare 95 and 23
  Swap 95 and 23
  List after swap: [-82, 53, 31, 59, -63, -77, -76, 90, 23, 95]

Pass 2:
  Compare -82 and 53
  No swap needed
  Compare 53 and 31
  Swap 53 and 31
  List after swap: [-82, 31, 53, 59, -63, -77, -76, 90, 23, 95]
  Compare 53 and 59
  No swap needed
  Compare 59 and -63
  Swap 59 and -63
  List after swap: [-82, 31, 53, -63, 59, -77, -76, 90, 23, 95]
  Compare 59 and -77
  Swap 59 and -77
  List after swap: [-82, 31, 53, -63, -77, 59, -76, 90, 23, 95]
  Compare 59 and -76
  Swap 59 and -76
  List after swap: [-82, 31, 53, -63, -77, -76, 59, 90, 23, 95]
  Compare 59 and 90
  No swap needed
  Compare 90 and 23
  Swap 90 and 23
  List after swap: [-82, 31, 53, -63, -77, -76, 59, 23, 90, 95]

Pass 3:
  Compare -82 and 31
  No swap needed
  Compare 31 and 53
  No swap needed
  Compare 53 and -63
  Swap 53 and -63
  List after swap: [-82, 31, -63, 53, -77, -76, 59, 23, 90, 95]
  Compare 53 and -77
  Swap 53 and -77
  List after swap: [-82, 31, -63, -77, 53, -76, 59, 23, 90, 95]
  Compare 53 and -76
  Swap 53 and -76
  List after swap: [-82, 31, -63, -77, -76, 53, 59, 23, 90, 95]
  Compare 53 and 59
  No swap needed
  Compare 59 and 23
  Swap 59 and 23
  List after swap: [-82, 31, -63, -77, -76, 53, 23, 59, 90, 95]

Pass 4:
  Compare -82 and 31
  No swap needed
  Compare 31 and -63
  Swap 31 and -63
  List after swap: [-82, -63, 31, -77, -76, 53, 23, 59, 90, 95]
  Compare 31 and -77
  Swap 31 and -77
  List after swap: [-82, -63, -77, 31, -76, 53, 23, 59, 90, 95]
  Compare 31 and -76
  Swap 31 and -76
  List after swap: [-82, -63, -77, -76, 31, 53, 23, 59, 90, 95]
  Compare 31 and 53
  No swap needed
  Compare 53 and 23
  Swap 53 and 23
  List after swap: [-82, -63, -77, -76, 31, 23, 53, 59, 90, 95]

Pass 5:
  Compare -82 and -63
  No swap needed
  Compare -63 and -77
  Swap -63 and -77
  List after swap: [-82, -77, -63, -76, 31, 23, 53, 59, 90, 95]
  Compare -63 and -76
  Swap -63 and -76
  List after swap: [-82, -77, -76, -63, 31, 23, 53, 59, 90, 95]
  Compare -63 and 31
  No swap needed
  Compare 31 and 23
  Swap 31 and 23
  List after swap: [-82, -77, -76, -63, 23, 31, 53, 59, 90, 95]

Pass 6:
  Compare -82 and -77
  No swap needed
  Compare -77 and -76
  No swap needed
  Compare -76 and -63
  No swap needed
  Compare -63 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -77, -76, -63, 23, 31, 53, 59, 90, 95]
</think>

<response>-82, -77, -76, -63, 23, 31, 53, 59, 90, 95</response>


input: Implement bubble sort on 47, 18, -70, 66, 9, -69, -30, 71, -88 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [47, 18, -70, 66, 9, -69, -30, 71, -88]

Pass 1:
  Compare 47 and 18
  Swap 47 and 18
  List after swap: [18, 47, -70, 66, 9, -69, -30, 71, -88]
  Compare 47 and -70
  Swap 47 and -70
  List after swap: [18, -70, 47, 66, 9, -69, -30, 71, -88]
  Compare 47 and 66
  No swap needed
  Compare 66 and 9
  Swap 66 and 9
  List after swap: [18, -70, 47, 9, 66, -69, -30, 71, -88]
  Compare 66 and -69
  Swap 66 and -69
  List after swap: [18, -70, 47, 9, -69, 66, -30, 71, -88]
  Compare 66 and -30
  Swap 66 and -30
  List after swap: [18, -70, 47, 9, -69, -30, 66, 71, -88]
  Compare 66 and 71
  No swap needed
  Compare 71 and -88
  Swap 71 and -88
  List after swap: [18, -70, 47, 9, -69, -30, 66, -88, 71]

Pass 2:
  Compare 18 and -70
  Swap 18 and -70
  List after swap: [-70, 18, 47, 9, -69, -30, 66, -88, 71]
  Compare 18 and 47
  No swap needed
  Compare 47 and 9
  Swap 47 and 9
  List after swap: [-70, 18, 9, 47, -69, -30, 66, -88, 71]
  Compare 47 and -69
  Swap 47 and -69
  List after swap: [-70, 18, 9, -69, 47, -30, 66, -88, 71]
  Compare 47 and -30
  Swap 47 and -30
  List after swap: [-70, 18, 9, -69, -30, 47, 66, -88, 71]
  Compare 47 and 66
  No swap needed
  Compare 66 and -88
  Swap 66 and -88
  List after swap: [-70, 18, 9, -69, -30, 47, -88, 66, 71]

Pass 3:
  Compare -70 and 18
  No swap needed
  Compare 18 and 9
  Swap 18 and 9
  List after swap: [-70, 9, 18, -69, -30, 47, -88, 66, 71]
  Compare 18 and -69
  Swap 18 and -69
  List after swap: [-70, 9, -69, 18, -30, 47, -88, 66, 71]
  Compare 18 and -30
  Swap 18 and -30
  List after swap: [-70, 9, -69, -30, 18, 47, -88, 66, 71]
  Compare 18 and 47
  No swap needed
  Compare 47 and -88
  Swap 47 and -88
  List after swap: [-70, 9, -69, -30, 18, -88, 47, 66, 71]

Pass 4:
  Compare -70 and 9
  No swap needed
  Compare 9 and -69
  Swap 9 and -69
  List after swap: [-70, -69, 9, -30, 18, -88, 47, 66, 71]
  Compare 9 and -30
  Swap 9 and -30
  List after swap: [-70, -69, -30, 9, 18, -88, 47, 66, 71]
  Compare 9 and 18
  No swap needed
  Compare 18 and -88
  Swap 18 and -88
  List after swap: [-70, -69, -30, 9, -88, 18, 47, 66, 71]

Pass 5:
  Compare -70 and -69
  No swap needed
  Compare -69 and -30
  No swap needed
  Compare -30 and 9
  No swap needed
  Compare 9 and -88
  Swap 9 and -88
  List after swap: [-70, -69, -30, -88, 9, 18, 47, 66, 71]

Pass 6:
  Compare -70 and -69
  No swap needed
  Compare -69 and -30
  No swap needed
  Compare -30 and -88
  Swap -30 and -88
  List after swap: [-70, -69, -88, -30, 9, 18, 47, 66, 71]

Pass 7:
  Compare -70 and -69
  No swap needed
  Compare -69 and -88
  Swap -69 and -88
  List after swap: [-70, -88, -69, -30, 9, 18, 47, 66, 71]

Pass 8:
  Compare -70 and -88
  Swap -70 and -88
  List after swap: [-88, -70, -69, -30, 9, 18, 47, 66, 71]

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

Final sorted list: [-88, -70, -69, -30, 9, 18, 47, 66, 71]
</think>

<response>-88, -70, -69, -30, 9, 18, 47, 66, 71</response>


input: Execute bubble sort to sort 88, 19, -46, -100, -74, -89 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [88, 19, -46, -100, -74, -89]

Pass 1:
  Compare 88 and 19
  Swap 88 and 19
  List after swap: [19, 88, -46, -100, -74, -89]
  Compare 88 and -46
  Swap 88 and -46
  List after swap: [19, -46, 88, -100, -74, -89]
  Compare 88 and -100
  Swap 88 and -100
  List after swap: [19, -46, -100, 88, -74, -89]
  Compare 88 and -74
  Swap 88 and -74
  List after swap: [19, -46, -100, -74, 88, -89]
  Compare 88 and -89
  Swap 88 and -89
  List after swap: [19, -46, -100, -74, -89, 88]

Pass 2:
  Compare 19 and -46
  Swap 19 and -46
  List after swap: [-46, 19, -100, -74, -89, 88]
  Compare 19 and -100
  Swap 19 and -100
  List after swap: [-46, -100, 19, -74, -89, 88]
  Compare 19 and -74
  Swap 19 and -74
  List after swap: [-46, -100, -74, 19, -89, 88]
  Compare 19 and -89
  Swap 19 and -89
  List after swap: [-46, -100, -74, -89, 19, 88]

Pass 3:
  Compare -46 and -100
  Swap -46 and -100
  List after swap: [-100, -46, -74, -89, 19, 88]
  Compare -46 and -74
  Swap -46 and -74
  List after swap: [-100, -74, -46, -89, 19, 88]
  Compare -46 and -89
  Swap -46 and -89
  List after swap: [-100, -74, -89, -46, 19, 88]

Pass 4:
  Compare -100 and -74
  No swap needed
  Compare -74 and -89
  Swap -74 and -89
  List after swap: [-100, -89, -74, -46, 19, 88]

Pass 5:
  Compare -100 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -89, -74, -46, 19, 88]
</think>

<response>-100, -89, -74, -46, 19, 88</response>


input: Implement bubble sort on -4, -10 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-4, -10]

Pass 1:
  Compare -4 and -10
  Swap -4 and -10
  List after swap: [-10, -4]

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

Final sorted list: [-10, -4]
</think>

<response>-10, -4</response>


input: Use the bubble sort technique to reorder -14, 77, 27 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-14, 77, 27]

Pass 1:
  Compare -14 and 77
  No swap needed
  Compare 77 and 27
  Swap 77 and 27
  List after swap: [-14, 27, 77]

Pass 2:
  Compare -14 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-14, 27, 77]
</think>

<response>-14, 27, 77</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -55, -30, -54, -98, -26, 24, -78, -7, 48, -32.

output:
<think>
Initial list: [-55, -30, -54, -98, -26, 24, -78, -7, 48, -32]

Pass 1:
  Compare -55 and -30
  No swap needed
  Compare -30 and -54
  Swap -30 and -54
  List after swap: [-55, -54, -30, -98, -26, 24, -78, -7, 48, -32]
  Compare -30 and -98
  Swap -30 and -98
  List after swap: [-55, -54, -98, -30, -26, 24, -78, -7, 48, -32]
  Compare -30 and -26
  No swap needed
  Compare -26 and 24
  No swap needed
  Compare 24 and -78
  Swap 24 and -78
  List after swap: [-55, -54, -98, -30, -26, -78, 24, -7, 48, -32]
  Compare 24 and -7
  Swap 24 and -7
  List after swap: [-55, -54, -98, -30, -26, -78, -7, 24, 48, -32]
  Compare 24 and 48
  No swap needed
  Compare 48 and -32
  Swap 48 and -32
  List after swap: [-55, -54, -98, -30, -26, -78, -7, 24, -32, 48]

Pass 2:
  Compare -55 and -54
  No swap needed
  Compare -54 and -98
  Swap -54 and -98
  List after swap: [-55, -98, -54, -30, -26, -78, -7, 24, -32, 48]
  Compare -54 and -30
  No swap needed
  Compare -30 and -26
  No swap needed
  Compare -26 and -78
  Swap -26 and -78
  List after swap: [-55, -98, -54, -30, -78, -26, -7, 24, -32, 48]
  Compare -26 and -7
  No swap needed
  Compare -7 and 24
  No swap needed
  Compare 24 and -32
  Swap 24 and -32
  List after swap: [-55, -98, -54, -30, -78, -26, -7, -32, 24, 48]

Pass 3:
  Compare -55 and -98
  Swap -55 and -98
  List after swap: [-98, -55, -54, -30, -78, -26, -7, -32, 24, 48]
  Compare -55 and -54
  No swap needed
  Compare -54 and -30
  No swap needed
  Compare -30 and -78
  Swap -30 and -78
  List after swap: [-98, -55, -54, -78, -30, -26, -7, -32, 24, 48]
  Compare -30 and -26
  No swap needed
  Compare -26 and -7
  No swap needed
  Compare -7 and -32
  Swap -7 and -32
  List after swap: [-98, -55, -54, -78, -30, -26, -32, -7, 24, 48]

Pass 4:
  Compare -98 and -55
  No swap needed
  Compare -55 and -54
  No swap needed
  Compare -54 and -78
  Swap -54 and -78
  List after swap: [-98, -55, -78, -54, -30, -26, -32, -7, 24, 48]
  Compare -54 and -30
  No swap needed
  Compare -30 and -26
  No swap needed
  Compare -26 and -32
  Swap -26 and -32
  List after swap: [-98, -55, -78, -54, -30, -32, -26, -7, 24, 48]

Pass 5:
  Compare -98 and -55
  No swap needed
  Compare -55 and -78
  Swap -55 and -78
  List after swap: [-98, -78, -55, -54, -30, -32, -26, -7, 24, 48]
  Compare -55 and -54
  No swap needed
  Compare -54 and -30
  No swap needed
  Compare -30 and -32
  Swap -30 and -32
  List after swap: [-98, -78, -55, -54, -32, -30, -26, -7, 24, 48]

Pass 6:
  Compare -98 and -78
  No swap needed
  Compare -78 and -55
  No swap needed
  Compare -55 and -54
  No swap needed
  Compare -54 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -78, -55, -54, -32, -30, -26, -7, 24, 48]
</think>

<response>-98, -78, -55, -54, -32, -30, -26, -7, 24, 48</response>


input: Perform a bubble sort on the integers 86, -42, 48, -40, -43, -14, -24, 20, -60, 83, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [86, -42, 48, -40, -43, -14, -24, 20, -60, 83]

Pass 1:
  Compare 86 and -42
  Swap 86 and -42
  List after swap: [-42, 86, 48, -40, -43, -14, -24, 20, -60, 83]
  Compare 86 and 48
  Swap 86 and 48
  List after swap: [-42, 48, 86, -40, -43, -14, -24, 20, -60, 83]
  Compare 86 and -40
  Swap 86 and -40
  List after swap: [-42, 48, -40, 86, -43, -14, -24, 20, -60, 83]
  Compare 86 and -43
  Swap 86 and -43
  List after swap: [-42, 48, -40, -43, 86, -14, -24, 20, -60, 83]
  Compare 86 and -14
  Swap 86 and -14
  List after swap: [-42, 48, -40, -43, -14, 86, -24, 20, -60, 83]
  Compare 86 and -24
  Swap 86 and -24
  List after swap: [-42, 48, -40, -43, -14, -24, 86, 20, -60, 83]
  Compare 86 and 20
  Swap 86 and 20
  List after swap: [-42, 48, -40, -43, -14, -24, 20, 86, -60, 83]
  Compare 86 and -60
  Swap 86 and -60
  List after swap: [-42, 48, -40, -43, -14, -24, 20, -60, 86, 83]
  Compare 86 and 83
  Swap 86 and 83
  List after swap: [-42, 48, -40, -43, -14, -24, 20, -60, 83, 86]

Pass 2:
  Compare -42 and 48
  No swap needed
  Compare 48 and -40
  Swap 48 and -40
  List after swap: [-42, -40, 48, -43, -14, -24, 20, -60, 83, 86]
  Compare 48 and -43
  Swap 48 and -43
  List after swap: [-42, -40, -43, 48, -14, -24, 20, -60, 83, 86]
  Compare 48 and -14
  Swap 48 and -14
  List after swap: [-42, -40, -43, -14, 48, -24, 20, -60, 83, 86]
  Compare 48 and -24
  Swap 48 and -24
  List after swap: [-42, -40, -43, -14, -24, 48, 20, -60, 83, 86]
  Compare 48 and 20
  Swap 48 and 20
  List after swap: [-42, -40, -43, -14, -24, 20, 48, -60, 83, 86]
  Compare 48 and -60
  Swap 48 and -60
  List after swap: [-42, -40, -43, -14, -24, 20, -60, 48, 83, 86]
  Compare 48 and 83
  No swap needed

Pass 3:
  Compare -42 and -40
  No swap needed
  Compare -40 and -43
  Swap -40 and -43
  List after swap: [-42, -43, -40, -14, -24, 20, -60, 48, 83, 86]
  Compare -40 and -14
  No swap needed
  Compare -14 and -24
  Swap -14 and -24
  List after swap: [-42, -43, -40, -24, -14, 20, -60, 48, 83, 86]
  Compare -14 and 20
  No swap needed
  Compare 20 and -60
  Swap 20 and -60
  List after swap: [-42, -43, -40, -24, -14, -60, 20, 48, 83, 86]
  Compare 20 and 48
  No swap needed

Pass 4:
  Compare -42 and -43
  Swap -42 and -43
  List after swap: [-43, -42, -40, -24, -14, -60, 20, 48, 83, 86]
  Compare -42 and -40
  No swap needed
  Compare -40 and -24
  No swap needed
  Compare -24 and -14
  No swap needed
  Compare -14 and -60
  Swap -14 and -60
  List after swap: [-43, -42, -40, -24, -60, -14, 20, 48, 83, 86]
  Compare -14 and 20
  No swap needed

Pass 5:
  Compare -43 and -42
  No swap needed
  Compare -42 and -40
  No swap needed
  Compare -40 and -24
  No swap needed
  Compare -24 and -60
  Swap -24 and -60
  List after swap: [-43, -42, -40, -60, -24, -14, 20, 48, 83, 86]
  Compare -24 and -14
  No swap needed

Pass 6:
  Compare -43 and -42
  No swap needed
  Compare -42 and -40
  No swap needed
  Compare -40 and -60
  Swap -40 and -60
  List after swap: [-43, -42, -60, -40, -24, -14, 20, 48, 83, 86]
  Compare -40 and -24
  No swap needed

Pass 7:
  Compare -43 and -42
  No swap needed
  Compare -42 and -60
  Swap -42 and -60
  List after swap: [-43, -60, -42, -40, -24, -14, 20, 48, 83, 86]
  Compare -42 and -40
  No swap needed

Pass 8:
  Compare -43 and -60
  Swap -43 and -60
  List after swap: [-60, -43, -42, -40, -24, -14, 20, 48, 83, 86]
  Compare -43 and -42
  No swap needed

Pass 9:
  Compare -60 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -43, -42, -40, -24, -14, 20, 48, 83, 86]
</think>

<response>-60, -43, -42, -40, -24, -14, 20, 48, 83, 86</response>


input: Execute bubble sort to sort 41, -86 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [41, -86]

Pass 1:
  Compare 41 and -86
  Swap 41 and -86
  List after swap: [-86, 41]

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

Final sorted list: [-86, 41]
</think>

<response>-86, 41</response>


input: Implement bubble sort on -18, -74, -16, -43 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-18, -74, -16, -43]

Pass 1:
  Compare -18 and -74
  Swap -18 and -74
  List after swap: [-74, -18, -16, -43]
  Compare -18 and -16
  No swap needed
  Compare -16 and -43
  Swap -16 and -43
  List after swap: [-74, -18, -43, -16]

Pass 2:
  Compare -74 and -18
  No swap needed
  Compare -18 and -43
  Swap -18 and -43
  List after swap: [-74, -43, -18, -16]

Pass 3:
  Compare -74 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -43, -18, -16]
</think>

<response>-74, -43, -18, -16</response>


input: Demonstrate how bubble sort orders the integers 26, -23, -86, -30 in ascending sequence, showing all steps.

output:
<think>
Initial list: [26, -23, -86, -30]

Pass 1:
  Compare 26 and -23
  Swap 26 and -23
  List after swap: [-23, 26, -86, -30]
  Compare 26 and -86
  Swap 26 and -86
  List after swap: [-23, -86, 26, -30]
  Compare 26 and -30
  Swap 26 and -30
  List after swap: [-23, -86, -30, 26]

Pass 2:
  Compare -23 and -86
  Swap -23 and -86
  List after swap: [-86, -23, -30, 26]
  Compare -23 and -30
  Swap -23 and -30
  List after swap: [-86, -30, -23, 26]

Pass 3:
  Compare -86 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -30, -23, 26]
</think>

<response>-86, -30, -23, 26</response>


input: Sort these integers 84, 72, -54, -96, 14, -61, 27, 65, 30, -36 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [84, 72, -54, -96, 14, -61, 27, 65, 30, -36]

Pass 1:
  Compare 84 and 72
  Swap 84 and 72
  List after swap: [72, 84, -54, -96, 14, -61, 27, 65, 30, -36]
  Compare 84 and -54
  Swap 84 and -54
  List after swap: [72, -54, 84, -96, 14, -61, 27, 65, 30, -36]
  Compare 84 and -96
  Swap 84 and -96
  List after swap: [72, -54, -96, 84, 14, -61, 27, 65, 30, -36]
  Compare 84 and 14
  Swap 84 and 14
  List after swap: [72, -54, -96, 14, 84, -61, 27, 65, 30, -36]
  Compare 84 and -61
  Swap 84 and -61
  List after swap: [72, -54, -96, 14, -61, 84, 27, 65, 30, -36]
  Compare 84 and 27
  Swap 84 and 27
  List after swap: [72, -54, -96, 14, -61, 27, 84, 65, 30, -36]
  Compare 84 and 65
  Swap 84 and 65
  List after swap: [72, -54, -96, 14, -61, 27, 65, 84, 30, -36]
  Compare 84 and 30
  Swap 84 and 30
  List after swap: [72, -54, -96, 14, -61, 27, 65, 30, 84, -36]
  Compare 84 and -36
  Swap 84 and -36
  List after swap: [72, -54, -96, 14, -61, 27, 65, 30, -36, 84]

Pass 2:
  Compare 72 and -54
  Swap 72 and -54
  List after swap: [-54, 72, -96, 14, -61, 27, 65, 30, -36, 84]
  Compare 72 and -96
  Swap 72 and -96
  List after swap: [-54, -96, 72, 14, -61, 27, 65, 30, -36, 84]
  Compare 72 and 14
  Swap 72 and 14
  List after swap: [-54, -96, 14, 72, -61, 27, 65, 30, -36, 84]
  Compare 72 and -61
  Swap 72 and -61
  List after swap: [-54, -96, 14, -61, 72, 27, 65, 30, -36, 84]
  Compare 72 and 27
  Swap 72 and 27
  List after swap: [-54, -96, 14, -61, 27, 72, 65, 30, -36, 84]
  Compare 72 and 65
  Swap 72 and 65
  List after swap: [-54, -96, 14, -61, 27, 65, 72, 30, -36, 84]
  Compare 72 and 30
  Swap 72 and 30
  List after swap: [-54, -96, 14, -61, 27, 65, 30, 72, -36, 84]
  Compare 72 and -36
  Swap 72 and -36
  List after swap: [-54, -96, 14, -61, 27, 65, 30, -36, 72, 84]

Pass 3:
  Compare -54 and -96
  Swap -54 and -96
  List after swap: [-96, -54, 14, -61, 27, 65, 30, -36, 72, 84]
  Compare -54 and 14
  No swap needed
  Compare 14 and -61
  Swap 14 and -61
  List after swap: [-96, -54, -61, 14, 27, 65, 30, -36, 72, 84]
  Compare 14 and 27
  No swap needed
  Compare 27 and 65
  No swap needed
  Compare 65 and 30
  Swap 65 and 30
  List after swap: [-96, -54, -61, 14, 27, 30, 65, -36, 72, 84]
  Compare 65 and -36
  Swap 65 and -36
  List after swap: [-96, -54, -61, 14, 27, 30, -36, 65, 72, 84]

Pass 4:
  Compare -96 and -54
  No swap needed
  Compare -54 and -61
  Swap -54 and -61
  List after swap: [-96, -61, -54, 14, 27, 30, -36, 65, 72, 84]
  Compare -54 and 14
  No swap needed
  Compare 14 and 27
  No swap needed
  Compare 27 and 30
  No swap needed
  Compare 30 and -36
  Swap 30 and -36
  List after swap: [-96, -61, -54, 14, 27, -36, 30, 65, 72, 84]

Pass 5:
  Compare -96 and -61
  No swap needed
  Compare -61 and -54
  No swap needed
  Compare -54 and 14
  No swap needed
  Compare 14 and 27
  No swap needed
  Compare 27 and -36
  Swap 27 and -36
  List after swap: [-96, -61, -54, 14, -36, 27, 30, 65, 72, 84]

Pass 6:
  Compare -96 and -61
  No swap needed
  Compare -61 and -54
  No swap needed
  Compare -54 and 14
  No swap needed
  Compare 14 and -36
  Swap 14 and -36
  List after swap: [-96, -61, -54, -36, 14, 27, 30, 65, 72, 84]

Pass 7:
  Compare -96 and -61
  No swap needed
  Compare -61 and -54
  No swap needed
  Compare -54 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -61, -54, -36, 14, 27, 30, 65, 72, 84]
</think>

<response>-96, -61, -54, -36, 14, 27, 30, 65, 72, 84</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 51, -78, -39, 18, -18, 54.

output:
<think>
Initial list: [51, -78, -39, 18, -18, 54]

Pass 1:
  Compare 51 and -78
  Swap 51 and -78
  List after swap: [-78, 51, -39, 18, -18, 54]
  Compare 51 and -39
  Swap 51 and -39
  List after swap: [-78, -39, 51, 18, -18, 54]
  Compare 51 and 18
  Swap 51 and 18
  List after swap: [-78, -39, 18, 51, -18, 54]
  Compare 51 and -18
  Swap 51 and -18
  List after swap: [-78, -39, 18, -18, 51, 54]
  Compare 51 and 54
  No swap needed

Pass 2:
  Compare -78 and -39
  No swap needed
  Compare -39 and 18
  No swap needed
  Compare 18 and -18
  Swap 18 and -18
  List after swap: [-78, -39, -18, 18, 51, 54]
  Compare 18 and 51
  No swap needed

Pass 3:
  Compare -78 and -39
  No swap needed
  Compare -39 and -18
  No swap needed
  Compare -18 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -39, -18, 18, 51, 54]
</think>

<response>-78, -39, -18, 18, 51, 54</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -76, 66, 10, -93, 30, 56, 36, 88, -10, 23.

output:
<think>
Initial list: [-76, 66, 10, -93, 30, 56, 36, 88, -10, 23]

Pass 1:
  Compare -76 and 66
  No swap needed
  Compare 66 and 10
  Swap 66 and 10
  List after swap: [-76, 10, 66, -93, 30, 56, 36, 88, -10, 23]
  Compare 66 and -93
  Swap 66 and -93
  List after swap: [-76, 10, -93, 66, 30, 56, 36, 88, -10, 23]
  Compare 66 and 30
  Swap 66 and 30
  List after swap: [-76, 10, -93, 30, 66, 56, 36, 88, -10, 23]
  Compare 66 and 56
  Swap 66 and 56
  List after swap: [-76, 10, -93, 30, 56, 66, 36, 88, -10, 23]
  Compare 66 and 36
  Swap 66 and 36
  List after swap: [-76, 10, -93, 30, 56, 36, 66, 88, -10, 23]
  Compare 66 and 88
  No swap needed
  Compare 88 and -10
  Swap 88 and -10
  List after swap: [-76, 10, -93, 30, 56, 36, 66, -10, 88, 23]
  Compare 88 and 23
  Swap 88 and 23
  List after swap: [-76, 10, -93, 30, 56, 36, 66, -10, 23, 88]

Pass 2:
  Compare -76 and 10
  No swap needed
  Compare 10 and -93
  Swap 10 and -93
  List after swap: [-76, -93, 10, 30, 56, 36, 66, -10, 23, 88]
  Compare 10 and 30
  No swap needed
  Compare 30 and 56
  No swap needed
  Compare 56 and 36
  Swap 56 and 36
  List after swap: [-76, -93, 10, 30, 36, 56, 66, -10, 23, 88]
  Compare 56 and 66
  No swap needed
  Compare 66 and -10
  Swap 66 and -10
  List after swap: [-76, -93, 10, 30, 36, 56, -10, 66, 23, 88]
  Compare 66 and 23
  Swap 66 and 23
  List after swap: [-76, -93, 10, 30, 36, 56, -10, 23, 66, 88]

Pass 3:
  Compare -76 and -93
  Swap -76 and -93
  List after swap: [-93, -76, 10, 30, 36, 56, -10, 23, 66, 88]
  Compare -76 and 10
  No swap needed
  Compare 10 and 30
  No swap needed
  Compare 30 and 36
  No swap needed
  Compare 36 and 56
  No swap needed
  Compare 56 and -10
  Swap 56 and -10
  List after swap: [-93, -76, 10, 30, 36, -10, 56, 23, 66, 88]
  Compare 56 and 23
  Swap 56 and 23
  List after swap: [-93, -76, 10, 30, 36, -10, 23, 56, 66, 88]

Pass 4:
  Compare -93 and -76
  No swap needed
  Compare -76 and 10
  No swap needed
  Compare 10 and 30
  No swap needed
  Compare 30 and 36
  No swap needed
  Compare 36 and -10
  Swap 36 and -10
  List after swap: [-93, -76, 10, 30, -10, 36, 23, 56, 66, 88]
  Compare 36 and 23
  Swap 36 and 23
  List after swap: [-93, -76, 10, 30, -10, 23, 36, 56, 66, 88]

Pass 5:
  Compare -93 and -76
  No swap needed
  Compare -76 and 10
  No swap needed
  Compare 10 and 30
  No swap needed
  Compare 30 and -10
  Swap 30 and -10
  List after swap: [-93, -76, 10, -10, 30, 23, 36, 56, 66, 88]
  Compare 30 and 23
  Swap 30 and 23
  List after swap: [-93, -76, 10, -10, 23, 30, 36, 56, 66, 88]

Pass 6:
  Compare -93 and -76
  No swap needed
  Compare -76 and 10
  No swap needed
  Compare 10 and -10
  Swap 10 and -10
  List after swap: [-93, -76, -10, 10, 23, 30, 36, 56, 66, 88]
  Compare 10 and 23
  No swap needed

Pass 7:
  Compare -93 and -76
  No swap needed
  Compare -76 and -10
  No swap needed
  Compare -10 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -76, -10, 10, 23, 30, 36, 56, 66, 88]
</think>

<response>-93, -76, -10, 10, 23, 30, 36, 56, 66, 88</response>


input: Arrange the numbers 86, -26, 63, 95 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [86, -26, 63, 95]

Pass 1:
  Compare 86 and -26
  Swap 86 and -26
  List after swap: [-26, 86, 63, 95]
  Compare 86 and 63
  Swap 86 and 63
  List after swap: [-26, 63, 86, 95]
  Compare 86 and 95
  No swap needed

Pass 2:
  Compare -26 and 63
  No swap needed
  Compare 63 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, 63, 86, 95]
</think>

<response>-26, 63, 86, 95</response>


input: Implement bubble sort on 73, -46, 87, -18, -71, -33, -32 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [73, -46, 87, -18, -71, -33, -32]

Pass 1:
  Compare 73 and -46
  Swap 73 and -46
  List after swap: [-46, 73, 87, -18, -71, -33, -32]
  Compare 73 and 87
  No swap needed
  Compare 87 and -18
  Swap 87 and -18
  List after swap: [-46, 73, -18, 87, -71, -33, -32]
  Compare 87 and -71
  Swap 87 and -71
  List after swap: [-46, 73, -18, -71, 87, -33, -32]
  Compare 87 and -33
  Swap 87 and -33
  List after swap: [-46, 73, -18, -71, -33, 87, -32]
  Compare 87 and -32
  Swap 87 and -32
  List after swap: [-46, 73, -18, -71, -33, -32, 87]

Pass 2:
  Compare -46 and 73
  No swap needed
  Compare 73 and -18
  Swap 73 and -18
  List after swap: [-46, -18, 73, -71, -33, -32, 87]
  Compare 73 and -71
  Swap 73 and -71
  List after swap: [-46, -18, -71, 73, -33, -32, 87]
  Compare 73 and -33
  Swap 73 and -33
  List after swap: [-46, -18, -71, -33, 73, -32, 87]
  Compare 73 and -32
  Swap 73 and -32
  List after swap: [-46, -18, -71, -33, -32, 73, 87]

Pass 3:
  Compare -46 and -18
  No swap needed
  Compare -18 and -71
  Swap -18 and -71
  List after swap: [-46, -71, -18, -33, -32, 73, 87]
  Compare -18 and -33
  Swap -18 and -33
  List after swap: [-46, -71, -33, -18, -32, 73, 87]
  Compare -18 and -32
  Swap -18 and -32
  List after swap: [-46, -71, -33, -32, -18, 73, 87]

Pass 4:
  Compare -46 and -71
  Swap -46 and -71
  List after swap: [-71, -46, -33, -32, -18, 73, 87]
  Compare -46 and -33
  No swap needed
  Compare -33 and -32
  No swap needed

Pass 5:
  Compare -71 and -46
  No swap needed
  Compare -46 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -46, -33, -32, -18, 73, 87]
</think>

<response>-71, -46, -33, -32, -18, 73, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -87, -37, -26, 17, 5, 31, -21.

output:
<think>
Initial list: [-87, -37, -26, 17, 5, 31, -21]

Pass 1:
  Compare -87 and -37
  No swap needed
  Compare -37 and -26
  No swap needed
  Compare -26 and 17
  No swap needed
  Compare 17 and 5
  Swap 17 and 5
  List after swap: [-87, -37, -26, 5, 17, 31, -21]
  Compare 17 and 31
  No swap needed
  Compare 31 and -21
  Swap 31 and -21
  List after swap: [-87, -37, -26, 5, 17, -21, 31]

Pass 2:
  Compare -87 and -37
  No swap needed
  Compare -37 and -26
  No swap needed
  Compare -26 and 5
  No swap needed
  Compare 5 and 17
  No swap needed
  Compare 17 and -21
  Swap 17 and -21
  List after swap: [-87, -37, -26, 5, -21, 17, 31]

Pass 3:
  Compare -87 and -37
  No swap needed
  Compare -37 and -26
  No swap needed
  Compare -26 and 5
  No swap needed
  Compare 5 and -21
  Swap 5 and -21
  List after swap: [-87, -37, -26, -21, 5, 17, 31]

Pass 4:
  Compare -87 and -37
  No swap needed
  Compare -37 and -26
  No swap needed
  Compare -26 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -37, -26, -21, 5, 17, 31]
</think>

<response>-87, -37, -26, -21, 5, 17, 31</response>


input: Sort these integers -99, 20, -31, -21, -67, -61, 19, -83, 1 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-99, 20, -31, -21, -67, -61, 19, -83, 1]

Pass 1:
  Compare -99 and 20
  No swap needed
  Compare 20 and -31
  Swap 20 and -31
  List after swap: [-99, -31, 20, -21, -67, -61, 19, -83, 1]
  Compare 20 and -21
  Swap 20 and -21
  List after swap: [-99, -31, -21, 20, -67, -61, 19, -83, 1]
  Compare 20 and -67
  Swap 20 and -67
  List after swap: [-99, -31, -21, -67, 20, -61, 19, -83, 1]
  Compare 20 and -61
  Swap 20 and -61
  List after swap: [-99, -31, -21, -67, -61, 20, 19, -83, 1]
  Compare 20 and 19
  Swap 20 and 19
  List after swap: [-99, -31, -21, -67, -61, 19, 20, -83, 1]
  Compare 20 and -83
  Swap 20 and -83
  List after swap: [-99, -31, -21, -67, -61, 19, -83, 20, 1]
  Compare 20 and 1
  Swap 20 and 1
  List after swap: [-99, -31, -21, -67, -61, 19, -83, 1, 20]

Pass 2:
  Compare -99 and -31
  No swap needed
  Compare -31 and -21
  No swap needed
  Compare -21 and -67
  Swap -21 and -67
  List after swap: [-99, -31, -67, -21, -61, 19, -83, 1, 20]
  Compare -21 and -61
  Swap -21 and -61
  List after swap: [-99, -31, -67, -61, -21, 19, -83, 1, 20]
  Compare -21 and 19
  No swap needed
  Compare 19 and -83
  Swap 19 and -83
  List after swap: [-99, -31, -67, -61, -21, -83, 19, 1, 20]
  Compare 19 and 1
  Swap 19 and 1
  List after swap: [-99, -31, -67, -61, -21, -83, 1, 19, 20]

Pass 3:
  Compare -99 and -31
  No swap needed
  Compare -31 and -67
  Swap -31 and -67
  List after swap: [-99, -67, -31, -61, -21, -83, 1, 19, 20]
  Compare -31 and -61
  Swap -31 and -61
  List after swap: [-99, -67, -61, -31, -21, -83, 1, 19, 20]
  Compare -31 and -21
  No swap needed
  Compare -21 and -83
  Swap -21 and -83
  List after swap: [-99, -67, -61, -31, -83, -21, 1, 19, 20]
  Compare -21 and 1
  No swap needed

Pass 4:
  Compare -99 and -67
  No swap needed
  Compare -67 and -61
  No swap needed
  Compare -61 and -31
  No swap needed
  Compare -31 and -83
  Swap -31 and -83
  List after swap: [-99, -67, -61, -83, -31, -21, 1, 19, 20]
  Compare -31 and -21
  No swap needed

Pass 5:
  Compare -99 and -67
  No swap needed
  Compare -67 and -61
  No swap needed
  Compare -61 and -83
  Swap -61 and -83
  List after swap: [-99, -67, -83, -61, -31, -21, 1, 19, 20]
  Compare -61 and -31
  No swap needed

Pass 6:
  Compare -99 and -67
  No swap needed
  Compare -67 and -83
  Swap -67 and -83
  List after swap: [-99, -83, -67, -61, -31, -21, 1, 19, 20]
  Compare -67 and -61
  No swap needed

Pass 7:
  Compare -99 and -83
  No swap needed
  Compare -83 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -83, -67, -61, -31, -21, 1, 19, 20]
</think>

<response>-99, -83, -67, -61, -31, -21, 1, 19, 20</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 27, -41, -70, -18.

output:
<think>
Initial list: [27, -41, -70, -18]

Pass 1:
  Compare 27 and -41
  Swap 27 and -41
  List after swap: [-41, 27, -70, -18]
  Compare 27 and -70
  Swap 27 and -70
  List after swap: [-41, -70, 27, -18]
  Compare 27 and -18
  Swap 27 and -18
  List after swap: [-41, -70, -18, 27]

Pass 2:
  Compare -41 and -70
  Swap -41 and -70
  List after swap: [-70, -41, -18, 27]
  Compare -41 and -18
  No swap needed

Pass 3:
  Compare -70 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -41, -18, 27]
</think>

<response>-70, -41, -18, 27</response>


input: Use the bubble sort technique to reorder -64, -16, -7, 62, 67 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-64, -16, -7, 62, 67]

Pass 1:
  Compare -64 and -16
  No swap needed
  Compare -16 and -7
  No swap needed
  Compare -7 and 62
  No swap needed
  Compare 62 and 67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -16, -7, 62, 67]
</think>

<response>-64, -16, -7, 62, 67</response>


input: Carry out the bubble sort algorithm on -57, -48, -15, -79 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-57, -48, -15, -79]

Pass 1:
  Compare -57 and -48
  No swap needed
  Compare -48 and -15
  No swap needed
  Compare -15 and -79
  Swap -15 and -79
  List after swap: [-57, -48, -79, -15]

Pass 2:
  Compare -57 and -48
  No swap needed
  Compare -48 and -79
  Swap -48 and -79
  List after swap: [-57, -79, -48, -15]

Pass 3:
  Compare -57 and -79
  Swap -57 and -79
  List after swap: [-79, -57, -48, -15]

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

Final sorted list: [-79, -57, -48, -15]
</think>

<response>-79, -57, -48, -15</response>


input: Sort these integers -4, -19, -87, 4, -89, 33 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-4, -19, -87, 4, -89, 33]

Pass 1:
  Compare -4 and -19
  Swap -4 and -19
  List after swap: [-19, -4, -87, 4, -89, 33]
  Compare -4 and -87
  Swap -4 and -87
  List after swap: [-19, -87, -4, 4, -89, 33]
  Compare -4 and 4
  No swap needed
  Compare 4 and -89
  Swap 4 and -89
  List after swap: [-19, -87, -4, -89, 4, 33]
  Compare 4 and 33
  No swap needed

Pass 2:
  Compare -19 and -87
  Swap -19 and -87
  List after swap: [-87, -19, -4, -89, 4, 33]
  Compare -19 and -4
  No swap needed
  Compare -4 and -89
  Swap -4 and -89
  List after swap: [-87, -19, -89, -4, 4, 33]
  Compare -4 and 4
  No swap needed

Pass 3:
  Compare -87 and -19
  No swap needed
  Compare -19 and -89
  Swap -19 and -89
  List after swap: [-87, -89, -19, -4, 4, 33]
  Compare -19 and -4
  No swap needed

Pass 4:
  Compare -87 and -89
  Swap -87 and -89
  List after swap: [-89, -87, -19, -4, 4, 33]
  Compare -87 and -19
  No swap needed

Pass 5:
  Compare -89 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -87, -19, -4, 4, 33]
</think>

<response>-89, -87, -19, -4, 4, 33</response>


input: Use the bubble sort technique to reorder -66, -58, 21, -75, 2, 30, 44 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-66, -58, 21, -75, 2, 30, 44]

Pass 1:
  Compare -66 and -58
  No swap needed
  Compare -58 and 21
  No swap needed
  Compare 21 and -75
  Swap 21 and -75
  List after swap: [-66, -58, -75, 21, 2, 30, 44]
  Compare 21 and 2
  Swap 21 and 2
  List after swap: [-66, -58, -75, 2, 21, 30, 44]
  Compare 21 and 30
  No swap needed
  Compare 30 and 44
  No swap needed

Pass 2:
  Compare -66 and -58
  No swap needed
  Compare -58 and -75
  Swap -58 and -75
  List after swap: [-66, -75, -58, 2, 21, 30, 44]
  Compare -58 and 2
  No swap needed
  Compare 2 and 21
  No swap needed
  Compare 21 and 30
  No swap needed

Pass 3:
  Compare -66 and -75
  Swap -66 and -75
  List after swap: [-75, -66, -58, 2, 21, 30, 44]
  Compare -66 and -58
  No swap needed
  Compare -58 and 2
  No swap needed
  Compare 2 and 21
  No swap needed

Pass 4:
  Compare -75 and -66
  No swap needed
  Compare -66 and -58
  No swap needed
  Compare -58 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -66, -58, 2, 21, 30, 44]
</think>

<response>-75, -66, -58, 2, 21, 30, 44</response>


input: Arrange the numbers 23, -48, 51, -66, 53, 41 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [23, -48, 51, -66, 53, 41]

Pass 1:
  Compare 23 and -48
  Swap 23 and -48
  List after swap: [-48, 23, 51, -66, 53, 41]
  Compare 23 and 51
  No swap needed
  Compare 51 and -66
  Swap 51 and -66
  List after swap: [-48, 23, -66, 51, 53, 41]
  Compare 51 and 53
  No swap needed
  Compare 53 and 41
  Swap 53 and 41
  List after swap: [-48, 23, -66, 51, 41, 53]

Pass 2:
  Compare -48 and 23
  No swap needed
  Compare 23 and -66
  Swap 23 and -66
  List after swap: [-48, -66, 23, 51, 41, 53]
  Compare 23 and 51
  No swap needed
  Compare 51 and 41
  Swap 51 and 41
  List after swap: [-48, -66, 23, 41, 51, 53]

Pass 3:
  Compare -48 and -66
  Swap -48 and -66
  List after swap: [-66, -48, 23, 41, 51, 53]
  Compare -48 and 23
  No swap needed
  Compare 23 and 41
  No swap needed

Pass 4:
  Compare -66 and -48
  No swap needed
  Compare -48 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -48, 23, 41, 51, 53]
</think>

<response>-66, -48, 23, 41, 51, 53</response>


input: Demonstrate how bubble sort orders the integers -71, -59, 72 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-71, -59, 72]

Pass 1:
  Compare -71 and -59
  No swap needed
  Compare -59 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -59, 72]
</think>

<response>-71, -59, 72</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -81, 89, 23, -33, -94, 68, 67.

output:
<think>
Initial list: [-81, 89, 23, -33, -94, 68, 67]

Pass 1:
  Compare -81 and 89
  No swap needed
  Compare 89 and 23
  Swap 89 and 23
  List after swap: [-81, 23, 89, -33, -94, 68, 67]
  Compare 89 and -33
  Swap 89 and -33
  List after swap: [-81, 23, -33, 89, -94, 68, 67]
  Compare 89 and -94
  Swap 89 and -94
  List after swap: [-81, 23, -33, -94, 89, 68, 67]
  Compare 89 and 68
  Swap 89 and 68
  List after swap: [-81, 23, -33, -94, 68, 89, 67]
  Compare 89 and 67
  Swap 89 and 67
  List after swap: [-81, 23, -33, -94, 68, 67, 89]

Pass 2:
  Compare -81 and 23
  No swap needed
  Compare 23 and -33
  Swap 23 and -33
  List after swap: [-81, -33, 23, -94, 68, 67, 89]
  Compare 23 and -94
  Swap 23 and -94
  List after swap: [-81, -33, -94, 23, 68, 67, 89]
  Compare 23 and 68
  No swap needed
  Compare 68 and 67
  Swap 68 and 67
  List after swap: [-81, -33, -94, 23, 67, 68, 89]

Pass 3:
  Compare -81 and -33
  No swap needed
  Compare -33 and -94
  Swap -33 and -94
  List after swap: [-81, -94, -33, 23, 67, 68, 89]
  Compare -33 and 23
  No swap needed
  Compare 23 and 67
  No swap needed

Pass 4:
  Compare -81 and -94
  Swap -81 and -94
  List after swap: [-94, -81, -33, 23, 67, 68, 89]
  Compare -81 and -33
  No swap needed
  Compare -33 and 23
  No swap needed

Pass 5:
  Compare -94 and -81
  No swap needed
  Compare -81 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -81, -33, 23, 67, 68, 89]
</think>

<response>-94, -81, -33, 23, 67, 68, 89</response>


input: Carry out the bubble sort algorithm on -27, -89, -43, -52, -29, -42, -3 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-27, -89, -43, -52, -29, -42, -3]

Pass 1:
  Compare -27 and -89
  Swap -27 and -89
  List after swap: [-89, -27, -43, -52, -29, -42, -3]
  Compare -27 and -43
  Swap -27 and -43
  List after swap: [-89, -43, -27, -52, -29, -42, -3]
  Compare -27 and -52
  Swap -27 and -52
  List after swap: [-89, -43, -52, -27, -29, -42, -3]
  Compare -27 and -29
  Swap -27 and -29
  List after swap: [-89, -43, -52, -29, -27, -42, -3]
  Compare -27 and -42
  Swap -27 and -42
  List after swap: [-89, -43, -52, -29, -42, -27, -3]
  Compare -27 and -3
  No swap needed

Pass 2:
  Compare -89 and -43
  No swap needed
  Compare -43 and -52
  Swap -43 and -52
  List after swap: [-89, -52, -43, -29, -42, -27, -3]
  Compare -43 and -29
  No swap needed
  Compare -29 and -42
  Swap -29 and -42
  List after swap: [-89, -52, -43, -42, -29, -27, -3]
  Compare -29 and -27
  No swap needed

Pass 3:
  Compare -89 and -52
  No swap needed
  Compare -52 and -43
  No swap needed
  Compare -43 and -42
  No swap needed
  Compare -42 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -52, -43, -42, -29, -27, -3]
</think>

<response>-89, -52, -43, -42, -29, -27, -3</response>


input: Use the bubble sort technique to reorder -17, 91, -30, -49, 93, -80, -65, 5, 58, 31 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-17, 91, -30, -49, 93, -80, -65, 5, 58, 31]

Pass 1:
  Compare -17 and 91
  No swap needed
  Compare 91 and -30
  Swap 91 and -30
  List after swap: [-17, -30, 91, -49, 93, -80, -65, 5, 58, 31]
  Compare 91 and -49
  Swap 91 and -49
  List after swap: [-17, -30, -49, 91, 93, -80, -65, 5, 58, 31]
  Compare 91 and 93
  No swap needed
  Compare 93 and -80
  Swap 93 and -80
  List after swap: [-17, -30, -49, 91, -80, 93, -65, 5, 58, 31]
  Compare 93 and -65
  Swap 93 and -65
  List after swap: [-17, -30, -49, 91, -80, -65, 93, 5, 58, 31]
  Compare 93 and 5
  Swap 93 and 5
  List after swap: [-17, -30, -49, 91, -80, -65, 5, 93, 58, 31]
  Compare 93 and 58
  Swap 93 and 58
  List after swap: [-17, -30, -49, 91, -80, -65, 5, 58, 93, 31]
  Compare 93 and 31
  Swap 93 and 31
  List after swap: [-17, -30, -49, 91, -80, -65, 5, 58, 31, 93]

Pass 2:
  Compare -17 and -30
  Swap -17 and -30
  List after swap: [-30, -17, -49, 91, -80, -65, 5, 58, 31, 93]
  Compare -17 and -49
  Swap -17 and -49
  List after swap: [-30, -49, -17, 91, -80, -65, 5, 58, 31, 93]
  Compare -17 and 91
  No swap needed
  Compare 91 and -80
  Swap 91 and -80
  List after swap: [-30, -49, -17, -80, 91, -65, 5, 58, 31, 93]
  Compare 91 and -65
  Swap 91 and -65
  List after swap: [-30, -49, -17, -80, -65, 91, 5, 58, 31, 93]
  Compare 91 and 5
  Swap 91 and 5
  List after swap: [-30, -49, -17, -80, -65, 5, 91, 58, 31, 93]
  Compare 91 and 58
  Swap 91 and 58
  List after swap: [-30, -49, -17, -80, -65, 5, 58, 91, 31, 93]
  Compare 91 and 31
  Swap 91 and 31
  List after swap: [-30, -49, -17, -80, -65, 5, 58, 31, 91, 93]

Pass 3:
  Compare -30 and -49
  Swap -30 and -49
  List after swap: [-49, -30, -17, -80, -65, 5, 58, 31, 91, 93]
  Compare -30 and -17
  No swap needed
  Compare -17 and -80
  Swap -17 and -80
  List after swap: [-49, -30, -80, -17, -65, 5, 58, 31, 91, 93]
  Compare -17 and -65
  Swap -17 and -65
  List after swap: [-49, -30, -80, -65, -17, 5, 58, 31, 91, 93]
  Compare -17 and 5
  No swap needed
  Compare 5 and 58
  No swap needed
  Compare 58 and 31
  Swap 58 and 31
  List after swap: [-49, -30, -80, -65, -17, 5, 31, 58, 91, 93]

Pass 4:
  Compare -49 and -30
  No swap needed
  Compare -30 and -80
  Swap -30 and -80
  List after swap: [-49, -80, -30, -65, -17, 5, 31, 58, 91, 93]
  Compare -30 and -65
  Swap -30 and -65
  List after swap: [-49, -80, -65, -30, -17, 5, 31, 58, 91, 93]
  Compare -30 and -17
  No swap needed
  Compare -17 and 5
  No swap needed
  Compare 5 and 31
  No swap needed

Pass 5:
  Compare -49 and -80
  Swap -49 and -80
  List after swap: [-80, -49, -65, -30, -17, 5, 31, 58, 91, 93]
  Compare -49 and -65
  Swap -49 and -65
  List after swap: [-80, -65, -49, -30, -17, 5, 31, 58, 91, 93]
  Compare -49 and -30
  No swap needed
  Compare -30 and -17
  No swap needed
  Compare -17 and 5
  No swap needed

Pass 6:
  Compare -80 and -65
  No swap needed
  Compare -65 and -49
  No swap needed
  Compare -49 and -30
  No swap needed
  Compare -30 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -65, -49, -30, -17, 5, 31, 58, 91, 93]
</think>

<response>-80, -65, -49, -30, -17, 5, 31, 58, 91, 93</response>


input: Execute bubble sort to sort -59, -8, -61, 34, 73 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-59, -8, -61, 34, 73]

Pass 1:
  Compare -59 and -8
  No swap needed
  Compare -8 and -61
  Swap -8 and -61
  List after swap: [-59, -61, -8, 34, 73]
  Compare -8 and 34
  No swap needed
  Compare 34 and 73
  No swap needed

Pass 2:
  Compare -59 and -61
  Swap -59 and -61
  List after swap: [-61, -59, -8, 34, 73]
  Compare -59 and -8
  No swap needed
  Compare -8 and 34
  No swap needed

Pass 3:
  Compare -61 and -59
  No swap needed
  Compare -59 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -59, -8, 34, 73]
</think>

<response>-61, -59, -8, 34, 73</response>


input: Use the bubble sort technique to reorder -88, -22, 46, -6, 12, 27, 6 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-88, -22, 46, -6, 12, 27, 6]

Pass 1:
  Compare -88 and -22
  No swap needed
  Compare -22 and 46
  No swap needed
  Compare 46 and -6
  Swap 46 and -6
  List after swap: [-88, -22, -6, 46, 12, 27, 6]
  Compare 46 and 12
  Swap 46 and 12
  List after swap: [-88, -22, -6, 12, 46, 27, 6]
  Compare 46 and 27
  Swap 46 and 27
  List after swap: [-88, -22, -6, 12, 27, 46, 6]
  Compare 46 and 6
  Swap 46 and 6
  List after swap: [-88, -22, -6, 12, 27, 6, 46]

Pass 2:
  Compare -88 and -22
  No swap needed
  Compare -22 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and 27
  No swap needed
  Compare 27 and 6
  Swap 27 and 6
  List after swap: [-88, -22, -6, 12, 6, 27, 46]

Pass 3:
  Compare -88 and -22
  No swap needed
  Compare -22 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and 6
  Swap 12 and 6
  List after swap: [-88, -22, -6, 6, 12, 27, 46]

Pass 4:
  Compare -88 and -22
  No swap needed
  Compare -22 and -6
  No swap needed
  Compare -6 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -22, -6, 6, 12, 27, 46]
</think>

<response>-88, -22, -6, 6, 12, 27, 46</response>


input: Use the bubble sort technique to reorder -25, -89, -96 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-25, -89, -96]

Pass 1:
  Compare -25 and -89
  Swap -25 and -89
  List after swap: [-89, -25, -96]
  Compare -25 and -96
  Swap -25 and -96
  List after swap: [-89, -96, -25]

Pass 2:
  Compare -89 and -96
  Swap -89 and -96
  List after swap: [-96, -89, -25]

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

Final sorted list: [-96, -89, -25]
</think>

<response>-96, -89, -25</response>


input: Demonstrate how bubble sort orders the integers -90, -50, -18, 18, 61, 77, 91 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-90, -50, -18, 18, 61, 77, 91]

Pass 1:
  Compare -90 and -50
  No swap needed
  Compare -50 and -18
  No swap needed
  Compare -18 and 18
  No swap needed
  Compare 18 and 61
  No swap needed
  Compare 61 and 77
  No swap needed
  Compare 77 and 91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -50, -18, 18, 61, 77, 91]
</think>

<response>-90, -50, -18, 18, 61, 77, 91</response>


input: Execute bubble sort to sort 48, -4, -7, -85, -74, -91 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [48, -4, -7, -85, -74, -91]

Pass 1:
  Compare 48 and -4
  Swap 48 and -4
  List after swap: [-4, 48, -7, -85, -74, -91]
  Compare 48 and -7
  Swap 48 and -7
  List after swap: [-4, -7, 48, -85, -74, -91]
  Compare 48 and -85
  Swap 48 and -85
  List after swap: [-4, -7, -85, 48, -74, -91]
  Compare 48 and -74
  Swap 48 and -74
  List after swap: [-4, -7, -85, -74, 48, -91]
  Compare 48 and -91
  Swap 48 and -91
  List after swap: [-4, -7, -85, -74, -91, 48]

Pass 2:
  Compare -4 and -7
  Swap -4 and -7
  List after swap: [-7, -4, -85, -74, -91, 48]
  Compare -4 and -85
  Swap -4 and -85
  List after swap: [-7, -85, -4, -74, -91, 48]
  Compare -4 and -74
  Swap -4 and -74
  List after swap: [-7, -85, -74, -4, -91, 48]
  Compare -4 and -91
  Swap -4 and -91
  List after swap: [-7, -85, -74, -91, -4, 48]

Pass 3:
  Compare -7 and -85
  Swap -7 and -85
  List after swap: [-85, -7, -74, -91, -4, 48]
  Compare -7 and -74
  Swap -7 and -74
  List after swap: [-85, -74, -7, -91, -4, 48]
  Compare -7 and -91
  Swap -7 and -91
  List after swap: [-85, -74, -91, -7, -4, 48]

Pass 4:
  Compare -85 and -74
  No swap needed
  Compare -74 and -91
  Swap -74 and -91
  List after swap: [-85, -91, -74, -7, -4, 48]

Pass 5:
  Compare -85 and -91
  Swap -85 and -91
  List after swap: [-91, -85, -74, -7, -4, 48]

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

Final sorted list: [-91, -85, -74, -7, -4, 48]
</think>

<response>-91, -85, -74, -7, -4, 48</response>


input: Carry out the bubble sort algorithm on -4, -42, 37, 53, 64, 15, 43 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-4, -42, 37, 53, 64, 15, 43]

Pass 1:
  Compare -4 and -42
  Swap -4 and -42
  List after swap: [-42, -4, 37, 53, 64, 15, 43]
  Compare -4 and 37
  No swap needed
  Compare 37 and 53
  No swap needed
  Compare 53 and 64
  No swap needed
  Compare 64 and 15
  Swap 64 and 15
  List after swap: [-42, -4, 37, 53, 15, 64, 43]
  Compare 64 and 43
  Swap 64 and 43
  List after swap: [-42, -4, 37, 53, 15, 43, 64]

Pass 2:
  Compare -42 and -4
  No swap needed
  Compare -4 and 37
  No swap needed
  Compare 37 and 53
  No swap needed
  Compare 53 and 15
  Swap 53 and 15
  List after swap: [-42, -4, 37, 15, 53, 43, 64]
  Compare 53 and 43
  Swap 53 and 43
  List after swap: [-42, -4, 37, 15, 43, 53, 64]

Pass 3:
  Compare -42 and -4
  No swap needed
  Compare -4 and 37
  No swap needed
  Compare 37 and 15
  Swap 37 and 15
  List after swap: [-42, -4, 15, 37, 43, 53, 64]
  Compare 37 and 43
  No swap needed

Pass 4:
  Compare -42 and -4
  No swap needed
  Compare -4 and 15
  No swap needed
  Compare 15 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -4, 15, 37, 43, 53, 64]
</think>

<response>-42, -4, 15, 37, 43, 53, 64</response>


input: Carry out the bubble sort algorithm on 87, -68, 43, -25, 22, 85, -29, 84, 28 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [87, -68, 43, -25, 22, 85, -29, 84, 28]

Pass 1:
  Compare 87 and -68
  Swap 87 and -68
  List after swap: [-68, 87, 43, -25, 22, 85, -29, 84, 28]
  Compare 87 and 43
  Swap 87 and 43
  List after swap: [-68, 43, 87, -25, 22, 85, -29, 84, 28]
  Compare 87 and -25
  Swap 87 and -25
  List after swap: [-68, 43, -25, 87, 22, 85, -29, 84, 28]
  Compare 87 and 22
  Swap 87 and 22
  List after swap: [-68, 43, -25, 22, 87, 85, -29, 84, 28]
  Compare 87 and 85
  Swap 87 and 85
  List after swap: [-68, 43, -25, 22, 85, 87, -29, 84, 28]
  Compare 87 and -29
  Swap 87 and -29
  List after swap: [-68, 43, -25, 22, 85, -29, 87, 84, 28]
  Compare 87 and 84
  Swap 87 and 84
  List after swap: [-68, 43, -25, 22, 85, -29, 84, 87, 28]
  Compare 87 and 28
  Swap 87 and 28
  List after swap: [-68, 43, -25, 22, 85, -29, 84, 28, 87]

Pass 2:
  Compare -68 and 43
  No swap needed
  Compare 43 and -25
  Swap 43 and -25
  List after swap: [-68, -25, 43, 22, 85, -29, 84, 28, 87]
  Compare 43 and 22
  Swap 43 and 22
  List after swap: [-68, -25, 22, 43, 85, -29, 84, 28, 87]
  Compare 43 and 85
  No swap needed
  Compare 85 and -29
  Swap 85 and -29
  List after swap: [-68, -25, 22, 43, -29, 85, 84, 28, 87]
  Compare 85 and 84
  Swap 85 and 84
  List after swap: [-68, -25, 22, 43, -29, 84, 85, 28, 87]
  Compare 85 and 28
  Swap 85 and 28
  List after swap: [-68, -25, 22, 43, -29, 84, 28, 85, 87]

Pass 3:
  Compare -68 and -25
  No swap needed
  Compare -25 and 22
  No swap needed
  Compare 22 and 43
  No swap needed
  Compare 43 and -29
  Swap 43 and -29
  List after swap: [-68, -25, 22, -29, 43, 84, 28, 85, 87]
  Compare 43 and 84
  No swap needed
  Compare 84 and 28
  Swap 84 and 28
  List after swap: [-68, -25, 22, -29, 43, 28, 84, 85, 87]

Pass 4:
  Compare -68 and -25
  No swap needed
  Compare -25 and 22
  No swap needed
  Compare 22 and -29
  Swap 22 and -29
  List after swap: [-68, -25, -29, 22, 43, 28, 84, 85, 87]
  Compare 22 and 43
  No swap needed
  Compare 43 and 28
  Swap 43 and 28
  List after swap: [-68, -25, -29, 22, 28, 43, 84, 85, 87]

Pass 5:
  Compare -68 and -25
  No swap needed
  Compare -25 and -29
  Swap -25 and -29
  List after swap: [-68, -29, -25, 22, 28, 43, 84, 85, 87]
  Compare -25 and 22
  No swap needed
  Compare 22 and 28
  No swap needed

Pass 6:
  Compare -68 and -29
  No swap needed
  Compare -29 and -25
  No swap needed
  Compare -25 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -29, -25, 22, 28, 43, 84, 85, 87]
</think>

<response>-68, -29, -25, 22, 28, 43, 84, 85, 87</response>


input: Demonstrate how bubble sort orders the integers 23, -43, -66, 95, 7, -58, 43, -32, -81, 28 in ascending sequence, showing all steps.

output:
<think>
Initial list: [23, -43, -66, 95, 7, -58, 43, -32, -81, 28]

Pass 1:
  Compare 23 and -43
  Swap 23 and -43
  List after swap: [-43, 23, -66, 95, 7, -58, 43, -32, -81, 28]
  Compare 23 and -66
  Swap 23 and -66
  List after swap: [-43, -66, 23, 95, 7, -58, 43, -32, -81, 28]
  Compare 23 and 95
  No swap needed
  Compare 95 and 7
  Swap 95 and 7
  List after swap: [-43, -66, 23, 7, 95, -58, 43, -32, -81, 28]
  Compare 95 and -58
  Swap 95 and -58
  List after swap: [-43, -66, 23, 7, -58, 95, 43, -32, -81, 28]
  Compare 95 and 43
  Swap 95 and 43
  List after swap: [-43, -66, 23, 7, -58, 43, 95, -32, -81, 28]
  Compare 95 and -32
  Swap 95 and -32
  List after swap: [-43, -66, 23, 7, -58, 43, -32, 95, -81, 28]
  Compare 95 and -81
  Swap 95 and -81
  List after swap: [-43, -66, 23, 7, -58, 43, -32, -81, 95, 28]
  Compare 95 and 28
  Swap 95 and 28
  List after swap: [-43, -66, 23, 7, -58, 43, -32, -81, 28, 95]

Pass 2:
  Compare -43 and -66
  Swap -43 and -66
  List after swap: [-66, -43, 23, 7, -58, 43, -32, -81, 28, 95]
  Compare -43 and 23
  No swap needed
  Compare 23 and 7
  Swap 23 and 7
  List after swap: [-66, -43, 7, 23, -58, 43, -32, -81, 28, 95]
  Compare 23 and -58
  Swap 23 and -58
  List after swap: [-66, -43, 7, -58, 23, 43, -32, -81, 28, 95]
  Compare 23 and 43
  No swap needed
  Compare 43 and -32
  Swap 43 and -32
  List after swap: [-66, -43, 7, -58, 23, -32, 43, -81, 28, 95]
  Compare 43 and -81
  Swap 43 and -81
  List after swap: [-66, -43, 7, -58, 23, -32, -81, 43, 28, 95]
  Compare 43 and 28
  Swap 43 and 28
  List after swap: [-66, -43, 7, -58, 23, -32, -81, 28, 43, 95]

Pass 3:
  Compare -66 and -43
  No swap needed
  Compare -43 and 7
  No swap needed
  Compare 7 and -58
  Swap 7 and -58
  List after swap: [-66, -43, -58, 7, 23, -32, -81, 28, 43, 95]
  Compare 7 and 23
  No swap needed
  Compare 23 and -32
  Swap 23 and -32
  List after swap: [-66, -43, -58, 7, -32, 23, -81, 28, 43, 95]
  Compare 23 and -81
  Swap 23 and -81
  List after swap: [-66, -43, -58, 7, -32, -81, 23, 28, 43, 95]
  Compare 23 and 28
  No swap needed

Pass 4:
  Compare -66 and -43
  No swap needed
  Compare -43 and -58
  Swap -43 and -58
  List after swap: [-66, -58, -43, 7, -32, -81, 23, 28, 43, 95]
  Compare -43 and 7
  No swap needed
  Compare 7 and -32
  Swap 7 and -32
  List after swap: [-66, -58, -43, -32, 7, -81, 23, 28, 43, 95]
  Compare 7 and -81
  Swap 7 and -81
  List after swap: [-66, -58, -43, -32, -81, 7, 23, 28, 43, 95]
  Compare 7 and 23
  No swap needed

Pass 5:
  Compare -66 and -58
  No swap needed
  Compare -58 and -43
  No swap needed
  Compare -43 and -32
  No swap needed
  Compare -32 and -81
  Swap -32 and -81
  List after swap: [-66, -58, -43, -81, -32, 7, 23, 28, 43, 95]
  Compare -32 and 7
  No swap needed

Pass 6:
  Compare -66 and -58
  No swap needed
  Compare -58 and -43
  No swap needed
  Compare -43 and -81
  Swap -43 and -81
  List after swap: [-66, -58, -81, -43, -32, 7, 23, 28, 43, 95]
  Compare -43 and -32
  No swap needed

Pass 7:
  Compare -66 and -58
  No swap needed
  Compare -58 and -81
  Swap -58 and -81
  List after swap: [-66, -81, -58, -43, -32, 7, 23, 28, 43, 95]
  Compare -58 and -43
  No swap needed

Pass 8:
  Compare -66 and -81
  Swap -66 and -81
  List after swap: [-81, -66, -58, -43, -32, 7, 23, 28, 43, 95]
  Compare -66 and -58
  No swap needed

Pass 9:
  Compare -81 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -66, -58, -43, -32, 7, 23, 28, 43, 95]
</think>

<response>-81, -66, -58, -43, -32, 7, 23, 28, 43, 95</response>


input: Execute bubble sort to sort 27, 64, -39, -66, 97, 22 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [27, 64, -39, -66, 97, 22]

Pass 1:
  Compare 27 and 64
  No swap needed
  Compare 64 and -39
  Swap 64 and -39
  List after swap: [27, -39, 64, -66, 97, 22]
  Compare 64 and -66
  Swap 64 and -66
  List after swap: [27, -39, -66, 64, 97, 22]
  Compare 64 and 97
  No swap needed
  Compare 97 and 22
  Swap 97 and 22
  List after swap: [27, -39, -66, 64, 22, 97]

Pass 2:
  Compare 27 and -39
  Swap 27 and -39
  List after swap: [-39, 27, -66, 64, 22, 97]
  Compare 27 and -66
  Swap 27 and -66
  List after swap: [-39, -66, 27, 64, 22, 97]
  Compare 27 and 64
  No swap needed
  Compare 64 and 22
  Swap 64 and 22
  List after swap: [-39, -66, 27, 22, 64, 97]

Pass 3:
  Compare -39 and -66
  Swap -39 and -66
  List after swap: [-66, -39, 27, 22, 64, 97]
  Compare -39 and 27
  No swap needed
  Compare 27 and 22
  Swap 27 and 22
  List after swap: [-66, -39, 22, 27, 64, 97]

Pass 4:
  Compare -66 and -39
  No swap needed
  Compare -39 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -39, 22, 27, 64, 97]
</think>

<response>-66, -39, 22, 27, 64, 97</response>


input: Sort these integers 89, -2, -31, 66, 48, -85 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [89, -2, -31, 66, 48, -85]

Pass 1:
  Compare 89 and -2
  Swap 89 and -2
  List after swap: [-2, 89, -31, 66, 48, -85]
  Compare 89 and -31
  Swap 89 and -31
  List after swap: [-2, -31, 89, 66, 48, -85]
  Compare 89 and 66
  Swap 89 and 66
  List after swap: [-2, -31, 66, 89, 48, -85]
  Compare 89 and 48
  Swap 89 and 48
  List after swap: [-2, -31, 66, 48, 89, -85]
  Compare 89 and -85
  Swap 89 and -85
  List after swap: [-2, -31, 66, 48, -85, 89]

Pass 2:
  Compare -2 and -31
  Swap -2 and -31
  List after swap: [-31, -2, 66, 48, -85, 89]
  Compare -2 and 66
  No swap needed
  Compare 66 and 48
  Swap 66 and 48
  List after swap: [-31, -2, 48, 66, -85, 89]
  Compare 66 and -85
  Swap 66 and -85
  List after swap: [-31, -2, 48, -85, 66, 89]

Pass 3:
  Compare -31 and -2
  No swap needed
  Compare -2 and 48
  No swap needed
  Compare 48 and -85
  Swap 48 and -85
  List after swap: [-31, -2, -85, 48, 66, 89]

Pass 4:
  Compare -31 and -2
  No swap needed
  Compare -2 and -85
  Swap -2 and -85
  List after swap: [-31, -85, -2, 48, 66, 89]

Pass 5:
  Compare -31 and -85
  Swap -31 and -85
  List after swap: [-85, -31, -2, 48, 66, 89]

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

Final sorted list: [-85, -31, -2, 48, 66, 89]
</think>

<response>-85, -31, -2, 48, 66, 89</response>


input: Use the bubble sort technique to reorder 88, -82, 13, 24 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [88, -82, 13, 24]

Pass 1:
  Compare 88 and -82
  Swap 88 and -82
  List after swap: [-82, 88, 13, 24]
  Compare 88 and 13
  Swap 88 and 13
  List after swap: [-82, 13, 88, 24]
  Compare 88 and 24
  Swap 88 and 24
  List after swap: [-82, 13, 24, 88]

Pass 2:
  Compare -82 and 13
  No swap needed
  Compare 13 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, 13, 24, 88]
</think>

<response>-82, 13, 24, 88</response>


input: Perform a bubble sort on the integers -40, 20, 15, 28, 51, 91, 77, 26, -22, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-40, 20, 15, 28, 51, 91, 77, 26, -22]

Pass 1:
  Compare -40 and 20
  No swap needed
  Compare 20 and 15
  Swap 20 and 15
  List after swap: [-40, 15, 20, 28, 51, 91, 77, 26, -22]
  Compare 20 and 28
  No swap needed
  Compare 28 and 51
  No swap needed
  Compare 51 and 91
  No swap needed
  Compare 91 and 77
  Swap 91 and 77
  List after swap: [-40, 15, 20, 28, 51, 77, 91, 26, -22]
  Compare 91 and 26
  Swap 91 and 26
  List after swap: [-40, 15, 20, 28, 51, 77, 26, 91, -22]
  Compare 91 and -22
  Swap 91 and -22
  List after swap: [-40, 15, 20, 28, 51, 77, 26, -22, 91]

Pass 2:
  Compare -40 and 15
  No swap needed
  Compare 15 and 20
  No swap needed
  Compare 20 and 28
  No swap needed
  Compare 28 and 51
  No swap needed
  Compare 51 and 77
  No swap needed
  Compare 77 and 26
  Swap 77 and 26
  List after swap: [-40, 15, 20, 28, 51, 26, 77, -22, 91]
  Compare 77 and -22
  Swap 77 and -22
  List after swap: [-40, 15, 20, 28, 51, 26, -22, 77, 91]

Pass 3:
  Compare -40 and 15
  No swap needed
  Compare 15 and 20
  No swap needed
  Compare 20 and 28
  No swap needed
  Compare 28 and 51
  No swap needed
  Compare 51 and 26
  Swap 51 and 26
  List after swap: [-40, 15, 20, 28, 26, 51, -22, 77, 91]
  Compare 51 and -22
  Swap 51 and -22
  List after swap: [-40, 15, 20, 28, 26, -22, 51, 77, 91]

Pass 4:
  Compare -40 and 15
  No swap needed
  Compare 15 and 20
  No swap needed
  Compare 20 and 28
  No swap needed
  Compare 28 and 26
  Swap 28 and 26
  List after swap: [-40, 15, 20, 26, 28, -22, 51, 77, 91]
  Compare 28 and -22
  Swap 28 and -22
  List after swap: [-40, 15, 20, 26, -22, 28, 51, 77, 91]

Pass 5:
  Compare -40 and 15
  No swap needed
  Compare 15 and 20
  No swap needed
  Compare 20 and 26
  No swap needed
  Compare 26 and -22
  Swap 26 and -22
  List after swap: [-40, 15, 20, -22, 26, 28, 51, 77, 91]

Pass 6:
  Compare -40 and 15
  No swap needed
  Compare 15 and 20
  No swap needed
  Compare 20 and -22
  Swap 20 and -22
  List after swap: [-40, 15, -22, 20, 26, 28, 51, 77, 91]

Pass 7:
  Compare -40 and 15
  No swap needed
  Compare 15 and -22
  Swap 15 and -22
  List after swap: [-40, -22, 15, 20, 26, 28, 51, 77, 91]

Pass 8:
  Compare -40 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -22, 15, 20, 26, 28, 51, 77, 91]
</think>

<response>-40, -22, 15, 20, 26, 28, 51, 77, 91</response>


input: Use the bubble sort technique to reorder -20, -87, -15, -3, -23, -66, -42, 8, -74 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-20, -87, -15, -3, -23, -66, -42, 8, -74]

Pass 1:
  Compare -20 and -87
  Swap -20 and -87
  List after swap: [-87, -20, -15, -3, -23, -66, -42, 8, -74]
  Compare -20 and -15
  No swap needed
  Compare -15 and -3
  No swap needed
  Compare -3 and -23
  Swap -3 and -23
  List after swap: [-87, -20, -15, -23, -3, -66, -42, 8, -74]
  Compare -3 and -66
  Swap -3 and -66
  List after swap: [-87, -20, -15, -23, -66, -3, -42, 8, -74]
  Compare -3 and -42
  Swap -3 and -42
  List after swap: [-87, -20, -15, -23, -66, -42, -3, 8, -74]
  Compare -3 and 8
  No swap needed
  Compare 8 and -74
  Swap 8 and -74
  List after swap: [-87, -20, -15, -23, -66, -42, -3, -74, 8]

Pass 2:
  Compare -87 and -20
  No swap needed
  Compare -20 and -15
  No swap needed
  Compare -15 and -23
  Swap -15 and -23
  List after swap: [-87, -20, -23, -15, -66, -42, -3, -74, 8]
  Compare -15 and -66
  Swap -15 and -66
  List after swap: [-87, -20, -23, -66, -15, -42, -3, -74, 8]
  Compare -15 and -42
  Swap -15 and -42
  List after swap: [-87, -20, -23, -66, -42, -15, -3, -74, 8]
  Compare -15 and -3
  No swap needed
  Compare -3 and -74
  Swap -3 and -74
  List after swap: [-87, -20, -23, -66, -42, -15, -74, -3, 8]

Pass 3:
  Compare -87 and -20
  No swap needed
  Compare -20 and -23
  Swap -20 and -23
  List after swap: [-87, -23, -20, -66, -42, -15, -74, -3, 8]
  Compare -20 and -66
  Swap -20 and -66
  List after swap: [-87, -23, -66, -20, -42, -15, -74, -3, 8]
  Compare -20 and -42
  Swap -20 and -42
  List after swap: [-87, -23, -66, -42, -20, -15, -74, -3, 8]
  Compare -20 and -15
  No swap needed
  Compare -15 and -74
  Swap -15 and -74
  List after swap: [-87, -23, -66, -42, -20, -74, -15, -3, 8]

Pass 4:
  Compare -87 and -23
  No swap needed
  Compare -23 and -66
  Swap -23 and -66
  List after swap: [-87, -66, -23, -42, -20, -74, -15, -3, 8]
  Compare -23 and -42
  Swap -23 and -42
  List after swap: [-87, -66, -42, -23, -20, -74, -15, -3, 8]
  Compare -23 and -20
  No swap needed
  Compare -20 and -74
  Swap -20 and -74
  List after swap: [-87, -66, -42, -23, -74, -20, -15, -3, 8]

Pass 5:
  Compare -87 and -66
  No swap needed
  Compare -66 and -42
  No swap needed
  Compare -42 and -23
  No swap needed
  Compare -23 and -74
  Swap -23 and -74
  List after swap: [-87, -66, -42, -74, -23, -20, -15, -3, 8]

Pass 6:
  Compare -87 and -66
  No swap needed
  Compare -66 and -42
  No swap needed
  Compare -42 and -74
  Swap -42 and -74
  List after swap: [-87, -66, -74, -42, -23, -20, -15, -3, 8]

Pass 7:
  Compare -87 and -66
  No swap needed
  Compare -66 and -74
  Swap -66 and -74
  List after swap: [-87, -74, -66, -42, -23, -20, -15, -3, 8]

Pass 8:
  Compare -87 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -74, -66, -42, -23, -20, -15, -3, 8]
</think>

<response>-87, -74, -66, -42, -23, -20, -15, -3, 8</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -81, 91, -85.

output:
<think>
Initial list: [-81, 91, -85]

Pass 1:
  Compare -81 and 91
  No swap needed
  Compare 91 and -85
  Swap 91 and -85
  List after swap: [-81, -85, 91]

Pass 2:
  Compare -81 and -85
  Swap -81 and -85
  List after swap: [-85, -81, 91]

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

Final sorted list: [-85, -81, 91]
</think>

<response>-85, -81, 91</response>


input: Sort these integers 72, -77, 51 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [72, -77, 51]

Pass 1:
  Compare 72 and -77
  Swap 72 and -77
  List after swap: [-77, 72, 51]
  Compare 72 and 51
  Swap 72 and 51
  List after swap: [-77, 51, 72]

Pass 2:
  Compare -77 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, 51, 72]
</think>

<response>-77, 51, 72</response>


input: Execute bubble sort to sort -21, 95, 62, -76, 49, 99, 81, 74 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-21, 95, 62, -76, 49, 99, 81, 74]

Pass 1:
  Compare -21 and 95
  No swap needed
  Compare 95 and 62
  Swap 95 and 62
  List after swap: [-21, 62, 95, -76, 49, 99, 81, 74]
  Compare 95 and -76
  Swap 95 and -76
  List after swap: [-21, 62, -76, 95, 49, 99, 81, 74]
  Compare 95 and 49
  Swap 95 and 49
  List after swap: [-21, 62, -76, 49, 95, 99, 81, 74]
  Compare 95 and 99
  No swap needed
  Compare 99 and 81
  Swap 99 and 81
  List after swap: [-21, 62, -76, 49, 95, 81, 99, 74]
  Compare 99 and 74
  Swap 99 and 74
  List after swap: [-21, 62, -76, 49, 95, 81, 74, 99]

Pass 2:
  Compare -21 and 62
  No swap needed
  Compare 62 and -76
  Swap 62 and -76
  List after swap: [-21, -76, 62, 49, 95, 81, 74, 99]
  Compare 62 and 49
  Swap 62 and 49
  List after swap: [-21, -76, 49, 62, 95, 81, 74, 99]
  Compare 62 and 95
  No swap needed
  Compare 95 and 81
  Swap 95 and 81
  List after swap: [-21, -76, 49, 62, 81, 95, 74, 99]
  Compare 95 and 74
  Swap 95 and 74
  List after swap: [-21, -76, 49, 62, 81, 74, 95, 99]

Pass 3:
  Compare -21 and -76
  Swap -21 and -76
  List after swap: [-76, -21, 49, 62, 81, 74, 95, 99]
  Compare -21 and 49
  No swap needed
  Compare 49 and 62
  No swap needed
  Compare 62 and 81
  No swap needed
  Compare 81 and 74
  Swap 81 and 74
  List after swap: [-76, -21, 49, 62, 74, 81, 95, 99]

Pass 4:
  Compare -76 and -21
  No swap needed
  Compare -21 and 49
  No swap needed
  Compare 49 and 62
  No swap needed
  Compare 62 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -21, 49, 62, 74, 81, 95, 99]
</think>

<response>-76, -21, 49, 62, 74, 81, 95, 99</response>


input: Demonstrate how bubble sort orders the integers -77, 3, -38, -31, 67, -81, 57, 25 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-77, 3, -38, -31, 67, -81, 57, 25]

Pass 1:
  Compare -77 and 3
  No swap needed
  Compare 3 and -38
  Swap 3 and -38
  List after swap: [-77, -38, 3, -31, 67, -81, 57, 25]
  Compare 3 and -31
  Swap 3 and -31
  List after swap: [-77, -38, -31, 3, 67, -81, 57, 25]
  Compare 3 and 67
  No swap needed
  Compare 67 and -81
  Swap 67 and -81
  List after swap: [-77, -38, -31, 3, -81, 67, 57, 25]
  Compare 67 and 57
  Swap 67 and 57
  List after swap: [-77, -38, -31, 3, -81, 57, 67, 25]
  Compare 67 and 25
  Swap 67 and 25
  List after swap: [-77, -38, -31, 3, -81, 57, 25, 67]

Pass 2:
  Compare -77 and -38
  No swap needed
  Compare -38 and -31
  No swap needed
  Compare -31 and 3
  No swap needed
  Compare 3 and -81
  Swap 3 and -81
  List after swap: [-77, -38, -31, -81, 3, 57, 25, 67]
  Compare 3 and 57
  No swap needed
  Compare 57 and 25
  Swap 57 and 25
  List after swap: [-77, -38, -31, -81, 3, 25, 57, 67]

Pass 3:
  Compare -77 and -38
  No swap needed
  Compare -38 and -31
  No swap needed
  Compare -31 and -81
  Swap -31 and -81
  List after swap: [-77, -38, -81, -31, 3, 25, 57, 67]
  Compare -31 and 3
  No swap needed
  Compare 3 and 25
  No swap needed

Pass 4:
  Compare -77 and -38
  No swap needed
  Compare -38 and -81
  Swap -38 and -81
  List after swap: [-77, -81, -38, -31, 3, 25, 57, 67]
  Compare -38 and -31
  No swap needed
  Compare -31 and 3
  No swap needed

Pass 5:
  Compare -77 and -81
  Swap -77 and -81
  List after swap: [-81, -77, -38, -31, 3, 25, 57, 67]
  Compare -77 and -38
  No swap needed
  Compare -38 and -31
  No swap needed

Pass 6:
  Compare -81 and -77
  No swap needed
  Compare -77 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -77, -38, -31, 3, 25, 57, 67]
</think>

<response>-81, -77, -38, -31, 3, 25, 57, 67</response>


input: Sort these integers 6, -63, 0, -70, -56, -79, -29, 59 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [6, -63, 0, -70, -56, -79, -29, 59]

Pass 1:
  Compare 6 and -63
  Swap 6 and -63
  List after swap: [-63, 6, 0, -70, -56, -79, -29, 59]
  Compare 6 and 0
  Swap 6 and 0
  List after swap: [-63, 0, 6, -70, -56, -79, -29, 59]
  Compare 6 and -70
  Swap 6 and -70
  List after swap: [-63, 0, -70, 6, -56, -79, -29, 59]
  Compare 6 and -56
  Swap 6 and -56
  List after swap: [-63, 0, -70, -56, 6, -79, -29, 59]
  Compare 6 and -79
  Swap 6 and -79
  List after swap: [-63, 0, -70, -56, -79, 6, -29, 59]
  Compare 6 and -29
  Swap 6 and -29
  List after swap: [-63, 0, -70, -56, -79, -29, 6, 59]
  Compare 6 and 59
  No swap needed

Pass 2:
  Compare -63 and 0
  No swap needed
  Compare 0 and -70
  Swap 0 and -70
  List after swap: [-63, -70, 0, -56, -79, -29, 6, 59]
  Compare 0 and -56
  Swap 0 and -56
  List after swap: [-63, -70, -56, 0, -79, -29, 6, 59]
  Compare 0 and -79
  Swap 0 and -79
  List after swap: [-63, -70, -56, -79, 0, -29, 6, 59]
  Compare 0 and -29
  Swap 0 and -29
  List after swap: [-63, -70, -56, -79, -29, 0, 6, 59]
  Compare 0 and 6
  No swap needed

Pass 3:
  Compare -63 and -70
  Swap -63 and -70
  List after swap: [-70, -63, -56, -79, -29, 0, 6, 59]
  Compare -63 and -56
  No swap needed
  Compare -56 and -79
  Swap -56 and -79
  List after swap: [-70, -63, -79, -56, -29, 0, 6, 59]
  Compare -56 and -29
  No swap needed
  Compare -29 and 0
  No swap needed

Pass 4:
  Compare -70 and -63
  No swap needed
  Compare -63 and -79
  Swap -63 and -79
  List after swap: [-70, -79, -63, -56, -29, 0, 6, 59]
  Compare -63 and -56
  No swap needed
  Compare -56 and -29
  No swap needed

Pass 5:
  Compare -70 and -79
  Swap -70 and -79
  List after swap: [-79, -70, -63, -56, -29, 0, 6, 59]
  Compare -70 and -63
  No swap needed
  Compare -63 and -56
  No swap needed

Pass 6:
  Compare -79 and -70
  No swap needed
  Compare -70 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -70, -63, -56, -29, 0, 6, 59]
</think>

<response>-79, -70, -63, -56, -29, 0, 6, 59</response>


input: Carry out the bubble sort algorithm on -59, 73, 8, -14, 40, -81 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-59, 73, 8, -14, 40, -81]

Pass 1:
  Compare -59 and 73
  No swap needed
  Compare 73 and 8
  Swap 73 and 8
  List after swap: [-59, 8, 73, -14, 40, -81]
  Compare 73 and -14
  Swap 73 and -14
  List after swap: [-59, 8, -14, 73, 40, -81]
  Compare 73 and 40
  Swap 73 and 40
  List after swap: [-59, 8, -14, 40, 73, -81]
  Compare 73 and -81
  Swap 73 and -81
  List after swap: [-59, 8, -14, 40, -81, 73]

Pass 2:
  Compare -59 and 8
  No swap needed
  Compare 8 and -14
  Swap 8 and -14
  List after swap: [-59, -14, 8, 40, -81, 73]
  Compare 8 and 40
  No swap needed
  Compare 40 and -81
  Swap 40 and -81
  List after swap: [-59, -14, 8, -81, 40, 73]

Pass 3:
  Compare -59 and -14
  No swap needed
  Compare -14 and 8
  No swap needed
  Compare 8 and -81
  Swap 8 and -81
  List after swap: [-59, -14, -81, 8, 40, 73]

Pass 4:
  Compare -59 and -14
  No swap needed
  Compare -14 and -81
  Swap -14 and -81
  List after swap: [-59, -81, -14, 8, 40, 73]

Pass 5:
  Compare -59 and -81
  Swap -59 and -81
  List after swap: [-81, -59, -14, 8, 40, 73]

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

Final sorted list: [-81, -59, -14, 8, 40, 73]
</think>

<response>-81, -59, -14, 8, 40, 73</response>


input: Perform a bubble sort on the integers -59, 54, -37, 10, 43, -63, -17, -93, 28, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-59, 54, -37, 10, 43, -63, -17, -93, 28]

Pass 1:
  Compare -59 and 54
  No swap needed
  Compare 54 and -37
  Swap 54 and -37
  List after swap: [-59, -37, 54, 10, 43, -63, -17, -93, 28]
  Compare 54 and 10
  Swap 54 and 10
  List after swap: [-59, -37, 10, 54, 43, -63, -17, -93, 28]
  Compare 54 and 43
  Swap 54 and 43
  List after swap: [-59, -37, 10, 43, 54, -63, -17, -93, 28]
  Compare 54 and -63
  Swap 54 and -63
  List after swap: [-59, -37, 10, 43, -63, 54, -17, -93, 28]
  Compare 54 and -17
  Swap 54 and -17
  List after swap: [-59, -37, 10, 43, -63, -17, 54, -93, 28]
  Compare 54 and -93
  Swap 54 and -93
  List after swap: [-59, -37, 10, 43, -63, -17, -93, 54, 28]
  Compare 54 and 28
  Swap 54 and 28
  List after swap: [-59, -37, 10, 43, -63, -17, -93, 28, 54]

Pass 2:
  Compare -59 and -37
  No swap needed
  Compare -37 and 10
  No swap needed
  Compare 10 and 43
  No swap needed
  Compare 43 and -63
  Swap 43 and -63
  List after swap: [-59, -37, 10, -63, 43, -17, -93, 28, 54]
  Compare 43 and -17
  Swap 43 and -17
  List after swap: [-59, -37, 10, -63, -17, 43, -93, 28, 54]
  Compare 43 and -93
  Swap 43 and -93
  List after swap: [-59, -37, 10, -63, -17, -93, 43, 28, 54]
  Compare 43 and 28
  Swap 43 and 28
  List after swap: [-59, -37, 10, -63, -17, -93, 28, 43, 54]

Pass 3:
  Compare -59 and -37
  No swap needed
  Compare -37 and 10
  No swap needed
  Compare 10 and -63
  Swap 10 and -63
  List after swap: [-59, -37, -63, 10, -17, -93, 28, 43, 54]
  Compare 10 and -17
  Swap 10 and -17
  List after swap: [-59, -37, -63, -17, 10, -93, 28, 43, 54]
  Compare 10 and -93
  Swap 10 and -93
  List after swap: [-59, -37, -63, -17, -93, 10, 28, 43, 54]
  Compare 10 and 28
  No swap needed

Pass 4:
  Compare -59 and -37
  No swap needed
  Compare -37 and -63
  Swap -37 and -63
  List after swap: [-59, -63, -37, -17, -93, 10, 28, 43, 54]
  Compare -37 and -17
  No swap needed
  Compare -17 and -93
  Swap -17 and -93
  List after swap: [-59, -63, -37, -93, -17, 10, 28, 43, 54]
  Compare -17 and 10
  No swap needed

Pass 5:
  Compare -59 and -63
  Swap -59 and -63
  List after swap: [-63, -59, -37, -93, -17, 10, 28, 43, 54]
  Compare -59 and -37
  No swap needed
  Compare -37 and -93
  Swap -37 and -93
  List after swap: [-63, -59, -93, -37, -17, 10, 28, 43, 54]
  Compare -37 and -17
  No swap needed

Pass 6:
  Compare -63 and -59
  No swap needed
  Compare -59 and -93
  Swap -59 and -93
  List after swap: [-63, -93, -59, -37, -17, 10, 28, 43, 54]
  Compare -59 and -37
  No swap needed

Pass 7:
  Compare -63 and -93
  Swap -63 and -93
  List after swap: [-93, -63, -59, -37, -17, 10, 28, 43, 54]
  Compare -63 and -59
  No swap needed

Pass 8:
  Compare -93 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -63, -59, -37, -17, 10, 28, 43, 54]
</think>

<response>-93, -63, -59, -37, -17, 10, 28, 43, 54</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -90, 73.

output:
<think>
Initial list: [-90, 73]

Pass 1:
  Compare -90 and 73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 73]
</think>

<response>-90, 73</response>


input: Implement bubble sort on -73, -85, -91, 6, 82, -16, -6, -51, -94 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-73, -85, -91, 6, 82, -16, -6, -51, -94]

Pass 1:
  Compare -73 and -85
  Swap -73 and -85
  List after swap: [-85, -73, -91, 6, 82, -16, -6, -51, -94]
  Compare -73 and -91
  Swap -73 and -91
  List after swap: [-85, -91, -73, 6, 82, -16, -6, -51, -94]
  Compare -73 and 6
  No swap needed
  Compare 6 and 82
  No swap needed
  Compare 82 and -16
  Swap 82 and -16
  List after swap: [-85, -91, -73, 6, -16, 82, -6, -51, -94]
  Compare 82 and -6
  Swap 82 and -6
  List after swap: [-85, -91, -73, 6, -16, -6, 82, -51, -94]
  Compare 82 and -51
  Swap 82 and -51
  List after swap: [-85, -91, -73, 6, -16, -6, -51, 82, -94]
  Compare 82 and -94
  Swap 82 and -94
  List after swap: [-85, -91, -73, 6, -16, -6, -51, -94, 82]

Pass 2:
  Compare -85 and -91
  Swap -85 and -91
  List after swap: [-91, -85, -73, 6, -16, -6, -51, -94, 82]
  Compare -85 and -73
  No swap needed
  Compare -73 and 6
  No swap needed
  Compare 6 and -16
  Swap 6 and -16
  List after swap: [-91, -85, -73, -16, 6, -6, -51, -94, 82]
  Compare 6 and -6
  Swap 6 and -6
  List after swap: [-91, -85, -73, -16, -6, 6, -51, -94, 82]
  Compare 6 and -51
  Swap 6 and -51
  List after swap: [-91, -85, -73, -16, -6, -51, 6, -94, 82]
  Compare 6 and -94
  Swap 6 and -94
  List after swap: [-91, -85, -73, -16, -6, -51, -94, 6, 82]

Pass 3:
  Compare -91 and -85
  No swap needed
  Compare -85 and -73
  No swap needed
  Compare -73 and -16
  No swap needed
  Compare -16 and -6
  No swap needed
  Compare -6 and -51
  Swap -6 and -51
  List after swap: [-91, -85, -73, -16, -51, -6, -94, 6, 82]
  Compare -6 and -94
  Swap -6 and -94
  List after swap: [-91, -85, -73, -16, -51, -94, -6, 6, 82]

Pass 4:
  Compare -91 and -85
  No swap needed
  Compare -85 and -73
  No swap needed
  Compare -73 and -16
  No swap needed
  Compare -16 and -51
  Swap -16 and -51
  List after swap: [-91, -85, -73, -51, -16, -94, -6, 6, 82]
  Compare -16 and -94
  Swap -16 and -94
  List after swap: [-91, -85, -73, -51, -94, -16, -6, 6, 82]

Pass 5:
  Compare -91 and -85
  No swap needed
  Compare -85 and -73
  No swap needed
  Compare -73 and -51
  No swap needed
  Compare -51 and -94
  Swap -51 and -94
  List after swap: [-91, -85, -73, -94, -51, -16, -6, 6, 82]

Pass 6:
  Compare -91 and -85
  No swap needed
  Compare -85 and -73
  No swap needed
  Compare -73 and -94
  Swap -73 and -94
  List after swap: [-91, -85, -94, -73, -51, -16, -6, 6, 82]

Pass 7:
  Compare -91 and -85
  No swap needed
  Compare -85 and -94
  Swap -85 and -94
  List after swap: [-91, -94, -85, -73, -51, -16, -6, 6, 82]

Pass 8:
  Compare -91 and -94
  Swap -91 and -94
  List after swap: [-94, -91, -85, -73, -51, -16, -6, 6, 82]

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

Final sorted list: [-94, -91, -85, -73, -51, -16, -6, 6, 82]
</think>

<response>-94, -91, -85, -73, -51, -16, -6, 6, 82</response>


input: Using the bubble sort method, sort 10, -99, -58 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [10, -99, -58]

Pass 1:
  Compare 10 and -99
  Swap 10 and -99
  List after swap: [-99, 10, -58]
  Compare 10 and -58
  Swap 10 and -58
  List after swap: [-99, -58, 10]

Pass 2:
  Compare -99 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -58, 10]
</think>

<response>-99, -58, 10</response>