input: Sort these integers -5, 36, 76, 24, -32, -50, -6, 83, -52, 64 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-5, 36, 76, 24, -32, -50, -6, 83, -52, 64]

Pass 1:
  Compare -5 and 36
  No swap needed
  Compare 36 and 76
  No swap needed
  Compare 76 and 24
  Swap 76 and 24
  List after swap: [-5, 36, 24, 76, -32, -50, -6, 83, -52, 64]
  Compare 76 and -32
  Swap 76 and -32
  List after swap: [-5, 36, 24, -32, 76, -50, -6, 83, -52, 64]
  Compare 76 and -50
  Swap 76 and -50
  List after swap: [-5, 36, 24, -32, -50, 76, -6, 83, -52, 64]
  Compare 76 and -6
  Swap 76 and -6
  List after swap: [-5, 36, 24, -32, -50, -6, 76, 83, -52, 64]
  Compare 76 and 83
  No swap needed
  Compare 83 and -52
  Swap 83 and -52
  List after swap: [-5, 36, 24, -32, -50, -6, 76, -52, 83, 64]
  Compare 83 and 64
  Swap 83 and 64
  List after swap: [-5, 36, 24, -32, -50, -6, 76, -52, 64, 83]

Pass 2:
  Compare -5 and 36
  No swap needed
  Compare 36 and 24
  Swap 36 and 24
  List after swap: [-5, 24, 36, -32, -50, -6, 76, -52, 64, 83]
  Compare 36 and -32
  Swap 36 and -32
  List after swap: [-5, 24, -32, 36, -50, -6, 76, -52, 64, 83]
  Compare 36 and -50
  Swap 36 and -50
  List after swap: [-5, 24, -32, -50, 36, -6, 76, -52, 64, 83]
  Compare 36 and -6
  Swap 36 and -6
  List after swap: [-5, 24, -32, -50, -6, 36, 76, -52, 64, 83]
  Compare 36 and 76
  No swap needed
  Compare 76 and -52
  Swap 76 and -52
  List after swap: [-5, 24, -32, -50, -6, 36, -52, 76, 64, 83]
  Compare 76 and 64
  Swap 76 and 64
  List after swap: [-5, 24, -32, -50, -6, 36, -52, 64, 76, 83]

Pass 3:
  Compare -5 and 24
  No swap needed
  Compare 24 and -32
  Swap 24 and -32
  List after swap: [-5, -32, 24, -50, -6, 36, -52, 64, 76, 83]
  Compare 24 and -50
  Swap 24 and -50
  List after swap: [-5, -32, -50, 24, -6, 36, -52, 64, 76, 83]
  Compare 24 and -6
  Swap 24 and -6
  List after swap: [-5, -32, -50, -6, 24, 36, -52, 64, 76, 83]
  Compare 24 and 36
  No swap needed
  Compare 36 and -52
  Swap 36 and -52
  List after swap: [-5, -32, -50, -6, 24, -52, 36, 64, 76, 83]
  Compare 36 and 64
  No swap needed

Pass 4:
  Compare -5 and -32
  Swap -5 and -32
  List after swap: [-32, -5, -50, -6, 24, -52, 36, 64, 76, 83]
  Compare -5 and -50
  Swap -5 and -50
  List after swap: [-32, -50, -5, -6, 24, -52, 36, 64, 76, 83]
  Compare -5 and -6
  Swap -5 and -6
  List after swap: [-32, -50, -6, -5, 24, -52, 36, 64, 76, 83]
  Compare -5 and 24
  No swap needed
  Compare 24 and -52
  Swap 24 and -52
  List after swap: [-32, -50, -6, -5, -52, 24, 36, 64, 76, 83]
  Compare 24 and 36
  No swap needed

Pass 5:
  Compare -32 and -50
  Swap -32 and -50
  List after swap: [-50, -32, -6, -5, -52, 24, 36, 64, 76, 83]
  Compare -32 and -6
  No swap needed
  Compare -6 and -5
  No swap needed
  Compare -5 and -52
  Swap -5 and -52
  List after swap: [-50, -32, -6, -52, -5, 24, 36, 64, 76, 83]
  Compare -5 and 24
  No swap needed

Pass 6:
  Compare -50 and -32
  No swap needed
  Compare -32 and -6
  No swap needed
  Compare -6 and -52
  Swap -6 and -52
  List after swap: [-50, -32, -52, -6, -5, 24, 36, 64, 76, 83]
  Compare -6 and -5
  No swap needed

Pass 7:
  Compare -50 and -32
  No swap needed
  Compare -32 and -52
  Swap -32 and -52
  List after swap: [-50, -52, -32, -6, -5, 24, 36, 64, 76, 83]
  Compare -32 and -6
  No swap needed

Pass 8:
  Compare -50 and -52
  Swap -50 and -52
  List after swap: [-52, -50, -32, -6, -5, 24, 36, 64, 76, 83]
  Compare -50 and -32
  No swap needed

Pass 9:
  Compare -52 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -50, -32, -6, -5, 24, 36, 64, 76, 83]
</think>

<response>-52, -50, -32, -6, -5, 24, 36, 64, 76, 83</response>


input: Sort these integers 99, 85, 10, -97, 90 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [99, 85, 10, -97, 90]

Pass 1:
  Compare 99 and 85
  Swap 99 and 85
  List after swap: [85, 99, 10, -97, 90]
  Compare 99 and 10
  Swap 99 and 10
  List after swap: [85, 10, 99, -97, 90]
  Compare 99 and -97
  Swap 99 and -97
  List after swap: [85, 10, -97, 99, 90]
  Compare 99 and 90
  Swap 99 and 90
  List after swap: [85, 10, -97, 90, 99]

Pass 2:
  Compare 85 and 10
  Swap 85 and 10
  List after swap: [10, 85, -97, 90, 99]
  Compare 85 and -97
  Swap 85 and -97
  List after swap: [10, -97, 85, 90, 99]
  Compare 85 and 90
  No swap needed

Pass 3:
  Compare 10 and -97
  Swap 10 and -97
  List after swap: [-97, 10, 85, 90, 99]
  Compare 10 and 85
  No swap needed

Pass 4:
  Compare -97 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, 10, 85, 90, 99]
</think>

<response>-97, 10, 85, 90, 99</response>


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

output:
<think>
Initial list: [15, -64]

Pass 1:
  Compare 15 and -64
  Swap 15 and -64
  List after swap: [-64, 15]

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

Final sorted list: [-64, 15]
</think>

<response>-64, 15</response>


input: Carry out the bubble sort algorithm on 81, 63, -20, 12 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [81, 63, -20, 12]

Pass 1:
  Compare 81 and 63
  Swap 81 and 63
  List after swap: [63, 81, -20, 12]
  Compare 81 and -20
  Swap 81 and -20
  List after swap: [63, -20, 81, 12]
  Compare 81 and 12
  Swap 81 and 12
  List after swap: [63, -20, 12, 81]

Pass 2:
  Compare 63 and -20
  Swap 63 and -20
  List after swap: [-20, 63, 12, 81]
  Compare 63 and 12
  Swap 63 and 12
  List after swap: [-20, 12, 63, 81]

Pass 3:
  Compare -20 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, 12, 63, 81]
</think>

<response>-20, 12, 63, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -48, 13, 91, 36, 22, -56.

output:
<think>
Initial list: [-48, 13, 91, 36, 22, -56]

Pass 1:
  Compare -48 and 13
  No swap needed
  Compare 13 and 91
  No swap needed
  Compare 91 and 36
  Swap 91 and 36
  List after swap: [-48, 13, 36, 91, 22, -56]
  Compare 91 and 22
  Swap 91 and 22
  List after swap: [-48, 13, 36, 22, 91, -56]
  Compare 91 and -56
  Swap 91 and -56
  List after swap: [-48, 13, 36, 22, -56, 91]

Pass 2:
  Compare -48 and 13
  No swap needed
  Compare 13 and 36
  No swap needed
  Compare 36 and 22
  Swap 36 and 22
  List after swap: [-48, 13, 22, 36, -56, 91]
  Compare 36 and -56
  Swap 36 and -56
  List after swap: [-48, 13, 22, -56, 36, 91]

Pass 3:
  Compare -48 and 13
  No swap needed
  Compare 13 and 22
  No swap needed
  Compare 22 and -56
  Swap 22 and -56
  List after swap: [-48, 13, -56, 22, 36, 91]

Pass 4:
  Compare -48 and 13
  No swap needed
  Compare 13 and -56
  Swap 13 and -56
  List after swap: [-48, -56, 13, 22, 36, 91]

Pass 5:
  Compare -48 and -56
  Swap -48 and -56
  List after swap: [-56, -48, 13, 22, 36, 91]

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

Final sorted list: [-56, -48, 13, 22, 36, 91]
</think>

<response>-56, -48, 13, 22, 36, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 86, 9, -31, 7, 95, 99, 82.

output:
<think>
Initial list: [86, 9, -31, 7, 95, 99, 82]

Pass 1:
  Compare 86 and 9
  Swap 86 and 9
  List after swap: [9, 86, -31, 7, 95, 99, 82]
  Compare 86 and -31
  Swap 86 and -31
  List after swap: [9, -31, 86, 7, 95, 99, 82]
  Compare 86 and 7
  Swap 86 and 7
  List after swap: [9, -31, 7, 86, 95, 99, 82]
  Compare 86 and 95
  No swap needed
  Compare 95 and 99
  No swap needed
  Compare 99 and 82
  Swap 99 and 82
  List after swap: [9, -31, 7, 86, 95, 82, 99]

Pass 2:
  Compare 9 and -31
  Swap 9 and -31
  List after swap: [-31, 9, 7, 86, 95, 82, 99]
  Compare 9 and 7
  Swap 9 and 7
  List after swap: [-31, 7, 9, 86, 95, 82, 99]
  Compare 9 and 86
  No swap needed
  Compare 86 and 95
  No swap needed
  Compare 95 and 82
  Swap 95 and 82
  List after swap: [-31, 7, 9, 86, 82, 95, 99]

Pass 3:
  Compare -31 and 7
  No swap needed
  Compare 7 and 9
  No swap needed
  Compare 9 and 86
  No swap needed
  Compare 86 and 82
  Swap 86 and 82
  List after swap: [-31, 7, 9, 82, 86, 95, 99]

Pass 4:
  Compare -31 and 7
  No swap needed
  Compare 7 and 9
  No swap needed
  Compare 9 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, 7, 9, 82, 86, 95, 99]
</think>

<response>-31, 7, 9, 82, 86, 95, 99</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -7, -16, -51, 7, -45, -2, 90.

output:
<think>
Initial list: [-7, -16, -51, 7, -45, -2, 90]

Pass 1:
  Compare -7 and -16
  Swap -7 and -16
  List after swap: [-16, -7, -51, 7, -45, -2, 90]
  Compare -7 and -51
  Swap -7 and -51
  List after swap: [-16, -51, -7, 7, -45, -2, 90]
  Compare -7 and 7
  No swap needed
  Compare 7 and -45
  Swap 7 and -45
  List after swap: [-16, -51, -7, -45, 7, -2, 90]
  Compare 7 and -2
  Swap 7 and -2
  List after swap: [-16, -51, -7, -45, -2, 7, 90]
  Compare 7 and 90
  No swap needed

Pass 2:
  Compare -16 and -51
  Swap -16 and -51
  List after swap: [-51, -16, -7, -45, -2, 7, 90]
  Compare -16 and -7
  No swap needed
  Compare -7 and -45
  Swap -7 and -45
  List after swap: [-51, -16, -45, -7, -2, 7, 90]
  Compare -7 and -2
  No swap needed
  Compare -2 and 7
  No swap needed

Pass 3:
  Compare -51 and -16
  No swap needed
  Compare -16 and -45
  Swap -16 and -45
  List after swap: [-51, -45, -16, -7, -2, 7, 90]
  Compare -16 and -7
  No swap needed
  Compare -7 and -2
  No swap needed

Pass 4:
  Compare -51 and -45
  No swap needed
  Compare -45 and -16
  No swap needed
  Compare -16 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -45, -16, -7, -2, 7, 90]
</think>

<response>-51, -45, -16, -7, -2, 7, 90</response>


input: Using the bubble sort method, sort 6, -35, -82, -41, 65, -21, 16, -61 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [6, -35, -82, -41, 65, -21, 16, -61]

Pass 1:
  Compare 6 and -35
  Swap 6 and -35
  List after swap: [-35, 6, -82, -41, 65, -21, 16, -61]
  Compare 6 and -82
  Swap 6 and -82
  List after swap: [-35, -82, 6, -41, 65, -21, 16, -61]
  Compare 6 and -41
  Swap 6 and -41
  List after swap: [-35, -82, -41, 6, 65, -21, 16, -61]
  Compare 6 and 65
  No swap needed
  Compare 65 and -21
  Swap 65 and -21
  List after swap: [-35, -82, -41, 6, -21, 65, 16, -61]
  Compare 65 and 16
  Swap 65 and 16
  List after swap: [-35, -82, -41, 6, -21, 16, 65, -61]
  Compare 65 and -61
  Swap 65 and -61
  List after swap: [-35, -82, -41, 6, -21, 16, -61, 65]

Pass 2:
  Compare -35 and -82
  Swap -35 and -82
  List after swap: [-82, -35, -41, 6, -21, 16, -61, 65]
  Compare -35 and -41
  Swap -35 and -41
  List after swap: [-82, -41, -35, 6, -21, 16, -61, 65]
  Compare -35 and 6
  No swap needed
  Compare 6 and -21
  Swap 6 and -21
  List after swap: [-82, -41, -35, -21, 6, 16, -61, 65]
  Compare 6 and 16
  No swap needed
  Compare 16 and -61
  Swap 16 and -61
  List after swap: [-82, -41, -35, -21, 6, -61, 16, 65]

Pass 3:
  Compare -82 and -41
  No swap needed
  Compare -41 and -35
  No swap needed
  Compare -35 and -21
  No swap needed
  Compare -21 and 6
  No swap needed
  Compare 6 and -61
  Swap 6 and -61
  List after swap: [-82, -41, -35, -21, -61, 6, 16, 65]

Pass 4:
  Compare -82 and -41
  No swap needed
  Compare -41 and -35
  No swap needed
  Compare -35 and -21
  No swap needed
  Compare -21 and -61
  Swap -21 and -61
  List after swap: [-82, -41, -35, -61, -21, 6, 16, 65]

Pass 5:
  Compare -82 and -41
  No swap needed
  Compare -41 and -35
  No swap needed
  Compare -35 and -61
  Swap -35 and -61
  List after swap: [-82, -41, -61, -35, -21, 6, 16, 65]

Pass 6:
  Compare -82 and -41
  No swap needed
  Compare -41 and -61
  Swap -41 and -61
  List after swap: [-82, -61, -41, -35, -21, 6, 16, 65]

Pass 7:
  Compare -82 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -61, -41, -35, -21, 6, 16, 65]
</think>

<response>-82, -61, -41, -35, -21, 6, 16, 65</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 31, 8, 1, -59, 61.

output:
<think>
Initial list: [31, 8, 1, -59, 61]

Pass 1:
  Compare 31 and 8
  Swap 31 and 8
  List after swap: [8, 31, 1, -59, 61]
  Compare 31 and 1
  Swap 31 and 1
  List after swap: [8, 1, 31, -59, 61]
  Compare 31 and -59
  Swap 31 and -59
  List after swap: [8, 1, -59, 31, 61]
  Compare 31 and 61
  No swap needed

Pass 2:
  Compare 8 and 1
  Swap 8 and 1
  List after swap: [1, 8, -59, 31, 61]
  Compare 8 and -59
  Swap 8 and -59
  List after swap: [1, -59, 8, 31, 61]
  Compare 8 and 31
  No swap needed

Pass 3:
  Compare 1 and -59
  Swap 1 and -59
  List after swap: [-59, 1, 8, 31, 61]
  Compare 1 and 8
  No swap needed

Pass 4:
  Compare -59 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, 1, 8, 31, 61]
</think>

<response>-59, 1, 8, 31, 61</response>


input: Arrange the numbers 43, 40, 87, -97, 47, 80, 45, 12, -81 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [43, 40, 87, -97, 47, 80, 45, 12, -81]

Pass 1:
  Compare 43 and 40
  Swap 43 and 40
  List after swap: [40, 43, 87, -97, 47, 80, 45, 12, -81]
  Compare 43 and 87
  No swap needed
  Compare 87 and -97
  Swap 87 and -97
  List after swap: [40, 43, -97, 87, 47, 80, 45, 12, -81]
  Compare 87 and 47
  Swap 87 and 47
  List after swap: [40, 43, -97, 47, 87, 80, 45, 12, -81]
  Compare 87 and 80
  Swap 87 and 80
  List after swap: [40, 43, -97, 47, 80, 87, 45, 12, -81]
  Compare 87 and 45
  Swap 87 and 45
  List after swap: [40, 43, -97, 47, 80, 45, 87, 12, -81]
  Compare 87 and 12
  Swap 87 and 12
  List after swap: [40, 43, -97, 47, 80, 45, 12, 87, -81]
  Compare 87 and -81
  Swap 87 and -81
  List after swap: [40, 43, -97, 47, 80, 45, 12, -81, 87]

Pass 2:
  Compare 40 and 43
  No swap needed
  Compare 43 and -97
  Swap 43 and -97
  List after swap: [40, -97, 43, 47, 80, 45, 12, -81, 87]
  Compare 43 and 47
  No swap needed
  Compare 47 and 80
  No swap needed
  Compare 80 and 45
  Swap 80 and 45
  List after swap: [40, -97, 43, 47, 45, 80, 12, -81, 87]
  Compare 80 and 12
  Swap 80 and 12
  List after swap: [40, -97, 43, 47, 45, 12, 80, -81, 87]
  Compare 80 and -81
  Swap 80 and -81
  List after swap: [40, -97, 43, 47, 45, 12, -81, 80, 87]

Pass 3:
  Compare 40 and -97
  Swap 40 and -97
  List after swap: [-97, 40, 43, 47, 45, 12, -81, 80, 87]
  Compare 40 and 43
  No swap needed
  Compare 43 and 47
  No swap needed
  Compare 47 and 45
  Swap 47 and 45
  List after swap: [-97, 40, 43, 45, 47, 12, -81, 80, 87]
  Compare 47 and 12
  Swap 47 and 12
  List after swap: [-97, 40, 43, 45, 12, 47, -81, 80, 87]
  Compare 47 and -81
  Swap 47 and -81
  List after swap: [-97, 40, 43, 45, 12, -81, 47, 80, 87]

Pass 4:
  Compare -97 and 40
  No swap needed
  Compare 40 and 43
  No swap needed
  Compare 43 and 45
  No swap needed
  Compare 45 and 12
  Swap 45 and 12
  List after swap: [-97, 40, 43, 12, 45, -81, 47, 80, 87]
  Compare 45 and -81
  Swap 45 and -81
  List after swap: [-97, 40, 43, 12, -81, 45, 47, 80, 87]

Pass 5:
  Compare -97 and 40
  No swap needed
  Compare 40 and 43
  No swap needed
  Compare 43 and 12
  Swap 43 and 12
  List after swap: [-97, 40, 12, 43, -81, 45, 47, 80, 87]
  Compare 43 and -81
  Swap 43 and -81
  List after swap: [-97, 40, 12, -81, 43, 45, 47, 80, 87]

Pass 6:
  Compare -97 and 40
  No swap needed
  Compare 40 and 12
  Swap 40 and 12
  List after swap: [-97, 12, 40, -81, 43, 45, 47, 80, 87]
  Compare 40 and -81
  Swap 40 and -81
  List after swap: [-97, 12, -81, 40, 43, 45, 47, 80, 87]

Pass 7:
  Compare -97 and 12
  No swap needed
  Compare 12 and -81
  Swap 12 and -81
  List after swap: [-97, -81, 12, 40, 43, 45, 47, 80, 87]

Pass 8:
  Compare -97 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -81, 12, 40, 43, 45, 47, 80, 87]
</think>

<response>-97, -81, 12, 40, 43, 45, 47, 80, 87</response>


input: Execute bubble sort to sort -66, 69, -7, -43, 39, -39, -50, -76, 22 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-66, 69, -7, -43, 39, -39, -50, -76, 22]

Pass 1:
  Compare -66 and 69
  No swap needed
  Compare 69 and -7
  Swap 69 and -7
  List after swap: [-66, -7, 69, -43, 39, -39, -50, -76, 22]
  Compare 69 and -43
  Swap 69 and -43
  List after swap: [-66, -7, -43, 69, 39, -39, -50, -76, 22]
  Compare 69 and 39
  Swap 69 and 39
  List after swap: [-66, -7, -43, 39, 69, -39, -50, -76, 22]
  Compare 69 and -39
  Swap 69 and -39
  List after swap: [-66, -7, -43, 39, -39, 69, -50, -76, 22]
  Compare 69 and -50
  Swap 69 and -50
  List after swap: [-66, -7, -43, 39, -39, -50, 69, -76, 22]
  Compare 69 and -76
  Swap 69 and -76
  List after swap: [-66, -7, -43, 39, -39, -50, -76, 69, 22]
  Compare 69 and 22
  Swap 69 and 22
  List after swap: [-66, -7, -43, 39, -39, -50, -76, 22, 69]

Pass 2:
  Compare -66 and -7
  No swap needed
  Compare -7 and -43
  Swap -7 and -43
  List after swap: [-66, -43, -7, 39, -39, -50, -76, 22, 69]
  Compare -7 and 39
  No swap needed
  Compare 39 and -39
  Swap 39 and -39
  List after swap: [-66, -43, -7, -39, 39, -50, -76, 22, 69]
  Compare 39 and -50
  Swap 39 and -50
  List after swap: [-66, -43, -7, -39, -50, 39, -76, 22, 69]
  Compare 39 and -76
  Swap 39 and -76
  List after swap: [-66, -43, -7, -39, -50, -76, 39, 22, 69]
  Compare 39 and 22
  Swap 39 and 22
  List after swap: [-66, -43, -7, -39, -50, -76, 22, 39, 69]

Pass 3:
  Compare -66 and -43
  No swap needed
  Compare -43 and -7
  No swap needed
  Compare -7 and -39
  Swap -7 and -39
  List after swap: [-66, -43, -39, -7, -50, -76, 22, 39, 69]
  Compare -7 and -50
  Swap -7 and -50
  List after swap: [-66, -43, -39, -50, -7, -76, 22, 39, 69]
  Compare -7 and -76
  Swap -7 and -76
  List after swap: [-66, -43, -39, -50, -76, -7, 22, 39, 69]
  Compare -7 and 22
  No swap needed

Pass 4:
  Compare -66 and -43
  No swap needed
  Compare -43 and -39
  No swap needed
  Compare -39 and -50
  Swap -39 and -50
  List after swap: [-66, -43, -50, -39, -76, -7, 22, 39, 69]
  Compare -39 and -76
  Swap -39 and -76
  List after swap: [-66, -43, -50, -76, -39, -7, 22, 39, 69]
  Compare -39 and -7
  No swap needed

Pass 5:
  Compare -66 and -43
  No swap needed
  Compare -43 and -50
  Swap -43 and -50
  List after swap: [-66, -50, -43, -76, -39, -7, 22, 39, 69]
  Compare -43 and -76
  Swap -43 and -76
  List after swap: [-66, -50, -76, -43, -39, -7, 22, 39, 69]
  Compare -43 and -39
  No swap needed

Pass 6:
  Compare -66 and -50
  No swap needed
  Compare -50 and -76
  Swap -50 and -76
  List after swap: [-66, -76, -50, -43, -39, -7, 22, 39, 69]
  Compare -50 and -43
  No swap needed

Pass 7:
  Compare -66 and -76
  Swap -66 and -76
  List after swap: [-76, -66, -50, -43, -39, -7, 22, 39, 69]
  Compare -66 and -50
  No swap needed

Pass 8:
  Compare -76 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -66, -50, -43, -39, -7, 22, 39, 69]
</think>

<response>-76, -66, -50, -43, -39, -7, 22, 39, 69</response>


input: Carry out the bubble sort algorithm on -56, -48, -15 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-56, -48, -15]

Pass 1:
  Compare -56 and -48
  No swap needed
  Compare -48 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -48, -15]
</think>

<response>-56, -48, -15</response>


input: Execute bubble sort to sort -92, 90, 86 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-92, 90, 86]

Pass 1:
  Compare -92 and 90
  No swap needed
  Compare 90 and 86
  Swap 90 and 86
  List after swap: [-92, 86, 90]

Pass 2:
  Compare -92 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 86, 90]
</think>

<response>-92, 86, 90</response>


input: Use the bubble sort technique to reorder 78, -26 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [78, -26]

Pass 1:
  Compare 78 and -26
  Swap 78 and -26
  List after swap: [-26, 78]

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

Final sorted list: [-26, 78]
</think>

<response>-26, 78</response>


input: Perform a bubble sort on the integers 50, 6, -50, 25, -61, -79, -55, -30, 47, -82, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [50, 6, -50, 25, -61, -79, -55, -30, 47, -82]

Pass 1:
  Compare 50 and 6
  Swap 50 and 6
  List after swap: [6, 50, -50, 25, -61, -79, -55, -30, 47, -82]
  Compare 50 and -50
  Swap 50 and -50
  List after swap: [6, -50, 50, 25, -61, -79, -55, -30, 47, -82]
  Compare 50 and 25
  Swap 50 and 25
  List after swap: [6, -50, 25, 50, -61, -79, -55, -30, 47, -82]
  Compare 50 and -61
  Swap 50 and -61
  List after swap: [6, -50, 25, -61, 50, -79, -55, -30, 47, -82]
  Compare 50 and -79
  Swap 50 and -79
  List after swap: [6, -50, 25, -61, -79, 50, -55, -30, 47, -82]
  Compare 50 and -55
  Swap 50 and -55
  List after swap: [6, -50, 25, -61, -79, -55, 50, -30, 47, -82]
  Compare 50 and -30
  Swap 50 and -30
  List after swap: [6, -50, 25, -61, -79, -55, -30, 50, 47, -82]
  Compare 50 and 47
  Swap 50 and 47
  List after swap: [6, -50, 25, -61, -79, -55, -30, 47, 50, -82]
  Compare 50 and -82
  Swap 50 and -82
  List after swap: [6, -50, 25, -61, -79, -55, -30, 47, -82, 50]

Pass 2:
  Compare 6 and -50
  Swap 6 and -50
  List after swap: [-50, 6, 25, -61, -79, -55, -30, 47, -82, 50]
  Compare 6 and 25
  No swap needed
  Compare 25 and -61
  Swap 25 and -61
  List after swap: [-50, 6, -61, 25, -79, -55, -30, 47, -82, 50]
  Compare 25 and -79
  Swap 25 and -79
  List after swap: [-50, 6, -61, -79, 25, -55, -30, 47, -82, 50]
  Compare 25 and -55
  Swap 25 and -55
  List after swap: [-50, 6, -61, -79, -55, 25, -30, 47, -82, 50]
  Compare 25 and -30
  Swap 25 and -30
  List after swap: [-50, 6, -61, -79, -55, -30, 25, 47, -82, 50]
  Compare 25 and 47
  No swap needed
  Compare 47 and -82
  Swap 47 and -82
  List after swap: [-50, 6, -61, -79, -55, -30, 25, -82, 47, 50]

Pass 3:
  Compare -50 and 6
  No swap needed
  Compare 6 and -61
  Swap 6 and -61
  List after swap: [-50, -61, 6, -79, -55, -30, 25, -82, 47, 50]
  Compare 6 and -79
  Swap 6 and -79
  List after swap: [-50, -61, -79, 6, -55, -30, 25, -82, 47, 50]
  Compare 6 and -55
  Swap 6 and -55
  List after swap: [-50, -61, -79, -55, 6, -30, 25, -82, 47, 50]
  Compare 6 and -30
  Swap 6 and -30
  List after swap: [-50, -61, -79, -55, -30, 6, 25, -82, 47, 50]
  Compare 6 and 25
  No swap needed
  Compare 25 and -82
  Swap 25 and -82
  List after swap: [-50, -61, -79, -55, -30, 6, -82, 25, 47, 50]

Pass 4:
  Compare -50 and -61
  Swap -50 and -61
  List after swap: [-61, -50, -79, -55, -30, 6, -82, 25, 47, 50]
  Compare -50 and -79
  Swap -50 and -79
  List after swap: [-61, -79, -50, -55, -30, 6, -82, 25, 47, 50]
  Compare -50 and -55
  Swap -50 and -55
  List after swap: [-61, -79, -55, -50, -30, 6, -82, 25, 47, 50]
  Compare -50 and -30
  No swap needed
  Compare -30 and 6
  No swap needed
  Compare 6 and -82
  Swap 6 and -82
  List after swap: [-61, -79, -55, -50, -30, -82, 6, 25, 47, 50]

Pass 5:
  Compare -61 and -79
  Swap -61 and -79
  List after swap: [-79, -61, -55, -50, -30, -82, 6, 25, 47, 50]
  Compare -61 and -55
  No swap needed
  Compare -55 and -50
  No swap needed
  Compare -50 and -30
  No swap needed
  Compare -30 and -82
  Swap -30 and -82
  List after swap: [-79, -61, -55, -50, -82, -30, 6, 25, 47, 50]

Pass 6:
  Compare -79 and -61
  No swap needed
  Compare -61 and -55
  No swap needed
  Compare -55 and -50
  No swap needed
  Compare -50 and -82
  Swap -50 and -82
  List after swap: [-79, -61, -55, -82, -50, -30, 6, 25, 47, 50]

Pass 7:
  Compare -79 and -61
  No swap needed
  Compare -61 and -55
  No swap needed
  Compare -55 and -82
  Swap -55 and -82
  List after swap: [-79, -61, -82, -55, -50, -30, 6, 25, 47, 50]

Pass 8:
  Compare -79 and -61
  No swap needed
  Compare -61 and -82
  Swap -61 and -82
  List after swap: [-79, -82, -61, -55, -50, -30, 6, 25, 47, 50]

Pass 9:
  Compare -79 and -82
  Swap -79 and -82
  List after swap: [-82, -79, -61, -55, -50, -30, 6, 25, 47, 50]

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

Final sorted list: [-82, -79, -61, -55, -50, -30, 6, 25, 47, 50]
</think>

<response>-82, -79, -61, -55, -50, -30, 6, 25, 47, 50</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 23, 86, 52, 77, -96, 1, 76.

output:
<think>
Initial list: [23, 86, 52, 77, -96, 1, 76]

Pass 1:
  Compare 23 and 86
  No swap needed
  Compare 86 and 52
  Swap 86 and 52
  List after swap: [23, 52, 86, 77, -96, 1, 76]
  Compare 86 and 77
  Swap 86 and 77
  List after swap: [23, 52, 77, 86, -96, 1, 76]
  Compare 86 and -96
  Swap 86 and -96
  List after swap: [23, 52, 77, -96, 86, 1, 76]
  Compare 86 and 1
  Swap 86 and 1
  List after swap: [23, 52, 77, -96, 1, 86, 76]
  Compare 86 and 76
  Swap 86 and 76
  List after swap: [23, 52, 77, -96, 1, 76, 86]

Pass 2:
  Compare 23 and 52
  No swap needed
  Compare 52 and 77
  No swap needed
  Compare 77 and -96
  Swap 77 and -96
  List after swap: [23, 52, -96, 77, 1, 76, 86]
  Compare 77 and 1
  Swap 77 and 1
  List after swap: [23, 52, -96, 1, 77, 76, 86]
  Compare 77 and 76
  Swap 77 and 76
  List after swap: [23, 52, -96, 1, 76, 77, 86]

Pass 3:
  Compare 23 and 52
  No swap needed
  Compare 52 and -96
  Swap 52 and -96
  List after swap: [23, -96, 52, 1, 76, 77, 86]
  Compare 52 and 1
  Swap 52 and 1
  List after swap: [23, -96, 1, 52, 76, 77, 86]
  Compare 52 and 76
  No swap needed

Pass 4:
  Compare 23 and -96
  Swap 23 and -96
  List after swap: [-96, 23, 1, 52, 76, 77, 86]
  Compare 23 and 1
  Swap 23 and 1
  List after swap: [-96, 1, 23, 52, 76, 77, 86]
  Compare 23 and 52
  No swap needed

Pass 5:
  Compare -96 and 1
  No swap needed
  Compare 1 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, 1, 23, 52, 76, 77, 86]
</think>

<response>-96, 1, 23, 52, 76, 77, 86</response>


input: Carry out the bubble sort algorithm on -20, -39, -49, -38, -61, -15 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-20, -39, -49, -38, -61, -15]

Pass 1:
  Compare -20 and -39
  Swap -20 and -39
  List after swap: [-39, -20, -49, -38, -61, -15]
  Compare -20 and -49
  Swap -20 and -49
  List after swap: [-39, -49, -20, -38, -61, -15]
  Compare -20 and -38
  Swap -20 and -38
  List after swap: [-39, -49, -38, -20, -61, -15]
  Compare -20 and -61
  Swap -20 and -61
  List after swap: [-39, -49, -38, -61, -20, -15]
  Compare -20 and -15
  No swap needed

Pass 2:
  Compare -39 and -49
  Swap -39 and -49
  List after swap: [-49, -39, -38, -61, -20, -15]
  Compare -39 and -38
  No swap needed
  Compare -38 and -61
  Swap -38 and -61
  List after swap: [-49, -39, -61, -38, -20, -15]
  Compare -38 and -20
  No swap needed

Pass 3:
  Compare -49 and -39
  No swap needed
  Compare -39 and -61
  Swap -39 and -61
  List after swap: [-49, -61, -39, -38, -20, -15]
  Compare -39 and -38
  No swap needed

Pass 4:
  Compare -49 and -61
  Swap -49 and -61
  List after swap: [-61, -49, -39, -38, -20, -15]
  Compare -49 and -39
  No swap needed

Pass 5:
  Compare -61 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -49, -39, -38, -20, -15]
</think>

<response>-61, -49, -39, -38, -20, -15</response>


input: Carry out the bubble sort algorithm on 16, 48, 20, -78, 10, -96, 13, -72 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [16, 48, 20, -78, 10, -96, 13, -72]

Pass 1:
  Compare 16 and 48
  No swap needed
  Compare 48 and 20
  Swap 48 and 20
  List after swap: [16, 20, 48, -78, 10, -96, 13, -72]
  Compare 48 and -78
  Swap 48 and -78
  List after swap: [16, 20, -78, 48, 10, -96, 13, -72]
  Compare 48 and 10
  Swap 48 and 10
  List after swap: [16, 20, -78, 10, 48, -96, 13, -72]
  Compare 48 and -96
  Swap 48 and -96
  List after swap: [16, 20, -78, 10, -96, 48, 13, -72]
  Compare 48 and 13
  Swap 48 and 13
  List after swap: [16, 20, -78, 10, -96, 13, 48, -72]
  Compare 48 and -72
  Swap 48 and -72
  List after swap: [16, 20, -78, 10, -96, 13, -72, 48]

Pass 2:
  Compare 16 and 20
  No swap needed
  Compare 20 and -78
  Swap 20 and -78
  List after swap: [16, -78, 20, 10, -96, 13, -72, 48]
  Compare 20 and 10
  Swap 20 and 10
  List after swap: [16, -78, 10, 20, -96, 13, -72, 48]
  Compare 20 and -96
  Swap 20 and -96
  List after swap: [16, -78, 10, -96, 20, 13, -72, 48]
  Compare 20 and 13
  Swap 20 and 13
  List after swap: [16, -78, 10, -96, 13, 20, -72, 48]
  Compare 20 and -72
  Swap 20 and -72
  List after swap: [16, -78, 10, -96, 13, -72, 20, 48]

Pass 3:
  Compare 16 and -78
  Swap 16 and -78
  List after swap: [-78, 16, 10, -96, 13, -72, 20, 48]
  Compare 16 and 10
  Swap 16 and 10
  List after swap: [-78, 10, 16, -96, 13, -72, 20, 48]
  Compare 16 and -96
  Swap 16 and -96
  List after swap: [-78, 10, -96, 16, 13, -72, 20, 48]
  Compare 16 and 13
  Swap 16 and 13
  List after swap: [-78, 10, -96, 13, 16, -72, 20, 48]
  Compare 16 and -72
  Swap 16 and -72
  List after swap: [-78, 10, -96, 13, -72, 16, 20, 48]

Pass 4:
  Compare -78 and 10
  No swap needed
  Compare 10 and -96
  Swap 10 and -96
  List after swap: [-78, -96, 10, 13, -72, 16, 20, 48]
  Compare 10 and 13
  No swap needed
  Compare 13 and -72
  Swap 13 and -72
  List after swap: [-78, -96, 10, -72, 13, 16, 20, 48]

Pass 5:
  Compare -78 and -96
  Swap -78 and -96
  List after swap: [-96, -78, 10, -72, 13, 16, 20, 48]
  Compare -78 and 10
  No swap needed
  Compare 10 and -72
  Swap 10 and -72
  List after swap: [-96, -78, -72, 10, 13, 16, 20, 48]

Pass 6:
  Compare -96 and -78
  No swap needed
  Compare -78 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -78, -72, 10, 13, 16, 20, 48]
</think>

<response>-96, -78, -72, 10, 13, 16, 20, 48</response>


input: Use the bubble sort technique to reorder 39, -97, 89, -15 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [39, -97, 89, -15]

Pass 1:
  Compare 39 and -97
  Swap 39 and -97
  List after swap: [-97, 39, 89, -15]
  Compare 39 and 89
  No swap needed
  Compare 89 and -15
  Swap 89 and -15
  List after swap: [-97, 39, -15, 89]

Pass 2:
  Compare -97 and 39
  No swap needed
  Compare 39 and -15
  Swap 39 and -15
  List after swap: [-97, -15, 39, 89]

Pass 3:
  Compare -97 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -15, 39, 89]
</think>

<response>-97, -15, 39, 89</response>


input: Use the bubble sort technique to reorder -100, -4, -67, -14, -75, 3, 67, 58, -8 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-100, -4, -67, -14, -75, 3, 67, 58, -8]

Pass 1:
  Compare -100 and -4
  No swap needed
  Compare -4 and -67
  Swap -4 and -67
  List after swap: [-100, -67, -4, -14, -75, 3, 67, 58, -8]
  Compare -4 and -14
  Swap -4 and -14
  List after swap: [-100, -67, -14, -4, -75, 3, 67, 58, -8]
  Compare -4 and -75
  Swap -4 and -75
  List after swap: [-100, -67, -14, -75, -4, 3, 67, 58, -8]
  Compare -4 and 3
  No swap needed
  Compare 3 and 67
  No swap needed
  Compare 67 and 58
  Swap 67 and 58
  List after swap: [-100, -67, -14, -75, -4, 3, 58, 67, -8]
  Compare 67 and -8
  Swap 67 and -8
  List after swap: [-100, -67, -14, -75, -4, 3, 58, -8, 67]

Pass 2:
  Compare -100 and -67
  No swap needed
  Compare -67 and -14
  No swap needed
  Compare -14 and -75
  Swap -14 and -75
  List after swap: [-100, -67, -75, -14, -4, 3, 58, -8, 67]
  Compare -14 and -4
  No swap needed
  Compare -4 and 3
  No swap needed
  Compare 3 and 58
  No swap needed
  Compare 58 and -8
  Swap 58 and -8
  List after swap: [-100, -67, -75, -14, -4, 3, -8, 58, 67]

Pass 3:
  Compare -100 and -67
  No swap needed
  Compare -67 and -75
  Swap -67 and -75
  List after swap: [-100, -75, -67, -14, -4, 3, -8, 58, 67]
  Compare -67 and -14
  No swap needed
  Compare -14 and -4
  No swap needed
  Compare -4 and 3
  No swap needed
  Compare 3 and -8
  Swap 3 and -8
  List after swap: [-100, -75, -67, -14, -4, -8, 3, 58, 67]

Pass 4:
  Compare -100 and -75
  No swap needed
  Compare -75 and -67
  No swap needed
  Compare -67 and -14
  No swap needed
  Compare -14 and -4
  No swap needed
  Compare -4 and -8
  Swap -4 and -8
  List after swap: [-100, -75, -67, -14, -8, -4, 3, 58, 67]

Pass 5:
  Compare -100 and -75
  No swap needed
  Compare -75 and -67
  No swap needed
  Compare -67 and -14
  No swap needed
  Compare -14 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -75, -67, -14, -8, -4, 3, 58, 67]
</think>

<response>-100, -75, -67, -14, -8, -4, 3, 58, 67</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 7, 23, 61.

output:
<think>
Initial list: [7, 23, 61]

Pass 1:
  Compare 7 and 23
  No swap needed
  Compare 23 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [7, 23, 61]
</think>

<response>7, 23, 61</response>


input: Demonstrate how bubble sort orders the integers -19, -99, 38, 89, -17, -10, 48, -24, -13, -42 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-19, -99, 38, 89, -17, -10, 48, -24, -13, -42]

Pass 1:
  Compare -19 and -99
  Swap -19 and -99
  List after swap: [-99, -19, 38, 89, -17, -10, 48, -24, -13, -42]
  Compare -19 and 38
  No swap needed
  Compare 38 and 89
  No swap needed
  Compare 89 and -17
  Swap 89 and -17
  List after swap: [-99, -19, 38, -17, 89, -10, 48, -24, -13, -42]
  Compare 89 and -10
  Swap 89 and -10
  List after swap: [-99, -19, 38, -17, -10, 89, 48, -24, -13, -42]
  Compare 89 and 48
  Swap 89 and 48
  List after swap: [-99, -19, 38, -17, -10, 48, 89, -24, -13, -42]
  Compare 89 and -24
  Swap 89 and -24
  List after swap: [-99, -19, 38, -17, -10, 48, -24, 89, -13, -42]
  Compare 89 and -13
  Swap 89 and -13
  List after swap: [-99, -19, 38, -17, -10, 48, -24, -13, 89, -42]
  Compare 89 and -42
  Swap 89 and -42
  List after swap: [-99, -19, 38, -17, -10, 48, -24, -13, -42, 89]

Pass 2:
  Compare -99 and -19
  No swap needed
  Compare -19 and 38
  No swap needed
  Compare 38 and -17
  Swap 38 and -17
  List after swap: [-99, -19, -17, 38, -10, 48, -24, -13, -42, 89]
  Compare 38 and -10
  Swap 38 and -10
  List after swap: [-99, -19, -17, -10, 38, 48, -24, -13, -42, 89]
  Compare 38 and 48
  No swap needed
  Compare 48 and -24
  Swap 48 and -24
  List after swap: [-99, -19, -17, -10, 38, -24, 48, -13, -42, 89]
  Compare 48 and -13
  Swap 48 and -13
  List after swap: [-99, -19, -17, -10, 38, -24, -13, 48, -42, 89]
  Compare 48 and -42
  Swap 48 and -42
  List after swap: [-99, -19, -17, -10, 38, -24, -13, -42, 48, 89]

Pass 3:
  Compare -99 and -19
  No swap needed
  Compare -19 and -17
  No swap needed
  Compare -17 and -10
  No swap needed
  Compare -10 and 38
  No swap needed
  Compare 38 and -24
  Swap 38 and -24
  List after swap: [-99, -19, -17, -10, -24, 38, -13, -42, 48, 89]
  Compare 38 and -13
  Swap 38 and -13
  List after swap: [-99, -19, -17, -10, -24, -13, 38, -42, 48, 89]
  Compare 38 and -42
  Swap 38 and -42
  List after swap: [-99, -19, -17, -10, -24, -13, -42, 38, 48, 89]

Pass 4:
  Compare -99 and -19
  No swap needed
  Compare -19 and -17
  No swap needed
  Compare -17 and -10
  No swap needed
  Compare -10 and -24
  Swap -10 and -24
  List after swap: [-99, -19, -17, -24, -10, -13, -42, 38, 48, 89]
  Compare -10 and -13
  Swap -10 and -13
  List after swap: [-99, -19, -17, -24, -13, -10, -42, 38, 48, 89]
  Compare -10 and -42
  Swap -10 and -42
  List after swap: [-99, -19, -17, -24, -13, -42, -10, 38, 48, 89]

Pass 5:
  Compare -99 and -19
  No swap needed
  Compare -19 and -17
  No swap needed
  Compare -17 and -24
  Swap -17 and -24
  List after swap: [-99, -19, -24, -17, -13, -42, -10, 38, 48, 89]
  Compare -17 and -13
  No swap needed
  Compare -13 and -42
  Swap -13 and -42
  List after swap: [-99, -19, -24, -17, -42, -13, -10, 38, 48, 89]

Pass 6:
  Compare -99 and -19
  No swap needed
  Compare -19 and -24
  Swap -19 and -24
  List after swap: [-99, -24, -19, -17, -42, -13, -10, 38, 48, 89]
  Compare -19 and -17
  No swap needed
  Compare -17 and -42
  Swap -17 and -42
  List after swap: [-99, -24, -19, -42, -17, -13, -10, 38, 48, 89]

Pass 7:
  Compare -99 and -24
  No swap needed
  Compare -24 and -19
  No swap needed
  Compare -19 and -42
  Swap -19 and -42
  List after swap: [-99, -24, -42, -19, -17, -13, -10, 38, 48, 89]

Pass 8:
  Compare -99 and -24
  No swap needed
  Compare -24 and -42
  Swap -24 and -42
  List after swap: [-99, -42, -24, -19, -17, -13, -10, 38, 48, 89]

Pass 9:
  Compare -99 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -42, -24, -19, -17, -13, -10, 38, 48, 89]
</think>

<response>-99, -42, -24, -19, -17, -13, -10, 38, 48, 89</response>


input: Implement bubble sort on 83, -10, 99, 37 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [83, -10, 99, 37]

Pass 1:
  Compare 83 and -10
  Swap 83 and -10
  List after swap: [-10, 83, 99, 37]
  Compare 83 and 99
  No swap needed
  Compare 99 and 37
  Swap 99 and 37
  List after swap: [-10, 83, 37, 99]

Pass 2:
  Compare -10 and 83
  No swap needed
  Compare 83 and 37
  Swap 83 and 37
  List after swap: [-10, 37, 83, 99]

Pass 3:
  Compare -10 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-10, 37, 83, 99]
</think>

<response>-10, 37, 83, 99</response>


input: Carry out the bubble sort algorithm on -6, -62, -90, -1, 17, -3, -78, 54, -96 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-6, -62, -90, -1, 17, -3, -78, 54, -96]

Pass 1:
  Compare -6 and -62
  Swap -6 and -62
  List after swap: [-62, -6, -90, -1, 17, -3, -78, 54, -96]
  Compare -6 and -90
  Swap -6 and -90
  List after swap: [-62, -90, -6, -1, 17, -3, -78, 54, -96]
  Compare -6 and -1
  No swap needed
  Compare -1 and 17
  No swap needed
  Compare 17 and -3
  Swap 17 and -3
  List after swap: [-62, -90, -6, -1, -3, 17, -78, 54, -96]
  Compare 17 and -78
  Swap 17 and -78
  List after swap: [-62, -90, -6, -1, -3, -78, 17, 54, -96]
  Compare 17 and 54
  No swap needed
  Compare 54 and -96
  Swap 54 and -96
  List after swap: [-62, -90, -6, -1, -3, -78, 17, -96, 54]

Pass 2:
  Compare -62 and -90
  Swap -62 and -90
  List after swap: [-90, -62, -6, -1, -3, -78, 17, -96, 54]
  Compare -62 and -6
  No swap needed
  Compare -6 and -1
  No swap needed
  Compare -1 and -3
  Swap -1 and -3
  List after swap: [-90, -62, -6, -3, -1, -78, 17, -96, 54]
  Compare -1 and -78
  Swap -1 and -78
  List after swap: [-90, -62, -6, -3, -78, -1, 17, -96, 54]
  Compare -1 and 17
  No swap needed
  Compare 17 and -96
  Swap 17 and -96
  List after swap: [-90, -62, -6, -3, -78, -1, -96, 17, 54]

Pass 3:
  Compare -90 and -62
  No swap needed
  Compare -62 and -6
  No swap needed
  Compare -6 and -3
  No swap needed
  Compare -3 and -78
  Swap -3 and -78
  List after swap: [-90, -62, -6, -78, -3, -1, -96, 17, 54]
  Compare -3 and -1
  No swap needed
  Compare -1 and -96
  Swap -1 and -96
  List after swap: [-90, -62, -6, -78, -3, -96, -1, 17, 54]

Pass 4:
  Compare -90 and -62
  No swap needed
  Compare -62 and -6
  No swap needed
  Compare -6 and -78
  Swap -6 and -78
  List after swap: [-90, -62, -78, -6, -3, -96, -1, 17, 54]
  Compare -6 and -3
  No swap needed
  Compare -3 and -96
  Swap -3 and -96
  List after swap: [-90, -62, -78, -6, -96, -3, -1, 17, 54]

Pass 5:
  Compare -90 and -62
  No swap needed
  Compare -62 and -78
  Swap -62 and -78
  List after swap: [-90, -78, -62, -6, -96, -3, -1, 17, 54]
  Compare -62 and -6
  No swap needed
  Compare -6 and -96
  Swap -6 and -96
  List after swap: [-90, -78, -62, -96, -6, -3, -1, 17, 54]

Pass 6:
  Compare -90 and -78
  No swap needed
  Compare -78 and -62
  No swap needed
  Compare -62 and -96
  Swap -62 and -96
  List after swap: [-90, -78, -96, -62, -6, -3, -1, 17, 54]

Pass 7:
  Compare -90 and -78
  No swap needed
  Compare -78 and -96
  Swap -78 and -96
  List after swap: [-90, -96, -78, -62, -6, -3, -1, 17, 54]

Pass 8:
  Compare -90 and -96
  Swap -90 and -96
  List after swap: [-96, -90, -78, -62, -6, -3, -1, 17, 54]

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

Final sorted list: [-96, -90, -78, -62, -6, -3, -1, 17, 54]
</think>

<response>-96, -90, -78, -62, -6, -3, -1, 17, 54</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 26, 42, -33, -76, 63.

output:
<think>
Initial list: [26, 42, -33, -76, 63]

Pass 1:
  Compare 26 and 42
  No swap needed
  Compare 42 and -33
  Swap 42 and -33
  List after swap: [26, -33, 42, -76, 63]
  Compare 42 and -76
  Swap 42 and -76
  List after swap: [26, -33, -76, 42, 63]
  Compare 42 and 63
  No swap needed

Pass 2:
  Compare 26 and -33
  Swap 26 and -33
  List after swap: [-33, 26, -76, 42, 63]
  Compare 26 and -76
  Swap 26 and -76
  List after swap: [-33, -76, 26, 42, 63]
  Compare 26 and 42
  No swap needed

Pass 3:
  Compare -33 and -76
  Swap -33 and -76
  List after swap: [-76, -33, 26, 42, 63]
  Compare -33 and 26
  No swap needed

Pass 4:
  Compare -76 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -33, 26, 42, 63]
</think>

<response>-76, -33, 26, 42, 63</response>


input: Implement bubble sort on -55, 62, -4, -84, 53, 15, 84, -34, -32 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-55, 62, -4, -84, 53, 15, 84, -34, -32]

Pass 1:
  Compare -55 and 62
  No swap needed
  Compare 62 and -4
  Swap 62 and -4
  List after swap: [-55, -4, 62, -84, 53, 15, 84, -34, -32]
  Compare 62 and -84
  Swap 62 and -84
  List after swap: [-55, -4, -84, 62, 53, 15, 84, -34, -32]
  Compare 62 and 53
  Swap 62 and 53
  List after swap: [-55, -4, -84, 53, 62, 15, 84, -34, -32]
  Compare 62 and 15
  Swap 62 and 15
  List after swap: [-55, -4, -84, 53, 15, 62, 84, -34, -32]
  Compare 62 and 84
  No swap needed
  Compare 84 and -34
  Swap 84 and -34
  List after swap: [-55, -4, -84, 53, 15, 62, -34, 84, -32]
  Compare 84 and -32
  Swap 84 and -32
  List after swap: [-55, -4, -84, 53, 15, 62, -34, -32, 84]

Pass 2:
  Compare -55 and -4
  No swap needed
  Compare -4 and -84
  Swap -4 and -84
  List after swap: [-55, -84, -4, 53, 15, 62, -34, -32, 84]
  Compare -4 and 53
  No swap needed
  Compare 53 and 15
  Swap 53 and 15
  List after swap: [-55, -84, -4, 15, 53, 62, -34, -32, 84]
  Compare 53 and 62
  No swap needed
  Compare 62 and -34
  Swap 62 and -34
  List after swap: [-55, -84, -4, 15, 53, -34, 62, -32, 84]
  Compare 62 and -32
  Swap 62 and -32
  List after swap: [-55, -84, -4, 15, 53, -34, -32, 62, 84]

Pass 3:
  Compare -55 and -84
  Swap -55 and -84
  List after swap: [-84, -55, -4, 15, 53, -34, -32, 62, 84]
  Compare -55 and -4
  No swap needed
  Compare -4 and 15
  No swap needed
  Compare 15 and 53
  No swap needed
  Compare 53 and -34
  Swap 53 and -34
  List after swap: [-84, -55, -4, 15, -34, 53, -32, 62, 84]
  Compare 53 and -32
  Swap 53 and -32
  List after swap: [-84, -55, -4, 15, -34, -32, 53, 62, 84]

Pass 4:
  Compare -84 and -55
  No swap needed
  Compare -55 and -4
  No swap needed
  Compare -4 and 15
  No swap needed
  Compare 15 and -34
  Swap 15 and -34
  List after swap: [-84, -55, -4, -34, 15, -32, 53, 62, 84]
  Compare 15 and -32
  Swap 15 and -32
  List after swap: [-84, -55, -4, -34, -32, 15, 53, 62, 84]

Pass 5:
  Compare -84 and -55
  No swap needed
  Compare -55 and -4
  No swap needed
  Compare -4 and -34
  Swap -4 and -34
  List after swap: [-84, -55, -34, -4, -32, 15, 53, 62, 84]
  Compare -4 and -32
  Swap -4 and -32
  List after swap: [-84, -55, -34, -32, -4, 15, 53, 62, 84]

Pass 6:
  Compare -84 and -55
  No swap needed
  Compare -55 and -34
  No swap needed
  Compare -34 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -55, -34, -32, -4, 15, 53, 62, 84]
</think>

<response>-84, -55, -34, -32, -4, 15, 53, 62, 84</response>


input: Execute bubble sort to sort 16, 77, -13, -21, -32, -54 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [16, 77, -13, -21, -32, -54]

Pass 1:
  Compare 16 and 77
  No swap needed
  Compare 77 and -13
  Swap 77 and -13
  List after swap: [16, -13, 77, -21, -32, -54]
  Compare 77 and -21
  Swap 77 and -21
  List after swap: [16, -13, -21, 77, -32, -54]
  Compare 77 and -32
  Swap 77 and -32
  List after swap: [16, -13, -21, -32, 77, -54]
  Compare 77 and -54
  Swap 77 and -54
  List after swap: [16, -13, -21, -32, -54, 77]

Pass 2:
  Compare 16 and -13
  Swap 16 and -13
  List after swap: [-13, 16, -21, -32, -54, 77]
  Compare 16 and -21
  Swap 16 and -21
  List after swap: [-13, -21, 16, -32, -54, 77]
  Compare 16 and -32
  Swap 16 and -32
  List after swap: [-13, -21, -32, 16, -54, 77]
  Compare 16 and -54
  Swap 16 and -54
  List after swap: [-13, -21, -32, -54, 16, 77]

Pass 3:
  Compare -13 and -21
  Swap -13 and -21
  List after swap: [-21, -13, -32, -54, 16, 77]
  Compare -13 and -32
  Swap -13 and -32
  List after swap: [-21, -32, -13, -54, 16, 77]
  Compare -13 and -54
  Swap -13 and -54
  List after swap: [-21, -32, -54, -13, 16, 77]

Pass 4:
  Compare -21 and -32
  Swap -21 and -32
  List after swap: [-32, -21, -54, -13, 16, 77]
  Compare -21 and -54
  Swap -21 and -54
  List after swap: [-32, -54, -21, -13, 16, 77]

Pass 5:
  Compare -32 and -54
  Swap -32 and -54
  List after swap: [-54, -32, -21, -13, 16, 77]

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

Final sorted list: [-54, -32, -21, -13, 16, 77]
</think>

<response>-54, -32, -21, -13, 16, 77</response>


input: Using the bubble sort method, sort 84, 67, -61 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [84, 67, -61]

Pass 1:
  Compare 84 and 67
  Swap 84 and 67
  List after swap: [67, 84, -61]
  Compare 84 and -61
  Swap 84 and -61
  List after swap: [67, -61, 84]

Pass 2:
  Compare 67 and -61
  Swap 67 and -61
  List after swap: [-61, 67, 84]

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

Final sorted list: [-61, 67, 84]
</think>

<response>-61, 67, 84</response>


input: Carry out the bubble sort algorithm on -7, -80, 95, 13, 50, 98, -10, 74 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-7, -80, 95, 13, 50, 98, -10, 74]

Pass 1:
  Compare -7 and -80
  Swap -7 and -80
  List after swap: [-80, -7, 95, 13, 50, 98, -10, 74]
  Compare -7 and 95
  No swap needed
  Compare 95 and 13
  Swap 95 and 13
  List after swap: [-80, -7, 13, 95, 50, 98, -10, 74]
  Compare 95 and 50
  Swap 95 and 50
  List after swap: [-80, -7, 13, 50, 95, 98, -10, 74]
  Compare 95 and 98
  No swap needed
  Compare 98 and -10
  Swap 98 and -10
  List after swap: [-80, -7, 13, 50, 95, -10, 98, 74]
  Compare 98 and 74
  Swap 98 and 74
  List after swap: [-80, -7, 13, 50, 95, -10, 74, 98]

Pass 2:
  Compare -80 and -7
  No swap needed
  Compare -7 and 13
  No swap needed
  Compare 13 and 50
  No swap needed
  Compare 50 and 95
  No swap needed
  Compare 95 and -10
  Swap 95 and -10
  List after swap: [-80, -7, 13, 50, -10, 95, 74, 98]
  Compare 95 and 74
  Swap 95 and 74
  List after swap: [-80, -7, 13, 50, -10, 74, 95, 98]

Pass 3:
  Compare -80 and -7
  No swap needed
  Compare -7 and 13
  No swap needed
  Compare 13 and 50
  No swap needed
  Compare 50 and -10
  Swap 50 and -10
  List after swap: [-80, -7, 13, -10, 50, 74, 95, 98]
  Compare 50 and 74
  No swap needed

Pass 4:
  Compare -80 and -7
  No swap needed
  Compare -7 and 13
  No swap needed
  Compare 13 and -10
  Swap 13 and -10
  List after swap: [-80, -7, -10, 13, 50, 74, 95, 98]
  Compare 13 and 50
  No swap needed

Pass 5:
  Compare -80 and -7
  No swap needed
  Compare -7 and -10
  Swap -7 and -10
  List after swap: [-80, -10, -7, 13, 50, 74, 95, 98]
  Compare -7 and 13
  No swap needed

Pass 6:
  Compare -80 and -10
  No swap needed
  Compare -10 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -10, -7, 13, 50, 74, 95, 98]
</think>

<response>-80, -10, -7, 13, 50, 74, 95, 98</response>


input: Execute bubble sort to sort -93, 25, 81, -35 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-93, 25, 81, -35]

Pass 1:
  Compare -93 and 25
  No swap needed
  Compare 25 and 81
  No swap needed
  Compare 81 and -35
  Swap 81 and -35
  List after swap: [-93, 25, -35, 81]

Pass 2:
  Compare -93 and 25
  No swap needed
  Compare 25 and -35
  Swap 25 and -35
  List after swap: [-93, -35, 25, 81]

Pass 3:
  Compare -93 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -35, 25, 81]
</think>

<response>-93, -35, 25, 81</response>


input: Arrange the numbers 10, -97, 42, 64, 41, -73 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [10, -97, 42, 64, 41, -73]

Pass 1:
  Compare 10 and -97
  Swap 10 and -97
  List after swap: [-97, 10, 42, 64, 41, -73]
  Compare 10 and 42
  No swap needed
  Compare 42 and 64
  No swap needed
  Compare 64 and 41
  Swap 64 and 41
  List after swap: [-97, 10, 42, 41, 64, -73]
  Compare 64 and -73
  Swap 64 and -73
  List after swap: [-97, 10, 42, 41, -73, 64]

Pass 2:
  Compare -97 and 10
  No swap needed
  Compare 10 and 42
  No swap needed
  Compare 42 and 41
  Swap 42 and 41
  List after swap: [-97, 10, 41, 42, -73, 64]
  Compare 42 and -73
  Swap 42 and -73
  List after swap: [-97, 10, 41, -73, 42, 64]

Pass 3:
  Compare -97 and 10
  No swap needed
  Compare 10 and 41
  No swap needed
  Compare 41 and -73
  Swap 41 and -73
  List after swap: [-97, 10, -73, 41, 42, 64]

Pass 4:
  Compare -97 and 10
  No swap needed
  Compare 10 and -73
  Swap 10 and -73
  List after swap: [-97, -73, 10, 41, 42, 64]

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

Final sorted list: [-97, -73, 10, 41, 42, 64]
</think>

<response>-97, -73, 10, 41, 42, 64</response>


input: Perform a bubble sort on the integers 6, -9, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [6, -9]

Pass 1:
  Compare 6 and -9
  Swap 6 and -9
  List after swap: [-9, 6]

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

Final sorted list: [-9, 6]
</think>

<response>-9, 6</response>


input: Execute bubble sort to sort 61, -40, -12, 81, -77, 48, 36, -76, 32, 99 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [61, -40, -12, 81, -77, 48, 36, -76, 32, 99]

Pass 1:
  Compare 61 and -40
  Swap 61 and -40
  List after swap: [-40, 61, -12, 81, -77, 48, 36, -76, 32, 99]
  Compare 61 and -12
  Swap 61 and -12
  List after swap: [-40, -12, 61, 81, -77, 48, 36, -76, 32, 99]
  Compare 61 and 81
  No swap needed
  Compare 81 and -77
  Swap 81 and -77
  List after swap: [-40, -12, 61, -77, 81, 48, 36, -76, 32, 99]
  Compare 81 and 48
  Swap 81 and 48
  List after swap: [-40, -12, 61, -77, 48, 81, 36, -76, 32, 99]
  Compare 81 and 36
  Swap 81 and 36
  List after swap: [-40, -12, 61, -77, 48, 36, 81, -76, 32, 99]
  Compare 81 and -76
  Swap 81 and -76
  List after swap: [-40, -12, 61, -77, 48, 36, -76, 81, 32, 99]
  Compare 81 and 32
  Swap 81 and 32
  List after swap: [-40, -12, 61, -77, 48, 36, -76, 32, 81, 99]
  Compare 81 and 99
  No swap needed

Pass 2:
  Compare -40 and -12
  No swap needed
  Compare -12 and 61
  No swap needed
  Compare 61 and -77
  Swap 61 and -77
  List after swap: [-40, -12, -77, 61, 48, 36, -76, 32, 81, 99]
  Compare 61 and 48
  Swap 61 and 48
  List after swap: [-40, -12, -77, 48, 61, 36, -76, 32, 81, 99]
  Compare 61 and 36
  Swap 61 and 36
  List after swap: [-40, -12, -77, 48, 36, 61, -76, 32, 81, 99]
  Compare 61 and -76
  Swap 61 and -76
  List after swap: [-40, -12, -77, 48, 36, -76, 61, 32, 81, 99]
  Compare 61 and 32
  Swap 61 and 32
  List after swap: [-40, -12, -77, 48, 36, -76, 32, 61, 81, 99]
  Compare 61 and 81
  No swap needed

Pass 3:
  Compare -40 and -12
  No swap needed
  Compare -12 and -77
  Swap -12 and -77
  List after swap: [-40, -77, -12, 48, 36, -76, 32, 61, 81, 99]
  Compare -12 and 48
  No swap needed
  Compare 48 and 36
  Swap 48 and 36
  List after swap: [-40, -77, -12, 36, 48, -76, 32, 61, 81, 99]
  Compare 48 and -76
  Swap 48 and -76
  List after swap: [-40, -77, -12, 36, -76, 48, 32, 61, 81, 99]
  Compare 48 and 32
  Swap 48 and 32
  List after swap: [-40, -77, -12, 36, -76, 32, 48, 61, 81, 99]
  Compare 48 and 61
  No swap needed

Pass 4:
  Compare -40 and -77
  Swap -40 and -77
  List after swap: [-77, -40, -12, 36, -76, 32, 48, 61, 81, 99]
  Compare -40 and -12
  No swap needed
  Compare -12 and 36
  No swap needed
  Compare 36 and -76
  Swap 36 and -76
  List after swap: [-77, -40, -12, -76, 36, 32, 48, 61, 81, 99]
  Compare 36 and 32
  Swap 36 and 32
  List after swap: [-77, -40, -12, -76, 32, 36, 48, 61, 81, 99]
  Compare 36 and 48
  No swap needed

Pass 5:
  Compare -77 and -40
  No swap needed
  Compare -40 and -12
  No swap needed
  Compare -12 and -76
  Swap -12 and -76
  List after swap: [-77, -40, -76, -12, 32, 36, 48, 61, 81, 99]
  Compare -12 and 32
  No swap needed
  Compare 32 and 36
  No swap needed

Pass 6:
  Compare -77 and -40
  No swap needed
  Compare -40 and -76
  Swap -40 and -76
  List after swap: [-77, -76, -40, -12, 32, 36, 48, 61, 81, 99]
  Compare -40 and -12
  No swap needed
  Compare -12 and 32
  No swap needed

Pass 7:
  Compare -77 and -76
  No swap needed
  Compare -76 and -40
  No swap needed
  Compare -40 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -76, -40, -12, 32, 36, 48, 61, 81, 99]
</think>

<response>-77, -76, -40, -12, 32, 36, 48, 61, 81, 99</response>


input: Arrange the numbers 44, 34, 29, -17 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [44, 34, 29, -17]

Pass 1:
  Compare 44 and 34
  Swap 44 and 34
  List after swap: [34, 44, 29, -17]
  Compare 44 and 29
  Swap 44 and 29
  List after swap: [34, 29, 44, -17]
  Compare 44 and -17
  Swap 44 and -17
  List after swap: [34, 29, -17, 44]

Pass 2:
  Compare 34 and 29
  Swap 34 and 29
  List after swap: [29, 34, -17, 44]
  Compare 34 and -17
  Swap 34 and -17
  List after swap: [29, -17, 34, 44]

Pass 3:
  Compare 29 and -17
  Swap 29 and -17
  List after swap: [-17, 29, 34, 44]

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

Final sorted list: [-17, 29, 34, 44]
</think>

<response>-17, 29, 34, 44</response>


input: Sort these integers 42, -32, 51, -4, -23, 81, -22, 73, 91, -70 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [42, -32, 51, -4, -23, 81, -22, 73, 91, -70]

Pass 1:
  Compare 42 and -32
  Swap 42 and -32
  List after swap: [-32, 42, 51, -4, -23, 81, -22, 73, 91, -70]
  Compare 42 and 51
  No swap needed
  Compare 51 and -4
  Swap 51 and -4
  List after swap: [-32, 42, -4, 51, -23, 81, -22, 73, 91, -70]
  Compare 51 and -23
  Swap 51 and -23
  List after swap: [-32, 42, -4, -23, 51, 81, -22, 73, 91, -70]
  Compare 51 and 81
  No swap needed
  Compare 81 and -22
  Swap 81 and -22
  List after swap: [-32, 42, -4, -23, 51, -22, 81, 73, 91, -70]
  Compare 81 and 73
  Swap 81 and 73
  List after swap: [-32, 42, -4, -23, 51, -22, 73, 81, 91, -70]
  Compare 81 and 91
  No swap needed
  Compare 91 and -70
  Swap 91 and -70
  List after swap: [-32, 42, -4, -23, 51, -22, 73, 81, -70, 91]

Pass 2:
  Compare -32 and 42
  No swap needed
  Compare 42 and -4
  Swap 42 and -4
  List after swap: [-32, -4, 42, -23, 51, -22, 73, 81, -70, 91]
  Compare 42 and -23
  Swap 42 and -23
  List after swap: [-32, -4, -23, 42, 51, -22, 73, 81, -70, 91]
  Compare 42 and 51
  No swap needed
  Compare 51 and -22
  Swap 51 and -22
  List after swap: [-32, -4, -23, 42, -22, 51, 73, 81, -70, 91]
  Compare 51 and 73
  No swap needed
  Compare 73 and 81
  No swap needed
  Compare 81 and -70
  Swap 81 and -70
  List after swap: [-32, -4, -23, 42, -22, 51, 73, -70, 81, 91]

Pass 3:
  Compare -32 and -4
  No swap needed
  Compare -4 and -23
  Swap -4 and -23
  List after swap: [-32, -23, -4, 42, -22, 51, 73, -70, 81, 91]
  Compare -4 and 42
  No swap needed
  Compare 42 and -22
  Swap 42 and -22
  List after swap: [-32, -23, -4, -22, 42, 51, 73, -70, 81, 91]
  Compare 42 and 51
  No swap needed
  Compare 51 and 73
  No swap needed
  Compare 73 and -70
  Swap 73 and -70
  List after swap: [-32, -23, -4, -22, 42, 51, -70, 73, 81, 91]

Pass 4:
  Compare -32 and -23
  No swap needed
  Compare -23 and -4
  No swap needed
  Compare -4 and -22
  Swap -4 and -22
  List after swap: [-32, -23, -22, -4, 42, 51, -70, 73, 81, 91]
  Compare -4 and 42
  No swap needed
  Compare 42 and 51
  No swap needed
  Compare 51 and -70
  Swap 51 and -70
  List after swap: [-32, -23, -22, -4, 42, -70, 51, 73, 81, 91]

Pass 5:
  Compare -32 and -23
  No swap needed
  Compare -23 and -22
  No swap needed
  Compare -22 and -4
  No swap needed
  Compare -4 and 42
  No swap needed
  Compare 42 and -70
  Swap 42 and -70
  List after swap: [-32, -23, -22, -4, -70, 42, 51, 73, 81, 91]

Pass 6:
  Compare -32 and -23
  No swap needed
  Compare -23 and -22
  No swap needed
  Compare -22 and -4
  No swap needed
  Compare -4 and -70
  Swap -4 and -70
  List after swap: [-32, -23, -22, -70, -4, 42, 51, 73, 81, 91]

Pass 7:
  Compare -32 and -23
  No swap needed
  Compare -23 and -22
  No swap needed
  Compare -22 and -70
  Swap -22 and -70
  List after swap: [-32, -23, -70, -22, -4, 42, 51, 73, 81, 91]

Pass 8:
  Compare -32 and -23
  No swap needed
  Compare -23 and -70
  Swap -23 and -70
  List after swap: [-32, -70, -23, -22, -4, 42, 51, 73, 81, 91]

Pass 9:
  Compare -32 and -70
  Swap -32 and -70
  List after swap: [-70, -32, -23, -22, -4, 42, 51, 73, 81, 91]

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

Final sorted list: [-70, -32, -23, -22, -4, 42, 51, 73, 81, 91]
</think>

<response>-70, -32, -23, -22, -4, 42, 51, 73, 81, 91</response>


input: Sort the list -48, -65 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-48, -65]

Pass 1:
  Compare -48 and -65
  Swap -48 and -65
  List after swap: [-65, -48]

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

Final sorted list: [-65, -48]
</think>

<response>-65, -48</response>


input: Demonstrate how bubble sort orders the integers -63, 88, 4, 90, 20, -32 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-63, 88, 4, 90, 20, -32]

Pass 1:
  Compare -63 and 88
  No swap needed
  Compare 88 and 4
  Swap 88 and 4
  List after swap: [-63, 4, 88, 90, 20, -32]
  Compare 88 and 90
  No swap needed
  Compare 90 and 20
  Swap 90 and 20
  List after swap: [-63, 4, 88, 20, 90, -32]
  Compare 90 and -32
  Swap 90 and -32
  List after swap: [-63, 4, 88, 20, -32, 90]

Pass 2:
  Compare -63 and 4
  No swap needed
  Compare 4 and 88
  No swap needed
  Compare 88 and 20
  Swap 88 and 20
  List after swap: [-63, 4, 20, 88, -32, 90]
  Compare 88 and -32
  Swap 88 and -32
  List after swap: [-63, 4, 20, -32, 88, 90]

Pass 3:
  Compare -63 and 4
  No swap needed
  Compare 4 and 20
  No swap needed
  Compare 20 and -32
  Swap 20 and -32
  List after swap: [-63, 4, -32, 20, 88, 90]

Pass 4:
  Compare -63 and 4
  No swap needed
  Compare 4 and -32
  Swap 4 and -32
  List after swap: [-63, -32, 4, 20, 88, 90]

Pass 5:
  Compare -63 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -32, 4, 20, 88, 90]
</think>

<response>-63, -32, 4, 20, 88, 90</response>


input: Demonstrate how bubble sort orders the integers 2, -5 in ascending sequence, showing all steps.

output:
<think>
Initial list: [2, -5]

Pass 1:
  Compare 2 and -5
  Swap 2 and -5
  List after swap: [-5, 2]

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

Final sorted list: [-5, 2]
</think>

<response>-5, 2</response>


input: Sort the list -50, 68, 58, 92 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-50, 68, 58, 92]

Pass 1:
  Compare -50 and 68
  No swap needed
  Compare 68 and 58
  Swap 68 and 58
  List after swap: [-50, 58, 68, 92]
  Compare 68 and 92
  No swap needed

Pass 2:
  Compare -50 and 58
  No swap needed
  Compare 58 and 68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 58, 68, 92]
</think>

<response>-50, 58, 68, 92</response>


input: Demonstrate how bubble sort orders the integers -2, -42, -59, -82, -77 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-2, -42, -59, -82, -77]

Pass 1:
  Compare -2 and -42
  Swap -2 and -42
  List after swap: [-42, -2, -59, -82, -77]
  Compare -2 and -59
  Swap -2 and -59
  List after swap: [-42, -59, -2, -82, -77]
  Compare -2 and -82
  Swap -2 and -82
  List after swap: [-42, -59, -82, -2, -77]
  Compare -2 and -77
  Swap -2 and -77
  List after swap: [-42, -59, -82, -77, -2]

Pass 2:
  Compare -42 and -59
  Swap -42 and -59
  List after swap: [-59, -42, -82, -77, -2]
  Compare -42 and -82
  Swap -42 and -82
  List after swap: [-59, -82, -42, -77, -2]
  Compare -42 and -77
  Swap -42 and -77
  List after swap: [-59, -82, -77, -42, -2]

Pass 3:
  Compare -59 and -82
  Swap -59 and -82
  List after swap: [-82, -59, -77, -42, -2]
  Compare -59 and -77
  Swap -59 and -77
  List after swap: [-82, -77, -59, -42, -2]

Pass 4:
  Compare -82 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -77, -59, -42, -2]
</think>

<response>-82, -77, -59, -42, -2</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -27, -28.

output:
<think>
Initial list: [-27, -28]

Pass 1:
  Compare -27 and -28
  Swap -27 and -28
  List after swap: [-28, -27]

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

Final sorted list: [-28, -27]
</think>

<response>-28, -27</response>


input: Use the bubble sort technique to reorder 64, -89, 90, -86, 43 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [64, -89, 90, -86, 43]

Pass 1:
  Compare 64 and -89
  Swap 64 and -89
  List after swap: [-89, 64, 90, -86, 43]
  Compare 64 and 90
  No swap needed
  Compare 90 and -86
  Swap 90 and -86
  List after swap: [-89, 64, -86, 90, 43]
  Compare 90 and 43
  Swap 90 and 43
  List after swap: [-89, 64, -86, 43, 90]

Pass 2:
  Compare -89 and 64
  No swap needed
  Compare 64 and -86
  Swap 64 and -86
  List after swap: [-89, -86, 64, 43, 90]
  Compare 64 and 43
  Swap 64 and 43
  List after swap: [-89, -86, 43, 64, 90]

Pass 3:
  Compare -89 and -86
  No swap needed
  Compare -86 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -86, 43, 64, 90]
</think>

<response>-89, -86, 43, 64, 90</response>


input: Sort the list 63, -16, 1, -53, 10, 58, 76, -49 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [63, -16, 1, -53, 10, 58, 76, -49]

Pass 1:
  Compare 63 and -16
  Swap 63 and -16
  List after swap: [-16, 63, 1, -53, 10, 58, 76, -49]
  Compare 63 and 1
  Swap 63 and 1
  List after swap: [-16, 1, 63, -53, 10, 58, 76, -49]
  Compare 63 and -53
  Swap 63 and -53
  List after swap: [-16, 1, -53, 63, 10, 58, 76, -49]
  Compare 63 and 10
  Swap 63 and 10
  List after swap: [-16, 1, -53, 10, 63, 58, 76, -49]
  Compare 63 and 58
  Swap 63 and 58
  List after swap: [-16, 1, -53, 10, 58, 63, 76, -49]
  Compare 63 and 76
  No swap needed
  Compare 76 and -49
  Swap 76 and -49
  List after swap: [-16, 1, -53, 10, 58, 63, -49, 76]

Pass 2:
  Compare -16 and 1
  No swap needed
  Compare 1 and -53
  Swap 1 and -53
  List after swap: [-16, -53, 1, 10, 58, 63, -49, 76]
  Compare 1 and 10
  No swap needed
  Compare 10 and 58
  No swap needed
  Compare 58 and 63
  No swap needed
  Compare 63 and -49
  Swap 63 and -49
  List after swap: [-16, -53, 1, 10, 58, -49, 63, 76]

Pass 3:
  Compare -16 and -53
  Swap -16 and -53
  List after swap: [-53, -16, 1, 10, 58, -49, 63, 76]
  Compare -16 and 1
  No swap needed
  Compare 1 and 10
  No swap needed
  Compare 10 and 58
  No swap needed
  Compare 58 and -49
  Swap 58 and -49
  List after swap: [-53, -16, 1, 10, -49, 58, 63, 76]

Pass 4:
  Compare -53 and -16
  No swap needed
  Compare -16 and 1
  No swap needed
  Compare 1 and 10
  No swap needed
  Compare 10 and -49
  Swap 10 and -49
  List after swap: [-53, -16, 1, -49, 10, 58, 63, 76]

Pass 5:
  Compare -53 and -16
  No swap needed
  Compare -16 and 1
  No swap needed
  Compare 1 and -49
  Swap 1 and -49
  List after swap: [-53, -16, -49, 1, 10, 58, 63, 76]

Pass 6:
  Compare -53 and -16
  No swap needed
  Compare -16 and -49
  Swap -16 and -49
  List after swap: [-53, -49, -16, 1, 10, 58, 63, 76]

Pass 7:
  Compare -53 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -49, -16, 1, 10, 58, 63, 76]
</think>

<response>-53, -49, -16, 1, 10, 58, 63, 76</response>


input: Sort the list 63, 26, 68, -6, -36 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [63, 26, 68, -6, -36]

Pass 1:
  Compare 63 and 26
  Swap 63 and 26
  List after swap: [26, 63, 68, -6, -36]
  Compare 63 and 68
  No swap needed
  Compare 68 and -6
  Swap 68 and -6
  List after swap: [26, 63, -6, 68, -36]
  Compare 68 and -36
  Swap 68 and -36
  List after swap: [26, 63, -6, -36, 68]

Pass 2:
  Compare 26 and 63
  No swap needed
  Compare 63 and -6
  Swap 63 and -6
  List after swap: [26, -6, 63, -36, 68]
  Compare 63 and -36
  Swap 63 and -36
  List after swap: [26, -6, -36, 63, 68]

Pass 3:
  Compare 26 and -6
  Swap 26 and -6
  List after swap: [-6, 26, -36, 63, 68]
  Compare 26 and -36
  Swap 26 and -36
  List after swap: [-6, -36, 26, 63, 68]

Pass 4:
  Compare -6 and -36
  Swap -6 and -36
  List after swap: [-36, -6, 26, 63, 68]

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

Final sorted list: [-36, -6, 26, 63, 68]
</think>

<response>-36, -6, 26, 63, 68</response>


input: Arrange the numbers 29, 90, 46 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [29, 90, 46]

Pass 1:
  Compare 29 and 90
  No swap needed
  Compare 90 and 46
  Swap 90 and 46
  List after swap: [29, 46, 90]

Pass 2:
  Compare 29 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [29, 46, 90]
</think>

<response>29, 46, 90</response>


input: Perform a bubble sort on the integers -88, -98, 91, 94, -58, -70, 79, -75, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-88, -98, 91, 94, -58, -70, 79, -75]

Pass 1:
  Compare -88 and -98
  Swap -88 and -98
  List after swap: [-98, -88, 91, 94, -58, -70, 79, -75]
  Compare -88 and 91
  No swap needed
  Compare 91 and 94
  No swap needed
  Compare 94 and -58
  Swap 94 and -58
  List after swap: [-98, -88, 91, -58, 94, -70, 79, -75]
  Compare 94 and -70
  Swap 94 and -70
  List after swap: [-98, -88, 91, -58, -70, 94, 79, -75]
  Compare 94 and 79
  Swap 94 and 79
  List after swap: [-98, -88, 91, -58, -70, 79, 94, -75]
  Compare 94 and -75
  Swap 94 and -75
  List after swap: [-98, -88, 91, -58, -70, 79, -75, 94]

Pass 2:
  Compare -98 and -88
  No swap needed
  Compare -88 and 91
  No swap needed
  Compare 91 and -58
  Swap 91 and -58
  List after swap: [-98, -88, -58, 91, -70, 79, -75, 94]
  Compare 91 and -70
  Swap 91 and -70
  List after swap: [-98, -88, -58, -70, 91, 79, -75, 94]
  Compare 91 and 79
  Swap 91 and 79
  List after swap: [-98, -88, -58, -70, 79, 91, -75, 94]
  Compare 91 and -75
  Swap 91 and -75
  List after swap: [-98, -88, -58, -70, 79, -75, 91, 94]

Pass 3:
  Compare -98 and -88
  No swap needed
  Compare -88 and -58
  No swap needed
  Compare -58 and -70
  Swap -58 and -70
  List after swap: [-98, -88, -70, -58, 79, -75, 91, 94]
  Compare -58 and 79
  No swap needed
  Compare 79 and -75
  Swap 79 and -75
  List after swap: [-98, -88, -70, -58, -75, 79, 91, 94]

Pass 4:
  Compare -98 and -88
  No swap needed
  Compare -88 and -70
  No swap needed
  Compare -70 and -58
  No swap needed
  Compare -58 and -75
  Swap -58 and -75
  List after swap: [-98, -88, -70, -75, -58, 79, 91, 94]

Pass 5:
  Compare -98 and -88
  No swap needed
  Compare -88 and -70
  No swap needed
  Compare -70 and -75
  Swap -70 and -75
  List after swap: [-98, -88, -75, -70, -58, 79, 91, 94]

Pass 6:
  Compare -98 and -88
  No swap needed
  Compare -88 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -88, -75, -70, -58, 79, 91, 94]
</think>

<response>-98, -88, -75, -70, -58, 79, 91, 94</response>


input: Perform a bubble sort on the integers -46, 76, -6, -58, -44, -33, 25, 77, 88, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-46, 76, -6, -58, -44, -33, 25, 77, 88]

Pass 1:
  Compare -46 and 76
  No swap needed
  Compare 76 and -6
  Swap 76 and -6
  List after swap: [-46, -6, 76, -58, -44, -33, 25, 77, 88]
  Compare 76 and -58
  Swap 76 and -58
  List after swap: [-46, -6, -58, 76, -44, -33, 25, 77, 88]
  Compare 76 and -44
  Swap 76 and -44
  List after swap: [-46, -6, -58, -44, 76, -33, 25, 77, 88]
  Compare 76 and -33
  Swap 76 and -33
  List after swap: [-46, -6, -58, -44, -33, 76, 25, 77, 88]
  Compare 76 and 25
  Swap 76 and 25
  List after swap: [-46, -6, -58, -44, -33, 25, 76, 77, 88]
  Compare 76 and 77
  No swap needed
  Compare 77 and 88
  No swap needed

Pass 2:
  Compare -46 and -6
  No swap needed
  Compare -6 and -58
  Swap -6 and -58
  List after swap: [-46, -58, -6, -44, -33, 25, 76, 77, 88]
  Compare -6 and -44
  Swap -6 and -44
  List after swap: [-46, -58, -44, -6, -33, 25, 76, 77, 88]
  Compare -6 and -33
  Swap -6 and -33
  List after swap: [-46, -58, -44, -33, -6, 25, 76, 77, 88]
  Compare -6 and 25
  No swap needed
  Compare 25 and 76
  No swap needed
  Compare 76 and 77
  No swap needed

Pass 3:
  Compare -46 and -58
  Swap -46 and -58
  List after swap: [-58, -46, -44, -33, -6, 25, 76, 77, 88]
  Compare -46 and -44
  No swap needed
  Compare -44 and -33
  No swap needed
  Compare -33 and -6
  No swap needed
  Compare -6 and 25
  No swap needed
  Compare 25 and 76
  No swap needed

Pass 4:
  Compare -58 and -46
  No swap needed
  Compare -46 and -44
  No swap needed
  Compare -44 and -33
  No swap needed
  Compare -33 and -6
  No swap needed
  Compare -6 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -46, -44, -33, -6, 25, 76, 77, 88]
</think>

<response>-58, -46, -44, -33, -6, 25, 76, 77, 88</response>


input: Perform a bubble sort on the integers -36, 7, 99, -33, -99, 48, 11, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-36, 7, 99, -33, -99, 48, 11]

Pass 1:
  Compare -36 and 7
  No swap needed
  Compare 7 and 99
  No swap needed
  Compare 99 and -33
  Swap 99 and -33
  List after swap: [-36, 7, -33, 99, -99, 48, 11]
  Compare 99 and -99
  Swap 99 and -99
  List after swap: [-36, 7, -33, -99, 99, 48, 11]
  Compare 99 and 48
  Swap 99 and 48
  List after swap: [-36, 7, -33, -99, 48, 99, 11]
  Compare 99 and 11
  Swap 99 and 11
  List after swap: [-36, 7, -33, -99, 48, 11, 99]

Pass 2:
  Compare -36 and 7
  No swap needed
  Compare 7 and -33
  Swap 7 and -33
  List after swap: [-36, -33, 7, -99, 48, 11, 99]
  Compare 7 and -99
  Swap 7 and -99
  List after swap: [-36, -33, -99, 7, 48, 11, 99]
  Compare 7 and 48
  No swap needed
  Compare 48 and 11
  Swap 48 and 11
  List after swap: [-36, -33, -99, 7, 11, 48, 99]

Pass 3:
  Compare -36 and -33
  No swap needed
  Compare -33 and -99
  Swap -33 and -99
  List after swap: [-36, -99, -33, 7, 11, 48, 99]
  Compare -33 and 7
  No swap needed
  Compare 7 and 11
  No swap needed

Pass 4:
  Compare -36 and -99
  Swap -36 and -99
  List after swap: [-99, -36, -33, 7, 11, 48, 99]
  Compare -36 and -33
  No swap needed
  Compare -33 and 7
  No swap needed

Pass 5:
  Compare -99 and -36
  No swap needed
  Compare -36 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -36, -33, 7, 11, 48, 99]
</think>

<response>-99, -36, -33, 7, 11, 48, 99</response>


input: Arrange the numbers 17, -25, -43, 94, -28, 33, -58, 84 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [17, -25, -43, 94, -28, 33, -58, 84]

Pass 1:
  Compare 17 and -25
  Swap 17 and -25
  List after swap: [-25, 17, -43, 94, -28, 33, -58, 84]
  Compare 17 and -43
  Swap 17 and -43
  List after swap: [-25, -43, 17, 94, -28, 33, -58, 84]
  Compare 17 and 94
  No swap needed
  Compare 94 and -28
  Swap 94 and -28
  List after swap: [-25, -43, 17, -28, 94, 33, -58, 84]
  Compare 94 and 33
  Swap 94 and 33
  List after swap: [-25, -43, 17, -28, 33, 94, -58, 84]
  Compare 94 and -58
  Swap 94 and -58
  List after swap: [-25, -43, 17, -28, 33, -58, 94, 84]
  Compare 94 and 84
  Swap 94 and 84
  List after swap: [-25, -43, 17, -28, 33, -58, 84, 94]

Pass 2:
  Compare -25 and -43
  Swap -25 and -43
  List after swap: [-43, -25, 17, -28, 33, -58, 84, 94]
  Compare -25 and 17
  No swap needed
  Compare 17 and -28
  Swap 17 and -28
  List after swap: [-43, -25, -28, 17, 33, -58, 84, 94]
  Compare 17 and 33
  No swap needed
  Compare 33 and -58
  Swap 33 and -58
  List after swap: [-43, -25, -28, 17, -58, 33, 84, 94]
  Compare 33 and 84
  No swap needed

Pass 3:
  Compare -43 and -25
  No swap needed
  Compare -25 and -28
  Swap -25 and -28
  List after swap: [-43, -28, -25, 17, -58, 33, 84, 94]
  Compare -25 and 17
  No swap needed
  Compare 17 and -58
  Swap 17 and -58
  List after swap: [-43, -28, -25, -58, 17, 33, 84, 94]
  Compare 17 and 33
  No swap needed

Pass 4:
  Compare -43 and -28
  No swap needed
  Compare -28 and -25
  No swap needed
  Compare -25 and -58
  Swap -25 and -58
  List after swap: [-43, -28, -58, -25, 17, 33, 84, 94]
  Compare -25 and 17
  No swap needed

Pass 5:
  Compare -43 and -28
  No swap needed
  Compare -28 and -58
  Swap -28 and -58
  List after swap: [-43, -58, -28, -25, 17, 33, 84, 94]
  Compare -28 and -25
  No swap needed

Pass 6:
  Compare -43 and -58
  Swap -43 and -58
  List after swap: [-58, -43, -28, -25, 17, 33, 84, 94]
  Compare -43 and -28
  No swap needed

Pass 7:
  Compare -58 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -43, -28, -25, 17, 33, 84, 94]
</think>

<response>-58, -43, -28, -25, 17, 33, 84, 94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -50, -25, -73, 22, 78, 82, 91, -32, -42, -61.

output:
<think>
Initial list: [-50, -25, -73, 22, 78, 82, 91, -32, -42, -61]

Pass 1:
  Compare -50 and -25
  No swap needed
  Compare -25 and -73
  Swap -25 and -73
  List after swap: [-50, -73, -25, 22, 78, 82, 91, -32, -42, -61]
  Compare -25 and 22
  No swap needed
  Compare 22 and 78
  No swap needed
  Compare 78 and 82
  No swap needed
  Compare 82 and 91
  No swap needed
  Compare 91 and -32
  Swap 91 and -32
  List after swap: [-50, -73, -25, 22, 78, 82, -32, 91, -42, -61]
  Compare 91 and -42
  Swap 91 and -42
  List after swap: [-50, -73, -25, 22, 78, 82, -32, -42, 91, -61]
  Compare 91 and -61
  Swap 91 and -61
  List after swap: [-50, -73, -25, 22, 78, 82, -32, -42, -61, 91]

Pass 2:
  Compare -50 and -73
  Swap -50 and -73
  List after swap: [-73, -50, -25, 22, 78, 82, -32, -42, -61, 91]
  Compare -50 and -25
  No swap needed
  Compare -25 and 22
  No swap needed
  Compare 22 and 78
  No swap needed
  Compare 78 and 82
  No swap needed
  Compare 82 and -32
  Swap 82 and -32
  List after swap: [-73, -50, -25, 22, 78, -32, 82, -42, -61, 91]
  Compare 82 and -42
  Swap 82 and -42
  List after swap: [-73, -50, -25, 22, 78, -32, -42, 82, -61, 91]
  Compare 82 and -61
  Swap 82 and -61
  List after swap: [-73, -50, -25, 22, 78, -32, -42, -61, 82, 91]

Pass 3:
  Compare -73 and -50
  No swap needed
  Compare -50 and -25
  No swap needed
  Compare -25 and 22
  No swap needed
  Compare 22 and 78
  No swap needed
  Compare 78 and -32
  Swap 78 and -32
  List after swap: [-73, -50, -25, 22, -32, 78, -42, -61, 82, 91]
  Compare 78 and -42
  Swap 78 and -42
  List after swap: [-73, -50, -25, 22, -32, -42, 78, -61, 82, 91]
  Compare 78 and -61
  Swap 78 and -61
  List after swap: [-73, -50, -25, 22, -32, -42, -61, 78, 82, 91]

Pass 4:
  Compare -73 and -50
  No swap needed
  Compare -50 and -25
  No swap needed
  Compare -25 and 22
  No swap needed
  Compare 22 and -32
  Swap 22 and -32
  List after swap: [-73, -50, -25, -32, 22, -42, -61, 78, 82, 91]
  Compare 22 and -42
  Swap 22 and -42
  List after swap: [-73, -50, -25, -32, -42, 22, -61, 78, 82, 91]
  Compare 22 and -61
  Swap 22 and -61
  List after swap: [-73, -50, -25, -32, -42, -61, 22, 78, 82, 91]

Pass 5:
  Compare -73 and -50
  No swap needed
  Compare -50 and -25
  No swap needed
  Compare -25 and -32
  Swap -25 and -32
  List after swap: [-73, -50, -32, -25, -42, -61, 22, 78, 82, 91]
  Compare -25 and -42
  Swap -25 and -42
  List after swap: [-73, -50, -32, -42, -25, -61, 22, 78, 82, 91]
  Compare -25 and -61
  Swap -25 and -61
  List after swap: [-73, -50, -32, -42, -61, -25, 22, 78, 82, 91]

Pass 6:
  Compare -73 and -50
  No swap needed
  Compare -50 and -32
  No swap needed
  Compare -32 and -42
  Swap -32 and -42
  List after swap: [-73, -50, -42, -32, -61, -25, 22, 78, 82, 91]
  Compare -32 and -61
  Swap -32 and -61
  List after swap: [-73, -50, -42, -61, -32, -25, 22, 78, 82, 91]

Pass 7:
  Compare -73 and -50
  No swap needed
  Compare -50 and -42
  No swap needed
  Compare -42 and -61
  Swap -42 and -61
  List after swap: [-73, -50, -61, -42, -32, -25, 22, 78, 82, 91]

Pass 8:
  Compare -73 and -50
  No swap needed
  Compare -50 and -61
  Swap -50 and -61
  List after swap: [-73, -61, -50, -42, -32, -25, 22, 78, 82, 91]

Pass 9:
  Compare -73 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -61, -50, -42, -32, -25, 22, 78, 82, 91]
</think>

<response>-73, -61, -50, -42, -32, -25, 22, 78, 82, 91</response>


input: Sort these integers -85, 43, 14, 26, -69, 62, 1 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-85, 43, 14, 26, -69, 62, 1]

Pass 1:
  Compare -85 and 43
  No swap needed
  Compare 43 and 14
  Swap 43 and 14
  List after swap: [-85, 14, 43, 26, -69, 62, 1]
  Compare 43 and 26
  Swap 43 and 26
  List after swap: [-85, 14, 26, 43, -69, 62, 1]
  Compare 43 and -69
  Swap 43 and -69
  List after swap: [-85, 14, 26, -69, 43, 62, 1]
  Compare 43 and 62
  No swap needed
  Compare 62 and 1
  Swap 62 and 1
  List after swap: [-85, 14, 26, -69, 43, 1, 62]

Pass 2:
  Compare -85 and 14
  No swap needed
  Compare 14 and 26
  No swap needed
  Compare 26 and -69
  Swap 26 and -69
  List after swap: [-85, 14, -69, 26, 43, 1, 62]
  Compare 26 and 43
  No swap needed
  Compare 43 and 1
  Swap 43 and 1
  List after swap: [-85, 14, -69, 26, 1, 43, 62]

Pass 3:
  Compare -85 and 14
  No swap needed
  Compare 14 and -69
  Swap 14 and -69
  List after swap: [-85, -69, 14, 26, 1, 43, 62]
  Compare 14 and 26
  No swap needed
  Compare 26 and 1
  Swap 26 and 1
  List after swap: [-85, -69, 14, 1, 26, 43, 62]

Pass 4:
  Compare -85 and -69
  No swap needed
  Compare -69 and 14
  No swap needed
  Compare 14 and 1
  Swap 14 and 1
  List after swap: [-85, -69, 1, 14, 26, 43, 62]

Pass 5:
  Compare -85 and -69
  No swap needed
  Compare -69 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -69, 1, 14, 26, 43, 62]
</think>

<response>-85, -69, 1, 14, 26, 43, 62</response>


input: Using the bubble sort method, sort -66, 70, 81 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-66, 70, 81]

Pass 1:
  Compare -66 and 70
  No swap needed
  Compare 70 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, 70, 81]
</think>

<response>-66, 70, 81</response>


input: Execute bubble sort to sort 39, -38 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [39, -38]

Pass 1:
  Compare 39 and -38
  Swap 39 and -38
  List after swap: [-38, 39]

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

Final sorted list: [-38, 39]
</think>

<response>-38, 39</response>


input: Arrange the numbers 30, -83, -13, -92, 23, 33, -45 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [30, -83, -13, -92, 23, 33, -45]

Pass 1:
  Compare 30 and -83
  Swap 30 and -83
  List after swap: [-83, 30, -13, -92, 23, 33, -45]
  Compare 30 and -13
  Swap 30 and -13
  List after swap: [-83, -13, 30, -92, 23, 33, -45]
  Compare 30 and -92
  Swap 30 and -92
  List after swap: [-83, -13, -92, 30, 23, 33, -45]
  Compare 30 and 23
  Swap 30 and 23
  List after swap: [-83, -13, -92, 23, 30, 33, -45]
  Compare 30 and 33
  No swap needed
  Compare 33 and -45
  Swap 33 and -45
  List after swap: [-83, -13, -92, 23, 30, -45, 33]

Pass 2:
  Compare -83 and -13
  No swap needed
  Compare -13 and -92
  Swap -13 and -92
  List after swap: [-83, -92, -13, 23, 30, -45, 33]
  Compare -13 and 23
  No swap needed
  Compare 23 and 30
  No swap needed
  Compare 30 and -45
  Swap 30 and -45
  List after swap: [-83, -92, -13, 23, -45, 30, 33]

Pass 3:
  Compare -83 and -92
  Swap -83 and -92
  List after swap: [-92, -83, -13, 23, -45, 30, 33]
  Compare -83 and -13
  No swap needed
  Compare -13 and 23
  No swap needed
  Compare 23 and -45
  Swap 23 and -45
  List after swap: [-92, -83, -13, -45, 23, 30, 33]

Pass 4:
  Compare -92 and -83
  No swap needed
  Compare -83 and -13
  No swap needed
  Compare -13 and -45
  Swap -13 and -45
  List after swap: [-92, -83, -45, -13, 23, 30, 33]

Pass 5:
  Compare -92 and -83
  No swap needed
  Compare -83 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -83, -45, -13, 23, 30, 33]
</think>

<response>-92, -83, -45, -13, 23, 30, 33</response>


input: Sort these integers 77, 97, -5, -95 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [77, 97, -5, -95]

Pass 1:
  Compare 77 and 97
  No swap needed
  Compare 97 and -5
  Swap 97 and -5
  List after swap: [77, -5, 97, -95]
  Compare 97 and -95
  Swap 97 and -95
  List after swap: [77, -5, -95, 97]

Pass 2:
  Compare 77 and -5
  Swap 77 and -5
  List after swap: [-5, 77, -95, 97]
  Compare 77 and -95
  Swap 77 and -95
  List after swap: [-5, -95, 77, 97]

Pass 3:
  Compare -5 and -95
  Swap -5 and -95
  List after swap: [-95, -5, 77, 97]

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

Final sorted list: [-95, -5, 77, 97]
</think>

<response>-95, -5, 77, 97</response>


input: Sort these integers -83, -74, 73, -76, 96, -46, 58, -56, -3, -58 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-83, -74, 73, -76, 96, -46, 58, -56, -3, -58]

Pass 1:
  Compare -83 and -74
  No swap needed
  Compare -74 and 73
  No swap needed
  Compare 73 and -76
  Swap 73 and -76
  List after swap: [-83, -74, -76, 73, 96, -46, 58, -56, -3, -58]
  Compare 73 and 96
  No swap needed
  Compare 96 and -46
  Swap 96 and -46
  List after swap: [-83, -74, -76, 73, -46, 96, 58, -56, -3, -58]
  Compare 96 and 58
  Swap 96 and 58
  List after swap: [-83, -74, -76, 73, -46, 58, 96, -56, -3, -58]
  Compare 96 and -56
  Swap 96 and -56
  List after swap: [-83, -74, -76, 73, -46, 58, -56, 96, -3, -58]
  Compare 96 and -3
  Swap 96 and -3
  List after swap: [-83, -74, -76, 73, -46, 58, -56, -3, 96, -58]
  Compare 96 and -58
  Swap 96 and -58
  List after swap: [-83, -74, -76, 73, -46, 58, -56, -3, -58, 96]

Pass 2:
  Compare -83 and -74
  No swap needed
  Compare -74 and -76
  Swap -74 and -76
  List after swap: [-83, -76, -74, 73, -46, 58, -56, -3, -58, 96]
  Compare -74 and 73
  No swap needed
  Compare 73 and -46
  Swap 73 and -46
  List after swap: [-83, -76, -74, -46, 73, 58, -56, -3, -58, 96]
  Compare 73 and 58
  Swap 73 and 58
  List after swap: [-83, -76, -74, -46, 58, 73, -56, -3, -58, 96]
  Compare 73 and -56
  Swap 73 and -56
  List after swap: [-83, -76, -74, -46, 58, -56, 73, -3, -58, 96]
  Compare 73 and -3
  Swap 73 and -3
  List after swap: [-83, -76, -74, -46, 58, -56, -3, 73, -58, 96]
  Compare 73 and -58
  Swap 73 and -58
  List after swap: [-83, -76, -74, -46, 58, -56, -3, -58, 73, 96]

Pass 3:
  Compare -83 and -76
  No swap needed
  Compare -76 and -74
  No swap needed
  Compare -74 and -46
  No swap needed
  Compare -46 and 58
  No swap needed
  Compare 58 and -56
  Swap 58 and -56
  List after swap: [-83, -76, -74, -46, -56, 58, -3, -58, 73, 96]
  Compare 58 and -3
  Swap 58 and -3
  List after swap: [-83, -76, -74, -46, -56, -3, 58, -58, 73, 96]
  Compare 58 and -58
  Swap 58 and -58
  List after swap: [-83, -76, -74, -46, -56, -3, -58, 58, 73, 96]

Pass 4:
  Compare -83 and -76
  No swap needed
  Compare -76 and -74
  No swap needed
  Compare -74 and -46
  No swap needed
  Compare -46 and -56
  Swap -46 and -56
  List after swap: [-83, -76, -74, -56, -46, -3, -58, 58, 73, 96]
  Compare -46 and -3
  No swap needed
  Compare -3 and -58
  Swap -3 and -58
  List after swap: [-83, -76, -74, -56, -46, -58, -3, 58, 73, 96]

Pass 5:
  Compare -83 and -76
  No swap needed
  Compare -76 and -74
  No swap needed
  Compare -74 and -56
  No swap needed
  Compare -56 and -46
  No swap needed
  Compare -46 and -58
  Swap -46 and -58
  List after swap: [-83, -76, -74, -56, -58, -46, -3, 58, 73, 96]

Pass 6:
  Compare -83 and -76
  No swap needed
  Compare -76 and -74
  No swap needed
  Compare -74 and -56
  No swap needed
  Compare -56 and -58
  Swap -56 and -58
  List after swap: [-83, -76, -74, -58, -56, -46, -3, 58, 73, 96]

Pass 7:
  Compare -83 and -76
  No swap needed
  Compare -76 and -74
  No swap needed
  Compare -74 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -76, -74, -58, -56, -46, -3, 58, 73, 96]
</think>

<response>-83, -76, -74, -58, -56, -46, -3, 58, 73, 96</response>


input: Implement bubble sort on -16, -83, 25 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-16, -83, 25]

Pass 1:
  Compare -16 and -83
  Swap -16 and -83
  List after swap: [-83, -16, 25]
  Compare -16 and 25
  No swap needed

Pass 2:
  Compare -83 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -16, 25]
</think>

<response>-83, -16, 25</response>


input: Sort these integers -100, -81, 92, -51, 12, -94 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-100, -81, 92, -51, 12, -94]

Pass 1:
  Compare -100 and -81
  No swap needed
  Compare -81 and 92
  No swap needed
  Compare 92 and -51
  Swap 92 and -51
  List after swap: [-100, -81, -51, 92, 12, -94]
  Compare 92 and 12
  Swap 92 and 12
  List after swap: [-100, -81, -51, 12, 92, -94]
  Compare 92 and -94
  Swap 92 and -94
  List after swap: [-100, -81, -51, 12, -94, 92]

Pass 2:
  Compare -100 and -81
  No swap needed
  Compare -81 and -51
  No swap needed
  Compare -51 and 12
  No swap needed
  Compare 12 and -94
  Swap 12 and -94
  List after swap: [-100, -81, -51, -94, 12, 92]

Pass 3:
  Compare -100 and -81
  No swap needed
  Compare -81 and -51
  No swap needed
  Compare -51 and -94
  Swap -51 and -94
  List after swap: [-100, -81, -94, -51, 12, 92]

Pass 4:
  Compare -100 and -81
  No swap needed
  Compare -81 and -94
  Swap -81 and -94
  List after swap: [-100, -94, -81, -51, 12, 92]

Pass 5:
  Compare -100 and -94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -94, -81, -51, 12, 92]
</think>

<response>-100, -94, -81, -51, 12, 92</response>


input: Execute bubble sort to sort -35, 19, -33, -86 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-35, 19, -33, -86]

Pass 1:
  Compare -35 and 19
  No swap needed
  Compare 19 and -33
  Swap 19 and -33
  List after swap: [-35, -33, 19, -86]
  Compare 19 and -86
  Swap 19 and -86
  List after swap: [-35, -33, -86, 19]

Pass 2:
  Compare -35 and -33
  No swap needed
  Compare -33 and -86
  Swap -33 and -86
  List after swap: [-35, -86, -33, 19]

Pass 3:
  Compare -35 and -86
  Swap -35 and -86
  List after swap: [-86, -35, -33, 19]

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

Final sorted list: [-86, -35, -33, 19]
</think>

<response>-86, -35, -33, 19</response>


input: Using the bubble sort method, sort 65, -14, -94, 22, 58, 69, 93, 33, -18 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [65, -14, -94, 22, 58, 69, 93, 33, -18]

Pass 1:
  Compare 65 and -14
  Swap 65 and -14
  List after swap: [-14, 65, -94, 22, 58, 69, 93, 33, -18]
  Compare 65 and -94
  Swap 65 and -94
  List after swap: [-14, -94, 65, 22, 58, 69, 93, 33, -18]
  Compare 65 and 22
  Swap 65 and 22
  List after swap: [-14, -94, 22, 65, 58, 69, 93, 33, -18]
  Compare 65 and 58
  Swap 65 and 58
  List after swap: [-14, -94, 22, 58, 65, 69, 93, 33, -18]
  Compare 65 and 69
  No swap needed
  Compare 69 and 93
  No swap needed
  Compare 93 and 33
  Swap 93 and 33
  List after swap: [-14, -94, 22, 58, 65, 69, 33, 93, -18]
  Compare 93 and -18
  Swap 93 and -18
  List after swap: [-14, -94, 22, 58, 65, 69, 33, -18, 93]

Pass 2:
  Compare -14 and -94
  Swap -14 and -94
  List after swap: [-94, -14, 22, 58, 65, 69, 33, -18, 93]
  Compare -14 and 22
  No swap needed
  Compare 22 and 58
  No swap needed
  Compare 58 and 65
  No swap needed
  Compare 65 and 69
  No swap needed
  Compare 69 and 33
  Swap 69 and 33
  List after swap: [-94, -14, 22, 58, 65, 33, 69, -18, 93]
  Compare 69 and -18
  Swap 69 and -18
  List after swap: [-94, -14, 22, 58, 65, 33, -18, 69, 93]

Pass 3:
  Compare -94 and -14
  No swap needed
  Compare -14 and 22
  No swap needed
  Compare 22 and 58
  No swap needed
  Compare 58 and 65
  No swap needed
  Compare 65 and 33
  Swap 65 and 33
  List after swap: [-94, -14, 22, 58, 33, 65, -18, 69, 93]
  Compare 65 and -18
  Swap 65 and -18
  List after swap: [-94, -14, 22, 58, 33, -18, 65, 69, 93]

Pass 4:
  Compare -94 and -14
  No swap needed
  Compare -14 and 22
  No swap needed
  Compare 22 and 58
  No swap needed
  Compare 58 and 33
  Swap 58 and 33
  List after swap: [-94, -14, 22, 33, 58, -18, 65, 69, 93]
  Compare 58 and -18
  Swap 58 and -18
  List after swap: [-94, -14, 22, 33, -18, 58, 65, 69, 93]

Pass 5:
  Compare -94 and -14
  No swap needed
  Compare -14 and 22
  No swap needed
  Compare 22 and 33
  No swap needed
  Compare 33 and -18
  Swap 33 and -18
  List after swap: [-94, -14, 22, -18, 33, 58, 65, 69, 93]

Pass 6:
  Compare -94 and -14
  No swap needed
  Compare -14 and 22
  No swap needed
  Compare 22 and -18
  Swap 22 and -18
  List after swap: [-94, -14, -18, 22, 33, 58, 65, 69, 93]

Pass 7:
  Compare -94 and -14
  No swap needed
  Compare -14 and -18
  Swap -14 and -18
  List after swap: [-94, -18, -14, 22, 33, 58, 65, 69, 93]

Pass 8:
  Compare -94 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -18, -14, 22, 33, 58, 65, 69, 93]
</think>

<response>-94, -18, -14, 22, 33, 58, 65, 69, 93</response>


input: Demonstrate how bubble sort orders the integers -68, 12, -41, 86, -53, -91, 88 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-68, 12, -41, 86, -53, -91, 88]

Pass 1:
  Compare -68 and 12
  No swap needed
  Compare 12 and -41
  Swap 12 and -41
  List after swap: [-68, -41, 12, 86, -53, -91, 88]
  Compare 12 and 86
  No swap needed
  Compare 86 and -53
  Swap 86 and -53
  List after swap: [-68, -41, 12, -53, 86, -91, 88]
  Compare 86 and -91
  Swap 86 and -91
  List after swap: [-68, -41, 12, -53, -91, 86, 88]
  Compare 86 and 88
  No swap needed

Pass 2:
  Compare -68 and -41
  No swap needed
  Compare -41 and 12
  No swap needed
  Compare 12 and -53
  Swap 12 and -53
  List after swap: [-68, -41, -53, 12, -91, 86, 88]
  Compare 12 and -91
  Swap 12 and -91
  List after swap: [-68, -41, -53, -91, 12, 86, 88]
  Compare 12 and 86
  No swap needed

Pass 3:
  Compare -68 and -41
  No swap needed
  Compare -41 and -53
  Swap -41 and -53
  List after swap: [-68, -53, -41, -91, 12, 86, 88]
  Compare -41 and -91
  Swap -41 and -91
  List after swap: [-68, -53, -91, -41, 12, 86, 88]
  Compare -41 and 12
  No swap needed

Pass 4:
  Compare -68 and -53
  No swap needed
  Compare -53 and -91
  Swap -53 and -91
  List after swap: [-68, -91, -53, -41, 12, 86, 88]
  Compare -53 and -41
  No swap needed

Pass 5:
  Compare -68 and -91
  Swap -68 and -91
  List after swap: [-91, -68, -53, -41, 12, 86, 88]
  Compare -68 and -53
  No swap needed

Pass 6:
  Compare -91 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -68, -53, -41, 12, 86, 88]
</think>

<response>-91, -68, -53, -41, 12, 86, 88</response>


input: Implement bubble sort on -18, -76, -98 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-18, -76, -98]

Pass 1:
  Compare -18 and -76
  Swap -18 and -76
  List after swap: [-76, -18, -98]
  Compare -18 and -98
  Swap -18 and -98
  List after swap: [-76, -98, -18]

Pass 2:
  Compare -76 and -98
  Swap -76 and -98
  List after swap: [-98, -76, -18]

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

Final sorted list: [-98, -76, -18]
</think>

<response>-98, -76, -18</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -1, 12, -33, 95, -87.

output:
<think>
Initial list: [-1, 12, -33, 95, -87]

Pass 1:
  Compare -1 and 12
  No swap needed
  Compare 12 and -33
  Swap 12 and -33
  List after swap: [-1, -33, 12, 95, -87]
  Compare 12 and 95
  No swap needed
  Compare 95 and -87
  Swap 95 and -87
  List after swap: [-1, -33, 12, -87, 95]

Pass 2:
  Compare -1 and -33
  Swap -1 and -33
  List after swap: [-33, -1, 12, -87, 95]
  Compare -1 and 12
  No swap needed
  Compare 12 and -87
  Swap 12 and -87
  List after swap: [-33, -1, -87, 12, 95]

Pass 3:
  Compare -33 and -1
  No swap needed
  Compare -1 and -87
  Swap -1 and -87
  List after swap: [-33, -87, -1, 12, 95]

Pass 4:
  Compare -33 and -87
  Swap -33 and -87
  List after swap: [-87, -33, -1, 12, 95]

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

Final sorted list: [-87, -33, -1, 12, 95]
</think>

<response>-87, -33, -1, 12, 95</response>


input: Demonstrate how bubble sort orders the integers -11, 17, 28, 12 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-11, 17, 28, 12]

Pass 1:
  Compare -11 and 17
  No swap needed
  Compare 17 and 28
  No swap needed
  Compare 28 and 12
  Swap 28 and 12
  List after swap: [-11, 17, 12, 28]

Pass 2:
  Compare -11 and 17
  No swap needed
  Compare 17 and 12
  Swap 17 and 12
  List after swap: [-11, 12, 17, 28]

Pass 3:
  Compare -11 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-11, 12, 17, 28]
</think>

<response>-11, 12, 17, 28</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -29, -1, -94, 77, -44, -85.

output:
<think>
Initial list: [-29, -1, -94, 77, -44, -85]

Pass 1:
  Compare -29 and -1
  No swap needed
  Compare -1 and -94
  Swap -1 and -94
  List after swap: [-29, -94, -1, 77, -44, -85]
  Compare -1 and 77
  No swap needed
  Compare 77 and -44
  Swap 77 and -44
  List after swap: [-29, -94, -1, -44, 77, -85]
  Compare 77 and -85
  Swap 77 and -85
  List after swap: [-29, -94, -1, -44, -85, 77]

Pass 2:
  Compare -29 and -94
  Swap -29 and -94
  List after swap: [-94, -29, -1, -44, -85, 77]
  Compare -29 and -1
  No swap needed
  Compare -1 and -44
  Swap -1 and -44
  List after swap: [-94, -29, -44, -1, -85, 77]
  Compare -1 and -85
  Swap -1 and -85
  List after swap: [-94, -29, -44, -85, -1, 77]

Pass 3:
  Compare -94 and -29
  No swap needed
  Compare -29 and -44
  Swap -29 and -44
  List after swap: [-94, -44, -29, -85, -1, 77]
  Compare -29 and -85
  Swap -29 and -85
  List after swap: [-94, -44, -85, -29, -1, 77]

Pass 4:
  Compare -94 and -44
  No swap needed
  Compare -44 and -85
  Swap -44 and -85
  List after swap: [-94, -85, -44, -29, -1, 77]

Pass 5:
  Compare -94 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -85, -44, -29, -1, 77]
</think>

<response>-94, -85, -44, -29, -1, 77</response>


input: Arrange the numbers 10, -29, 87, 88 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [10, -29, 87, 88]

Pass 1:
  Compare 10 and -29
  Swap 10 and -29
  List after swap: [-29, 10, 87, 88]
  Compare 10 and 87
  No swap needed
  Compare 87 and 88
  No swap needed

Pass 2:
  Compare -29 and 10
  No swap needed
  Compare 10 and 87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, 10, 87, 88]
</think>

<response>-29, 10, 87, 88</response>


input: Using the bubble sort method, sort -37, -4, -18, -74, -23, 45 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-37, -4, -18, -74, -23, 45]

Pass 1:
  Compare -37 and -4
  No swap needed
  Compare -4 and -18
  Swap -4 and -18
  List after swap: [-37, -18, -4, -74, -23, 45]
  Compare -4 and -74
  Swap -4 and -74
  List after swap: [-37, -18, -74, -4, -23, 45]
  Compare -4 and -23
  Swap -4 and -23
  List after swap: [-37, -18, -74, -23, -4, 45]
  Compare -4 and 45
  No swap needed

Pass 2:
  Compare -37 and -18
  No swap needed
  Compare -18 and -74
  Swap -18 and -74
  List after swap: [-37, -74, -18, -23, -4, 45]
  Compare -18 and -23
  Swap -18 and -23
  List after swap: [-37, -74, -23, -18, -4, 45]
  Compare -18 and -4
  No swap needed

Pass 3:
  Compare -37 and -74
  Swap -37 and -74
  List after swap: [-74, -37, -23, -18, -4, 45]
  Compare -37 and -23
  No swap needed
  Compare -23 and -18
  No swap needed

Pass 4:
  Compare -74 and -37
  No swap needed
  Compare -37 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -37, -23, -18, -4, 45]
</think>

<response>-74, -37, -23, -18, -4, 45</response>