input: Using the bubble sort method, sort 26, -93, -83, 8, 16, -74, 78, -54, -22 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [26, -93, -83, 8, 16, -74, 78, -54, -22]

Pass 1:
  Compare 26 and -93
  Swap 26 and -93
  List after swap: [-93, 26, -83, 8, 16, -74, 78, -54, -22]
  Compare 26 and -83
  Swap 26 and -83
  List after swap: [-93, -83, 26, 8, 16, -74, 78, -54, -22]
  Compare 26 and 8
  Swap 26 and 8
  List after swap: [-93, -83, 8, 26, 16, -74, 78, -54, -22]
  Compare 26 and 16
  Swap 26 and 16
  List after swap: [-93, -83, 8, 16, 26, -74, 78, -54, -22]
  Compare 26 and -74
  Swap 26 and -74
  List after swap: [-93, -83, 8, 16, -74, 26, 78, -54, -22]
  Compare 26 and 78
  No swap needed
  Compare 78 and -54
  Swap 78 and -54
  List after swap: [-93, -83, 8, 16, -74, 26, -54, 78, -22]
  Compare 78 and -22
  Swap 78 and -22
  List after swap: [-93, -83, 8, 16, -74, 26, -54, -22, 78]

Pass 2:
  Compare -93 and -83
  No swap needed
  Compare -83 and 8
  No swap needed
  Compare 8 and 16
  No swap needed
  Compare 16 and -74
  Swap 16 and -74
  List after swap: [-93, -83, 8, -74, 16, 26, -54, -22, 78]
  Compare 16 and 26
  No swap needed
  Compare 26 and -54
  Swap 26 and -54
  List after swap: [-93, -83, 8, -74, 16, -54, 26, -22, 78]
  Compare 26 and -22
  Swap 26 and -22
  List after swap: [-93, -83, 8, -74, 16, -54, -22, 26, 78]

Pass 3:
  Compare -93 and -83
  No swap needed
  Compare -83 and 8
  No swap needed
  Compare 8 and -74
  Swap 8 and -74
  List after swap: [-93, -83, -74, 8, 16, -54, -22, 26, 78]
  Compare 8 and 16
  No swap needed
  Compare 16 and -54
  Swap 16 and -54
  List after swap: [-93, -83, -74, 8, -54, 16, -22, 26, 78]
  Compare 16 and -22
  Swap 16 and -22
  List after swap: [-93, -83, -74, 8, -54, -22, 16, 26, 78]

Pass 4:
  Compare -93 and -83
  No swap needed
  Compare -83 and -74
  No swap needed
  Compare -74 and 8
  No swap needed
  Compare 8 and -54
  Swap 8 and -54
  List after swap: [-93, -83, -74, -54, 8, -22, 16, 26, 78]
  Compare 8 and -22
  Swap 8 and -22
  List after swap: [-93, -83, -74, -54, -22, 8, 16, 26, 78]

Pass 5:
  Compare -93 and -83
  No swap needed
  Compare -83 and -74
  No swap needed
  Compare -74 and -54
  No swap needed
  Compare -54 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -83, -74, -54, -22, 8, 16, 26, 78]
</think>

<response>-93, -83, -74, -54, -22, 8, 16, 26, 78</response>


input: Using the bubble sort method, sort -17, -40, -19, -5, -82, -34, -31, -96 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-17, -40, -19, -5, -82, -34, -31, -96]

Pass 1:
  Compare -17 and -40
  Swap -17 and -40
  List after swap: [-40, -17, -19, -5, -82, -34, -31, -96]
  Compare -17 and -19
  Swap -17 and -19
  List after swap: [-40, -19, -17, -5, -82, -34, -31, -96]
  Compare -17 and -5
  No swap needed
  Compare -5 and -82
  Swap -5 and -82
  List after swap: [-40, -19, -17, -82, -5, -34, -31, -96]
  Compare -5 and -34
  Swap -5 and -34
  List after swap: [-40, -19, -17, -82, -34, -5, -31, -96]
  Compare -5 and -31
  Swap -5 and -31
  List after swap: [-40, -19, -17, -82, -34, -31, -5, -96]
  Compare -5 and -96
  Swap -5 and -96
  List after swap: [-40, -19, -17, -82, -34, -31, -96, -5]

Pass 2:
  Compare -40 and -19
  No swap needed
  Compare -19 and -17
  No swap needed
  Compare -17 and -82
  Swap -17 and -82
  List after swap: [-40, -19, -82, -17, -34, -31, -96, -5]
  Compare -17 and -34
  Swap -17 and -34
  List after swap: [-40, -19, -82, -34, -17, -31, -96, -5]
  Compare -17 and -31
  Swap -17 and -31
  List after swap: [-40, -19, -82, -34, -31, -17, -96, -5]
  Compare -17 and -96
  Swap -17 and -96
  List after swap: [-40, -19, -82, -34, -31, -96, -17, -5]

Pass 3:
  Compare -40 and -19
  No swap needed
  Compare -19 and -82
  Swap -19 and -82
  List after swap: [-40, -82, -19, -34, -31, -96, -17, -5]
  Compare -19 and -34
  Swap -19 and -34
  List after swap: [-40, -82, -34, -19, -31, -96, -17, -5]
  Compare -19 and -31
  Swap -19 and -31
  List after swap: [-40, -82, -34, -31, -19, -96, -17, -5]
  Compare -19 and -96
  Swap -19 and -96
  List after swap: [-40, -82, -34, -31, -96, -19, -17, -5]

Pass 4:
  Compare -40 and -82
  Swap -40 and -82
  List after swap: [-82, -40, -34, -31, -96, -19, -17, -5]
  Compare -40 and -34
  No swap needed
  Compare -34 and -31
  No swap needed
  Compare -31 and -96
  Swap -31 and -96
  List after swap: [-82, -40, -34, -96, -31, -19, -17, -5]

Pass 5:
  Compare -82 and -40
  No swap needed
  Compare -40 and -34
  No swap needed
  Compare -34 and -96
  Swap -34 and -96
  List after swap: [-82, -40, -96, -34, -31, -19, -17, -5]

Pass 6:
  Compare -82 and -40
  No swap needed
  Compare -40 and -96
  Swap -40 and -96
  List after swap: [-82, -96, -40, -34, -31, -19, -17, -5]

Pass 7:
  Compare -82 and -96
  Swap -82 and -96
  List after swap: [-96, -82, -40, -34, -31, -19, -17, -5]

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

Final sorted list: [-96, -82, -40, -34, -31, -19, -17, -5]
</think>

<response>-96, -82, -40, -34, -31, -19, -17, -5</response>


input: Carry out the bubble sort algorithm on 4, -30, -14, -32, -90, 74, -12, 9 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [4, -30, -14, -32, -90, 74, -12, 9]

Pass 1:
  Compare 4 and -30
  Swap 4 and -30
  List after swap: [-30, 4, -14, -32, -90, 74, -12, 9]
  Compare 4 and -14
  Swap 4 and -14
  List after swap: [-30, -14, 4, -32, -90, 74, -12, 9]
  Compare 4 and -32
  Swap 4 and -32
  List after swap: [-30, -14, -32, 4, -90, 74, -12, 9]
  Compare 4 and -90
  Swap 4 and -90
  List after swap: [-30, -14, -32, -90, 4, 74, -12, 9]
  Compare 4 and 74
  No swap needed
  Compare 74 and -12
  Swap 74 and -12
  List after swap: [-30, -14, -32, -90, 4, -12, 74, 9]
  Compare 74 and 9
  Swap 74 and 9
  List after swap: [-30, -14, -32, -90, 4, -12, 9, 74]

Pass 2:
  Compare -30 and -14
  No swap needed
  Compare -14 and -32
  Swap -14 and -32
  List after swap: [-30, -32, -14, -90, 4, -12, 9, 74]
  Compare -14 and -90
  Swap -14 and -90
  List after swap: [-30, -32, -90, -14, 4, -12, 9, 74]
  Compare -14 and 4
  No swap needed
  Compare 4 and -12
  Swap 4 and -12
  List after swap: [-30, -32, -90, -14, -12, 4, 9, 74]
  Compare 4 and 9
  No swap needed

Pass 3:
  Compare -30 and -32
  Swap -30 and -32
  List after swap: [-32, -30, -90, -14, -12, 4, 9, 74]
  Compare -30 and -90
  Swap -30 and -90
  List after swap: [-32, -90, -30, -14, -12, 4, 9, 74]
  Compare -30 and -14
  No swap needed
  Compare -14 and -12
  No swap needed
  Compare -12 and 4
  No swap needed

Pass 4:
  Compare -32 and -90
  Swap -32 and -90
  List after swap: [-90, -32, -30, -14, -12, 4, 9, 74]
  Compare -32 and -30
  No swap needed
  Compare -30 and -14
  No swap needed
  Compare -14 and -12
  No swap needed

Pass 5:
  Compare -90 and -32
  No swap needed
  Compare -32 and -30
  No swap needed
  Compare -30 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -32, -30, -14, -12, 4, 9, 74]
</think>

<response>-90, -32, -30, -14, -12, 4, 9, 74</response>


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

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

Pass 1:
  Compare 75 and -70
  Swap 75 and -70
  List after swap: [-70, 75]

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

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

<response>-70, 75</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 20, 56, 72, 38, -63, -5, -8, 12.

output:
<think>
Initial list: [20, 56, 72, 38, -63, -5, -8, 12]

Pass 1:
  Compare 20 and 56
  No swap needed
  Compare 56 and 72
  No swap needed
  Compare 72 and 38
  Swap 72 and 38
  List after swap: [20, 56, 38, 72, -63, -5, -8, 12]
  Compare 72 and -63
  Swap 72 and -63
  List after swap: [20, 56, 38, -63, 72, -5, -8, 12]
  Compare 72 and -5
  Swap 72 and -5
  List after swap: [20, 56, 38, -63, -5, 72, -8, 12]
  Compare 72 and -8
  Swap 72 and -8
  List after swap: [20, 56, 38, -63, -5, -8, 72, 12]
  Compare 72 and 12
  Swap 72 and 12
  List after swap: [20, 56, 38, -63, -5, -8, 12, 72]

Pass 2:
  Compare 20 and 56
  No swap needed
  Compare 56 and 38
  Swap 56 and 38
  List after swap: [20, 38, 56, -63, -5, -8, 12, 72]
  Compare 56 and -63
  Swap 56 and -63
  List after swap: [20, 38, -63, 56, -5, -8, 12, 72]
  Compare 56 and -5
  Swap 56 and -5
  List after swap: [20, 38, -63, -5, 56, -8, 12, 72]
  Compare 56 and -8
  Swap 56 and -8
  List after swap: [20, 38, -63, -5, -8, 56, 12, 72]
  Compare 56 and 12
  Swap 56 and 12
  List after swap: [20, 38, -63, -5, -8, 12, 56, 72]

Pass 3:
  Compare 20 and 38
  No swap needed
  Compare 38 and -63
  Swap 38 and -63
  List after swap: [20, -63, 38, -5, -8, 12, 56, 72]
  Compare 38 and -5
  Swap 38 and -5
  List after swap: [20, -63, -5, 38, -8, 12, 56, 72]
  Compare 38 and -8
  Swap 38 and -8
  List after swap: [20, -63, -5, -8, 38, 12, 56, 72]
  Compare 38 and 12
  Swap 38 and 12
  List after swap: [20, -63, -5, -8, 12, 38, 56, 72]

Pass 4:
  Compare 20 and -63
  Swap 20 and -63
  List after swap: [-63, 20, -5, -8, 12, 38, 56, 72]
  Compare 20 and -5
  Swap 20 and -5
  List after swap: [-63, -5, 20, -8, 12, 38, 56, 72]
  Compare 20 and -8
  Swap 20 and -8
  List after swap: [-63, -5, -8, 20, 12, 38, 56, 72]
  Compare 20 and 12
  Swap 20 and 12
  List after swap: [-63, -5, -8, 12, 20, 38, 56, 72]

Pass 5:
  Compare -63 and -5
  No swap needed
  Compare -5 and -8
  Swap -5 and -8
  List after swap: [-63, -8, -5, 12, 20, 38, 56, 72]
  Compare -5 and 12
  No swap needed

Pass 6:
  Compare -63 and -8
  No swap needed
  Compare -8 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -8, -5, 12, 20, 38, 56, 72]
</think>

<response>-63, -8, -5, 12, 20, 38, 56, 72</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -63, 97, 57.

output:
<think>
Initial list: [-63, 97, 57]

Pass 1:
  Compare -63 and 97
  No swap needed
  Compare 97 and 57
  Swap 97 and 57
  List after swap: [-63, 57, 97]

Pass 2:
  Compare -63 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, 57, 97]
</think>

<response>-63, 57, 97</response>


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

output:
<think>
Initial list: [14, -62]

Pass 1:
  Compare 14 and -62
  Swap 14 and -62
  List after swap: [-62, 14]

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

Final sorted list: [-62, 14]
</think>

<response>-62, 14</response>


input: Using the bubble sort method, sort 65, -62, 20, -55, 92 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [65, -62, 20, -55, 92]

Pass 1:
  Compare 65 and -62
  Swap 65 and -62
  List after swap: [-62, 65, 20, -55, 92]
  Compare 65 and 20
  Swap 65 and 20
  List after swap: [-62, 20, 65, -55, 92]
  Compare 65 and -55
  Swap 65 and -55
  List after swap: [-62, 20, -55, 65, 92]
  Compare 65 and 92
  No swap needed

Pass 2:
  Compare -62 and 20
  No swap needed
  Compare 20 and -55
  Swap 20 and -55
  List after swap: [-62, -55, 20, 65, 92]
  Compare 20 and 65
  No swap needed

Pass 3:
  Compare -62 and -55
  No swap needed
  Compare -55 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -55, 20, 65, 92]
</think>

<response>-62, -55, 20, 65, 92</response>


input: Execute bubble sort to sort -98, -49 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-98, -49]

Pass 1:
  Compare -98 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -49]
</think>

<response>-98, -49</response>


input: Sort the list 15, -15, -90, -77, 25, -11, -34 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [15, -15, -90, -77, 25, -11, -34]

Pass 1:
  Compare 15 and -15
  Swap 15 and -15
  List after swap: [-15, 15, -90, -77, 25, -11, -34]
  Compare 15 and -90
  Swap 15 and -90
  List after swap: [-15, -90, 15, -77, 25, -11, -34]
  Compare 15 and -77
  Swap 15 and -77
  List after swap: [-15, -90, -77, 15, 25, -11, -34]
  Compare 15 and 25
  No swap needed
  Compare 25 and -11
  Swap 25 and -11
  List after swap: [-15, -90, -77, 15, -11, 25, -34]
  Compare 25 and -34
  Swap 25 and -34
  List after swap: [-15, -90, -77, 15, -11, -34, 25]

Pass 2:
  Compare -15 and -90
  Swap -15 and -90
  List after swap: [-90, -15, -77, 15, -11, -34, 25]
  Compare -15 and -77
  Swap -15 and -77
  List after swap: [-90, -77, -15, 15, -11, -34, 25]
  Compare -15 and 15
  No swap needed
  Compare 15 and -11
  Swap 15 and -11
  List after swap: [-90, -77, -15, -11, 15, -34, 25]
  Compare 15 and -34
  Swap 15 and -34
  List after swap: [-90, -77, -15, -11, -34, 15, 25]

Pass 3:
  Compare -90 and -77
  No swap needed
  Compare -77 and -15
  No swap needed
  Compare -15 and -11
  No swap needed
  Compare -11 and -34
  Swap -11 and -34
  List after swap: [-90, -77, -15, -34, -11, 15, 25]

Pass 4:
  Compare -90 and -77
  No swap needed
  Compare -77 and -15
  No swap needed
  Compare -15 and -34
  Swap -15 and -34
  List after swap: [-90, -77, -34, -15, -11, 15, 25]

Pass 5:
  Compare -90 and -77
  No swap needed
  Compare -77 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -77, -34, -15, -11, 15, 25]
</think>

<response>-90, -77, -34, -15, -11, 15, 25</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -29, -49, -13, 45, -5, 47.

output:
<think>
Initial list: [-29, -49, -13, 45, -5, 47]

Pass 1:
  Compare -29 and -49
  Swap -29 and -49
  List after swap: [-49, -29, -13, 45, -5, 47]
  Compare -29 and -13
  No swap needed
  Compare -13 and 45
  No swap needed
  Compare 45 and -5
  Swap 45 and -5
  List after swap: [-49, -29, -13, -5, 45, 47]
  Compare 45 and 47
  No swap needed

Pass 2:
  Compare -49 and -29
  No swap needed
  Compare -29 and -13
  No swap needed
  Compare -13 and -5
  No swap needed
  Compare -5 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -29, -13, -5, 45, 47]
</think>

<response>-49, -29, -13, -5, 45, 47</response>


input: Sort these integers 17, 25, 16, 3, 77, 8, 56, 41 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [17, 25, 16, 3, 77, 8, 56, 41]

Pass 1:
  Compare 17 and 25
  No swap needed
  Compare 25 and 16
  Swap 25 and 16
  List after swap: [17, 16, 25, 3, 77, 8, 56, 41]
  Compare 25 and 3
  Swap 25 and 3
  List after swap: [17, 16, 3, 25, 77, 8, 56, 41]
  Compare 25 and 77
  No swap needed
  Compare 77 and 8
  Swap 77 and 8
  List after swap: [17, 16, 3, 25, 8, 77, 56, 41]
  Compare 77 and 56
  Swap 77 and 56
  List after swap: [17, 16, 3, 25, 8, 56, 77, 41]
  Compare 77 and 41
  Swap 77 and 41
  List after swap: [17, 16, 3, 25, 8, 56, 41, 77]

Pass 2:
  Compare 17 and 16
  Swap 17 and 16
  List after swap: [16, 17, 3, 25, 8, 56, 41, 77]
  Compare 17 and 3
  Swap 17 and 3
  List after swap: [16, 3, 17, 25, 8, 56, 41, 77]
  Compare 17 and 25
  No swap needed
  Compare 25 and 8
  Swap 25 and 8
  List after swap: [16, 3, 17, 8, 25, 56, 41, 77]
  Compare 25 and 56
  No swap needed
  Compare 56 and 41
  Swap 56 and 41
  List after swap: [16, 3, 17, 8, 25, 41, 56, 77]

Pass 3:
  Compare 16 and 3
  Swap 16 and 3
  List after swap: [3, 16, 17, 8, 25, 41, 56, 77]
  Compare 16 and 17
  No swap needed
  Compare 17 and 8
  Swap 17 and 8
  List after swap: [3, 16, 8, 17, 25, 41, 56, 77]
  Compare 17 and 25
  No swap needed
  Compare 25 and 41
  No swap needed

Pass 4:
  Compare 3 and 16
  No swap needed
  Compare 16 and 8
  Swap 16 and 8
  List after swap: [3, 8, 16, 17, 25, 41, 56, 77]
  Compare 16 and 17
  No swap needed
  Compare 17 and 25
  No swap needed

Pass 5:
  Compare 3 and 8
  No swap needed
  Compare 8 and 16
  No swap needed
  Compare 16 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [3, 8, 16, 17, 25, 41, 56, 77]
</think>

<response>3, 8, 16, 17, 25, 41, 56, 77</response>


input: Arrange the numbers 97, 58, -86 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [97, 58, -86]

Pass 1:
  Compare 97 and 58
  Swap 97 and 58
  List after swap: [58, 97, -86]
  Compare 97 and -86
  Swap 97 and -86
  List after swap: [58, -86, 97]

Pass 2:
  Compare 58 and -86
  Swap 58 and -86
  List after swap: [-86, 58, 97]

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

Final sorted list: [-86, 58, 97]
</think>

<response>-86, 58, 97</response>


input: Sort these integers -22, -49, 59, 14, -36, -28, -10, 92, 65, -48 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-22, -49, 59, 14, -36, -28, -10, 92, 65, -48]

Pass 1:
  Compare -22 and -49
  Swap -22 and -49
  List after swap: [-49, -22, 59, 14, -36, -28, -10, 92, 65, -48]
  Compare -22 and 59
  No swap needed
  Compare 59 and 14
  Swap 59 and 14
  List after swap: [-49, -22, 14, 59, -36, -28, -10, 92, 65, -48]
  Compare 59 and -36
  Swap 59 and -36
  List after swap: [-49, -22, 14, -36, 59, -28, -10, 92, 65, -48]
  Compare 59 and -28
  Swap 59 and -28
  List after swap: [-49, -22, 14, -36, -28, 59, -10, 92, 65, -48]
  Compare 59 and -10
  Swap 59 and -10
  List after swap: [-49, -22, 14, -36, -28, -10, 59, 92, 65, -48]
  Compare 59 and 92
  No swap needed
  Compare 92 and 65
  Swap 92 and 65
  List after swap: [-49, -22, 14, -36, -28, -10, 59, 65, 92, -48]
  Compare 92 and -48
  Swap 92 and -48
  List after swap: [-49, -22, 14, -36, -28, -10, 59, 65, -48, 92]

Pass 2:
  Compare -49 and -22
  No swap needed
  Compare -22 and 14
  No swap needed
  Compare 14 and -36
  Swap 14 and -36
  List after swap: [-49, -22, -36, 14, -28, -10, 59, 65, -48, 92]
  Compare 14 and -28
  Swap 14 and -28
  List after swap: [-49, -22, -36, -28, 14, -10, 59, 65, -48, 92]
  Compare 14 and -10
  Swap 14 and -10
  List after swap: [-49, -22, -36, -28, -10, 14, 59, 65, -48, 92]
  Compare 14 and 59
  No swap needed
  Compare 59 and 65
  No swap needed
  Compare 65 and -48
  Swap 65 and -48
  List after swap: [-49, -22, -36, -28, -10, 14, 59, -48, 65, 92]

Pass 3:
  Compare -49 and -22
  No swap needed
  Compare -22 and -36
  Swap -22 and -36
  List after swap: [-49, -36, -22, -28, -10, 14, 59, -48, 65, 92]
  Compare -22 and -28
  Swap -22 and -28
  List after swap: [-49, -36, -28, -22, -10, 14, 59, -48, 65, 92]
  Compare -22 and -10
  No swap needed
  Compare -10 and 14
  No swap needed
  Compare 14 and 59
  No swap needed
  Compare 59 and -48
  Swap 59 and -48
  List after swap: [-49, -36, -28, -22, -10, 14, -48, 59, 65, 92]

Pass 4:
  Compare -49 and -36
  No swap needed
  Compare -36 and -28
  No swap needed
  Compare -28 and -22
  No swap needed
  Compare -22 and -10
  No swap needed
  Compare -10 and 14
  No swap needed
  Compare 14 and -48
  Swap 14 and -48
  List after swap: [-49, -36, -28, -22, -10, -48, 14, 59, 65, 92]

Pass 5:
  Compare -49 and -36
  No swap needed
  Compare -36 and -28
  No swap needed
  Compare -28 and -22
  No swap needed
  Compare -22 and -10
  No swap needed
  Compare -10 and -48
  Swap -10 and -48
  List after swap: [-49, -36, -28, -22, -48, -10, 14, 59, 65, 92]

Pass 6:
  Compare -49 and -36
  No swap needed
  Compare -36 and -28
  No swap needed
  Compare -28 and -22
  No swap needed
  Compare -22 and -48
  Swap -22 and -48
  List after swap: [-49, -36, -28, -48, -22, -10, 14, 59, 65, 92]

Pass 7:
  Compare -49 and -36
  No swap needed
  Compare -36 and -28
  No swap needed
  Compare -28 and -48
  Swap -28 and -48
  List after swap: [-49, -36, -48, -28, -22, -10, 14, 59, 65, 92]

Pass 8:
  Compare -49 and -36
  No swap needed
  Compare -36 and -48
  Swap -36 and -48
  List after swap: [-49, -48, -36, -28, -22, -10, 14, 59, 65, 92]

Pass 9:
  Compare -49 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -48, -36, -28, -22, -10, 14, 59, 65, 92]
</think>

<response>-49, -48, -36, -28, -22, -10, 14, 59, 65, 92</response>


input: Arrange the numbers 84, -56, -98, 13, -27, -75, 56, -5 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [84, -56, -98, 13, -27, -75, 56, -5]

Pass 1:
  Compare 84 and -56
  Swap 84 and -56
  List after swap: [-56, 84, -98, 13, -27, -75, 56, -5]
  Compare 84 and -98
  Swap 84 and -98
  List after swap: [-56, -98, 84, 13, -27, -75, 56, -5]
  Compare 84 and 13
  Swap 84 and 13
  List after swap: [-56, -98, 13, 84, -27, -75, 56, -5]
  Compare 84 and -27
  Swap 84 and -27
  List after swap: [-56, -98, 13, -27, 84, -75, 56, -5]
  Compare 84 and -75
  Swap 84 and -75
  List after swap: [-56, -98, 13, -27, -75, 84, 56, -5]
  Compare 84 and 56
  Swap 84 and 56
  List after swap: [-56, -98, 13, -27, -75, 56, 84, -5]
  Compare 84 and -5
  Swap 84 and -5
  List after swap: [-56, -98, 13, -27, -75, 56, -5, 84]

Pass 2:
  Compare -56 and -98
  Swap -56 and -98
  List after swap: [-98, -56, 13, -27, -75, 56, -5, 84]
  Compare -56 and 13
  No swap needed
  Compare 13 and -27
  Swap 13 and -27
  List after swap: [-98, -56, -27, 13, -75, 56, -5, 84]
  Compare 13 and -75
  Swap 13 and -75
  List after swap: [-98, -56, -27, -75, 13, 56, -5, 84]
  Compare 13 and 56
  No swap needed
  Compare 56 and -5
  Swap 56 and -5
  List after swap: [-98, -56, -27, -75, 13, -5, 56, 84]

Pass 3:
  Compare -98 and -56
  No swap needed
  Compare -56 and -27
  No swap needed
  Compare -27 and -75
  Swap -27 and -75
  List after swap: [-98, -56, -75, -27, 13, -5, 56, 84]
  Compare -27 and 13
  No swap needed
  Compare 13 and -5
  Swap 13 and -5
  List after swap: [-98, -56, -75, -27, -5, 13, 56, 84]

Pass 4:
  Compare -98 and -56
  No swap needed
  Compare -56 and -75
  Swap -56 and -75
  List after swap: [-98, -75, -56, -27, -5, 13, 56, 84]
  Compare -56 and -27
  No swap needed
  Compare -27 and -5
  No swap needed

Pass 5:
  Compare -98 and -75
  No swap needed
  Compare -75 and -56
  No swap needed
  Compare -56 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -75, -56, -27, -5, 13, 56, 84]
</think>

<response>-98, -75, -56, -27, -5, 13, 56, 84</response>


input: Use the bubble sort technique to reorder -89, 56, -72, -88, -62, 65, 55, -37 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-89, 56, -72, -88, -62, 65, 55, -37]

Pass 1:
  Compare -89 and 56
  No swap needed
  Compare 56 and -72
  Swap 56 and -72
  List after swap: [-89, -72, 56, -88, -62, 65, 55, -37]
  Compare 56 and -88
  Swap 56 and -88
  List after swap: [-89, -72, -88, 56, -62, 65, 55, -37]
  Compare 56 and -62
  Swap 56 and -62
  List after swap: [-89, -72, -88, -62, 56, 65, 55, -37]
  Compare 56 and 65
  No swap needed
  Compare 65 and 55
  Swap 65 and 55
  List after swap: [-89, -72, -88, -62, 56, 55, 65, -37]
  Compare 65 and -37
  Swap 65 and -37
  List after swap: [-89, -72, -88, -62, 56, 55, -37, 65]

Pass 2:
  Compare -89 and -72
  No swap needed
  Compare -72 and -88
  Swap -72 and -88
  List after swap: [-89, -88, -72, -62, 56, 55, -37, 65]
  Compare -72 and -62
  No swap needed
  Compare -62 and 56
  No swap needed
  Compare 56 and 55
  Swap 56 and 55
  List after swap: [-89, -88, -72, -62, 55, 56, -37, 65]
  Compare 56 and -37
  Swap 56 and -37
  List after swap: [-89, -88, -72, -62, 55, -37, 56, 65]

Pass 3:
  Compare -89 and -88
  No swap needed
  Compare -88 and -72
  No swap needed
  Compare -72 and -62
  No swap needed
  Compare -62 and 55
  No swap needed
  Compare 55 and -37
  Swap 55 and -37
  List after swap: [-89, -88, -72, -62, -37, 55, 56, 65]

Pass 4:
  Compare -89 and -88
  No swap needed
  Compare -88 and -72
  No swap needed
  Compare -72 and -62
  No swap needed
  Compare -62 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -88, -72, -62, -37, 55, 56, 65]
</think>

<response>-89, -88, -72, -62, -37, 55, 56, 65</response>


input: Implement bubble sort on -87, 45, 10 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-87, 45, 10]

Pass 1:
  Compare -87 and 45
  No swap needed
  Compare 45 and 10
  Swap 45 and 10
  List after swap: [-87, 10, 45]

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

Final sorted list: [-87, 10, 45]
</think>

<response>-87, 10, 45</response>


input: Perform a bubble sort on the integers -19, -58, -89, 17, 62, -33, -16, 88, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-19, -58, -89, 17, 62, -33, -16, 88]

Pass 1:
  Compare -19 and -58
  Swap -19 and -58
  List after swap: [-58, -19, -89, 17, 62, -33, -16, 88]
  Compare -19 and -89
  Swap -19 and -89
  List after swap: [-58, -89, -19, 17, 62, -33, -16, 88]
  Compare -19 and 17
  No swap needed
  Compare 17 and 62
  No swap needed
  Compare 62 and -33
  Swap 62 and -33
  List after swap: [-58, -89, -19, 17, -33, 62, -16, 88]
  Compare 62 and -16
  Swap 62 and -16
  List after swap: [-58, -89, -19, 17, -33, -16, 62, 88]
  Compare 62 and 88
  No swap needed

Pass 2:
  Compare -58 and -89
  Swap -58 and -89
  List after swap: [-89, -58, -19, 17, -33, -16, 62, 88]
  Compare -58 and -19
  No swap needed
  Compare -19 and 17
  No swap needed
  Compare 17 and -33
  Swap 17 and -33
  List after swap: [-89, -58, -19, -33, 17, -16, 62, 88]
  Compare 17 and -16
  Swap 17 and -16
  List after swap: [-89, -58, -19, -33, -16, 17, 62, 88]
  Compare 17 and 62
  No swap needed

Pass 3:
  Compare -89 and -58
  No swap needed
  Compare -58 and -19
  No swap needed
  Compare -19 and -33
  Swap -19 and -33
  List after swap: [-89, -58, -33, -19, -16, 17, 62, 88]
  Compare -19 and -16
  No swap needed
  Compare -16 and 17
  No swap needed

Pass 4:
  Compare -89 and -58
  No swap needed
  Compare -58 and -33
  No swap needed
  Compare -33 and -19
  No swap needed
  Compare -19 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -58, -33, -19, -16, 17, 62, 88]
</think>

<response>-89, -58, -33, -19, -16, 17, 62, 88</response>


input: Execute bubble sort to sort -64, 59, 36, -82, -1, -4, 40, -65, -74 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-64, 59, 36, -82, -1, -4, 40, -65, -74]

Pass 1:
  Compare -64 and 59
  No swap needed
  Compare 59 and 36
  Swap 59 and 36
  List after swap: [-64, 36, 59, -82, -1, -4, 40, -65, -74]
  Compare 59 and -82
  Swap 59 and -82
  List after swap: [-64, 36, -82, 59, -1, -4, 40, -65, -74]
  Compare 59 and -1
  Swap 59 and -1
  List after swap: [-64, 36, -82, -1, 59, -4, 40, -65, -74]
  Compare 59 and -4
  Swap 59 and -4
  List after swap: [-64, 36, -82, -1, -4, 59, 40, -65, -74]
  Compare 59 and 40
  Swap 59 and 40
  List after swap: [-64, 36, -82, -1, -4, 40, 59, -65, -74]
  Compare 59 and -65
  Swap 59 and -65
  List after swap: [-64, 36, -82, -1, -4, 40, -65, 59, -74]
  Compare 59 and -74
  Swap 59 and -74
  List after swap: [-64, 36, -82, -1, -4, 40, -65, -74, 59]

Pass 2:
  Compare -64 and 36
  No swap needed
  Compare 36 and -82
  Swap 36 and -82
  List after swap: [-64, -82, 36, -1, -4, 40, -65, -74, 59]
  Compare 36 and -1
  Swap 36 and -1
  List after swap: [-64, -82, -1, 36, -4, 40, -65, -74, 59]
  Compare 36 and -4
  Swap 36 and -4
  List after swap: [-64, -82, -1, -4, 36, 40, -65, -74, 59]
  Compare 36 and 40
  No swap needed
  Compare 40 and -65
  Swap 40 and -65
  List after swap: [-64, -82, -1, -4, 36, -65, 40, -74, 59]
  Compare 40 and -74
  Swap 40 and -74
  List after swap: [-64, -82, -1, -4, 36, -65, -74, 40, 59]

Pass 3:
  Compare -64 and -82
  Swap -64 and -82
  List after swap: [-82, -64, -1, -4, 36, -65, -74, 40, 59]
  Compare -64 and -1
  No swap needed
  Compare -1 and -4
  Swap -1 and -4
  List after swap: [-82, -64, -4, -1, 36, -65, -74, 40, 59]
  Compare -1 and 36
  No swap needed
  Compare 36 and -65
  Swap 36 and -65
  List after swap: [-82, -64, -4, -1, -65, 36, -74, 40, 59]
  Compare 36 and -74
  Swap 36 and -74
  List after swap: [-82, -64, -4, -1, -65, -74, 36, 40, 59]

Pass 4:
  Compare -82 and -64
  No swap needed
  Compare -64 and -4
  No swap needed
  Compare -4 and -1
  No swap needed
  Compare -1 and -65
  Swap -1 and -65
  List after swap: [-82, -64, -4, -65, -1, -74, 36, 40, 59]
  Compare -1 and -74
  Swap -1 and -74
  List after swap: [-82, -64, -4, -65, -74, -1, 36, 40, 59]

Pass 5:
  Compare -82 and -64
  No swap needed
  Compare -64 and -4
  No swap needed
  Compare -4 and -65
  Swap -4 and -65
  List after swap: [-82, -64, -65, -4, -74, -1, 36, 40, 59]
  Compare -4 and -74
  Swap -4 and -74
  List after swap: [-82, -64, -65, -74, -4, -1, 36, 40, 59]

Pass 6:
  Compare -82 and -64
  No swap needed
  Compare -64 and -65
  Swap -64 and -65
  List after swap: [-82, -65, -64, -74, -4, -1, 36, 40, 59]
  Compare -64 and -74
  Swap -64 and -74
  List after swap: [-82, -65, -74, -64, -4, -1, 36, 40, 59]

Pass 7:
  Compare -82 and -65
  No swap needed
  Compare -65 and -74
  Swap -65 and -74
  List after swap: [-82, -74, -65, -64, -4, -1, 36, 40, 59]

Pass 8:
  Compare -82 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -74, -65, -64, -4, -1, 36, 40, 59]
</think>

<response>-82, -74, -65, -64, -4, -1, 36, 40, 59</response>


input: Carry out the bubble sort algorithm on 47, 88, -32 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [47, 88, -32]

Pass 1:
  Compare 47 and 88
  No swap needed
  Compare 88 and -32
  Swap 88 and -32
  List after swap: [47, -32, 88]

Pass 2:
  Compare 47 and -32
  Swap 47 and -32
  List after swap: [-32, 47, 88]

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

Final sorted list: [-32, 47, 88]
</think>

<response>-32, 47, 88</response>


input: Demonstrate how bubble sort orders the integers -46, 58, -15, -56 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-46, 58, -15, -56]

Pass 1:
  Compare -46 and 58
  No swap needed
  Compare 58 and -15
  Swap 58 and -15
  List after swap: [-46, -15, 58, -56]
  Compare 58 and -56
  Swap 58 and -56
  List after swap: [-46, -15, -56, 58]

Pass 2:
  Compare -46 and -15
  No swap needed
  Compare -15 and -56
  Swap -15 and -56
  List after swap: [-46, -56, -15, 58]

Pass 3:
  Compare -46 and -56
  Swap -46 and -56
  List after swap: [-56, -46, -15, 58]

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

Final sorted list: [-56, -46, -15, 58]
</think>

<response>-56, -46, -15, 58</response>


input: Demonstrate how bubble sort orders the integers 95, -4, -70 in ascending sequence, showing all steps.

output:
<think>
Initial list: [95, -4, -70]

Pass 1:
  Compare 95 and -4
  Swap 95 and -4
  List after swap: [-4, 95, -70]
  Compare 95 and -70
  Swap 95 and -70
  List after swap: [-4, -70, 95]

Pass 2:
  Compare -4 and -70
  Swap -4 and -70
  List after swap: [-70, -4, 95]

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

Final sorted list: [-70, -4, 95]
</think>

<response>-70, -4, 95</response>


input: Perform a bubble sort on the integers -3, -31, -42, -98, 2, -76, -49, 24, 10, -68, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-3, -31, -42, -98, 2, -76, -49, 24, 10, -68]

Pass 1:
  Compare -3 and -31
  Swap -3 and -31
  List after swap: [-31, -3, -42, -98, 2, -76, -49, 24, 10, -68]
  Compare -3 and -42
  Swap -3 and -42
  List after swap: [-31, -42, -3, -98, 2, -76, -49, 24, 10, -68]
  Compare -3 and -98
  Swap -3 and -98
  List after swap: [-31, -42, -98, -3, 2, -76, -49, 24, 10, -68]
  Compare -3 and 2
  No swap needed
  Compare 2 and -76
  Swap 2 and -76
  List after swap: [-31, -42, -98, -3, -76, 2, -49, 24, 10, -68]
  Compare 2 and -49
  Swap 2 and -49
  List after swap: [-31, -42, -98, -3, -76, -49, 2, 24, 10, -68]
  Compare 2 and 24
  No swap needed
  Compare 24 and 10
  Swap 24 and 10
  List after swap: [-31, -42, -98, -3, -76, -49, 2, 10, 24, -68]
  Compare 24 and -68
  Swap 24 and -68
  List after swap: [-31, -42, -98, -3, -76, -49, 2, 10, -68, 24]

Pass 2:
  Compare -31 and -42
  Swap -31 and -42
  List after swap: [-42, -31, -98, -3, -76, -49, 2, 10, -68, 24]
  Compare -31 and -98
  Swap -31 and -98
  List after swap: [-42, -98, -31, -3, -76, -49, 2, 10, -68, 24]
  Compare -31 and -3
  No swap needed
  Compare -3 and -76
  Swap -3 and -76
  List after swap: [-42, -98, -31, -76, -3, -49, 2, 10, -68, 24]
  Compare -3 and -49
  Swap -3 and -49
  List after swap: [-42, -98, -31, -76, -49, -3, 2, 10, -68, 24]
  Compare -3 and 2
  No swap needed
  Compare 2 and 10
  No swap needed
  Compare 10 and -68
  Swap 10 and -68
  List after swap: [-42, -98, -31, -76, -49, -3, 2, -68, 10, 24]

Pass 3:
  Compare -42 and -98
  Swap -42 and -98
  List after swap: [-98, -42, -31, -76, -49, -3, 2, -68, 10, 24]
  Compare -42 and -31
  No swap needed
  Compare -31 and -76
  Swap -31 and -76
  List after swap: [-98, -42, -76, -31, -49, -3, 2, -68, 10, 24]
  Compare -31 and -49
  Swap -31 and -49
  List after swap: [-98, -42, -76, -49, -31, -3, 2, -68, 10, 24]
  Compare -31 and -3
  No swap needed
  Compare -3 and 2
  No swap needed
  Compare 2 and -68
  Swap 2 and -68
  List after swap: [-98, -42, -76, -49, -31, -3, -68, 2, 10, 24]

Pass 4:
  Compare -98 and -42
  No swap needed
  Compare -42 and -76
  Swap -42 and -76
  List after swap: [-98, -76, -42, -49, -31, -3, -68, 2, 10, 24]
  Compare -42 and -49
  Swap -42 and -49
  List after swap: [-98, -76, -49, -42, -31, -3, -68, 2, 10, 24]
  Compare -42 and -31
  No swap needed
  Compare -31 and -3
  No swap needed
  Compare -3 and -68
  Swap -3 and -68
  List after swap: [-98, -76, -49, -42, -31, -68, -3, 2, 10, 24]

Pass 5:
  Compare -98 and -76
  No swap needed
  Compare -76 and -49
  No swap needed
  Compare -49 and -42
  No swap needed
  Compare -42 and -31
  No swap needed
  Compare -31 and -68
  Swap -31 and -68
  List after swap: [-98, -76, -49, -42, -68, -31, -3, 2, 10, 24]

Pass 6:
  Compare -98 and -76
  No swap needed
  Compare -76 and -49
  No swap needed
  Compare -49 and -42
  No swap needed
  Compare -42 and -68
  Swap -42 and -68
  List after swap: [-98, -76, -49, -68, -42, -31, -3, 2, 10, 24]

Pass 7:
  Compare -98 and -76
  No swap needed
  Compare -76 and -49
  No swap needed
  Compare -49 and -68
  Swap -49 and -68
  List after swap: [-98, -76, -68, -49, -42, -31, -3, 2, 10, 24]

Pass 8:
  Compare -98 and -76
  No swap needed
  Compare -76 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -76, -68, -49, -42, -31, -3, 2, 10, 24]
</think>

<response>-98, -76, -68, -49, -42, -31, -3, 2, 10, 24</response>


input: Use the bubble sort technique to reorder 56, -70 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [56, -70]

Pass 1:
  Compare 56 and -70
  Swap 56 and -70
  List after swap: [-70, 56]

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

Final sorted list: [-70, 56]
</think>

<response>-70, 56</response>


input: Using the bubble sort method, sort -19, 61, -100, -43, -78, -35, -5, 86, 69 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-19, 61, -100, -43, -78, -35, -5, 86, 69]

Pass 1:
  Compare -19 and 61
  No swap needed
  Compare 61 and -100
  Swap 61 and -100
  List after swap: [-19, -100, 61, -43, -78, -35, -5, 86, 69]
  Compare 61 and -43
  Swap 61 and -43
  List after swap: [-19, -100, -43, 61, -78, -35, -5, 86, 69]
  Compare 61 and -78
  Swap 61 and -78
  List after swap: [-19, -100, -43, -78, 61, -35, -5, 86, 69]
  Compare 61 and -35
  Swap 61 and -35
  List after swap: [-19, -100, -43, -78, -35, 61, -5, 86, 69]
  Compare 61 and -5
  Swap 61 and -5
  List after swap: [-19, -100, -43, -78, -35, -5, 61, 86, 69]
  Compare 61 and 86
  No swap needed
  Compare 86 and 69
  Swap 86 and 69
  List after swap: [-19, -100, -43, -78, -35, -5, 61, 69, 86]

Pass 2:
  Compare -19 and -100
  Swap -19 and -100
  List after swap: [-100, -19, -43, -78, -35, -5, 61, 69, 86]
  Compare -19 and -43
  Swap -19 and -43
  List after swap: [-100, -43, -19, -78, -35, -5, 61, 69, 86]
  Compare -19 and -78
  Swap -19 and -78
  List after swap: [-100, -43, -78, -19, -35, -5, 61, 69, 86]
  Compare -19 and -35
  Swap -19 and -35
  List after swap: [-100, -43, -78, -35, -19, -5, 61, 69, 86]
  Compare -19 and -5
  No swap needed
  Compare -5 and 61
  No swap needed
  Compare 61 and 69
  No swap needed

Pass 3:
  Compare -100 and -43
  No swap needed
  Compare -43 and -78
  Swap -43 and -78
  List after swap: [-100, -78, -43, -35, -19, -5, 61, 69, 86]
  Compare -43 and -35
  No swap needed
  Compare -35 and -19
  No swap needed
  Compare -19 and -5
  No swap needed
  Compare -5 and 61
  No swap needed

Pass 4:
  Compare -100 and -78
  No swap needed
  Compare -78 and -43
  No swap needed
  Compare -43 and -35
  No swap needed
  Compare -35 and -19
  No swap needed
  Compare -19 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -78, -43, -35, -19, -5, 61, 69, 86]
</think>

<response>-100, -78, -43, -35, -19, -5, 61, 69, 86</response>


input: Implement bubble sort on 92, -90, 59, 41, 95, -98, -76, 33 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [92, -90, 59, 41, 95, -98, -76, 33]

Pass 1:
  Compare 92 and -90
  Swap 92 and -90
  List after swap: [-90, 92, 59, 41, 95, -98, -76, 33]
  Compare 92 and 59
  Swap 92 and 59
  List after swap: [-90, 59, 92, 41, 95, -98, -76, 33]
  Compare 92 and 41
  Swap 92 and 41
  List after swap: [-90, 59, 41, 92, 95, -98, -76, 33]
  Compare 92 and 95
  No swap needed
  Compare 95 and -98
  Swap 95 and -98
  List after swap: [-90, 59, 41, 92, -98, 95, -76, 33]
  Compare 95 and -76
  Swap 95 and -76
  List after swap: [-90, 59, 41, 92, -98, -76, 95, 33]
  Compare 95 and 33
  Swap 95 and 33
  List after swap: [-90, 59, 41, 92, -98, -76, 33, 95]

Pass 2:
  Compare -90 and 59
  No swap needed
  Compare 59 and 41
  Swap 59 and 41
  List after swap: [-90, 41, 59, 92, -98, -76, 33, 95]
  Compare 59 and 92
  No swap needed
  Compare 92 and -98
  Swap 92 and -98
  List after swap: [-90, 41, 59, -98, 92, -76, 33, 95]
  Compare 92 and -76
  Swap 92 and -76
  List after swap: [-90, 41, 59, -98, -76, 92, 33, 95]
  Compare 92 and 33
  Swap 92 and 33
  List after swap: [-90, 41, 59, -98, -76, 33, 92, 95]

Pass 3:
  Compare -90 and 41
  No swap needed
  Compare 41 and 59
  No swap needed
  Compare 59 and -98
  Swap 59 and -98
  List after swap: [-90, 41, -98, 59, -76, 33, 92, 95]
  Compare 59 and -76
  Swap 59 and -76
  List after swap: [-90, 41, -98, -76, 59, 33, 92, 95]
  Compare 59 and 33
  Swap 59 and 33
  List after swap: [-90, 41, -98, -76, 33, 59, 92, 95]

Pass 4:
  Compare -90 and 41
  No swap needed
  Compare 41 and -98
  Swap 41 and -98
  List after swap: [-90, -98, 41, -76, 33, 59, 92, 95]
  Compare 41 and -76
  Swap 41 and -76
  List after swap: [-90, -98, -76, 41, 33, 59, 92, 95]
  Compare 41 and 33
  Swap 41 and 33
  List after swap: [-90, -98, -76, 33, 41, 59, 92, 95]

Pass 5:
  Compare -90 and -98
  Swap -90 and -98
  List after swap: [-98, -90, -76, 33, 41, 59, 92, 95]
  Compare -90 and -76
  No swap needed
  Compare -76 and 33
  No swap needed

Pass 6:
  Compare -98 and -90
  No swap needed
  Compare -90 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -90, -76, 33, 41, 59, 92, 95]
</think>

<response>-98, -90, -76, 33, 41, 59, 92, 95</response>


input: Perform a bubble sort on the integers -31, 58, 79, -75, -60, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-31, 58, 79, -75, -60]

Pass 1:
  Compare -31 and 58
  No swap needed
  Compare 58 and 79
  No swap needed
  Compare 79 and -75
  Swap 79 and -75
  List after swap: [-31, 58, -75, 79, -60]
  Compare 79 and -60
  Swap 79 and -60
  List after swap: [-31, 58, -75, -60, 79]

Pass 2:
  Compare -31 and 58
  No swap needed
  Compare 58 and -75
  Swap 58 and -75
  List after swap: [-31, -75, 58, -60, 79]
  Compare 58 and -60
  Swap 58 and -60
  List after swap: [-31, -75, -60, 58, 79]

Pass 3:
  Compare -31 and -75
  Swap -31 and -75
  List after swap: [-75, -31, -60, 58, 79]
  Compare -31 and -60
  Swap -31 and -60
  List after swap: [-75, -60, -31, 58, 79]

Pass 4:
  Compare -75 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -60, -31, 58, 79]
</think>

<response>-75, -60, -31, 58, 79</response>


input: Arrange the numbers -1, -37, 29 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-1, -37, 29]

Pass 1:
  Compare -1 and -37
  Swap -1 and -37
  List after swap: [-37, -1, 29]
  Compare -1 and 29
  No swap needed

Pass 2:
  Compare -37 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -1, 29]
</think>

<response>-37, -1, 29</response>


input: Arrange the numbers -70, -52, -3, -88, -14, 31, -61 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-70, -52, -3, -88, -14, 31, -61]

Pass 1:
  Compare -70 and -52
  No swap needed
  Compare -52 and -3
  No swap needed
  Compare -3 and -88
  Swap -3 and -88
  List after swap: [-70, -52, -88, -3, -14, 31, -61]
  Compare -3 and -14
  Swap -3 and -14
  List after swap: [-70, -52, -88, -14, -3, 31, -61]
  Compare -3 and 31
  No swap needed
  Compare 31 and -61
  Swap 31 and -61
  List after swap: [-70, -52, -88, -14, -3, -61, 31]

Pass 2:
  Compare -70 and -52
  No swap needed
  Compare -52 and -88
  Swap -52 and -88
  List after swap: [-70, -88, -52, -14, -3, -61, 31]
  Compare -52 and -14
  No swap needed
  Compare -14 and -3
  No swap needed
  Compare -3 and -61
  Swap -3 and -61
  List after swap: [-70, -88, -52, -14, -61, -3, 31]

Pass 3:
  Compare -70 and -88
  Swap -70 and -88
  List after swap: [-88, -70, -52, -14, -61, -3, 31]
  Compare -70 and -52
  No swap needed
  Compare -52 and -14
  No swap needed
  Compare -14 and -61
  Swap -14 and -61
  List after swap: [-88, -70, -52, -61, -14, -3, 31]

Pass 4:
  Compare -88 and -70
  No swap needed
  Compare -70 and -52
  No swap needed
  Compare -52 and -61
  Swap -52 and -61
  List after swap: [-88, -70, -61, -52, -14, -3, 31]

Pass 5:
  Compare -88 and -70
  No swap needed
  Compare -70 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -70, -61, -52, -14, -3, 31]
</think>

<response>-88, -70, -61, -52, -14, -3, 31</response>


input: Implement bubble sort on -85, 16, 37, 7 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-85, 16, 37, 7]

Pass 1:
  Compare -85 and 16
  No swap needed
  Compare 16 and 37
  No swap needed
  Compare 37 and 7
  Swap 37 and 7
  List after swap: [-85, 16, 7, 37]

Pass 2:
  Compare -85 and 16
  No swap needed
  Compare 16 and 7
  Swap 16 and 7
  List after swap: [-85, 7, 16, 37]

Pass 3:
  Compare -85 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, 7, 16, 37]
</think>

<response>-85, 7, 16, 37</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 3, 78, -84, 90, 10, -59, -77, 17, 82, 92.

output:
<think>
Initial list: [3, 78, -84, 90, 10, -59, -77, 17, 82, 92]

Pass 1:
  Compare 3 and 78
  No swap needed
  Compare 78 and -84
  Swap 78 and -84
  List after swap: [3, -84, 78, 90, 10, -59, -77, 17, 82, 92]
  Compare 78 and 90
  No swap needed
  Compare 90 and 10
  Swap 90 and 10
  List after swap: [3, -84, 78, 10, 90, -59, -77, 17, 82, 92]
  Compare 90 and -59
  Swap 90 and -59
  List after swap: [3, -84, 78, 10, -59, 90, -77, 17, 82, 92]
  Compare 90 and -77
  Swap 90 and -77
  List after swap: [3, -84, 78, 10, -59, -77, 90, 17, 82, 92]
  Compare 90 and 17
  Swap 90 and 17
  List after swap: [3, -84, 78, 10, -59, -77, 17, 90, 82, 92]
  Compare 90 and 82
  Swap 90 and 82
  List after swap: [3, -84, 78, 10, -59, -77, 17, 82, 90, 92]
  Compare 90 and 92
  No swap needed

Pass 2:
  Compare 3 and -84
  Swap 3 and -84
  List after swap: [-84, 3, 78, 10, -59, -77, 17, 82, 90, 92]
  Compare 3 and 78
  No swap needed
  Compare 78 and 10
  Swap 78 and 10
  List after swap: [-84, 3, 10, 78, -59, -77, 17, 82, 90, 92]
  Compare 78 and -59
  Swap 78 and -59
  List after swap: [-84, 3, 10, -59, 78, -77, 17, 82, 90, 92]
  Compare 78 and -77
  Swap 78 and -77
  List after swap: [-84, 3, 10, -59, -77, 78, 17, 82, 90, 92]
  Compare 78 and 17
  Swap 78 and 17
  List after swap: [-84, 3, 10, -59, -77, 17, 78, 82, 90, 92]
  Compare 78 and 82
  No swap needed
  Compare 82 and 90
  No swap needed

Pass 3:
  Compare -84 and 3
  No swap needed
  Compare 3 and 10
  No swap needed
  Compare 10 and -59
  Swap 10 and -59
  List after swap: [-84, 3, -59, 10, -77, 17, 78, 82, 90, 92]
  Compare 10 and -77
  Swap 10 and -77
  List after swap: [-84, 3, -59, -77, 10, 17, 78, 82, 90, 92]
  Compare 10 and 17
  No swap needed
  Compare 17 and 78
  No swap needed
  Compare 78 and 82
  No swap needed

Pass 4:
  Compare -84 and 3
  No swap needed
  Compare 3 and -59
  Swap 3 and -59
  List after swap: [-84, -59, 3, -77, 10, 17, 78, 82, 90, 92]
  Compare 3 and -77
  Swap 3 and -77
  List after swap: [-84, -59, -77, 3, 10, 17, 78, 82, 90, 92]
  Compare 3 and 10
  No swap needed
  Compare 10 and 17
  No swap needed
  Compare 17 and 78
  No swap needed

Pass 5:
  Compare -84 and -59
  No swap needed
  Compare -59 and -77
  Swap -59 and -77
  List after swap: [-84, -77, -59, 3, 10, 17, 78, 82, 90, 92]
  Compare -59 and 3
  No swap needed
  Compare 3 and 10
  No swap needed
  Compare 10 and 17
  No swap needed

Pass 6:
  Compare -84 and -77
  No swap needed
  Compare -77 and -59
  No swap needed
  Compare -59 and 3
  No swap needed
  Compare 3 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -77, -59, 3, 10, 17, 78, 82, 90, 92]
</think>

<response>-84, -77, -59, 3, 10, 17, 78, 82, 90, 92</response>


input: Execute bubble sort to sort 96, -32, 1, -54, -3, 43, 78, 34, -61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [96, -32, 1, -54, -3, 43, 78, 34, -61]

Pass 1:
  Compare 96 and -32
  Swap 96 and -32
  List after swap: [-32, 96, 1, -54, -3, 43, 78, 34, -61]
  Compare 96 and 1
  Swap 96 and 1
  List after swap: [-32, 1, 96, -54, -3, 43, 78, 34, -61]
  Compare 96 and -54
  Swap 96 and -54
  List after swap: [-32, 1, -54, 96, -3, 43, 78, 34, -61]
  Compare 96 and -3
  Swap 96 and -3
  List after swap: [-32, 1, -54, -3, 96, 43, 78, 34, -61]
  Compare 96 and 43
  Swap 96 and 43
  List after swap: [-32, 1, -54, -3, 43, 96, 78, 34, -61]
  Compare 96 and 78
  Swap 96 and 78
  List after swap: [-32, 1, -54, -3, 43, 78, 96, 34, -61]
  Compare 96 and 34
  Swap 96 and 34
  List after swap: [-32, 1, -54, -3, 43, 78, 34, 96, -61]
  Compare 96 and -61
  Swap 96 and -61
  List after swap: [-32, 1, -54, -3, 43, 78, 34, -61, 96]

Pass 2:
  Compare -32 and 1
  No swap needed
  Compare 1 and -54
  Swap 1 and -54
  List after swap: [-32, -54, 1, -3, 43, 78, 34, -61, 96]
  Compare 1 and -3
  Swap 1 and -3
  List after swap: [-32, -54, -3, 1, 43, 78, 34, -61, 96]
  Compare 1 and 43
  No swap needed
  Compare 43 and 78
  No swap needed
  Compare 78 and 34
  Swap 78 and 34
  List after swap: [-32, -54, -3, 1, 43, 34, 78, -61, 96]
  Compare 78 and -61
  Swap 78 and -61
  List after swap: [-32, -54, -3, 1, 43, 34, -61, 78, 96]

Pass 3:
  Compare -32 and -54
  Swap -32 and -54
  List after swap: [-54, -32, -3, 1, 43, 34, -61, 78, 96]
  Compare -32 and -3
  No swap needed
  Compare -3 and 1
  No swap needed
  Compare 1 and 43
  No swap needed
  Compare 43 and 34
  Swap 43 and 34
  List after swap: [-54, -32, -3, 1, 34, 43, -61, 78, 96]
  Compare 43 and -61
  Swap 43 and -61
  List after swap: [-54, -32, -3, 1, 34, -61, 43, 78, 96]

Pass 4:
  Compare -54 and -32
  No swap needed
  Compare -32 and -3
  No swap needed
  Compare -3 and 1
  No swap needed
  Compare 1 and 34
  No swap needed
  Compare 34 and -61
  Swap 34 and -61
  List after swap: [-54, -32, -3, 1, -61, 34, 43, 78, 96]

Pass 5:
  Compare -54 and -32
  No swap needed
  Compare -32 and -3
  No swap needed
  Compare -3 and 1
  No swap needed
  Compare 1 and -61
  Swap 1 and -61
  List after swap: [-54, -32, -3, -61, 1, 34, 43, 78, 96]

Pass 6:
  Compare -54 and -32
  No swap needed
  Compare -32 and -3
  No swap needed
  Compare -3 and -61
  Swap -3 and -61
  List after swap: [-54, -32, -61, -3, 1, 34, 43, 78, 96]

Pass 7:
  Compare -54 and -32
  No swap needed
  Compare -32 and -61
  Swap -32 and -61
  List after swap: [-54, -61, -32, -3, 1, 34, 43, 78, 96]

Pass 8:
  Compare -54 and -61
  Swap -54 and -61
  List after swap: [-61, -54, -32, -3, 1, 34, 43, 78, 96]

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

Final sorted list: [-61, -54, -32, -3, 1, 34, 43, 78, 96]
</think>

<response>-61, -54, -32, -3, 1, 34, 43, 78, 96</response>


input: Sort these integers 51, 55, -99 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [51, 55, -99]

Pass 1:
  Compare 51 and 55
  No swap needed
  Compare 55 and -99
  Swap 55 and -99
  List after swap: [51, -99, 55]

Pass 2:
  Compare 51 and -99
  Swap 51 and -99
  List after swap: [-99, 51, 55]

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

Final sorted list: [-99, 51, 55]
</think>

<response>-99, 51, 55</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -91, -24, 53, 33, -35, 34, -6, 47, 40.

output:
<think>
Initial list: [-91, -24, 53, 33, -35, 34, -6, 47, 40]

Pass 1:
  Compare -91 and -24
  No swap needed
  Compare -24 and 53
  No swap needed
  Compare 53 and 33
  Swap 53 and 33
  List after swap: [-91, -24, 33, 53, -35, 34, -6, 47, 40]
  Compare 53 and -35
  Swap 53 and -35
  List after swap: [-91, -24, 33, -35, 53, 34, -6, 47, 40]
  Compare 53 and 34
  Swap 53 and 34
  List after swap: [-91, -24, 33, -35, 34, 53, -6, 47, 40]
  Compare 53 and -6
  Swap 53 and -6
  List after swap: [-91, -24, 33, -35, 34, -6, 53, 47, 40]
  Compare 53 and 47
  Swap 53 and 47
  List after swap: [-91, -24, 33, -35, 34, -6, 47, 53, 40]
  Compare 53 and 40
  Swap 53 and 40
  List after swap: [-91, -24, 33, -35, 34, -6, 47, 40, 53]

Pass 2:
  Compare -91 and -24
  No swap needed
  Compare -24 and 33
  No swap needed
  Compare 33 and -35
  Swap 33 and -35
  List after swap: [-91, -24, -35, 33, 34, -6, 47, 40, 53]
  Compare 33 and 34
  No swap needed
  Compare 34 and -6
  Swap 34 and -6
  List after swap: [-91, -24, -35, 33, -6, 34, 47, 40, 53]
  Compare 34 and 47
  No swap needed
  Compare 47 and 40
  Swap 47 and 40
  List after swap: [-91, -24, -35, 33, -6, 34, 40, 47, 53]

Pass 3:
  Compare -91 and -24
  No swap needed
  Compare -24 and -35
  Swap -24 and -35
  List after swap: [-91, -35, -24, 33, -6, 34, 40, 47, 53]
  Compare -24 and 33
  No swap needed
  Compare 33 and -6
  Swap 33 and -6
  List after swap: [-91, -35, -24, -6, 33, 34, 40, 47, 53]
  Compare 33 and 34
  No swap needed
  Compare 34 and 40
  No swap needed

Pass 4:
  Compare -91 and -35
  No swap needed
  Compare -35 and -24
  No swap needed
  Compare -24 and -6
  No swap needed
  Compare -6 and 33
  No swap needed
  Compare 33 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -35, -24, -6, 33, 34, 40, 47, 53]
</think>

<response>-91, -35, -24, -6, 33, 34, 40, 47, 53</response>


input: Execute bubble sort to sort 77, 16, -29, -92, 55, -62, 71, -59 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [77, 16, -29, -92, 55, -62, 71, -59]

Pass 1:
  Compare 77 and 16
  Swap 77 and 16
  List after swap: [16, 77, -29, -92, 55, -62, 71, -59]
  Compare 77 and -29
  Swap 77 and -29
  List after swap: [16, -29, 77, -92, 55, -62, 71, -59]
  Compare 77 and -92
  Swap 77 and -92
  List after swap: [16, -29, -92, 77, 55, -62, 71, -59]
  Compare 77 and 55
  Swap 77 and 55
  List after swap: [16, -29, -92, 55, 77, -62, 71, -59]
  Compare 77 and -62
  Swap 77 and -62
  List after swap: [16, -29, -92, 55, -62, 77, 71, -59]
  Compare 77 and 71
  Swap 77 and 71
  List after swap: [16, -29, -92, 55, -62, 71, 77, -59]
  Compare 77 and -59
  Swap 77 and -59
  List after swap: [16, -29, -92, 55, -62, 71, -59, 77]

Pass 2:
  Compare 16 and -29
  Swap 16 and -29
  List after swap: [-29, 16, -92, 55, -62, 71, -59, 77]
  Compare 16 and -92
  Swap 16 and -92
  List after swap: [-29, -92, 16, 55, -62, 71, -59, 77]
  Compare 16 and 55
  No swap needed
  Compare 55 and -62
  Swap 55 and -62
  List after swap: [-29, -92, 16, -62, 55, 71, -59, 77]
  Compare 55 and 71
  No swap needed
  Compare 71 and -59
  Swap 71 and -59
  List after swap: [-29, -92, 16, -62, 55, -59, 71, 77]

Pass 3:
  Compare -29 and -92
  Swap -29 and -92
  List after swap: [-92, -29, 16, -62, 55, -59, 71, 77]
  Compare -29 and 16
  No swap needed
  Compare 16 and -62
  Swap 16 and -62
  List after swap: [-92, -29, -62, 16, 55, -59, 71, 77]
  Compare 16 and 55
  No swap needed
  Compare 55 and -59
  Swap 55 and -59
  List after swap: [-92, -29, -62, 16, -59, 55, 71, 77]

Pass 4:
  Compare -92 and -29
  No swap needed
  Compare -29 and -62
  Swap -29 and -62
  List after swap: [-92, -62, -29, 16, -59, 55, 71, 77]
  Compare -29 and 16
  No swap needed
  Compare 16 and -59
  Swap 16 and -59
  List after swap: [-92, -62, -29, -59, 16, 55, 71, 77]

Pass 5:
  Compare -92 and -62
  No swap needed
  Compare -62 and -29
  No swap needed
  Compare -29 and -59
  Swap -29 and -59
  List after swap: [-92, -62, -59, -29, 16, 55, 71, 77]

Pass 6:
  Compare -92 and -62
  No swap needed
  Compare -62 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -62, -59, -29, 16, 55, 71, 77]
</think>

<response>-92, -62, -59, -29, 16, 55, 71, 77</response>


input: Arrange the numbers -95, 1, 55, -15, 62, -92, 19, -52, -71, -73 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-95, 1, 55, -15, 62, -92, 19, -52, -71, -73]

Pass 1:
  Compare -95 and 1
  No swap needed
  Compare 1 and 55
  No swap needed
  Compare 55 and -15
  Swap 55 and -15
  List after swap: [-95, 1, -15, 55, 62, -92, 19, -52, -71, -73]
  Compare 55 and 62
  No swap needed
  Compare 62 and -92
  Swap 62 and -92
  List after swap: [-95, 1, -15, 55, -92, 62, 19, -52, -71, -73]
  Compare 62 and 19
  Swap 62 and 19
  List after swap: [-95, 1, -15, 55, -92, 19, 62, -52, -71, -73]
  Compare 62 and -52
  Swap 62 and -52
  List after swap: [-95, 1, -15, 55, -92, 19, -52, 62, -71, -73]
  Compare 62 and -71
  Swap 62 and -71
  List after swap: [-95, 1, -15, 55, -92, 19, -52, -71, 62, -73]
  Compare 62 and -73
  Swap 62 and -73
  List after swap: [-95, 1, -15, 55, -92, 19, -52, -71, -73, 62]

Pass 2:
  Compare -95 and 1
  No swap needed
  Compare 1 and -15
  Swap 1 and -15
  List after swap: [-95, -15, 1, 55, -92, 19, -52, -71, -73, 62]
  Compare 1 and 55
  No swap needed
  Compare 55 and -92
  Swap 55 and -92
  List after swap: [-95, -15, 1, -92, 55, 19, -52, -71, -73, 62]
  Compare 55 and 19
  Swap 55 and 19
  List after swap: [-95, -15, 1, -92, 19, 55, -52, -71, -73, 62]
  Compare 55 and -52
  Swap 55 and -52
  List after swap: [-95, -15, 1, -92, 19, -52, 55, -71, -73, 62]
  Compare 55 and -71
  Swap 55 and -71
  List after swap: [-95, -15, 1, -92, 19, -52, -71, 55, -73, 62]
  Compare 55 and -73
  Swap 55 and -73
  List after swap: [-95, -15, 1, -92, 19, -52, -71, -73, 55, 62]

Pass 3:
  Compare -95 and -15
  No swap needed
  Compare -15 and 1
  No swap needed
  Compare 1 and -92
  Swap 1 and -92
  List after swap: [-95, -15, -92, 1, 19, -52, -71, -73, 55, 62]
  Compare 1 and 19
  No swap needed
  Compare 19 and -52
  Swap 19 and -52
  List after swap: [-95, -15, -92, 1, -52, 19, -71, -73, 55, 62]
  Compare 19 and -71
  Swap 19 and -71
  List after swap: [-95, -15, -92, 1, -52, -71, 19, -73, 55, 62]
  Compare 19 and -73
  Swap 19 and -73
  List after swap: [-95, -15, -92, 1, -52, -71, -73, 19, 55, 62]

Pass 4:
  Compare -95 and -15
  No swap needed
  Compare -15 and -92
  Swap -15 and -92
  List after swap: [-95, -92, -15, 1, -52, -71, -73, 19, 55, 62]
  Compare -15 and 1
  No swap needed
  Compare 1 and -52
  Swap 1 and -52
  List after swap: [-95, -92, -15, -52, 1, -71, -73, 19, 55, 62]
  Compare 1 and -71
  Swap 1 and -71
  List after swap: [-95, -92, -15, -52, -71, 1, -73, 19, 55, 62]
  Compare 1 and -73
  Swap 1 and -73
  List after swap: [-95, -92, -15, -52, -71, -73, 1, 19, 55, 62]

Pass 5:
  Compare -95 and -92
  No swap needed
  Compare -92 and -15
  No swap needed
  Compare -15 and -52
  Swap -15 and -52
  List after swap: [-95, -92, -52, -15, -71, -73, 1, 19, 55, 62]
  Compare -15 and -71
  Swap -15 and -71
  List after swap: [-95, -92, -52, -71, -15, -73, 1, 19, 55, 62]
  Compare -15 and -73
  Swap -15 and -73
  List after swap: [-95, -92, -52, -71, -73, -15, 1, 19, 55, 62]

Pass 6:
  Compare -95 and -92
  No swap needed
  Compare -92 and -52
  No swap needed
  Compare -52 and -71
  Swap -52 and -71
  List after swap: [-95, -92, -71, -52, -73, -15, 1, 19, 55, 62]
  Compare -52 and -73
  Swap -52 and -73
  List after swap: [-95, -92, -71, -73, -52, -15, 1, 19, 55, 62]

Pass 7:
  Compare -95 and -92
  No swap needed
  Compare -92 and -71
  No swap needed
  Compare -71 and -73
  Swap -71 and -73
  List after swap: [-95, -92, -73, -71, -52, -15, 1, 19, 55, 62]

Pass 8:
  Compare -95 and -92
  No swap needed
  Compare -92 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -92, -73, -71, -52, -15, 1, 19, 55, 62]
</think>

<response>-95, -92, -73, -71, -52, -15, 1, 19, 55, 62</response>


input: Sort the list -70, 51, -51, -94, 98 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-70, 51, -51, -94, 98]

Pass 1:
  Compare -70 and 51
  No swap needed
  Compare 51 and -51
  Swap 51 and -51
  List after swap: [-70, -51, 51, -94, 98]
  Compare 51 and -94
  Swap 51 and -94
  List after swap: [-70, -51, -94, 51, 98]
  Compare 51 and 98
  No swap needed

Pass 2:
  Compare -70 and -51
  No swap needed
  Compare -51 and -94
  Swap -51 and -94
  List after swap: [-70, -94, -51, 51, 98]
  Compare -51 and 51
  No swap needed

Pass 3:
  Compare -70 and -94
  Swap -70 and -94
  List after swap: [-94, -70, -51, 51, 98]
  Compare -70 and -51
  No swap needed

Pass 4:
  Compare -94 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -70, -51, 51, 98]
</think>

<response>-94, -70, -51, 51, 98</response>


input: Using the bubble sort method, sort -55, 40, 86, 75 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-55, 40, 86, 75]

Pass 1:
  Compare -55 and 40
  No swap needed
  Compare 40 and 86
  No swap needed
  Compare 86 and 75
  Swap 86 and 75
  List after swap: [-55, 40, 75, 86]

Pass 2:
  Compare -55 and 40
  No swap needed
  Compare 40 and 75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, 40, 75, 86]
</think>

<response>-55, 40, 75, 86</response>


input: Execute bubble sort to sort 45, -16, 46, -94, -93, 10 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [45, -16, 46, -94, -93, 10]

Pass 1:
  Compare 45 and -16
  Swap 45 and -16
  List after swap: [-16, 45, 46, -94, -93, 10]
  Compare 45 and 46
  No swap needed
  Compare 46 and -94
  Swap 46 and -94
  List after swap: [-16, 45, -94, 46, -93, 10]
  Compare 46 and -93
  Swap 46 and -93
  List after swap: [-16, 45, -94, -93, 46, 10]
  Compare 46 and 10
  Swap 46 and 10
  List after swap: [-16, 45, -94, -93, 10, 46]

Pass 2:
  Compare -16 and 45
  No swap needed
  Compare 45 and -94
  Swap 45 and -94
  List after swap: [-16, -94, 45, -93, 10, 46]
  Compare 45 and -93
  Swap 45 and -93
  List after swap: [-16, -94, -93, 45, 10, 46]
  Compare 45 and 10
  Swap 45 and 10
  List after swap: [-16, -94, -93, 10, 45, 46]

Pass 3:
  Compare -16 and -94
  Swap -16 and -94
  List after swap: [-94, -16, -93, 10, 45, 46]
  Compare -16 and -93
  Swap -16 and -93
  List after swap: [-94, -93, -16, 10, 45, 46]
  Compare -16 and 10
  No swap needed

Pass 4:
  Compare -94 and -93
  No swap needed
  Compare -93 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -93, -16, 10, 45, 46]
</think>

<response>-94, -93, -16, 10, 45, 46</response>


input: Execute bubble sort to sort -22, -67, -80, -79, -93, 21, 42, 51 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-22, -67, -80, -79, -93, 21, 42, 51]

Pass 1:
  Compare -22 and -67
  Swap -22 and -67
  List after swap: [-67, -22, -80, -79, -93, 21, 42, 51]
  Compare -22 and -80
  Swap -22 and -80
  List after swap: [-67, -80, -22, -79, -93, 21, 42, 51]
  Compare -22 and -79
  Swap -22 and -79
  List after swap: [-67, -80, -79, -22, -93, 21, 42, 51]
  Compare -22 and -93
  Swap -22 and -93
  List after swap: [-67, -80, -79, -93, -22, 21, 42, 51]
  Compare -22 and 21
  No swap needed
  Compare 21 and 42
  No swap needed
  Compare 42 and 51
  No swap needed

Pass 2:
  Compare -67 and -80
  Swap -67 and -80
  List after swap: [-80, -67, -79, -93, -22, 21, 42, 51]
  Compare -67 and -79
  Swap -67 and -79
  List after swap: [-80, -79, -67, -93, -22, 21, 42, 51]
  Compare -67 and -93
  Swap -67 and -93
  List after swap: [-80, -79, -93, -67, -22, 21, 42, 51]
  Compare -67 and -22
  No swap needed
  Compare -22 and 21
  No swap needed
  Compare 21 and 42
  No swap needed

Pass 3:
  Compare -80 and -79
  No swap needed
  Compare -79 and -93
  Swap -79 and -93
  List after swap: [-80, -93, -79, -67, -22, 21, 42, 51]
  Compare -79 and -67
  No swap needed
  Compare -67 and -22
  No swap needed
  Compare -22 and 21
  No swap needed

Pass 4:
  Compare -80 and -93
  Swap -80 and -93
  List after swap: [-93, -80, -79, -67, -22, 21, 42, 51]
  Compare -80 and -79
  No swap needed
  Compare -79 and -67
  No swap needed
  Compare -67 and -22
  No swap needed

Pass 5:
  Compare -93 and -80
  No swap needed
  Compare -80 and -79
  No swap needed
  Compare -79 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -80, -79, -67, -22, 21, 42, 51]
</think>

<response>-93, -80, -79, -67, -22, 21, 42, 51</response>


input: Execute bubble sort to sort -69, 14, -58 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-69, 14, -58]

Pass 1:
  Compare -69 and 14
  No swap needed
  Compare 14 and -58
  Swap 14 and -58
  List after swap: [-69, -58, 14]

Pass 2:
  Compare -69 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -58, 14]
</think>

<response>-69, -58, 14</response>


input: Arrange the numbers 41, 49, 15, -64, 86, -35, -24, -36, 14 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [41, 49, 15, -64, 86, -35, -24, -36, 14]

Pass 1:
  Compare 41 and 49
  No swap needed
  Compare 49 and 15
  Swap 49 and 15
  List after swap: [41, 15, 49, -64, 86, -35, -24, -36, 14]
  Compare 49 and -64
  Swap 49 and -64
  List after swap: [41, 15, -64, 49, 86, -35, -24, -36, 14]
  Compare 49 and 86
  No swap needed
  Compare 86 and -35
  Swap 86 and -35
  List after swap: [41, 15, -64, 49, -35, 86, -24, -36, 14]
  Compare 86 and -24
  Swap 86 and -24
  List after swap: [41, 15, -64, 49, -35, -24, 86, -36, 14]
  Compare 86 and -36
  Swap 86 and -36
  List after swap: [41, 15, -64, 49, -35, -24, -36, 86, 14]
  Compare 86 and 14
  Swap 86 and 14
  List after swap: [41, 15, -64, 49, -35, -24, -36, 14, 86]

Pass 2:
  Compare 41 and 15
  Swap 41 and 15
  List after swap: [15, 41, -64, 49, -35, -24, -36, 14, 86]
  Compare 41 and -64
  Swap 41 and -64
  List after swap: [15, -64, 41, 49, -35, -24, -36, 14, 86]
  Compare 41 and 49
  No swap needed
  Compare 49 and -35
  Swap 49 and -35
  List after swap: [15, -64, 41, -35, 49, -24, -36, 14, 86]
  Compare 49 and -24
  Swap 49 and -24
  List after swap: [15, -64, 41, -35, -24, 49, -36, 14, 86]
  Compare 49 and -36
  Swap 49 and -36
  List after swap: [15, -64, 41, -35, -24, -36, 49, 14, 86]
  Compare 49 and 14
  Swap 49 and 14
  List after swap: [15, -64, 41, -35, -24, -36, 14, 49, 86]

Pass 3:
  Compare 15 and -64
  Swap 15 and -64
  List after swap: [-64, 15, 41, -35, -24, -36, 14, 49, 86]
  Compare 15 and 41
  No swap needed
  Compare 41 and -35
  Swap 41 and -35
  List after swap: [-64, 15, -35, 41, -24, -36, 14, 49, 86]
  Compare 41 and -24
  Swap 41 and -24
  List after swap: [-64, 15, -35, -24, 41, -36, 14, 49, 86]
  Compare 41 and -36
  Swap 41 and -36
  List after swap: [-64, 15, -35, -24, -36, 41, 14, 49, 86]
  Compare 41 and 14
  Swap 41 and 14
  List after swap: [-64, 15, -35, -24, -36, 14, 41, 49, 86]

Pass 4:
  Compare -64 and 15
  No swap needed
  Compare 15 and -35
  Swap 15 and -35
  List after swap: [-64, -35, 15, -24, -36, 14, 41, 49, 86]
  Compare 15 and -24
  Swap 15 and -24
  List after swap: [-64, -35, -24, 15, -36, 14, 41, 49, 86]
  Compare 15 and -36
  Swap 15 and -36
  List after swap: [-64, -35, -24, -36, 15, 14, 41, 49, 86]
  Compare 15 and 14
  Swap 15 and 14
  List after swap: [-64, -35, -24, -36, 14, 15, 41, 49, 86]

Pass 5:
  Compare -64 and -35
  No swap needed
  Compare -35 and -24
  No swap needed
  Compare -24 and -36
  Swap -24 and -36
  List after swap: [-64, -35, -36, -24, 14, 15, 41, 49, 86]
  Compare -24 and 14
  No swap needed

Pass 6:
  Compare -64 and -35
  No swap needed
  Compare -35 and -36
  Swap -35 and -36
  List after swap: [-64, -36, -35, -24, 14, 15, 41, 49, 86]
  Compare -35 and -24
  No swap needed

Pass 7:
  Compare -64 and -36
  No swap needed
  Compare -36 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -36, -35, -24, 14, 15, 41, 49, 86]
</think>

<response>-64, -36, -35, -24, 14, 15, 41, 49, 86</response>


input: Use the bubble sort technique to reorder -28, 45, -50 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-28, 45, -50]

Pass 1:
  Compare -28 and 45
  No swap needed
  Compare 45 and -50
  Swap 45 and -50
  List after swap: [-28, -50, 45]

Pass 2:
  Compare -28 and -50
  Swap -28 and -50
  List after swap: [-50, -28, 45]

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

Final sorted list: [-50, -28, 45]
</think>

<response>-50, -28, 45</response>


input: Sort the list -62, -29, 6, 99, 77 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-62, -29, 6, 99, 77]

Pass 1:
  Compare -62 and -29
  No swap needed
  Compare -29 and 6
  No swap needed
  Compare 6 and 99
  No swap needed
  Compare 99 and 77
  Swap 99 and 77
  List after swap: [-62, -29, 6, 77, 99]

Pass 2:
  Compare -62 and -29
  No swap needed
  Compare -29 and 6
  No swap needed
  Compare 6 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -29, 6, 77, 99]
</think>

<response>-62, -29, 6, 77, 99</response>


input: Perform a bubble sort on the integers -49, -32, 92, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-49, -32, 92]

Pass 1:
  Compare -49 and -32
  No swap needed
  Compare -32 and 92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -32, 92]
</think>

<response>-49, -32, 92</response>


input: Implement bubble sort on 35, -21, 26, 6, -44, 94, -48, -1, -29, -77 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [35, -21, 26, 6, -44, 94, -48, -1, -29, -77]

Pass 1:
  Compare 35 and -21
  Swap 35 and -21
  List after swap: [-21, 35, 26, 6, -44, 94, -48, -1, -29, -77]
  Compare 35 and 26
  Swap 35 and 26
  List after swap: [-21, 26, 35, 6, -44, 94, -48, -1, -29, -77]
  Compare 35 and 6
  Swap 35 and 6
  List after swap: [-21, 26, 6, 35, -44, 94, -48, -1, -29, -77]
  Compare 35 and -44
  Swap 35 and -44
  List after swap: [-21, 26, 6, -44, 35, 94, -48, -1, -29, -77]
  Compare 35 and 94
  No swap needed
  Compare 94 and -48
  Swap 94 and -48
  List after swap: [-21, 26, 6, -44, 35, -48, 94, -1, -29, -77]
  Compare 94 and -1
  Swap 94 and -1
  List after swap: [-21, 26, 6, -44, 35, -48, -1, 94, -29, -77]
  Compare 94 and -29
  Swap 94 and -29
  List after swap: [-21, 26, 6, -44, 35, -48, -1, -29, 94, -77]
  Compare 94 and -77
  Swap 94 and -77
  List after swap: [-21, 26, 6, -44, 35, -48, -1, -29, -77, 94]

Pass 2:
  Compare -21 and 26
  No swap needed
  Compare 26 and 6
  Swap 26 and 6
  List after swap: [-21, 6, 26, -44, 35, -48, -1, -29, -77, 94]
  Compare 26 and -44
  Swap 26 and -44
  List after swap: [-21, 6, -44, 26, 35, -48, -1, -29, -77, 94]
  Compare 26 and 35
  No swap needed
  Compare 35 and -48
  Swap 35 and -48
  List after swap: [-21, 6, -44, 26, -48, 35, -1, -29, -77, 94]
  Compare 35 and -1
  Swap 35 and -1
  List after swap: [-21, 6, -44, 26, -48, -1, 35, -29, -77, 94]
  Compare 35 and -29
  Swap 35 and -29
  List after swap: [-21, 6, -44, 26, -48, -1, -29, 35, -77, 94]
  Compare 35 and -77
  Swap 35 and -77
  List after swap: [-21, 6, -44, 26, -48, -1, -29, -77, 35, 94]

Pass 3:
  Compare -21 and 6
  No swap needed
  Compare 6 and -44
  Swap 6 and -44
  List after swap: [-21, -44, 6, 26, -48, -1, -29, -77, 35, 94]
  Compare 6 and 26
  No swap needed
  Compare 26 and -48
  Swap 26 and -48
  List after swap: [-21, -44, 6, -48, 26, -1, -29, -77, 35, 94]
  Compare 26 and -1
  Swap 26 and -1
  List after swap: [-21, -44, 6, -48, -1, 26, -29, -77, 35, 94]
  Compare 26 and -29
  Swap 26 and -29
  List after swap: [-21, -44, 6, -48, -1, -29, 26, -77, 35, 94]
  Compare 26 and -77
  Swap 26 and -77
  List after swap: [-21, -44, 6, -48, -1, -29, -77, 26, 35, 94]

Pass 4:
  Compare -21 and -44
  Swap -21 and -44
  List after swap: [-44, -21, 6, -48, -1, -29, -77, 26, 35, 94]
  Compare -21 and 6
  No swap needed
  Compare 6 and -48
  Swap 6 and -48
  List after swap: [-44, -21, -48, 6, -1, -29, -77, 26, 35, 94]
  Compare 6 and -1
  Swap 6 and -1
  List after swap: [-44, -21, -48, -1, 6, -29, -77, 26, 35, 94]
  Compare 6 and -29
  Swap 6 and -29
  List after swap: [-44, -21, -48, -1, -29, 6, -77, 26, 35, 94]
  Compare 6 and -77
  Swap 6 and -77
  List after swap: [-44, -21, -48, -1, -29, -77, 6, 26, 35, 94]

Pass 5:
  Compare -44 and -21
  No swap needed
  Compare -21 and -48
  Swap -21 and -48
  List after swap: [-44, -48, -21, -1, -29, -77, 6, 26, 35, 94]
  Compare -21 and -1
  No swap needed
  Compare -1 and -29
  Swap -1 and -29
  List after swap: [-44, -48, -21, -29, -1, -77, 6, 26, 35, 94]
  Compare -1 and -77
  Swap -1 and -77
  List after swap: [-44, -48, -21, -29, -77, -1, 6, 26, 35, 94]

Pass 6:
  Compare -44 and -48
  Swap -44 and -48
  List after swap: [-48, -44, -21, -29, -77, -1, 6, 26, 35, 94]
  Compare -44 and -21
  No swap needed
  Compare -21 and -29
  Swap -21 and -29
  List after swap: [-48, -44, -29, -21, -77, -1, 6, 26, 35, 94]
  Compare -21 and -77
  Swap -21 and -77
  List after swap: [-48, -44, -29, -77, -21, -1, 6, 26, 35, 94]

Pass 7:
  Compare -48 and -44
  No swap needed
  Compare -44 and -29
  No swap needed
  Compare -29 and -77
  Swap -29 and -77
  List after swap: [-48, -44, -77, -29, -21, -1, 6, 26, 35, 94]

Pass 8:
  Compare -48 and -44
  No swap needed
  Compare -44 and -77
  Swap -44 and -77
  List after swap: [-48, -77, -44, -29, -21, -1, 6, 26, 35, 94]

Pass 9:
  Compare -48 and -77
  Swap -48 and -77
  List after swap: [-77, -48, -44, -29, -21, -1, 6, 26, 35, 94]

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

Final sorted list: [-77, -48, -44, -29, -21, -1, 6, 26, 35, 94]
</think>

<response>-77, -48, -44, -29, -21, -1, 6, 26, 35, 94</response>


input: Sort the list 25, 6, 13, -86, -52, 20, 70, 89, 81 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [25, 6, 13, -86, -52, 20, 70, 89, 81]

Pass 1:
  Compare 25 and 6
  Swap 25 and 6
  List after swap: [6, 25, 13, -86, -52, 20, 70, 89, 81]
  Compare 25 and 13
  Swap 25 and 13
  List after swap: [6, 13, 25, -86, -52, 20, 70, 89, 81]
  Compare 25 and -86
  Swap 25 and -86
  List after swap: [6, 13, -86, 25, -52, 20, 70, 89, 81]
  Compare 25 and -52
  Swap 25 and -52
  List after swap: [6, 13, -86, -52, 25, 20, 70, 89, 81]
  Compare 25 and 20
  Swap 25 and 20
  List after swap: [6, 13, -86, -52, 20, 25, 70, 89, 81]
  Compare 25 and 70
  No swap needed
  Compare 70 and 89
  No swap needed
  Compare 89 and 81
  Swap 89 and 81
  List after swap: [6, 13, -86, -52, 20, 25, 70, 81, 89]

Pass 2:
  Compare 6 and 13
  No swap needed
  Compare 13 and -86
  Swap 13 and -86
  List after swap: [6, -86, 13, -52, 20, 25, 70, 81, 89]
  Compare 13 and -52
  Swap 13 and -52
  List after swap: [6, -86, -52, 13, 20, 25, 70, 81, 89]
  Compare 13 and 20
  No swap needed
  Compare 20 and 25
  No swap needed
  Compare 25 and 70
  No swap needed
  Compare 70 and 81
  No swap needed

Pass 3:
  Compare 6 and -86
  Swap 6 and -86
  List after swap: [-86, 6, -52, 13, 20, 25, 70, 81, 89]
  Compare 6 and -52
  Swap 6 and -52
  List after swap: [-86, -52, 6, 13, 20, 25, 70, 81, 89]
  Compare 6 and 13
  No swap needed
  Compare 13 and 20
  No swap needed
  Compare 20 and 25
  No swap needed
  Compare 25 and 70
  No swap needed

Pass 4:
  Compare -86 and -52
  No swap needed
  Compare -52 and 6
  No swap needed
  Compare 6 and 13
  No swap needed
  Compare 13 and 20
  No swap needed
  Compare 20 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -52, 6, 13, 20, 25, 70, 81, 89]
</think>

<response>-86, -52, 6, 13, 20, 25, 70, 81, 89</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 28, -12, 83.

output:
<think>
Initial list: [28, -12, 83]

Pass 1:
  Compare 28 and -12
  Swap 28 and -12
  List after swap: [-12, 28, 83]
  Compare 28 and 83
  No swap needed

Pass 2:
  Compare -12 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-12, 28, 83]
</think>

<response>-12, 28, 83</response>


input: Execute bubble sort to sort -11, -15, -84, 42, -67, 14, -18, -98 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-11, -15, -84, 42, -67, 14, -18, -98]

Pass 1:
  Compare -11 and -15
  Swap -11 and -15
  List after swap: [-15, -11, -84, 42, -67, 14, -18, -98]
  Compare -11 and -84
  Swap -11 and -84
  List after swap: [-15, -84, -11, 42, -67, 14, -18, -98]
  Compare -11 and 42
  No swap needed
  Compare 42 and -67
  Swap 42 and -67
  List after swap: [-15, -84, -11, -67, 42, 14, -18, -98]
  Compare 42 and 14
  Swap 42 and 14
  List after swap: [-15, -84, -11, -67, 14, 42, -18, -98]
  Compare 42 and -18
  Swap 42 and -18
  List after swap: [-15, -84, -11, -67, 14, -18, 42, -98]
  Compare 42 and -98
  Swap 42 and -98
  List after swap: [-15, -84, -11, -67, 14, -18, -98, 42]

Pass 2:
  Compare -15 and -84
  Swap -15 and -84
  List after swap: [-84, -15, -11, -67, 14, -18, -98, 42]
  Compare -15 and -11
  No swap needed
  Compare -11 and -67
  Swap -11 and -67
  List after swap: [-84, -15, -67, -11, 14, -18, -98, 42]
  Compare -11 and 14
  No swap needed
  Compare 14 and -18
  Swap 14 and -18
  List after swap: [-84, -15, -67, -11, -18, 14, -98, 42]
  Compare 14 and -98
  Swap 14 and -98
  List after swap: [-84, -15, -67, -11, -18, -98, 14, 42]

Pass 3:
  Compare -84 and -15
  No swap needed
  Compare -15 and -67
  Swap -15 and -67
  List after swap: [-84, -67, -15, -11, -18, -98, 14, 42]
  Compare -15 and -11
  No swap needed
  Compare -11 and -18
  Swap -11 and -18
  List after swap: [-84, -67, -15, -18, -11, -98, 14, 42]
  Compare -11 and -98
  Swap -11 and -98
  List after swap: [-84, -67, -15, -18, -98, -11, 14, 42]

Pass 4:
  Compare -84 and -67
  No swap needed
  Compare -67 and -15
  No swap needed
  Compare -15 and -18
  Swap -15 and -18
  List after swap: [-84, -67, -18, -15, -98, -11, 14, 42]
  Compare -15 and -98
  Swap -15 and -98
  List after swap: [-84, -67, -18, -98, -15, -11, 14, 42]

Pass 5:
  Compare -84 and -67
  No swap needed
  Compare -67 and -18
  No swap needed
  Compare -18 and -98
  Swap -18 and -98
  List after swap: [-84, -67, -98, -18, -15, -11, 14, 42]

Pass 6:
  Compare -84 and -67
  No swap needed
  Compare -67 and -98
  Swap -67 and -98
  List after swap: [-84, -98, -67, -18, -15, -11, 14, 42]

Pass 7:
  Compare -84 and -98
  Swap -84 and -98
  List after swap: [-98, -84, -67, -18, -15, -11, 14, 42]

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

Final sorted list: [-98, -84, -67, -18, -15, -11, 14, 42]
</think>

<response>-98, -84, -67, -18, -15, -11, 14, 42</response>


input: Use the bubble sort technique to reorder 89, 54, -88, 63, 7, -16 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [89, 54, -88, 63, 7, -16]

Pass 1:
  Compare 89 and 54
  Swap 89 and 54
  List after swap: [54, 89, -88, 63, 7, -16]
  Compare 89 and -88
  Swap 89 and -88
  List after swap: [54, -88, 89, 63, 7, -16]
  Compare 89 and 63
  Swap 89 and 63
  List after swap: [54, -88, 63, 89, 7, -16]
  Compare 89 and 7
  Swap 89 and 7
  List after swap: [54, -88, 63, 7, 89, -16]
  Compare 89 and -16
  Swap 89 and -16
  List after swap: [54, -88, 63, 7, -16, 89]

Pass 2:
  Compare 54 and -88
  Swap 54 and -88
  List after swap: [-88, 54, 63, 7, -16, 89]
  Compare 54 and 63
  No swap needed
  Compare 63 and 7
  Swap 63 and 7
  List after swap: [-88, 54, 7, 63, -16, 89]
  Compare 63 and -16
  Swap 63 and -16
  List after swap: [-88, 54, 7, -16, 63, 89]

Pass 3:
  Compare -88 and 54
  No swap needed
  Compare 54 and 7
  Swap 54 and 7
  List after swap: [-88, 7, 54, -16, 63, 89]
  Compare 54 and -16
  Swap 54 and -16
  List after swap: [-88, 7, -16, 54, 63, 89]

Pass 4:
  Compare -88 and 7
  No swap needed
  Compare 7 and -16
  Swap 7 and -16
  List after swap: [-88, -16, 7, 54, 63, 89]

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

Final sorted list: [-88, -16, 7, 54, 63, 89]
</think>

<response>-88, -16, 7, 54, 63, 89</response>


input: Use the bubble sort technique to reorder 11, 71, -56 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [11, 71, -56]

Pass 1:
  Compare 11 and 71
  No swap needed
  Compare 71 and -56
  Swap 71 and -56
  List after swap: [11, -56, 71]

Pass 2:
  Compare 11 and -56
  Swap 11 and -56
  List after swap: [-56, 11, 71]

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

Final sorted list: [-56, 11, 71]
</think>

<response>-56, 11, 71</response>


input: Carry out the bubble sort algorithm on -70, 53, 80, 59, -63, -66, 97 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-70, 53, 80, 59, -63, -66, 97]

Pass 1:
  Compare -70 and 53
  No swap needed
  Compare 53 and 80
  No swap needed
  Compare 80 and 59
  Swap 80 and 59
  List after swap: [-70, 53, 59, 80, -63, -66, 97]
  Compare 80 and -63
  Swap 80 and -63
  List after swap: [-70, 53, 59, -63, 80, -66, 97]
  Compare 80 and -66
  Swap 80 and -66
  List after swap: [-70, 53, 59, -63, -66, 80, 97]
  Compare 80 and 97
  No swap needed

Pass 2:
  Compare -70 and 53
  No swap needed
  Compare 53 and 59
  No swap needed
  Compare 59 and -63
  Swap 59 and -63
  List after swap: [-70, 53, -63, 59, -66, 80, 97]
  Compare 59 and -66
  Swap 59 and -66
  List after swap: [-70, 53, -63, -66, 59, 80, 97]
  Compare 59 and 80
  No swap needed

Pass 3:
  Compare -70 and 53
  No swap needed
  Compare 53 and -63
  Swap 53 and -63
  List after swap: [-70, -63, 53, -66, 59, 80, 97]
  Compare 53 and -66
  Swap 53 and -66
  List after swap: [-70, -63, -66, 53, 59, 80, 97]
  Compare 53 and 59
  No swap needed

Pass 4:
  Compare -70 and -63
  No swap needed
  Compare -63 and -66
  Swap -63 and -66
  List after swap: [-70, -66, -63, 53, 59, 80, 97]
  Compare -63 and 53
  No swap needed

Pass 5:
  Compare -70 and -66
  No swap needed
  Compare -66 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -66, -63, 53, 59, 80, 97]
</think>

<response>-70, -66, -63, 53, 59, 80, 97</response>


input: Using the bubble sort method, sort 1, 0 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [1, 0]

Pass 1:
  Compare 1 and 0
  Swap 1 and 0
  List after swap: [0, 1]

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

Final sorted list: [0, 1]
</think>

<response>0, 1</response>


input: Use the bubble sort technique to reorder -50, 68, -36, -99, -91, -15 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-50, 68, -36, -99, -91, -15]

Pass 1:
  Compare -50 and 68
  No swap needed
  Compare 68 and -36
  Swap 68 and -36
  List after swap: [-50, -36, 68, -99, -91, -15]
  Compare 68 and -99
  Swap 68 and -99
  List after swap: [-50, -36, -99, 68, -91, -15]
  Compare 68 and -91
  Swap 68 and -91
  List after swap: [-50, -36, -99, -91, 68, -15]
  Compare 68 and -15
  Swap 68 and -15
  List after swap: [-50, -36, -99, -91, -15, 68]

Pass 2:
  Compare -50 and -36
  No swap needed
  Compare -36 and -99
  Swap -36 and -99
  List after swap: [-50, -99, -36, -91, -15, 68]
  Compare -36 and -91
  Swap -36 and -91
  List after swap: [-50, -99, -91, -36, -15, 68]
  Compare -36 and -15
  No swap needed

Pass 3:
  Compare -50 and -99
  Swap -50 and -99
  List after swap: [-99, -50, -91, -36, -15, 68]
  Compare -50 and -91
  Swap -50 and -91
  List after swap: [-99, -91, -50, -36, -15, 68]
  Compare -50 and -36
  No swap needed

Pass 4:
  Compare -99 and -91
  No swap needed
  Compare -91 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -91, -50, -36, -15, 68]
</think>

<response>-99, -91, -50, -36, -15, 68</response>


input: Implement bubble sort on 66, 43, 49 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [66, 43, 49]

Pass 1:
  Compare 66 and 43
  Swap 66 and 43
  List after swap: [43, 66, 49]
  Compare 66 and 49
  Swap 66 and 49
  List after swap: [43, 49, 66]

Pass 2:
  Compare 43 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [43, 49, 66]
</think>

<response>43, 49, 66</response>


input: Sort these integers 69, 8 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [69, 8]

Pass 1:
  Compare 69 and 8
  Swap 69 and 8
  List after swap: [8, 69]

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

Final sorted list: [8, 69]
</think>

<response>8, 69</response>


input: Demonstrate how bubble sort orders the integers 78, 35, 25, 73 in ascending sequence, showing all steps.

output:
<think>
Initial list: [78, 35, 25, 73]

Pass 1:
  Compare 78 and 35
  Swap 78 and 35
  List after swap: [35, 78, 25, 73]
  Compare 78 and 25
  Swap 78 and 25
  List after swap: [35, 25, 78, 73]
  Compare 78 and 73
  Swap 78 and 73
  List after swap: [35, 25, 73, 78]

Pass 2:
  Compare 35 and 25
  Swap 35 and 25
  List after swap: [25, 35, 73, 78]
  Compare 35 and 73
  No swap needed

Pass 3:
  Compare 25 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [25, 35, 73, 78]
</think>

<response>25, 35, 73, 78</response>


input: Perform a bubble sort on the integers -64, 96, -47, -22, 85, -50, -65, -5, -17, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-64, 96, -47, -22, 85, -50, -65, -5, -17]

Pass 1:
  Compare -64 and 96
  No swap needed
  Compare 96 and -47
  Swap 96 and -47
  List after swap: [-64, -47, 96, -22, 85, -50, -65, -5, -17]
  Compare 96 and -22
  Swap 96 and -22
  List after swap: [-64, -47, -22, 96, 85, -50, -65, -5, -17]
  Compare 96 and 85
  Swap 96 and 85
  List after swap: [-64, -47, -22, 85, 96, -50, -65, -5, -17]
  Compare 96 and -50
  Swap 96 and -50
  List after swap: [-64, -47, -22, 85, -50, 96, -65, -5, -17]
  Compare 96 and -65
  Swap 96 and -65
  List after swap: [-64, -47, -22, 85, -50, -65, 96, -5, -17]
  Compare 96 and -5
  Swap 96 and -5
  List after swap: [-64, -47, -22, 85, -50, -65, -5, 96, -17]
  Compare 96 and -17
  Swap 96 and -17
  List after swap: [-64, -47, -22, 85, -50, -65, -5, -17, 96]

Pass 2:
  Compare -64 and -47
  No swap needed
  Compare -47 and -22
  No swap needed
  Compare -22 and 85
  No swap needed
  Compare 85 and -50
  Swap 85 and -50
  List after swap: [-64, -47, -22, -50, 85, -65, -5, -17, 96]
  Compare 85 and -65
  Swap 85 and -65
  List after swap: [-64, -47, -22, -50, -65, 85, -5, -17, 96]
  Compare 85 and -5
  Swap 85 and -5
  List after swap: [-64, -47, -22, -50, -65, -5, 85, -17, 96]
  Compare 85 and -17
  Swap 85 and -17
  List after swap: [-64, -47, -22, -50, -65, -5, -17, 85, 96]

Pass 3:
  Compare -64 and -47
  No swap needed
  Compare -47 and -22
  No swap needed
  Compare -22 and -50
  Swap -22 and -50
  List after swap: [-64, -47, -50, -22, -65, -5, -17, 85, 96]
  Compare -22 and -65
  Swap -22 and -65
  List after swap: [-64, -47, -50, -65, -22, -5, -17, 85, 96]
  Compare -22 and -5
  No swap needed
  Compare -5 and -17
  Swap -5 and -17
  List after swap: [-64, -47, -50, -65, -22, -17, -5, 85, 96]

Pass 4:
  Compare -64 and -47
  No swap needed
  Compare -47 and -50
  Swap -47 and -50
  List after swap: [-64, -50, -47, -65, -22, -17, -5, 85, 96]
  Compare -47 and -65
  Swap -47 and -65
  List after swap: [-64, -50, -65, -47, -22, -17, -5, 85, 96]
  Compare -47 and -22
  No swap needed
  Compare -22 and -17
  No swap needed

Pass 5:
  Compare -64 and -50
  No swap needed
  Compare -50 and -65
  Swap -50 and -65
  List after swap: [-64, -65, -50, -47, -22, -17, -5, 85, 96]
  Compare -50 and -47
  No swap needed
  Compare -47 and -22
  No swap needed

Pass 6:
  Compare -64 and -65
  Swap -64 and -65
  List after swap: [-65, -64, -50, -47, -22, -17, -5, 85, 96]
  Compare -64 and -50
  No swap needed
  Compare -50 and -47
  No swap needed

Pass 7:
  Compare -65 and -64
  No swap needed
  Compare -64 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -64, -50, -47, -22, -17, -5, 85, 96]
</think>

<response>-65, -64, -50, -47, -22, -17, -5, 85, 96</response>


input: Arrange the numbers -45, -73, -43, 90, 4 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-45, -73, -43, 90, 4]

Pass 1:
  Compare -45 and -73
  Swap -45 and -73
  List after swap: [-73, -45, -43, 90, 4]
  Compare -45 and -43
  No swap needed
  Compare -43 and 90
  No swap needed
  Compare 90 and 4
  Swap 90 and 4
  List after swap: [-73, -45, -43, 4, 90]

Pass 2:
  Compare -73 and -45
  No swap needed
  Compare -45 and -43
  No swap needed
  Compare -43 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -45, -43, 4, 90]
</think>

<response>-73, -45, -43, 4, 90</response>


input: Using the bubble sort method, sort 53, -30, -81, -46 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [53, -30, -81, -46]

Pass 1:
  Compare 53 and -30
  Swap 53 and -30
  List after swap: [-30, 53, -81, -46]
  Compare 53 and -81
  Swap 53 and -81
  List after swap: [-30, -81, 53, -46]
  Compare 53 and -46
  Swap 53 and -46
  List after swap: [-30, -81, -46, 53]

Pass 2:
  Compare -30 and -81
  Swap -30 and -81
  List after swap: [-81, -30, -46, 53]
  Compare -30 and -46
  Swap -30 and -46
  List after swap: [-81, -46, -30, 53]

Pass 3:
  Compare -81 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -46, -30, 53]
</think>

<response>-81, -46, -30, 53</response>


input: Arrange the numbers -25, 66, 22, 12, 60, -2, 37 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-25, 66, 22, 12, 60, -2, 37]

Pass 1:
  Compare -25 and 66
  No swap needed
  Compare 66 and 22
  Swap 66 and 22
  List after swap: [-25, 22, 66, 12, 60, -2, 37]
  Compare 66 and 12
  Swap 66 and 12
  List after swap: [-25, 22, 12, 66, 60, -2, 37]
  Compare 66 and 60
  Swap 66 and 60
  List after swap: [-25, 22, 12, 60, 66, -2, 37]
  Compare 66 and -2
  Swap 66 and -2
  List after swap: [-25, 22, 12, 60, -2, 66, 37]
  Compare 66 and 37
  Swap 66 and 37
  List after swap: [-25, 22, 12, 60, -2, 37, 66]

Pass 2:
  Compare -25 and 22
  No swap needed
  Compare 22 and 12
  Swap 22 and 12
  List after swap: [-25, 12, 22, 60, -2, 37, 66]
  Compare 22 and 60
  No swap needed
  Compare 60 and -2
  Swap 60 and -2
  List after swap: [-25, 12, 22, -2, 60, 37, 66]
  Compare 60 and 37
  Swap 60 and 37
  List after swap: [-25, 12, 22, -2, 37, 60, 66]

Pass 3:
  Compare -25 and 12
  No swap needed
  Compare 12 and 22
  No swap needed
  Compare 22 and -2
  Swap 22 and -2
  List after swap: [-25, 12, -2, 22, 37, 60, 66]
  Compare 22 and 37
  No swap needed

Pass 4:
  Compare -25 and 12
  No swap needed
  Compare 12 and -2
  Swap 12 and -2
  List after swap: [-25, -2, 12, 22, 37, 60, 66]
  Compare 12 and 22
  No swap needed

Pass 5:
  Compare -25 and -2
  No swap needed
  Compare -2 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, -2, 12, 22, 37, 60, 66]
</think>

<response>-25, -2, 12, 22, 37, 60, 66</response>


input: Sort these integers 16, -68, 38, 26, 72, -9, -60, -43, 25 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [16, -68, 38, 26, 72, -9, -60, -43, 25]

Pass 1:
  Compare 16 and -68
  Swap 16 and -68
  List after swap: [-68, 16, 38, 26, 72, -9, -60, -43, 25]
  Compare 16 and 38
  No swap needed
  Compare 38 and 26
  Swap 38 and 26
  List after swap: [-68, 16, 26, 38, 72, -9, -60, -43, 25]
  Compare 38 and 72
  No swap needed
  Compare 72 and -9
  Swap 72 and -9
  List after swap: [-68, 16, 26, 38, -9, 72, -60, -43, 25]
  Compare 72 and -60
  Swap 72 and -60
  List after swap: [-68, 16, 26, 38, -9, -60, 72, -43, 25]
  Compare 72 and -43
  Swap 72 and -43
  List after swap: [-68, 16, 26, 38, -9, -60, -43, 72, 25]
  Compare 72 and 25
  Swap 72 and 25
  List after swap: [-68, 16, 26, 38, -9, -60, -43, 25, 72]

Pass 2:
  Compare -68 and 16
  No swap needed
  Compare 16 and 26
  No swap needed
  Compare 26 and 38
  No swap needed
  Compare 38 and -9
  Swap 38 and -9
  List after swap: [-68, 16, 26, -9, 38, -60, -43, 25, 72]
  Compare 38 and -60
  Swap 38 and -60
  List after swap: [-68, 16, 26, -9, -60, 38, -43, 25, 72]
  Compare 38 and -43
  Swap 38 and -43
  List after swap: [-68, 16, 26, -9, -60, -43, 38, 25, 72]
  Compare 38 and 25
  Swap 38 and 25
  List after swap: [-68, 16, 26, -9, -60, -43, 25, 38, 72]

Pass 3:
  Compare -68 and 16
  No swap needed
  Compare 16 and 26
  No swap needed
  Compare 26 and -9
  Swap 26 and -9
  List after swap: [-68, 16, -9, 26, -60, -43, 25, 38, 72]
  Compare 26 and -60
  Swap 26 and -60
  List after swap: [-68, 16, -9, -60, 26, -43, 25, 38, 72]
  Compare 26 and -43
  Swap 26 and -43
  List after swap: [-68, 16, -9, -60, -43, 26, 25, 38, 72]
  Compare 26 and 25
  Swap 26 and 25
  List after swap: [-68, 16, -9, -60, -43, 25, 26, 38, 72]

Pass 4:
  Compare -68 and 16
  No swap needed
  Compare 16 and -9
  Swap 16 and -9
  List after swap: [-68, -9, 16, -60, -43, 25, 26, 38, 72]
  Compare 16 and -60
  Swap 16 and -60
  List after swap: [-68, -9, -60, 16, -43, 25, 26, 38, 72]
  Compare 16 and -43
  Swap 16 and -43
  List after swap: [-68, -9, -60, -43, 16, 25, 26, 38, 72]
  Compare 16 and 25
  No swap needed

Pass 5:
  Compare -68 and -9
  No swap needed
  Compare -9 and -60
  Swap -9 and -60
  List after swap: [-68, -60, -9, -43, 16, 25, 26, 38, 72]
  Compare -9 and -43
  Swap -9 and -43
  List after swap: [-68, -60, -43, -9, 16, 25, 26, 38, 72]
  Compare -9 and 16
  No swap needed

Pass 6:
  Compare -68 and -60
  No swap needed
  Compare -60 and -43
  No swap needed
  Compare -43 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -60, -43, -9, 16, 25, 26, 38, 72]
</think>

<response>-68, -60, -43, -9, 16, 25, 26, 38, 72</response>


input: Execute bubble sort to sort 33, 64, 99, 69, 2, 81 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [33, 64, 99, 69, 2, 81]

Pass 1:
  Compare 33 and 64
  No swap needed
  Compare 64 and 99
  No swap needed
  Compare 99 and 69
  Swap 99 and 69
  List after swap: [33, 64, 69, 99, 2, 81]
  Compare 99 and 2
  Swap 99 and 2
  List after swap: [33, 64, 69, 2, 99, 81]
  Compare 99 and 81
  Swap 99 and 81
  List after swap: [33, 64, 69, 2, 81, 99]

Pass 2:
  Compare 33 and 64
  No swap needed
  Compare 64 and 69
  No swap needed
  Compare 69 and 2
  Swap 69 and 2
  List after swap: [33, 64, 2, 69, 81, 99]
  Compare 69 and 81
  No swap needed

Pass 3:
  Compare 33 and 64
  No swap needed
  Compare 64 and 2
  Swap 64 and 2
  List after swap: [33, 2, 64, 69, 81, 99]
  Compare 64 and 69
  No swap needed

Pass 4:
  Compare 33 and 2
  Swap 33 and 2
  List after swap: [2, 33, 64, 69, 81, 99]
  Compare 33 and 64
  No swap needed

Pass 5:
  Compare 2 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [2, 33, 64, 69, 81, 99]
</think>

<response>2, 33, 64, 69, 81, 99</response>


input: Arrange the numbers 11, -2, -68 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [11, -2, -68]

Pass 1:
  Compare 11 and -2
  Swap 11 and -2
  List after swap: [-2, 11, -68]
  Compare 11 and -68
  Swap 11 and -68
  List after swap: [-2, -68, 11]

Pass 2:
  Compare -2 and -68
  Swap -2 and -68
  List after swap: [-68, -2, 11]

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

Final sorted list: [-68, -2, 11]
</think>

<response>-68, -2, 11</response>


input: Demonstrate how bubble sort orders the integers -19, -98, 23 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-19, -98, 23]

Pass 1:
  Compare -19 and -98
  Swap -19 and -98
  List after swap: [-98, -19, 23]
  Compare -19 and 23
  No swap needed

Pass 2:
  Compare -98 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -19, 23]
</think>

<response>-98, -19, 23</response>


input: Execute bubble sort to sort -34, -64, 74, -24, -7, 84, -89, 29, 41, 80 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-34, -64, 74, -24, -7, 84, -89, 29, 41, 80]

Pass 1:
  Compare -34 and -64
  Swap -34 and -64
  List after swap: [-64, -34, 74, -24, -7, 84, -89, 29, 41, 80]
  Compare -34 and 74
  No swap needed
  Compare 74 and -24
  Swap 74 and -24
  List after swap: [-64, -34, -24, 74, -7, 84, -89, 29, 41, 80]
  Compare 74 and -7
  Swap 74 and -7
  List after swap: [-64, -34, -24, -7, 74, 84, -89, 29, 41, 80]
  Compare 74 and 84
  No swap needed
  Compare 84 and -89
  Swap 84 and -89
  List after swap: [-64, -34, -24, -7, 74, -89, 84, 29, 41, 80]
  Compare 84 and 29
  Swap 84 and 29
  List after swap: [-64, -34, -24, -7, 74, -89, 29, 84, 41, 80]
  Compare 84 and 41
  Swap 84 and 41
  List after swap: [-64, -34, -24, -7, 74, -89, 29, 41, 84, 80]
  Compare 84 and 80
  Swap 84 and 80
  List after swap: [-64, -34, -24, -7, 74, -89, 29, 41, 80, 84]

Pass 2:
  Compare -64 and -34
  No swap needed
  Compare -34 and -24
  No swap needed
  Compare -24 and -7
  No swap needed
  Compare -7 and 74
  No swap needed
  Compare 74 and -89
  Swap 74 and -89
  List after swap: [-64, -34, -24, -7, -89, 74, 29, 41, 80, 84]
  Compare 74 and 29
  Swap 74 and 29
  List after swap: [-64, -34, -24, -7, -89, 29, 74, 41, 80, 84]
  Compare 74 and 41
  Swap 74 and 41
  List after swap: [-64, -34, -24, -7, -89, 29, 41, 74, 80, 84]
  Compare 74 and 80
  No swap needed

Pass 3:
  Compare -64 and -34
  No swap needed
  Compare -34 and -24
  No swap needed
  Compare -24 and -7
  No swap needed
  Compare -7 and -89
  Swap -7 and -89
  List after swap: [-64, -34, -24, -89, -7, 29, 41, 74, 80, 84]
  Compare -7 and 29
  No swap needed
  Compare 29 and 41
  No swap needed
  Compare 41 and 74
  No swap needed

Pass 4:
  Compare -64 and -34
  No swap needed
  Compare -34 and -24
  No swap needed
  Compare -24 and -89
  Swap -24 and -89
  List after swap: [-64, -34, -89, -24, -7, 29, 41, 74, 80, 84]
  Compare -24 and -7
  No swap needed
  Compare -7 and 29
  No swap needed
  Compare 29 and 41
  No swap needed

Pass 5:
  Compare -64 and -34
  No swap needed
  Compare -34 and -89
  Swap -34 and -89
  List after swap: [-64, -89, -34, -24, -7, 29, 41, 74, 80, 84]
  Compare -34 and -24
  No swap needed
  Compare -24 and -7
  No swap needed
  Compare -7 and 29
  No swap needed

Pass 6:
  Compare -64 and -89
  Swap -64 and -89
  List after swap: [-89, -64, -34, -24, -7, 29, 41, 74, 80, 84]
  Compare -64 and -34
  No swap needed
  Compare -34 and -24
  No swap needed
  Compare -24 and -7
  No swap needed

Pass 7:
  Compare -89 and -64
  No swap needed
  Compare -64 and -34
  No swap needed
  Compare -34 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -64, -34, -24, -7, 29, 41, 74, 80, 84]
</think>

<response>-89, -64, -34, -24, -7, 29, 41, 74, 80, 84</response>


input: Execute bubble sort to sort 29, -58, 17, 11, -41, 67 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [29, -58, 17, 11, -41, 67]

Pass 1:
  Compare 29 and -58
  Swap 29 and -58
  List after swap: [-58, 29, 17, 11, -41, 67]
  Compare 29 and 17
  Swap 29 and 17
  List after swap: [-58, 17, 29, 11, -41, 67]
  Compare 29 and 11
  Swap 29 and 11
  List after swap: [-58, 17, 11, 29, -41, 67]
  Compare 29 and -41
  Swap 29 and -41
  List after swap: [-58, 17, 11, -41, 29, 67]
  Compare 29 and 67
  No swap needed

Pass 2:
  Compare -58 and 17
  No swap needed
  Compare 17 and 11
  Swap 17 and 11
  List after swap: [-58, 11, 17, -41, 29, 67]
  Compare 17 and -41
  Swap 17 and -41
  List after swap: [-58, 11, -41, 17, 29, 67]
  Compare 17 and 29
  No swap needed

Pass 3:
  Compare -58 and 11
  No swap needed
  Compare 11 and -41
  Swap 11 and -41
  List after swap: [-58, -41, 11, 17, 29, 67]
  Compare 11 and 17
  No swap needed

Pass 4:
  Compare -58 and -41
  No swap needed
  Compare -41 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -41, 11, 17, 29, 67]
</think>

<response>-58, -41, 11, 17, 29, 67</response>


input: Using the bubble sort method, sort 83, -39 from lowest to highest and provide a step-by-step breakdown.

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

Pass 1:
  Compare 83 and -39
  Swap 83 and -39
  List after swap: [-39, 83]

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

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

<response>-39, 83</response>