input: Carry out the bubble sort algorithm on -66, 79, -27, 22, -43, -19, -13, 3 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-66, 79, -27, 22, -43, -19, -13, 3]

Pass 1:
  Compare -66 and 79
  No swap needed
  Compare 79 and -27
  Swap 79 and -27
  List after swap: [-66, -27, 79, 22, -43, -19, -13, 3]
  Compare 79 and 22
  Swap 79 and 22
  List after swap: [-66, -27, 22, 79, -43, -19, -13, 3]
  Compare 79 and -43
  Swap 79 and -43
  List after swap: [-66, -27, 22, -43, 79, -19, -13, 3]
  Compare 79 and -19
  Swap 79 and -19
  List after swap: [-66, -27, 22, -43, -19, 79, -13, 3]
  Compare 79 and -13
  Swap 79 and -13
  List after swap: [-66, -27, 22, -43, -19, -13, 79, 3]
  Compare 79 and 3
  Swap 79 and 3
  List after swap: [-66, -27, 22, -43, -19, -13, 3, 79]

Pass 2:
  Compare -66 and -27
  No swap needed
  Compare -27 and 22
  No swap needed
  Compare 22 and -43
  Swap 22 and -43
  List after swap: [-66, -27, -43, 22, -19, -13, 3, 79]
  Compare 22 and -19
  Swap 22 and -19
  List after swap: [-66, -27, -43, -19, 22, -13, 3, 79]
  Compare 22 and -13
  Swap 22 and -13
  List after swap: [-66, -27, -43, -19, -13, 22, 3, 79]
  Compare 22 and 3
  Swap 22 and 3
  List after swap: [-66, -27, -43, -19, -13, 3, 22, 79]

Pass 3:
  Compare -66 and -27
  No swap needed
  Compare -27 and -43
  Swap -27 and -43
  List after swap: [-66, -43, -27, -19, -13, 3, 22, 79]
  Compare -27 and -19
  No swap needed
  Compare -19 and -13
  No swap needed
  Compare -13 and 3
  No swap needed

Pass 4:
  Compare -66 and -43
  No swap needed
  Compare -43 and -27
  No swap needed
  Compare -27 and -19
  No swap needed
  Compare -19 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -43, -27, -19, -13, 3, 22, 79]
</think>

<response>-66, -43, -27, -19, -13, 3, 22, 79</response>


input: Carry out the bubble sort algorithm on -70, -93, 78, -63, -74, -83, 54 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-70, -93, 78, -63, -74, -83, 54]

Pass 1:
  Compare -70 and -93
  Swap -70 and -93
  List after swap: [-93, -70, 78, -63, -74, -83, 54]
  Compare -70 and 78
  No swap needed
  Compare 78 and -63
  Swap 78 and -63
  List after swap: [-93, -70, -63, 78, -74, -83, 54]
  Compare 78 and -74
  Swap 78 and -74
  List after swap: [-93, -70, -63, -74, 78, -83, 54]
  Compare 78 and -83
  Swap 78 and -83
  List after swap: [-93, -70, -63, -74, -83, 78, 54]
  Compare 78 and 54
  Swap 78 and 54
  List after swap: [-93, -70, -63, -74, -83, 54, 78]

Pass 2:
  Compare -93 and -70
  No swap needed
  Compare -70 and -63
  No swap needed
  Compare -63 and -74
  Swap -63 and -74
  List after swap: [-93, -70, -74, -63, -83, 54, 78]
  Compare -63 and -83
  Swap -63 and -83
  List after swap: [-93, -70, -74, -83, -63, 54, 78]
  Compare -63 and 54
  No swap needed

Pass 3:
  Compare -93 and -70
  No swap needed
  Compare -70 and -74
  Swap -70 and -74
  List after swap: [-93, -74, -70, -83, -63, 54, 78]
  Compare -70 and -83
  Swap -70 and -83
  List after swap: [-93, -74, -83, -70, -63, 54, 78]
  Compare -70 and -63
  No swap needed

Pass 4:
  Compare -93 and -74
  No swap needed
  Compare -74 and -83
  Swap -74 and -83
  List after swap: [-93, -83, -74, -70, -63, 54, 78]
  Compare -74 and -70
  No swap needed

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

Final sorted list: [-93, -83, -74, -70, -63, 54, 78]
</think>

<response>-93, -83, -74, -70, -63, 54, 78</response>


input: Execute bubble sort to sort -94, -3, -74 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-94, -3, -74]

Pass 1:
  Compare -94 and -3
  No swap needed
  Compare -3 and -74
  Swap -3 and -74
  List after swap: [-94, -74, -3]

Pass 2:
  Compare -94 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -74, -3]
</think>

<response>-94, -74, -3</response>


input: Using the bubble sort method, sort 5, 73, -56, 69, 21, -44, 28 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [5, 73, -56, 69, 21, -44, 28]

Pass 1:
  Compare 5 and 73
  No swap needed
  Compare 73 and -56
  Swap 73 and -56
  List after swap: [5, -56, 73, 69, 21, -44, 28]
  Compare 73 and 69
  Swap 73 and 69
  List after swap: [5, -56, 69, 73, 21, -44, 28]
  Compare 73 and 21
  Swap 73 and 21
  List after swap: [5, -56, 69, 21, 73, -44, 28]
  Compare 73 and -44
  Swap 73 and -44
  List after swap: [5, -56, 69, 21, -44, 73, 28]
  Compare 73 and 28
  Swap 73 and 28
  List after swap: [5, -56, 69, 21, -44, 28, 73]

Pass 2:
  Compare 5 and -56
  Swap 5 and -56
  List after swap: [-56, 5, 69, 21, -44, 28, 73]
  Compare 5 and 69
  No swap needed
  Compare 69 and 21
  Swap 69 and 21
  List after swap: [-56, 5, 21, 69, -44, 28, 73]
  Compare 69 and -44
  Swap 69 and -44
  List after swap: [-56, 5, 21, -44, 69, 28, 73]
  Compare 69 and 28
  Swap 69 and 28
  List after swap: [-56, 5, 21, -44, 28, 69, 73]

Pass 3:
  Compare -56 and 5
  No swap needed
  Compare 5 and 21
  No swap needed
  Compare 21 and -44
  Swap 21 and -44
  List after swap: [-56, 5, -44, 21, 28, 69, 73]
  Compare 21 and 28
  No swap needed

Pass 4:
  Compare -56 and 5
  No swap needed
  Compare 5 and -44
  Swap 5 and -44
  List after swap: [-56, -44, 5, 21, 28, 69, 73]
  Compare 5 and 21
  No swap needed

Pass 5:
  Compare -56 and -44
  No swap needed
  Compare -44 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -44, 5, 21, 28, 69, 73]
</think>

<response>-56, -44, 5, 21, 28, 69, 73</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 17, -12, 77, 83, 8, -87.

output:
<think>
Initial list: [17, -12, 77, 83, 8, -87]

Pass 1:
  Compare 17 and -12
  Swap 17 and -12
  List after swap: [-12, 17, 77, 83, 8, -87]
  Compare 17 and 77
  No swap needed
  Compare 77 and 83
  No swap needed
  Compare 83 and 8
  Swap 83 and 8
  List after swap: [-12, 17, 77, 8, 83, -87]
  Compare 83 and -87
  Swap 83 and -87
  List after swap: [-12, 17, 77, 8, -87, 83]

Pass 2:
  Compare -12 and 17
  No swap needed
  Compare 17 and 77
  No swap needed
  Compare 77 and 8
  Swap 77 and 8
  List after swap: [-12, 17, 8, 77, -87, 83]
  Compare 77 and -87
  Swap 77 and -87
  List after swap: [-12, 17, 8, -87, 77, 83]

Pass 3:
  Compare -12 and 17
  No swap needed
  Compare 17 and 8
  Swap 17 and 8
  List after swap: [-12, 8, 17, -87, 77, 83]
  Compare 17 and -87
  Swap 17 and -87
  List after swap: [-12, 8, -87, 17, 77, 83]

Pass 4:
  Compare -12 and 8
  No swap needed
  Compare 8 and -87
  Swap 8 and -87
  List after swap: [-12, -87, 8, 17, 77, 83]

Pass 5:
  Compare -12 and -87
  Swap -12 and -87
  List after swap: [-87, -12, 8, 17, 77, 83]

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

Final sorted list: [-87, -12, 8, 17, 77, 83]
</think>

<response>-87, -12, 8, 17, 77, 83</response>


input: Sort the list 12, -19, 30, -72 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [12, -19, 30, -72]

Pass 1:
  Compare 12 and -19
  Swap 12 and -19
  List after swap: [-19, 12, 30, -72]
  Compare 12 and 30
  No swap needed
  Compare 30 and -72
  Swap 30 and -72
  List after swap: [-19, 12, -72, 30]

Pass 2:
  Compare -19 and 12
  No swap needed
  Compare 12 and -72
  Swap 12 and -72
  List after swap: [-19, -72, 12, 30]

Pass 3:
  Compare -19 and -72
  Swap -19 and -72
  List after swap: [-72, -19, 12, 30]

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

Final sorted list: [-72, -19, 12, 30]
</think>

<response>-72, -19, 12, 30</response>


input: Implement bubble sort on 59, -2 to achieve ascending order, writing out each step in detail.

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

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

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

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

<response>-2, 59</response>


input: Sort these integers -50, 55, -83, -39, 14, -7, -54, -63 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-50, 55, -83, -39, 14, -7, -54, -63]

Pass 1:
  Compare -50 and 55
  No swap needed
  Compare 55 and -83
  Swap 55 and -83
  List after swap: [-50, -83, 55, -39, 14, -7, -54, -63]
  Compare 55 and -39
  Swap 55 and -39
  List after swap: [-50, -83, -39, 55, 14, -7, -54, -63]
  Compare 55 and 14
  Swap 55 and 14
  List after swap: [-50, -83, -39, 14, 55, -7, -54, -63]
  Compare 55 and -7
  Swap 55 and -7
  List after swap: [-50, -83, -39, 14, -7, 55, -54, -63]
  Compare 55 and -54
  Swap 55 and -54
  List after swap: [-50, -83, -39, 14, -7, -54, 55, -63]
  Compare 55 and -63
  Swap 55 and -63
  List after swap: [-50, -83, -39, 14, -7, -54, -63, 55]

Pass 2:
  Compare -50 and -83
  Swap -50 and -83
  List after swap: [-83, -50, -39, 14, -7, -54, -63, 55]
  Compare -50 and -39
  No swap needed
  Compare -39 and 14
  No swap needed
  Compare 14 and -7
  Swap 14 and -7
  List after swap: [-83, -50, -39, -7, 14, -54, -63, 55]
  Compare 14 and -54
  Swap 14 and -54
  List after swap: [-83, -50, -39, -7, -54, 14, -63, 55]
  Compare 14 and -63
  Swap 14 and -63
  List after swap: [-83, -50, -39, -7, -54, -63, 14, 55]

Pass 3:
  Compare -83 and -50
  No swap needed
  Compare -50 and -39
  No swap needed
  Compare -39 and -7
  No swap needed
  Compare -7 and -54
  Swap -7 and -54
  List after swap: [-83, -50, -39, -54, -7, -63, 14, 55]
  Compare -7 and -63
  Swap -7 and -63
  List after swap: [-83, -50, -39, -54, -63, -7, 14, 55]

Pass 4:
  Compare -83 and -50
  No swap needed
  Compare -50 and -39
  No swap needed
  Compare -39 and -54
  Swap -39 and -54
  List after swap: [-83, -50, -54, -39, -63, -7, 14, 55]
  Compare -39 and -63
  Swap -39 and -63
  List after swap: [-83, -50, -54, -63, -39, -7, 14, 55]

Pass 5:
  Compare -83 and -50
  No swap needed
  Compare -50 and -54
  Swap -50 and -54
  List after swap: [-83, -54, -50, -63, -39, -7, 14, 55]
  Compare -50 and -63
  Swap -50 and -63
  List after swap: [-83, -54, -63, -50, -39, -7, 14, 55]

Pass 6:
  Compare -83 and -54
  No swap needed
  Compare -54 and -63
  Swap -54 and -63
  List after swap: [-83, -63, -54, -50, -39, -7, 14, 55]

Pass 7:
  Compare -83 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -63, -54, -50, -39, -7, 14, 55]
</think>

<response>-83, -63, -54, -50, -39, -7, 14, 55</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -71, -51, 40, -67, -25.

output:
<think>
Initial list: [-71, -51, 40, -67, -25]

Pass 1:
  Compare -71 and -51
  No swap needed
  Compare -51 and 40
  No swap needed
  Compare 40 and -67
  Swap 40 and -67
  List after swap: [-71, -51, -67, 40, -25]
  Compare 40 and -25
  Swap 40 and -25
  List after swap: [-71, -51, -67, -25, 40]

Pass 2:
  Compare -71 and -51
  No swap needed
  Compare -51 and -67
  Swap -51 and -67
  List after swap: [-71, -67, -51, -25, 40]
  Compare -51 and -25
  No swap needed

Pass 3:
  Compare -71 and -67
  No swap needed
  Compare -67 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -67, -51, -25, 40]
</think>

<response>-71, -67, -51, -25, 40</response>


input: Carry out the bubble sort algorithm on 31, -30, 38, 95, 15 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [31, -30, 38, 95, 15]

Pass 1:
  Compare 31 and -30
  Swap 31 and -30
  List after swap: [-30, 31, 38, 95, 15]
  Compare 31 and 38
  No swap needed
  Compare 38 and 95
  No swap needed
  Compare 95 and 15
  Swap 95 and 15
  List after swap: [-30, 31, 38, 15, 95]

Pass 2:
  Compare -30 and 31
  No swap needed
  Compare 31 and 38
  No swap needed
  Compare 38 and 15
  Swap 38 and 15
  List after swap: [-30, 31, 15, 38, 95]

Pass 3:
  Compare -30 and 31
  No swap needed
  Compare 31 and 15
  Swap 31 and 15
  List after swap: [-30, 15, 31, 38, 95]

Pass 4:
  Compare -30 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, 15, 31, 38, 95]
</think>

<response>-30, 15, 31, 38, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -60, -37, -28, 14, 72.

output:
<think>
Initial list: [-60, -37, -28, 14, 72]

Pass 1:
  Compare -60 and -37
  No swap needed
  Compare -37 and -28
  No swap needed
  Compare -28 and 14
  No swap needed
  Compare 14 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -37, -28, 14, 72]
</think>

<response>-60, -37, -28, 14, 72</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -95, 6.

output:
<think>
Initial list: [-95, 6]

Pass 1:
  Compare -95 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, 6]
</think>

<response>-95, 6</response>


input: Execute bubble sort to sort -19, -51, 13, 4 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-19, -51, 13, 4]

Pass 1:
  Compare -19 and -51
  Swap -19 and -51
  List after swap: [-51, -19, 13, 4]
  Compare -19 and 13
  No swap needed
  Compare 13 and 4
  Swap 13 and 4
  List after swap: [-51, -19, 4, 13]

Pass 2:
  Compare -51 and -19
  No swap needed
  Compare -19 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -19, 4, 13]
</think>

<response>-51, -19, 4, 13</response>


input: Using the bubble sort method, sort 8, 37, 16, -1, -85, -30 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [8, 37, 16, -1, -85, -30]

Pass 1:
  Compare 8 and 37
  No swap needed
  Compare 37 and 16
  Swap 37 and 16
  List after swap: [8, 16, 37, -1, -85, -30]
  Compare 37 and -1
  Swap 37 and -1
  List after swap: [8, 16, -1, 37, -85, -30]
  Compare 37 and -85
  Swap 37 and -85
  List after swap: [8, 16, -1, -85, 37, -30]
  Compare 37 and -30
  Swap 37 and -30
  List after swap: [8, 16, -1, -85, -30, 37]

Pass 2:
  Compare 8 and 16
  No swap needed
  Compare 16 and -1
  Swap 16 and -1
  List after swap: [8, -1, 16, -85, -30, 37]
  Compare 16 and -85
  Swap 16 and -85
  List after swap: [8, -1, -85, 16, -30, 37]
  Compare 16 and -30
  Swap 16 and -30
  List after swap: [8, -1, -85, -30, 16, 37]

Pass 3:
  Compare 8 and -1
  Swap 8 and -1
  List after swap: [-1, 8, -85, -30, 16, 37]
  Compare 8 and -85
  Swap 8 and -85
  List after swap: [-1, -85, 8, -30, 16, 37]
  Compare 8 and -30
  Swap 8 and -30
  List after swap: [-1, -85, -30, 8, 16, 37]

Pass 4:
  Compare -1 and -85
  Swap -1 and -85
  List after swap: [-85, -1, -30, 8, 16, 37]
  Compare -1 and -30
  Swap -1 and -30
  List after swap: [-85, -30, -1, 8, 16, 37]

Pass 5:
  Compare -85 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -30, -1, 8, 16, 37]
</think>

<response>-85, -30, -1, 8, 16, 37</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -5, -14, 81, 35, 3, -81, 11, -35.

output:
<think>
Initial list: [-5, -14, 81, 35, 3, -81, 11, -35]

Pass 1:
  Compare -5 and -14
  Swap -5 and -14
  List after swap: [-14, -5, 81, 35, 3, -81, 11, -35]
  Compare -5 and 81
  No swap needed
  Compare 81 and 35
  Swap 81 and 35
  List after swap: [-14, -5, 35, 81, 3, -81, 11, -35]
  Compare 81 and 3
  Swap 81 and 3
  List after swap: [-14, -5, 35, 3, 81, -81, 11, -35]
  Compare 81 and -81
  Swap 81 and -81
  List after swap: [-14, -5, 35, 3, -81, 81, 11, -35]
  Compare 81 and 11
  Swap 81 and 11
  List after swap: [-14, -5, 35, 3, -81, 11, 81, -35]
  Compare 81 and -35
  Swap 81 and -35
  List after swap: [-14, -5, 35, 3, -81, 11, -35, 81]

Pass 2:
  Compare -14 and -5
  No swap needed
  Compare -5 and 35
  No swap needed
  Compare 35 and 3
  Swap 35 and 3
  List after swap: [-14, -5, 3, 35, -81, 11, -35, 81]
  Compare 35 and -81
  Swap 35 and -81
  List after swap: [-14, -5, 3, -81, 35, 11, -35, 81]
  Compare 35 and 11
  Swap 35 and 11
  List after swap: [-14, -5, 3, -81, 11, 35, -35, 81]
  Compare 35 and -35
  Swap 35 and -35
  List after swap: [-14, -5, 3, -81, 11, -35, 35, 81]

Pass 3:
  Compare -14 and -5
  No swap needed
  Compare -5 and 3
  No swap needed
  Compare 3 and -81
  Swap 3 and -81
  List after swap: [-14, -5, -81, 3, 11, -35, 35, 81]
  Compare 3 and 11
  No swap needed
  Compare 11 and -35
  Swap 11 and -35
  List after swap: [-14, -5, -81, 3, -35, 11, 35, 81]

Pass 4:
  Compare -14 and -5
  No swap needed
  Compare -5 and -81
  Swap -5 and -81
  List after swap: [-14, -81, -5, 3, -35, 11, 35, 81]
  Compare -5 and 3
  No swap needed
  Compare 3 and -35
  Swap 3 and -35
  List after swap: [-14, -81, -5, -35, 3, 11, 35, 81]

Pass 5:
  Compare -14 and -81
  Swap -14 and -81
  List after swap: [-81, -14, -5, -35, 3, 11, 35, 81]
  Compare -14 and -5
  No swap needed
  Compare -5 and -35
  Swap -5 and -35
  List after swap: [-81, -14, -35, -5, 3, 11, 35, 81]

Pass 6:
  Compare -81 and -14
  No swap needed
  Compare -14 and -35
  Swap -14 and -35
  List after swap: [-81, -35, -14, -5, 3, 11, 35, 81]

Pass 7:
  Compare -81 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -35, -14, -5, 3, 11, 35, 81]
</think>

<response>-81, -35, -14, -5, 3, 11, 35, 81</response>


input: Using the bubble sort method, sort 21, -29, -76, 71, 86, 13, 47, 0, -1, -36 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [21, -29, -76, 71, 86, 13, 47, 0, -1, -36]

Pass 1:
  Compare 21 and -29
  Swap 21 and -29
  List after swap: [-29, 21, -76, 71, 86, 13, 47, 0, -1, -36]
  Compare 21 and -76
  Swap 21 and -76
  List after swap: [-29, -76, 21, 71, 86, 13, 47, 0, -1, -36]
  Compare 21 and 71
  No swap needed
  Compare 71 and 86
  No swap needed
  Compare 86 and 13
  Swap 86 and 13
  List after swap: [-29, -76, 21, 71, 13, 86, 47, 0, -1, -36]
  Compare 86 and 47
  Swap 86 and 47
  List after swap: [-29, -76, 21, 71, 13, 47, 86, 0, -1, -36]
  Compare 86 and 0
  Swap 86 and 0
  List after swap: [-29, -76, 21, 71, 13, 47, 0, 86, -1, -36]
  Compare 86 and -1
  Swap 86 and -1
  List after swap: [-29, -76, 21, 71, 13, 47, 0, -1, 86, -36]
  Compare 86 and -36
  Swap 86 and -36
  List after swap: [-29, -76, 21, 71, 13, 47, 0, -1, -36, 86]

Pass 2:
  Compare -29 and -76
  Swap -29 and -76
  List after swap: [-76, -29, 21, 71, 13, 47, 0, -1, -36, 86]
  Compare -29 and 21
  No swap needed
  Compare 21 and 71
  No swap needed
  Compare 71 and 13
  Swap 71 and 13
  List after swap: [-76, -29, 21, 13, 71, 47, 0, -1, -36, 86]
  Compare 71 and 47
  Swap 71 and 47
  List after swap: [-76, -29, 21, 13, 47, 71, 0, -1, -36, 86]
  Compare 71 and 0
  Swap 71 and 0
  List after swap: [-76, -29, 21, 13, 47, 0, 71, -1, -36, 86]
  Compare 71 and -1
  Swap 71 and -1
  List after swap: [-76, -29, 21, 13, 47, 0, -1, 71, -36, 86]
  Compare 71 and -36
  Swap 71 and -36
  List after swap: [-76, -29, 21, 13, 47, 0, -1, -36, 71, 86]

Pass 3:
  Compare -76 and -29
  No swap needed
  Compare -29 and 21
  No swap needed
  Compare 21 and 13
  Swap 21 and 13
  List after swap: [-76, -29, 13, 21, 47, 0, -1, -36, 71, 86]
  Compare 21 and 47
  No swap needed
  Compare 47 and 0
  Swap 47 and 0
  List after swap: [-76, -29, 13, 21, 0, 47, -1, -36, 71, 86]
  Compare 47 and -1
  Swap 47 and -1
  List after swap: [-76, -29, 13, 21, 0, -1, 47, -36, 71, 86]
  Compare 47 and -36
  Swap 47 and -36
  List after swap: [-76, -29, 13, 21, 0, -1, -36, 47, 71, 86]

Pass 4:
  Compare -76 and -29
  No swap needed
  Compare -29 and 13
  No swap needed
  Compare 13 and 21
  No swap needed
  Compare 21 and 0
  Swap 21 and 0
  List after swap: [-76, -29, 13, 0, 21, -1, -36, 47, 71, 86]
  Compare 21 and -1
  Swap 21 and -1
  List after swap: [-76, -29, 13, 0, -1, 21, -36, 47, 71, 86]
  Compare 21 and -36
  Swap 21 and -36
  List after swap: [-76, -29, 13, 0, -1, -36, 21, 47, 71, 86]

Pass 5:
  Compare -76 and -29
  No swap needed
  Compare -29 and 13
  No swap needed
  Compare 13 and 0
  Swap 13 and 0
  List after swap: [-76, -29, 0, 13, -1, -36, 21, 47, 71, 86]
  Compare 13 and -1
  Swap 13 and -1
  List after swap: [-76, -29, 0, -1, 13, -36, 21, 47, 71, 86]
  Compare 13 and -36
  Swap 13 and -36
  List after swap: [-76, -29, 0, -1, -36, 13, 21, 47, 71, 86]

Pass 6:
  Compare -76 and -29
  No swap needed
  Compare -29 and 0
  No swap needed
  Compare 0 and -1
  Swap 0 and -1
  List after swap: [-76, -29, -1, 0, -36, 13, 21, 47, 71, 86]
  Compare 0 and -36
  Swap 0 and -36
  List after swap: [-76, -29, -1, -36, 0, 13, 21, 47, 71, 86]

Pass 7:
  Compare -76 and -29
  No swap needed
  Compare -29 and -1
  No swap needed
  Compare -1 and -36
  Swap -1 and -36
  List after swap: [-76, -29, -36, -1, 0, 13, 21, 47, 71, 86]

Pass 8:
  Compare -76 and -29
  No swap needed
  Compare -29 and -36
  Swap -29 and -36
  List after swap: [-76, -36, -29, -1, 0, 13, 21, 47, 71, 86]

Pass 9:
  Compare -76 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -36, -29, -1, 0, 13, 21, 47, 71, 86]
</think>

<response>-76, -36, -29, -1, 0, 13, 21, 47, 71, 86</response>


input: Arrange the numbers -41, -31 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-41, -31]

Pass 1:
  Compare -41 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -31]
</think>

<response>-41, -31</response>


input: Use the bubble sort technique to reorder 41, 84 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [41, 84]

Pass 1:
  Compare 41 and 84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [41, 84]
</think>

<response>41, 84</response>


input: Use the bubble sort technique to reorder -98, -70, -66, -82, -65, -25, 59, -35, 85 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-98, -70, -66, -82, -65, -25, 59, -35, 85]

Pass 1:
  Compare -98 and -70
  No swap needed
  Compare -70 and -66
  No swap needed
  Compare -66 and -82
  Swap -66 and -82
  List after swap: [-98, -70, -82, -66, -65, -25, 59, -35, 85]
  Compare -66 and -65
  No swap needed
  Compare -65 and -25
  No swap needed
  Compare -25 and 59
  No swap needed
  Compare 59 and -35
  Swap 59 and -35
  List after swap: [-98, -70, -82, -66, -65, -25, -35, 59, 85]
  Compare 59 and 85
  No swap needed

Pass 2:
  Compare -98 and -70
  No swap needed
  Compare -70 and -82
  Swap -70 and -82
  List after swap: [-98, -82, -70, -66, -65, -25, -35, 59, 85]
  Compare -70 and -66
  No swap needed
  Compare -66 and -65
  No swap needed
  Compare -65 and -25
  No swap needed
  Compare -25 and -35
  Swap -25 and -35
  List after swap: [-98, -82, -70, -66, -65, -35, -25, 59, 85]
  Compare -25 and 59
  No swap needed

Pass 3:
  Compare -98 and -82
  No swap needed
  Compare -82 and -70
  No swap needed
  Compare -70 and -66
  No swap needed
  Compare -66 and -65
  No swap needed
  Compare -65 and -35
  No swap needed
  Compare -35 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -82, -70, -66, -65, -35, -25, 59, 85]
</think>

<response>-98, -82, -70, -66, -65, -35, -25, 59, 85</response>


input: Execute bubble sort to sort -8, -100, 58 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-8, -100, 58]

Pass 1:
  Compare -8 and -100
  Swap -8 and -100
  List after swap: [-100, -8, 58]
  Compare -8 and 58
  No swap needed

Pass 2:
  Compare -100 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -8, 58]
</think>

<response>-100, -8, 58</response>


input: Sort the list 81, 35, 16, 19, 98, 36, -15, 78, 31, -69 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [81, 35, 16, 19, 98, 36, -15, 78, 31, -69]

Pass 1:
  Compare 81 and 35
  Swap 81 and 35
  List after swap: [35, 81, 16, 19, 98, 36, -15, 78, 31, -69]
  Compare 81 and 16
  Swap 81 and 16
  List after swap: [35, 16, 81, 19, 98, 36, -15, 78, 31, -69]
  Compare 81 and 19
  Swap 81 and 19
  List after swap: [35, 16, 19, 81, 98, 36, -15, 78, 31, -69]
  Compare 81 and 98
  No swap needed
  Compare 98 and 36
  Swap 98 and 36
  List after swap: [35, 16, 19, 81, 36, 98, -15, 78, 31, -69]
  Compare 98 and -15
  Swap 98 and -15
  List after swap: [35, 16, 19, 81, 36, -15, 98, 78, 31, -69]
  Compare 98 and 78
  Swap 98 and 78
  List after swap: [35, 16, 19, 81, 36, -15, 78, 98, 31, -69]
  Compare 98 and 31
  Swap 98 and 31
  List after swap: [35, 16, 19, 81, 36, -15, 78, 31, 98, -69]
  Compare 98 and -69
  Swap 98 and -69
  List after swap: [35, 16, 19, 81, 36, -15, 78, 31, -69, 98]

Pass 2:
  Compare 35 and 16
  Swap 35 and 16
  List after swap: [16, 35, 19, 81, 36, -15, 78, 31, -69, 98]
  Compare 35 and 19
  Swap 35 and 19
  List after swap: [16, 19, 35, 81, 36, -15, 78, 31, -69, 98]
  Compare 35 and 81
  No swap needed
  Compare 81 and 36
  Swap 81 and 36
  List after swap: [16, 19, 35, 36, 81, -15, 78, 31, -69, 98]
  Compare 81 and -15
  Swap 81 and -15
  List after swap: [16, 19, 35, 36, -15, 81, 78, 31, -69, 98]
  Compare 81 and 78
  Swap 81 and 78
  List after swap: [16, 19, 35, 36, -15, 78, 81, 31, -69, 98]
  Compare 81 and 31
  Swap 81 and 31
  List after swap: [16, 19, 35, 36, -15, 78, 31, 81, -69, 98]
  Compare 81 and -69
  Swap 81 and -69
  List after swap: [16, 19, 35, 36, -15, 78, 31, -69, 81, 98]

Pass 3:
  Compare 16 and 19
  No swap needed
  Compare 19 and 35
  No swap needed
  Compare 35 and 36
  No swap needed
  Compare 36 and -15
  Swap 36 and -15
  List after swap: [16, 19, 35, -15, 36, 78, 31, -69, 81, 98]
  Compare 36 and 78
  No swap needed
  Compare 78 and 31
  Swap 78 and 31
  List after swap: [16, 19, 35, -15, 36, 31, 78, -69, 81, 98]
  Compare 78 and -69
  Swap 78 and -69
  List after swap: [16, 19, 35, -15, 36, 31, -69, 78, 81, 98]

Pass 4:
  Compare 16 and 19
  No swap needed
  Compare 19 and 35
  No swap needed
  Compare 35 and -15
  Swap 35 and -15
  List after swap: [16, 19, -15, 35, 36, 31, -69, 78, 81, 98]
  Compare 35 and 36
  No swap needed
  Compare 36 and 31
  Swap 36 and 31
  List after swap: [16, 19, -15, 35, 31, 36, -69, 78, 81, 98]
  Compare 36 and -69
  Swap 36 and -69
  List after swap: [16, 19, -15, 35, 31, -69, 36, 78, 81, 98]

Pass 5:
  Compare 16 and 19
  No swap needed
  Compare 19 and -15
  Swap 19 and -15
  List after swap: [16, -15, 19, 35, 31, -69, 36, 78, 81, 98]
  Compare 19 and 35
  No swap needed
  Compare 35 and 31
  Swap 35 and 31
  List after swap: [16, -15, 19, 31, 35, -69, 36, 78, 81, 98]
  Compare 35 and -69
  Swap 35 and -69
  List after swap: [16, -15, 19, 31, -69, 35, 36, 78, 81, 98]

Pass 6:
  Compare 16 and -15
  Swap 16 and -15
  List after swap: [-15, 16, 19, 31, -69, 35, 36, 78, 81, 98]
  Compare 16 and 19
  No swap needed
  Compare 19 and 31
  No swap needed
  Compare 31 and -69
  Swap 31 and -69
  List after swap: [-15, 16, 19, -69, 31, 35, 36, 78, 81, 98]

Pass 7:
  Compare -15 and 16
  No swap needed
  Compare 16 and 19
  No swap needed
  Compare 19 and -69
  Swap 19 and -69
  List after swap: [-15, 16, -69, 19, 31, 35, 36, 78, 81, 98]

Pass 8:
  Compare -15 and 16
  No swap needed
  Compare 16 and -69
  Swap 16 and -69
  List after swap: [-15, -69, 16, 19, 31, 35, 36, 78, 81, 98]

Pass 9:
  Compare -15 and -69
  Swap -15 and -69
  List after swap: [-69, -15, 16, 19, 31, 35, 36, 78, 81, 98]

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

Final sorted list: [-69, -15, 16, 19, 31, 35, 36, 78, 81, 98]
</think>

<response>-69, -15, 16, 19, 31, 35, 36, 78, 81, 98</response>


input: Carry out the bubble sort algorithm on 92, 77, 20, 1, -28, 30, 37, -5 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [92, 77, 20, 1, -28, 30, 37, -5]

Pass 1:
  Compare 92 and 77
  Swap 92 and 77
  List after swap: [77, 92, 20, 1, -28, 30, 37, -5]
  Compare 92 and 20
  Swap 92 and 20
  List after swap: [77, 20, 92, 1, -28, 30, 37, -5]
  Compare 92 and 1
  Swap 92 and 1
  List after swap: [77, 20, 1, 92, -28, 30, 37, -5]
  Compare 92 and -28
  Swap 92 and -28
  List after swap: [77, 20, 1, -28, 92, 30, 37, -5]
  Compare 92 and 30
  Swap 92 and 30
  List after swap: [77, 20, 1, -28, 30, 92, 37, -5]
  Compare 92 and 37
  Swap 92 and 37
  List after swap: [77, 20, 1, -28, 30, 37, 92, -5]
  Compare 92 and -5
  Swap 92 and -5
  List after swap: [77, 20, 1, -28, 30, 37, -5, 92]

Pass 2:
  Compare 77 and 20
  Swap 77 and 20
  List after swap: [20, 77, 1, -28, 30, 37, -5, 92]
  Compare 77 and 1
  Swap 77 and 1
  List after swap: [20, 1, 77, -28, 30, 37, -5, 92]
  Compare 77 and -28
  Swap 77 and -28
  List after swap: [20, 1, -28, 77, 30, 37, -5, 92]
  Compare 77 and 30
  Swap 77 and 30
  List after swap: [20, 1, -28, 30, 77, 37, -5, 92]
  Compare 77 and 37
  Swap 77 and 37
  List after swap: [20, 1, -28, 30, 37, 77, -5, 92]
  Compare 77 and -5
  Swap 77 and -5
  List after swap: [20, 1, -28, 30, 37, -5, 77, 92]

Pass 3:
  Compare 20 and 1
  Swap 20 and 1
  List after swap: [1, 20, -28, 30, 37, -5, 77, 92]
  Compare 20 and -28
  Swap 20 and -28
  List after swap: [1, -28, 20, 30, 37, -5, 77, 92]
  Compare 20 and 30
  No swap needed
  Compare 30 and 37
  No swap needed
  Compare 37 and -5
  Swap 37 and -5
  List after swap: [1, -28, 20, 30, -5, 37, 77, 92]

Pass 4:
  Compare 1 and -28
  Swap 1 and -28
  List after swap: [-28, 1, 20, 30, -5, 37, 77, 92]
  Compare 1 and 20
  No swap needed
  Compare 20 and 30
  No swap needed
  Compare 30 and -5
  Swap 30 and -5
  List after swap: [-28, 1, 20, -5, 30, 37, 77, 92]

Pass 5:
  Compare -28 and 1
  No swap needed
  Compare 1 and 20
  No swap needed
  Compare 20 and -5
  Swap 20 and -5
  List after swap: [-28, 1, -5, 20, 30, 37, 77, 92]

Pass 6:
  Compare -28 and 1
  No swap needed
  Compare 1 and -5
  Swap 1 and -5
  List after swap: [-28, -5, 1, 20, 30, 37, 77, 92]

Pass 7:
  Compare -28 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, -5, 1, 20, 30, 37, 77, 92]
</think>

<response>-28, -5, 1, 20, 30, 37, 77, 92</response>


input: Arrange the numbers -20, -31, -4 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-20, -31, -4]

Pass 1:
  Compare -20 and -31
  Swap -20 and -31
  List after swap: [-31, -20, -4]
  Compare -20 and -4
  No swap needed

Pass 2:
  Compare -31 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -20, -4]
</think>

<response>-31, -20, -4</response>


input: Arrange the numbers -53, 75, 77, -83, -90 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-53, 75, 77, -83, -90]

Pass 1:
  Compare -53 and 75
  No swap needed
  Compare 75 and 77
  No swap needed
  Compare 77 and -83
  Swap 77 and -83
  List after swap: [-53, 75, -83, 77, -90]
  Compare 77 and -90
  Swap 77 and -90
  List after swap: [-53, 75, -83, -90, 77]

Pass 2:
  Compare -53 and 75
  No swap needed
  Compare 75 and -83
  Swap 75 and -83
  List after swap: [-53, -83, 75, -90, 77]
  Compare 75 and -90
  Swap 75 and -90
  List after swap: [-53, -83, -90, 75, 77]

Pass 3:
  Compare -53 and -83
  Swap -53 and -83
  List after swap: [-83, -53, -90, 75, 77]
  Compare -53 and -90
  Swap -53 and -90
  List after swap: [-83, -90, -53, 75, 77]

Pass 4:
  Compare -83 and -90
  Swap -83 and -90
  List after swap: [-90, -83, -53, 75, 77]

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

Final sorted list: [-90, -83, -53, 75, 77]
</think>

<response>-90, -83, -53, 75, 77</response>


input: Demonstrate how bubble sort orders the integers -9, 52, 26, -44, 81, 5, -14, -74, 73, -82 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-9, 52, 26, -44, 81, 5, -14, -74, 73, -82]

Pass 1:
  Compare -9 and 52
  No swap needed
  Compare 52 and 26
  Swap 52 and 26
  List after swap: [-9, 26, 52, -44, 81, 5, -14, -74, 73, -82]
  Compare 52 and -44
  Swap 52 and -44
  List after swap: [-9, 26, -44, 52, 81, 5, -14, -74, 73, -82]
  Compare 52 and 81
  No swap needed
  Compare 81 and 5
  Swap 81 and 5
  List after swap: [-9, 26, -44, 52, 5, 81, -14, -74, 73, -82]
  Compare 81 and -14
  Swap 81 and -14
  List after swap: [-9, 26, -44, 52, 5, -14, 81, -74, 73, -82]
  Compare 81 and -74
  Swap 81 and -74
  List after swap: [-9, 26, -44, 52, 5, -14, -74, 81, 73, -82]
  Compare 81 and 73
  Swap 81 and 73
  List after swap: [-9, 26, -44, 52, 5, -14, -74, 73, 81, -82]
  Compare 81 and -82
  Swap 81 and -82
  List after swap: [-9, 26, -44, 52, 5, -14, -74, 73, -82, 81]

Pass 2:
  Compare -9 and 26
  No swap needed
  Compare 26 and -44
  Swap 26 and -44
  List after swap: [-9, -44, 26, 52, 5, -14, -74, 73, -82, 81]
  Compare 26 and 52
  No swap needed
  Compare 52 and 5
  Swap 52 and 5
  List after swap: [-9, -44, 26, 5, 52, -14, -74, 73, -82, 81]
  Compare 52 and -14
  Swap 52 and -14
  List after swap: [-9, -44, 26, 5, -14, 52, -74, 73, -82, 81]
  Compare 52 and -74
  Swap 52 and -74
  List after swap: [-9, -44, 26, 5, -14, -74, 52, 73, -82, 81]
  Compare 52 and 73
  No swap needed
  Compare 73 and -82
  Swap 73 and -82
  List after swap: [-9, -44, 26, 5, -14, -74, 52, -82, 73, 81]

Pass 3:
  Compare -9 and -44
  Swap -9 and -44
  List after swap: [-44, -9, 26, 5, -14, -74, 52, -82, 73, 81]
  Compare -9 and 26
  No swap needed
  Compare 26 and 5
  Swap 26 and 5
  List after swap: [-44, -9, 5, 26, -14, -74, 52, -82, 73, 81]
  Compare 26 and -14
  Swap 26 and -14
  List after swap: [-44, -9, 5, -14, 26, -74, 52, -82, 73, 81]
  Compare 26 and -74
  Swap 26 and -74
  List after swap: [-44, -9, 5, -14, -74, 26, 52, -82, 73, 81]
  Compare 26 and 52
  No swap needed
  Compare 52 and -82
  Swap 52 and -82
  List after swap: [-44, -9, 5, -14, -74, 26, -82, 52, 73, 81]

Pass 4:
  Compare -44 and -9
  No swap needed
  Compare -9 and 5
  No swap needed
  Compare 5 and -14
  Swap 5 and -14
  List after swap: [-44, -9, -14, 5, -74, 26, -82, 52, 73, 81]
  Compare 5 and -74
  Swap 5 and -74
  List after swap: [-44, -9, -14, -74, 5, 26, -82, 52, 73, 81]
  Compare 5 and 26
  No swap needed
  Compare 26 and -82
  Swap 26 and -82
  List after swap: [-44, -9, -14, -74, 5, -82, 26, 52, 73, 81]

Pass 5:
  Compare -44 and -9
  No swap needed
  Compare -9 and -14
  Swap -9 and -14
  List after swap: [-44, -14, -9, -74, 5, -82, 26, 52, 73, 81]
  Compare -9 and -74
  Swap -9 and -74
  List after swap: [-44, -14, -74, -9, 5, -82, 26, 52, 73, 81]
  Compare -9 and 5
  No swap needed
  Compare 5 and -82
  Swap 5 and -82
  List after swap: [-44, -14, -74, -9, -82, 5, 26, 52, 73, 81]

Pass 6:
  Compare -44 and -14
  No swap needed
  Compare -14 and -74
  Swap -14 and -74
  List after swap: [-44, -74, -14, -9, -82, 5, 26, 52, 73, 81]
  Compare -14 and -9
  No swap needed
  Compare -9 and -82
  Swap -9 and -82
  List after swap: [-44, -74, -14, -82, -9, 5, 26, 52, 73, 81]

Pass 7:
  Compare -44 and -74
  Swap -44 and -74
  List after swap: [-74, -44, -14, -82, -9, 5, 26, 52, 73, 81]
  Compare -44 and -14
  No swap needed
  Compare -14 and -82
  Swap -14 and -82
  List after swap: [-74, -44, -82, -14, -9, 5, 26, 52, 73, 81]

Pass 8:
  Compare -74 and -44
  No swap needed
  Compare -44 and -82
  Swap -44 and -82
  List after swap: [-74, -82, -44, -14, -9, 5, 26, 52, 73, 81]

Pass 9:
  Compare -74 and -82
  Swap -74 and -82
  List after swap: [-82, -74, -44, -14, -9, 5, 26, 52, 73, 81]

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

Final sorted list: [-82, -74, -44, -14, -9, 5, 26, 52, 73, 81]
</think>

<response>-82, -74, -44, -14, -9, 5, 26, 52, 73, 81</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -29, 30, 43, -42, -15, 86.

output:
<think>
Initial list: [-29, 30, 43, -42, -15, 86]

Pass 1:
  Compare -29 and 30
  No swap needed
  Compare 30 and 43
  No swap needed
  Compare 43 and -42
  Swap 43 and -42
  List after swap: [-29, 30, -42, 43, -15, 86]
  Compare 43 and -15
  Swap 43 and -15
  List after swap: [-29, 30, -42, -15, 43, 86]
  Compare 43 and 86
  No swap needed

Pass 2:
  Compare -29 and 30
  No swap needed
  Compare 30 and -42
  Swap 30 and -42
  List after swap: [-29, -42, 30, -15, 43, 86]
  Compare 30 and -15
  Swap 30 and -15
  List after swap: [-29, -42, -15, 30, 43, 86]
  Compare 30 and 43
  No swap needed

Pass 3:
  Compare -29 and -42
  Swap -29 and -42
  List after swap: [-42, -29, -15, 30, 43, 86]
  Compare -29 and -15
  No swap needed
  Compare -15 and 30
  No swap needed

Pass 4:
  Compare -42 and -29
  No swap needed
  Compare -29 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -29, -15, 30, 43, 86]
</think>

<response>-42, -29, -15, 30, 43, 86</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 92, -70, -4, 8, -60, -3, 89, -14, 69.

output:
<think>
Initial list: [92, -70, -4, 8, -60, -3, 89, -14, 69]

Pass 1:
  Compare 92 and -70
  Swap 92 and -70
  List after swap: [-70, 92, -4, 8, -60, -3, 89, -14, 69]
  Compare 92 and -4
  Swap 92 and -4
  List after swap: [-70, -4, 92, 8, -60, -3, 89, -14, 69]
  Compare 92 and 8
  Swap 92 and 8
  List after swap: [-70, -4, 8, 92, -60, -3, 89, -14, 69]
  Compare 92 and -60
  Swap 92 and -60
  List after swap: [-70, -4, 8, -60, 92, -3, 89, -14, 69]
  Compare 92 and -3
  Swap 92 and -3
  List after swap: [-70, -4, 8, -60, -3, 92, 89, -14, 69]
  Compare 92 and 89
  Swap 92 and 89
  List after swap: [-70, -4, 8, -60, -3, 89, 92, -14, 69]
  Compare 92 and -14
  Swap 92 and -14
  List after swap: [-70, -4, 8, -60, -3, 89, -14, 92, 69]
  Compare 92 and 69
  Swap 92 and 69
  List after swap: [-70, -4, 8, -60, -3, 89, -14, 69, 92]

Pass 2:
  Compare -70 and -4
  No swap needed
  Compare -4 and 8
  No swap needed
  Compare 8 and -60
  Swap 8 and -60
  List after swap: [-70, -4, -60, 8, -3, 89, -14, 69, 92]
  Compare 8 and -3
  Swap 8 and -3
  List after swap: [-70, -4, -60, -3, 8, 89, -14, 69, 92]
  Compare 8 and 89
  No swap needed
  Compare 89 and -14
  Swap 89 and -14
  List after swap: [-70, -4, -60, -3, 8, -14, 89, 69, 92]
  Compare 89 and 69
  Swap 89 and 69
  List after swap: [-70, -4, -60, -3, 8, -14, 69, 89, 92]

Pass 3:
  Compare -70 and -4
  No swap needed
  Compare -4 and -60
  Swap -4 and -60
  List after swap: [-70, -60, -4, -3, 8, -14, 69, 89, 92]
  Compare -4 and -3
  No swap needed
  Compare -3 and 8
  No swap needed
  Compare 8 and -14
  Swap 8 and -14
  List after swap: [-70, -60, -4, -3, -14, 8, 69, 89, 92]
  Compare 8 and 69
  No swap needed

Pass 4:
  Compare -70 and -60
  No swap needed
  Compare -60 and -4
  No swap needed
  Compare -4 and -3
  No swap needed
  Compare -3 and -14
  Swap -3 and -14
  List after swap: [-70, -60, -4, -14, -3, 8, 69, 89, 92]
  Compare -3 and 8
  No swap needed

Pass 5:
  Compare -70 and -60
  No swap needed
  Compare -60 and -4
  No swap needed
  Compare -4 and -14
  Swap -4 and -14
  List after swap: [-70, -60, -14, -4, -3, 8, 69, 89, 92]
  Compare -4 and -3
  No swap needed

Pass 6:
  Compare -70 and -60
  No swap needed
  Compare -60 and -14
  No swap needed
  Compare -14 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -60, -14, -4, -3, 8, 69, 89, 92]
</think>

<response>-70, -60, -14, -4, -3, 8, 69, 89, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -53, 29.

output:
<think>
Initial list: [-53, 29]

Pass 1:
  Compare -53 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, 29]
</think>

<response>-53, 29</response>


input: Using the bubble sort method, sort -58, -30, -28, 38, -86, 7, 34, 50, 89, -29 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-58, -30, -28, 38, -86, 7, 34, 50, 89, -29]

Pass 1:
  Compare -58 and -30
  No swap needed
  Compare -30 and -28
  No swap needed
  Compare -28 and 38
  No swap needed
  Compare 38 and -86
  Swap 38 and -86
  List after swap: [-58, -30, -28, -86, 38, 7, 34, 50, 89, -29]
  Compare 38 and 7
  Swap 38 and 7
  List after swap: [-58, -30, -28, -86, 7, 38, 34, 50, 89, -29]
  Compare 38 and 34
  Swap 38 and 34
  List after swap: [-58, -30, -28, -86, 7, 34, 38, 50, 89, -29]
  Compare 38 and 50
  No swap needed
  Compare 50 and 89
  No swap needed
  Compare 89 and -29
  Swap 89 and -29
  List after swap: [-58, -30, -28, -86, 7, 34, 38, 50, -29, 89]

Pass 2:
  Compare -58 and -30
  No swap needed
  Compare -30 and -28
  No swap needed
  Compare -28 and -86
  Swap -28 and -86
  List after swap: [-58, -30, -86, -28, 7, 34, 38, 50, -29, 89]
  Compare -28 and 7
  No swap needed
  Compare 7 and 34
  No swap needed
  Compare 34 and 38
  No swap needed
  Compare 38 and 50
  No swap needed
  Compare 50 and -29
  Swap 50 and -29
  List after swap: [-58, -30, -86, -28, 7, 34, 38, -29, 50, 89]

Pass 3:
  Compare -58 and -30
  No swap needed
  Compare -30 and -86
  Swap -30 and -86
  List after swap: [-58, -86, -30, -28, 7, 34, 38, -29, 50, 89]
  Compare -30 and -28
  No swap needed
  Compare -28 and 7
  No swap needed
  Compare 7 and 34
  No swap needed
  Compare 34 and 38
  No swap needed
  Compare 38 and -29
  Swap 38 and -29
  List after swap: [-58, -86, -30, -28, 7, 34, -29, 38, 50, 89]

Pass 4:
  Compare -58 and -86
  Swap -58 and -86
  List after swap: [-86, -58, -30, -28, 7, 34, -29, 38, 50, 89]
  Compare -58 and -30
  No swap needed
  Compare -30 and -28
  No swap needed
  Compare -28 and 7
  No swap needed
  Compare 7 and 34
  No swap needed
  Compare 34 and -29
  Swap 34 and -29
  List after swap: [-86, -58, -30, -28, 7, -29, 34, 38, 50, 89]

Pass 5:
  Compare -86 and -58
  No swap needed
  Compare -58 and -30
  No swap needed
  Compare -30 and -28
  No swap needed
  Compare -28 and 7
  No swap needed
  Compare 7 and -29
  Swap 7 and -29
  List after swap: [-86, -58, -30, -28, -29, 7, 34, 38, 50, 89]

Pass 6:
  Compare -86 and -58
  No swap needed
  Compare -58 and -30
  No swap needed
  Compare -30 and -28
  No swap needed
  Compare -28 and -29
  Swap -28 and -29
  List after swap: [-86, -58, -30, -29, -28, 7, 34, 38, 50, 89]

Pass 7:
  Compare -86 and -58
  No swap needed
  Compare -58 and -30
  No swap needed
  Compare -30 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -58, -30, -29, -28, 7, 34, 38, 50, 89]
</think>

<response>-86, -58, -30, -29, -28, 7, 34, 38, 50, 89</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 28, 98, 64, 90, -5.

output:
<think>
Initial list: [28, 98, 64, 90, -5]

Pass 1:
  Compare 28 and 98
  No swap needed
  Compare 98 and 64
  Swap 98 and 64
  List after swap: [28, 64, 98, 90, -5]
  Compare 98 and 90
  Swap 98 and 90
  List after swap: [28, 64, 90, 98, -5]
  Compare 98 and -5
  Swap 98 and -5
  List after swap: [28, 64, 90, -5, 98]

Pass 2:
  Compare 28 and 64
  No swap needed
  Compare 64 and 90
  No swap needed
  Compare 90 and -5
  Swap 90 and -5
  List after swap: [28, 64, -5, 90, 98]

Pass 3:
  Compare 28 and 64
  No swap needed
  Compare 64 and -5
  Swap 64 and -5
  List after swap: [28, -5, 64, 90, 98]

Pass 4:
  Compare 28 and -5
  Swap 28 and -5
  List after swap: [-5, 28, 64, 90, 98]

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

Final sorted list: [-5, 28, 64, 90, 98]
</think>

<response>-5, 28, 64, 90, 98</response>


input: Perform a bubble sort on the integers 30, 69, -27, -36, -30, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [30, 69, -27, -36, -30]

Pass 1:
  Compare 30 and 69
  No swap needed
  Compare 69 and -27
  Swap 69 and -27
  List after swap: [30, -27, 69, -36, -30]
  Compare 69 and -36
  Swap 69 and -36
  List after swap: [30, -27, -36, 69, -30]
  Compare 69 and -30
  Swap 69 and -30
  List after swap: [30, -27, -36, -30, 69]

Pass 2:
  Compare 30 and -27
  Swap 30 and -27
  List after swap: [-27, 30, -36, -30, 69]
  Compare 30 and -36
  Swap 30 and -36
  List after swap: [-27, -36, 30, -30, 69]
  Compare 30 and -30
  Swap 30 and -30
  List after swap: [-27, -36, -30, 30, 69]

Pass 3:
  Compare -27 and -36
  Swap -27 and -36
  List after swap: [-36, -27, -30, 30, 69]
  Compare -27 and -30
  Swap -27 and -30
  List after swap: [-36, -30, -27, 30, 69]

Pass 4:
  Compare -36 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -30, -27, 30, 69]
</think>

<response>-36, -30, -27, 30, 69</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 90, 70, 11, 67, 47, -85, -6, 33, 85, -48.

output:
<think>
Initial list: [90, 70, 11, 67, 47, -85, -6, 33, 85, -48]

Pass 1:
  Compare 90 and 70
  Swap 90 and 70
  List after swap: [70, 90, 11, 67, 47, -85, -6, 33, 85, -48]
  Compare 90 and 11
  Swap 90 and 11
  List after swap: [70, 11, 90, 67, 47, -85, -6, 33, 85, -48]
  Compare 90 and 67
  Swap 90 and 67
  List after swap: [70, 11, 67, 90, 47, -85, -6, 33, 85, -48]
  Compare 90 and 47
  Swap 90 and 47
  List after swap: [70, 11, 67, 47, 90, -85, -6, 33, 85, -48]
  Compare 90 and -85
  Swap 90 and -85
  List after swap: [70, 11, 67, 47, -85, 90, -6, 33, 85, -48]
  Compare 90 and -6
  Swap 90 and -6
  List after swap: [70, 11, 67, 47, -85, -6, 90, 33, 85, -48]
  Compare 90 and 33
  Swap 90 and 33
  List after swap: [70, 11, 67, 47, -85, -6, 33, 90, 85, -48]
  Compare 90 and 85
  Swap 90 and 85
  List after swap: [70, 11, 67, 47, -85, -6, 33, 85, 90, -48]
  Compare 90 and -48
  Swap 90 and -48
  List after swap: [70, 11, 67, 47, -85, -6, 33, 85, -48, 90]

Pass 2:
  Compare 70 and 11
  Swap 70 and 11
  List after swap: [11, 70, 67, 47, -85, -6, 33, 85, -48, 90]
  Compare 70 and 67
  Swap 70 and 67
  List after swap: [11, 67, 70, 47, -85, -6, 33, 85, -48, 90]
  Compare 70 and 47
  Swap 70 and 47
  List after swap: [11, 67, 47, 70, -85, -6, 33, 85, -48, 90]
  Compare 70 and -85
  Swap 70 and -85
  List after swap: [11, 67, 47, -85, 70, -6, 33, 85, -48, 90]
  Compare 70 and -6
  Swap 70 and -6
  List after swap: [11, 67, 47, -85, -6, 70, 33, 85, -48, 90]
  Compare 70 and 33
  Swap 70 and 33
  List after swap: [11, 67, 47, -85, -6, 33, 70, 85, -48, 90]
  Compare 70 and 85
  No swap needed
  Compare 85 and -48
  Swap 85 and -48
  List after swap: [11, 67, 47, -85, -6, 33, 70, -48, 85, 90]

Pass 3:
  Compare 11 and 67
  No swap needed
  Compare 67 and 47
  Swap 67 and 47
  List after swap: [11, 47, 67, -85, -6, 33, 70, -48, 85, 90]
  Compare 67 and -85
  Swap 67 and -85
  List after swap: [11, 47, -85, 67, -6, 33, 70, -48, 85, 90]
  Compare 67 and -6
  Swap 67 and -6
  List after swap: [11, 47, -85, -6, 67, 33, 70, -48, 85, 90]
  Compare 67 and 33
  Swap 67 and 33
  List after swap: [11, 47, -85, -6, 33, 67, 70, -48, 85, 90]
  Compare 67 and 70
  No swap needed
  Compare 70 and -48
  Swap 70 and -48
  List after swap: [11, 47, -85, -6, 33, 67, -48, 70, 85, 90]

Pass 4:
  Compare 11 and 47
  No swap needed
  Compare 47 and -85
  Swap 47 and -85
  List after swap: [11, -85, 47, -6, 33, 67, -48, 70, 85, 90]
  Compare 47 and -6
  Swap 47 and -6
  List after swap: [11, -85, -6, 47, 33, 67, -48, 70, 85, 90]
  Compare 47 and 33
  Swap 47 and 33
  List after swap: [11, -85, -6, 33, 47, 67, -48, 70, 85, 90]
  Compare 47 and 67
  No swap needed
  Compare 67 and -48
  Swap 67 and -48
  List after swap: [11, -85, -6, 33, 47, -48, 67, 70, 85, 90]

Pass 5:
  Compare 11 and -85
  Swap 11 and -85
  List after swap: [-85, 11, -6, 33, 47, -48, 67, 70, 85, 90]
  Compare 11 and -6
  Swap 11 and -6
  List after swap: [-85, -6, 11, 33, 47, -48, 67, 70, 85, 90]
  Compare 11 and 33
  No swap needed
  Compare 33 and 47
  No swap needed
  Compare 47 and -48
  Swap 47 and -48
  List after swap: [-85, -6, 11, 33, -48, 47, 67, 70, 85, 90]

Pass 6:
  Compare -85 and -6
  No swap needed
  Compare -6 and 11
  No swap needed
  Compare 11 and 33
  No swap needed
  Compare 33 and -48
  Swap 33 and -48
  List after swap: [-85, -6, 11, -48, 33, 47, 67, 70, 85, 90]

Pass 7:
  Compare -85 and -6
  No swap needed
  Compare -6 and 11
  No swap needed
  Compare 11 and -48
  Swap 11 and -48
  List after swap: [-85, -6, -48, 11, 33, 47, 67, 70, 85, 90]

Pass 8:
  Compare -85 and -6
  No swap needed
  Compare -6 and -48
  Swap -6 and -48
  List after swap: [-85, -48, -6, 11, 33, 47, 67, 70, 85, 90]

Pass 9:
  Compare -85 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -48, -6, 11, 33, 47, 67, 70, 85, 90]
</think>

<response>-85, -48, -6, 11, 33, 47, 67, 70, 85, 90</response>


input: Sort the list -54, -91, -52 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-54, -91, -52]

Pass 1:
  Compare -54 and -91
  Swap -54 and -91
  List after swap: [-91, -54, -52]
  Compare -54 and -52
  No swap needed

Pass 2:
  Compare -91 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -54, -52]
</think>

<response>-91, -54, -52</response>


input: Sort the list -22, 2, -98, -80, 50, 97, -42, -5 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-22, 2, -98, -80, 50, 97, -42, -5]

Pass 1:
  Compare -22 and 2
  No swap needed
  Compare 2 and -98
  Swap 2 and -98
  List after swap: [-22, -98, 2, -80, 50, 97, -42, -5]
  Compare 2 and -80
  Swap 2 and -80
  List after swap: [-22, -98, -80, 2, 50, 97, -42, -5]
  Compare 2 and 50
  No swap needed
  Compare 50 and 97
  No swap needed
  Compare 97 and -42
  Swap 97 and -42
  List after swap: [-22, -98, -80, 2, 50, -42, 97, -5]
  Compare 97 and -5
  Swap 97 and -5
  List after swap: [-22, -98, -80, 2, 50, -42, -5, 97]

Pass 2:
  Compare -22 and -98
  Swap -22 and -98
  List after swap: [-98, -22, -80, 2, 50, -42, -5, 97]
  Compare -22 and -80
  Swap -22 and -80
  List after swap: [-98, -80, -22, 2, 50, -42, -5, 97]
  Compare -22 and 2
  No swap needed
  Compare 2 and 50
  No swap needed
  Compare 50 and -42
  Swap 50 and -42
  List after swap: [-98, -80, -22, 2, -42, 50, -5, 97]
  Compare 50 and -5
  Swap 50 and -5
  List after swap: [-98, -80, -22, 2, -42, -5, 50, 97]

Pass 3:
  Compare -98 and -80
  No swap needed
  Compare -80 and -22
  No swap needed
  Compare -22 and 2
  No swap needed
  Compare 2 and -42
  Swap 2 and -42
  List after swap: [-98, -80, -22, -42, 2, -5, 50, 97]
  Compare 2 and -5
  Swap 2 and -5
  List after swap: [-98, -80, -22, -42, -5, 2, 50, 97]

Pass 4:
  Compare -98 and -80
  No swap needed
  Compare -80 and -22
  No swap needed
  Compare -22 and -42
  Swap -22 and -42
  List after swap: [-98, -80, -42, -22, -5, 2, 50, 97]
  Compare -22 and -5
  No swap needed

Pass 5:
  Compare -98 and -80
  No swap needed
  Compare -80 and -42
  No swap needed
  Compare -42 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -80, -42, -22, -5, 2, 50, 97]
</think>

<response>-98, -80, -42, -22, -5, 2, 50, 97</response>


input: Arrange the numbers -61, 68, -3, 7, 51, -68 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-61, 68, -3, 7, 51, -68]

Pass 1:
  Compare -61 and 68
  No swap needed
  Compare 68 and -3
  Swap 68 and -3
  List after swap: [-61, -3, 68, 7, 51, -68]
  Compare 68 and 7
  Swap 68 and 7
  List after swap: [-61, -3, 7, 68, 51, -68]
  Compare 68 and 51
  Swap 68 and 51
  List after swap: [-61, -3, 7, 51, 68, -68]
  Compare 68 and -68
  Swap 68 and -68
  List after swap: [-61, -3, 7, 51, -68, 68]

Pass 2:
  Compare -61 and -3
  No swap needed
  Compare -3 and 7
  No swap needed
  Compare 7 and 51
  No swap needed
  Compare 51 and -68
  Swap 51 and -68
  List after swap: [-61, -3, 7, -68, 51, 68]

Pass 3:
  Compare -61 and -3
  No swap needed
  Compare -3 and 7
  No swap needed
  Compare 7 and -68
  Swap 7 and -68
  List after swap: [-61, -3, -68, 7, 51, 68]

Pass 4:
  Compare -61 and -3
  No swap needed
  Compare -3 and -68
  Swap -3 and -68
  List after swap: [-61, -68, -3, 7, 51, 68]

Pass 5:
  Compare -61 and -68
  Swap -61 and -68
  List after swap: [-68, -61, -3, 7, 51, 68]

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

Final sorted list: [-68, -61, -3, 7, 51, 68]
</think>

<response>-68, -61, -3, 7, 51, 68</response>


input: Execute bubble sort to sort 43, 45, -26, 76, 57, -34, 50, -39, -23 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [43, 45, -26, 76, 57, -34, 50, -39, -23]

Pass 1:
  Compare 43 and 45
  No swap needed
  Compare 45 and -26
  Swap 45 and -26
  List after swap: [43, -26, 45, 76, 57, -34, 50, -39, -23]
  Compare 45 and 76
  No swap needed
  Compare 76 and 57
  Swap 76 and 57
  List after swap: [43, -26, 45, 57, 76, -34, 50, -39, -23]
  Compare 76 and -34
  Swap 76 and -34
  List after swap: [43, -26, 45, 57, -34, 76, 50, -39, -23]
  Compare 76 and 50
  Swap 76 and 50
  List after swap: [43, -26, 45, 57, -34, 50, 76, -39, -23]
  Compare 76 and -39
  Swap 76 and -39
  List after swap: [43, -26, 45, 57, -34, 50, -39, 76, -23]
  Compare 76 and -23
  Swap 76 and -23
  List after swap: [43, -26, 45, 57, -34, 50, -39, -23, 76]

Pass 2:
  Compare 43 and -26
  Swap 43 and -26
  List after swap: [-26, 43, 45, 57, -34, 50, -39, -23, 76]
  Compare 43 and 45
  No swap needed
  Compare 45 and 57
  No swap needed
  Compare 57 and -34
  Swap 57 and -34
  List after swap: [-26, 43, 45, -34, 57, 50, -39, -23, 76]
  Compare 57 and 50
  Swap 57 and 50
  List after swap: [-26, 43, 45, -34, 50, 57, -39, -23, 76]
  Compare 57 and -39
  Swap 57 and -39
  List after swap: [-26, 43, 45, -34, 50, -39, 57, -23, 76]
  Compare 57 and -23
  Swap 57 and -23
  List after swap: [-26, 43, 45, -34, 50, -39, -23, 57, 76]

Pass 3:
  Compare -26 and 43
  No swap needed
  Compare 43 and 45
  No swap needed
  Compare 45 and -34
  Swap 45 and -34
  List after swap: [-26, 43, -34, 45, 50, -39, -23, 57, 76]
  Compare 45 and 50
  No swap needed
  Compare 50 and -39
  Swap 50 and -39
  List after swap: [-26, 43, -34, 45, -39, 50, -23, 57, 76]
  Compare 50 and -23
  Swap 50 and -23
  List after swap: [-26, 43, -34, 45, -39, -23, 50, 57, 76]

Pass 4:
  Compare -26 and 43
  No swap needed
  Compare 43 and -34
  Swap 43 and -34
  List after swap: [-26, -34, 43, 45, -39, -23, 50, 57, 76]
  Compare 43 and 45
  No swap needed
  Compare 45 and -39
  Swap 45 and -39
  List after swap: [-26, -34, 43, -39, 45, -23, 50, 57, 76]
  Compare 45 and -23
  Swap 45 and -23
  List after swap: [-26, -34, 43, -39, -23, 45, 50, 57, 76]

Pass 5:
  Compare -26 and -34
  Swap -26 and -34
  List after swap: [-34, -26, 43, -39, -23, 45, 50, 57, 76]
  Compare -26 and 43
  No swap needed
  Compare 43 and -39
  Swap 43 and -39
  List after swap: [-34, -26, -39, 43, -23, 45, 50, 57, 76]
  Compare 43 and -23
  Swap 43 and -23
  List after swap: [-34, -26, -39, -23, 43, 45, 50, 57, 76]

Pass 6:
  Compare -34 and -26
  No swap needed
  Compare -26 and -39
  Swap -26 and -39
  List after swap: [-34, -39, -26, -23, 43, 45, 50, 57, 76]
  Compare -26 and -23
  No swap needed

Pass 7:
  Compare -34 and -39
  Swap -34 and -39
  List after swap: [-39, -34, -26, -23, 43, 45, 50, 57, 76]
  Compare -34 and -26
  No swap needed

Pass 8:
  Compare -39 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -34, -26, -23, 43, 45, 50, 57, 76]
</think>

<response>-39, -34, -26, -23, 43, 45, 50, 57, 76</response>


input: Carry out the bubble sort algorithm on 15, -86, -34, 86, -56 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [15, -86, -34, 86, -56]

Pass 1:
  Compare 15 and -86
  Swap 15 and -86
  List after swap: [-86, 15, -34, 86, -56]
  Compare 15 and -34
  Swap 15 and -34
  List after swap: [-86, -34, 15, 86, -56]
  Compare 15 and 86
  No swap needed
  Compare 86 and -56
  Swap 86 and -56
  List after swap: [-86, -34, 15, -56, 86]

Pass 2:
  Compare -86 and -34
  No swap needed
  Compare -34 and 15
  No swap needed
  Compare 15 and -56
  Swap 15 and -56
  List after swap: [-86, -34, -56, 15, 86]

Pass 3:
  Compare -86 and -34
  No swap needed
  Compare -34 and -56
  Swap -34 and -56
  List after swap: [-86, -56, -34, 15, 86]

Pass 4:
  Compare -86 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -56, -34, 15, 86]
</think>

<response>-86, -56, -34, 15, 86</response>


input: Carry out the bubble sort algorithm on -59, -22, 85, 91, 69, -96, 8, -81 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-59, -22, 85, 91, 69, -96, 8, -81]

Pass 1:
  Compare -59 and -22
  No swap needed
  Compare -22 and 85
  No swap needed
  Compare 85 and 91
  No swap needed
  Compare 91 and 69
  Swap 91 and 69
  List after swap: [-59, -22, 85, 69, 91, -96, 8, -81]
  Compare 91 and -96
  Swap 91 and -96
  List after swap: [-59, -22, 85, 69, -96, 91, 8, -81]
  Compare 91 and 8
  Swap 91 and 8
  List after swap: [-59, -22, 85, 69, -96, 8, 91, -81]
  Compare 91 and -81
  Swap 91 and -81
  List after swap: [-59, -22, 85, 69, -96, 8, -81, 91]

Pass 2:
  Compare -59 and -22
  No swap needed
  Compare -22 and 85
  No swap needed
  Compare 85 and 69
  Swap 85 and 69
  List after swap: [-59, -22, 69, 85, -96, 8, -81, 91]
  Compare 85 and -96
  Swap 85 and -96
  List after swap: [-59, -22, 69, -96, 85, 8, -81, 91]
  Compare 85 and 8
  Swap 85 and 8
  List after swap: [-59, -22, 69, -96, 8, 85, -81, 91]
  Compare 85 and -81
  Swap 85 and -81
  List after swap: [-59, -22, 69, -96, 8, -81, 85, 91]

Pass 3:
  Compare -59 and -22
  No swap needed
  Compare -22 and 69
  No swap needed
  Compare 69 and -96
  Swap 69 and -96
  List after swap: [-59, -22, -96, 69, 8, -81, 85, 91]
  Compare 69 and 8
  Swap 69 and 8
  List after swap: [-59, -22, -96, 8, 69, -81, 85, 91]
  Compare 69 and -81
  Swap 69 and -81
  List after swap: [-59, -22, -96, 8, -81, 69, 85, 91]

Pass 4:
  Compare -59 and -22
  No swap needed
  Compare -22 and -96
  Swap -22 and -96
  List after swap: [-59, -96, -22, 8, -81, 69, 85, 91]
  Compare -22 and 8
  No swap needed
  Compare 8 and -81
  Swap 8 and -81
  List after swap: [-59, -96, -22, -81, 8, 69, 85, 91]

Pass 5:
  Compare -59 and -96
  Swap -59 and -96
  List after swap: [-96, -59, -22, -81, 8, 69, 85, 91]
  Compare -59 and -22
  No swap needed
  Compare -22 and -81
  Swap -22 and -81
  List after swap: [-96, -59, -81, -22, 8, 69, 85, 91]

Pass 6:
  Compare -96 and -59
  No swap needed
  Compare -59 and -81
  Swap -59 and -81
  List after swap: [-96, -81, -59, -22, 8, 69, 85, 91]

Pass 7:
  Compare -96 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -81, -59, -22, 8, 69, 85, 91]
</think>

<response>-96, -81, -59, -22, 8, 69, 85, 91</response>


input: Implement bubble sort on -66, 22, -30, -7, 20 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-66, 22, -30, -7, 20]

Pass 1:
  Compare -66 and 22
  No swap needed
  Compare 22 and -30
  Swap 22 and -30
  List after swap: [-66, -30, 22, -7, 20]
  Compare 22 and -7
  Swap 22 and -7
  List after swap: [-66, -30, -7, 22, 20]
  Compare 22 and 20
  Swap 22 and 20
  List after swap: [-66, -30, -7, 20, 22]

Pass 2:
  Compare -66 and -30
  No swap needed
  Compare -30 and -7
  No swap needed
  Compare -7 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -30, -7, 20, 22]
</think>

<response>-66, -30, -7, 20, 22</response>


input: Execute bubble sort to sort -20, 54 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-20, 54]

Pass 1:
  Compare -20 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, 54]
</think>

<response>-20, 54</response>


input: Demonstrate how bubble sort orders the integers 56, -44, -51, 12 in ascending sequence, showing all steps.

output:
<think>
Initial list: [56, -44, -51, 12]

Pass 1:
  Compare 56 and -44
  Swap 56 and -44
  List after swap: [-44, 56, -51, 12]
  Compare 56 and -51
  Swap 56 and -51
  List after swap: [-44, -51, 56, 12]
  Compare 56 and 12
  Swap 56 and 12
  List after swap: [-44, -51, 12, 56]

Pass 2:
  Compare -44 and -51
  Swap -44 and -51
  List after swap: [-51, -44, 12, 56]
  Compare -44 and 12
  No swap needed

Pass 3:
  Compare -51 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -44, 12, 56]
</think>

<response>-51, -44, 12, 56</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 6, -86, 22, -48, -92, 61, 99, 21, -21, -67.

output:
<think>
Initial list: [6, -86, 22, -48, -92, 61, 99, 21, -21, -67]

Pass 1:
  Compare 6 and -86
  Swap 6 and -86
  List after swap: [-86, 6, 22, -48, -92, 61, 99, 21, -21, -67]
  Compare 6 and 22
  No swap needed
  Compare 22 and -48
  Swap 22 and -48
  List after swap: [-86, 6, -48, 22, -92, 61, 99, 21, -21, -67]
  Compare 22 and -92
  Swap 22 and -92
  List after swap: [-86, 6, -48, -92, 22, 61, 99, 21, -21, -67]
  Compare 22 and 61
  No swap needed
  Compare 61 and 99
  No swap needed
  Compare 99 and 21
  Swap 99 and 21
  List after swap: [-86, 6, -48, -92, 22, 61, 21, 99, -21, -67]
  Compare 99 and -21
  Swap 99 and -21
  List after swap: [-86, 6, -48, -92, 22, 61, 21, -21, 99, -67]
  Compare 99 and -67
  Swap 99 and -67
  List after swap: [-86, 6, -48, -92, 22, 61, 21, -21, -67, 99]

Pass 2:
  Compare -86 and 6
  No swap needed
  Compare 6 and -48
  Swap 6 and -48
  List after swap: [-86, -48, 6, -92, 22, 61, 21, -21, -67, 99]
  Compare 6 and -92
  Swap 6 and -92
  List after swap: [-86, -48, -92, 6, 22, 61, 21, -21, -67, 99]
  Compare 6 and 22
  No swap needed
  Compare 22 and 61
  No swap needed
  Compare 61 and 21
  Swap 61 and 21
  List after swap: [-86, -48, -92, 6, 22, 21, 61, -21, -67, 99]
  Compare 61 and -21
  Swap 61 and -21
  List after swap: [-86, -48, -92, 6, 22, 21, -21, 61, -67, 99]
  Compare 61 and -67
  Swap 61 and -67
  List after swap: [-86, -48, -92, 6, 22, 21, -21, -67, 61, 99]

Pass 3:
  Compare -86 and -48
  No swap needed
  Compare -48 and -92
  Swap -48 and -92
  List after swap: [-86, -92, -48, 6, 22, 21, -21, -67, 61, 99]
  Compare -48 and 6
  No swap needed
  Compare 6 and 22
  No swap needed
  Compare 22 and 21
  Swap 22 and 21
  List after swap: [-86, -92, -48, 6, 21, 22, -21, -67, 61, 99]
  Compare 22 and -21
  Swap 22 and -21
  List after swap: [-86, -92, -48, 6, 21, -21, 22, -67, 61, 99]
  Compare 22 and -67
  Swap 22 and -67
  List after swap: [-86, -92, -48, 6, 21, -21, -67, 22, 61, 99]

Pass 4:
  Compare -86 and -92
  Swap -86 and -92
  List after swap: [-92, -86, -48, 6, 21, -21, -67, 22, 61, 99]
  Compare -86 and -48
  No swap needed
  Compare -48 and 6
  No swap needed
  Compare 6 and 21
  No swap needed
  Compare 21 and -21
  Swap 21 and -21
  List after swap: [-92, -86, -48, 6, -21, 21, -67, 22, 61, 99]
  Compare 21 and -67
  Swap 21 and -67
  List after swap: [-92, -86, -48, 6, -21, -67, 21, 22, 61, 99]

Pass 5:
  Compare -92 and -86
  No swap needed
  Compare -86 and -48
  No swap needed
  Compare -48 and 6
  No swap needed
  Compare 6 and -21
  Swap 6 and -21
  List after swap: [-92, -86, -48, -21, 6, -67, 21, 22, 61, 99]
  Compare 6 and -67
  Swap 6 and -67
  List after swap: [-92, -86, -48, -21, -67, 6, 21, 22, 61, 99]

Pass 6:
  Compare -92 and -86
  No swap needed
  Compare -86 and -48
  No swap needed
  Compare -48 and -21
  No swap needed
  Compare -21 and -67
  Swap -21 and -67
  List after swap: [-92, -86, -48, -67, -21, 6, 21, 22, 61, 99]

Pass 7:
  Compare -92 and -86
  No swap needed
  Compare -86 and -48
  No swap needed
  Compare -48 and -67
  Swap -48 and -67
  List after swap: [-92, -86, -67, -48, -21, 6, 21, 22, 61, 99]

Pass 8:
  Compare -92 and -86
  No swap needed
  Compare -86 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -86, -67, -48, -21, 6, 21, 22, 61, 99]
</think>

<response>-92, -86, -67, -48, -21, 6, 21, 22, 61, 99</response>


input: Arrange the numbers -45, -69, 6, -78, 23, 44, 75, -39, 29, 33 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-45, -69, 6, -78, 23, 44, 75, -39, 29, 33]

Pass 1:
  Compare -45 and -69
  Swap -45 and -69
  List after swap: [-69, -45, 6, -78, 23, 44, 75, -39, 29, 33]
  Compare -45 and 6
  No swap needed
  Compare 6 and -78
  Swap 6 and -78
  List after swap: [-69, -45, -78, 6, 23, 44, 75, -39, 29, 33]
  Compare 6 and 23
  No swap needed
  Compare 23 and 44
  No swap needed
  Compare 44 and 75
  No swap needed
  Compare 75 and -39
  Swap 75 and -39
  List after swap: [-69, -45, -78, 6, 23, 44, -39, 75, 29, 33]
  Compare 75 and 29
  Swap 75 and 29
  List after swap: [-69, -45, -78, 6, 23, 44, -39, 29, 75, 33]
  Compare 75 and 33
  Swap 75 and 33
  List after swap: [-69, -45, -78, 6, 23, 44, -39, 29, 33, 75]

Pass 2:
  Compare -69 and -45
  No swap needed
  Compare -45 and -78
  Swap -45 and -78
  List after swap: [-69, -78, -45, 6, 23, 44, -39, 29, 33, 75]
  Compare -45 and 6
  No swap needed
  Compare 6 and 23
  No swap needed
  Compare 23 and 44
  No swap needed
  Compare 44 and -39
  Swap 44 and -39
  List after swap: [-69, -78, -45, 6, 23, -39, 44, 29, 33, 75]
  Compare 44 and 29
  Swap 44 and 29
  List after swap: [-69, -78, -45, 6, 23, -39, 29, 44, 33, 75]
  Compare 44 and 33
  Swap 44 and 33
  List after swap: [-69, -78, -45, 6, 23, -39, 29, 33, 44, 75]

Pass 3:
  Compare -69 and -78
  Swap -69 and -78
  List after swap: [-78, -69, -45, 6, 23, -39, 29, 33, 44, 75]
  Compare -69 and -45
  No swap needed
  Compare -45 and 6
  No swap needed
  Compare 6 and 23
  No swap needed
  Compare 23 and -39
  Swap 23 and -39
  List after swap: [-78, -69, -45, 6, -39, 23, 29, 33, 44, 75]
  Compare 23 and 29
  No swap needed
  Compare 29 and 33
  No swap needed

Pass 4:
  Compare -78 and -69
  No swap needed
  Compare -69 and -45
  No swap needed
  Compare -45 and 6
  No swap needed
  Compare 6 and -39
  Swap 6 and -39
  List after swap: [-78, -69, -45, -39, 6, 23, 29, 33, 44, 75]
  Compare 6 and 23
  No swap needed
  Compare 23 and 29
  No swap needed

Pass 5:
  Compare -78 and -69
  No swap needed
  Compare -69 and -45
  No swap needed
  Compare -45 and -39
  No swap needed
  Compare -39 and 6
  No swap needed
  Compare 6 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -69, -45, -39, 6, 23, 29, 33, 44, 75]
</think>

<response>-78, -69, -45, -39, 6, 23, 29, 33, 44, 75</response>


input: Sort these integers 41, 17, 93, 91 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [41, 17, 93, 91]

Pass 1:
  Compare 41 and 17
  Swap 41 and 17
  List after swap: [17, 41, 93, 91]
  Compare 41 and 93
  No swap needed
  Compare 93 and 91
  Swap 93 and 91
  List after swap: [17, 41, 91, 93]

Pass 2:
  Compare 17 and 41
  No swap needed
  Compare 41 and 91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [17, 41, 91, 93]
</think>

<response>17, 41, 91, 93</response>


input: Execute bubble sort to sort 34, 53, -18, -91, 9, 88, 32 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [34, 53, -18, -91, 9, 88, 32]

Pass 1:
  Compare 34 and 53
  No swap needed
  Compare 53 and -18
  Swap 53 and -18
  List after swap: [34, -18, 53, -91, 9, 88, 32]
  Compare 53 and -91
  Swap 53 and -91
  List after swap: [34, -18, -91, 53, 9, 88, 32]
  Compare 53 and 9
  Swap 53 and 9
  List after swap: [34, -18, -91, 9, 53, 88, 32]
  Compare 53 and 88
  No swap needed
  Compare 88 and 32
  Swap 88 and 32
  List after swap: [34, -18, -91, 9, 53, 32, 88]

Pass 2:
  Compare 34 and -18
  Swap 34 and -18
  List after swap: [-18, 34, -91, 9, 53, 32, 88]
  Compare 34 and -91
  Swap 34 and -91
  List after swap: [-18, -91, 34, 9, 53, 32, 88]
  Compare 34 and 9
  Swap 34 and 9
  List after swap: [-18, -91, 9, 34, 53, 32, 88]
  Compare 34 and 53
  No swap needed
  Compare 53 and 32
  Swap 53 and 32
  List after swap: [-18, -91, 9, 34, 32, 53, 88]

Pass 3:
  Compare -18 and -91
  Swap -18 and -91
  List after swap: [-91, -18, 9, 34, 32, 53, 88]
  Compare -18 and 9
  No swap needed
  Compare 9 and 34
  No swap needed
  Compare 34 and 32
  Swap 34 and 32
  List after swap: [-91, -18, 9, 32, 34, 53, 88]

Pass 4:
  Compare -91 and -18
  No swap needed
  Compare -18 and 9
  No swap needed
  Compare 9 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -18, 9, 32, 34, 53, 88]
</think>

<response>-91, -18, 9, 32, 34, 53, 88</response>


input: Perform a bubble sort on the integers 91, -98, -94, 77, -47, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [91, -98, -94, 77, -47]

Pass 1:
  Compare 91 and -98
  Swap 91 and -98
  List after swap: [-98, 91, -94, 77, -47]
  Compare 91 and -94
  Swap 91 and -94
  List after swap: [-98, -94, 91, 77, -47]
  Compare 91 and 77
  Swap 91 and 77
  List after swap: [-98, -94, 77, 91, -47]
  Compare 91 and -47
  Swap 91 and -47
  List after swap: [-98, -94, 77, -47, 91]

Pass 2:
  Compare -98 and -94
  No swap needed
  Compare -94 and 77
  No swap needed
  Compare 77 and -47
  Swap 77 and -47
  List after swap: [-98, -94, -47, 77, 91]

Pass 3:
  Compare -98 and -94
  No swap needed
  Compare -94 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -94, -47, 77, 91]
</think>

<response>-98, -94, -47, 77, 91</response>


input: Arrange the numbers 66, 10, 95, -73, 69, 37, 19, 96, 17 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [66, 10, 95, -73, 69, 37, 19, 96, 17]

Pass 1:
  Compare 66 and 10
  Swap 66 and 10
  List after swap: [10, 66, 95, -73, 69, 37, 19, 96, 17]
  Compare 66 and 95
  No swap needed
  Compare 95 and -73
  Swap 95 and -73
  List after swap: [10, 66, -73, 95, 69, 37, 19, 96, 17]
  Compare 95 and 69
  Swap 95 and 69
  List after swap: [10, 66, -73, 69, 95, 37, 19, 96, 17]
  Compare 95 and 37
  Swap 95 and 37
  List after swap: [10, 66, -73, 69, 37, 95, 19, 96, 17]
  Compare 95 and 19
  Swap 95 and 19
  List after swap: [10, 66, -73, 69, 37, 19, 95, 96, 17]
  Compare 95 and 96
  No swap needed
  Compare 96 and 17
  Swap 96 and 17
  List after swap: [10, 66, -73, 69, 37, 19, 95, 17, 96]

Pass 2:
  Compare 10 and 66
  No swap needed
  Compare 66 and -73
  Swap 66 and -73
  List after swap: [10, -73, 66, 69, 37, 19, 95, 17, 96]
  Compare 66 and 69
  No swap needed
  Compare 69 and 37
  Swap 69 and 37
  List after swap: [10, -73, 66, 37, 69, 19, 95, 17, 96]
  Compare 69 and 19
  Swap 69 and 19
  List after swap: [10, -73, 66, 37, 19, 69, 95, 17, 96]
  Compare 69 and 95
  No swap needed
  Compare 95 and 17
  Swap 95 and 17
  List after swap: [10, -73, 66, 37, 19, 69, 17, 95, 96]

Pass 3:
  Compare 10 and -73
  Swap 10 and -73
  List after swap: [-73, 10, 66, 37, 19, 69, 17, 95, 96]
  Compare 10 and 66
  No swap needed
  Compare 66 and 37
  Swap 66 and 37
  List after swap: [-73, 10, 37, 66, 19, 69, 17, 95, 96]
  Compare 66 and 19
  Swap 66 and 19
  List after swap: [-73, 10, 37, 19, 66, 69, 17, 95, 96]
  Compare 66 and 69
  No swap needed
  Compare 69 and 17
  Swap 69 and 17
  List after swap: [-73, 10, 37, 19, 66, 17, 69, 95, 96]

Pass 4:
  Compare -73 and 10
  No swap needed
  Compare 10 and 37
  No swap needed
  Compare 37 and 19
  Swap 37 and 19
  List after swap: [-73, 10, 19, 37, 66, 17, 69, 95, 96]
  Compare 37 and 66
  No swap needed
  Compare 66 and 17
  Swap 66 and 17
  List after swap: [-73, 10, 19, 37, 17, 66, 69, 95, 96]

Pass 5:
  Compare -73 and 10
  No swap needed
  Compare 10 and 19
  No swap needed
  Compare 19 and 37
  No swap needed
  Compare 37 and 17
  Swap 37 and 17
  List after swap: [-73, 10, 19, 17, 37, 66, 69, 95, 96]

Pass 6:
  Compare -73 and 10
  No swap needed
  Compare 10 and 19
  No swap needed
  Compare 19 and 17
  Swap 19 and 17
  List after swap: [-73, 10, 17, 19, 37, 66, 69, 95, 96]

Pass 7:
  Compare -73 and 10
  No swap needed
  Compare 10 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, 10, 17, 19, 37, 66, 69, 95, 96]
</think>

<response>-73, 10, 17, 19, 37, 66, 69, 95, 96</response>


input: Using the bubble sort method, sort 63, 26 from lowest to highest and provide a step-by-step breakdown.

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

Pass 1:
  Compare 63 and 26
  Swap 63 and 26
  List after swap: [26, 63]

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

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

<response>26, 63</response>


input: Use the bubble sort technique to reorder -37, -82, 89, -69, 36, -95, -73 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-37, -82, 89, -69, 36, -95, -73]

Pass 1:
  Compare -37 and -82
  Swap -37 and -82
  List after swap: [-82, -37, 89, -69, 36, -95, -73]
  Compare -37 and 89
  No swap needed
  Compare 89 and -69
  Swap 89 and -69
  List after swap: [-82, -37, -69, 89, 36, -95, -73]
  Compare 89 and 36
  Swap 89 and 36
  List after swap: [-82, -37, -69, 36, 89, -95, -73]
  Compare 89 and -95
  Swap 89 and -95
  List after swap: [-82, -37, -69, 36, -95, 89, -73]
  Compare 89 and -73
  Swap 89 and -73
  List after swap: [-82, -37, -69, 36, -95, -73, 89]

Pass 2:
  Compare -82 and -37
  No swap needed
  Compare -37 and -69
  Swap -37 and -69
  List after swap: [-82, -69, -37, 36, -95, -73, 89]
  Compare -37 and 36
  No swap needed
  Compare 36 and -95
  Swap 36 and -95
  List after swap: [-82, -69, -37, -95, 36, -73, 89]
  Compare 36 and -73
  Swap 36 and -73
  List after swap: [-82, -69, -37, -95, -73, 36, 89]

Pass 3:
  Compare -82 and -69
  No swap needed
  Compare -69 and -37
  No swap needed
  Compare -37 and -95
  Swap -37 and -95
  List after swap: [-82, -69, -95, -37, -73, 36, 89]
  Compare -37 and -73
  Swap -37 and -73
  List after swap: [-82, -69, -95, -73, -37, 36, 89]

Pass 4:
  Compare -82 and -69
  No swap needed
  Compare -69 and -95
  Swap -69 and -95
  List after swap: [-82, -95, -69, -73, -37, 36, 89]
  Compare -69 and -73
  Swap -69 and -73
  List after swap: [-82, -95, -73, -69, -37, 36, 89]

Pass 5:
  Compare -82 and -95
  Swap -82 and -95
  List after swap: [-95, -82, -73, -69, -37, 36, 89]
  Compare -82 and -73
  No swap needed

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

Final sorted list: [-95, -82, -73, -69, -37, 36, 89]
</think>

<response>-95, -82, -73, -69, -37, 36, 89</response>


input: Sort the list -16, -44, -71, -83, -67, 93, 2, 13, 22, 79 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-16, -44, -71, -83, -67, 93, 2, 13, 22, 79]

Pass 1:
  Compare -16 and -44
  Swap -16 and -44
  List after swap: [-44, -16, -71, -83, -67, 93, 2, 13, 22, 79]
  Compare -16 and -71
  Swap -16 and -71
  List after swap: [-44, -71, -16, -83, -67, 93, 2, 13, 22, 79]
  Compare -16 and -83
  Swap -16 and -83
  List after swap: [-44, -71, -83, -16, -67, 93, 2, 13, 22, 79]
  Compare -16 and -67
  Swap -16 and -67
  List after swap: [-44, -71, -83, -67, -16, 93, 2, 13, 22, 79]
  Compare -16 and 93
  No swap needed
  Compare 93 and 2
  Swap 93 and 2
  List after swap: [-44, -71, -83, -67, -16, 2, 93, 13, 22, 79]
  Compare 93 and 13
  Swap 93 and 13
  List after swap: [-44, -71, -83, -67, -16, 2, 13, 93, 22, 79]
  Compare 93 and 22
  Swap 93 and 22
  List after swap: [-44, -71, -83, -67, -16, 2, 13, 22, 93, 79]
  Compare 93 and 79
  Swap 93 and 79
  List after swap: [-44, -71, -83, -67, -16, 2, 13, 22, 79, 93]

Pass 2:
  Compare -44 and -71
  Swap -44 and -71
  List after swap: [-71, -44, -83, -67, -16, 2, 13, 22, 79, 93]
  Compare -44 and -83
  Swap -44 and -83
  List after swap: [-71, -83, -44, -67, -16, 2, 13, 22, 79, 93]
  Compare -44 and -67
  Swap -44 and -67
  List after swap: [-71, -83, -67, -44, -16, 2, 13, 22, 79, 93]
  Compare -44 and -16
  No swap needed
  Compare -16 and 2
  No swap needed
  Compare 2 and 13
  No swap needed
  Compare 13 and 22
  No swap needed
  Compare 22 and 79
  No swap needed

Pass 3:
  Compare -71 and -83
  Swap -71 and -83
  List after swap: [-83, -71, -67, -44, -16, 2, 13, 22, 79, 93]
  Compare -71 and -67
  No swap needed
  Compare -67 and -44
  No swap needed
  Compare -44 and -16
  No swap needed
  Compare -16 and 2
  No swap needed
  Compare 2 and 13
  No swap needed
  Compare 13 and 22
  No swap needed

Pass 4:
  Compare -83 and -71
  No swap needed
  Compare -71 and -67
  No swap needed
  Compare -67 and -44
  No swap needed
  Compare -44 and -16
  No swap needed
  Compare -16 and 2
  No swap needed
  Compare 2 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -71, -67, -44, -16, 2, 13, 22, 79, 93]
</think>

<response>-83, -71, -67, -44, -16, 2, 13, 22, 79, 93</response>


input: Demonstrate how bubble sort orders the integers -23, -85, -75, 55, -27, 36, 74, 5, 60, -68 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-23, -85, -75, 55, -27, 36, 74, 5, 60, -68]

Pass 1:
  Compare -23 and -85
  Swap -23 and -85
  List after swap: [-85, -23, -75, 55, -27, 36, 74, 5, 60, -68]
  Compare -23 and -75
  Swap -23 and -75
  List after swap: [-85, -75, -23, 55, -27, 36, 74, 5, 60, -68]
  Compare -23 and 55
  No swap needed
  Compare 55 and -27
  Swap 55 and -27
  List after swap: [-85, -75, -23, -27, 55, 36, 74, 5, 60, -68]
  Compare 55 and 36
  Swap 55 and 36
  List after swap: [-85, -75, -23, -27, 36, 55, 74, 5, 60, -68]
  Compare 55 and 74
  No swap needed
  Compare 74 and 5
  Swap 74 and 5
  List after swap: [-85, -75, -23, -27, 36, 55, 5, 74, 60, -68]
  Compare 74 and 60
  Swap 74 and 60
  List after swap: [-85, -75, -23, -27, 36, 55, 5, 60, 74, -68]
  Compare 74 and -68
  Swap 74 and -68
  List after swap: [-85, -75, -23, -27, 36, 55, 5, 60, -68, 74]

Pass 2:
  Compare -85 and -75
  No swap needed
  Compare -75 and -23
  No swap needed
  Compare -23 and -27
  Swap -23 and -27
  List after swap: [-85, -75, -27, -23, 36, 55, 5, 60, -68, 74]
  Compare -23 and 36
  No swap needed
  Compare 36 and 55
  No swap needed
  Compare 55 and 5
  Swap 55 and 5
  List after swap: [-85, -75, -27, -23, 36, 5, 55, 60, -68, 74]
  Compare 55 and 60
  No swap needed
  Compare 60 and -68
  Swap 60 and -68
  List after swap: [-85, -75, -27, -23, 36, 5, 55, -68, 60, 74]

Pass 3:
  Compare -85 and -75
  No swap needed
  Compare -75 and -27
  No swap needed
  Compare -27 and -23
  No swap needed
  Compare -23 and 36
  No swap needed
  Compare 36 and 5
  Swap 36 and 5
  List after swap: [-85, -75, -27, -23, 5, 36, 55, -68, 60, 74]
  Compare 36 and 55
  No swap needed
  Compare 55 and -68
  Swap 55 and -68
  List after swap: [-85, -75, -27, -23, 5, 36, -68, 55, 60, 74]

Pass 4:
  Compare -85 and -75
  No swap needed
  Compare -75 and -27
  No swap needed
  Compare -27 and -23
  No swap needed
  Compare -23 and 5
  No swap needed
  Compare 5 and 36
  No swap needed
  Compare 36 and -68
  Swap 36 and -68
  List after swap: [-85, -75, -27, -23, 5, -68, 36, 55, 60, 74]

Pass 5:
  Compare -85 and -75
  No swap needed
  Compare -75 and -27
  No swap needed
  Compare -27 and -23
  No swap needed
  Compare -23 and 5
  No swap needed
  Compare 5 and -68
  Swap 5 and -68
  List after swap: [-85, -75, -27, -23, -68, 5, 36, 55, 60, 74]

Pass 6:
  Compare -85 and -75
  No swap needed
  Compare -75 and -27
  No swap needed
  Compare -27 and -23
  No swap needed
  Compare -23 and -68
  Swap -23 and -68
  List after swap: [-85, -75, -27, -68, -23, 5, 36, 55, 60, 74]

Pass 7:
  Compare -85 and -75
  No swap needed
  Compare -75 and -27
  No swap needed
  Compare -27 and -68
  Swap -27 and -68
  List after swap: [-85, -75, -68, -27, -23, 5, 36, 55, 60, 74]

Pass 8:
  Compare -85 and -75
  No swap needed
  Compare -75 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -75, -68, -27, -23, 5, 36, 55, 60, 74]
</think>

<response>-85, -75, -68, -27, -23, 5, 36, 55, 60, 74</response>


input: Implement bubble sort on 86, -67 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [86, -67]

Pass 1:
  Compare 86 and -67
  Swap 86 and -67
  List after swap: [-67, 86]

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

Final sorted list: [-67, 86]
</think>

<response>-67, 86</response>


input: Sort these integers 69, -79, 71, 45 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [69, -79, 71, 45]

Pass 1:
  Compare 69 and -79
  Swap 69 and -79
  List after swap: [-79, 69, 71, 45]
  Compare 69 and 71
  No swap needed
  Compare 71 and 45
  Swap 71 and 45
  List after swap: [-79, 69, 45, 71]

Pass 2:
  Compare -79 and 69
  No swap needed
  Compare 69 and 45
  Swap 69 and 45
  List after swap: [-79, 45, 69, 71]

Pass 3:
  Compare -79 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, 45, 69, 71]
</think>

<response>-79, 45, 69, 71</response>


input: Demonstrate how bubble sort orders the integers 0, 51, 76, 10, -26, -86, -92 in ascending sequence, showing all steps.

output:
<think>
Initial list: [0, 51, 76, 10, -26, -86, -92]

Pass 1:
  Compare 0 and 51
  No swap needed
  Compare 51 and 76
  No swap needed
  Compare 76 and 10
  Swap 76 and 10
  List after swap: [0, 51, 10, 76, -26, -86, -92]
  Compare 76 and -26
  Swap 76 and -26
  List after swap: [0, 51, 10, -26, 76, -86, -92]
  Compare 76 and -86
  Swap 76 and -86
  List after swap: [0, 51, 10, -26, -86, 76, -92]
  Compare 76 and -92
  Swap 76 and -92
  List after swap: [0, 51, 10, -26, -86, -92, 76]

Pass 2:
  Compare 0 and 51
  No swap needed
  Compare 51 and 10
  Swap 51 and 10
  List after swap: [0, 10, 51, -26, -86, -92, 76]
  Compare 51 and -26
  Swap 51 and -26
  List after swap: [0, 10, -26, 51, -86, -92, 76]
  Compare 51 and -86
  Swap 51 and -86
  List after swap: [0, 10, -26, -86, 51, -92, 76]
  Compare 51 and -92
  Swap 51 and -92
  List after swap: [0, 10, -26, -86, -92, 51, 76]

Pass 3:
  Compare 0 and 10
  No swap needed
  Compare 10 and -26
  Swap 10 and -26
  List after swap: [0, -26, 10, -86, -92, 51, 76]
  Compare 10 and -86
  Swap 10 and -86
  List after swap: [0, -26, -86, 10, -92, 51, 76]
  Compare 10 and -92
  Swap 10 and -92
  List after swap: [0, -26, -86, -92, 10, 51, 76]

Pass 4:
  Compare 0 and -26
  Swap 0 and -26
  List after swap: [-26, 0, -86, -92, 10, 51, 76]
  Compare 0 and -86
  Swap 0 and -86
  List after swap: [-26, -86, 0, -92, 10, 51, 76]
  Compare 0 and -92
  Swap 0 and -92
  List after swap: [-26, -86, -92, 0, 10, 51, 76]

Pass 5:
  Compare -26 and -86
  Swap -26 and -86
  List after swap: [-86, -26, -92, 0, 10, 51, 76]
  Compare -26 and -92
  Swap -26 and -92
  List after swap: [-86, -92, -26, 0, 10, 51, 76]

Pass 6:
  Compare -86 and -92
  Swap -86 and -92
  List after swap: [-92, -86, -26, 0, 10, 51, 76]

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

Final sorted list: [-92, -86, -26, 0, 10, 51, 76]
</think>

<response>-92, -86, -26, 0, 10, 51, 76</response>


input: Execute bubble sort to sort -42, -11, -64, 12, 69, 73, 31, 79, -3, 65 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-42, -11, -64, 12, 69, 73, 31, 79, -3, 65]

Pass 1:
  Compare -42 and -11
  No swap needed
  Compare -11 and -64
  Swap -11 and -64
  List after swap: [-42, -64, -11, 12, 69, 73, 31, 79, -3, 65]
  Compare -11 and 12
  No swap needed
  Compare 12 and 69
  No swap needed
  Compare 69 and 73
  No swap needed
  Compare 73 and 31
  Swap 73 and 31
  List after swap: [-42, -64, -11, 12, 69, 31, 73, 79, -3, 65]
  Compare 73 and 79
  No swap needed
  Compare 79 and -3
  Swap 79 and -3
  List after swap: [-42, -64, -11, 12, 69, 31, 73, -3, 79, 65]
  Compare 79 and 65
  Swap 79 and 65
  List after swap: [-42, -64, -11, 12, 69, 31, 73, -3, 65, 79]

Pass 2:
  Compare -42 and -64
  Swap -42 and -64
  List after swap: [-64, -42, -11, 12, 69, 31, 73, -3, 65, 79]
  Compare -42 and -11
  No swap needed
  Compare -11 and 12
  No swap needed
  Compare 12 and 69
  No swap needed
  Compare 69 and 31
  Swap 69 and 31
  List after swap: [-64, -42, -11, 12, 31, 69, 73, -3, 65, 79]
  Compare 69 and 73
  No swap needed
  Compare 73 and -3
  Swap 73 and -3
  List after swap: [-64, -42, -11, 12, 31, 69, -3, 73, 65, 79]
  Compare 73 and 65
  Swap 73 and 65
  List after swap: [-64, -42, -11, 12, 31, 69, -3, 65, 73, 79]

Pass 3:
  Compare -64 and -42
  No swap needed
  Compare -42 and -11
  No swap needed
  Compare -11 and 12
  No swap needed
  Compare 12 and 31
  No swap needed
  Compare 31 and 69
  No swap needed
  Compare 69 and -3
  Swap 69 and -3
  List after swap: [-64, -42, -11, 12, 31, -3, 69, 65, 73, 79]
  Compare 69 and 65
  Swap 69 and 65
  List after swap: [-64, -42, -11, 12, 31, -3, 65, 69, 73, 79]

Pass 4:
  Compare -64 and -42
  No swap needed
  Compare -42 and -11
  No swap needed
  Compare -11 and 12
  No swap needed
  Compare 12 and 31
  No swap needed
  Compare 31 and -3
  Swap 31 and -3
  List after swap: [-64, -42, -11, 12, -3, 31, 65, 69, 73, 79]
  Compare 31 and 65
  No swap needed

Pass 5:
  Compare -64 and -42
  No swap needed
  Compare -42 and -11
  No swap needed
  Compare -11 and 12
  No swap needed
  Compare 12 and -3
  Swap 12 and -3
  List after swap: [-64, -42, -11, -3, 12, 31, 65, 69, 73, 79]
  Compare 12 and 31
  No swap needed

Pass 6:
  Compare -64 and -42
  No swap needed
  Compare -42 and -11
  No swap needed
  Compare -11 and -3
  No swap needed
  Compare -3 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -42, -11, -3, 12, 31, 65, 69, 73, 79]
</think>

<response>-64, -42, -11, -3, 12, 31, 65, 69, 73, 79</response>


input: Carry out the bubble sort algorithm on -90, -22, 26 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-90, -22, 26]

Pass 1:
  Compare -90 and -22
  No swap needed
  Compare -22 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -22, 26]
</think>

<response>-90, -22, 26</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -67, 28, -13, -24, -35, 3, 63.

output:
<think>
Initial list: [-67, 28, -13, -24, -35, 3, 63]

Pass 1:
  Compare -67 and 28
  No swap needed
  Compare 28 and -13
  Swap 28 and -13
  List after swap: [-67, -13, 28, -24, -35, 3, 63]
  Compare 28 and -24
  Swap 28 and -24
  List after swap: [-67, -13, -24, 28, -35, 3, 63]
  Compare 28 and -35
  Swap 28 and -35
  List after swap: [-67, -13, -24, -35, 28, 3, 63]
  Compare 28 and 3
  Swap 28 and 3
  List after swap: [-67, -13, -24, -35, 3, 28, 63]
  Compare 28 and 63
  No swap needed

Pass 2:
  Compare -67 and -13
  No swap needed
  Compare -13 and -24
  Swap -13 and -24
  List after swap: [-67, -24, -13, -35, 3, 28, 63]
  Compare -13 and -35
  Swap -13 and -35
  List after swap: [-67, -24, -35, -13, 3, 28, 63]
  Compare -13 and 3
  No swap needed
  Compare 3 and 28
  No swap needed

Pass 3:
  Compare -67 and -24
  No swap needed
  Compare -24 and -35
  Swap -24 and -35
  List after swap: [-67, -35, -24, -13, 3, 28, 63]
  Compare -24 and -13
  No swap needed
  Compare -13 and 3
  No swap needed

Pass 4:
  Compare -67 and -35
  No swap needed
  Compare -35 and -24
  No swap needed
  Compare -24 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -35, -24, -13, 3, 28, 63]
</think>

<response>-67, -35, -24, -13, 3, 28, 63</response>


input: Perform a bubble sort on the integers 4, -82, 39, 79, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [4, -82, 39, 79]

Pass 1:
  Compare 4 and -82
  Swap 4 and -82
  List after swap: [-82, 4, 39, 79]
  Compare 4 and 39
  No swap needed
  Compare 39 and 79
  No swap needed

Pass 2:
  Compare -82 and 4
  No swap needed
  Compare 4 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, 4, 39, 79]
</think>

<response>-82, 4, 39, 79</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 59, 54, 37, -54, -82, 45.

output:
<think>
Initial list: [59, 54, 37, -54, -82, 45]

Pass 1:
  Compare 59 and 54
  Swap 59 and 54
  List after swap: [54, 59, 37, -54, -82, 45]
  Compare 59 and 37
  Swap 59 and 37
  List after swap: [54, 37, 59, -54, -82, 45]
  Compare 59 and -54
  Swap 59 and -54
  List after swap: [54, 37, -54, 59, -82, 45]
  Compare 59 and -82
  Swap 59 and -82
  List after swap: [54, 37, -54, -82, 59, 45]
  Compare 59 and 45
  Swap 59 and 45
  List after swap: [54, 37, -54, -82, 45, 59]

Pass 2:
  Compare 54 and 37
  Swap 54 and 37
  List after swap: [37, 54, -54, -82, 45, 59]
  Compare 54 and -54
  Swap 54 and -54
  List after swap: [37, -54, 54, -82, 45, 59]
  Compare 54 and -82
  Swap 54 and -82
  List after swap: [37, -54, -82, 54, 45, 59]
  Compare 54 and 45
  Swap 54 and 45
  List after swap: [37, -54, -82, 45, 54, 59]

Pass 3:
  Compare 37 and -54
  Swap 37 and -54
  List after swap: [-54, 37, -82, 45, 54, 59]
  Compare 37 and -82
  Swap 37 and -82
  List after swap: [-54, -82, 37, 45, 54, 59]
  Compare 37 and 45
  No swap needed

Pass 4:
  Compare -54 and -82
  Swap -54 and -82
  List after swap: [-82, -54, 37, 45, 54, 59]
  Compare -54 and 37
  No swap needed

Pass 5:
  Compare -82 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -54, 37, 45, 54, 59]
</think>

<response>-82, -54, 37, 45, 54, 59</response>


input: Arrange the numbers -24, 97, -1, -16, 25 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-24, 97, -1, -16, 25]

Pass 1:
  Compare -24 and 97
  No swap needed
  Compare 97 and -1
  Swap 97 and -1
  List after swap: [-24, -1, 97, -16, 25]
  Compare 97 and -16
  Swap 97 and -16
  List after swap: [-24, -1, -16, 97, 25]
  Compare 97 and 25
  Swap 97 and 25
  List after swap: [-24, -1, -16, 25, 97]

Pass 2:
  Compare -24 and -1
  No swap needed
  Compare -1 and -16
  Swap -1 and -16
  List after swap: [-24, -16, -1, 25, 97]
  Compare -1 and 25
  No swap needed

Pass 3:
  Compare -24 and -16
  No swap needed
  Compare -16 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, -16, -1, 25, 97]
</think>

<response>-24, -16, -1, 25, 97</response>


input: Using the bubble sort method, sort 1, -55, -27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [1, -55, -27]

Pass 1:
  Compare 1 and -55
  Swap 1 and -55
  List after swap: [-55, 1, -27]
  Compare 1 and -27
  Swap 1 and -27
  List after swap: [-55, -27, 1]

Pass 2:
  Compare -55 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -27, 1]
</think>

<response>-55, -27, 1</response>


input: Carry out the bubble sort algorithm on 17, 29, 61, 32, -61, -22, 54, -40, 51 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [17, 29, 61, 32, -61, -22, 54, -40, 51]

Pass 1:
  Compare 17 and 29
  No swap needed
  Compare 29 and 61
  No swap needed
  Compare 61 and 32
  Swap 61 and 32
  List after swap: [17, 29, 32, 61, -61, -22, 54, -40, 51]
  Compare 61 and -61
  Swap 61 and -61
  List after swap: [17, 29, 32, -61, 61, -22, 54, -40, 51]
  Compare 61 and -22
  Swap 61 and -22
  List after swap: [17, 29, 32, -61, -22, 61, 54, -40, 51]
  Compare 61 and 54
  Swap 61 and 54
  List after swap: [17, 29, 32, -61, -22, 54, 61, -40, 51]
  Compare 61 and -40
  Swap 61 and -40
  List after swap: [17, 29, 32, -61, -22, 54, -40, 61, 51]
  Compare 61 and 51
  Swap 61 and 51
  List after swap: [17, 29, 32, -61, -22, 54, -40, 51, 61]

Pass 2:
  Compare 17 and 29
  No swap needed
  Compare 29 and 32
  No swap needed
  Compare 32 and -61
  Swap 32 and -61
  List after swap: [17, 29, -61, 32, -22, 54, -40, 51, 61]
  Compare 32 and -22
  Swap 32 and -22
  List after swap: [17, 29, -61, -22, 32, 54, -40, 51, 61]
  Compare 32 and 54
  No swap needed
  Compare 54 and -40
  Swap 54 and -40
  List after swap: [17, 29, -61, -22, 32, -40, 54, 51, 61]
  Compare 54 and 51
  Swap 54 and 51
  List after swap: [17, 29, -61, -22, 32, -40, 51, 54, 61]

Pass 3:
  Compare 17 and 29
  No swap needed
  Compare 29 and -61
  Swap 29 and -61
  List after swap: [17, -61, 29, -22, 32, -40, 51, 54, 61]
  Compare 29 and -22
  Swap 29 and -22
  List after swap: [17, -61, -22, 29, 32, -40, 51, 54, 61]
  Compare 29 and 32
  No swap needed
  Compare 32 and -40
  Swap 32 and -40
  List after swap: [17, -61, -22, 29, -40, 32, 51, 54, 61]
  Compare 32 and 51
  No swap needed

Pass 4:
  Compare 17 and -61
  Swap 17 and -61
  List after swap: [-61, 17, -22, 29, -40, 32, 51, 54, 61]
  Compare 17 and -22
  Swap 17 and -22
  List after swap: [-61, -22, 17, 29, -40, 32, 51, 54, 61]
  Compare 17 and 29
  No swap needed
  Compare 29 and -40
  Swap 29 and -40
  List after swap: [-61, -22, 17, -40, 29, 32, 51, 54, 61]
  Compare 29 and 32
  No swap needed

Pass 5:
  Compare -61 and -22
  No swap needed
  Compare -22 and 17
  No swap needed
  Compare 17 and -40
  Swap 17 and -40
  List after swap: [-61, -22, -40, 17, 29, 32, 51, 54, 61]
  Compare 17 and 29
  No swap needed

Pass 6:
  Compare -61 and -22
  No swap needed
  Compare -22 and -40
  Swap -22 and -40
  List after swap: [-61, -40, -22, 17, 29, 32, 51, 54, 61]
  Compare -22 and 17
  No swap needed

Pass 7:
  Compare -61 and -40
  No swap needed
  Compare -40 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -40, -22, 17, 29, 32, 51, 54, 61]
</think>

<response>-61, -40, -22, 17, 29, 32, 51, 54, 61</response>


input: Demonstrate how bubble sort orders the integers -25, 75, 70, -16, -32, -19, 65, 31, 12 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-25, 75, 70, -16, -32, -19, 65, 31, 12]

Pass 1:
  Compare -25 and 75
  No swap needed
  Compare 75 and 70
  Swap 75 and 70
  List after swap: [-25, 70, 75, -16, -32, -19, 65, 31, 12]
  Compare 75 and -16
  Swap 75 and -16
  List after swap: [-25, 70, -16, 75, -32, -19, 65, 31, 12]
  Compare 75 and -32
  Swap 75 and -32
  List after swap: [-25, 70, -16, -32, 75, -19, 65, 31, 12]
  Compare 75 and -19
  Swap 75 and -19
  List after swap: [-25, 70, -16, -32, -19, 75, 65, 31, 12]
  Compare 75 and 65
  Swap 75 and 65
  List after swap: [-25, 70, -16, -32, -19, 65, 75, 31, 12]
  Compare 75 and 31
  Swap 75 and 31
  List after swap: [-25, 70, -16, -32, -19, 65, 31, 75, 12]
  Compare 75 and 12
  Swap 75 and 12
  List after swap: [-25, 70, -16, -32, -19, 65, 31, 12, 75]

Pass 2:
  Compare -25 and 70
  No swap needed
  Compare 70 and -16
  Swap 70 and -16
  List after swap: [-25, -16, 70, -32, -19, 65, 31, 12, 75]
  Compare 70 and -32
  Swap 70 and -32
  List after swap: [-25, -16, -32, 70, -19, 65, 31, 12, 75]
  Compare 70 and -19
  Swap 70 and -19
  List after swap: [-25, -16, -32, -19, 70, 65, 31, 12, 75]
  Compare 70 and 65
  Swap 70 and 65
  List after swap: [-25, -16, -32, -19, 65, 70, 31, 12, 75]
  Compare 70 and 31
  Swap 70 and 31
  List after swap: [-25, -16, -32, -19, 65, 31, 70, 12, 75]
  Compare 70 and 12
  Swap 70 and 12
  List after swap: [-25, -16, -32, -19, 65, 31, 12, 70, 75]

Pass 3:
  Compare -25 and -16
  No swap needed
  Compare -16 and -32
  Swap -16 and -32
  List after swap: [-25, -32, -16, -19, 65, 31, 12, 70, 75]
  Compare -16 and -19
  Swap -16 and -19
  List after swap: [-25, -32, -19, -16, 65, 31, 12, 70, 75]
  Compare -16 and 65
  No swap needed
  Compare 65 and 31
  Swap 65 and 31
  List after swap: [-25, -32, -19, -16, 31, 65, 12, 70, 75]
  Compare 65 and 12
  Swap 65 and 12
  List after swap: [-25, -32, -19, -16, 31, 12, 65, 70, 75]

Pass 4:
  Compare -25 and -32
  Swap -25 and -32
  List after swap: [-32, -25, -19, -16, 31, 12, 65, 70, 75]
  Compare -25 and -19
  No swap needed
  Compare -19 and -16
  No swap needed
  Compare -16 and 31
  No swap needed
  Compare 31 and 12
  Swap 31 and 12
  List after swap: [-32, -25, -19, -16, 12, 31, 65, 70, 75]

Pass 5:
  Compare -32 and -25
  No swap needed
  Compare -25 and -19
  No swap needed
  Compare -19 and -16
  No swap needed
  Compare -16 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -25, -19, -16, 12, 31, 65, 70, 75]
</think>

<response>-32, -25, -19, -16, 12, 31, 65, 70, 75</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -8, 68, -79, 60, 8.

output:
<think>
Initial list: [-8, 68, -79, 60, 8]

Pass 1:
  Compare -8 and 68
  No swap needed
  Compare 68 and -79
  Swap 68 and -79
  List after swap: [-8, -79, 68, 60, 8]
  Compare 68 and 60
  Swap 68 and 60
  List after swap: [-8, -79, 60, 68, 8]
  Compare 68 and 8
  Swap 68 and 8
  List after swap: [-8, -79, 60, 8, 68]

Pass 2:
  Compare -8 and -79
  Swap -8 and -79
  List after swap: [-79, -8, 60, 8, 68]
  Compare -8 and 60
  No swap needed
  Compare 60 and 8
  Swap 60 and 8
  List after swap: [-79, -8, 8, 60, 68]

Pass 3:
  Compare -79 and -8
  No swap needed
  Compare -8 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -8, 8, 60, 68]
</think>

<response>-79, -8, 8, 60, 68</response>


input: Sort the list 60, 99, 70, 23 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [60, 99, 70, 23]

Pass 1:
  Compare 60 and 99
  No swap needed
  Compare 99 and 70
  Swap 99 and 70
  List after swap: [60, 70, 99, 23]
  Compare 99 and 23
  Swap 99 and 23
  List after swap: [60, 70, 23, 99]

Pass 2:
  Compare 60 and 70
  No swap needed
  Compare 70 and 23
  Swap 70 and 23
  List after swap: [60, 23, 70, 99]

Pass 3:
  Compare 60 and 23
  Swap 60 and 23
  List after swap: [23, 60, 70, 99]

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

Final sorted list: [23, 60, 70, 99]
</think>

<response>23, 60, 70, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 85, 5, 92, 12, 51.

output:
<think>
Initial list: [85, 5, 92, 12, 51]

Pass 1:
  Compare 85 and 5
  Swap 85 and 5
  List after swap: [5, 85, 92, 12, 51]
  Compare 85 and 92
  No swap needed
  Compare 92 and 12
  Swap 92 and 12
  List after swap: [5, 85, 12, 92, 51]
  Compare 92 and 51
  Swap 92 and 51
  List after swap: [5, 85, 12, 51, 92]

Pass 2:
  Compare 5 and 85
  No swap needed
  Compare 85 and 12
  Swap 85 and 12
  List after swap: [5, 12, 85, 51, 92]
  Compare 85 and 51
  Swap 85 and 51
  List after swap: [5, 12, 51, 85, 92]

Pass 3:
  Compare 5 and 12
  No swap needed
  Compare 12 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [5, 12, 51, 85, 92]
</think>

<response>5, 12, 51, 85, 92</response>