input: Carry out the bubble sort algorithm on 39, 29, -67, -36, -21, -9, 35, 6 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [39, 29, -67, -36, -21, -9, 35, 6]

Pass 1:
  Compare 39 and 29
  Swap 39 and 29
  List after swap: [29, 39, -67, -36, -21, -9, 35, 6]
  Compare 39 and -67
  Swap 39 and -67
  List after swap: [29, -67, 39, -36, -21, -9, 35, 6]
  Compare 39 and -36
  Swap 39 and -36
  List after swap: [29, -67, -36, 39, -21, -9, 35, 6]
  Compare 39 and -21
  Swap 39 and -21
  List after swap: [29, -67, -36, -21, 39, -9, 35, 6]
  Compare 39 and -9
  Swap 39 and -9
  List after swap: [29, -67, -36, -21, -9, 39, 35, 6]
  Compare 39 and 35
  Swap 39 and 35
  List after swap: [29, -67, -36, -21, -9, 35, 39, 6]
  Compare 39 and 6
  Swap 39 and 6
  List after swap: [29, -67, -36, -21, -9, 35, 6, 39]

Pass 2:
  Compare 29 and -67
  Swap 29 and -67
  List after swap: [-67, 29, -36, -21, -9, 35, 6, 39]
  Compare 29 and -36
  Swap 29 and -36
  List after swap: [-67, -36, 29, -21, -9, 35, 6, 39]
  Compare 29 and -21
  Swap 29 and -21
  List after swap: [-67, -36, -21, 29, -9, 35, 6, 39]
  Compare 29 and -9
  Swap 29 and -9
  List after swap: [-67, -36, -21, -9, 29, 35, 6, 39]
  Compare 29 and 35
  No swap needed
  Compare 35 and 6
  Swap 35 and 6
  List after swap: [-67, -36, -21, -9, 29, 6, 35, 39]

Pass 3:
  Compare -67 and -36
  No swap needed
  Compare -36 and -21
  No swap needed
  Compare -21 and -9
  No swap needed
  Compare -9 and 29
  No swap needed
  Compare 29 and 6
  Swap 29 and 6
  List after swap: [-67, -36, -21, -9, 6, 29, 35, 39]

Pass 4:
  Compare -67 and -36
  No swap needed
  Compare -36 and -21
  No swap needed
  Compare -21 and -9
  No swap needed
  Compare -9 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -36, -21, -9, 6, 29, 35, 39]
</think>

<response>-67, -36, -21, -9, 6, 29, 35, 39</response>


input: Execute bubble sort to sort -14, 63, 90, -43, 69, -19, -21, 47, -27 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-14, 63, 90, -43, 69, -19, -21, 47, -27]

Pass 1:
  Compare -14 and 63
  No swap needed
  Compare 63 and 90
  No swap needed
  Compare 90 and -43
  Swap 90 and -43
  List after swap: [-14, 63, -43, 90, 69, -19, -21, 47, -27]
  Compare 90 and 69
  Swap 90 and 69
  List after swap: [-14, 63, -43, 69, 90, -19, -21, 47, -27]
  Compare 90 and -19
  Swap 90 and -19
  List after swap: [-14, 63, -43, 69, -19, 90, -21, 47, -27]
  Compare 90 and -21
  Swap 90 and -21
  List after swap: [-14, 63, -43, 69, -19, -21, 90, 47, -27]
  Compare 90 and 47
  Swap 90 and 47
  List after swap: [-14, 63, -43, 69, -19, -21, 47, 90, -27]
  Compare 90 and -27
  Swap 90 and -27
  List after swap: [-14, 63, -43, 69, -19, -21, 47, -27, 90]

Pass 2:
  Compare -14 and 63
  No swap needed
  Compare 63 and -43
  Swap 63 and -43
  List after swap: [-14, -43, 63, 69, -19, -21, 47, -27, 90]
  Compare 63 and 69
  No swap needed
  Compare 69 and -19
  Swap 69 and -19
  List after swap: [-14, -43, 63, -19, 69, -21, 47, -27, 90]
  Compare 69 and -21
  Swap 69 and -21
  List after swap: [-14, -43, 63, -19, -21, 69, 47, -27, 90]
  Compare 69 and 47
  Swap 69 and 47
  List after swap: [-14, -43, 63, -19, -21, 47, 69, -27, 90]
  Compare 69 and -27
  Swap 69 and -27
  List after swap: [-14, -43, 63, -19, -21, 47, -27, 69, 90]

Pass 3:
  Compare -14 and -43
  Swap -14 and -43
  List after swap: [-43, -14, 63, -19, -21, 47, -27, 69, 90]
  Compare -14 and 63
  No swap needed
  Compare 63 and -19
  Swap 63 and -19
  List after swap: [-43, -14, -19, 63, -21, 47, -27, 69, 90]
  Compare 63 and -21
  Swap 63 and -21
  List after swap: [-43, -14, -19, -21, 63, 47, -27, 69, 90]
  Compare 63 and 47
  Swap 63 and 47
  List after swap: [-43, -14, -19, -21, 47, 63, -27, 69, 90]
  Compare 63 and -27
  Swap 63 and -27
  List after swap: [-43, -14, -19, -21, 47, -27, 63, 69, 90]

Pass 4:
  Compare -43 and -14
  No swap needed
  Compare -14 and -19
  Swap -14 and -19
  List after swap: [-43, -19, -14, -21, 47, -27, 63, 69, 90]
  Compare -14 and -21
  Swap -14 and -21
  List after swap: [-43, -19, -21, -14, 47, -27, 63, 69, 90]
  Compare -14 and 47
  No swap needed
  Compare 47 and -27
  Swap 47 and -27
  List after swap: [-43, -19, -21, -14, -27, 47, 63, 69, 90]

Pass 5:
  Compare -43 and -19
  No swap needed
  Compare -19 and -21
  Swap -19 and -21
  List after swap: [-43, -21, -19, -14, -27, 47, 63, 69, 90]
  Compare -19 and -14
  No swap needed
  Compare -14 and -27
  Swap -14 and -27
  List after swap: [-43, -21, -19, -27, -14, 47, 63, 69, 90]

Pass 6:
  Compare -43 and -21
  No swap needed
  Compare -21 and -19
  No swap needed
  Compare -19 and -27
  Swap -19 and -27
  List after swap: [-43, -21, -27, -19, -14, 47, 63, 69, 90]

Pass 7:
  Compare -43 and -21
  No swap needed
  Compare -21 and -27
  Swap -21 and -27
  List after swap: [-43, -27, -21, -19, -14, 47, 63, 69, 90]

Pass 8:
  Compare -43 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -27, -21, -19, -14, 47, 63, 69, 90]
</think>

<response>-43, -27, -21, -19, -14, 47, 63, 69, 90</response>


input: Using the bubble sort method, sort 29, -28, -79, 2, 43 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [29, -28, -79, 2, 43]

Pass 1:
  Compare 29 and -28
  Swap 29 and -28
  List after swap: [-28, 29, -79, 2, 43]
  Compare 29 and -79
  Swap 29 and -79
  List after swap: [-28, -79, 29, 2, 43]
  Compare 29 and 2
  Swap 29 and 2
  List after swap: [-28, -79, 2, 29, 43]
  Compare 29 and 43
  No swap needed

Pass 2:
  Compare -28 and -79
  Swap -28 and -79
  List after swap: [-79, -28, 2, 29, 43]
  Compare -28 and 2
  No swap needed
  Compare 2 and 29
  No swap needed

Pass 3:
  Compare -79 and -28
  No swap needed
  Compare -28 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -28, 2, 29, 43]
</think>

<response>-79, -28, 2, 29, 43</response>


input: Implement bubble sort on -41, 64 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-41, 64]

Pass 1:
  Compare -41 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, 64]
</think>

<response>-41, 64</response>


input: Demonstrate how bubble sort orders the integers -30, 38, -19, -8, -9 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-30, 38, -19, -8, -9]

Pass 1:
  Compare -30 and 38
  No swap needed
  Compare 38 and -19
  Swap 38 and -19
  List after swap: [-30, -19, 38, -8, -9]
  Compare 38 and -8
  Swap 38 and -8
  List after swap: [-30, -19, -8, 38, -9]
  Compare 38 and -9
  Swap 38 and -9
  List after swap: [-30, -19, -8, -9, 38]

Pass 2:
  Compare -30 and -19
  No swap needed
  Compare -19 and -8
  No swap needed
  Compare -8 and -9
  Swap -8 and -9
  List after swap: [-30, -19, -9, -8, 38]

Pass 3:
  Compare -30 and -19
  No swap needed
  Compare -19 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -19, -9, -8, 38]
</think>

<response>-30, -19, -9, -8, 38</response>


input: Carry out the bubble sort algorithm on 91, 74, -33, 58, 94 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [91, 74, -33, 58, 94]

Pass 1:
  Compare 91 and 74
  Swap 91 and 74
  List after swap: [74, 91, -33, 58, 94]
  Compare 91 and -33
  Swap 91 and -33
  List after swap: [74, -33, 91, 58, 94]
  Compare 91 and 58
  Swap 91 and 58
  List after swap: [74, -33, 58, 91, 94]
  Compare 91 and 94
  No swap needed

Pass 2:
  Compare 74 and -33
  Swap 74 and -33
  List after swap: [-33, 74, 58, 91, 94]
  Compare 74 and 58
  Swap 74 and 58
  List after swap: [-33, 58, 74, 91, 94]
  Compare 74 and 91
  No swap needed

Pass 3:
  Compare -33 and 58
  No swap needed
  Compare 58 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, 58, 74, 91, 94]
</think>

<response>-33, 58, 74, 91, 94</response>


input: Using the bubble sort method, sort 23, 48, -83, -91, 16 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [23, 48, -83, -91, 16]

Pass 1:
  Compare 23 and 48
  No swap needed
  Compare 48 and -83
  Swap 48 and -83
  List after swap: [23, -83, 48, -91, 16]
  Compare 48 and -91
  Swap 48 and -91
  List after swap: [23, -83, -91, 48, 16]
  Compare 48 and 16
  Swap 48 and 16
  List after swap: [23, -83, -91, 16, 48]

Pass 2:
  Compare 23 and -83
  Swap 23 and -83
  List after swap: [-83, 23, -91, 16, 48]
  Compare 23 and -91
  Swap 23 and -91
  List after swap: [-83, -91, 23, 16, 48]
  Compare 23 and 16
  Swap 23 and 16
  List after swap: [-83, -91, 16, 23, 48]

Pass 3:
  Compare -83 and -91
  Swap -83 and -91
  List after swap: [-91, -83, 16, 23, 48]
  Compare -83 and 16
  No swap needed

Pass 4:
  Compare -91 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -83, 16, 23, 48]
</think>

<response>-91, -83, 16, 23, 48</response>


input: Perform a bubble sort on the integers -100, 70, 90, 93, -14, 48, 68, 49, -51, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-100, 70, 90, 93, -14, 48, 68, 49, -51]

Pass 1:
  Compare -100 and 70
  No swap needed
  Compare 70 and 90
  No swap needed
  Compare 90 and 93
  No swap needed
  Compare 93 and -14
  Swap 93 and -14
  List after swap: [-100, 70, 90, -14, 93, 48, 68, 49, -51]
  Compare 93 and 48
  Swap 93 and 48
  List after swap: [-100, 70, 90, -14, 48, 93, 68, 49, -51]
  Compare 93 and 68
  Swap 93 and 68
  List after swap: [-100, 70, 90, -14, 48, 68, 93, 49, -51]
  Compare 93 and 49
  Swap 93 and 49
  List after swap: [-100, 70, 90, -14, 48, 68, 49, 93, -51]
  Compare 93 and -51
  Swap 93 and -51
  List after swap: [-100, 70, 90, -14, 48, 68, 49, -51, 93]

Pass 2:
  Compare -100 and 70
  No swap needed
  Compare 70 and 90
  No swap needed
  Compare 90 and -14
  Swap 90 and -14
  List after swap: [-100, 70, -14, 90, 48, 68, 49, -51, 93]
  Compare 90 and 48
  Swap 90 and 48
  List after swap: [-100, 70, -14, 48, 90, 68, 49, -51, 93]
  Compare 90 and 68
  Swap 90 and 68
  List after swap: [-100, 70, -14, 48, 68, 90, 49, -51, 93]
  Compare 90 and 49
  Swap 90 and 49
  List after swap: [-100, 70, -14, 48, 68, 49, 90, -51, 93]
  Compare 90 and -51
  Swap 90 and -51
  List after swap: [-100, 70, -14, 48, 68, 49, -51, 90, 93]

Pass 3:
  Compare -100 and 70
  No swap needed
  Compare 70 and -14
  Swap 70 and -14
  List after swap: [-100, -14, 70, 48, 68, 49, -51, 90, 93]
  Compare 70 and 48
  Swap 70 and 48
  List after swap: [-100, -14, 48, 70, 68, 49, -51, 90, 93]
  Compare 70 and 68
  Swap 70 and 68
  List after swap: [-100, -14, 48, 68, 70, 49, -51, 90, 93]
  Compare 70 and 49
  Swap 70 and 49
  List after swap: [-100, -14, 48, 68, 49, 70, -51, 90, 93]
  Compare 70 and -51
  Swap 70 and -51
  List after swap: [-100, -14, 48, 68, 49, -51, 70, 90, 93]

Pass 4:
  Compare -100 and -14
  No swap needed
  Compare -14 and 48
  No swap needed
  Compare 48 and 68
  No swap needed
  Compare 68 and 49
  Swap 68 and 49
  List after swap: [-100, -14, 48, 49, 68, -51, 70, 90, 93]
  Compare 68 and -51
  Swap 68 and -51
  List after swap: [-100, -14, 48, 49, -51, 68, 70, 90, 93]

Pass 5:
  Compare -100 and -14
  No swap needed
  Compare -14 and 48
  No swap needed
  Compare 48 and 49
  No swap needed
  Compare 49 and -51
  Swap 49 and -51
  List after swap: [-100, -14, 48, -51, 49, 68, 70, 90, 93]

Pass 6:
  Compare -100 and -14
  No swap needed
  Compare -14 and 48
  No swap needed
  Compare 48 and -51
  Swap 48 and -51
  List after swap: [-100, -14, -51, 48, 49, 68, 70, 90, 93]

Pass 7:
  Compare -100 and -14
  No swap needed
  Compare -14 and -51
  Swap -14 and -51
  List after swap: [-100, -51, -14, 48, 49, 68, 70, 90, 93]

Pass 8:
  Compare -100 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -51, -14, 48, 49, 68, 70, 90, 93]
</think>

<response>-100, -51, -14, 48, 49, 68, 70, 90, 93</response>


input: Sort these integers 18, -71 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [18, -71]

Pass 1:
  Compare 18 and -71
  Swap 18 and -71
  List after swap: [-71, 18]

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

Final sorted list: [-71, 18]
</think>

<response>-71, 18</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -27, 11, 98, -34, -58, 37, -69, -35.

output:
<think>
Initial list: [-27, 11, 98, -34, -58, 37, -69, -35]

Pass 1:
  Compare -27 and 11
  No swap needed
  Compare 11 and 98
  No swap needed
  Compare 98 and -34
  Swap 98 and -34
  List after swap: [-27, 11, -34, 98, -58, 37, -69, -35]
  Compare 98 and -58
  Swap 98 and -58
  List after swap: [-27, 11, -34, -58, 98, 37, -69, -35]
  Compare 98 and 37
  Swap 98 and 37
  List after swap: [-27, 11, -34, -58, 37, 98, -69, -35]
  Compare 98 and -69
  Swap 98 and -69
  List after swap: [-27, 11, -34, -58, 37, -69, 98, -35]
  Compare 98 and -35
  Swap 98 and -35
  List after swap: [-27, 11, -34, -58, 37, -69, -35, 98]

Pass 2:
  Compare -27 and 11
  No swap needed
  Compare 11 and -34
  Swap 11 and -34
  List after swap: [-27, -34, 11, -58, 37, -69, -35, 98]
  Compare 11 and -58
  Swap 11 and -58
  List after swap: [-27, -34, -58, 11, 37, -69, -35, 98]
  Compare 11 and 37
  No swap needed
  Compare 37 and -69
  Swap 37 and -69
  List after swap: [-27, -34, -58, 11, -69, 37, -35, 98]
  Compare 37 and -35
  Swap 37 and -35
  List after swap: [-27, -34, -58, 11, -69, -35, 37, 98]

Pass 3:
  Compare -27 and -34
  Swap -27 and -34
  List after swap: [-34, -27, -58, 11, -69, -35, 37, 98]
  Compare -27 and -58
  Swap -27 and -58
  List after swap: [-34, -58, -27, 11, -69, -35, 37, 98]
  Compare -27 and 11
  No swap needed
  Compare 11 and -69
  Swap 11 and -69
  List after swap: [-34, -58, -27, -69, 11, -35, 37, 98]
  Compare 11 and -35
  Swap 11 and -35
  List after swap: [-34, -58, -27, -69, -35, 11, 37, 98]

Pass 4:
  Compare -34 and -58
  Swap -34 and -58
  List after swap: [-58, -34, -27, -69, -35, 11, 37, 98]
  Compare -34 and -27
  No swap needed
  Compare -27 and -69
  Swap -27 and -69
  List after swap: [-58, -34, -69, -27, -35, 11, 37, 98]
  Compare -27 and -35
  Swap -27 and -35
  List after swap: [-58, -34, -69, -35, -27, 11, 37, 98]

Pass 5:
  Compare -58 and -34
  No swap needed
  Compare -34 and -69
  Swap -34 and -69
  List after swap: [-58, -69, -34, -35, -27, 11, 37, 98]
  Compare -34 and -35
  Swap -34 and -35
  List after swap: [-58, -69, -35, -34, -27, 11, 37, 98]

Pass 6:
  Compare -58 and -69
  Swap -58 and -69
  List after swap: [-69, -58, -35, -34, -27, 11, 37, 98]
  Compare -58 and -35
  No swap needed

Pass 7:
  Compare -69 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -58, -35, -34, -27, 11, 37, 98]
</think>

<response>-69, -58, -35, -34, -27, 11, 37, 98</response>


input: Perform a bubble sort on the integers -14, -55, 22, -96, -72, 41, 9, 27, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-14, -55, 22, -96, -72, 41, 9, 27]

Pass 1:
  Compare -14 and -55
  Swap -14 and -55
  List after swap: [-55, -14, 22, -96, -72, 41, 9, 27]
  Compare -14 and 22
  No swap needed
  Compare 22 and -96
  Swap 22 and -96
  List after swap: [-55, -14, -96, 22, -72, 41, 9, 27]
  Compare 22 and -72
  Swap 22 and -72
  List after swap: [-55, -14, -96, -72, 22, 41, 9, 27]
  Compare 22 and 41
  No swap needed
  Compare 41 and 9
  Swap 41 and 9
  List after swap: [-55, -14, -96, -72, 22, 9, 41, 27]
  Compare 41 and 27
  Swap 41 and 27
  List after swap: [-55, -14, -96, -72, 22, 9, 27, 41]

Pass 2:
  Compare -55 and -14
  No swap needed
  Compare -14 and -96
  Swap -14 and -96
  List after swap: [-55, -96, -14, -72, 22, 9, 27, 41]
  Compare -14 and -72
  Swap -14 and -72
  List after swap: [-55, -96, -72, -14, 22, 9, 27, 41]
  Compare -14 and 22
  No swap needed
  Compare 22 and 9
  Swap 22 and 9
  List after swap: [-55, -96, -72, -14, 9, 22, 27, 41]
  Compare 22 and 27
  No swap needed

Pass 3:
  Compare -55 and -96
  Swap -55 and -96
  List after swap: [-96, -55, -72, -14, 9, 22, 27, 41]
  Compare -55 and -72
  Swap -55 and -72
  List after swap: [-96, -72, -55, -14, 9, 22, 27, 41]
  Compare -55 and -14
  No swap needed
  Compare -14 and 9
  No swap needed
  Compare 9 and 22
  No swap needed

Pass 4:
  Compare -96 and -72
  No swap needed
  Compare -72 and -55
  No swap needed
  Compare -55 and -14
  No swap needed
  Compare -14 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -72, -55, -14, 9, 22, 27, 41]
</think>

<response>-96, -72, -55, -14, 9, 22, 27, 41</response>


input: Sort the list 67, -34, -48, 18, -10, 36, -51, -36 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [67, -34, -48, 18, -10, 36, -51, -36]

Pass 1:
  Compare 67 and -34
  Swap 67 and -34
  List after swap: [-34, 67, -48, 18, -10, 36, -51, -36]
  Compare 67 and -48
  Swap 67 and -48
  List after swap: [-34, -48, 67, 18, -10, 36, -51, -36]
  Compare 67 and 18
  Swap 67 and 18
  List after swap: [-34, -48, 18, 67, -10, 36, -51, -36]
  Compare 67 and -10
  Swap 67 and -10
  List after swap: [-34, -48, 18, -10, 67, 36, -51, -36]
  Compare 67 and 36
  Swap 67 and 36
  List after swap: [-34, -48, 18, -10, 36, 67, -51, -36]
  Compare 67 and -51
  Swap 67 and -51
  List after swap: [-34, -48, 18, -10, 36, -51, 67, -36]
  Compare 67 and -36
  Swap 67 and -36
  List after swap: [-34, -48, 18, -10, 36, -51, -36, 67]

Pass 2:
  Compare -34 and -48
  Swap -34 and -48
  List after swap: [-48, -34, 18, -10, 36, -51, -36, 67]
  Compare -34 and 18
  No swap needed
  Compare 18 and -10
  Swap 18 and -10
  List after swap: [-48, -34, -10, 18, 36, -51, -36, 67]
  Compare 18 and 36
  No swap needed
  Compare 36 and -51
  Swap 36 and -51
  List after swap: [-48, -34, -10, 18, -51, 36, -36, 67]
  Compare 36 and -36
  Swap 36 and -36
  List after swap: [-48, -34, -10, 18, -51, -36, 36, 67]

Pass 3:
  Compare -48 and -34
  No swap needed
  Compare -34 and -10
  No swap needed
  Compare -10 and 18
  No swap needed
  Compare 18 and -51
  Swap 18 and -51
  List after swap: [-48, -34, -10, -51, 18, -36, 36, 67]
  Compare 18 and -36
  Swap 18 and -36
  List after swap: [-48, -34, -10, -51, -36, 18, 36, 67]

Pass 4:
  Compare -48 and -34
  No swap needed
  Compare -34 and -10
  No swap needed
  Compare -10 and -51
  Swap -10 and -51
  List after swap: [-48, -34, -51, -10, -36, 18, 36, 67]
  Compare -10 and -36
  Swap -10 and -36
  List after swap: [-48, -34, -51, -36, -10, 18, 36, 67]

Pass 5:
  Compare -48 and -34
  No swap needed
  Compare -34 and -51
  Swap -34 and -51
  List after swap: [-48, -51, -34, -36, -10, 18, 36, 67]
  Compare -34 and -36
  Swap -34 and -36
  List after swap: [-48, -51, -36, -34, -10, 18, 36, 67]

Pass 6:
  Compare -48 and -51
  Swap -48 and -51
  List after swap: [-51, -48, -36, -34, -10, 18, 36, 67]
  Compare -48 and -36
  No swap needed

Pass 7:
  Compare -51 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -48, -36, -34, -10, 18, 36, 67]
</think>

<response>-51, -48, -36, -34, -10, 18, 36, 67</response>


input: Sort the list -80, -8, 84 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-80, -8, 84]

Pass 1:
  Compare -80 and -8
  No swap needed
  Compare -8 and 84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -8, 84]
</think>

<response>-80, -8, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -21, 81, 45, 35, -86, 13, 90, 51, 92, 38.

output:
<think>
Initial list: [-21, 81, 45, 35, -86, 13, 90, 51, 92, 38]

Pass 1:
  Compare -21 and 81
  No swap needed
  Compare 81 and 45
  Swap 81 and 45
  List after swap: [-21, 45, 81, 35, -86, 13, 90, 51, 92, 38]
  Compare 81 and 35
  Swap 81 and 35
  List after swap: [-21, 45, 35, 81, -86, 13, 90, 51, 92, 38]
  Compare 81 and -86
  Swap 81 and -86
  List after swap: [-21, 45, 35, -86, 81, 13, 90, 51, 92, 38]
  Compare 81 and 13
  Swap 81 and 13
  List after swap: [-21, 45, 35, -86, 13, 81, 90, 51, 92, 38]
  Compare 81 and 90
  No swap needed
  Compare 90 and 51
  Swap 90 and 51
  List after swap: [-21, 45, 35, -86, 13, 81, 51, 90, 92, 38]
  Compare 90 and 92
  No swap needed
  Compare 92 and 38
  Swap 92 and 38
  List after swap: [-21, 45, 35, -86, 13, 81, 51, 90, 38, 92]

Pass 2:
  Compare -21 and 45
  No swap needed
  Compare 45 and 35
  Swap 45 and 35
  List after swap: [-21, 35, 45, -86, 13, 81, 51, 90, 38, 92]
  Compare 45 and -86
  Swap 45 and -86
  List after swap: [-21, 35, -86, 45, 13, 81, 51, 90, 38, 92]
  Compare 45 and 13
  Swap 45 and 13
  List after swap: [-21, 35, -86, 13, 45, 81, 51, 90, 38, 92]
  Compare 45 and 81
  No swap needed
  Compare 81 and 51
  Swap 81 and 51
  List after swap: [-21, 35, -86, 13, 45, 51, 81, 90, 38, 92]
  Compare 81 and 90
  No swap needed
  Compare 90 and 38
  Swap 90 and 38
  List after swap: [-21, 35, -86, 13, 45, 51, 81, 38, 90, 92]

Pass 3:
  Compare -21 and 35
  No swap needed
  Compare 35 and -86
  Swap 35 and -86
  List after swap: [-21, -86, 35, 13, 45, 51, 81, 38, 90, 92]
  Compare 35 and 13
  Swap 35 and 13
  List after swap: [-21, -86, 13, 35, 45, 51, 81, 38, 90, 92]
  Compare 35 and 45
  No swap needed
  Compare 45 and 51
  No swap needed
  Compare 51 and 81
  No swap needed
  Compare 81 and 38
  Swap 81 and 38
  List after swap: [-21, -86, 13, 35, 45, 51, 38, 81, 90, 92]

Pass 4:
  Compare -21 and -86
  Swap -21 and -86
  List after swap: [-86, -21, 13, 35, 45, 51, 38, 81, 90, 92]
  Compare -21 and 13
  No swap needed
  Compare 13 and 35
  No swap needed
  Compare 35 and 45
  No swap needed
  Compare 45 and 51
  No swap needed
  Compare 51 and 38
  Swap 51 and 38
  List after swap: [-86, -21, 13, 35, 45, 38, 51, 81, 90, 92]

Pass 5:
  Compare -86 and -21
  No swap needed
  Compare -21 and 13
  No swap needed
  Compare 13 and 35
  No swap needed
  Compare 35 and 45
  No swap needed
  Compare 45 and 38
  Swap 45 and 38
  List after swap: [-86, -21, 13, 35, 38, 45, 51, 81, 90, 92]

Pass 6:
  Compare -86 and -21
  No swap needed
  Compare -21 and 13
  No swap needed
  Compare 13 and 35
  No swap needed
  Compare 35 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -21, 13, 35, 38, 45, 51, 81, 90, 92]
</think>

<response>-86, -21, 13, 35, 38, 45, 51, 81, 90, 92</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 99, 2, 10, -35, 51, 83, 97, -69, -66, 53.

output:
<think>
Initial list: [99, 2, 10, -35, 51, 83, 97, -69, -66, 53]

Pass 1:
  Compare 99 and 2
  Swap 99 and 2
  List after swap: [2, 99, 10, -35, 51, 83, 97, -69, -66, 53]
  Compare 99 and 10
  Swap 99 and 10
  List after swap: [2, 10, 99, -35, 51, 83, 97, -69, -66, 53]
  Compare 99 and -35
  Swap 99 and -35
  List after swap: [2, 10, -35, 99, 51, 83, 97, -69, -66, 53]
  Compare 99 and 51
  Swap 99 and 51
  List after swap: [2, 10, -35, 51, 99, 83, 97, -69, -66, 53]
  Compare 99 and 83
  Swap 99 and 83
  List after swap: [2, 10, -35, 51, 83, 99, 97, -69, -66, 53]
  Compare 99 and 97
  Swap 99 and 97
  List after swap: [2, 10, -35, 51, 83, 97, 99, -69, -66, 53]
  Compare 99 and -69
  Swap 99 and -69
  List after swap: [2, 10, -35, 51, 83, 97, -69, 99, -66, 53]
  Compare 99 and -66
  Swap 99 and -66
  List after swap: [2, 10, -35, 51, 83, 97, -69, -66, 99, 53]
  Compare 99 and 53
  Swap 99 and 53
  List after swap: [2, 10, -35, 51, 83, 97, -69, -66, 53, 99]

Pass 2:
  Compare 2 and 10
  No swap needed
  Compare 10 and -35
  Swap 10 and -35
  List after swap: [2, -35, 10, 51, 83, 97, -69, -66, 53, 99]
  Compare 10 and 51
  No swap needed
  Compare 51 and 83
  No swap needed
  Compare 83 and 97
  No swap needed
  Compare 97 and -69
  Swap 97 and -69
  List after swap: [2, -35, 10, 51, 83, -69, 97, -66, 53, 99]
  Compare 97 and -66
  Swap 97 and -66
  List after swap: [2, -35, 10, 51, 83, -69, -66, 97, 53, 99]
  Compare 97 and 53
  Swap 97 and 53
  List after swap: [2, -35, 10, 51, 83, -69, -66, 53, 97, 99]

Pass 3:
  Compare 2 and -35
  Swap 2 and -35
  List after swap: [-35, 2, 10, 51, 83, -69, -66, 53, 97, 99]
  Compare 2 and 10
  No swap needed
  Compare 10 and 51
  No swap needed
  Compare 51 and 83
  No swap needed
  Compare 83 and -69
  Swap 83 and -69
  List after swap: [-35, 2, 10, 51, -69, 83, -66, 53, 97, 99]
  Compare 83 and -66
  Swap 83 and -66
  List after swap: [-35, 2, 10, 51, -69, -66, 83, 53, 97, 99]
  Compare 83 and 53
  Swap 83 and 53
  List after swap: [-35, 2, 10, 51, -69, -66, 53, 83, 97, 99]

Pass 4:
  Compare -35 and 2
  No swap needed
  Compare 2 and 10
  No swap needed
  Compare 10 and 51
  No swap needed
  Compare 51 and -69
  Swap 51 and -69
  List after swap: [-35, 2, 10, -69, 51, -66, 53, 83, 97, 99]
  Compare 51 and -66
  Swap 51 and -66
  List after swap: [-35, 2, 10, -69, -66, 51, 53, 83, 97, 99]
  Compare 51 and 53
  No swap needed

Pass 5:
  Compare -35 and 2
  No swap needed
  Compare 2 and 10
  No swap needed
  Compare 10 and -69
  Swap 10 and -69
  List after swap: [-35, 2, -69, 10, -66, 51, 53, 83, 97, 99]
  Compare 10 and -66
  Swap 10 and -66
  List after swap: [-35, 2, -69, -66, 10, 51, 53, 83, 97, 99]
  Compare 10 and 51
  No swap needed

Pass 6:
  Compare -35 and 2
  No swap needed
  Compare 2 and -69
  Swap 2 and -69
  List after swap: [-35, -69, 2, -66, 10, 51, 53, 83, 97, 99]
  Compare 2 and -66
  Swap 2 and -66
  List after swap: [-35, -69, -66, 2, 10, 51, 53, 83, 97, 99]
  Compare 2 and 10
  No swap needed

Pass 7:
  Compare -35 and -69
  Swap -35 and -69
  List after swap: [-69, -35, -66, 2, 10, 51, 53, 83, 97, 99]
  Compare -35 and -66
  Swap -35 and -66
  List after swap: [-69, -66, -35, 2, 10, 51, 53, 83, 97, 99]
  Compare -35 and 2
  No swap needed

Pass 8:
  Compare -69 and -66
  No swap needed
  Compare -66 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -66, -35, 2, 10, 51, 53, 83, 97, 99]
</think>

<response>-69, -66, -35, 2, 10, 51, 53, 83, 97, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -96, -70, -24, 42, 29.

output:
<think>
Initial list: [-96, -70, -24, 42, 29]

Pass 1:
  Compare -96 and -70
  No swap needed
  Compare -70 and -24
  No swap needed
  Compare -24 and 42
  No swap needed
  Compare 42 and 29
  Swap 42 and 29
  List after swap: [-96, -70, -24, 29, 42]

Pass 2:
  Compare -96 and -70
  No swap needed
  Compare -70 and -24
  No swap needed
  Compare -24 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -70, -24, 29, 42]
</think>

<response>-96, -70, -24, 29, 42</response>


input: Carry out the bubble sort algorithm on 26, -14, -76, 43 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [26, -14, -76, 43]

Pass 1:
  Compare 26 and -14
  Swap 26 and -14
  List after swap: [-14, 26, -76, 43]
  Compare 26 and -76
  Swap 26 and -76
  List after swap: [-14, -76, 26, 43]
  Compare 26 and 43
  No swap needed

Pass 2:
  Compare -14 and -76
  Swap -14 and -76
  List after swap: [-76, -14, 26, 43]
  Compare -14 and 26
  No swap needed

Pass 3:
  Compare -76 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -14, 26, 43]
</think>

<response>-76, -14, 26, 43</response>


input: Using the bubble sort method, sort -16, 81, 14, 75, 11, -67, 1, -55, -98 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-16, 81, 14, 75, 11, -67, 1, -55, -98]

Pass 1:
  Compare -16 and 81
  No swap needed
  Compare 81 and 14
  Swap 81 and 14
  List after swap: [-16, 14, 81, 75, 11, -67, 1, -55, -98]
  Compare 81 and 75
  Swap 81 and 75
  List after swap: [-16, 14, 75, 81, 11, -67, 1, -55, -98]
  Compare 81 and 11
  Swap 81 and 11
  List after swap: [-16, 14, 75, 11, 81, -67, 1, -55, -98]
  Compare 81 and -67
  Swap 81 and -67
  List after swap: [-16, 14, 75, 11, -67, 81, 1, -55, -98]
  Compare 81 and 1
  Swap 81 and 1
  List after swap: [-16, 14, 75, 11, -67, 1, 81, -55, -98]
  Compare 81 and -55
  Swap 81 and -55
  List after swap: [-16, 14, 75, 11, -67, 1, -55, 81, -98]
  Compare 81 and -98
  Swap 81 and -98
  List after swap: [-16, 14, 75, 11, -67, 1, -55, -98, 81]

Pass 2:
  Compare -16 and 14
  No swap needed
  Compare 14 and 75
  No swap needed
  Compare 75 and 11
  Swap 75 and 11
  List after swap: [-16, 14, 11, 75, -67, 1, -55, -98, 81]
  Compare 75 and -67
  Swap 75 and -67
  List after swap: [-16, 14, 11, -67, 75, 1, -55, -98, 81]
  Compare 75 and 1
  Swap 75 and 1
  List after swap: [-16, 14, 11, -67, 1, 75, -55, -98, 81]
  Compare 75 and -55
  Swap 75 and -55
  List after swap: [-16, 14, 11, -67, 1, -55, 75, -98, 81]
  Compare 75 and -98
  Swap 75 and -98
  List after swap: [-16, 14, 11, -67, 1, -55, -98, 75, 81]

Pass 3:
  Compare -16 and 14
  No swap needed
  Compare 14 and 11
  Swap 14 and 11
  List after swap: [-16, 11, 14, -67, 1, -55, -98, 75, 81]
  Compare 14 and -67
  Swap 14 and -67
  List after swap: [-16, 11, -67, 14, 1, -55, -98, 75, 81]
  Compare 14 and 1
  Swap 14 and 1
  List after swap: [-16, 11, -67, 1, 14, -55, -98, 75, 81]
  Compare 14 and -55
  Swap 14 and -55
  List after swap: [-16, 11, -67, 1, -55, 14, -98, 75, 81]
  Compare 14 and -98
  Swap 14 and -98
  List after swap: [-16, 11, -67, 1, -55, -98, 14, 75, 81]

Pass 4:
  Compare -16 and 11
  No swap needed
  Compare 11 and -67
  Swap 11 and -67
  List after swap: [-16, -67, 11, 1, -55, -98, 14, 75, 81]
  Compare 11 and 1
  Swap 11 and 1
  List after swap: [-16, -67, 1, 11, -55, -98, 14, 75, 81]
  Compare 11 and -55
  Swap 11 and -55
  List after swap: [-16, -67, 1, -55, 11, -98, 14, 75, 81]
  Compare 11 and -98
  Swap 11 and -98
  List after swap: [-16, -67, 1, -55, -98, 11, 14, 75, 81]

Pass 5:
  Compare -16 and -67
  Swap -16 and -67
  List after swap: [-67, -16, 1, -55, -98, 11, 14, 75, 81]
  Compare -16 and 1
  No swap needed
  Compare 1 and -55
  Swap 1 and -55
  List after swap: [-67, -16, -55, 1, -98, 11, 14, 75, 81]
  Compare 1 and -98
  Swap 1 and -98
  List after swap: [-67, -16, -55, -98, 1, 11, 14, 75, 81]

Pass 6:
  Compare -67 and -16
  No swap needed
  Compare -16 and -55
  Swap -16 and -55
  List after swap: [-67, -55, -16, -98, 1, 11, 14, 75, 81]
  Compare -16 and -98
  Swap -16 and -98
  List after swap: [-67, -55, -98, -16, 1, 11, 14, 75, 81]

Pass 7:
  Compare -67 and -55
  No swap needed
  Compare -55 and -98
  Swap -55 and -98
  List after swap: [-67, -98, -55, -16, 1, 11, 14, 75, 81]

Pass 8:
  Compare -67 and -98
  Swap -67 and -98
  List after swap: [-98, -67, -55, -16, 1, 11, 14, 75, 81]

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

Final sorted list: [-98, -67, -55, -16, 1, 11, 14, 75, 81]
</think>

<response>-98, -67, -55, -16, 1, 11, 14, 75, 81</response>


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

output:
<think>
Initial list: [-72, 70]

Pass 1:
  Compare -72 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, 70]
</think>

<response>-72, 70</response>


input: Arrange the numbers -18, -77, 2, 48, 47, -69, 22, -54, 73, -40 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-18, -77, 2, 48, 47, -69, 22, -54, 73, -40]

Pass 1:
  Compare -18 and -77
  Swap -18 and -77
  List after swap: [-77, -18, 2, 48, 47, -69, 22, -54, 73, -40]
  Compare -18 and 2
  No swap needed
  Compare 2 and 48
  No swap needed
  Compare 48 and 47
  Swap 48 and 47
  List after swap: [-77, -18, 2, 47, 48, -69, 22, -54, 73, -40]
  Compare 48 and -69
  Swap 48 and -69
  List after swap: [-77, -18, 2, 47, -69, 48, 22, -54, 73, -40]
  Compare 48 and 22
  Swap 48 and 22
  List after swap: [-77, -18, 2, 47, -69, 22, 48, -54, 73, -40]
  Compare 48 and -54
  Swap 48 and -54
  List after swap: [-77, -18, 2, 47, -69, 22, -54, 48, 73, -40]
  Compare 48 and 73
  No swap needed
  Compare 73 and -40
  Swap 73 and -40
  List after swap: [-77, -18, 2, 47, -69, 22, -54, 48, -40, 73]

Pass 2:
  Compare -77 and -18
  No swap needed
  Compare -18 and 2
  No swap needed
  Compare 2 and 47
  No swap needed
  Compare 47 and -69
  Swap 47 and -69
  List after swap: [-77, -18, 2, -69, 47, 22, -54, 48, -40, 73]
  Compare 47 and 22
  Swap 47 and 22
  List after swap: [-77, -18, 2, -69, 22, 47, -54, 48, -40, 73]
  Compare 47 and -54
  Swap 47 and -54
  List after swap: [-77, -18, 2, -69, 22, -54, 47, 48, -40, 73]
  Compare 47 and 48
  No swap needed
  Compare 48 and -40
  Swap 48 and -40
  List after swap: [-77, -18, 2, -69, 22, -54, 47, -40, 48, 73]

Pass 3:
  Compare -77 and -18
  No swap needed
  Compare -18 and 2
  No swap needed
  Compare 2 and -69
  Swap 2 and -69
  List after swap: [-77, -18, -69, 2, 22, -54, 47, -40, 48, 73]
  Compare 2 and 22
  No swap needed
  Compare 22 and -54
  Swap 22 and -54
  List after swap: [-77, -18, -69, 2, -54, 22, 47, -40, 48, 73]
  Compare 22 and 47
  No swap needed
  Compare 47 and -40
  Swap 47 and -40
  List after swap: [-77, -18, -69, 2, -54, 22, -40, 47, 48, 73]

Pass 4:
  Compare -77 and -18
  No swap needed
  Compare -18 and -69
  Swap -18 and -69
  List after swap: [-77, -69, -18, 2, -54, 22, -40, 47, 48, 73]
  Compare -18 and 2
  No swap needed
  Compare 2 and -54
  Swap 2 and -54
  List after swap: [-77, -69, -18, -54, 2, 22, -40, 47, 48, 73]
  Compare 2 and 22
  No swap needed
  Compare 22 and -40
  Swap 22 and -40
  List after swap: [-77, -69, -18, -54, 2, -40, 22, 47, 48, 73]

Pass 5:
  Compare -77 and -69
  No swap needed
  Compare -69 and -18
  No swap needed
  Compare -18 and -54
  Swap -18 and -54
  List after swap: [-77, -69, -54, -18, 2, -40, 22, 47, 48, 73]
  Compare -18 and 2
  No swap needed
  Compare 2 and -40
  Swap 2 and -40
  List after swap: [-77, -69, -54, -18, -40, 2, 22, 47, 48, 73]

Pass 6:
  Compare -77 and -69
  No swap needed
  Compare -69 and -54
  No swap needed
  Compare -54 and -18
  No swap needed
  Compare -18 and -40
  Swap -18 and -40
  List after swap: [-77, -69, -54, -40, -18, 2, 22, 47, 48, 73]

Pass 7:
  Compare -77 and -69
  No swap needed
  Compare -69 and -54
  No swap needed
  Compare -54 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -69, -54, -40, -18, 2, 22, 47, 48, 73]
</think>

<response>-77, -69, -54, -40, -18, 2, 22, 47, 48, 73</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 80, 90.

output:
<think>
Initial list: [80, 90]

Pass 1:
  Compare 80 and 90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [80, 90]
</think>

<response>80, 90</response>


input: Carry out the bubble sort algorithm on -76, 76, 89, -77, 3, -74, -66, -28, -18 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-76, 76, 89, -77, 3, -74, -66, -28, -18]

Pass 1:
  Compare -76 and 76
  No swap needed
  Compare 76 and 89
  No swap needed
  Compare 89 and -77
  Swap 89 and -77
  List after swap: [-76, 76, -77, 89, 3, -74, -66, -28, -18]
  Compare 89 and 3
  Swap 89 and 3
  List after swap: [-76, 76, -77, 3, 89, -74, -66, -28, -18]
  Compare 89 and -74
  Swap 89 and -74
  List after swap: [-76, 76, -77, 3, -74, 89, -66, -28, -18]
  Compare 89 and -66
  Swap 89 and -66
  List after swap: [-76, 76, -77, 3, -74, -66, 89, -28, -18]
  Compare 89 and -28
  Swap 89 and -28
  List after swap: [-76, 76, -77, 3, -74, -66, -28, 89, -18]
  Compare 89 and -18
  Swap 89 and -18
  List after swap: [-76, 76, -77, 3, -74, -66, -28, -18, 89]

Pass 2:
  Compare -76 and 76
  No swap needed
  Compare 76 and -77
  Swap 76 and -77
  List after swap: [-76, -77, 76, 3, -74, -66, -28, -18, 89]
  Compare 76 and 3
  Swap 76 and 3
  List after swap: [-76, -77, 3, 76, -74, -66, -28, -18, 89]
  Compare 76 and -74
  Swap 76 and -74
  List after swap: [-76, -77, 3, -74, 76, -66, -28, -18, 89]
  Compare 76 and -66
  Swap 76 and -66
  List after swap: [-76, -77, 3, -74, -66, 76, -28, -18, 89]
  Compare 76 and -28
  Swap 76 and -28
  List after swap: [-76, -77, 3, -74, -66, -28, 76, -18, 89]
  Compare 76 and -18
  Swap 76 and -18
  List after swap: [-76, -77, 3, -74, -66, -28, -18, 76, 89]

Pass 3:
  Compare -76 and -77
  Swap -76 and -77
  List after swap: [-77, -76, 3, -74, -66, -28, -18, 76, 89]
  Compare -76 and 3
  No swap needed
  Compare 3 and -74
  Swap 3 and -74
  List after swap: [-77, -76, -74, 3, -66, -28, -18, 76, 89]
  Compare 3 and -66
  Swap 3 and -66
  List after swap: [-77, -76, -74, -66, 3, -28, -18, 76, 89]
  Compare 3 and -28
  Swap 3 and -28
  List after swap: [-77, -76, -74, -66, -28, 3, -18, 76, 89]
  Compare 3 and -18
  Swap 3 and -18
  List after swap: [-77, -76, -74, -66, -28, -18, 3, 76, 89]

Pass 4:
  Compare -77 and -76
  No swap needed
  Compare -76 and -74
  No swap needed
  Compare -74 and -66
  No swap needed
  Compare -66 and -28
  No swap needed
  Compare -28 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -76, -74, -66, -28, -18, 3, 76, 89]
</think>

<response>-77, -76, -74, -66, -28, -18, 3, 76, 89</response>


input: Implement bubble sort on 99, 19, 25, -59, 59, -54, -38, -74, 70 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [99, 19, 25, -59, 59, -54, -38, -74, 70]

Pass 1:
  Compare 99 and 19
  Swap 99 and 19
  List after swap: [19, 99, 25, -59, 59, -54, -38, -74, 70]
  Compare 99 and 25
  Swap 99 and 25
  List after swap: [19, 25, 99, -59, 59, -54, -38, -74, 70]
  Compare 99 and -59
  Swap 99 and -59
  List after swap: [19, 25, -59, 99, 59, -54, -38, -74, 70]
  Compare 99 and 59
  Swap 99 and 59
  List after swap: [19, 25, -59, 59, 99, -54, -38, -74, 70]
  Compare 99 and -54
  Swap 99 and -54
  List after swap: [19, 25, -59, 59, -54, 99, -38, -74, 70]
  Compare 99 and -38
  Swap 99 and -38
  List after swap: [19, 25, -59, 59, -54, -38, 99, -74, 70]
  Compare 99 and -74
  Swap 99 and -74
  List after swap: [19, 25, -59, 59, -54, -38, -74, 99, 70]
  Compare 99 and 70
  Swap 99 and 70
  List after swap: [19, 25, -59, 59, -54, -38, -74, 70, 99]

Pass 2:
  Compare 19 and 25
  No swap needed
  Compare 25 and -59
  Swap 25 and -59
  List after swap: [19, -59, 25, 59, -54, -38, -74, 70, 99]
  Compare 25 and 59
  No swap needed
  Compare 59 and -54
  Swap 59 and -54
  List after swap: [19, -59, 25, -54, 59, -38, -74, 70, 99]
  Compare 59 and -38
  Swap 59 and -38
  List after swap: [19, -59, 25, -54, -38, 59, -74, 70, 99]
  Compare 59 and -74
  Swap 59 and -74
  List after swap: [19, -59, 25, -54, -38, -74, 59, 70, 99]
  Compare 59 and 70
  No swap needed

Pass 3:
  Compare 19 and -59
  Swap 19 and -59
  List after swap: [-59, 19, 25, -54, -38, -74, 59, 70, 99]
  Compare 19 and 25
  No swap needed
  Compare 25 and -54
  Swap 25 and -54
  List after swap: [-59, 19, -54, 25, -38, -74, 59, 70, 99]
  Compare 25 and -38
  Swap 25 and -38
  List after swap: [-59, 19, -54, -38, 25, -74, 59, 70, 99]
  Compare 25 and -74
  Swap 25 and -74
  List after swap: [-59, 19, -54, -38, -74, 25, 59, 70, 99]
  Compare 25 and 59
  No swap needed

Pass 4:
  Compare -59 and 19
  No swap needed
  Compare 19 and -54
  Swap 19 and -54
  List after swap: [-59, -54, 19, -38, -74, 25, 59, 70, 99]
  Compare 19 and -38
  Swap 19 and -38
  List after swap: [-59, -54, -38, 19, -74, 25, 59, 70, 99]
  Compare 19 and -74
  Swap 19 and -74
  List after swap: [-59, -54, -38, -74, 19, 25, 59, 70, 99]
  Compare 19 and 25
  No swap needed

Pass 5:
  Compare -59 and -54
  No swap needed
  Compare -54 and -38
  No swap needed
  Compare -38 and -74
  Swap -38 and -74
  List after swap: [-59, -54, -74, -38, 19, 25, 59, 70, 99]
  Compare -38 and 19
  No swap needed

Pass 6:
  Compare -59 and -54
  No swap needed
  Compare -54 and -74
  Swap -54 and -74
  List after swap: [-59, -74, -54, -38, 19, 25, 59, 70, 99]
  Compare -54 and -38
  No swap needed

Pass 7:
  Compare -59 and -74
  Swap -59 and -74
  List after swap: [-74, -59, -54, -38, 19, 25, 59, 70, 99]
  Compare -59 and -54
  No swap needed

Pass 8:
  Compare -74 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -59, -54, -38, 19, 25, 59, 70, 99]
</think>

<response>-74, -59, -54, -38, 19, 25, 59, 70, 99</response>


input: Demonstrate how bubble sort orders the integers 91, 84, 81, -4, -91, -5, -95, 0, 12, -65 in ascending sequence, showing all steps.

output:
<think>
Initial list: [91, 84, 81, -4, -91, -5, -95, 0, 12, -65]

Pass 1:
  Compare 91 and 84
  Swap 91 and 84
  List after swap: [84, 91, 81, -4, -91, -5, -95, 0, 12, -65]
  Compare 91 and 81
  Swap 91 and 81
  List after swap: [84, 81, 91, -4, -91, -5, -95, 0, 12, -65]
  Compare 91 and -4
  Swap 91 and -4
  List after swap: [84, 81, -4, 91, -91, -5, -95, 0, 12, -65]
  Compare 91 and -91
  Swap 91 and -91
  List after swap: [84, 81, -4, -91, 91, -5, -95, 0, 12, -65]
  Compare 91 and -5
  Swap 91 and -5
  List after swap: [84, 81, -4, -91, -5, 91, -95, 0, 12, -65]
  Compare 91 and -95
  Swap 91 and -95
  List after swap: [84, 81, -4, -91, -5, -95, 91, 0, 12, -65]
  Compare 91 and 0
  Swap 91 and 0
  List after swap: [84, 81, -4, -91, -5, -95, 0, 91, 12, -65]
  Compare 91 and 12
  Swap 91 and 12
  List after swap: [84, 81, -4, -91, -5, -95, 0, 12, 91, -65]
  Compare 91 and -65
  Swap 91 and -65
  List after swap: [84, 81, -4, -91, -5, -95, 0, 12, -65, 91]

Pass 2:
  Compare 84 and 81
  Swap 84 and 81
  List after swap: [81, 84, -4, -91, -5, -95, 0, 12, -65, 91]
  Compare 84 and -4
  Swap 84 and -4
  List after swap: [81, -4, 84, -91, -5, -95, 0, 12, -65, 91]
  Compare 84 and -91
  Swap 84 and -91
  List after swap: [81, -4, -91, 84, -5, -95, 0, 12, -65, 91]
  Compare 84 and -5
  Swap 84 and -5
  List after swap: [81, -4, -91, -5, 84, -95, 0, 12, -65, 91]
  Compare 84 and -95
  Swap 84 and -95
  List after swap: [81, -4, -91, -5, -95, 84, 0, 12, -65, 91]
  Compare 84 and 0
  Swap 84 and 0
  List after swap: [81, -4, -91, -5, -95, 0, 84, 12, -65, 91]
  Compare 84 and 12
  Swap 84 and 12
  List after swap: [81, -4, -91, -5, -95, 0, 12, 84, -65, 91]
  Compare 84 and -65
  Swap 84 and -65
  List after swap: [81, -4, -91, -5, -95, 0, 12, -65, 84, 91]

Pass 3:
  Compare 81 and -4
  Swap 81 and -4
  List after swap: [-4, 81, -91, -5, -95, 0, 12, -65, 84, 91]
  Compare 81 and -91
  Swap 81 and -91
  List after swap: [-4, -91, 81, -5, -95, 0, 12, -65, 84, 91]
  Compare 81 and -5
  Swap 81 and -5
  List after swap: [-4, -91, -5, 81, -95, 0, 12, -65, 84, 91]
  Compare 81 and -95
  Swap 81 and -95
  List after swap: [-4, -91, -5, -95, 81, 0, 12, -65, 84, 91]
  Compare 81 and 0
  Swap 81 and 0
  List after swap: [-4, -91, -5, -95, 0, 81, 12, -65, 84, 91]
  Compare 81 and 12
  Swap 81 and 12
  List after swap: [-4, -91, -5, -95, 0, 12, 81, -65, 84, 91]
  Compare 81 and -65
  Swap 81 and -65
  List after swap: [-4, -91, -5, -95, 0, 12, -65, 81, 84, 91]

Pass 4:
  Compare -4 and -91
  Swap -4 and -91
  List after swap: [-91, -4, -5, -95, 0, 12, -65, 81, 84, 91]
  Compare -4 and -5
  Swap -4 and -5
  List after swap: [-91, -5, -4, -95, 0, 12, -65, 81, 84, 91]
  Compare -4 and -95
  Swap -4 and -95
  List after swap: [-91, -5, -95, -4, 0, 12, -65, 81, 84, 91]
  Compare -4 and 0
  No swap needed
  Compare 0 and 12
  No swap needed
  Compare 12 and -65
  Swap 12 and -65
  List after swap: [-91, -5, -95, -4, 0, -65, 12, 81, 84, 91]

Pass 5:
  Compare -91 and -5
  No swap needed
  Compare -5 and -95
  Swap -5 and -95
  List after swap: [-91, -95, -5, -4, 0, -65, 12, 81, 84, 91]
  Compare -5 and -4
  No swap needed
  Compare -4 and 0
  No swap needed
  Compare 0 and -65
  Swap 0 and -65
  List after swap: [-91, -95, -5, -4, -65, 0, 12, 81, 84, 91]

Pass 6:
  Compare -91 and -95
  Swap -91 and -95
  List after swap: [-95, -91, -5, -4, -65, 0, 12, 81, 84, 91]
  Compare -91 and -5
  No swap needed
  Compare -5 and -4
  No swap needed
  Compare -4 and -65
  Swap -4 and -65
  List after swap: [-95, -91, -5, -65, -4, 0, 12, 81, 84, 91]

Pass 7:
  Compare -95 and -91
  No swap needed
  Compare -91 and -5
  No swap needed
  Compare -5 and -65
  Swap -5 and -65
  List after swap: [-95, -91, -65, -5, -4, 0, 12, 81, 84, 91]

Pass 8:
  Compare -95 and -91
  No swap needed
  Compare -91 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -91, -65, -5, -4, 0, 12, 81, 84, 91]
</think>

<response>-95, -91, -65, -5, -4, 0, 12, 81, 84, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 78, -40, 87, 91, 28, 70, 48.

output:
<think>
Initial list: [78, -40, 87, 91, 28, 70, 48]

Pass 1:
  Compare 78 and -40
  Swap 78 and -40
  List after swap: [-40, 78, 87, 91, 28, 70, 48]
  Compare 78 and 87
  No swap needed
  Compare 87 and 91
  No swap needed
  Compare 91 and 28
  Swap 91 and 28
  List after swap: [-40, 78, 87, 28, 91, 70, 48]
  Compare 91 and 70
  Swap 91 and 70
  List after swap: [-40, 78, 87, 28, 70, 91, 48]
  Compare 91 and 48
  Swap 91 and 48
  List after swap: [-40, 78, 87, 28, 70, 48, 91]

Pass 2:
  Compare -40 and 78
  No swap needed
  Compare 78 and 87
  No swap needed
  Compare 87 and 28
  Swap 87 and 28
  List after swap: [-40, 78, 28, 87, 70, 48, 91]
  Compare 87 and 70
  Swap 87 and 70
  List after swap: [-40, 78, 28, 70, 87, 48, 91]
  Compare 87 and 48
  Swap 87 and 48
  List after swap: [-40, 78, 28, 70, 48, 87, 91]

Pass 3:
  Compare -40 and 78
  No swap needed
  Compare 78 and 28
  Swap 78 and 28
  List after swap: [-40, 28, 78, 70, 48, 87, 91]
  Compare 78 and 70
  Swap 78 and 70
  List after swap: [-40, 28, 70, 78, 48, 87, 91]
  Compare 78 and 48
  Swap 78 and 48
  List after swap: [-40, 28, 70, 48, 78, 87, 91]

Pass 4:
  Compare -40 and 28
  No swap needed
  Compare 28 and 70
  No swap needed
  Compare 70 and 48
  Swap 70 and 48
  List after swap: [-40, 28, 48, 70, 78, 87, 91]

Pass 5:
  Compare -40 and 28
  No swap needed
  Compare 28 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, 28, 48, 70, 78, 87, 91]
</think>

<response>-40, 28, 48, 70, 78, 87, 91</response>


input: Sort these integers 75, -49, 92, 47, 13, 73, 93, -72 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [75, -49, 92, 47, 13, 73, 93, -72]

Pass 1:
  Compare 75 and -49
  Swap 75 and -49
  List after swap: [-49, 75, 92, 47, 13, 73, 93, -72]
  Compare 75 and 92
  No swap needed
  Compare 92 and 47
  Swap 92 and 47
  List after swap: [-49, 75, 47, 92, 13, 73, 93, -72]
  Compare 92 and 13
  Swap 92 and 13
  List after swap: [-49, 75, 47, 13, 92, 73, 93, -72]
  Compare 92 and 73
  Swap 92 and 73
  List after swap: [-49, 75, 47, 13, 73, 92, 93, -72]
  Compare 92 and 93
  No swap needed
  Compare 93 and -72
  Swap 93 and -72
  List after swap: [-49, 75, 47, 13, 73, 92, -72, 93]

Pass 2:
  Compare -49 and 75
  No swap needed
  Compare 75 and 47
  Swap 75 and 47
  List after swap: [-49, 47, 75, 13, 73, 92, -72, 93]
  Compare 75 and 13
  Swap 75 and 13
  List after swap: [-49, 47, 13, 75, 73, 92, -72, 93]
  Compare 75 and 73
  Swap 75 and 73
  List after swap: [-49, 47, 13, 73, 75, 92, -72, 93]
  Compare 75 and 92
  No swap needed
  Compare 92 and -72
  Swap 92 and -72
  List after swap: [-49, 47, 13, 73, 75, -72, 92, 93]

Pass 3:
  Compare -49 and 47
  No swap needed
  Compare 47 and 13
  Swap 47 and 13
  List after swap: [-49, 13, 47, 73, 75, -72, 92, 93]
  Compare 47 and 73
  No swap needed
  Compare 73 and 75
  No swap needed
  Compare 75 and -72
  Swap 75 and -72
  List after swap: [-49, 13, 47, 73, -72, 75, 92, 93]

Pass 4:
  Compare -49 and 13
  No swap needed
  Compare 13 and 47
  No swap needed
  Compare 47 and 73
  No swap needed
  Compare 73 and -72
  Swap 73 and -72
  List after swap: [-49, 13, 47, -72, 73, 75, 92, 93]

Pass 5:
  Compare -49 and 13
  No swap needed
  Compare 13 and 47
  No swap needed
  Compare 47 and -72
  Swap 47 and -72
  List after swap: [-49, 13, -72, 47, 73, 75, 92, 93]

Pass 6:
  Compare -49 and 13
  No swap needed
  Compare 13 and -72
  Swap 13 and -72
  List after swap: [-49, -72, 13, 47, 73, 75, 92, 93]

Pass 7:
  Compare -49 and -72
  Swap -49 and -72
  List after swap: [-72, -49, 13, 47, 73, 75, 92, 93]

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

Final sorted list: [-72, -49, 13, 47, 73, 75, 92, 93]
</think>

<response>-72, -49, 13, 47, 73, 75, 92, 93</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -36, -94, -17, -97, 52, 42, -96, -30, 4.

output:
<think>
Initial list: [-36, -94, -17, -97, 52, 42, -96, -30, 4]

Pass 1:
  Compare -36 and -94
  Swap -36 and -94
  List after swap: [-94, -36, -17, -97, 52, 42, -96, -30, 4]
  Compare -36 and -17
  No swap needed
  Compare -17 and -97
  Swap -17 and -97
  List after swap: [-94, -36, -97, -17, 52, 42, -96, -30, 4]
  Compare -17 and 52
  No swap needed
  Compare 52 and 42
  Swap 52 and 42
  List after swap: [-94, -36, -97, -17, 42, 52, -96, -30, 4]
  Compare 52 and -96
  Swap 52 and -96
  List after swap: [-94, -36, -97, -17, 42, -96, 52, -30, 4]
  Compare 52 and -30
  Swap 52 and -30
  List after swap: [-94, -36, -97, -17, 42, -96, -30, 52, 4]
  Compare 52 and 4
  Swap 52 and 4
  List after swap: [-94, -36, -97, -17, 42, -96, -30, 4, 52]

Pass 2:
  Compare -94 and -36
  No swap needed
  Compare -36 and -97
  Swap -36 and -97
  List after swap: [-94, -97, -36, -17, 42, -96, -30, 4, 52]
  Compare -36 and -17
  No swap needed
  Compare -17 and 42
  No swap needed
  Compare 42 and -96
  Swap 42 and -96
  List after swap: [-94, -97, -36, -17, -96, 42, -30, 4, 52]
  Compare 42 and -30
  Swap 42 and -30
  List after swap: [-94, -97, -36, -17, -96, -30, 42, 4, 52]
  Compare 42 and 4
  Swap 42 and 4
  List after swap: [-94, -97, -36, -17, -96, -30, 4, 42, 52]

Pass 3:
  Compare -94 and -97
  Swap -94 and -97
  List after swap: [-97, -94, -36, -17, -96, -30, 4, 42, 52]
  Compare -94 and -36
  No swap needed
  Compare -36 and -17
  No swap needed
  Compare -17 and -96
  Swap -17 and -96
  List after swap: [-97, -94, -36, -96, -17, -30, 4, 42, 52]
  Compare -17 and -30
  Swap -17 and -30
  List after swap: [-97, -94, -36, -96, -30, -17, 4, 42, 52]
  Compare -17 and 4
  No swap needed

Pass 4:
  Compare -97 and -94
  No swap needed
  Compare -94 and -36
  No swap needed
  Compare -36 and -96
  Swap -36 and -96
  List after swap: [-97, -94, -96, -36, -30, -17, 4, 42, 52]
  Compare -36 and -30
  No swap needed
  Compare -30 and -17
  No swap needed

Pass 5:
  Compare -97 and -94
  No swap needed
  Compare -94 and -96
  Swap -94 and -96
  List after swap: [-97, -96, -94, -36, -30, -17, 4, 42, 52]
  Compare -94 and -36
  No swap needed
  Compare -36 and -30
  No swap needed

Pass 6:
  Compare -97 and -96
  No swap needed
  Compare -96 and -94
  No swap needed
  Compare -94 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -96, -94, -36, -30, -17, 4, 42, 52]
</think>

<response>-97, -96, -94, -36, -30, -17, 4, 42, 52</response>


input: Demonstrate how bubble sort orders the integers 0, -96, -48, -87, 25, -55, 23, 35, 26 in ascending sequence, showing all steps.

output:
<think>
Initial list: [0, -96, -48, -87, 25, -55, 23, 35, 26]

Pass 1:
  Compare 0 and -96
  Swap 0 and -96
  List after swap: [-96, 0, -48, -87, 25, -55, 23, 35, 26]
  Compare 0 and -48
  Swap 0 and -48
  List after swap: [-96, -48, 0, -87, 25, -55, 23, 35, 26]
  Compare 0 and -87
  Swap 0 and -87
  List after swap: [-96, -48, -87, 0, 25, -55, 23, 35, 26]
  Compare 0 and 25
  No swap needed
  Compare 25 and -55
  Swap 25 and -55
  List after swap: [-96, -48, -87, 0, -55, 25, 23, 35, 26]
  Compare 25 and 23
  Swap 25 and 23
  List after swap: [-96, -48, -87, 0, -55, 23, 25, 35, 26]
  Compare 25 and 35
  No swap needed
  Compare 35 and 26
  Swap 35 and 26
  List after swap: [-96, -48, -87, 0, -55, 23, 25, 26, 35]

Pass 2:
  Compare -96 and -48
  No swap needed
  Compare -48 and -87
  Swap -48 and -87
  List after swap: [-96, -87, -48, 0, -55, 23, 25, 26, 35]
  Compare -48 and 0
  No swap needed
  Compare 0 and -55
  Swap 0 and -55
  List after swap: [-96, -87, -48, -55, 0, 23, 25, 26, 35]
  Compare 0 and 23
  No swap needed
  Compare 23 and 25
  No swap needed
  Compare 25 and 26
  No swap needed

Pass 3:
  Compare -96 and -87
  No swap needed
  Compare -87 and -48
  No swap needed
  Compare -48 and -55
  Swap -48 and -55
  List after swap: [-96, -87, -55, -48, 0, 23, 25, 26, 35]
  Compare -48 and 0
  No swap needed
  Compare 0 and 23
  No swap needed
  Compare 23 and 25
  No swap needed

Pass 4:
  Compare -96 and -87
  No swap needed
  Compare -87 and -55
  No swap needed
  Compare -55 and -48
  No swap needed
  Compare -48 and 0
  No swap needed
  Compare 0 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -87, -55, -48, 0, 23, 25, 26, 35]
</think>

<response>-96, -87, -55, -48, 0, 23, 25, 26, 35</response>


input: Arrange the numbers 22, -39 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [22, -39]

Pass 1:
  Compare 22 and -39
  Swap 22 and -39
  List after swap: [-39, 22]

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

Final sorted list: [-39, 22]
</think>

<response>-39, 22</response>


input: Sort these integers -40, 73, 23, 58 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-40, 73, 23, 58]

Pass 1:
  Compare -40 and 73
  No swap needed
  Compare 73 and 23
  Swap 73 and 23
  List after swap: [-40, 23, 73, 58]
  Compare 73 and 58
  Swap 73 and 58
  List after swap: [-40, 23, 58, 73]

Pass 2:
  Compare -40 and 23
  No swap needed
  Compare 23 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, 23, 58, 73]
</think>

<response>-40, 23, 58, 73</response>


input: Sort the list 48, -59, -49, 43, 78, -76 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [48, -59, -49, 43, 78, -76]

Pass 1:
  Compare 48 and -59
  Swap 48 and -59
  List after swap: [-59, 48, -49, 43, 78, -76]
  Compare 48 and -49
  Swap 48 and -49
  List after swap: [-59, -49, 48, 43, 78, -76]
  Compare 48 and 43
  Swap 48 and 43
  List after swap: [-59, -49, 43, 48, 78, -76]
  Compare 48 and 78
  No swap needed
  Compare 78 and -76
  Swap 78 and -76
  List after swap: [-59, -49, 43, 48, -76, 78]

Pass 2:
  Compare -59 and -49
  No swap needed
  Compare -49 and 43
  No swap needed
  Compare 43 and 48
  No swap needed
  Compare 48 and -76
  Swap 48 and -76
  List after swap: [-59, -49, 43, -76, 48, 78]

Pass 3:
  Compare -59 and -49
  No swap needed
  Compare -49 and 43
  No swap needed
  Compare 43 and -76
  Swap 43 and -76
  List after swap: [-59, -49, -76, 43, 48, 78]

Pass 4:
  Compare -59 and -49
  No swap needed
  Compare -49 and -76
  Swap -49 and -76
  List after swap: [-59, -76, -49, 43, 48, 78]

Pass 5:
  Compare -59 and -76
  Swap -59 and -76
  List after swap: [-76, -59, -49, 43, 48, 78]

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

Final sorted list: [-76, -59, -49, 43, 48, 78]
</think>

<response>-76, -59, -49, 43, 48, 78</response>


input: Implement bubble sort on -32, 12, 30, -43, 61, -4 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-32, 12, 30, -43, 61, -4]

Pass 1:
  Compare -32 and 12
  No swap needed
  Compare 12 and 30
  No swap needed
  Compare 30 and -43
  Swap 30 and -43
  List after swap: [-32, 12, -43, 30, 61, -4]
  Compare 30 and 61
  No swap needed
  Compare 61 and -4
  Swap 61 and -4
  List after swap: [-32, 12, -43, 30, -4, 61]

Pass 2:
  Compare -32 and 12
  No swap needed
  Compare 12 and -43
  Swap 12 and -43
  List after swap: [-32, -43, 12, 30, -4, 61]
  Compare 12 and 30
  No swap needed
  Compare 30 and -4
  Swap 30 and -4
  List after swap: [-32, -43, 12, -4, 30, 61]

Pass 3:
  Compare -32 and -43
  Swap -32 and -43
  List after swap: [-43, -32, 12, -4, 30, 61]
  Compare -32 and 12
  No swap needed
  Compare 12 and -4
  Swap 12 and -4
  List after swap: [-43, -32, -4, 12, 30, 61]

Pass 4:
  Compare -43 and -32
  No swap needed
  Compare -32 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -32, -4, 12, 30, 61]
</think>

<response>-43, -32, -4, 12, 30, 61</response>


input: Using the bubble sort method, sort 92, 78, 34, -88, 32 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [92, 78, 34, -88, 32]

Pass 1:
  Compare 92 and 78
  Swap 92 and 78
  List after swap: [78, 92, 34, -88, 32]
  Compare 92 and 34
  Swap 92 and 34
  List after swap: [78, 34, 92, -88, 32]
  Compare 92 and -88
  Swap 92 and -88
  List after swap: [78, 34, -88, 92, 32]
  Compare 92 and 32
  Swap 92 and 32
  List after swap: [78, 34, -88, 32, 92]

Pass 2:
  Compare 78 and 34
  Swap 78 and 34
  List after swap: [34, 78, -88, 32, 92]
  Compare 78 and -88
  Swap 78 and -88
  List after swap: [34, -88, 78, 32, 92]
  Compare 78 and 32
  Swap 78 and 32
  List after swap: [34, -88, 32, 78, 92]

Pass 3:
  Compare 34 and -88
  Swap 34 and -88
  List after swap: [-88, 34, 32, 78, 92]
  Compare 34 and 32
  Swap 34 and 32
  List after swap: [-88, 32, 34, 78, 92]

Pass 4:
  Compare -88 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, 32, 34, 78, 92]
</think>

<response>-88, 32, 34, 78, 92</response>


input: Sort the list -5, -27, 77, 81, -31, -18, -9, -34, 17 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-5, -27, 77, 81, -31, -18, -9, -34, 17]

Pass 1:
  Compare -5 and -27
  Swap -5 and -27
  List after swap: [-27, -5, 77, 81, -31, -18, -9, -34, 17]
  Compare -5 and 77
  No swap needed
  Compare 77 and 81
  No swap needed
  Compare 81 and -31
  Swap 81 and -31
  List after swap: [-27, -5, 77, -31, 81, -18, -9, -34, 17]
  Compare 81 and -18
  Swap 81 and -18
  List after swap: [-27, -5, 77, -31, -18, 81, -9, -34, 17]
  Compare 81 and -9
  Swap 81 and -9
  List after swap: [-27, -5, 77, -31, -18, -9, 81, -34, 17]
  Compare 81 and -34
  Swap 81 and -34
  List after swap: [-27, -5, 77, -31, -18, -9, -34, 81, 17]
  Compare 81 and 17
  Swap 81 and 17
  List after swap: [-27, -5, 77, -31, -18, -9, -34, 17, 81]

Pass 2:
  Compare -27 and -5
  No swap needed
  Compare -5 and 77
  No swap needed
  Compare 77 and -31
  Swap 77 and -31
  List after swap: [-27, -5, -31, 77, -18, -9, -34, 17, 81]
  Compare 77 and -18
  Swap 77 and -18
  List after swap: [-27, -5, -31, -18, 77, -9, -34, 17, 81]
  Compare 77 and -9
  Swap 77 and -9
  List after swap: [-27, -5, -31, -18, -9, 77, -34, 17, 81]
  Compare 77 and -34
  Swap 77 and -34
  List after swap: [-27, -5, -31, -18, -9, -34, 77, 17, 81]
  Compare 77 and 17
  Swap 77 and 17
  List after swap: [-27, -5, -31, -18, -9, -34, 17, 77, 81]

Pass 3:
  Compare -27 and -5
  No swap needed
  Compare -5 and -31
  Swap -5 and -31
  List after swap: [-27, -31, -5, -18, -9, -34, 17, 77, 81]
  Compare -5 and -18
  Swap -5 and -18
  List after swap: [-27, -31, -18, -5, -9, -34, 17, 77, 81]
  Compare -5 and -9
  Swap -5 and -9
  List after swap: [-27, -31, -18, -9, -5, -34, 17, 77, 81]
  Compare -5 and -34
  Swap -5 and -34
  List after swap: [-27, -31, -18, -9, -34, -5, 17, 77, 81]
  Compare -5 and 17
  No swap needed

Pass 4:
  Compare -27 and -31
  Swap -27 and -31
  List after swap: [-31, -27, -18, -9, -34, -5, 17, 77, 81]
  Compare -27 and -18
  No swap needed
  Compare -18 and -9
  No swap needed
  Compare -9 and -34
  Swap -9 and -34
  List after swap: [-31, -27, -18, -34, -9, -5, 17, 77, 81]
  Compare -9 and -5
  No swap needed

Pass 5:
  Compare -31 and -27
  No swap needed
  Compare -27 and -18
  No swap needed
  Compare -18 and -34
  Swap -18 and -34
  List after swap: [-31, -27, -34, -18, -9, -5, 17, 77, 81]
  Compare -18 and -9
  No swap needed

Pass 6:
  Compare -31 and -27
  No swap needed
  Compare -27 and -34
  Swap -27 and -34
  List after swap: [-31, -34, -27, -18, -9, -5, 17, 77, 81]
  Compare -27 and -18
  No swap needed

Pass 7:
  Compare -31 and -34
  Swap -31 and -34
  List after swap: [-34, -31, -27, -18, -9, -5, 17, 77, 81]
  Compare -31 and -27
  No swap needed

Pass 8:
  Compare -34 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, -31, -27, -18, -9, -5, 17, 77, 81]
</think>

<response>-34, -31, -27, -18, -9, -5, 17, 77, 81</response>


input: Implement bubble sort on 3, 75, 72, -75, 41, -29, -46, -19, 40 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [3, 75, 72, -75, 41, -29, -46, -19, 40]

Pass 1:
  Compare 3 and 75
  No swap needed
  Compare 75 and 72
  Swap 75 and 72
  List after swap: [3, 72, 75, -75, 41, -29, -46, -19, 40]
  Compare 75 and -75
  Swap 75 and -75
  List after swap: [3, 72, -75, 75, 41, -29, -46, -19, 40]
  Compare 75 and 41
  Swap 75 and 41
  List after swap: [3, 72, -75, 41, 75, -29, -46, -19, 40]
  Compare 75 and -29
  Swap 75 and -29
  List after swap: [3, 72, -75, 41, -29, 75, -46, -19, 40]
  Compare 75 and -46
  Swap 75 and -46
  List after swap: [3, 72, -75, 41, -29, -46, 75, -19, 40]
  Compare 75 and -19
  Swap 75 and -19
  List after swap: [3, 72, -75, 41, -29, -46, -19, 75, 40]
  Compare 75 and 40
  Swap 75 and 40
  List after swap: [3, 72, -75, 41, -29, -46, -19, 40, 75]

Pass 2:
  Compare 3 and 72
  No swap needed
  Compare 72 and -75
  Swap 72 and -75
  List after swap: [3, -75, 72, 41, -29, -46, -19, 40, 75]
  Compare 72 and 41
  Swap 72 and 41
  List after swap: [3, -75, 41, 72, -29, -46, -19, 40, 75]
  Compare 72 and -29
  Swap 72 and -29
  List after swap: [3, -75, 41, -29, 72, -46, -19, 40, 75]
  Compare 72 and -46
  Swap 72 and -46
  List after swap: [3, -75, 41, -29, -46, 72, -19, 40, 75]
  Compare 72 and -19
  Swap 72 and -19
  List after swap: [3, -75, 41, -29, -46, -19, 72, 40, 75]
  Compare 72 and 40
  Swap 72 and 40
  List after swap: [3, -75, 41, -29, -46, -19, 40, 72, 75]

Pass 3:
  Compare 3 and -75
  Swap 3 and -75
  List after swap: [-75, 3, 41, -29, -46, -19, 40, 72, 75]
  Compare 3 and 41
  No swap needed
  Compare 41 and -29
  Swap 41 and -29
  List after swap: [-75, 3, -29, 41, -46, -19, 40, 72, 75]
  Compare 41 and -46
  Swap 41 and -46
  List after swap: [-75, 3, -29, -46, 41, -19, 40, 72, 75]
  Compare 41 and -19
  Swap 41 and -19
  List after swap: [-75, 3, -29, -46, -19, 41, 40, 72, 75]
  Compare 41 and 40
  Swap 41 and 40
  List after swap: [-75, 3, -29, -46, -19, 40, 41, 72, 75]

Pass 4:
  Compare -75 and 3
  No swap needed
  Compare 3 and -29
  Swap 3 and -29
  List after swap: [-75, -29, 3, -46, -19, 40, 41, 72, 75]
  Compare 3 and -46
  Swap 3 and -46
  List after swap: [-75, -29, -46, 3, -19, 40, 41, 72, 75]
  Compare 3 and -19
  Swap 3 and -19
  List after swap: [-75, -29, -46, -19, 3, 40, 41, 72, 75]
  Compare 3 and 40
  No swap needed

Pass 5:
  Compare -75 and -29
  No swap needed
  Compare -29 and -46
  Swap -29 and -46
  List after swap: [-75, -46, -29, -19, 3, 40, 41, 72, 75]
  Compare -29 and -19
  No swap needed
  Compare -19 and 3
  No swap needed

Pass 6:
  Compare -75 and -46
  No swap needed
  Compare -46 and -29
  No swap needed
  Compare -29 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -46, -29, -19, 3, 40, 41, 72, 75]
</think>

<response>-75, -46, -29, -19, 3, 40, 41, 72, 75</response>


input: Execute bubble sort to sort 35, -67 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [35, -67]

Pass 1:
  Compare 35 and -67
  Swap 35 and -67
  List after swap: [-67, 35]

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

Final sorted list: [-67, 35]
</think>

<response>-67, 35</response>


input: Use the bubble sort technique to reorder 97, -13 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [97, -13]

Pass 1:
  Compare 97 and -13
  Swap 97 and -13
  List after swap: [-13, 97]

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

Final sorted list: [-13, 97]
</think>

<response>-13, 97</response>


input: Perform a bubble sort on the integers 63, -46, -24, -70, -3, -44, 36, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [63, -46, -24, -70, -3, -44, 36]

Pass 1:
  Compare 63 and -46
  Swap 63 and -46
  List after swap: [-46, 63, -24, -70, -3, -44, 36]
  Compare 63 and -24
  Swap 63 and -24
  List after swap: [-46, -24, 63, -70, -3, -44, 36]
  Compare 63 and -70
  Swap 63 and -70
  List after swap: [-46, -24, -70, 63, -3, -44, 36]
  Compare 63 and -3
  Swap 63 and -3
  List after swap: [-46, -24, -70, -3, 63, -44, 36]
  Compare 63 and -44
  Swap 63 and -44
  List after swap: [-46, -24, -70, -3, -44, 63, 36]
  Compare 63 and 36
  Swap 63 and 36
  List after swap: [-46, -24, -70, -3, -44, 36, 63]

Pass 2:
  Compare -46 and -24
  No swap needed
  Compare -24 and -70
  Swap -24 and -70
  List after swap: [-46, -70, -24, -3, -44, 36, 63]
  Compare -24 and -3
  No swap needed
  Compare -3 and -44
  Swap -3 and -44
  List after swap: [-46, -70, -24, -44, -3, 36, 63]
  Compare -3 and 36
  No swap needed

Pass 3:
  Compare -46 and -70
  Swap -46 and -70
  List after swap: [-70, -46, -24, -44, -3, 36, 63]
  Compare -46 and -24
  No swap needed
  Compare -24 and -44
  Swap -24 and -44
  List after swap: [-70, -46, -44, -24, -3, 36, 63]
  Compare -24 and -3
  No swap needed

Pass 4:
  Compare -70 and -46
  No swap needed
  Compare -46 and -44
  No swap needed
  Compare -44 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -46, -44, -24, -3, 36, 63]
</think>

<response>-70, -46, -44, -24, -3, 36, 63</response>


input: Perform a bubble sort on the integers 97, 22, -76, -89, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [97, 22, -76, -89]

Pass 1:
  Compare 97 and 22
  Swap 97 and 22
  List after swap: [22, 97, -76, -89]
  Compare 97 and -76
  Swap 97 and -76
  List after swap: [22, -76, 97, -89]
  Compare 97 and -89
  Swap 97 and -89
  List after swap: [22, -76, -89, 97]

Pass 2:
  Compare 22 and -76
  Swap 22 and -76
  List after swap: [-76, 22, -89, 97]
  Compare 22 and -89
  Swap 22 and -89
  List after swap: [-76, -89, 22, 97]

Pass 3:
  Compare -76 and -89
  Swap -76 and -89
  List after swap: [-89, -76, 22, 97]

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

Final sorted list: [-89, -76, 22, 97]
</think>

<response>-89, -76, 22, 97</response>


input: Carry out the bubble sort algorithm on 45, 26, 67, 81, -22 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [45, 26, 67, 81, -22]

Pass 1:
  Compare 45 and 26
  Swap 45 and 26
  List after swap: [26, 45, 67, 81, -22]
  Compare 45 and 67
  No swap needed
  Compare 67 and 81
  No swap needed
  Compare 81 and -22
  Swap 81 and -22
  List after swap: [26, 45, 67, -22, 81]

Pass 2:
  Compare 26 and 45
  No swap needed
  Compare 45 and 67
  No swap needed
  Compare 67 and -22
  Swap 67 and -22
  List after swap: [26, 45, -22, 67, 81]

Pass 3:
  Compare 26 and 45
  No swap needed
  Compare 45 and -22
  Swap 45 and -22
  List after swap: [26, -22, 45, 67, 81]

Pass 4:
  Compare 26 and -22
  Swap 26 and -22
  List after swap: [-22, 26, 45, 67, 81]

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

Final sorted list: [-22, 26, 45, 67, 81]
</think>

<response>-22, 26, 45, 67, 81</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 23, -19, -90, 99, 97, -29.

output:
<think>
Initial list: [23, -19, -90, 99, 97, -29]

Pass 1:
  Compare 23 and -19
  Swap 23 and -19
  List after swap: [-19, 23, -90, 99, 97, -29]
  Compare 23 and -90
  Swap 23 and -90
  List after swap: [-19, -90, 23, 99, 97, -29]
  Compare 23 and 99
  No swap needed
  Compare 99 and 97
  Swap 99 and 97
  List after swap: [-19, -90, 23, 97, 99, -29]
  Compare 99 and -29
  Swap 99 and -29
  List after swap: [-19, -90, 23, 97, -29, 99]

Pass 2:
  Compare -19 and -90
  Swap -19 and -90
  List after swap: [-90, -19, 23, 97, -29, 99]
  Compare -19 and 23
  No swap needed
  Compare 23 and 97
  No swap needed
  Compare 97 and -29
  Swap 97 and -29
  List after swap: [-90, -19, 23, -29, 97, 99]

Pass 3:
  Compare -90 and -19
  No swap needed
  Compare -19 and 23
  No swap needed
  Compare 23 and -29
  Swap 23 and -29
  List after swap: [-90, -19, -29, 23, 97, 99]

Pass 4:
  Compare -90 and -19
  No swap needed
  Compare -19 and -29
  Swap -19 and -29
  List after swap: [-90, -29, -19, 23, 97, 99]

Pass 5:
  Compare -90 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -29, -19, 23, 97, 99]
</think>

<response>-90, -29, -19, 23, 97, 99</response>


input: Arrange the numbers -14, -7, 92, -98, 83, 78, 64 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-14, -7, 92, -98, 83, 78, 64]

Pass 1:
  Compare -14 and -7
  No swap needed
  Compare -7 and 92
  No swap needed
  Compare 92 and -98
  Swap 92 and -98
  List after swap: [-14, -7, -98, 92, 83, 78, 64]
  Compare 92 and 83
  Swap 92 and 83
  List after swap: [-14, -7, -98, 83, 92, 78, 64]
  Compare 92 and 78
  Swap 92 and 78
  List after swap: [-14, -7, -98, 83, 78, 92, 64]
  Compare 92 and 64
  Swap 92 and 64
  List after swap: [-14, -7, -98, 83, 78, 64, 92]

Pass 2:
  Compare -14 and -7
  No swap needed
  Compare -7 and -98
  Swap -7 and -98
  List after swap: [-14, -98, -7, 83, 78, 64, 92]
  Compare -7 and 83
  No swap needed
  Compare 83 and 78
  Swap 83 and 78
  List after swap: [-14, -98, -7, 78, 83, 64, 92]
  Compare 83 and 64
  Swap 83 and 64
  List after swap: [-14, -98, -7, 78, 64, 83, 92]

Pass 3:
  Compare -14 and -98
  Swap -14 and -98
  List after swap: [-98, -14, -7, 78, 64, 83, 92]
  Compare -14 and -7
  No swap needed
  Compare -7 and 78
  No swap needed
  Compare 78 and 64
  Swap 78 and 64
  List after swap: [-98, -14, -7, 64, 78, 83, 92]

Pass 4:
  Compare -98 and -14
  No swap needed
  Compare -14 and -7
  No swap needed
  Compare -7 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -14, -7, 64, 78, 83, 92]
</think>

<response>-98, -14, -7, 64, 78, 83, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -76, 42, 44, 90, -66, 74, 23.

output:
<think>
Initial list: [-76, 42, 44, 90, -66, 74, 23]

Pass 1:
  Compare -76 and 42
  No swap needed
  Compare 42 and 44
  No swap needed
  Compare 44 and 90
  No swap needed
  Compare 90 and -66
  Swap 90 and -66
  List after swap: [-76, 42, 44, -66, 90, 74, 23]
  Compare 90 and 74
  Swap 90 and 74
  List after swap: [-76, 42, 44, -66, 74, 90, 23]
  Compare 90 and 23
  Swap 90 and 23
  List after swap: [-76, 42, 44, -66, 74, 23, 90]

Pass 2:
  Compare -76 and 42
  No swap needed
  Compare 42 and 44
  No swap needed
  Compare 44 and -66
  Swap 44 and -66
  List after swap: [-76, 42, -66, 44, 74, 23, 90]
  Compare 44 and 74
  No swap needed
  Compare 74 and 23
  Swap 74 and 23
  List after swap: [-76, 42, -66, 44, 23, 74, 90]

Pass 3:
  Compare -76 and 42
  No swap needed
  Compare 42 and -66
  Swap 42 and -66
  List after swap: [-76, -66, 42, 44, 23, 74, 90]
  Compare 42 and 44
  No swap needed
  Compare 44 and 23
  Swap 44 and 23
  List after swap: [-76, -66, 42, 23, 44, 74, 90]

Pass 4:
  Compare -76 and -66
  No swap needed
  Compare -66 and 42
  No swap needed
  Compare 42 and 23
  Swap 42 and 23
  List after swap: [-76, -66, 23, 42, 44, 74, 90]

Pass 5:
  Compare -76 and -66
  No swap needed
  Compare -66 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -66, 23, 42, 44, 74, 90]
</think>

<response>-76, -66, 23, 42, 44, 74, 90</response>


input: Implement bubble sort on -30, -59, 81, 5, -70, 13, -94 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-30, -59, 81, 5, -70, 13, -94]

Pass 1:
  Compare -30 and -59
  Swap -30 and -59
  List after swap: [-59, -30, 81, 5, -70, 13, -94]
  Compare -30 and 81
  No swap needed
  Compare 81 and 5
  Swap 81 and 5
  List after swap: [-59, -30, 5, 81, -70, 13, -94]
  Compare 81 and -70
  Swap 81 and -70
  List after swap: [-59, -30, 5, -70, 81, 13, -94]
  Compare 81 and 13
  Swap 81 and 13
  List after swap: [-59, -30, 5, -70, 13, 81, -94]
  Compare 81 and -94
  Swap 81 and -94
  List after swap: [-59, -30, 5, -70, 13, -94, 81]

Pass 2:
  Compare -59 and -30
  No swap needed
  Compare -30 and 5
  No swap needed
  Compare 5 and -70
  Swap 5 and -70
  List after swap: [-59, -30, -70, 5, 13, -94, 81]
  Compare 5 and 13
  No swap needed
  Compare 13 and -94
  Swap 13 and -94
  List after swap: [-59, -30, -70, 5, -94, 13, 81]

Pass 3:
  Compare -59 and -30
  No swap needed
  Compare -30 and -70
  Swap -30 and -70
  List after swap: [-59, -70, -30, 5, -94, 13, 81]
  Compare -30 and 5
  No swap needed
  Compare 5 and -94
  Swap 5 and -94
  List after swap: [-59, -70, -30, -94, 5, 13, 81]

Pass 4:
  Compare -59 and -70
  Swap -59 and -70
  List after swap: [-70, -59, -30, -94, 5, 13, 81]
  Compare -59 and -30
  No swap needed
  Compare -30 and -94
  Swap -30 and -94
  List after swap: [-70, -59, -94, -30, 5, 13, 81]

Pass 5:
  Compare -70 and -59
  No swap needed
  Compare -59 and -94
  Swap -59 and -94
  List after swap: [-70, -94, -59, -30, 5, 13, 81]

Pass 6:
  Compare -70 and -94
  Swap -70 and -94
  List after swap: [-94, -70, -59, -30, 5, 13, 81]

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

Final sorted list: [-94, -70, -59, -30, 5, 13, 81]
</think>

<response>-94, -70, -59, -30, 5, 13, 81</response>


input: Carry out the bubble sort algorithm on -77, -81, 1, 43, 19, 28, 34 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-77, -81, 1, 43, 19, 28, 34]

Pass 1:
  Compare -77 and -81
  Swap -77 and -81
  List after swap: [-81, -77, 1, 43, 19, 28, 34]
  Compare -77 and 1
  No swap needed
  Compare 1 and 43
  No swap needed
  Compare 43 and 19
  Swap 43 and 19
  List after swap: [-81, -77, 1, 19, 43, 28, 34]
  Compare 43 and 28
  Swap 43 and 28
  List after swap: [-81, -77, 1, 19, 28, 43, 34]
  Compare 43 and 34
  Swap 43 and 34
  List after swap: [-81, -77, 1, 19, 28, 34, 43]

Pass 2:
  Compare -81 and -77
  No swap needed
  Compare -77 and 1
  No swap needed
  Compare 1 and 19
  No swap needed
  Compare 19 and 28
  No swap needed
  Compare 28 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -77, 1, 19, 28, 34, 43]
</think>

<response>-81, -77, 1, 19, 28, 34, 43</response>


input: Use the bubble sort technique to reorder 43, -2, -76, 20, 28, 24, -68, 2 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [43, -2, -76, 20, 28, 24, -68, 2]

Pass 1:
  Compare 43 and -2
  Swap 43 and -2
  List after swap: [-2, 43, -76, 20, 28, 24, -68, 2]
  Compare 43 and -76
  Swap 43 and -76
  List after swap: [-2, -76, 43, 20, 28, 24, -68, 2]
  Compare 43 and 20
  Swap 43 and 20
  List after swap: [-2, -76, 20, 43, 28, 24, -68, 2]
  Compare 43 and 28
  Swap 43 and 28
  List after swap: [-2, -76, 20, 28, 43, 24, -68, 2]
  Compare 43 and 24
  Swap 43 and 24
  List after swap: [-2, -76, 20, 28, 24, 43, -68, 2]
  Compare 43 and -68
  Swap 43 and -68
  List after swap: [-2, -76, 20, 28, 24, -68, 43, 2]
  Compare 43 and 2
  Swap 43 and 2
  List after swap: [-2, -76, 20, 28, 24, -68, 2, 43]

Pass 2:
  Compare -2 and -76
  Swap -2 and -76
  List after swap: [-76, -2, 20, 28, 24, -68, 2, 43]
  Compare -2 and 20
  No swap needed
  Compare 20 and 28
  No swap needed
  Compare 28 and 24
  Swap 28 and 24
  List after swap: [-76, -2, 20, 24, 28, -68, 2, 43]
  Compare 28 and -68
  Swap 28 and -68
  List after swap: [-76, -2, 20, 24, -68, 28, 2, 43]
  Compare 28 and 2
  Swap 28 and 2
  List after swap: [-76, -2, 20, 24, -68, 2, 28, 43]

Pass 3:
  Compare -76 and -2
  No swap needed
  Compare -2 and 20
  No swap needed
  Compare 20 and 24
  No swap needed
  Compare 24 and -68
  Swap 24 and -68
  List after swap: [-76, -2, 20, -68, 24, 2, 28, 43]
  Compare 24 and 2
  Swap 24 and 2
  List after swap: [-76, -2, 20, -68, 2, 24, 28, 43]

Pass 4:
  Compare -76 and -2
  No swap needed
  Compare -2 and 20
  No swap needed
  Compare 20 and -68
  Swap 20 and -68
  List after swap: [-76, -2, -68, 20, 2, 24, 28, 43]
  Compare 20 and 2
  Swap 20 and 2
  List after swap: [-76, -2, -68, 2, 20, 24, 28, 43]

Pass 5:
  Compare -76 and -2
  No swap needed
  Compare -2 and -68
  Swap -2 and -68
  List after swap: [-76, -68, -2, 2, 20, 24, 28, 43]
  Compare -2 and 2
  No swap needed

Pass 6:
  Compare -76 and -68
  No swap needed
  Compare -68 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -68, -2, 2, 20, 24, 28, 43]
</think>

<response>-76, -68, -2, 2, 20, 24, 28, 43</response>


input: Using the bubble sort method, sort 19, 8, -41, 7, -5, -13, -31, 0 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [19, 8, -41, 7, -5, -13, -31, 0]

Pass 1:
  Compare 19 and 8
  Swap 19 and 8
  List after swap: [8, 19, -41, 7, -5, -13, -31, 0]
  Compare 19 and -41
  Swap 19 and -41
  List after swap: [8, -41, 19, 7, -5, -13, -31, 0]
  Compare 19 and 7
  Swap 19 and 7
  List after swap: [8, -41, 7, 19, -5, -13, -31, 0]
  Compare 19 and -5
  Swap 19 and -5
  List after swap: [8, -41, 7, -5, 19, -13, -31, 0]
  Compare 19 and -13
  Swap 19 and -13
  List after swap: [8, -41, 7, -5, -13, 19, -31, 0]
  Compare 19 and -31
  Swap 19 and -31
  List after swap: [8, -41, 7, -5, -13, -31, 19, 0]
  Compare 19 and 0
  Swap 19 and 0
  List after swap: [8, -41, 7, -5, -13, -31, 0, 19]

Pass 2:
  Compare 8 and -41
  Swap 8 and -41
  List after swap: [-41, 8, 7, -5, -13, -31, 0, 19]
  Compare 8 and 7
  Swap 8 and 7
  List after swap: [-41, 7, 8, -5, -13, -31, 0, 19]
  Compare 8 and -5
  Swap 8 and -5
  List after swap: [-41, 7, -5, 8, -13, -31, 0, 19]
  Compare 8 and -13
  Swap 8 and -13
  List after swap: [-41, 7, -5, -13, 8, -31, 0, 19]
  Compare 8 and -31
  Swap 8 and -31
  List after swap: [-41, 7, -5, -13, -31, 8, 0, 19]
  Compare 8 and 0
  Swap 8 and 0
  List after swap: [-41, 7, -5, -13, -31, 0, 8, 19]

Pass 3:
  Compare -41 and 7
  No swap needed
  Compare 7 and -5
  Swap 7 and -5
  List after swap: [-41, -5, 7, -13, -31, 0, 8, 19]
  Compare 7 and -13
  Swap 7 and -13
  List after swap: [-41, -5, -13, 7, -31, 0, 8, 19]
  Compare 7 and -31
  Swap 7 and -31
  List after swap: [-41, -5, -13, -31, 7, 0, 8, 19]
  Compare 7 and 0
  Swap 7 and 0
  List after swap: [-41, -5, -13, -31, 0, 7, 8, 19]

Pass 4:
  Compare -41 and -5
  No swap needed
  Compare -5 and -13
  Swap -5 and -13
  List after swap: [-41, -13, -5, -31, 0, 7, 8, 19]
  Compare -5 and -31
  Swap -5 and -31
  List after swap: [-41, -13, -31, -5, 0, 7, 8, 19]
  Compare -5 and 0
  No swap needed

Pass 5:
  Compare -41 and -13
  No swap needed
  Compare -13 and -31
  Swap -13 and -31
  List after swap: [-41, -31, -13, -5, 0, 7, 8, 19]
  Compare -13 and -5
  No swap needed

Pass 6:
  Compare -41 and -31
  No swap needed
  Compare -31 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -31, -13, -5, 0, 7, 8, 19]
</think>

<response>-41, -31, -13, -5, 0, 7, 8, 19</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -91, 2.

output:
<think>
Initial list: [-91, 2]

Pass 1:
  Compare -91 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, 2]
</think>

<response>-91, 2</response>


input: Implement bubble sort on 9, -30, -53, 43, -99, -39, -23 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [9, -30, -53, 43, -99, -39, -23]

Pass 1:
  Compare 9 and -30
  Swap 9 and -30
  List after swap: [-30, 9, -53, 43, -99, -39, -23]
  Compare 9 and -53
  Swap 9 and -53
  List after swap: [-30, -53, 9, 43, -99, -39, -23]
  Compare 9 and 43
  No swap needed
  Compare 43 and -99
  Swap 43 and -99
  List after swap: [-30, -53, 9, -99, 43, -39, -23]
  Compare 43 and -39
  Swap 43 and -39
  List after swap: [-30, -53, 9, -99, -39, 43, -23]
  Compare 43 and -23
  Swap 43 and -23
  List after swap: [-30, -53, 9, -99, -39, -23, 43]

Pass 2:
  Compare -30 and -53
  Swap -30 and -53
  List after swap: [-53, -30, 9, -99, -39, -23, 43]
  Compare -30 and 9
  No swap needed
  Compare 9 and -99
  Swap 9 and -99
  List after swap: [-53, -30, -99, 9, -39, -23, 43]
  Compare 9 and -39
  Swap 9 and -39
  List after swap: [-53, -30, -99, -39, 9, -23, 43]
  Compare 9 and -23
  Swap 9 and -23
  List after swap: [-53, -30, -99, -39, -23, 9, 43]

Pass 3:
  Compare -53 and -30
  No swap needed
  Compare -30 and -99
  Swap -30 and -99
  List after swap: [-53, -99, -30, -39, -23, 9, 43]
  Compare -30 and -39
  Swap -30 and -39
  List after swap: [-53, -99, -39, -30, -23, 9, 43]
  Compare -30 and -23
  No swap needed

Pass 4:
  Compare -53 and -99
  Swap -53 and -99
  List after swap: [-99, -53, -39, -30, -23, 9, 43]
  Compare -53 and -39
  No swap needed
  Compare -39 and -30
  No swap needed

Pass 5:
  Compare -99 and -53
  No swap needed
  Compare -53 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -53, -39, -30, -23, 9, 43]
</think>

<response>-99, -53, -39, -30, -23, 9, 43</response>


input: Sort these integers -7, -64, -98 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-7, -64, -98]

Pass 1:
  Compare -7 and -64
  Swap -7 and -64
  List after swap: [-64, -7, -98]
  Compare -7 and -98
  Swap -7 and -98
  List after swap: [-64, -98, -7]

Pass 2:
  Compare -64 and -98
  Swap -64 and -98
  List after swap: [-98, -64, -7]

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

Final sorted list: [-98, -64, -7]
</think>

<response>-98, -64, -7</response>


input: Using the bubble sort method, sort 26, 67, 27, 34 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [26, 67, 27, 34]

Pass 1:
  Compare 26 and 67
  No swap needed
  Compare 67 and 27
  Swap 67 and 27
  List after swap: [26, 27, 67, 34]
  Compare 67 and 34
  Swap 67 and 34
  List after swap: [26, 27, 34, 67]

Pass 2:
  Compare 26 and 27
  No swap needed
  Compare 27 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [26, 27, 34, 67]
</think>

<response>26, 27, 34, 67</response>


input: Carry out the bubble sort algorithm on 11, 71, -22, -61, -25, -3 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [11, 71, -22, -61, -25, -3]

Pass 1:
  Compare 11 and 71
  No swap needed
  Compare 71 and -22
  Swap 71 and -22
  List after swap: [11, -22, 71, -61, -25, -3]
  Compare 71 and -61
  Swap 71 and -61
  List after swap: [11, -22, -61, 71, -25, -3]
  Compare 71 and -25
  Swap 71 and -25
  List after swap: [11, -22, -61, -25, 71, -3]
  Compare 71 and -3
  Swap 71 and -3
  List after swap: [11, -22, -61, -25, -3, 71]

Pass 2:
  Compare 11 and -22
  Swap 11 and -22
  List after swap: [-22, 11, -61, -25, -3, 71]
  Compare 11 and -61
  Swap 11 and -61
  List after swap: [-22, -61, 11, -25, -3, 71]
  Compare 11 and -25
  Swap 11 and -25
  List after swap: [-22, -61, -25, 11, -3, 71]
  Compare 11 and -3
  Swap 11 and -3
  List after swap: [-22, -61, -25, -3, 11, 71]

Pass 3:
  Compare -22 and -61
  Swap -22 and -61
  List after swap: [-61, -22, -25, -3, 11, 71]
  Compare -22 and -25
  Swap -22 and -25
  List after swap: [-61, -25, -22, -3, 11, 71]
  Compare -22 and -3
  No swap needed

Pass 4:
  Compare -61 and -25
  No swap needed
  Compare -25 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -25, -22, -3, 11, 71]
</think>

<response>-61, -25, -22, -3, 11, 71</response>


input: Arrange the numbers -78, 55, 22 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-78, 55, 22]

Pass 1:
  Compare -78 and 55
  No swap needed
  Compare 55 and 22
  Swap 55 and 22
  List after swap: [-78, 22, 55]

Pass 2:
  Compare -78 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 22, 55]
</think>

<response>-78, 22, 55</response>


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

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

Pass 1:
  Compare -87 and 3
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-87, 3</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 68, -53, -64, 3, -82, 26.

output:
<think>
Initial list: [68, -53, -64, 3, -82, 26]

Pass 1:
  Compare 68 and -53
  Swap 68 and -53
  List after swap: [-53, 68, -64, 3, -82, 26]
  Compare 68 and -64
  Swap 68 and -64
  List after swap: [-53, -64, 68, 3, -82, 26]
  Compare 68 and 3
  Swap 68 and 3
  List after swap: [-53, -64, 3, 68, -82, 26]
  Compare 68 and -82
  Swap 68 and -82
  List after swap: [-53, -64, 3, -82, 68, 26]
  Compare 68 and 26
  Swap 68 and 26
  List after swap: [-53, -64, 3, -82, 26, 68]

Pass 2:
  Compare -53 and -64
  Swap -53 and -64
  List after swap: [-64, -53, 3, -82, 26, 68]
  Compare -53 and 3
  No swap needed
  Compare 3 and -82
  Swap 3 and -82
  List after swap: [-64, -53, -82, 3, 26, 68]
  Compare 3 and 26
  No swap needed

Pass 3:
  Compare -64 and -53
  No swap needed
  Compare -53 and -82
  Swap -53 and -82
  List after swap: [-64, -82, -53, 3, 26, 68]
  Compare -53 and 3
  No swap needed

Pass 4:
  Compare -64 and -82
  Swap -64 and -82
  List after swap: [-82, -64, -53, 3, 26, 68]
  Compare -64 and -53
  No swap needed

Pass 5:
  Compare -82 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -64, -53, 3, 26, 68]
</think>

<response>-82, -64, -53, 3, 26, 68</response>


input: Carry out the bubble sort algorithm on 42, -83, -55, 69, -73, -52, -94 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [42, -83, -55, 69, -73, -52, -94]

Pass 1:
  Compare 42 and -83
  Swap 42 and -83
  List after swap: [-83, 42, -55, 69, -73, -52, -94]
  Compare 42 and -55
  Swap 42 and -55
  List after swap: [-83, -55, 42, 69, -73, -52, -94]
  Compare 42 and 69
  No swap needed
  Compare 69 and -73
  Swap 69 and -73
  List after swap: [-83, -55, 42, -73, 69, -52, -94]
  Compare 69 and -52
  Swap 69 and -52
  List after swap: [-83, -55, 42, -73, -52, 69, -94]
  Compare 69 and -94
  Swap 69 and -94
  List after swap: [-83, -55, 42, -73, -52, -94, 69]

Pass 2:
  Compare -83 and -55
  No swap needed
  Compare -55 and 42
  No swap needed
  Compare 42 and -73
  Swap 42 and -73
  List after swap: [-83, -55, -73, 42, -52, -94, 69]
  Compare 42 and -52
  Swap 42 and -52
  List after swap: [-83, -55, -73, -52, 42, -94, 69]
  Compare 42 and -94
  Swap 42 and -94
  List after swap: [-83, -55, -73, -52, -94, 42, 69]

Pass 3:
  Compare -83 and -55
  No swap needed
  Compare -55 and -73
  Swap -55 and -73
  List after swap: [-83, -73, -55, -52, -94, 42, 69]
  Compare -55 and -52
  No swap needed
  Compare -52 and -94
  Swap -52 and -94
  List after swap: [-83, -73, -55, -94, -52, 42, 69]

Pass 4:
  Compare -83 and -73
  No swap needed
  Compare -73 and -55
  No swap needed
  Compare -55 and -94
  Swap -55 and -94
  List after swap: [-83, -73, -94, -55, -52, 42, 69]

Pass 5:
  Compare -83 and -73
  No swap needed
  Compare -73 and -94
  Swap -73 and -94
  List after swap: [-83, -94, -73, -55, -52, 42, 69]

Pass 6:
  Compare -83 and -94
  Swap -83 and -94
  List after swap: [-94, -83, -73, -55, -52, 42, 69]

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

Final sorted list: [-94, -83, -73, -55, -52, 42, 69]
</think>

<response>-94, -83, -73, -55, -52, 42, 69</response>


input: Use the bubble sort technique to reorder -2, 81, 16, -16, -63, -53, -20, -1, -88, 84 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-2, 81, 16, -16, -63, -53, -20, -1, -88, 84]

Pass 1:
  Compare -2 and 81
  No swap needed
  Compare 81 and 16
  Swap 81 and 16
  List after swap: [-2, 16, 81, -16, -63, -53, -20, -1, -88, 84]
  Compare 81 and -16
  Swap 81 and -16
  List after swap: [-2, 16, -16, 81, -63, -53, -20, -1, -88, 84]
  Compare 81 and -63
  Swap 81 and -63
  List after swap: [-2, 16, -16, -63, 81, -53, -20, -1, -88, 84]
  Compare 81 and -53
  Swap 81 and -53
  List after swap: [-2, 16, -16, -63, -53, 81, -20, -1, -88, 84]
  Compare 81 and -20
  Swap 81 and -20
  List after swap: [-2, 16, -16, -63, -53, -20, 81, -1, -88, 84]
  Compare 81 and -1
  Swap 81 and -1
  List after swap: [-2, 16, -16, -63, -53, -20, -1, 81, -88, 84]
  Compare 81 and -88
  Swap 81 and -88
  List after swap: [-2, 16, -16, -63, -53, -20, -1, -88, 81, 84]
  Compare 81 and 84
  No swap needed

Pass 2:
  Compare -2 and 16
  No swap needed
  Compare 16 and -16
  Swap 16 and -16
  List after swap: [-2, -16, 16, -63, -53, -20, -1, -88, 81, 84]
  Compare 16 and -63
  Swap 16 and -63
  List after swap: [-2, -16, -63, 16, -53, -20, -1, -88, 81, 84]
  Compare 16 and -53
  Swap 16 and -53
  List after swap: [-2, -16, -63, -53, 16, -20, -1, -88, 81, 84]
  Compare 16 and -20
  Swap 16 and -20
  List after swap: [-2, -16, -63, -53, -20, 16, -1, -88, 81, 84]
  Compare 16 and -1
  Swap 16 and -1
  List after swap: [-2, -16, -63, -53, -20, -1, 16, -88, 81, 84]
  Compare 16 and -88
  Swap 16 and -88
  List after swap: [-2, -16, -63, -53, -20, -1, -88, 16, 81, 84]
  Compare 16 and 81
  No swap needed

Pass 3:
  Compare -2 and -16
  Swap -2 and -16
  List after swap: [-16, -2, -63, -53, -20, -1, -88, 16, 81, 84]
  Compare -2 and -63
  Swap -2 and -63
  List after swap: [-16, -63, -2, -53, -20, -1, -88, 16, 81, 84]
  Compare -2 and -53
  Swap -2 and -53
  List after swap: [-16, -63, -53, -2, -20, -1, -88, 16, 81, 84]
  Compare -2 and -20
  Swap -2 and -20
  List after swap: [-16, -63, -53, -20, -2, -1, -88, 16, 81, 84]
  Compare -2 and -1
  No swap needed
  Compare -1 and -88
  Swap -1 and -88
  List after swap: [-16, -63, -53, -20, -2, -88, -1, 16, 81, 84]
  Compare -1 and 16
  No swap needed

Pass 4:
  Compare -16 and -63
  Swap -16 and -63
  List after swap: [-63, -16, -53, -20, -2, -88, -1, 16, 81, 84]
  Compare -16 and -53
  Swap -16 and -53
  List after swap: [-63, -53, -16, -20, -2, -88, -1, 16, 81, 84]
  Compare -16 and -20
  Swap -16 and -20
  List after swap: [-63, -53, -20, -16, -2, -88, -1, 16, 81, 84]
  Compare -16 and -2
  No swap needed
  Compare -2 and -88
  Swap -2 and -88
  List after swap: [-63, -53, -20, -16, -88, -2, -1, 16, 81, 84]
  Compare -2 and -1
  No swap needed

Pass 5:
  Compare -63 and -53
  No swap needed
  Compare -53 and -20
  No swap needed
  Compare -20 and -16
  No swap needed
  Compare -16 and -88
  Swap -16 and -88
  List after swap: [-63, -53, -20, -88, -16, -2, -1, 16, 81, 84]
  Compare -16 and -2
  No swap needed

Pass 6:
  Compare -63 and -53
  No swap needed
  Compare -53 and -20
  No swap needed
  Compare -20 and -88
  Swap -20 and -88
  List after swap: [-63, -53, -88, -20, -16, -2, -1, 16, 81, 84]
  Compare -20 and -16
  No swap needed

Pass 7:
  Compare -63 and -53
  No swap needed
  Compare -53 and -88
  Swap -53 and -88
  List after swap: [-63, -88, -53, -20, -16, -2, -1, 16, 81, 84]
  Compare -53 and -20
  No swap needed

Pass 8:
  Compare -63 and -88
  Swap -63 and -88
  List after swap: [-88, -63, -53, -20, -16, -2, -1, 16, 81, 84]
  Compare -63 and -53
  No swap needed

Pass 9:
  Compare -88 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -63, -53, -20, -16, -2, -1, 16, 81, 84]
</think>

<response>-88, -63, -53, -20, -16, -2, -1, 16, 81, 84</response>


input: Demonstrate how bubble sort orders the integers -39, 37, -91 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-39, 37, -91]

Pass 1:
  Compare -39 and 37
  No swap needed
  Compare 37 and -91
  Swap 37 and -91
  List after swap: [-39, -91, 37]

Pass 2:
  Compare -39 and -91
  Swap -39 and -91
  List after swap: [-91, -39, 37]

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

Final sorted list: [-91, -39, 37]
</think>

<response>-91, -39, 37</response>


input: Demonstrate how bubble sort orders the integers 92, -81, 17, 74, 93, 1, -3 in ascending sequence, showing all steps.

output:
<think>
Initial list: [92, -81, 17, 74, 93, 1, -3]

Pass 1:
  Compare 92 and -81
  Swap 92 and -81
  List after swap: [-81, 92, 17, 74, 93, 1, -3]
  Compare 92 and 17
  Swap 92 and 17
  List after swap: [-81, 17, 92, 74, 93, 1, -3]
  Compare 92 and 74
  Swap 92 and 74
  List after swap: [-81, 17, 74, 92, 93, 1, -3]
  Compare 92 and 93
  No swap needed
  Compare 93 and 1
  Swap 93 and 1
  List after swap: [-81, 17, 74, 92, 1, 93, -3]
  Compare 93 and -3
  Swap 93 and -3
  List after swap: [-81, 17, 74, 92, 1, -3, 93]

Pass 2:
  Compare -81 and 17
  No swap needed
  Compare 17 and 74
  No swap needed
  Compare 74 and 92
  No swap needed
  Compare 92 and 1
  Swap 92 and 1
  List after swap: [-81, 17, 74, 1, 92, -3, 93]
  Compare 92 and -3
  Swap 92 and -3
  List after swap: [-81, 17, 74, 1, -3, 92, 93]

Pass 3:
  Compare -81 and 17
  No swap needed
  Compare 17 and 74
  No swap needed
  Compare 74 and 1
  Swap 74 and 1
  List after swap: [-81, 17, 1, 74, -3, 92, 93]
  Compare 74 and -3
  Swap 74 and -3
  List after swap: [-81, 17, 1, -3, 74, 92, 93]

Pass 4:
  Compare -81 and 17
  No swap needed
  Compare 17 and 1
  Swap 17 and 1
  List after swap: [-81, 1, 17, -3, 74, 92, 93]
  Compare 17 and -3
  Swap 17 and -3
  List after swap: [-81, 1, -3, 17, 74, 92, 93]

Pass 5:
  Compare -81 and 1
  No swap needed
  Compare 1 and -3
  Swap 1 and -3
  List after swap: [-81, -3, 1, 17, 74, 92, 93]

Pass 6:
  Compare -81 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -3, 1, 17, 74, 92, 93]
</think>

<response>-81, -3, 1, 17, 74, 92, 93</response>


input: Using the bubble sort method, sort 13, -80, 21, 19, 29, 6, -82, -19 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [13, -80, 21, 19, 29, 6, -82, -19]

Pass 1:
  Compare 13 and -80
  Swap 13 and -80
  List after swap: [-80, 13, 21, 19, 29, 6, -82, -19]
  Compare 13 and 21
  No swap needed
  Compare 21 and 19
  Swap 21 and 19
  List after swap: [-80, 13, 19, 21, 29, 6, -82, -19]
  Compare 21 and 29
  No swap needed
  Compare 29 and 6
  Swap 29 and 6
  List after swap: [-80, 13, 19, 21, 6, 29, -82, -19]
  Compare 29 and -82
  Swap 29 and -82
  List after swap: [-80, 13, 19, 21, 6, -82, 29, -19]
  Compare 29 and -19
  Swap 29 and -19
  List after swap: [-80, 13, 19, 21, 6, -82, -19, 29]

Pass 2:
  Compare -80 and 13
  No swap needed
  Compare 13 and 19
  No swap needed
  Compare 19 and 21
  No swap needed
  Compare 21 and 6
  Swap 21 and 6
  List after swap: [-80, 13, 19, 6, 21, -82, -19, 29]
  Compare 21 and -82
  Swap 21 and -82
  List after swap: [-80, 13, 19, 6, -82, 21, -19, 29]
  Compare 21 and -19
  Swap 21 and -19
  List after swap: [-80, 13, 19, 6, -82, -19, 21, 29]

Pass 3:
  Compare -80 and 13
  No swap needed
  Compare 13 and 19
  No swap needed
  Compare 19 and 6
  Swap 19 and 6
  List after swap: [-80, 13, 6, 19, -82, -19, 21, 29]
  Compare 19 and -82
  Swap 19 and -82
  List after swap: [-80, 13, 6, -82, 19, -19, 21, 29]
  Compare 19 and -19
  Swap 19 and -19
  List after swap: [-80, 13, 6, -82, -19, 19, 21, 29]

Pass 4:
  Compare -80 and 13
  No swap needed
  Compare 13 and 6
  Swap 13 and 6
  List after swap: [-80, 6, 13, -82, -19, 19, 21, 29]
  Compare 13 and -82
  Swap 13 and -82
  List after swap: [-80, 6, -82, 13, -19, 19, 21, 29]
  Compare 13 and -19
  Swap 13 and -19
  List after swap: [-80, 6, -82, -19, 13, 19, 21, 29]

Pass 5:
  Compare -80 and 6
  No swap needed
  Compare 6 and -82
  Swap 6 and -82
  List after swap: [-80, -82, 6, -19, 13, 19, 21, 29]
  Compare 6 and -19
  Swap 6 and -19
  List after swap: [-80, -82, -19, 6, 13, 19, 21, 29]

Pass 6:
  Compare -80 and -82
  Swap -80 and -82
  List after swap: [-82, -80, -19, 6, 13, 19, 21, 29]
  Compare -80 and -19
  No swap needed

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

Final sorted list: [-82, -80, -19, 6, 13, 19, 21, 29]
</think>

<response>-82, -80, -19, 6, 13, 19, 21, 29</response>


input: Sort the list -12, -45, 9, 27, -80, 36, 52, 67 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-12, -45, 9, 27, -80, 36, 52, 67]

Pass 1:
  Compare -12 and -45
  Swap -12 and -45
  List after swap: [-45, -12, 9, 27, -80, 36, 52, 67]
  Compare -12 and 9
  No swap needed
  Compare 9 and 27
  No swap needed
  Compare 27 and -80
  Swap 27 and -80
  List after swap: [-45, -12, 9, -80, 27, 36, 52, 67]
  Compare 27 and 36
  No swap needed
  Compare 36 and 52
  No swap needed
  Compare 52 and 67
  No swap needed

Pass 2:
  Compare -45 and -12
  No swap needed
  Compare -12 and 9
  No swap needed
  Compare 9 and -80
  Swap 9 and -80
  List after swap: [-45, -12, -80, 9, 27, 36, 52, 67]
  Compare 9 and 27
  No swap needed
  Compare 27 and 36
  No swap needed
  Compare 36 and 52
  No swap needed

Pass 3:
  Compare -45 and -12
  No swap needed
  Compare -12 and -80
  Swap -12 and -80
  List after swap: [-45, -80, -12, 9, 27, 36, 52, 67]
  Compare -12 and 9
  No swap needed
  Compare 9 and 27
  No swap needed
  Compare 27 and 36
  No swap needed

Pass 4:
  Compare -45 and -80
  Swap -45 and -80
  List after swap: [-80, -45, -12, 9, 27, 36, 52, 67]
  Compare -45 and -12
  No swap needed
  Compare -12 and 9
  No swap needed
  Compare 9 and 27
  No swap needed

Pass 5:
  Compare -80 and -45
  No swap needed
  Compare -45 and -12
  No swap needed
  Compare -12 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -45, -12, 9, 27, 36, 52, 67]
</think>

<response>-80, -45, -12, 9, 27, 36, 52, 67</response>