input: Demonstrate how bubble sort orders the integers -7, -25, -22, -36, -75, -81, 22, -66, -83 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-7, -25, -22, -36, -75, -81, 22, -66, -83]

Pass 1:
  Compare -7 and -25
  Swap -7 and -25
  List after swap: [-25, -7, -22, -36, -75, -81, 22, -66, -83]
  Compare -7 and -22
  Swap -7 and -22
  List after swap: [-25, -22, -7, -36, -75, -81, 22, -66, -83]
  Compare -7 and -36
  Swap -7 and -36
  List after swap: [-25, -22, -36, -7, -75, -81, 22, -66, -83]
  Compare -7 and -75
  Swap -7 and -75
  List after swap: [-25, -22, -36, -75, -7, -81, 22, -66, -83]
  Compare -7 and -81
  Swap -7 and -81
  List after swap: [-25, -22, -36, -75, -81, -7, 22, -66, -83]
  Compare -7 and 22
  No swap needed
  Compare 22 and -66
  Swap 22 and -66
  List after swap: [-25, -22, -36, -75, -81, -7, -66, 22, -83]
  Compare 22 and -83
  Swap 22 and -83
  List after swap: [-25, -22, -36, -75, -81, -7, -66, -83, 22]

Pass 2:
  Compare -25 and -22
  No swap needed
  Compare -22 and -36
  Swap -22 and -36
  List after swap: [-25, -36, -22, -75, -81, -7, -66, -83, 22]
  Compare -22 and -75
  Swap -22 and -75
  List after swap: [-25, -36, -75, -22, -81, -7, -66, -83, 22]
  Compare -22 and -81
  Swap -22 and -81
  List after swap: [-25, -36, -75, -81, -22, -7, -66, -83, 22]
  Compare -22 and -7
  No swap needed
  Compare -7 and -66
  Swap -7 and -66
  List after swap: [-25, -36, -75, -81, -22, -66, -7, -83, 22]
  Compare -7 and -83
  Swap -7 and -83
  List after swap: [-25, -36, -75, -81, -22, -66, -83, -7, 22]

Pass 3:
  Compare -25 and -36
  Swap -25 and -36
  List after swap: [-36, -25, -75, -81, -22, -66, -83, -7, 22]
  Compare -25 and -75
  Swap -25 and -75
  List after swap: [-36, -75, -25, -81, -22, -66, -83, -7, 22]
  Compare -25 and -81
  Swap -25 and -81
  List after swap: [-36, -75, -81, -25, -22, -66, -83, -7, 22]
  Compare -25 and -22
  No swap needed
  Compare -22 and -66
  Swap -22 and -66
  List after swap: [-36, -75, -81, -25, -66, -22, -83, -7, 22]
  Compare -22 and -83
  Swap -22 and -83
  List after swap: [-36, -75, -81, -25, -66, -83, -22, -7, 22]

Pass 4:
  Compare -36 and -75
  Swap -36 and -75
  List after swap: [-75, -36, -81, -25, -66, -83, -22, -7, 22]
  Compare -36 and -81
  Swap -36 and -81
  List after swap: [-75, -81, -36, -25, -66, -83, -22, -7, 22]
  Compare -36 and -25
  No swap needed
  Compare -25 and -66
  Swap -25 and -66
  List after swap: [-75, -81, -36, -66, -25, -83, -22, -7, 22]
  Compare -25 and -83
  Swap -25 and -83
  List after swap: [-75, -81, -36, -66, -83, -25, -22, -7, 22]

Pass 5:
  Compare -75 and -81
  Swap -75 and -81
  List after swap: [-81, -75, -36, -66, -83, -25, -22, -7, 22]
  Compare -75 and -36
  No swap needed
  Compare -36 and -66
  Swap -36 and -66
  List after swap: [-81, -75, -66, -36, -83, -25, -22, -7, 22]
  Compare -36 and -83
  Swap -36 and -83
  List after swap: [-81, -75, -66, -83, -36, -25, -22, -7, 22]

Pass 6:
  Compare -81 and -75
  No swap needed
  Compare -75 and -66
  No swap needed
  Compare -66 and -83
  Swap -66 and -83
  List after swap: [-81, -75, -83, -66, -36, -25, -22, -7, 22]

Pass 7:
  Compare -81 and -75
  No swap needed
  Compare -75 and -83
  Swap -75 and -83
  List after swap: [-81, -83, -75, -66, -36, -25, -22, -7, 22]

Pass 8:
  Compare -81 and -83
  Swap -81 and -83
  List after swap: [-83, -81, -75, -66, -36, -25, -22, -7, 22]

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

Final sorted list: [-83, -81, -75, -66, -36, -25, -22, -7, 22]
</think>

<response>-83, -81, -75, -66, -36, -25, -22, -7, 22</response>


input: Arrange the numbers 62, 0, 55, 76, -73, 15 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [62, 0, 55, 76, -73, 15]

Pass 1:
  Compare 62 and 0
  Swap 62 and 0
  List after swap: [0, 62, 55, 76, -73, 15]
  Compare 62 and 55
  Swap 62 and 55
  List after swap: [0, 55, 62, 76, -73, 15]
  Compare 62 and 76
  No swap needed
  Compare 76 and -73
  Swap 76 and -73
  List after swap: [0, 55, 62, -73, 76, 15]
  Compare 76 and 15
  Swap 76 and 15
  List after swap: [0, 55, 62, -73, 15, 76]

Pass 2:
  Compare 0 and 55
  No swap needed
  Compare 55 and 62
  No swap needed
  Compare 62 and -73
  Swap 62 and -73
  List after swap: [0, 55, -73, 62, 15, 76]
  Compare 62 and 15
  Swap 62 and 15
  List after swap: [0, 55, -73, 15, 62, 76]

Pass 3:
  Compare 0 and 55
  No swap needed
  Compare 55 and -73
  Swap 55 and -73
  List after swap: [0, -73, 55, 15, 62, 76]
  Compare 55 and 15
  Swap 55 and 15
  List after swap: [0, -73, 15, 55, 62, 76]

Pass 4:
  Compare 0 and -73
  Swap 0 and -73
  List after swap: [-73, 0, 15, 55, 62, 76]
  Compare 0 and 15
  No swap needed

Pass 5:
  Compare -73 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, 0, 15, 55, 62, 76]
</think>

<response>-73, 0, 15, 55, 62, 76</response>


input: Using the bubble sort method, sort -68, -91, 86, -24, 69, 46, -84, 79, -93 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-68, -91, 86, -24, 69, 46, -84, 79, -93]

Pass 1:
  Compare -68 and -91
  Swap -68 and -91
  List after swap: [-91, -68, 86, -24, 69, 46, -84, 79, -93]
  Compare -68 and 86
  No swap needed
  Compare 86 and -24
  Swap 86 and -24
  List after swap: [-91, -68, -24, 86, 69, 46, -84, 79, -93]
  Compare 86 and 69
  Swap 86 and 69
  List after swap: [-91, -68, -24, 69, 86, 46, -84, 79, -93]
  Compare 86 and 46
  Swap 86 and 46
  List after swap: [-91, -68, -24, 69, 46, 86, -84, 79, -93]
  Compare 86 and -84
  Swap 86 and -84
  List after swap: [-91, -68, -24, 69, 46, -84, 86, 79, -93]
  Compare 86 and 79
  Swap 86 and 79
  List after swap: [-91, -68, -24, 69, 46, -84, 79, 86, -93]
  Compare 86 and -93
  Swap 86 and -93
  List after swap: [-91, -68, -24, 69, 46, -84, 79, -93, 86]

Pass 2:
  Compare -91 and -68
  No swap needed
  Compare -68 and -24
  No swap needed
  Compare -24 and 69
  No swap needed
  Compare 69 and 46
  Swap 69 and 46
  List after swap: [-91, -68, -24, 46, 69, -84, 79, -93, 86]
  Compare 69 and -84
  Swap 69 and -84
  List after swap: [-91, -68, -24, 46, -84, 69, 79, -93, 86]
  Compare 69 and 79
  No swap needed
  Compare 79 and -93
  Swap 79 and -93
  List after swap: [-91, -68, -24, 46, -84, 69, -93, 79, 86]

Pass 3:
  Compare -91 and -68
  No swap needed
  Compare -68 and -24
  No swap needed
  Compare -24 and 46
  No swap needed
  Compare 46 and -84
  Swap 46 and -84
  List after swap: [-91, -68, -24, -84, 46, 69, -93, 79, 86]
  Compare 46 and 69
  No swap needed
  Compare 69 and -93
  Swap 69 and -93
  List after swap: [-91, -68, -24, -84, 46, -93, 69, 79, 86]

Pass 4:
  Compare -91 and -68
  No swap needed
  Compare -68 and -24
  No swap needed
  Compare -24 and -84
  Swap -24 and -84
  List after swap: [-91, -68, -84, -24, 46, -93, 69, 79, 86]
  Compare -24 and 46
  No swap needed
  Compare 46 and -93
  Swap 46 and -93
  List after swap: [-91, -68, -84, -24, -93, 46, 69, 79, 86]

Pass 5:
  Compare -91 and -68
  No swap needed
  Compare -68 and -84
  Swap -68 and -84
  List after swap: [-91, -84, -68, -24, -93, 46, 69, 79, 86]
  Compare -68 and -24
  No swap needed
  Compare -24 and -93
  Swap -24 and -93
  List after swap: [-91, -84, -68, -93, -24, 46, 69, 79, 86]

Pass 6:
  Compare -91 and -84
  No swap needed
  Compare -84 and -68
  No swap needed
  Compare -68 and -93
  Swap -68 and -93
  List after swap: [-91, -84, -93, -68, -24, 46, 69, 79, 86]

Pass 7:
  Compare -91 and -84
  No swap needed
  Compare -84 and -93
  Swap -84 and -93
  List after swap: [-91, -93, -84, -68, -24, 46, 69, 79, 86]

Pass 8:
  Compare -91 and -93
  Swap -91 and -93
  List after swap: [-93, -91, -84, -68, -24, 46, 69, 79, 86]

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

Final sorted list: [-93, -91, -84, -68, -24, 46, 69, 79, 86]
</think>

<response>-93, -91, -84, -68, -24, 46, 69, 79, 86</response>


input: Execute bubble sort to sort 20, -34, 27 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [20, -34, 27]

Pass 1:
  Compare 20 and -34
  Swap 20 and -34
  List after swap: [-34, 20, 27]
  Compare 20 and 27
  No swap needed

Pass 2:
  Compare -34 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, 20, 27]
</think>

<response>-34, 20, 27</response>


input: Carry out the bubble sort algorithm on -55, -72 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-55, -72]

Pass 1:
  Compare -55 and -72
  Swap -55 and -72
  List after swap: [-72, -55]

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

Final sorted list: [-72, -55]
</think>

<response>-72, -55</response>


input: Perform a bubble sort on the integers 23, -63, 59, 34, -52, 47, 60, -1, -83, 33, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [23, -63, 59, 34, -52, 47, 60, -1, -83, 33]

Pass 1:
  Compare 23 and -63
  Swap 23 and -63
  List after swap: [-63, 23, 59, 34, -52, 47, 60, -1, -83, 33]
  Compare 23 and 59
  No swap needed
  Compare 59 and 34
  Swap 59 and 34
  List after swap: [-63, 23, 34, 59, -52, 47, 60, -1, -83, 33]
  Compare 59 and -52
  Swap 59 and -52
  List after swap: [-63, 23, 34, -52, 59, 47, 60, -1, -83, 33]
  Compare 59 and 47
  Swap 59 and 47
  List after swap: [-63, 23, 34, -52, 47, 59, 60, -1, -83, 33]
  Compare 59 and 60
  No swap needed
  Compare 60 and -1
  Swap 60 and -1
  List after swap: [-63, 23, 34, -52, 47, 59, -1, 60, -83, 33]
  Compare 60 and -83
  Swap 60 and -83
  List after swap: [-63, 23, 34, -52, 47, 59, -1, -83, 60, 33]
  Compare 60 and 33
  Swap 60 and 33
  List after swap: [-63, 23, 34, -52, 47, 59, -1, -83, 33, 60]

Pass 2:
  Compare -63 and 23
  No swap needed
  Compare 23 and 34
  No swap needed
  Compare 34 and -52
  Swap 34 and -52
  List after swap: [-63, 23, -52, 34, 47, 59, -1, -83, 33, 60]
  Compare 34 and 47
  No swap needed
  Compare 47 and 59
  No swap needed
  Compare 59 and -1
  Swap 59 and -1
  List after swap: [-63, 23, -52, 34, 47, -1, 59, -83, 33, 60]
  Compare 59 and -83
  Swap 59 and -83
  List after swap: [-63, 23, -52, 34, 47, -1, -83, 59, 33, 60]
  Compare 59 and 33
  Swap 59 and 33
  List after swap: [-63, 23, -52, 34, 47, -1, -83, 33, 59, 60]

Pass 3:
  Compare -63 and 23
  No swap needed
  Compare 23 and -52
  Swap 23 and -52
  List after swap: [-63, -52, 23, 34, 47, -1, -83, 33, 59, 60]
  Compare 23 and 34
  No swap needed
  Compare 34 and 47
  No swap needed
  Compare 47 and -1
  Swap 47 and -1
  List after swap: [-63, -52, 23, 34, -1, 47, -83, 33, 59, 60]
  Compare 47 and -83
  Swap 47 and -83
  List after swap: [-63, -52, 23, 34, -1, -83, 47, 33, 59, 60]
  Compare 47 and 33
  Swap 47 and 33
  List after swap: [-63, -52, 23, 34, -1, -83, 33, 47, 59, 60]

Pass 4:
  Compare -63 and -52
  No swap needed
  Compare -52 and 23
  No swap needed
  Compare 23 and 34
  No swap needed
  Compare 34 and -1
  Swap 34 and -1
  List after swap: [-63, -52, 23, -1, 34, -83, 33, 47, 59, 60]
  Compare 34 and -83
  Swap 34 and -83
  List after swap: [-63, -52, 23, -1, -83, 34, 33, 47, 59, 60]
  Compare 34 and 33
  Swap 34 and 33
  List after swap: [-63, -52, 23, -1, -83, 33, 34, 47, 59, 60]

Pass 5:
  Compare -63 and -52
  No swap needed
  Compare -52 and 23
  No swap needed
  Compare 23 and -1
  Swap 23 and -1
  List after swap: [-63, -52, -1, 23, -83, 33, 34, 47, 59, 60]
  Compare 23 and -83
  Swap 23 and -83
  List after swap: [-63, -52, -1, -83, 23, 33, 34, 47, 59, 60]
  Compare 23 and 33
  No swap needed

Pass 6:
  Compare -63 and -52
  No swap needed
  Compare -52 and -1
  No swap needed
  Compare -1 and -83
  Swap -1 and -83
  List after swap: [-63, -52, -83, -1, 23, 33, 34, 47, 59, 60]
  Compare -1 and 23
  No swap needed

Pass 7:
  Compare -63 and -52
  No swap needed
  Compare -52 and -83
  Swap -52 and -83
  List after swap: [-63, -83, -52, -1, 23, 33, 34, 47, 59, 60]
  Compare -52 and -1
  No swap needed

Pass 8:
  Compare -63 and -83
  Swap -63 and -83
  List after swap: [-83, -63, -52, -1, 23, 33, 34, 47, 59, 60]
  Compare -63 and -52
  No swap needed

Pass 9:
  Compare -83 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -63, -52, -1, 23, 33, 34, 47, 59, 60]
</think>

<response>-83, -63, -52, -1, 23, 33, 34, 47, 59, 60</response>


input: Sort the list -38, -61 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-38, -61]

Pass 1:
  Compare -38 and -61
  Swap -38 and -61
  List after swap: [-61, -38]

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

Final sorted list: [-61, -38]
</think>

<response>-61, -38</response>


input: Sort these integers 43, 82, 91, -33 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [43, 82, 91, -33]

Pass 1:
  Compare 43 and 82
  No swap needed
  Compare 82 and 91
  No swap needed
  Compare 91 and -33
  Swap 91 and -33
  List after swap: [43, 82, -33, 91]

Pass 2:
  Compare 43 and 82
  No swap needed
  Compare 82 and -33
  Swap 82 and -33
  List after swap: [43, -33, 82, 91]

Pass 3:
  Compare 43 and -33
  Swap 43 and -33
  List after swap: [-33, 43, 82, 91]

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

Final sorted list: [-33, 43, 82, 91]
</think>

<response>-33, 43, 82, 91</response>


input: Using the bubble sort method, sort -55, -56, -90, -36, -53, 48, 47 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-55, -56, -90, -36, -53, 48, 47]

Pass 1:
  Compare -55 and -56
  Swap -55 and -56
  List after swap: [-56, -55, -90, -36, -53, 48, 47]
  Compare -55 and -90
  Swap -55 and -90
  List after swap: [-56, -90, -55, -36, -53, 48, 47]
  Compare -55 and -36
  No swap needed
  Compare -36 and -53
  Swap -36 and -53
  List after swap: [-56, -90, -55, -53, -36, 48, 47]
  Compare -36 and 48
  No swap needed
  Compare 48 and 47
  Swap 48 and 47
  List after swap: [-56, -90, -55, -53, -36, 47, 48]

Pass 2:
  Compare -56 and -90
  Swap -56 and -90
  List after swap: [-90, -56, -55, -53, -36, 47, 48]
  Compare -56 and -55
  No swap needed
  Compare -55 and -53
  No swap needed
  Compare -53 and -36
  No swap needed
  Compare -36 and 47
  No swap needed

Pass 3:
  Compare -90 and -56
  No swap needed
  Compare -56 and -55
  No swap needed
  Compare -55 and -53
  No swap needed
  Compare -53 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -56, -55, -53, -36, 47, 48]
</think>

<response>-90, -56, -55, -53, -36, 47, 48</response>


input: Sort these integers 39, 15, 94, -54, 21 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [39, 15, 94, -54, 21]

Pass 1:
  Compare 39 and 15
  Swap 39 and 15
  List after swap: [15, 39, 94, -54, 21]
  Compare 39 and 94
  No swap needed
  Compare 94 and -54
  Swap 94 and -54
  List after swap: [15, 39, -54, 94, 21]
  Compare 94 and 21
  Swap 94 and 21
  List after swap: [15, 39, -54, 21, 94]

Pass 2:
  Compare 15 and 39
  No swap needed
  Compare 39 and -54
  Swap 39 and -54
  List after swap: [15, -54, 39, 21, 94]
  Compare 39 and 21
  Swap 39 and 21
  List after swap: [15, -54, 21, 39, 94]

Pass 3:
  Compare 15 and -54
  Swap 15 and -54
  List after swap: [-54, 15, 21, 39, 94]
  Compare 15 and 21
  No swap needed

Pass 4:
  Compare -54 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, 15, 21, 39, 94]
</think>

<response>-54, 15, 21, 39, 94</response>


input: Carry out the bubble sort algorithm on -44, -74, 18, 93, -73, 76, 83, 70, -43 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-44, -74, 18, 93, -73, 76, 83, 70, -43]

Pass 1:
  Compare -44 and -74
  Swap -44 and -74
  List after swap: [-74, -44, 18, 93, -73, 76, 83, 70, -43]
  Compare -44 and 18
  No swap needed
  Compare 18 and 93
  No swap needed
  Compare 93 and -73
  Swap 93 and -73
  List after swap: [-74, -44, 18, -73, 93, 76, 83, 70, -43]
  Compare 93 and 76
  Swap 93 and 76
  List after swap: [-74, -44, 18, -73, 76, 93, 83, 70, -43]
  Compare 93 and 83
  Swap 93 and 83
  List after swap: [-74, -44, 18, -73, 76, 83, 93, 70, -43]
  Compare 93 and 70
  Swap 93 and 70
  List after swap: [-74, -44, 18, -73, 76, 83, 70, 93, -43]
  Compare 93 and -43
  Swap 93 and -43
  List after swap: [-74, -44, 18, -73, 76, 83, 70, -43, 93]

Pass 2:
  Compare -74 and -44
  No swap needed
  Compare -44 and 18
  No swap needed
  Compare 18 and -73
  Swap 18 and -73
  List after swap: [-74, -44, -73, 18, 76, 83, 70, -43, 93]
  Compare 18 and 76
  No swap needed
  Compare 76 and 83
  No swap needed
  Compare 83 and 70
  Swap 83 and 70
  List after swap: [-74, -44, -73, 18, 76, 70, 83, -43, 93]
  Compare 83 and -43
  Swap 83 and -43
  List after swap: [-74, -44, -73, 18, 76, 70, -43, 83, 93]

Pass 3:
  Compare -74 and -44
  No swap needed
  Compare -44 and -73
  Swap -44 and -73
  List after swap: [-74, -73, -44, 18, 76, 70, -43, 83, 93]
  Compare -44 and 18
  No swap needed
  Compare 18 and 76
  No swap needed
  Compare 76 and 70
  Swap 76 and 70
  List after swap: [-74, -73, -44, 18, 70, 76, -43, 83, 93]
  Compare 76 and -43
  Swap 76 and -43
  List after swap: [-74, -73, -44, 18, 70, -43, 76, 83, 93]

Pass 4:
  Compare -74 and -73
  No swap needed
  Compare -73 and -44
  No swap needed
  Compare -44 and 18
  No swap needed
  Compare 18 and 70
  No swap needed
  Compare 70 and -43
  Swap 70 and -43
  List after swap: [-74, -73, -44, 18, -43, 70, 76, 83, 93]

Pass 5:
  Compare -74 and -73
  No swap needed
  Compare -73 and -44
  No swap needed
  Compare -44 and 18
  No swap needed
  Compare 18 and -43
  Swap 18 and -43
  List after swap: [-74, -73, -44, -43, 18, 70, 76, 83, 93]

Pass 6:
  Compare -74 and -73
  No swap needed
  Compare -73 and -44
  No swap needed
  Compare -44 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -73, -44, -43, 18, 70, 76, 83, 93]
</think>

<response>-74, -73, -44, -43, 18, 70, 76, 83, 93</response>


input: Carry out the bubble sort algorithm on 13, 15, -89, 16, 45 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [13, 15, -89, 16, 45]

Pass 1:
  Compare 13 and 15
  No swap needed
  Compare 15 and -89
  Swap 15 and -89
  List after swap: [13, -89, 15, 16, 45]
  Compare 15 and 16
  No swap needed
  Compare 16 and 45
  No swap needed

Pass 2:
  Compare 13 and -89
  Swap 13 and -89
  List after swap: [-89, 13, 15, 16, 45]
  Compare 13 and 15
  No swap needed
  Compare 15 and 16
  No swap needed

Pass 3:
  Compare -89 and 13
  No swap needed
  Compare 13 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, 13, 15, 16, 45]
</think>

<response>-89, 13, 15, 16, 45</response>


input: Execute bubble sort to sort -57, -67 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-57, -67]

Pass 1:
  Compare -57 and -67
  Swap -57 and -67
  List after swap: [-67, -57]

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

Final sorted list: [-67, -57]
</think>

<response>-67, -57</response>


input: Execute bubble sort to sort -29, 64, 73, -38, -88, 47 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-29, 64, 73, -38, -88, 47]

Pass 1:
  Compare -29 and 64
  No swap needed
  Compare 64 and 73
  No swap needed
  Compare 73 and -38
  Swap 73 and -38
  List after swap: [-29, 64, -38, 73, -88, 47]
  Compare 73 and -88
  Swap 73 and -88
  List after swap: [-29, 64, -38, -88, 73, 47]
  Compare 73 and 47
  Swap 73 and 47
  List after swap: [-29, 64, -38, -88, 47, 73]

Pass 2:
  Compare -29 and 64
  No swap needed
  Compare 64 and -38
  Swap 64 and -38
  List after swap: [-29, -38, 64, -88, 47, 73]
  Compare 64 and -88
  Swap 64 and -88
  List after swap: [-29, -38, -88, 64, 47, 73]
  Compare 64 and 47
  Swap 64 and 47
  List after swap: [-29, -38, -88, 47, 64, 73]

Pass 3:
  Compare -29 and -38
  Swap -29 and -38
  List after swap: [-38, -29, -88, 47, 64, 73]
  Compare -29 and -88
  Swap -29 and -88
  List after swap: [-38, -88, -29, 47, 64, 73]
  Compare -29 and 47
  No swap needed

Pass 4:
  Compare -38 and -88
  Swap -38 and -88
  List after swap: [-88, -38, -29, 47, 64, 73]
  Compare -38 and -29
  No swap needed

Pass 5:
  Compare -88 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -38, -29, 47, 64, 73]
</think>

<response>-88, -38, -29, 47, 64, 73</response>


input: Sort the list -3, -45, -78, 48, -25, 97, 35, 33, -9, 10 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-3, -45, -78, 48, -25, 97, 35, 33, -9, 10]

Pass 1:
  Compare -3 and -45
  Swap -3 and -45
  List after swap: [-45, -3, -78, 48, -25, 97, 35, 33, -9, 10]
  Compare -3 and -78
  Swap -3 and -78
  List after swap: [-45, -78, -3, 48, -25, 97, 35, 33, -9, 10]
  Compare -3 and 48
  No swap needed
  Compare 48 and -25
  Swap 48 and -25
  List after swap: [-45, -78, -3, -25, 48, 97, 35, 33, -9, 10]
  Compare 48 and 97
  No swap needed
  Compare 97 and 35
  Swap 97 and 35
  List after swap: [-45, -78, -3, -25, 48, 35, 97, 33, -9, 10]
  Compare 97 and 33
  Swap 97 and 33
  List after swap: [-45, -78, -3, -25, 48, 35, 33, 97, -9, 10]
  Compare 97 and -9
  Swap 97 and -9
  List after swap: [-45, -78, -3, -25, 48, 35, 33, -9, 97, 10]
  Compare 97 and 10
  Swap 97 and 10
  List after swap: [-45, -78, -3, -25, 48, 35, 33, -9, 10, 97]

Pass 2:
  Compare -45 and -78
  Swap -45 and -78
  List after swap: [-78, -45, -3, -25, 48, 35, 33, -9, 10, 97]
  Compare -45 and -3
  No swap needed
  Compare -3 and -25
  Swap -3 and -25
  List after swap: [-78, -45, -25, -3, 48, 35, 33, -9, 10, 97]
  Compare -3 and 48
  No swap needed
  Compare 48 and 35
  Swap 48 and 35
  List after swap: [-78, -45, -25, -3, 35, 48, 33, -9, 10, 97]
  Compare 48 and 33
  Swap 48 and 33
  List after swap: [-78, -45, -25, -3, 35, 33, 48, -9, 10, 97]
  Compare 48 and -9
  Swap 48 and -9
  List after swap: [-78, -45, -25, -3, 35, 33, -9, 48, 10, 97]
  Compare 48 and 10
  Swap 48 and 10
  List after swap: [-78, -45, -25, -3, 35, 33, -9, 10, 48, 97]

Pass 3:
  Compare -78 and -45
  No swap needed
  Compare -45 and -25
  No swap needed
  Compare -25 and -3
  No swap needed
  Compare -3 and 35
  No swap needed
  Compare 35 and 33
  Swap 35 and 33
  List after swap: [-78, -45, -25, -3, 33, 35, -9, 10, 48, 97]
  Compare 35 and -9
  Swap 35 and -9
  List after swap: [-78, -45, -25, -3, 33, -9, 35, 10, 48, 97]
  Compare 35 and 10
  Swap 35 and 10
  List after swap: [-78, -45, -25, -3, 33, -9, 10, 35, 48, 97]

Pass 4:
  Compare -78 and -45
  No swap needed
  Compare -45 and -25
  No swap needed
  Compare -25 and -3
  No swap needed
  Compare -3 and 33
  No swap needed
  Compare 33 and -9
  Swap 33 and -9
  List after swap: [-78, -45, -25, -3, -9, 33, 10, 35, 48, 97]
  Compare 33 and 10
  Swap 33 and 10
  List after swap: [-78, -45, -25, -3, -9, 10, 33, 35, 48, 97]

Pass 5:
  Compare -78 and -45
  No swap needed
  Compare -45 and -25
  No swap needed
  Compare -25 and -3
  No swap needed
  Compare -3 and -9
  Swap -3 and -9
  List after swap: [-78, -45, -25, -9, -3, 10, 33, 35, 48, 97]
  Compare -3 and 10
  No swap needed

Pass 6:
  Compare -78 and -45
  No swap needed
  Compare -45 and -25
  No swap needed
  Compare -25 and -9
  No swap needed
  Compare -9 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -45, -25, -9, -3, 10, 33, 35, 48, 97]
</think>

<response>-78, -45, -25, -9, -3, 10, 33, 35, 48, 97</response>


input: Using the bubble sort method, sort 63, 46, 40, -86, -25, 25, 37, 73, 69, -62 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [63, 46, 40, -86, -25, 25, 37, 73, 69, -62]

Pass 1:
  Compare 63 and 46
  Swap 63 and 46
  List after swap: [46, 63, 40, -86, -25, 25, 37, 73, 69, -62]
  Compare 63 and 40
  Swap 63 and 40
  List after swap: [46, 40, 63, -86, -25, 25, 37, 73, 69, -62]
  Compare 63 and -86
  Swap 63 and -86
  List after swap: [46, 40, -86, 63, -25, 25, 37, 73, 69, -62]
  Compare 63 and -25
  Swap 63 and -25
  List after swap: [46, 40, -86, -25, 63, 25, 37, 73, 69, -62]
  Compare 63 and 25
  Swap 63 and 25
  List after swap: [46, 40, -86, -25, 25, 63, 37, 73, 69, -62]
  Compare 63 and 37
  Swap 63 and 37
  List after swap: [46, 40, -86, -25, 25, 37, 63, 73, 69, -62]
  Compare 63 and 73
  No swap needed
  Compare 73 and 69
  Swap 73 and 69
  List after swap: [46, 40, -86, -25, 25, 37, 63, 69, 73, -62]
  Compare 73 and -62
  Swap 73 and -62
  List after swap: [46, 40, -86, -25, 25, 37, 63, 69, -62, 73]

Pass 2:
  Compare 46 and 40
  Swap 46 and 40
  List after swap: [40, 46, -86, -25, 25, 37, 63, 69, -62, 73]
  Compare 46 and -86
  Swap 46 and -86
  List after swap: [40, -86, 46, -25, 25, 37, 63, 69, -62, 73]
  Compare 46 and -25
  Swap 46 and -25
  List after swap: [40, -86, -25, 46, 25, 37, 63, 69, -62, 73]
  Compare 46 and 25
  Swap 46 and 25
  List after swap: [40, -86, -25, 25, 46, 37, 63, 69, -62, 73]
  Compare 46 and 37
  Swap 46 and 37
  List after swap: [40, -86, -25, 25, 37, 46, 63, 69, -62, 73]
  Compare 46 and 63
  No swap needed
  Compare 63 and 69
  No swap needed
  Compare 69 and -62
  Swap 69 and -62
  List after swap: [40, -86, -25, 25, 37, 46, 63, -62, 69, 73]

Pass 3:
  Compare 40 and -86
  Swap 40 and -86
  List after swap: [-86, 40, -25, 25, 37, 46, 63, -62, 69, 73]
  Compare 40 and -25
  Swap 40 and -25
  List after swap: [-86, -25, 40, 25, 37, 46, 63, -62, 69, 73]
  Compare 40 and 25
  Swap 40 and 25
  List after swap: [-86, -25, 25, 40, 37, 46, 63, -62, 69, 73]
  Compare 40 and 37
  Swap 40 and 37
  List after swap: [-86, -25, 25, 37, 40, 46, 63, -62, 69, 73]
  Compare 40 and 46
  No swap needed
  Compare 46 and 63
  No swap needed
  Compare 63 and -62
  Swap 63 and -62
  List after swap: [-86, -25, 25, 37, 40, 46, -62, 63, 69, 73]

Pass 4:
  Compare -86 and -25
  No swap needed
  Compare -25 and 25
  No swap needed
  Compare 25 and 37
  No swap needed
  Compare 37 and 40
  No swap needed
  Compare 40 and 46
  No swap needed
  Compare 46 and -62
  Swap 46 and -62
  List after swap: [-86, -25, 25, 37, 40, -62, 46, 63, 69, 73]

Pass 5:
  Compare -86 and -25
  No swap needed
  Compare -25 and 25
  No swap needed
  Compare 25 and 37
  No swap needed
  Compare 37 and 40
  No swap needed
  Compare 40 and -62
  Swap 40 and -62
  List after swap: [-86, -25, 25, 37, -62, 40, 46, 63, 69, 73]

Pass 6:
  Compare -86 and -25
  No swap needed
  Compare -25 and 25
  No swap needed
  Compare 25 and 37
  No swap needed
  Compare 37 and -62
  Swap 37 and -62
  List after swap: [-86, -25, 25, -62, 37, 40, 46, 63, 69, 73]

Pass 7:
  Compare -86 and -25
  No swap needed
  Compare -25 and 25
  No swap needed
  Compare 25 and -62
  Swap 25 and -62
  List after swap: [-86, -25, -62, 25, 37, 40, 46, 63, 69, 73]

Pass 8:
  Compare -86 and -25
  No swap needed
  Compare -25 and -62
  Swap -25 and -62
  List after swap: [-86, -62, -25, 25, 37, 40, 46, 63, 69, 73]

Pass 9:
  Compare -86 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -62, -25, 25, 37, 40, 46, 63, 69, 73]
</think>

<response>-86, -62, -25, 25, 37, 40, 46, 63, 69, 73</response>


input: Using the bubble sort method, sort -76, 88, 25, -67, -97, 93 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-76, 88, 25, -67, -97, 93]

Pass 1:
  Compare -76 and 88
  No swap needed
  Compare 88 and 25
  Swap 88 and 25
  List after swap: [-76, 25, 88, -67, -97, 93]
  Compare 88 and -67
  Swap 88 and -67
  List after swap: [-76, 25, -67, 88, -97, 93]
  Compare 88 and -97
  Swap 88 and -97
  List after swap: [-76, 25, -67, -97, 88, 93]
  Compare 88 and 93
  No swap needed

Pass 2:
  Compare -76 and 25
  No swap needed
  Compare 25 and -67
  Swap 25 and -67
  List after swap: [-76, -67, 25, -97, 88, 93]
  Compare 25 and -97
  Swap 25 and -97
  List after swap: [-76, -67, -97, 25, 88, 93]
  Compare 25 and 88
  No swap needed

Pass 3:
  Compare -76 and -67
  No swap needed
  Compare -67 and -97
  Swap -67 and -97
  List after swap: [-76, -97, -67, 25, 88, 93]
  Compare -67 and 25
  No swap needed

Pass 4:
  Compare -76 and -97
  Swap -76 and -97
  List after swap: [-97, -76, -67, 25, 88, 93]
  Compare -76 and -67
  No swap needed

Pass 5:
  Compare -97 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -76, -67, 25, 88, 93]
</think>

<response>-97, -76, -67, 25, 88, 93</response>


input: Carry out the bubble sort algorithm on -9, -58, -86, 88, -21, 90, -31 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-9, -58, -86, 88, -21, 90, -31]

Pass 1:
  Compare -9 and -58
  Swap -9 and -58
  List after swap: [-58, -9, -86, 88, -21, 90, -31]
  Compare -9 and -86
  Swap -9 and -86
  List after swap: [-58, -86, -9, 88, -21, 90, -31]
  Compare -9 and 88
  No swap needed
  Compare 88 and -21
  Swap 88 and -21
  List after swap: [-58, -86, -9, -21, 88, 90, -31]
  Compare 88 and 90
  No swap needed
  Compare 90 and -31
  Swap 90 and -31
  List after swap: [-58, -86, -9, -21, 88, -31, 90]

Pass 2:
  Compare -58 and -86
  Swap -58 and -86
  List after swap: [-86, -58, -9, -21, 88, -31, 90]
  Compare -58 and -9
  No swap needed
  Compare -9 and -21
  Swap -9 and -21
  List after swap: [-86, -58, -21, -9, 88, -31, 90]
  Compare -9 and 88
  No swap needed
  Compare 88 and -31
  Swap 88 and -31
  List after swap: [-86, -58, -21, -9, -31, 88, 90]

Pass 3:
  Compare -86 and -58
  No swap needed
  Compare -58 and -21
  No swap needed
  Compare -21 and -9
  No swap needed
  Compare -9 and -31
  Swap -9 and -31
  List after swap: [-86, -58, -21, -31, -9, 88, 90]

Pass 4:
  Compare -86 and -58
  No swap needed
  Compare -58 and -21
  No swap needed
  Compare -21 and -31
  Swap -21 and -31
  List after swap: [-86, -58, -31, -21, -9, 88, 90]

Pass 5:
  Compare -86 and -58
  No swap needed
  Compare -58 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -58, -31, -21, -9, 88, 90]
</think>

<response>-86, -58, -31, -21, -9, 88, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -2, -60, -76, 25, -15.

output:
<think>
Initial list: [-2, -60, -76, 25, -15]

Pass 1:
  Compare -2 and -60
  Swap -2 and -60
  List after swap: [-60, -2, -76, 25, -15]
  Compare -2 and -76
  Swap -2 and -76
  List after swap: [-60, -76, -2, 25, -15]
  Compare -2 and 25
  No swap needed
  Compare 25 and -15
  Swap 25 and -15
  List after swap: [-60, -76, -2, -15, 25]

Pass 2:
  Compare -60 and -76
  Swap -60 and -76
  List after swap: [-76, -60, -2, -15, 25]
  Compare -60 and -2
  No swap needed
  Compare -2 and -15
  Swap -2 and -15
  List after swap: [-76, -60, -15, -2, 25]

Pass 3:
  Compare -76 and -60
  No swap needed
  Compare -60 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -60, -15, -2, 25]
</think>

<response>-76, -60, -15, -2, 25</response>


input: Demonstrate how bubble sort orders the integers -80, 60, 98, 48, 94, -4, 56, 81, 38, 75 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-80, 60, 98, 48, 94, -4, 56, 81, 38, 75]

Pass 1:
  Compare -80 and 60
  No swap needed
  Compare 60 and 98
  No swap needed
  Compare 98 and 48
  Swap 98 and 48
  List after swap: [-80, 60, 48, 98, 94, -4, 56, 81, 38, 75]
  Compare 98 and 94
  Swap 98 and 94
  List after swap: [-80, 60, 48, 94, 98, -4, 56, 81, 38, 75]
  Compare 98 and -4
  Swap 98 and -4
  List after swap: [-80, 60, 48, 94, -4, 98, 56, 81, 38, 75]
  Compare 98 and 56
  Swap 98 and 56
  List after swap: [-80, 60, 48, 94, -4, 56, 98, 81, 38, 75]
  Compare 98 and 81
  Swap 98 and 81
  List after swap: [-80, 60, 48, 94, -4, 56, 81, 98, 38, 75]
  Compare 98 and 38
  Swap 98 and 38
  List after swap: [-80, 60, 48, 94, -4, 56, 81, 38, 98, 75]
  Compare 98 and 75
  Swap 98 and 75
  List after swap: [-80, 60, 48, 94, -4, 56, 81, 38, 75, 98]

Pass 2:
  Compare -80 and 60
  No swap needed
  Compare 60 and 48
  Swap 60 and 48
  List after swap: [-80, 48, 60, 94, -4, 56, 81, 38, 75, 98]
  Compare 60 and 94
  No swap needed
  Compare 94 and -4
  Swap 94 and -4
  List after swap: [-80, 48, 60, -4, 94, 56, 81, 38, 75, 98]
  Compare 94 and 56
  Swap 94 and 56
  List after swap: [-80, 48, 60, -4, 56, 94, 81, 38, 75, 98]
  Compare 94 and 81
  Swap 94 and 81
  List after swap: [-80, 48, 60, -4, 56, 81, 94, 38, 75, 98]
  Compare 94 and 38
  Swap 94 and 38
  List after swap: [-80, 48, 60, -4, 56, 81, 38, 94, 75, 98]
  Compare 94 and 75
  Swap 94 and 75
  List after swap: [-80, 48, 60, -4, 56, 81, 38, 75, 94, 98]

Pass 3:
  Compare -80 and 48
  No swap needed
  Compare 48 and 60
  No swap needed
  Compare 60 and -4
  Swap 60 and -4
  List after swap: [-80, 48, -4, 60, 56, 81, 38, 75, 94, 98]
  Compare 60 and 56
  Swap 60 and 56
  List after swap: [-80, 48, -4, 56, 60, 81, 38, 75, 94, 98]
  Compare 60 and 81
  No swap needed
  Compare 81 and 38
  Swap 81 and 38
  List after swap: [-80, 48, -4, 56, 60, 38, 81, 75, 94, 98]
  Compare 81 and 75
  Swap 81 and 75
  List after swap: [-80, 48, -4, 56, 60, 38, 75, 81, 94, 98]

Pass 4:
  Compare -80 and 48
  No swap needed
  Compare 48 and -4
  Swap 48 and -4
  List after swap: [-80, -4, 48, 56, 60, 38, 75, 81, 94, 98]
  Compare 48 and 56
  No swap needed
  Compare 56 and 60
  No swap needed
  Compare 60 and 38
  Swap 60 and 38
  List after swap: [-80, -4, 48, 56, 38, 60, 75, 81, 94, 98]
  Compare 60 and 75
  No swap needed

Pass 5:
  Compare -80 and -4
  No swap needed
  Compare -4 and 48
  No swap needed
  Compare 48 and 56
  No swap needed
  Compare 56 and 38
  Swap 56 and 38
  List after swap: [-80, -4, 48, 38, 56, 60, 75, 81, 94, 98]
  Compare 56 and 60
  No swap needed

Pass 6:
  Compare -80 and -4
  No swap needed
  Compare -4 and 48
  No swap needed
  Compare 48 and 38
  Swap 48 and 38
  List after swap: [-80, -4, 38, 48, 56, 60, 75, 81, 94, 98]
  Compare 48 and 56
  No swap needed

Pass 7:
  Compare -80 and -4
  No swap needed
  Compare -4 and 38
  No swap needed
  Compare 38 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -4, 38, 48, 56, 60, 75, 81, 94, 98]
</think>

<response>-80, -4, 38, 48, 56, 60, 75, 81, 94, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -9, 36, -14, -49, 64, -84, -75.

output:
<think>
Initial list: [-9, 36, -14, -49, 64, -84, -75]

Pass 1:
  Compare -9 and 36
  No swap needed
  Compare 36 and -14
  Swap 36 and -14
  List after swap: [-9, -14, 36, -49, 64, -84, -75]
  Compare 36 and -49
  Swap 36 and -49
  List after swap: [-9, -14, -49, 36, 64, -84, -75]
  Compare 36 and 64
  No swap needed
  Compare 64 and -84
  Swap 64 and -84
  List after swap: [-9, -14, -49, 36, -84, 64, -75]
  Compare 64 and -75
  Swap 64 and -75
  List after swap: [-9, -14, -49, 36, -84, -75, 64]

Pass 2:
  Compare -9 and -14
  Swap -9 and -14
  List after swap: [-14, -9, -49, 36, -84, -75, 64]
  Compare -9 and -49
  Swap -9 and -49
  List after swap: [-14, -49, -9, 36, -84, -75, 64]
  Compare -9 and 36
  No swap needed
  Compare 36 and -84
  Swap 36 and -84
  List after swap: [-14, -49, -9, -84, 36, -75, 64]
  Compare 36 and -75
  Swap 36 and -75
  List after swap: [-14, -49, -9, -84, -75, 36, 64]

Pass 3:
  Compare -14 and -49
  Swap -14 and -49
  List after swap: [-49, -14, -9, -84, -75, 36, 64]
  Compare -14 and -9
  No swap needed
  Compare -9 and -84
  Swap -9 and -84
  List after swap: [-49, -14, -84, -9, -75, 36, 64]
  Compare -9 and -75
  Swap -9 and -75
  List after swap: [-49, -14, -84, -75, -9, 36, 64]

Pass 4:
  Compare -49 and -14
  No swap needed
  Compare -14 and -84
  Swap -14 and -84
  List after swap: [-49, -84, -14, -75, -9, 36, 64]
  Compare -14 and -75
  Swap -14 and -75
  List after swap: [-49, -84, -75, -14, -9, 36, 64]

Pass 5:
  Compare -49 and -84
  Swap -49 and -84
  List after swap: [-84, -49, -75, -14, -9, 36, 64]
  Compare -49 and -75
  Swap -49 and -75
  List after swap: [-84, -75, -49, -14, -9, 36, 64]

Pass 6:
  Compare -84 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -75, -49, -14, -9, 36, 64]
</think>

<response>-84, -75, -49, -14, -9, 36, 64</response>


input: Perform a bubble sort on the integers -18, -88, 9, 45, -85, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-18, -88, 9, 45, -85]

Pass 1:
  Compare -18 and -88
  Swap -18 and -88
  List after swap: [-88, -18, 9, 45, -85]
  Compare -18 and 9
  No swap needed
  Compare 9 and 45
  No swap needed
  Compare 45 and -85
  Swap 45 and -85
  List after swap: [-88, -18, 9, -85, 45]

Pass 2:
  Compare -88 and -18
  No swap needed
  Compare -18 and 9
  No swap needed
  Compare 9 and -85
  Swap 9 and -85
  List after swap: [-88, -18, -85, 9, 45]

Pass 3:
  Compare -88 and -18
  No swap needed
  Compare -18 and -85
  Swap -18 and -85
  List after swap: [-88, -85, -18, 9, 45]

Pass 4:
  Compare -88 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -85, -18, 9, 45]
</think>

<response>-88, -85, -18, 9, 45</response>


input: Execute bubble sort to sort 30, 15 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [30, 15]

Pass 1:
  Compare 30 and 15
  Swap 30 and 15
  List after swap: [15, 30]

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

Final sorted list: [15, 30]
</think>

<response>15, 30</response>


input: Carry out the bubble sort algorithm on -78, 21, 49, -81, 80, 63, -19, -56 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-78, 21, 49, -81, 80, 63, -19, -56]

Pass 1:
  Compare -78 and 21
  No swap needed
  Compare 21 and 49
  No swap needed
  Compare 49 and -81
  Swap 49 and -81
  List after swap: [-78, 21, -81, 49, 80, 63, -19, -56]
  Compare 49 and 80
  No swap needed
  Compare 80 and 63
  Swap 80 and 63
  List after swap: [-78, 21, -81, 49, 63, 80, -19, -56]
  Compare 80 and -19
  Swap 80 and -19
  List after swap: [-78, 21, -81, 49, 63, -19, 80, -56]
  Compare 80 and -56
  Swap 80 and -56
  List after swap: [-78, 21, -81, 49, 63, -19, -56, 80]

Pass 2:
  Compare -78 and 21
  No swap needed
  Compare 21 and -81
  Swap 21 and -81
  List after swap: [-78, -81, 21, 49, 63, -19, -56, 80]
  Compare 21 and 49
  No swap needed
  Compare 49 and 63
  No swap needed
  Compare 63 and -19
  Swap 63 and -19
  List after swap: [-78, -81, 21, 49, -19, 63, -56, 80]
  Compare 63 and -56
  Swap 63 and -56
  List after swap: [-78, -81, 21, 49, -19, -56, 63, 80]

Pass 3:
  Compare -78 and -81
  Swap -78 and -81
  List after swap: [-81, -78, 21, 49, -19, -56, 63, 80]
  Compare -78 and 21
  No swap needed
  Compare 21 and 49
  No swap needed
  Compare 49 and -19
  Swap 49 and -19
  List after swap: [-81, -78, 21, -19, 49, -56, 63, 80]
  Compare 49 and -56
  Swap 49 and -56
  List after swap: [-81, -78, 21, -19, -56, 49, 63, 80]

Pass 4:
  Compare -81 and -78
  No swap needed
  Compare -78 and 21
  No swap needed
  Compare 21 and -19
  Swap 21 and -19
  List after swap: [-81, -78, -19, 21, -56, 49, 63, 80]
  Compare 21 and -56
  Swap 21 and -56
  List after swap: [-81, -78, -19, -56, 21, 49, 63, 80]

Pass 5:
  Compare -81 and -78
  No swap needed
  Compare -78 and -19
  No swap needed
  Compare -19 and -56
  Swap -19 and -56
  List after swap: [-81, -78, -56, -19, 21, 49, 63, 80]

Pass 6:
  Compare -81 and -78
  No swap needed
  Compare -78 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -78, -56, -19, 21, 49, 63, 80]
</think>

<response>-81, -78, -56, -19, 21, 49, 63, 80</response>


input: Using the bubble sort method, sort -45, 86, 23, -75, -49, -29, 59 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-45, 86, 23, -75, -49, -29, 59]

Pass 1:
  Compare -45 and 86
  No swap needed
  Compare 86 and 23
  Swap 86 and 23
  List after swap: [-45, 23, 86, -75, -49, -29, 59]
  Compare 86 and -75
  Swap 86 and -75
  List after swap: [-45, 23, -75, 86, -49, -29, 59]
  Compare 86 and -49
  Swap 86 and -49
  List after swap: [-45, 23, -75, -49, 86, -29, 59]
  Compare 86 and -29
  Swap 86 and -29
  List after swap: [-45, 23, -75, -49, -29, 86, 59]
  Compare 86 and 59
  Swap 86 and 59
  List after swap: [-45, 23, -75, -49, -29, 59, 86]

Pass 2:
  Compare -45 and 23
  No swap needed
  Compare 23 and -75
  Swap 23 and -75
  List after swap: [-45, -75, 23, -49, -29, 59, 86]
  Compare 23 and -49
  Swap 23 and -49
  List after swap: [-45, -75, -49, 23, -29, 59, 86]
  Compare 23 and -29
  Swap 23 and -29
  List after swap: [-45, -75, -49, -29, 23, 59, 86]
  Compare 23 and 59
  No swap needed

Pass 3:
  Compare -45 and -75
  Swap -45 and -75
  List after swap: [-75, -45, -49, -29, 23, 59, 86]
  Compare -45 and -49
  Swap -45 and -49
  List after swap: [-75, -49, -45, -29, 23, 59, 86]
  Compare -45 and -29
  No swap needed
  Compare -29 and 23
  No swap needed

Pass 4:
  Compare -75 and -49
  No swap needed
  Compare -49 and -45
  No swap needed
  Compare -45 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -49, -45, -29, 23, 59, 86]
</think>

<response>-75, -49, -45, -29, 23, 59, 86</response>


input: Implement bubble sort on 47, 42, 70, 83, -26, -64, 77, -6 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [47, 42, 70, 83, -26, -64, 77, -6]

Pass 1:
  Compare 47 and 42
  Swap 47 and 42
  List after swap: [42, 47, 70, 83, -26, -64, 77, -6]
  Compare 47 and 70
  No swap needed
  Compare 70 and 83
  No swap needed
  Compare 83 and -26
  Swap 83 and -26
  List after swap: [42, 47, 70, -26, 83, -64, 77, -6]
  Compare 83 and -64
  Swap 83 and -64
  List after swap: [42, 47, 70, -26, -64, 83, 77, -6]
  Compare 83 and 77
  Swap 83 and 77
  List after swap: [42, 47, 70, -26, -64, 77, 83, -6]
  Compare 83 and -6
  Swap 83 and -6
  List after swap: [42, 47, 70, -26, -64, 77, -6, 83]

Pass 2:
  Compare 42 and 47
  No swap needed
  Compare 47 and 70
  No swap needed
  Compare 70 and -26
  Swap 70 and -26
  List after swap: [42, 47, -26, 70, -64, 77, -6, 83]
  Compare 70 and -64
  Swap 70 and -64
  List after swap: [42, 47, -26, -64, 70, 77, -6, 83]
  Compare 70 and 77
  No swap needed
  Compare 77 and -6
  Swap 77 and -6
  List after swap: [42, 47, -26, -64, 70, -6, 77, 83]

Pass 3:
  Compare 42 and 47
  No swap needed
  Compare 47 and -26
  Swap 47 and -26
  List after swap: [42, -26, 47, -64, 70, -6, 77, 83]
  Compare 47 and -64
  Swap 47 and -64
  List after swap: [42, -26, -64, 47, 70, -6, 77, 83]
  Compare 47 and 70
  No swap needed
  Compare 70 and -6
  Swap 70 and -6
  List after swap: [42, -26, -64, 47, -6, 70, 77, 83]

Pass 4:
  Compare 42 and -26
  Swap 42 and -26
  List after swap: [-26, 42, -64, 47, -6, 70, 77, 83]
  Compare 42 and -64
  Swap 42 and -64
  List after swap: [-26, -64, 42, 47, -6, 70, 77, 83]
  Compare 42 and 47
  No swap needed
  Compare 47 and -6
  Swap 47 and -6
  List after swap: [-26, -64, 42, -6, 47, 70, 77, 83]

Pass 5:
  Compare -26 and -64
  Swap -26 and -64
  List after swap: [-64, -26, 42, -6, 47, 70, 77, 83]
  Compare -26 and 42
  No swap needed
  Compare 42 and -6
  Swap 42 and -6
  List after swap: [-64, -26, -6, 42, 47, 70, 77, 83]

Pass 6:
  Compare -64 and -26
  No swap needed
  Compare -26 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -26, -6, 42, 47, 70, 77, 83]
</think>

<response>-64, -26, -6, 42, 47, 70, 77, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -98, -96, 5, 66.

output:
<think>
Initial list: [-98, -96, 5, 66]

Pass 1:
  Compare -98 and -96
  No swap needed
  Compare -96 and 5
  No swap needed
  Compare 5 and 66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -96, 5, 66]
</think>

<response>-98, -96, 5, 66</response>


input: Using the bubble sort method, sort -37, -1, 37, -14, -94, -64, 51 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-37, -1, 37, -14, -94, -64, 51]

Pass 1:
  Compare -37 and -1
  No swap needed
  Compare -1 and 37
  No swap needed
  Compare 37 and -14
  Swap 37 and -14
  List after swap: [-37, -1, -14, 37, -94, -64, 51]
  Compare 37 and -94
  Swap 37 and -94
  List after swap: [-37, -1, -14, -94, 37, -64, 51]
  Compare 37 and -64
  Swap 37 and -64
  List after swap: [-37, -1, -14, -94, -64, 37, 51]
  Compare 37 and 51
  No swap needed

Pass 2:
  Compare -37 and -1
  No swap needed
  Compare -1 and -14
  Swap -1 and -14
  List after swap: [-37, -14, -1, -94, -64, 37, 51]
  Compare -1 and -94
  Swap -1 and -94
  List after swap: [-37, -14, -94, -1, -64, 37, 51]
  Compare -1 and -64
  Swap -1 and -64
  List after swap: [-37, -14, -94, -64, -1, 37, 51]
  Compare -1 and 37
  No swap needed

Pass 3:
  Compare -37 and -14
  No swap needed
  Compare -14 and -94
  Swap -14 and -94
  List after swap: [-37, -94, -14, -64, -1, 37, 51]
  Compare -14 and -64
  Swap -14 and -64
  List after swap: [-37, -94, -64, -14, -1, 37, 51]
  Compare -14 and -1
  No swap needed

Pass 4:
  Compare -37 and -94
  Swap -37 and -94
  List after swap: [-94, -37, -64, -14, -1, 37, 51]
  Compare -37 and -64
  Swap -37 and -64
  List after swap: [-94, -64, -37, -14, -1, 37, 51]
  Compare -37 and -14
  No swap needed

Pass 5:
  Compare -94 and -64
  No swap needed
  Compare -64 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -64, -37, -14, -1, 37, 51]
</think>

<response>-94, -64, -37, -14, -1, 37, 51</response>


input: Carry out the bubble sort algorithm on -56, 35, 81 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-56, 35, 81]

Pass 1:
  Compare -56 and 35
  No swap needed
  Compare 35 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, 35, 81]
</think>

<response>-56, 35, 81</response>


input: Sort these integers 92, -65, -93, 74, 87 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [92, -65, -93, 74, 87]

Pass 1:
  Compare 92 and -65
  Swap 92 and -65
  List after swap: [-65, 92, -93, 74, 87]
  Compare 92 and -93
  Swap 92 and -93
  List after swap: [-65, -93, 92, 74, 87]
  Compare 92 and 74
  Swap 92 and 74
  List after swap: [-65, -93, 74, 92, 87]
  Compare 92 and 87
  Swap 92 and 87
  List after swap: [-65, -93, 74, 87, 92]

Pass 2:
  Compare -65 and -93
  Swap -65 and -93
  List after swap: [-93, -65, 74, 87, 92]
  Compare -65 and 74
  No swap needed
  Compare 74 and 87
  No swap needed

Pass 3:
  Compare -93 and -65
  No swap needed
  Compare -65 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -65, 74, 87, 92]
</think>

<response>-93, -65, 74, 87, 92</response>


input: Implement bubble sort on 78, -42, 51, 80 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [78, -42, 51, 80]

Pass 1:
  Compare 78 and -42
  Swap 78 and -42
  List after swap: [-42, 78, 51, 80]
  Compare 78 and 51
  Swap 78 and 51
  List after swap: [-42, 51, 78, 80]
  Compare 78 and 80
  No swap needed

Pass 2:
  Compare -42 and 51
  No swap needed
  Compare 51 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, 51, 78, 80]
</think>

<response>-42, 51, 78, 80</response>


input: Arrange the numbers 28, 19, -56, 13, -31, 2, -40, 96, -16, -23 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [28, 19, -56, 13, -31, 2, -40, 96, -16, -23]

Pass 1:
  Compare 28 and 19
  Swap 28 and 19
  List after swap: [19, 28, -56, 13, -31, 2, -40, 96, -16, -23]
  Compare 28 and -56
  Swap 28 and -56
  List after swap: [19, -56, 28, 13, -31, 2, -40, 96, -16, -23]
  Compare 28 and 13
  Swap 28 and 13
  List after swap: [19, -56, 13, 28, -31, 2, -40, 96, -16, -23]
  Compare 28 and -31
  Swap 28 and -31
  List after swap: [19, -56, 13, -31, 28, 2, -40, 96, -16, -23]
  Compare 28 and 2
  Swap 28 and 2
  List after swap: [19, -56, 13, -31, 2, 28, -40, 96, -16, -23]
  Compare 28 and -40
  Swap 28 and -40
  List after swap: [19, -56, 13, -31, 2, -40, 28, 96, -16, -23]
  Compare 28 and 96
  No swap needed
  Compare 96 and -16
  Swap 96 and -16
  List after swap: [19, -56, 13, -31, 2, -40, 28, -16, 96, -23]
  Compare 96 and -23
  Swap 96 and -23
  List after swap: [19, -56, 13, -31, 2, -40, 28, -16, -23, 96]

Pass 2:
  Compare 19 and -56
  Swap 19 and -56
  List after swap: [-56, 19, 13, -31, 2, -40, 28, -16, -23, 96]
  Compare 19 and 13
  Swap 19 and 13
  List after swap: [-56, 13, 19, -31, 2, -40, 28, -16, -23, 96]
  Compare 19 and -31
  Swap 19 and -31
  List after swap: [-56, 13, -31, 19, 2, -40, 28, -16, -23, 96]
  Compare 19 and 2
  Swap 19 and 2
  List after swap: [-56, 13, -31, 2, 19, -40, 28, -16, -23, 96]
  Compare 19 and -40
  Swap 19 and -40
  List after swap: [-56, 13, -31, 2, -40, 19, 28, -16, -23, 96]
  Compare 19 and 28
  No swap needed
  Compare 28 and -16
  Swap 28 and -16
  List after swap: [-56, 13, -31, 2, -40, 19, -16, 28, -23, 96]
  Compare 28 and -23
  Swap 28 and -23
  List after swap: [-56, 13, -31, 2, -40, 19, -16, -23, 28, 96]

Pass 3:
  Compare -56 and 13
  No swap needed
  Compare 13 and -31
  Swap 13 and -31
  List after swap: [-56, -31, 13, 2, -40, 19, -16, -23, 28, 96]
  Compare 13 and 2
  Swap 13 and 2
  List after swap: [-56, -31, 2, 13, -40, 19, -16, -23, 28, 96]
  Compare 13 and -40
  Swap 13 and -40
  List after swap: [-56, -31, 2, -40, 13, 19, -16, -23, 28, 96]
  Compare 13 and 19
  No swap needed
  Compare 19 and -16
  Swap 19 and -16
  List after swap: [-56, -31, 2, -40, 13, -16, 19, -23, 28, 96]
  Compare 19 and -23
  Swap 19 and -23
  List after swap: [-56, -31, 2, -40, 13, -16, -23, 19, 28, 96]

Pass 4:
  Compare -56 and -31
  No swap needed
  Compare -31 and 2
  No swap needed
  Compare 2 and -40
  Swap 2 and -40
  List after swap: [-56, -31, -40, 2, 13, -16, -23, 19, 28, 96]
  Compare 2 and 13
  No swap needed
  Compare 13 and -16
  Swap 13 and -16
  List after swap: [-56, -31, -40, 2, -16, 13, -23, 19, 28, 96]
  Compare 13 and -23
  Swap 13 and -23
  List after swap: [-56, -31, -40, 2, -16, -23, 13, 19, 28, 96]

Pass 5:
  Compare -56 and -31
  No swap needed
  Compare -31 and -40
  Swap -31 and -40
  List after swap: [-56, -40, -31, 2, -16, -23, 13, 19, 28, 96]
  Compare -31 and 2
  No swap needed
  Compare 2 and -16
  Swap 2 and -16
  List after swap: [-56, -40, -31, -16, 2, -23, 13, 19, 28, 96]
  Compare 2 and -23
  Swap 2 and -23
  List after swap: [-56, -40, -31, -16, -23, 2, 13, 19, 28, 96]

Pass 6:
  Compare -56 and -40
  No swap needed
  Compare -40 and -31
  No swap needed
  Compare -31 and -16
  No swap needed
  Compare -16 and -23
  Swap -16 and -23
  List after swap: [-56, -40, -31, -23, -16, 2, 13, 19, 28, 96]

Pass 7:
  Compare -56 and -40
  No swap needed
  Compare -40 and -31
  No swap needed
  Compare -31 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -40, -31, -23, -16, 2, 13, 19, 28, 96]
</think>

<response>-56, -40, -31, -23, -16, 2, 13, 19, 28, 96</response>


input: Demonstrate how bubble sort orders the integers 63, 53, -51, 30, 21 in ascending sequence, showing all steps.

output:
<think>
Initial list: [63, 53, -51, 30, 21]

Pass 1:
  Compare 63 and 53
  Swap 63 and 53
  List after swap: [53, 63, -51, 30, 21]
  Compare 63 and -51
  Swap 63 and -51
  List after swap: [53, -51, 63, 30, 21]
  Compare 63 and 30
  Swap 63 and 30
  List after swap: [53, -51, 30, 63, 21]
  Compare 63 and 21
  Swap 63 and 21
  List after swap: [53, -51, 30, 21, 63]

Pass 2:
  Compare 53 and -51
  Swap 53 and -51
  List after swap: [-51, 53, 30, 21, 63]
  Compare 53 and 30
  Swap 53 and 30
  List after swap: [-51, 30, 53, 21, 63]
  Compare 53 and 21
  Swap 53 and 21
  List after swap: [-51, 30, 21, 53, 63]

Pass 3:
  Compare -51 and 30
  No swap needed
  Compare 30 and 21
  Swap 30 and 21
  List after swap: [-51, 21, 30, 53, 63]

Pass 4:
  Compare -51 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, 21, 30, 53, 63]
</think>

<response>-51, 21, 30, 53, 63</response>


input: Execute bubble sort to sort 2, 82, -45, 31, 11, 14, -10, 66, -17 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [2, 82, -45, 31, 11, 14, -10, 66, -17]

Pass 1:
  Compare 2 and 82
  No swap needed
  Compare 82 and -45
  Swap 82 and -45
  List after swap: [2, -45, 82, 31, 11, 14, -10, 66, -17]
  Compare 82 and 31
  Swap 82 and 31
  List after swap: [2, -45, 31, 82, 11, 14, -10, 66, -17]
  Compare 82 and 11
  Swap 82 and 11
  List after swap: [2, -45, 31, 11, 82, 14, -10, 66, -17]
  Compare 82 and 14
  Swap 82 and 14
  List after swap: [2, -45, 31, 11, 14, 82, -10, 66, -17]
  Compare 82 and -10
  Swap 82 and -10
  List after swap: [2, -45, 31, 11, 14, -10, 82, 66, -17]
  Compare 82 and 66
  Swap 82 and 66
  List after swap: [2, -45, 31, 11, 14, -10, 66, 82, -17]
  Compare 82 and -17
  Swap 82 and -17
  List after swap: [2, -45, 31, 11, 14, -10, 66, -17, 82]

Pass 2:
  Compare 2 and -45
  Swap 2 and -45
  List after swap: [-45, 2, 31, 11, 14, -10, 66, -17, 82]
  Compare 2 and 31
  No swap needed
  Compare 31 and 11
  Swap 31 and 11
  List after swap: [-45, 2, 11, 31, 14, -10, 66, -17, 82]
  Compare 31 and 14
  Swap 31 and 14
  List after swap: [-45, 2, 11, 14, 31, -10, 66, -17, 82]
  Compare 31 and -10
  Swap 31 and -10
  List after swap: [-45, 2, 11, 14, -10, 31, 66, -17, 82]
  Compare 31 and 66
  No swap needed
  Compare 66 and -17
  Swap 66 and -17
  List after swap: [-45, 2, 11, 14, -10, 31, -17, 66, 82]

Pass 3:
  Compare -45 and 2
  No swap needed
  Compare 2 and 11
  No swap needed
  Compare 11 and 14
  No swap needed
  Compare 14 and -10
  Swap 14 and -10
  List after swap: [-45, 2, 11, -10, 14, 31, -17, 66, 82]
  Compare 14 and 31
  No swap needed
  Compare 31 and -17
  Swap 31 and -17
  List after swap: [-45, 2, 11, -10, 14, -17, 31, 66, 82]

Pass 4:
  Compare -45 and 2
  No swap needed
  Compare 2 and 11
  No swap needed
  Compare 11 and -10
  Swap 11 and -10
  List after swap: [-45, 2, -10, 11, 14, -17, 31, 66, 82]
  Compare 11 and 14
  No swap needed
  Compare 14 and -17
  Swap 14 and -17
  List after swap: [-45, 2, -10, 11, -17, 14, 31, 66, 82]

Pass 5:
  Compare -45 and 2
  No swap needed
  Compare 2 and -10
  Swap 2 and -10
  List after swap: [-45, -10, 2, 11, -17, 14, 31, 66, 82]
  Compare 2 and 11
  No swap needed
  Compare 11 and -17
  Swap 11 and -17
  List after swap: [-45, -10, 2, -17, 11, 14, 31, 66, 82]

Pass 6:
  Compare -45 and -10
  No swap needed
  Compare -10 and 2
  No swap needed
  Compare 2 and -17
  Swap 2 and -17
  List after swap: [-45, -10, -17, 2, 11, 14, 31, 66, 82]

Pass 7:
  Compare -45 and -10
  No swap needed
  Compare -10 and -17
  Swap -10 and -17
  List after swap: [-45, -17, -10, 2, 11, 14, 31, 66, 82]

Pass 8:
  Compare -45 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -17, -10, 2, 11, 14, 31, 66, 82]
</think>

<response>-45, -17, -10, 2, 11, 14, 31, 66, 82</response>


input: Arrange the numbers 50, 9, -28 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [50, 9, -28]

Pass 1:
  Compare 50 and 9
  Swap 50 and 9
  List after swap: [9, 50, -28]
  Compare 50 and -28
  Swap 50 and -28
  List after swap: [9, -28, 50]

Pass 2:
  Compare 9 and -28
  Swap 9 and -28
  List after swap: [-28, 9, 50]

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

Final sorted list: [-28, 9, 50]
</think>

<response>-28, 9, 50</response>


input: Carry out the bubble sort algorithm on 9, -98, 72, 11, -47, -43 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [9, -98, 72, 11, -47, -43]

Pass 1:
  Compare 9 and -98
  Swap 9 and -98
  List after swap: [-98, 9, 72, 11, -47, -43]
  Compare 9 and 72
  No swap needed
  Compare 72 and 11
  Swap 72 and 11
  List after swap: [-98, 9, 11, 72, -47, -43]
  Compare 72 and -47
  Swap 72 and -47
  List after swap: [-98, 9, 11, -47, 72, -43]
  Compare 72 and -43
  Swap 72 and -43
  List after swap: [-98, 9, 11, -47, -43, 72]

Pass 2:
  Compare -98 and 9
  No swap needed
  Compare 9 and 11
  No swap needed
  Compare 11 and -47
  Swap 11 and -47
  List after swap: [-98, 9, -47, 11, -43, 72]
  Compare 11 and -43
  Swap 11 and -43
  List after swap: [-98, 9, -47, -43, 11, 72]

Pass 3:
  Compare -98 and 9
  No swap needed
  Compare 9 and -47
  Swap 9 and -47
  List after swap: [-98, -47, 9, -43, 11, 72]
  Compare 9 and -43
  Swap 9 and -43
  List after swap: [-98, -47, -43, 9, 11, 72]

Pass 4:
  Compare -98 and -47
  No swap needed
  Compare -47 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -47, -43, 9, 11, 72]
</think>

<response>-98, -47, -43, 9, 11, 72</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 33, -16, 26, -67, -13, 67.

output:
<think>
Initial list: [33, -16, 26, -67, -13, 67]

Pass 1:
  Compare 33 and -16
  Swap 33 and -16
  List after swap: [-16, 33, 26, -67, -13, 67]
  Compare 33 and 26
  Swap 33 and 26
  List after swap: [-16, 26, 33, -67, -13, 67]
  Compare 33 and -67
  Swap 33 and -67
  List after swap: [-16, 26, -67, 33, -13, 67]
  Compare 33 and -13
  Swap 33 and -13
  List after swap: [-16, 26, -67, -13, 33, 67]
  Compare 33 and 67
  No swap needed

Pass 2:
  Compare -16 and 26
  No swap needed
  Compare 26 and -67
  Swap 26 and -67
  List after swap: [-16, -67, 26, -13, 33, 67]
  Compare 26 and -13
  Swap 26 and -13
  List after swap: [-16, -67, -13, 26, 33, 67]
  Compare 26 and 33
  No swap needed

Pass 3:
  Compare -16 and -67
  Swap -16 and -67
  List after swap: [-67, -16, -13, 26, 33, 67]
  Compare -16 and -13
  No swap needed
  Compare -13 and 26
  No swap needed

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

Final sorted list: [-67, -16, -13, 26, 33, 67]
</think>

<response>-67, -16, -13, 26, 33, 67</response>


input: Implement bubble sort on -53, -73, 4, 60, -49, 94, 74, 43, -85, 84 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-53, -73, 4, 60, -49, 94, 74, 43, -85, 84]

Pass 1:
  Compare -53 and -73
  Swap -53 and -73
  List after swap: [-73, -53, 4, 60, -49, 94, 74, 43, -85, 84]
  Compare -53 and 4
  No swap needed
  Compare 4 and 60
  No swap needed
  Compare 60 and -49
  Swap 60 and -49
  List after swap: [-73, -53, 4, -49, 60, 94, 74, 43, -85, 84]
  Compare 60 and 94
  No swap needed
  Compare 94 and 74
  Swap 94 and 74
  List after swap: [-73, -53, 4, -49, 60, 74, 94, 43, -85, 84]
  Compare 94 and 43
  Swap 94 and 43
  List after swap: [-73, -53, 4, -49, 60, 74, 43, 94, -85, 84]
  Compare 94 and -85
  Swap 94 and -85
  List after swap: [-73, -53, 4, -49, 60, 74, 43, -85, 94, 84]
  Compare 94 and 84
  Swap 94 and 84
  List after swap: [-73, -53, 4, -49, 60, 74, 43, -85, 84, 94]

Pass 2:
  Compare -73 and -53
  No swap needed
  Compare -53 and 4
  No swap needed
  Compare 4 and -49
  Swap 4 and -49
  List after swap: [-73, -53, -49, 4, 60, 74, 43, -85, 84, 94]
  Compare 4 and 60
  No swap needed
  Compare 60 and 74
  No swap needed
  Compare 74 and 43
  Swap 74 and 43
  List after swap: [-73, -53, -49, 4, 60, 43, 74, -85, 84, 94]
  Compare 74 and -85
  Swap 74 and -85
  List after swap: [-73, -53, -49, 4, 60, 43, -85, 74, 84, 94]
  Compare 74 and 84
  No swap needed

Pass 3:
  Compare -73 and -53
  No swap needed
  Compare -53 and -49
  No swap needed
  Compare -49 and 4
  No swap needed
  Compare 4 and 60
  No swap needed
  Compare 60 and 43
  Swap 60 and 43
  List after swap: [-73, -53, -49, 4, 43, 60, -85, 74, 84, 94]
  Compare 60 and -85
  Swap 60 and -85
  List after swap: [-73, -53, -49, 4, 43, -85, 60, 74, 84, 94]
  Compare 60 and 74
  No swap needed

Pass 4:
  Compare -73 and -53
  No swap needed
  Compare -53 and -49
  No swap needed
  Compare -49 and 4
  No swap needed
  Compare 4 and 43
  No swap needed
  Compare 43 and -85
  Swap 43 and -85
  List after swap: [-73, -53, -49, 4, -85, 43, 60, 74, 84, 94]
  Compare 43 and 60
  No swap needed

Pass 5:
  Compare -73 and -53
  No swap needed
  Compare -53 and -49
  No swap needed
  Compare -49 and 4
  No swap needed
  Compare 4 and -85
  Swap 4 and -85
  List after swap: [-73, -53, -49, -85, 4, 43, 60, 74, 84, 94]
  Compare 4 and 43
  No swap needed

Pass 6:
  Compare -73 and -53
  No swap needed
  Compare -53 and -49
  No swap needed
  Compare -49 and -85
  Swap -49 and -85
  List after swap: [-73, -53, -85, -49, 4, 43, 60, 74, 84, 94]
  Compare -49 and 4
  No swap needed

Pass 7:
  Compare -73 and -53
  No swap needed
  Compare -53 and -85
  Swap -53 and -85
  List after swap: [-73, -85, -53, -49, 4, 43, 60, 74, 84, 94]
  Compare -53 and -49
  No swap needed

Pass 8:
  Compare -73 and -85
  Swap -73 and -85
  List after swap: [-85, -73, -53, -49, 4, 43, 60, 74, 84, 94]
  Compare -73 and -53
  No swap needed

Pass 9:
  Compare -85 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -73, -53, -49, 4, 43, 60, 74, 84, 94]
</think>

<response>-85, -73, -53, -49, 4, 43, 60, 74, 84, 94</response>


input: Implement bubble sort on -85, 83, -73, -39, -97 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-85, 83, -73, -39, -97]

Pass 1:
  Compare -85 and 83
  No swap needed
  Compare 83 and -73
  Swap 83 and -73
  List after swap: [-85, -73, 83, -39, -97]
  Compare 83 and -39
  Swap 83 and -39
  List after swap: [-85, -73, -39, 83, -97]
  Compare 83 and -97
  Swap 83 and -97
  List after swap: [-85, -73, -39, -97, 83]

Pass 2:
  Compare -85 and -73
  No swap needed
  Compare -73 and -39
  No swap needed
  Compare -39 and -97
  Swap -39 and -97
  List after swap: [-85, -73, -97, -39, 83]

Pass 3:
  Compare -85 and -73
  No swap needed
  Compare -73 and -97
  Swap -73 and -97
  List after swap: [-85, -97, -73, -39, 83]

Pass 4:
  Compare -85 and -97
  Swap -85 and -97
  List after swap: [-97, -85, -73, -39, 83]

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

Final sorted list: [-97, -85, -73, -39, 83]
</think>

<response>-97, -85, -73, -39, 83</response>


input: Using the bubble sort method, sort -43, 53, -12, -96 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-43, 53, -12, -96]

Pass 1:
  Compare -43 and 53
  No swap needed
  Compare 53 and -12
  Swap 53 and -12
  List after swap: [-43, -12, 53, -96]
  Compare 53 and -96
  Swap 53 and -96
  List after swap: [-43, -12, -96, 53]

Pass 2:
  Compare -43 and -12
  No swap needed
  Compare -12 and -96
  Swap -12 and -96
  List after swap: [-43, -96, -12, 53]

Pass 3:
  Compare -43 and -96
  Swap -43 and -96
  List after swap: [-96, -43, -12, 53]

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

Final sorted list: [-96, -43, -12, 53]
</think>

<response>-96, -43, -12, 53</response>


input: Perform a bubble sort on the integers 92, 91, 98, -9, -20, -96, 90, -71, -92, -65, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [92, 91, 98, -9, -20, -96, 90, -71, -92, -65]

Pass 1:
  Compare 92 and 91
  Swap 92 and 91
  List after swap: [91, 92, 98, -9, -20, -96, 90, -71, -92, -65]
  Compare 92 and 98
  No swap needed
  Compare 98 and -9
  Swap 98 and -9
  List after swap: [91, 92, -9, 98, -20, -96, 90, -71, -92, -65]
  Compare 98 and -20
  Swap 98 and -20
  List after swap: [91, 92, -9, -20, 98, -96, 90, -71, -92, -65]
  Compare 98 and -96
  Swap 98 and -96
  List after swap: [91, 92, -9, -20, -96, 98, 90, -71, -92, -65]
  Compare 98 and 90
  Swap 98 and 90
  List after swap: [91, 92, -9, -20, -96, 90, 98, -71, -92, -65]
  Compare 98 and -71
  Swap 98 and -71
  List after swap: [91, 92, -9, -20, -96, 90, -71, 98, -92, -65]
  Compare 98 and -92
  Swap 98 and -92
  List after swap: [91, 92, -9, -20, -96, 90, -71, -92, 98, -65]
  Compare 98 and -65
  Swap 98 and -65
  List after swap: [91, 92, -9, -20, -96, 90, -71, -92, -65, 98]

Pass 2:
  Compare 91 and 92
  No swap needed
  Compare 92 and -9
  Swap 92 and -9
  List after swap: [91, -9, 92, -20, -96, 90, -71, -92, -65, 98]
  Compare 92 and -20
  Swap 92 and -20
  List after swap: [91, -9, -20, 92, -96, 90, -71, -92, -65, 98]
  Compare 92 and -96
  Swap 92 and -96
  List after swap: [91, -9, -20, -96, 92, 90, -71, -92, -65, 98]
  Compare 92 and 90
  Swap 92 and 90
  List after swap: [91, -9, -20, -96, 90, 92, -71, -92, -65, 98]
  Compare 92 and -71
  Swap 92 and -71
  List after swap: [91, -9, -20, -96, 90, -71, 92, -92, -65, 98]
  Compare 92 and -92
  Swap 92 and -92
  List after swap: [91, -9, -20, -96, 90, -71, -92, 92, -65, 98]
  Compare 92 and -65
  Swap 92 and -65
  List after swap: [91, -9, -20, -96, 90, -71, -92, -65, 92, 98]

Pass 3:
  Compare 91 and -9
  Swap 91 and -9
  List after swap: [-9, 91, -20, -96, 90, -71, -92, -65, 92, 98]
  Compare 91 and -20
  Swap 91 and -20
  List after swap: [-9, -20, 91, -96, 90, -71, -92, -65, 92, 98]
  Compare 91 and -96
  Swap 91 and -96
  List after swap: [-9, -20, -96, 91, 90, -71, -92, -65, 92, 98]
  Compare 91 and 90
  Swap 91 and 90
  List after swap: [-9, -20, -96, 90, 91, -71, -92, -65, 92, 98]
  Compare 91 and -71
  Swap 91 and -71
  List after swap: [-9, -20, -96, 90, -71, 91, -92, -65, 92, 98]
  Compare 91 and -92
  Swap 91 and -92
  List after swap: [-9, -20, -96, 90, -71, -92, 91, -65, 92, 98]
  Compare 91 and -65
  Swap 91 and -65
  List after swap: [-9, -20, -96, 90, -71, -92, -65, 91, 92, 98]

Pass 4:
  Compare -9 and -20
  Swap -9 and -20
  List after swap: [-20, -9, -96, 90, -71, -92, -65, 91, 92, 98]
  Compare -9 and -96
  Swap -9 and -96
  List after swap: [-20, -96, -9, 90, -71, -92, -65, 91, 92, 98]
  Compare -9 and 90
  No swap needed
  Compare 90 and -71
  Swap 90 and -71
  List after swap: [-20, -96, -9, -71, 90, -92, -65, 91, 92, 98]
  Compare 90 and -92
  Swap 90 and -92
  List after swap: [-20, -96, -9, -71, -92, 90, -65, 91, 92, 98]
  Compare 90 and -65
  Swap 90 and -65
  List after swap: [-20, -96, -9, -71, -92, -65, 90, 91, 92, 98]

Pass 5:
  Compare -20 and -96
  Swap -20 and -96
  List after swap: [-96, -20, -9, -71, -92, -65, 90, 91, 92, 98]
  Compare -20 and -9
  No swap needed
  Compare -9 and -71
  Swap -9 and -71
  List after swap: [-96, -20, -71, -9, -92, -65, 90, 91, 92, 98]
  Compare -9 and -92
  Swap -9 and -92
  List after swap: [-96, -20, -71, -92, -9, -65, 90, 91, 92, 98]
  Compare -9 and -65
  Swap -9 and -65
  List after swap: [-96, -20, -71, -92, -65, -9, 90, 91, 92, 98]

Pass 6:
  Compare -96 and -20
  No swap needed
  Compare -20 and -71
  Swap -20 and -71
  List after swap: [-96, -71, -20, -92, -65, -9, 90, 91, 92, 98]
  Compare -20 and -92
  Swap -20 and -92
  List after swap: [-96, -71, -92, -20, -65, -9, 90, 91, 92, 98]
  Compare -20 and -65
  Swap -20 and -65
  List after swap: [-96, -71, -92, -65, -20, -9, 90, 91, 92, 98]

Pass 7:
  Compare -96 and -71
  No swap needed
  Compare -71 and -92
  Swap -71 and -92
  List after swap: [-96, -92, -71, -65, -20, -9, 90, 91, 92, 98]
  Compare -71 and -65
  No swap needed

Pass 8:
  Compare -96 and -92
  No swap needed
  Compare -92 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -92, -71, -65, -20, -9, 90, 91, 92, 98]
</think>

<response>-96, -92, -71, -65, -20, -9, 90, 91, 92, 98</response>


input: Sort the list 88, 92, -51, 35, 31, 27, 0 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [88, 92, -51, 35, 31, 27, 0]

Pass 1:
  Compare 88 and 92
  No swap needed
  Compare 92 and -51
  Swap 92 and -51
  List after swap: [88, -51, 92, 35, 31, 27, 0]
  Compare 92 and 35
  Swap 92 and 35
  List after swap: [88, -51, 35, 92, 31, 27, 0]
  Compare 92 and 31
  Swap 92 and 31
  List after swap: [88, -51, 35, 31, 92, 27, 0]
  Compare 92 and 27
  Swap 92 and 27
  List after swap: [88, -51, 35, 31, 27, 92, 0]
  Compare 92 and 0
  Swap 92 and 0
  List after swap: [88, -51, 35, 31, 27, 0, 92]

Pass 2:
  Compare 88 and -51
  Swap 88 and -51
  List after swap: [-51, 88, 35, 31, 27, 0, 92]
  Compare 88 and 35
  Swap 88 and 35
  List after swap: [-51, 35, 88, 31, 27, 0, 92]
  Compare 88 and 31
  Swap 88 and 31
  List after swap: [-51, 35, 31, 88, 27, 0, 92]
  Compare 88 and 27
  Swap 88 and 27
  List after swap: [-51, 35, 31, 27, 88, 0, 92]
  Compare 88 and 0
  Swap 88 and 0
  List after swap: [-51, 35, 31, 27, 0, 88, 92]

Pass 3:
  Compare -51 and 35
  No swap needed
  Compare 35 and 31
  Swap 35 and 31
  List after swap: [-51, 31, 35, 27, 0, 88, 92]
  Compare 35 and 27
  Swap 35 and 27
  List after swap: [-51, 31, 27, 35, 0, 88, 92]
  Compare 35 and 0
  Swap 35 and 0
  List after swap: [-51, 31, 27, 0, 35, 88, 92]

Pass 4:
  Compare -51 and 31
  No swap needed
  Compare 31 and 27
  Swap 31 and 27
  List after swap: [-51, 27, 31, 0, 35, 88, 92]
  Compare 31 and 0
  Swap 31 and 0
  List after swap: [-51, 27, 0, 31, 35, 88, 92]

Pass 5:
  Compare -51 and 27
  No swap needed
  Compare 27 and 0
  Swap 27 and 0
  List after swap: [-51, 0, 27, 31, 35, 88, 92]

Pass 6:
  Compare -51 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, 0, 27, 31, 35, 88, 92]
</think>

<response>-51, 0, 27, 31, 35, 88, 92</response>


input: Implement bubble sort on -96, -21, 44, -87, -7, 60, 46 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-96, -21, 44, -87, -7, 60, 46]

Pass 1:
  Compare -96 and -21
  No swap needed
  Compare -21 and 44
  No swap needed
  Compare 44 and -87
  Swap 44 and -87
  List after swap: [-96, -21, -87, 44, -7, 60, 46]
  Compare 44 and -7
  Swap 44 and -7
  List after swap: [-96, -21, -87, -7, 44, 60, 46]
  Compare 44 and 60
  No swap needed
  Compare 60 and 46
  Swap 60 and 46
  List after swap: [-96, -21, -87, -7, 44, 46, 60]

Pass 2:
  Compare -96 and -21
  No swap needed
  Compare -21 and -87
  Swap -21 and -87
  List after swap: [-96, -87, -21, -7, 44, 46, 60]
  Compare -21 and -7
  No swap needed
  Compare -7 and 44
  No swap needed
  Compare 44 and 46
  No swap needed

Pass 3:
  Compare -96 and -87
  No swap needed
  Compare -87 and -21
  No swap needed
  Compare -21 and -7
  No swap needed
  Compare -7 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -87, -21, -7, 44, 46, 60]
</think>

<response>-96, -87, -21, -7, 44, 46, 60</response>


input: Sort these integers 31, -71, -43, 9, 13, 17, -84 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [31, -71, -43, 9, 13, 17, -84]

Pass 1:
  Compare 31 and -71
  Swap 31 and -71
  List after swap: [-71, 31, -43, 9, 13, 17, -84]
  Compare 31 and -43
  Swap 31 and -43
  List after swap: [-71, -43, 31, 9, 13, 17, -84]
  Compare 31 and 9
  Swap 31 and 9
  List after swap: [-71, -43, 9, 31, 13, 17, -84]
  Compare 31 and 13
  Swap 31 and 13
  List after swap: [-71, -43, 9, 13, 31, 17, -84]
  Compare 31 and 17
  Swap 31 and 17
  List after swap: [-71, -43, 9, 13, 17, 31, -84]
  Compare 31 and -84
  Swap 31 and -84
  List after swap: [-71, -43, 9, 13, 17, -84, 31]

Pass 2:
  Compare -71 and -43
  No swap needed
  Compare -43 and 9
  No swap needed
  Compare 9 and 13
  No swap needed
  Compare 13 and 17
  No swap needed
  Compare 17 and -84
  Swap 17 and -84
  List after swap: [-71, -43, 9, 13, -84, 17, 31]

Pass 3:
  Compare -71 and -43
  No swap needed
  Compare -43 and 9
  No swap needed
  Compare 9 and 13
  No swap needed
  Compare 13 and -84
  Swap 13 and -84
  List after swap: [-71, -43, 9, -84, 13, 17, 31]

Pass 4:
  Compare -71 and -43
  No swap needed
  Compare -43 and 9
  No swap needed
  Compare 9 and -84
  Swap 9 and -84
  List after swap: [-71, -43, -84, 9, 13, 17, 31]

Pass 5:
  Compare -71 and -43
  No swap needed
  Compare -43 and -84
  Swap -43 and -84
  List after swap: [-71, -84, -43, 9, 13, 17, 31]

Pass 6:
  Compare -71 and -84
  Swap -71 and -84
  List after swap: [-84, -71, -43, 9, 13, 17, 31]

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

Final sorted list: [-84, -71, -43, 9, 13, 17, 31]
</think>

<response>-84, -71, -43, 9, 13, 17, 31</response>


input: Implement bubble sort on -63, -44, 67, -81, -51, 99, 65 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-63, -44, 67, -81, -51, 99, 65]

Pass 1:
  Compare -63 and -44
  No swap needed
  Compare -44 and 67
  No swap needed
  Compare 67 and -81
  Swap 67 and -81
  List after swap: [-63, -44, -81, 67, -51, 99, 65]
  Compare 67 and -51
  Swap 67 and -51
  List after swap: [-63, -44, -81, -51, 67, 99, 65]
  Compare 67 and 99
  No swap needed
  Compare 99 and 65
  Swap 99 and 65
  List after swap: [-63, -44, -81, -51, 67, 65, 99]

Pass 2:
  Compare -63 and -44
  No swap needed
  Compare -44 and -81
  Swap -44 and -81
  List after swap: [-63, -81, -44, -51, 67, 65, 99]
  Compare -44 and -51
  Swap -44 and -51
  List after swap: [-63, -81, -51, -44, 67, 65, 99]
  Compare -44 and 67
  No swap needed
  Compare 67 and 65
  Swap 67 and 65
  List after swap: [-63, -81, -51, -44, 65, 67, 99]

Pass 3:
  Compare -63 and -81
  Swap -63 and -81
  List after swap: [-81, -63, -51, -44, 65, 67, 99]
  Compare -63 and -51
  No swap needed
  Compare -51 and -44
  No swap needed
  Compare -44 and 65
  No swap needed

Pass 4:
  Compare -81 and -63
  No swap needed
  Compare -63 and -51
  No swap needed
  Compare -51 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -63, -51, -44, 65, 67, 99]
</think>

<response>-81, -63, -51, -44, 65, 67, 99</response>


input: Arrange the numbers -49, 50, -64 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-49, 50, -64]

Pass 1:
  Compare -49 and 50
  No swap needed
  Compare 50 and -64
  Swap 50 and -64
  List after swap: [-49, -64, 50]

Pass 2:
  Compare -49 and -64
  Swap -49 and -64
  List after swap: [-64, -49, 50]

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

Final sorted list: [-64, -49, 50]
</think>

<response>-64, -49, 50</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 29, 2, 37, -77, 19, -49.

output:
<think>
Initial list: [29, 2, 37, -77, 19, -49]

Pass 1:
  Compare 29 and 2
  Swap 29 and 2
  List after swap: [2, 29, 37, -77, 19, -49]
  Compare 29 and 37
  No swap needed
  Compare 37 and -77
  Swap 37 and -77
  List after swap: [2, 29, -77, 37, 19, -49]
  Compare 37 and 19
  Swap 37 and 19
  List after swap: [2, 29, -77, 19, 37, -49]
  Compare 37 and -49
  Swap 37 and -49
  List after swap: [2, 29, -77, 19, -49, 37]

Pass 2:
  Compare 2 and 29
  No swap needed
  Compare 29 and -77
  Swap 29 and -77
  List after swap: [2, -77, 29, 19, -49, 37]
  Compare 29 and 19
  Swap 29 and 19
  List after swap: [2, -77, 19, 29, -49, 37]
  Compare 29 and -49
  Swap 29 and -49
  List after swap: [2, -77, 19, -49, 29, 37]

Pass 3:
  Compare 2 and -77
  Swap 2 and -77
  List after swap: [-77, 2, 19, -49, 29, 37]
  Compare 2 and 19
  No swap needed
  Compare 19 and -49
  Swap 19 and -49
  List after swap: [-77, 2, -49, 19, 29, 37]

Pass 4:
  Compare -77 and 2
  No swap needed
  Compare 2 and -49
  Swap 2 and -49
  List after swap: [-77, -49, 2, 19, 29, 37]

Pass 5:
  Compare -77 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -49, 2, 19, 29, 37]
</think>

<response>-77, -49, 2, 19, 29, 37</response>


input: Sort these integers 63, 75, 95 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [63, 75, 95]

Pass 1:
  Compare 63 and 75
  No swap needed
  Compare 75 and 95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [63, 75, 95]
</think>

<response>63, 75, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 82, -39, 22, 71, -86, 55, 77, 86.

output:
<think>
Initial list: [82, -39, 22, 71, -86, 55, 77, 86]

Pass 1:
  Compare 82 and -39
  Swap 82 and -39
  List after swap: [-39, 82, 22, 71, -86, 55, 77, 86]
  Compare 82 and 22
  Swap 82 and 22
  List after swap: [-39, 22, 82, 71, -86, 55, 77, 86]
  Compare 82 and 71
  Swap 82 and 71
  List after swap: [-39, 22, 71, 82, -86, 55, 77, 86]
  Compare 82 and -86
  Swap 82 and -86
  List after swap: [-39, 22, 71, -86, 82, 55, 77, 86]
  Compare 82 and 55
  Swap 82 and 55
  List after swap: [-39, 22, 71, -86, 55, 82, 77, 86]
  Compare 82 and 77
  Swap 82 and 77
  List after swap: [-39, 22, 71, -86, 55, 77, 82, 86]
  Compare 82 and 86
  No swap needed

Pass 2:
  Compare -39 and 22
  No swap needed
  Compare 22 and 71
  No swap needed
  Compare 71 and -86
  Swap 71 and -86
  List after swap: [-39, 22, -86, 71, 55, 77, 82, 86]
  Compare 71 and 55
  Swap 71 and 55
  List after swap: [-39, 22, -86, 55, 71, 77, 82, 86]
  Compare 71 and 77
  No swap needed
  Compare 77 and 82
  No swap needed

Pass 3:
  Compare -39 and 22
  No swap needed
  Compare 22 and -86
  Swap 22 and -86
  List after swap: [-39, -86, 22, 55, 71, 77, 82, 86]
  Compare 22 and 55
  No swap needed
  Compare 55 and 71
  No swap needed
  Compare 71 and 77
  No swap needed

Pass 4:
  Compare -39 and -86
  Swap -39 and -86
  List after swap: [-86, -39, 22, 55, 71, 77, 82, 86]
  Compare -39 and 22
  No swap needed
  Compare 22 and 55
  No swap needed
  Compare 55 and 71
  No swap needed

Pass 5:
  Compare -86 and -39
  No swap needed
  Compare -39 and 22
  No swap needed
  Compare 22 and 55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -39, 22, 55, 71, 77, 82, 86]
</think>

<response>-86, -39, 22, 55, 71, 77, 82, 86</response>


input: Perform a bubble sort on the integers 64, 91, -68, -37, 73, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [64, 91, -68, -37, 73]

Pass 1:
  Compare 64 and 91
  No swap needed
  Compare 91 and -68
  Swap 91 and -68
  List after swap: [64, -68, 91, -37, 73]
  Compare 91 and -37
  Swap 91 and -37
  List after swap: [64, -68, -37, 91, 73]
  Compare 91 and 73
  Swap 91 and 73
  List after swap: [64, -68, -37, 73, 91]

Pass 2:
  Compare 64 and -68
  Swap 64 and -68
  List after swap: [-68, 64, -37, 73, 91]
  Compare 64 and -37
  Swap 64 and -37
  List after swap: [-68, -37, 64, 73, 91]
  Compare 64 and 73
  No swap needed

Pass 3:
  Compare -68 and -37
  No swap needed
  Compare -37 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -37, 64, 73, 91]
</think>

<response>-68, -37, 64, 73, 91</response>


input: Sort these integers 75, -4, -85, -99, 44, 83, 14, 34, -54, 7 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [75, -4, -85, -99, 44, 83, 14, 34, -54, 7]

Pass 1:
  Compare 75 and -4
  Swap 75 and -4
  List after swap: [-4, 75, -85, -99, 44, 83, 14, 34, -54, 7]
  Compare 75 and -85
  Swap 75 and -85
  List after swap: [-4, -85, 75, -99, 44, 83, 14, 34, -54, 7]
  Compare 75 and -99
  Swap 75 and -99
  List after swap: [-4, -85, -99, 75, 44, 83, 14, 34, -54, 7]
  Compare 75 and 44
  Swap 75 and 44
  List after swap: [-4, -85, -99, 44, 75, 83, 14, 34, -54, 7]
  Compare 75 and 83
  No swap needed
  Compare 83 and 14
  Swap 83 and 14
  List after swap: [-4, -85, -99, 44, 75, 14, 83, 34, -54, 7]
  Compare 83 and 34
  Swap 83 and 34
  List after swap: [-4, -85, -99, 44, 75, 14, 34, 83, -54, 7]
  Compare 83 and -54
  Swap 83 and -54
  List after swap: [-4, -85, -99, 44, 75, 14, 34, -54, 83, 7]
  Compare 83 and 7
  Swap 83 and 7
  List after swap: [-4, -85, -99, 44, 75, 14, 34, -54, 7, 83]

Pass 2:
  Compare -4 and -85
  Swap -4 and -85
  List after swap: [-85, -4, -99, 44, 75, 14, 34, -54, 7, 83]
  Compare -4 and -99
  Swap -4 and -99
  List after swap: [-85, -99, -4, 44, 75, 14, 34, -54, 7, 83]
  Compare -4 and 44
  No swap needed
  Compare 44 and 75
  No swap needed
  Compare 75 and 14
  Swap 75 and 14
  List after swap: [-85, -99, -4, 44, 14, 75, 34, -54, 7, 83]
  Compare 75 and 34
  Swap 75 and 34
  List after swap: [-85, -99, -4, 44, 14, 34, 75, -54, 7, 83]
  Compare 75 and -54
  Swap 75 and -54
  List after swap: [-85, -99, -4, 44, 14, 34, -54, 75, 7, 83]
  Compare 75 and 7
  Swap 75 and 7
  List after swap: [-85, -99, -4, 44, 14, 34, -54, 7, 75, 83]

Pass 3:
  Compare -85 and -99
  Swap -85 and -99
  List after swap: [-99, -85, -4, 44, 14, 34, -54, 7, 75, 83]
  Compare -85 and -4
  No swap needed
  Compare -4 and 44
  No swap needed
  Compare 44 and 14
  Swap 44 and 14
  List after swap: [-99, -85, -4, 14, 44, 34, -54, 7, 75, 83]
  Compare 44 and 34
  Swap 44 and 34
  List after swap: [-99, -85, -4, 14, 34, 44, -54, 7, 75, 83]
  Compare 44 and -54
  Swap 44 and -54
  List after swap: [-99, -85, -4, 14, 34, -54, 44, 7, 75, 83]
  Compare 44 and 7
  Swap 44 and 7
  List after swap: [-99, -85, -4, 14, 34, -54, 7, 44, 75, 83]

Pass 4:
  Compare -99 and -85
  No swap needed
  Compare -85 and -4
  No swap needed
  Compare -4 and 14
  No swap needed
  Compare 14 and 34
  No swap needed
  Compare 34 and -54
  Swap 34 and -54
  List after swap: [-99, -85, -4, 14, -54, 34, 7, 44, 75, 83]
  Compare 34 and 7
  Swap 34 and 7
  List after swap: [-99, -85, -4, 14, -54, 7, 34, 44, 75, 83]

Pass 5:
  Compare -99 and -85
  No swap needed
  Compare -85 and -4
  No swap needed
  Compare -4 and 14
  No swap needed
  Compare 14 and -54
  Swap 14 and -54
  List after swap: [-99, -85, -4, -54, 14, 7, 34, 44, 75, 83]
  Compare 14 and 7
  Swap 14 and 7
  List after swap: [-99, -85, -4, -54, 7, 14, 34, 44, 75, 83]

Pass 6:
  Compare -99 and -85
  No swap needed
  Compare -85 and -4
  No swap needed
  Compare -4 and -54
  Swap -4 and -54
  List after swap: [-99, -85, -54, -4, 7, 14, 34, 44, 75, 83]
  Compare -4 and 7
  No swap needed

Pass 7:
  Compare -99 and -85
  No swap needed
  Compare -85 and -54
  No swap needed
  Compare -54 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -85, -54, -4, 7, 14, 34, 44, 75, 83]
</think>

<response>-99, -85, -54, -4, 7, 14, 34, 44, 75, 83</response>


input: Arrange the numbers 14, 59 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [14, 59]

Pass 1:
  Compare 14 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [14, 59]
</think>

<response>14, 59</response>


input: Implement bubble sort on 52, 37, -94, -8, 80, -23, 76 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [52, 37, -94, -8, 80, -23, 76]

Pass 1:
  Compare 52 and 37
  Swap 52 and 37
  List after swap: [37, 52, -94, -8, 80, -23, 76]
  Compare 52 and -94
  Swap 52 and -94
  List after swap: [37, -94, 52, -8, 80, -23, 76]
  Compare 52 and -8
  Swap 52 and -8
  List after swap: [37, -94, -8, 52, 80, -23, 76]
  Compare 52 and 80
  No swap needed
  Compare 80 and -23
  Swap 80 and -23
  List after swap: [37, -94, -8, 52, -23, 80, 76]
  Compare 80 and 76
  Swap 80 and 76
  List after swap: [37, -94, -8, 52, -23, 76, 80]

Pass 2:
  Compare 37 and -94
  Swap 37 and -94
  List after swap: [-94, 37, -8, 52, -23, 76, 80]
  Compare 37 and -8
  Swap 37 and -8
  List after swap: [-94, -8, 37, 52, -23, 76, 80]
  Compare 37 and 52
  No swap needed
  Compare 52 and -23
  Swap 52 and -23
  List after swap: [-94, -8, 37, -23, 52, 76, 80]
  Compare 52 and 76
  No swap needed

Pass 3:
  Compare -94 and -8
  No swap needed
  Compare -8 and 37
  No swap needed
  Compare 37 and -23
  Swap 37 and -23
  List after swap: [-94, -8, -23, 37, 52, 76, 80]
  Compare 37 and 52
  No swap needed

Pass 4:
  Compare -94 and -8
  No swap needed
  Compare -8 and -23
  Swap -8 and -23
  List after swap: [-94, -23, -8, 37, 52, 76, 80]
  Compare -8 and 37
  No swap needed

Pass 5:
  Compare -94 and -23
  No swap needed
  Compare -23 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -23, -8, 37, 52, 76, 80]
</think>

<response>-94, -23, -8, 37, 52, 76, 80</response>


input: Use the bubble sort technique to reorder 51, -42, -7, -43, 6, -45, 45 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [51, -42, -7, -43, 6, -45, 45]

Pass 1:
  Compare 51 and -42
  Swap 51 and -42
  List after swap: [-42, 51, -7, -43, 6, -45, 45]
  Compare 51 and -7
  Swap 51 and -7
  List after swap: [-42, -7, 51, -43, 6, -45, 45]
  Compare 51 and -43
  Swap 51 and -43
  List after swap: [-42, -7, -43, 51, 6, -45, 45]
  Compare 51 and 6
  Swap 51 and 6
  List after swap: [-42, -7, -43, 6, 51, -45, 45]
  Compare 51 and -45
  Swap 51 and -45
  List after swap: [-42, -7, -43, 6, -45, 51, 45]
  Compare 51 and 45
  Swap 51 and 45
  List after swap: [-42, -7, -43, 6, -45, 45, 51]

Pass 2:
  Compare -42 and -7
  No swap needed
  Compare -7 and -43
  Swap -7 and -43
  List after swap: [-42, -43, -7, 6, -45, 45, 51]
  Compare -7 and 6
  No swap needed
  Compare 6 and -45
  Swap 6 and -45
  List after swap: [-42, -43, -7, -45, 6, 45, 51]
  Compare 6 and 45
  No swap needed

Pass 3:
  Compare -42 and -43
  Swap -42 and -43
  List after swap: [-43, -42, -7, -45, 6, 45, 51]
  Compare -42 and -7
  No swap needed
  Compare -7 and -45
  Swap -7 and -45
  List after swap: [-43, -42, -45, -7, 6, 45, 51]
  Compare -7 and 6
  No swap needed

Pass 4:
  Compare -43 and -42
  No swap needed
  Compare -42 and -45
  Swap -42 and -45
  List after swap: [-43, -45, -42, -7, 6, 45, 51]
  Compare -42 and -7
  No swap needed

Pass 5:
  Compare -43 and -45
  Swap -43 and -45
  List after swap: [-45, -43, -42, -7, 6, 45, 51]
  Compare -43 and -42
  No swap needed

Pass 6:
  Compare -45 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -43, -42, -7, 6, 45, 51]
</think>

<response>-45, -43, -42, -7, 6, 45, 51</response>


input: Perform a bubble sort on the integers -18, -73, -20, -26, -13, 88, 85, -75, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-18, -73, -20, -26, -13, 88, 85, -75]

Pass 1:
  Compare -18 and -73
  Swap -18 and -73
  List after swap: [-73, -18, -20, -26, -13, 88, 85, -75]
  Compare -18 and -20
  Swap -18 and -20
  List after swap: [-73, -20, -18, -26, -13, 88, 85, -75]
  Compare -18 and -26
  Swap -18 and -26
  List after swap: [-73, -20, -26, -18, -13, 88, 85, -75]
  Compare -18 and -13
  No swap needed
  Compare -13 and 88
  No swap needed
  Compare 88 and 85
  Swap 88 and 85
  List after swap: [-73, -20, -26, -18, -13, 85, 88, -75]
  Compare 88 and -75
  Swap 88 and -75
  List after swap: [-73, -20, -26, -18, -13, 85, -75, 88]

Pass 2:
  Compare -73 and -20
  No swap needed
  Compare -20 and -26
  Swap -20 and -26
  List after swap: [-73, -26, -20, -18, -13, 85, -75, 88]
  Compare -20 and -18
  No swap needed
  Compare -18 and -13
  No swap needed
  Compare -13 and 85
  No swap needed
  Compare 85 and -75
  Swap 85 and -75
  List after swap: [-73, -26, -20, -18, -13, -75, 85, 88]

Pass 3:
  Compare -73 and -26
  No swap needed
  Compare -26 and -20
  No swap needed
  Compare -20 and -18
  No swap needed
  Compare -18 and -13
  No swap needed
  Compare -13 and -75
  Swap -13 and -75
  List after swap: [-73, -26, -20, -18, -75, -13, 85, 88]

Pass 4:
  Compare -73 and -26
  No swap needed
  Compare -26 and -20
  No swap needed
  Compare -20 and -18
  No swap needed
  Compare -18 and -75
  Swap -18 and -75
  List after swap: [-73, -26, -20, -75, -18, -13, 85, 88]

Pass 5:
  Compare -73 and -26
  No swap needed
  Compare -26 and -20
  No swap needed
  Compare -20 and -75
  Swap -20 and -75
  List after swap: [-73, -26, -75, -20, -18, -13, 85, 88]

Pass 6:
  Compare -73 and -26
  No swap needed
  Compare -26 and -75
  Swap -26 and -75
  List after swap: [-73, -75, -26, -20, -18, -13, 85, 88]

Pass 7:
  Compare -73 and -75
  Swap -73 and -75
  List after swap: [-75, -73, -26, -20, -18, -13, 85, 88]

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

Final sorted list: [-75, -73, -26, -20, -18, -13, 85, 88]
</think>

<response>-75, -73, -26, -20, -18, -13, 85, 88</response>


input: Implement bubble sort on -8, -45, 51, 28, -36, -40, -81 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-8, -45, 51, 28, -36, -40, -81]

Pass 1:
  Compare -8 and -45
  Swap -8 and -45
  List after swap: [-45, -8, 51, 28, -36, -40, -81]
  Compare -8 and 51
  No swap needed
  Compare 51 and 28
  Swap 51 and 28
  List after swap: [-45, -8, 28, 51, -36, -40, -81]
  Compare 51 and -36
  Swap 51 and -36
  List after swap: [-45, -8, 28, -36, 51, -40, -81]
  Compare 51 and -40
  Swap 51 and -40
  List after swap: [-45, -8, 28, -36, -40, 51, -81]
  Compare 51 and -81
  Swap 51 and -81
  List after swap: [-45, -8, 28, -36, -40, -81, 51]

Pass 2:
  Compare -45 and -8
  No swap needed
  Compare -8 and 28
  No swap needed
  Compare 28 and -36
  Swap 28 and -36
  List after swap: [-45, -8, -36, 28, -40, -81, 51]
  Compare 28 and -40
  Swap 28 and -40
  List after swap: [-45, -8, -36, -40, 28, -81, 51]
  Compare 28 and -81
  Swap 28 and -81
  List after swap: [-45, -8, -36, -40, -81, 28, 51]

Pass 3:
  Compare -45 and -8
  No swap needed
  Compare -8 and -36
  Swap -8 and -36
  List after swap: [-45, -36, -8, -40, -81, 28, 51]
  Compare -8 and -40
  Swap -8 and -40
  List after swap: [-45, -36, -40, -8, -81, 28, 51]
  Compare -8 and -81
  Swap -8 and -81
  List after swap: [-45, -36, -40, -81, -8, 28, 51]

Pass 4:
  Compare -45 and -36
  No swap needed
  Compare -36 and -40
  Swap -36 and -40
  List after swap: [-45, -40, -36, -81, -8, 28, 51]
  Compare -36 and -81
  Swap -36 and -81
  List after swap: [-45, -40, -81, -36, -8, 28, 51]

Pass 5:
  Compare -45 and -40
  No swap needed
  Compare -40 and -81
  Swap -40 and -81
  List after swap: [-45, -81, -40, -36, -8, 28, 51]

Pass 6:
  Compare -45 and -81
  Swap -45 and -81
  List after swap: [-81, -45, -40, -36, -8, 28, 51]

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

Final sorted list: [-81, -45, -40, -36, -8, 28, 51]
</think>

<response>-81, -45, -40, -36, -8, 28, 51</response>


input: Arrange the numbers -8, -57, 92, -54, 88, 5, -55, 84, 29, -34 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-8, -57, 92, -54, 88, 5, -55, 84, 29, -34]

Pass 1:
  Compare -8 and -57
  Swap -8 and -57
  List after swap: [-57, -8, 92, -54, 88, 5, -55, 84, 29, -34]
  Compare -8 and 92
  No swap needed
  Compare 92 and -54
  Swap 92 and -54
  List after swap: [-57, -8, -54, 92, 88, 5, -55, 84, 29, -34]
  Compare 92 and 88
  Swap 92 and 88
  List after swap: [-57, -8, -54, 88, 92, 5, -55, 84, 29, -34]
  Compare 92 and 5
  Swap 92 and 5
  List after swap: [-57, -8, -54, 88, 5, 92, -55, 84, 29, -34]
  Compare 92 and -55
  Swap 92 and -55
  List after swap: [-57, -8, -54, 88, 5, -55, 92, 84, 29, -34]
  Compare 92 and 84
  Swap 92 and 84
  List after swap: [-57, -8, -54, 88, 5, -55, 84, 92, 29, -34]
  Compare 92 and 29
  Swap 92 and 29
  List after swap: [-57, -8, -54, 88, 5, -55, 84, 29, 92, -34]
  Compare 92 and -34
  Swap 92 and -34
  List after swap: [-57, -8, -54, 88, 5, -55, 84, 29, -34, 92]

Pass 2:
  Compare -57 and -8
  No swap needed
  Compare -8 and -54
  Swap -8 and -54
  List after swap: [-57, -54, -8, 88, 5, -55, 84, 29, -34, 92]
  Compare -8 and 88
  No swap needed
  Compare 88 and 5
  Swap 88 and 5
  List after swap: [-57, -54, -8, 5, 88, -55, 84, 29, -34, 92]
  Compare 88 and -55
  Swap 88 and -55
  List after swap: [-57, -54, -8, 5, -55, 88, 84, 29, -34, 92]
  Compare 88 and 84
  Swap 88 and 84
  List after swap: [-57, -54, -8, 5, -55, 84, 88, 29, -34, 92]
  Compare 88 and 29
  Swap 88 and 29
  List after swap: [-57, -54, -8, 5, -55, 84, 29, 88, -34, 92]
  Compare 88 and -34
  Swap 88 and -34
  List after swap: [-57, -54, -8, 5, -55, 84, 29, -34, 88, 92]

Pass 3:
  Compare -57 and -54
  No swap needed
  Compare -54 and -8
  No swap needed
  Compare -8 and 5
  No swap needed
  Compare 5 and -55
  Swap 5 and -55
  List after swap: [-57, -54, -8, -55, 5, 84, 29, -34, 88, 92]
  Compare 5 and 84
  No swap needed
  Compare 84 and 29
  Swap 84 and 29
  List after swap: [-57, -54, -8, -55, 5, 29, 84, -34, 88, 92]
  Compare 84 and -34
  Swap 84 and -34
  List after swap: [-57, -54, -8, -55, 5, 29, -34, 84, 88, 92]

Pass 4:
  Compare -57 and -54
  No swap needed
  Compare -54 and -8
  No swap needed
  Compare -8 and -55
  Swap -8 and -55
  List after swap: [-57, -54, -55, -8, 5, 29, -34, 84, 88, 92]
  Compare -8 and 5
  No swap needed
  Compare 5 and 29
  No swap needed
  Compare 29 and -34
  Swap 29 and -34
  List after swap: [-57, -54, -55, -8, 5, -34, 29, 84, 88, 92]

Pass 5:
  Compare -57 and -54
  No swap needed
  Compare -54 and -55
  Swap -54 and -55
  List after swap: [-57, -55, -54, -8, 5, -34, 29, 84, 88, 92]
  Compare -54 and -8
  No swap needed
  Compare -8 and 5
  No swap needed
  Compare 5 and -34
  Swap 5 and -34
  List after swap: [-57, -55, -54, -8, -34, 5, 29, 84, 88, 92]

Pass 6:
  Compare -57 and -55
  No swap needed
  Compare -55 and -54
  No swap needed
  Compare -54 and -8
  No swap needed
  Compare -8 and -34
  Swap -8 and -34
  List after swap: [-57, -55, -54, -34, -8, 5, 29, 84, 88, 92]

Pass 7:
  Compare -57 and -55
  No swap needed
  Compare -55 and -54
  No swap needed
  Compare -54 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -55, -54, -34, -8, 5, 29, 84, 88, 92]
</think>

<response>-57, -55, -54, -34, -8, 5, 29, 84, 88, 92</response>


input: Arrange the numbers -49, -22, -98, -2, -54, -24, -61 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-49, -22, -98, -2, -54, -24, -61]

Pass 1:
  Compare -49 and -22
  No swap needed
  Compare -22 and -98
  Swap -22 and -98
  List after swap: [-49, -98, -22, -2, -54, -24, -61]
  Compare -22 and -2
  No swap needed
  Compare -2 and -54
  Swap -2 and -54
  List after swap: [-49, -98, -22, -54, -2, -24, -61]
  Compare -2 and -24
  Swap -2 and -24
  List after swap: [-49, -98, -22, -54, -24, -2, -61]
  Compare -2 and -61
  Swap -2 and -61
  List after swap: [-49, -98, -22, -54, -24, -61, -2]

Pass 2:
  Compare -49 and -98
  Swap -49 and -98
  List after swap: [-98, -49, -22, -54, -24, -61, -2]
  Compare -49 and -22
  No swap needed
  Compare -22 and -54
  Swap -22 and -54
  List after swap: [-98, -49, -54, -22, -24, -61, -2]
  Compare -22 and -24
  Swap -22 and -24
  List after swap: [-98, -49, -54, -24, -22, -61, -2]
  Compare -22 and -61
  Swap -22 and -61
  List after swap: [-98, -49, -54, -24, -61, -22, -2]

Pass 3:
  Compare -98 and -49
  No swap needed
  Compare -49 and -54
  Swap -49 and -54
  List after swap: [-98, -54, -49, -24, -61, -22, -2]
  Compare -49 and -24
  No swap needed
  Compare -24 and -61
  Swap -24 and -61
  List after swap: [-98, -54, -49, -61, -24, -22, -2]

Pass 4:
  Compare -98 and -54
  No swap needed
  Compare -54 and -49
  No swap needed
  Compare -49 and -61
  Swap -49 and -61
  List after swap: [-98, -54, -61, -49, -24, -22, -2]

Pass 5:
  Compare -98 and -54
  No swap needed
  Compare -54 and -61
  Swap -54 and -61
  List after swap: [-98, -61, -54, -49, -24, -22, -2]

Pass 6:
  Compare -98 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -61, -54, -49, -24, -22, -2]
</think>

<response>-98, -61, -54, -49, -24, -22, -2</response>


input: Perform a bubble sort on the integers -29, -3, -11, 11, -85, -8, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-29, -3, -11, 11, -85, -8]

Pass 1:
  Compare -29 and -3
  No swap needed
  Compare -3 and -11
  Swap -3 and -11
  List after swap: [-29, -11, -3, 11, -85, -8]
  Compare -3 and 11
  No swap needed
  Compare 11 and -85
  Swap 11 and -85
  List after swap: [-29, -11, -3, -85, 11, -8]
  Compare 11 and -8
  Swap 11 and -8
  List after swap: [-29, -11, -3, -85, -8, 11]

Pass 2:
  Compare -29 and -11
  No swap needed
  Compare -11 and -3
  No swap needed
  Compare -3 and -85
  Swap -3 and -85
  List after swap: [-29, -11, -85, -3, -8, 11]
  Compare -3 and -8
  Swap -3 and -8
  List after swap: [-29, -11, -85, -8, -3, 11]

Pass 3:
  Compare -29 and -11
  No swap needed
  Compare -11 and -85
  Swap -11 and -85
  List after swap: [-29, -85, -11, -8, -3, 11]
  Compare -11 and -8
  No swap needed

Pass 4:
  Compare -29 and -85
  Swap -29 and -85
  List after swap: [-85, -29, -11, -8, -3, 11]
  Compare -29 and -11
  No swap needed

Pass 5:
  Compare -85 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -29, -11, -8, -3, 11]
</think>

<response>-85, -29, -11, -8, -3, 11</response>


input: Sort the list -77, -48, -2, 16, -38, 47, -99 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-77, -48, -2, 16, -38, 47, -99]

Pass 1:
  Compare -77 and -48
  No swap needed
  Compare -48 and -2
  No swap needed
  Compare -2 and 16
  No swap needed
  Compare 16 and -38
  Swap 16 and -38
  List after swap: [-77, -48, -2, -38, 16, 47, -99]
  Compare 16 and 47
  No swap needed
  Compare 47 and -99
  Swap 47 and -99
  List after swap: [-77, -48, -2, -38, 16, -99, 47]

Pass 2:
  Compare -77 and -48
  No swap needed
  Compare -48 and -2
  No swap needed
  Compare -2 and -38
  Swap -2 and -38
  List after swap: [-77, -48, -38, -2, 16, -99, 47]
  Compare -2 and 16
  No swap needed
  Compare 16 and -99
  Swap 16 and -99
  List after swap: [-77, -48, -38, -2, -99, 16, 47]

Pass 3:
  Compare -77 and -48
  No swap needed
  Compare -48 and -38
  No swap needed
  Compare -38 and -2
  No swap needed
  Compare -2 and -99
  Swap -2 and -99
  List after swap: [-77, -48, -38, -99, -2, 16, 47]

Pass 4:
  Compare -77 and -48
  No swap needed
  Compare -48 and -38
  No swap needed
  Compare -38 and -99
  Swap -38 and -99
  List after swap: [-77, -48, -99, -38, -2, 16, 47]

Pass 5:
  Compare -77 and -48
  No swap needed
  Compare -48 and -99
  Swap -48 and -99
  List after swap: [-77, -99, -48, -38, -2, 16, 47]

Pass 6:
  Compare -77 and -99
  Swap -77 and -99
  List after swap: [-99, -77, -48, -38, -2, 16, 47]

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

Final sorted list: [-99, -77, -48, -38, -2, 16, 47]
</think>

<response>-99, -77, -48, -38, -2, 16, 47</response>