input: Use bubble sort to organize these integers in increasing order and record each step taken: 79, -37, -13, 85, 46, -12, -47.

output:
<think>
Initial list: [79, -37, -13, 85, 46, -12, -47]

Pass 1:
  Compare 79 and -37
  Swap 79 and -37
  List after swap: [-37, 79, -13, 85, 46, -12, -47]
  Compare 79 and -13
  Swap 79 and -13
  List after swap: [-37, -13, 79, 85, 46, -12, -47]
  Compare 79 and 85
  No swap needed
  Compare 85 and 46
  Swap 85 and 46
  List after swap: [-37, -13, 79, 46, 85, -12, -47]
  Compare 85 and -12
  Swap 85 and -12
  List after swap: [-37, -13, 79, 46, -12, 85, -47]
  Compare 85 and -47
  Swap 85 and -47
  List after swap: [-37, -13, 79, 46, -12, -47, 85]

Pass 2:
  Compare -37 and -13
  No swap needed
  Compare -13 and 79
  No swap needed
  Compare 79 and 46
  Swap 79 and 46
  List after swap: [-37, -13, 46, 79, -12, -47, 85]
  Compare 79 and -12
  Swap 79 and -12
  List after swap: [-37, -13, 46, -12, 79, -47, 85]
  Compare 79 and -47
  Swap 79 and -47
  List after swap: [-37, -13, 46, -12, -47, 79, 85]

Pass 3:
  Compare -37 and -13
  No swap needed
  Compare -13 and 46
  No swap needed
  Compare 46 and -12
  Swap 46 and -12
  List after swap: [-37, -13, -12, 46, -47, 79, 85]
  Compare 46 and -47
  Swap 46 and -47
  List after swap: [-37, -13, -12, -47, 46, 79, 85]

Pass 4:
  Compare -37 and -13
  No swap needed
  Compare -13 and -12
  No swap needed
  Compare -12 and -47
  Swap -12 and -47
  List after swap: [-37, -13, -47, -12, 46, 79, 85]

Pass 5:
  Compare -37 and -13
  No swap needed
  Compare -13 and -47
  Swap -13 and -47
  List after swap: [-37, -47, -13, -12, 46, 79, 85]

Pass 6:
  Compare -37 and -47
  Swap -37 and -47
  List after swap: [-47, -37, -13, -12, 46, 79, 85]

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

Final sorted list: [-47, -37, -13, -12, 46, 79, 85]
</think>

<response>-47, -37, -13, -12, 46, 79, 85</response>


input: Using the bubble sort method, sort -76, 94 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-76, 94]

Pass 1:
  Compare -76 and 94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, 94]
</think>

<response>-76, 94</response>


input: Execute bubble sort to sort -95, -17 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-95, -17]

Pass 1:
  Compare -95 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -17]
</think>

<response>-95, -17</response>


input: Carry out the bubble sort algorithm on 84, 37, -97 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [84, 37, -97]

Pass 1:
  Compare 84 and 37
  Swap 84 and 37
  List after swap: [37, 84, -97]
  Compare 84 and -97
  Swap 84 and -97
  List after swap: [37, -97, 84]

Pass 2:
  Compare 37 and -97
  Swap 37 and -97
  List after swap: [-97, 37, 84]

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

Final sorted list: [-97, 37, 84]
</think>

<response>-97, 37, 84</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -52, 12, 48, -30.

output:
<think>
Initial list: [-52, 12, 48, -30]

Pass 1:
  Compare -52 and 12
  No swap needed
  Compare 12 and 48
  No swap needed
  Compare 48 and -30
  Swap 48 and -30
  List after swap: [-52, 12, -30, 48]

Pass 2:
  Compare -52 and 12
  No swap needed
  Compare 12 and -30
  Swap 12 and -30
  List after swap: [-52, -30, 12, 48]

Pass 3:
  Compare -52 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -30, 12, 48]
</think>

<response>-52, -30, 12, 48</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 44, 49, -43, -17.

output:
<think>
Initial list: [44, 49, -43, -17]

Pass 1:
  Compare 44 and 49
  No swap needed
  Compare 49 and -43
  Swap 49 and -43
  List after swap: [44, -43, 49, -17]
  Compare 49 and -17
  Swap 49 and -17
  List after swap: [44, -43, -17, 49]

Pass 2:
  Compare 44 and -43
  Swap 44 and -43
  List after swap: [-43, 44, -17, 49]
  Compare 44 and -17
  Swap 44 and -17
  List after swap: [-43, -17, 44, 49]

Pass 3:
  Compare -43 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -17, 44, 49]
</think>

<response>-43, -17, 44, 49</response>


input: Use the bubble sort technique to reorder 39, -25, 28, 38, -34, -38, 15, -39, 50 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [39, -25, 28, 38, -34, -38, 15, -39, 50]

Pass 1:
  Compare 39 and -25
  Swap 39 and -25
  List after swap: [-25, 39, 28, 38, -34, -38, 15, -39, 50]
  Compare 39 and 28
  Swap 39 and 28
  List after swap: [-25, 28, 39, 38, -34, -38, 15, -39, 50]
  Compare 39 and 38
  Swap 39 and 38
  List after swap: [-25, 28, 38, 39, -34, -38, 15, -39, 50]
  Compare 39 and -34
  Swap 39 and -34
  List after swap: [-25, 28, 38, -34, 39, -38, 15, -39, 50]
  Compare 39 and -38
  Swap 39 and -38
  List after swap: [-25, 28, 38, -34, -38, 39, 15, -39, 50]
  Compare 39 and 15
  Swap 39 and 15
  List after swap: [-25, 28, 38, -34, -38, 15, 39, -39, 50]
  Compare 39 and -39
  Swap 39 and -39
  List after swap: [-25, 28, 38, -34, -38, 15, -39, 39, 50]
  Compare 39 and 50
  No swap needed

Pass 2:
  Compare -25 and 28
  No swap needed
  Compare 28 and 38
  No swap needed
  Compare 38 and -34
  Swap 38 and -34
  List after swap: [-25, 28, -34, 38, -38, 15, -39, 39, 50]
  Compare 38 and -38
  Swap 38 and -38
  List after swap: [-25, 28, -34, -38, 38, 15, -39, 39, 50]
  Compare 38 and 15
  Swap 38 and 15
  List after swap: [-25, 28, -34, -38, 15, 38, -39, 39, 50]
  Compare 38 and -39
  Swap 38 and -39
  List after swap: [-25, 28, -34, -38, 15, -39, 38, 39, 50]
  Compare 38 and 39
  No swap needed

Pass 3:
  Compare -25 and 28
  No swap needed
  Compare 28 and -34
  Swap 28 and -34
  List after swap: [-25, -34, 28, -38, 15, -39, 38, 39, 50]
  Compare 28 and -38
  Swap 28 and -38
  List after swap: [-25, -34, -38, 28, 15, -39, 38, 39, 50]
  Compare 28 and 15
  Swap 28 and 15
  List after swap: [-25, -34, -38, 15, 28, -39, 38, 39, 50]
  Compare 28 and -39
  Swap 28 and -39
  List after swap: [-25, -34, -38, 15, -39, 28, 38, 39, 50]
  Compare 28 and 38
  No swap needed

Pass 4:
  Compare -25 and -34
  Swap -25 and -34
  List after swap: [-34, -25, -38, 15, -39, 28, 38, 39, 50]
  Compare -25 and -38
  Swap -25 and -38
  List after swap: [-34, -38, -25, 15, -39, 28, 38, 39, 50]
  Compare -25 and 15
  No swap needed
  Compare 15 and -39
  Swap 15 and -39
  List after swap: [-34, -38, -25, -39, 15, 28, 38, 39, 50]
  Compare 15 and 28
  No swap needed

Pass 5:
  Compare -34 and -38
  Swap -34 and -38
  List after swap: [-38, -34, -25, -39, 15, 28, 38, 39, 50]
  Compare -34 and -25
  No swap needed
  Compare -25 and -39
  Swap -25 and -39
  List after swap: [-38, -34, -39, -25, 15, 28, 38, 39, 50]
  Compare -25 and 15
  No swap needed

Pass 6:
  Compare -38 and -34
  No swap needed
  Compare -34 and -39
  Swap -34 and -39
  List after swap: [-38, -39, -34, -25, 15, 28, 38, 39, 50]
  Compare -34 and -25
  No swap needed

Pass 7:
  Compare -38 and -39
  Swap -38 and -39
  List after swap: [-39, -38, -34, -25, 15, 28, 38, 39, 50]
  Compare -38 and -34
  No swap needed

Pass 8:
  Compare -39 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -38, -34, -25, 15, 28, 38, 39, 50]
</think>

<response>-39, -38, -34, -25, 15, 28, 38, 39, 50</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -69, -25, 73, -88.

output:
<think>
Initial list: [-69, -25, 73, -88]

Pass 1:
  Compare -69 and -25
  No swap needed
  Compare -25 and 73
  No swap needed
  Compare 73 and -88
  Swap 73 and -88
  List after swap: [-69, -25, -88, 73]

Pass 2:
  Compare -69 and -25
  No swap needed
  Compare -25 and -88
  Swap -25 and -88
  List after swap: [-69, -88, -25, 73]

Pass 3:
  Compare -69 and -88
  Swap -69 and -88
  List after swap: [-88, -69, -25, 73]

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

Final sorted list: [-88, -69, -25, 73]
</think>

<response>-88, -69, -25, 73</response>


input: Sort the list -7, -49, -84, -28, 6 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-7, -49, -84, -28, 6]

Pass 1:
  Compare -7 and -49
  Swap -7 and -49
  List after swap: [-49, -7, -84, -28, 6]
  Compare -7 and -84
  Swap -7 and -84
  List after swap: [-49, -84, -7, -28, 6]
  Compare -7 and -28
  Swap -7 and -28
  List after swap: [-49, -84, -28, -7, 6]
  Compare -7 and 6
  No swap needed

Pass 2:
  Compare -49 and -84
  Swap -49 and -84
  List after swap: [-84, -49, -28, -7, 6]
  Compare -49 and -28
  No swap needed
  Compare -28 and -7
  No swap needed

Pass 3:
  Compare -84 and -49
  No swap needed
  Compare -49 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -49, -28, -7, 6]
</think>

<response>-84, -49, -28, -7, 6</response>


input: Use the bubble sort technique to reorder 89, -80, 39, 18, 45, -34, -65, 0, -45 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [89, -80, 39, 18, 45, -34, -65, 0, -45]

Pass 1:
  Compare 89 and -80
  Swap 89 and -80
  List after swap: [-80, 89, 39, 18, 45, -34, -65, 0, -45]
  Compare 89 and 39
  Swap 89 and 39
  List after swap: [-80, 39, 89, 18, 45, -34, -65, 0, -45]
  Compare 89 and 18
  Swap 89 and 18
  List after swap: [-80, 39, 18, 89, 45, -34, -65, 0, -45]
  Compare 89 and 45
  Swap 89 and 45
  List after swap: [-80, 39, 18, 45, 89, -34, -65, 0, -45]
  Compare 89 and -34
  Swap 89 and -34
  List after swap: [-80, 39, 18, 45, -34, 89, -65, 0, -45]
  Compare 89 and -65
  Swap 89 and -65
  List after swap: [-80, 39, 18, 45, -34, -65, 89, 0, -45]
  Compare 89 and 0
  Swap 89 and 0
  List after swap: [-80, 39, 18, 45, -34, -65, 0, 89, -45]
  Compare 89 and -45
  Swap 89 and -45
  List after swap: [-80, 39, 18, 45, -34, -65, 0, -45, 89]

Pass 2:
  Compare -80 and 39
  No swap needed
  Compare 39 and 18
  Swap 39 and 18
  List after swap: [-80, 18, 39, 45, -34, -65, 0, -45, 89]
  Compare 39 and 45
  No swap needed
  Compare 45 and -34
  Swap 45 and -34
  List after swap: [-80, 18, 39, -34, 45, -65, 0, -45, 89]
  Compare 45 and -65
  Swap 45 and -65
  List after swap: [-80, 18, 39, -34, -65, 45, 0, -45, 89]
  Compare 45 and 0
  Swap 45 and 0
  List after swap: [-80, 18, 39, -34, -65, 0, 45, -45, 89]
  Compare 45 and -45
  Swap 45 and -45
  List after swap: [-80, 18, 39, -34, -65, 0, -45, 45, 89]

Pass 3:
  Compare -80 and 18
  No swap needed
  Compare 18 and 39
  No swap needed
  Compare 39 and -34
  Swap 39 and -34
  List after swap: [-80, 18, -34, 39, -65, 0, -45, 45, 89]
  Compare 39 and -65
  Swap 39 and -65
  List after swap: [-80, 18, -34, -65, 39, 0, -45, 45, 89]
  Compare 39 and 0
  Swap 39 and 0
  List after swap: [-80, 18, -34, -65, 0, 39, -45, 45, 89]
  Compare 39 and -45
  Swap 39 and -45
  List after swap: [-80, 18, -34, -65, 0, -45, 39, 45, 89]

Pass 4:
  Compare -80 and 18
  No swap needed
  Compare 18 and -34
  Swap 18 and -34
  List after swap: [-80, -34, 18, -65, 0, -45, 39, 45, 89]
  Compare 18 and -65
  Swap 18 and -65
  List after swap: [-80, -34, -65, 18, 0, -45, 39, 45, 89]
  Compare 18 and 0
  Swap 18 and 0
  List after swap: [-80, -34, -65, 0, 18, -45, 39, 45, 89]
  Compare 18 and -45
  Swap 18 and -45
  List after swap: [-80, -34, -65, 0, -45, 18, 39, 45, 89]

Pass 5:
  Compare -80 and -34
  No swap needed
  Compare -34 and -65
  Swap -34 and -65
  List after swap: [-80, -65, -34, 0, -45, 18, 39, 45, 89]
  Compare -34 and 0
  No swap needed
  Compare 0 and -45
  Swap 0 and -45
  List after swap: [-80, -65, -34, -45, 0, 18, 39, 45, 89]

Pass 6:
  Compare -80 and -65
  No swap needed
  Compare -65 and -34
  No swap needed
  Compare -34 and -45
  Swap -34 and -45
  List after swap: [-80, -65, -45, -34, 0, 18, 39, 45, 89]

Pass 7:
  Compare -80 and -65
  No swap needed
  Compare -65 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -65, -45, -34, 0, 18, 39, 45, 89]
</think>

<response>-80, -65, -45, -34, 0, 18, 39, 45, 89</response>


input: Demonstrate how bubble sort orders the integers -61, 74, -30, -24, 43, -66, -74, -48 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-61, 74, -30, -24, 43, -66, -74, -48]

Pass 1:
  Compare -61 and 74
  No swap needed
  Compare 74 and -30
  Swap 74 and -30
  List after swap: [-61, -30, 74, -24, 43, -66, -74, -48]
  Compare 74 and -24
  Swap 74 and -24
  List after swap: [-61, -30, -24, 74, 43, -66, -74, -48]
  Compare 74 and 43
  Swap 74 and 43
  List after swap: [-61, -30, -24, 43, 74, -66, -74, -48]
  Compare 74 and -66
  Swap 74 and -66
  List after swap: [-61, -30, -24, 43, -66, 74, -74, -48]
  Compare 74 and -74
  Swap 74 and -74
  List after swap: [-61, -30, -24, 43, -66, -74, 74, -48]
  Compare 74 and -48
  Swap 74 and -48
  List after swap: [-61, -30, -24, 43, -66, -74, -48, 74]

Pass 2:
  Compare -61 and -30
  No swap needed
  Compare -30 and -24
  No swap needed
  Compare -24 and 43
  No swap needed
  Compare 43 and -66
  Swap 43 and -66
  List after swap: [-61, -30, -24, -66, 43, -74, -48, 74]
  Compare 43 and -74
  Swap 43 and -74
  List after swap: [-61, -30, -24, -66, -74, 43, -48, 74]
  Compare 43 and -48
  Swap 43 and -48
  List after swap: [-61, -30, -24, -66, -74, -48, 43, 74]

Pass 3:
  Compare -61 and -30
  No swap needed
  Compare -30 and -24
  No swap needed
  Compare -24 and -66
  Swap -24 and -66
  List after swap: [-61, -30, -66, -24, -74, -48, 43, 74]
  Compare -24 and -74
  Swap -24 and -74
  List after swap: [-61, -30, -66, -74, -24, -48, 43, 74]
  Compare -24 and -48
  Swap -24 and -48
  List after swap: [-61, -30, -66, -74, -48, -24, 43, 74]

Pass 4:
  Compare -61 and -30
  No swap needed
  Compare -30 and -66
  Swap -30 and -66
  List after swap: [-61, -66, -30, -74, -48, -24, 43, 74]
  Compare -30 and -74
  Swap -30 and -74
  List after swap: [-61, -66, -74, -30, -48, -24, 43, 74]
  Compare -30 and -48
  Swap -30 and -48
  List after swap: [-61, -66, -74, -48, -30, -24, 43, 74]

Pass 5:
  Compare -61 and -66
  Swap -61 and -66
  List after swap: [-66, -61, -74, -48, -30, -24, 43, 74]
  Compare -61 and -74
  Swap -61 and -74
  List after swap: [-66, -74, -61, -48, -30, -24, 43, 74]
  Compare -61 and -48
  No swap needed

Pass 6:
  Compare -66 and -74
  Swap -66 and -74
  List after swap: [-74, -66, -61, -48, -30, -24, 43, 74]
  Compare -66 and -61
  No swap needed

Pass 7:
  Compare -74 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -66, -61, -48, -30, -24, 43, 74]
</think>

<response>-74, -66, -61, -48, -30, -24, 43, 74</response>


input: Use the bubble sort technique to reorder 83, 98, -47, 29 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [83, 98, -47, 29]

Pass 1:
  Compare 83 and 98
  No swap needed
  Compare 98 and -47
  Swap 98 and -47
  List after swap: [83, -47, 98, 29]
  Compare 98 and 29
  Swap 98 and 29
  List after swap: [83, -47, 29, 98]

Pass 2:
  Compare 83 and -47
  Swap 83 and -47
  List after swap: [-47, 83, 29, 98]
  Compare 83 and 29
  Swap 83 and 29
  List after swap: [-47, 29, 83, 98]

Pass 3:
  Compare -47 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, 29, 83, 98]
</think>

<response>-47, 29, 83, 98</response>


input: Use the bubble sort technique to reorder 58, -18 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [58, -18]

Pass 1:
  Compare 58 and -18
  Swap 58 and -18
  List after swap: [-18, 58]

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

Final sorted list: [-18, 58]
</think>

<response>-18, 58</response>


input: Sort these integers -23, -90 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-23, -90]

Pass 1:
  Compare -23 and -90
  Swap -23 and -90
  List after swap: [-90, -23]

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

Final sorted list: [-90, -23]
</think>

<response>-90, -23</response>


input: Perform a bubble sort on the integers 9, -21, -95, -25, -16, -55, 76, 39, 42, -24, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [9, -21, -95, -25, -16, -55, 76, 39, 42, -24]

Pass 1:
  Compare 9 and -21
  Swap 9 and -21
  List after swap: [-21, 9, -95, -25, -16, -55, 76, 39, 42, -24]
  Compare 9 and -95
  Swap 9 and -95
  List after swap: [-21, -95, 9, -25, -16, -55, 76, 39, 42, -24]
  Compare 9 and -25
  Swap 9 and -25
  List after swap: [-21, -95, -25, 9, -16, -55, 76, 39, 42, -24]
  Compare 9 and -16
  Swap 9 and -16
  List after swap: [-21, -95, -25, -16, 9, -55, 76, 39, 42, -24]
  Compare 9 and -55
  Swap 9 and -55
  List after swap: [-21, -95, -25, -16, -55, 9, 76, 39, 42, -24]
  Compare 9 and 76
  No swap needed
  Compare 76 and 39
  Swap 76 and 39
  List after swap: [-21, -95, -25, -16, -55, 9, 39, 76, 42, -24]
  Compare 76 and 42
  Swap 76 and 42
  List after swap: [-21, -95, -25, -16, -55, 9, 39, 42, 76, -24]
  Compare 76 and -24
  Swap 76 and -24
  List after swap: [-21, -95, -25, -16, -55, 9, 39, 42, -24, 76]

Pass 2:
  Compare -21 and -95
  Swap -21 and -95
  List after swap: [-95, -21, -25, -16, -55, 9, 39, 42, -24, 76]
  Compare -21 and -25
  Swap -21 and -25
  List after swap: [-95, -25, -21, -16, -55, 9, 39, 42, -24, 76]
  Compare -21 and -16
  No swap needed
  Compare -16 and -55
  Swap -16 and -55
  List after swap: [-95, -25, -21, -55, -16, 9, 39, 42, -24, 76]
  Compare -16 and 9
  No swap needed
  Compare 9 and 39
  No swap needed
  Compare 39 and 42
  No swap needed
  Compare 42 and -24
  Swap 42 and -24
  List after swap: [-95, -25, -21, -55, -16, 9, 39, -24, 42, 76]

Pass 3:
  Compare -95 and -25
  No swap needed
  Compare -25 and -21
  No swap needed
  Compare -21 and -55
  Swap -21 and -55
  List after swap: [-95, -25, -55, -21, -16, 9, 39, -24, 42, 76]
  Compare -21 and -16
  No swap needed
  Compare -16 and 9
  No swap needed
  Compare 9 and 39
  No swap needed
  Compare 39 and -24
  Swap 39 and -24
  List after swap: [-95, -25, -55, -21, -16, 9, -24, 39, 42, 76]

Pass 4:
  Compare -95 and -25
  No swap needed
  Compare -25 and -55
  Swap -25 and -55
  List after swap: [-95, -55, -25, -21, -16, 9, -24, 39, 42, 76]
  Compare -25 and -21
  No swap needed
  Compare -21 and -16
  No swap needed
  Compare -16 and 9
  No swap needed
  Compare 9 and -24
  Swap 9 and -24
  List after swap: [-95, -55, -25, -21, -16, -24, 9, 39, 42, 76]

Pass 5:
  Compare -95 and -55
  No swap needed
  Compare -55 and -25
  No swap needed
  Compare -25 and -21
  No swap needed
  Compare -21 and -16
  No swap needed
  Compare -16 and -24
  Swap -16 and -24
  List after swap: [-95, -55, -25, -21, -24, -16, 9, 39, 42, 76]

Pass 6:
  Compare -95 and -55
  No swap needed
  Compare -55 and -25
  No swap needed
  Compare -25 and -21
  No swap needed
  Compare -21 and -24
  Swap -21 and -24
  List after swap: [-95, -55, -25, -24, -21, -16, 9, 39, 42, 76]

Pass 7:
  Compare -95 and -55
  No swap needed
  Compare -55 and -25
  No swap needed
  Compare -25 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -55, -25, -24, -21, -16, 9, 39, 42, 76]
</think>

<response>-95, -55, -25, -24, -21, -16, 9, 39, 42, 76</response>


input: Arrange the numbers 88, 37, -25, 44, -23, -59, 9 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [88, 37, -25, 44, -23, -59, 9]

Pass 1:
  Compare 88 and 37
  Swap 88 and 37
  List after swap: [37, 88, -25, 44, -23, -59, 9]
  Compare 88 and -25
  Swap 88 and -25
  List after swap: [37, -25, 88, 44, -23, -59, 9]
  Compare 88 and 44
  Swap 88 and 44
  List after swap: [37, -25, 44, 88, -23, -59, 9]
  Compare 88 and -23
  Swap 88 and -23
  List after swap: [37, -25, 44, -23, 88, -59, 9]
  Compare 88 and -59
  Swap 88 and -59
  List after swap: [37, -25, 44, -23, -59, 88, 9]
  Compare 88 and 9
  Swap 88 and 9
  List after swap: [37, -25, 44, -23, -59, 9, 88]

Pass 2:
  Compare 37 and -25
  Swap 37 and -25
  List after swap: [-25, 37, 44, -23, -59, 9, 88]
  Compare 37 and 44
  No swap needed
  Compare 44 and -23
  Swap 44 and -23
  List after swap: [-25, 37, -23, 44, -59, 9, 88]
  Compare 44 and -59
  Swap 44 and -59
  List after swap: [-25, 37, -23, -59, 44, 9, 88]
  Compare 44 and 9
  Swap 44 and 9
  List after swap: [-25, 37, -23, -59, 9, 44, 88]

Pass 3:
  Compare -25 and 37
  No swap needed
  Compare 37 and -23
  Swap 37 and -23
  List after swap: [-25, -23, 37, -59, 9, 44, 88]
  Compare 37 and -59
  Swap 37 and -59
  List after swap: [-25, -23, -59, 37, 9, 44, 88]
  Compare 37 and 9
  Swap 37 and 9
  List after swap: [-25, -23, -59, 9, 37, 44, 88]

Pass 4:
  Compare -25 and -23
  No swap needed
  Compare -23 and -59
  Swap -23 and -59
  List after swap: [-25, -59, -23, 9, 37, 44, 88]
  Compare -23 and 9
  No swap needed

Pass 5:
  Compare -25 and -59
  Swap -25 and -59
  List after swap: [-59, -25, -23, 9, 37, 44, 88]
  Compare -25 and -23
  No swap needed

Pass 6:
  Compare -59 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -25, -23, 9, 37, 44, 88]
</think>

<response>-59, -25, -23, 9, 37, 44, 88</response>


input: Arrange the numbers -9, 11, -19, 94 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-9, 11, -19, 94]

Pass 1:
  Compare -9 and 11
  No swap needed
  Compare 11 and -19
  Swap 11 and -19
  List after swap: [-9, -19, 11, 94]
  Compare 11 and 94
  No swap needed

Pass 2:
  Compare -9 and -19
  Swap -9 and -19
  List after swap: [-19, -9, 11, 94]
  Compare -9 and 11
  No swap needed

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

Final sorted list: [-19, -9, 11, 94]
</think>

<response>-19, -9, 11, 94</response>


input: Implement bubble sort on -22, 84, 20, 31, -100, -12, 76, -69 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-22, 84, 20, 31, -100, -12, 76, -69]

Pass 1:
  Compare -22 and 84
  No swap needed
  Compare 84 and 20
  Swap 84 and 20
  List after swap: [-22, 20, 84, 31, -100, -12, 76, -69]
  Compare 84 and 31
  Swap 84 and 31
  List after swap: [-22, 20, 31, 84, -100, -12, 76, -69]
  Compare 84 and -100
  Swap 84 and -100
  List after swap: [-22, 20, 31, -100, 84, -12, 76, -69]
  Compare 84 and -12
  Swap 84 and -12
  List after swap: [-22, 20, 31, -100, -12, 84, 76, -69]
  Compare 84 and 76
  Swap 84 and 76
  List after swap: [-22, 20, 31, -100, -12, 76, 84, -69]
  Compare 84 and -69
  Swap 84 and -69
  List after swap: [-22, 20, 31, -100, -12, 76, -69, 84]

Pass 2:
  Compare -22 and 20
  No swap needed
  Compare 20 and 31
  No swap needed
  Compare 31 and -100
  Swap 31 and -100
  List after swap: [-22, 20, -100, 31, -12, 76, -69, 84]
  Compare 31 and -12
  Swap 31 and -12
  List after swap: [-22, 20, -100, -12, 31, 76, -69, 84]
  Compare 31 and 76
  No swap needed
  Compare 76 and -69
  Swap 76 and -69
  List after swap: [-22, 20, -100, -12, 31, -69, 76, 84]

Pass 3:
  Compare -22 and 20
  No swap needed
  Compare 20 and -100
  Swap 20 and -100
  List after swap: [-22, -100, 20, -12, 31, -69, 76, 84]
  Compare 20 and -12
  Swap 20 and -12
  List after swap: [-22, -100, -12, 20, 31, -69, 76, 84]
  Compare 20 and 31
  No swap needed
  Compare 31 and -69
  Swap 31 and -69
  List after swap: [-22, -100, -12, 20, -69, 31, 76, 84]

Pass 4:
  Compare -22 and -100
  Swap -22 and -100
  List after swap: [-100, -22, -12, 20, -69, 31, 76, 84]
  Compare -22 and -12
  No swap needed
  Compare -12 and 20
  No swap needed
  Compare 20 and -69
  Swap 20 and -69
  List after swap: [-100, -22, -12, -69, 20, 31, 76, 84]

Pass 5:
  Compare -100 and -22
  No swap needed
  Compare -22 and -12
  No swap needed
  Compare -12 and -69
  Swap -12 and -69
  List after swap: [-100, -22, -69, -12, 20, 31, 76, 84]

Pass 6:
  Compare -100 and -22
  No swap needed
  Compare -22 and -69
  Swap -22 and -69
  List after swap: [-100, -69, -22, -12, 20, 31, 76, 84]

Pass 7:
  Compare -100 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -69, -22, -12, 20, 31, 76, 84]
</think>

<response>-100, -69, -22, -12, 20, 31, 76, 84</response>


input: Perform a bubble sort on the integers -56, -26, -89, 76, -14, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-56, -26, -89, 76, -14]

Pass 1:
  Compare -56 and -26
  No swap needed
  Compare -26 and -89
  Swap -26 and -89
  List after swap: [-56, -89, -26, 76, -14]
  Compare -26 and 76
  No swap needed
  Compare 76 and -14
  Swap 76 and -14
  List after swap: [-56, -89, -26, -14, 76]

Pass 2:
  Compare -56 and -89
  Swap -56 and -89
  List after swap: [-89, -56, -26, -14, 76]
  Compare -56 and -26
  No swap needed
  Compare -26 and -14
  No swap needed

Pass 3:
  Compare -89 and -56
  No swap needed
  Compare -56 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -56, -26, -14, 76]
</think>

<response>-89, -56, -26, -14, 76</response>


input: Implement bubble sort on 13, -23, 10, 33, -28, 79, -48, 72 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [13, -23, 10, 33, -28, 79, -48, 72]

Pass 1:
  Compare 13 and -23
  Swap 13 and -23
  List after swap: [-23, 13, 10, 33, -28, 79, -48, 72]
  Compare 13 and 10
  Swap 13 and 10
  List after swap: [-23, 10, 13, 33, -28, 79, -48, 72]
  Compare 13 and 33
  No swap needed
  Compare 33 and -28
  Swap 33 and -28
  List after swap: [-23, 10, 13, -28, 33, 79, -48, 72]
  Compare 33 and 79
  No swap needed
  Compare 79 and -48
  Swap 79 and -48
  List after swap: [-23, 10, 13, -28, 33, -48, 79, 72]
  Compare 79 and 72
  Swap 79 and 72
  List after swap: [-23, 10, 13, -28, 33, -48, 72, 79]

Pass 2:
  Compare -23 and 10
  No swap needed
  Compare 10 and 13
  No swap needed
  Compare 13 and -28
  Swap 13 and -28
  List after swap: [-23, 10, -28, 13, 33, -48, 72, 79]
  Compare 13 and 33
  No swap needed
  Compare 33 and -48
  Swap 33 and -48
  List after swap: [-23, 10, -28, 13, -48, 33, 72, 79]
  Compare 33 and 72
  No swap needed

Pass 3:
  Compare -23 and 10
  No swap needed
  Compare 10 and -28
  Swap 10 and -28
  List after swap: [-23, -28, 10, 13, -48, 33, 72, 79]
  Compare 10 and 13
  No swap needed
  Compare 13 and -48
  Swap 13 and -48
  List after swap: [-23, -28, 10, -48, 13, 33, 72, 79]
  Compare 13 and 33
  No swap needed

Pass 4:
  Compare -23 and -28
  Swap -23 and -28
  List after swap: [-28, -23, 10, -48, 13, 33, 72, 79]
  Compare -23 and 10
  No swap needed
  Compare 10 and -48
  Swap 10 and -48
  List after swap: [-28, -23, -48, 10, 13, 33, 72, 79]
  Compare 10 and 13
  No swap needed

Pass 5:
  Compare -28 and -23
  No swap needed
  Compare -23 and -48
  Swap -23 and -48
  List after swap: [-28, -48, -23, 10, 13, 33, 72, 79]
  Compare -23 and 10
  No swap needed

Pass 6:
  Compare -28 and -48
  Swap -28 and -48
  List after swap: [-48, -28, -23, 10, 13, 33, 72, 79]
  Compare -28 and -23
  No swap needed

Pass 7:
  Compare -48 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -28, -23, 10, 13, 33, 72, 79]
</think>

<response>-48, -28, -23, 10, 13, 33, 72, 79</response>


input: Arrange the numbers -67, 31, 39, 98, -32, -4 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-67, 31, 39, 98, -32, -4]

Pass 1:
  Compare -67 and 31
  No swap needed
  Compare 31 and 39
  No swap needed
  Compare 39 and 98
  No swap needed
  Compare 98 and -32
  Swap 98 and -32
  List after swap: [-67, 31, 39, -32, 98, -4]
  Compare 98 and -4
  Swap 98 and -4
  List after swap: [-67, 31, 39, -32, -4, 98]

Pass 2:
  Compare -67 and 31
  No swap needed
  Compare 31 and 39
  No swap needed
  Compare 39 and -32
  Swap 39 and -32
  List after swap: [-67, 31, -32, 39, -4, 98]
  Compare 39 and -4
  Swap 39 and -4
  List after swap: [-67, 31, -32, -4, 39, 98]

Pass 3:
  Compare -67 and 31
  No swap needed
  Compare 31 and -32
  Swap 31 and -32
  List after swap: [-67, -32, 31, -4, 39, 98]
  Compare 31 and -4
  Swap 31 and -4
  List after swap: [-67, -32, -4, 31, 39, 98]

Pass 4:
  Compare -67 and -32
  No swap needed
  Compare -32 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -32, -4, 31, 39, 98]
</think>

<response>-67, -32, -4, 31, 39, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -100, -67, -18, 98.

output:
<think>
Initial list: [-100, -67, -18, 98]

Pass 1:
  Compare -100 and -67
  No swap needed
  Compare -67 and -18
  No swap needed
  Compare -18 and 98
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -67, -18, 98]
</think>

<response>-100, -67, -18, 98</response>


input: Perform a bubble sort on the integers 58, -62, 30, 49, -82, 77, -8, -90, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [58, -62, 30, 49, -82, 77, -8, -90]

Pass 1:
  Compare 58 and -62
  Swap 58 and -62
  List after swap: [-62, 58, 30, 49, -82, 77, -8, -90]
  Compare 58 and 30
  Swap 58 and 30
  List after swap: [-62, 30, 58, 49, -82, 77, -8, -90]
  Compare 58 and 49
  Swap 58 and 49
  List after swap: [-62, 30, 49, 58, -82, 77, -8, -90]
  Compare 58 and -82
  Swap 58 and -82
  List after swap: [-62, 30, 49, -82, 58, 77, -8, -90]
  Compare 58 and 77
  No swap needed
  Compare 77 and -8
  Swap 77 and -8
  List after swap: [-62, 30, 49, -82, 58, -8, 77, -90]
  Compare 77 and -90
  Swap 77 and -90
  List after swap: [-62, 30, 49, -82, 58, -8, -90, 77]

Pass 2:
  Compare -62 and 30
  No swap needed
  Compare 30 and 49
  No swap needed
  Compare 49 and -82
  Swap 49 and -82
  List after swap: [-62, 30, -82, 49, 58, -8, -90, 77]
  Compare 49 and 58
  No swap needed
  Compare 58 and -8
  Swap 58 and -8
  List after swap: [-62, 30, -82, 49, -8, 58, -90, 77]
  Compare 58 and -90
  Swap 58 and -90
  List after swap: [-62, 30, -82, 49, -8, -90, 58, 77]

Pass 3:
  Compare -62 and 30
  No swap needed
  Compare 30 and -82
  Swap 30 and -82
  List after swap: [-62, -82, 30, 49, -8, -90, 58, 77]
  Compare 30 and 49
  No swap needed
  Compare 49 and -8
  Swap 49 and -8
  List after swap: [-62, -82, 30, -8, 49, -90, 58, 77]
  Compare 49 and -90
  Swap 49 and -90
  List after swap: [-62, -82, 30, -8, -90, 49, 58, 77]

Pass 4:
  Compare -62 and -82
  Swap -62 and -82
  List after swap: [-82, -62, 30, -8, -90, 49, 58, 77]
  Compare -62 and 30
  No swap needed
  Compare 30 and -8
  Swap 30 and -8
  List after swap: [-82, -62, -8, 30, -90, 49, 58, 77]
  Compare 30 and -90
  Swap 30 and -90
  List after swap: [-82, -62, -8, -90, 30, 49, 58, 77]

Pass 5:
  Compare -82 and -62
  No swap needed
  Compare -62 and -8
  No swap needed
  Compare -8 and -90
  Swap -8 and -90
  List after swap: [-82, -62, -90, -8, 30, 49, 58, 77]

Pass 6:
  Compare -82 and -62
  No swap needed
  Compare -62 and -90
  Swap -62 and -90
  List after swap: [-82, -90, -62, -8, 30, 49, 58, 77]

Pass 7:
  Compare -82 and -90
  Swap -82 and -90
  List after swap: [-90, -82, -62, -8, 30, 49, 58, 77]

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

Final sorted list: [-90, -82, -62, -8, 30, 49, 58, 77]
</think>

<response>-90, -82, -62, -8, 30, 49, 58, 77</response>


input: Execute bubble sort to sort 1, -4, 52, 54, -17, -53, -81, -94, 6 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [1, -4, 52, 54, -17, -53, -81, -94, 6]

Pass 1:
  Compare 1 and -4
  Swap 1 and -4
  List after swap: [-4, 1, 52, 54, -17, -53, -81, -94, 6]
  Compare 1 and 52
  No swap needed
  Compare 52 and 54
  No swap needed
  Compare 54 and -17
  Swap 54 and -17
  List after swap: [-4, 1, 52, -17, 54, -53, -81, -94, 6]
  Compare 54 and -53
  Swap 54 and -53
  List after swap: [-4, 1, 52, -17, -53, 54, -81, -94, 6]
  Compare 54 and -81
  Swap 54 and -81
  List after swap: [-4, 1, 52, -17, -53, -81, 54, -94, 6]
  Compare 54 and -94
  Swap 54 and -94
  List after swap: [-4, 1, 52, -17, -53, -81, -94, 54, 6]
  Compare 54 and 6
  Swap 54 and 6
  List after swap: [-4, 1, 52, -17, -53, -81, -94, 6, 54]

Pass 2:
  Compare -4 and 1
  No swap needed
  Compare 1 and 52
  No swap needed
  Compare 52 and -17
  Swap 52 and -17
  List after swap: [-4, 1, -17, 52, -53, -81, -94, 6, 54]
  Compare 52 and -53
  Swap 52 and -53
  List after swap: [-4, 1, -17, -53, 52, -81, -94, 6, 54]
  Compare 52 and -81
  Swap 52 and -81
  List after swap: [-4, 1, -17, -53, -81, 52, -94, 6, 54]
  Compare 52 and -94
  Swap 52 and -94
  List after swap: [-4, 1, -17, -53, -81, -94, 52, 6, 54]
  Compare 52 and 6
  Swap 52 and 6
  List after swap: [-4, 1, -17, -53, -81, -94, 6, 52, 54]

Pass 3:
  Compare -4 and 1
  No swap needed
  Compare 1 and -17
  Swap 1 and -17
  List after swap: [-4, -17, 1, -53, -81, -94, 6, 52, 54]
  Compare 1 and -53
  Swap 1 and -53
  List after swap: [-4, -17, -53, 1, -81, -94, 6, 52, 54]
  Compare 1 and -81
  Swap 1 and -81
  List after swap: [-4, -17, -53, -81, 1, -94, 6, 52, 54]
  Compare 1 and -94
  Swap 1 and -94
  List after swap: [-4, -17, -53, -81, -94, 1, 6, 52, 54]
  Compare 1 and 6
  No swap needed

Pass 4:
  Compare -4 and -17
  Swap -4 and -17
  List after swap: [-17, -4, -53, -81, -94, 1, 6, 52, 54]
  Compare -4 and -53
  Swap -4 and -53
  List after swap: [-17, -53, -4, -81, -94, 1, 6, 52, 54]
  Compare -4 and -81
  Swap -4 and -81
  List after swap: [-17, -53, -81, -4, -94, 1, 6, 52, 54]
  Compare -4 and -94
  Swap -4 and -94
  List after swap: [-17, -53, -81, -94, -4, 1, 6, 52, 54]
  Compare -4 and 1
  No swap needed

Pass 5:
  Compare -17 and -53
  Swap -17 and -53
  List after swap: [-53, -17, -81, -94, -4, 1, 6, 52, 54]
  Compare -17 and -81
  Swap -17 and -81
  List after swap: [-53, -81, -17, -94, -4, 1, 6, 52, 54]
  Compare -17 and -94
  Swap -17 and -94
  List after swap: [-53, -81, -94, -17, -4, 1, 6, 52, 54]
  Compare -17 and -4
  No swap needed

Pass 6:
  Compare -53 and -81
  Swap -53 and -81
  List after swap: [-81, -53, -94, -17, -4, 1, 6, 52, 54]
  Compare -53 and -94
  Swap -53 and -94
  List after swap: [-81, -94, -53, -17, -4, 1, 6, 52, 54]
  Compare -53 and -17
  No swap needed

Pass 7:
  Compare -81 and -94
  Swap -81 and -94
  List after swap: [-94, -81, -53, -17, -4, 1, 6, 52, 54]
  Compare -81 and -53
  No swap needed

Pass 8:
  Compare -94 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -81, -53, -17, -4, 1, 6, 52, 54]
</think>

<response>-94, -81, -53, -17, -4, 1, 6, 52, 54</response>


input: Execute bubble sort to sort -51, 92, -87 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-51, 92, -87]

Pass 1:
  Compare -51 and 92
  No swap needed
  Compare 92 and -87
  Swap 92 and -87
  List after swap: [-51, -87, 92]

Pass 2:
  Compare -51 and -87
  Swap -51 and -87
  List after swap: [-87, -51, 92]

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

Final sorted list: [-87, -51, 92]
</think>

<response>-87, -51, 92</response>


input: Sort the list 67, -16, -64 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [67, -16, -64]

Pass 1:
  Compare 67 and -16
  Swap 67 and -16
  List after swap: [-16, 67, -64]
  Compare 67 and -64
  Swap 67 and -64
  List after swap: [-16, -64, 67]

Pass 2:
  Compare -16 and -64
  Swap -16 and -64
  List after swap: [-64, -16, 67]

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

Final sorted list: [-64, -16, 67]
</think>

<response>-64, -16, 67</response>


input: Sort these integers 95, 73 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [95, 73]

Pass 1:
  Compare 95 and 73
  Swap 95 and 73
  List after swap: [73, 95]

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

Final sorted list: [73, 95]
</think>

<response>73, 95</response>


input: Arrange the numbers -47, 93, -83, 32, 87, -23, -77 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-47, 93, -83, 32, 87, -23, -77]

Pass 1:
  Compare -47 and 93
  No swap needed
  Compare 93 and -83
  Swap 93 and -83
  List after swap: [-47, -83, 93, 32, 87, -23, -77]
  Compare 93 and 32
  Swap 93 and 32
  List after swap: [-47, -83, 32, 93, 87, -23, -77]
  Compare 93 and 87
  Swap 93 and 87
  List after swap: [-47, -83, 32, 87, 93, -23, -77]
  Compare 93 and -23
  Swap 93 and -23
  List after swap: [-47, -83, 32, 87, -23, 93, -77]
  Compare 93 and -77
  Swap 93 and -77
  List after swap: [-47, -83, 32, 87, -23, -77, 93]

Pass 2:
  Compare -47 and -83
  Swap -47 and -83
  List after swap: [-83, -47, 32, 87, -23, -77, 93]
  Compare -47 and 32
  No swap needed
  Compare 32 and 87
  No swap needed
  Compare 87 and -23
  Swap 87 and -23
  List after swap: [-83, -47, 32, -23, 87, -77, 93]
  Compare 87 and -77
  Swap 87 and -77
  List after swap: [-83, -47, 32, -23, -77, 87, 93]

Pass 3:
  Compare -83 and -47
  No swap needed
  Compare -47 and 32
  No swap needed
  Compare 32 and -23
  Swap 32 and -23
  List after swap: [-83, -47, -23, 32, -77, 87, 93]
  Compare 32 and -77
  Swap 32 and -77
  List after swap: [-83, -47, -23, -77, 32, 87, 93]

Pass 4:
  Compare -83 and -47
  No swap needed
  Compare -47 and -23
  No swap needed
  Compare -23 and -77
  Swap -23 and -77
  List after swap: [-83, -47, -77, -23, 32, 87, 93]

Pass 5:
  Compare -83 and -47
  No swap needed
  Compare -47 and -77
  Swap -47 and -77
  List after swap: [-83, -77, -47, -23, 32, 87, 93]

Pass 6:
  Compare -83 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -77, -47, -23, 32, 87, 93]
</think>

<response>-83, -77, -47, -23, 32, 87, 93</response>


input: Using the bubble sort method, sort -88, 85, 18, -62, -4, 64, -68, -55 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-88, 85, 18, -62, -4, 64, -68, -55]

Pass 1:
  Compare -88 and 85
  No swap needed
  Compare 85 and 18
  Swap 85 and 18
  List after swap: [-88, 18, 85, -62, -4, 64, -68, -55]
  Compare 85 and -62
  Swap 85 and -62
  List after swap: [-88, 18, -62, 85, -4, 64, -68, -55]
  Compare 85 and -4
  Swap 85 and -4
  List after swap: [-88, 18, -62, -4, 85, 64, -68, -55]
  Compare 85 and 64
  Swap 85 and 64
  List after swap: [-88, 18, -62, -4, 64, 85, -68, -55]
  Compare 85 and -68
  Swap 85 and -68
  List after swap: [-88, 18, -62, -4, 64, -68, 85, -55]
  Compare 85 and -55
  Swap 85 and -55
  List after swap: [-88, 18, -62, -4, 64, -68, -55, 85]

Pass 2:
  Compare -88 and 18
  No swap needed
  Compare 18 and -62
  Swap 18 and -62
  List after swap: [-88, -62, 18, -4, 64, -68, -55, 85]
  Compare 18 and -4
  Swap 18 and -4
  List after swap: [-88, -62, -4, 18, 64, -68, -55, 85]
  Compare 18 and 64
  No swap needed
  Compare 64 and -68
  Swap 64 and -68
  List after swap: [-88, -62, -4, 18, -68, 64, -55, 85]
  Compare 64 and -55
  Swap 64 and -55
  List after swap: [-88, -62, -4, 18, -68, -55, 64, 85]

Pass 3:
  Compare -88 and -62
  No swap needed
  Compare -62 and -4
  No swap needed
  Compare -4 and 18
  No swap needed
  Compare 18 and -68
  Swap 18 and -68
  List after swap: [-88, -62, -4, -68, 18, -55, 64, 85]
  Compare 18 and -55
  Swap 18 and -55
  List after swap: [-88, -62, -4, -68, -55, 18, 64, 85]

Pass 4:
  Compare -88 and -62
  No swap needed
  Compare -62 and -4
  No swap needed
  Compare -4 and -68
  Swap -4 and -68
  List after swap: [-88, -62, -68, -4, -55, 18, 64, 85]
  Compare -4 and -55
  Swap -4 and -55
  List after swap: [-88, -62, -68, -55, -4, 18, 64, 85]

Pass 5:
  Compare -88 and -62
  No swap needed
  Compare -62 and -68
  Swap -62 and -68
  List after swap: [-88, -68, -62, -55, -4, 18, 64, 85]
  Compare -62 and -55
  No swap needed

Pass 6:
  Compare -88 and -68
  No swap needed
  Compare -68 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -68, -62, -55, -4, 18, 64, 85]
</think>

<response>-88, -68, -62, -55, -4, 18, 64, 85</response>


input: Perform a bubble sort on the integers 1, 13, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [1, 13]

Pass 1:
  Compare 1 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [1, 13]
</think>

<response>1, 13</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -77, -95, -75, 39.

output:
<think>
Initial list: [-77, -95, -75, 39]

Pass 1:
  Compare -77 and -95
  Swap -77 and -95
  List after swap: [-95, -77, -75, 39]
  Compare -77 and -75
  No swap needed
  Compare -75 and 39
  No swap needed

Pass 2:
  Compare -95 and -77
  No swap needed
  Compare -77 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -77, -75, 39]
</think>

<response>-95, -77, -75, 39</response>


input: Execute bubble sort to sort -86, 42, -79, -59, -3 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-86, 42, -79, -59, -3]

Pass 1:
  Compare -86 and 42
  No swap needed
  Compare 42 and -79
  Swap 42 and -79
  List after swap: [-86, -79, 42, -59, -3]
  Compare 42 and -59
  Swap 42 and -59
  List after swap: [-86, -79, -59, 42, -3]
  Compare 42 and -3
  Swap 42 and -3
  List after swap: [-86, -79, -59, -3, 42]

Pass 2:
  Compare -86 and -79
  No swap needed
  Compare -79 and -59
  No swap needed
  Compare -59 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -79, -59, -3, 42]
</think>

<response>-86, -79, -59, -3, 42</response>


input: Use the bubble sort technique to reorder 12, 8, 35, 96, -94, -69, -52, 98, -68, 16 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [12, 8, 35, 96, -94, -69, -52, 98, -68, 16]

Pass 1:
  Compare 12 and 8
  Swap 12 and 8
  List after swap: [8, 12, 35, 96, -94, -69, -52, 98, -68, 16]
  Compare 12 and 35
  No swap needed
  Compare 35 and 96
  No swap needed
  Compare 96 and -94
  Swap 96 and -94
  List after swap: [8, 12, 35, -94, 96, -69, -52, 98, -68, 16]
  Compare 96 and -69
  Swap 96 and -69
  List after swap: [8, 12, 35, -94, -69, 96, -52, 98, -68, 16]
  Compare 96 and -52
  Swap 96 and -52
  List after swap: [8, 12, 35, -94, -69, -52, 96, 98, -68, 16]
  Compare 96 and 98
  No swap needed
  Compare 98 and -68
  Swap 98 and -68
  List after swap: [8, 12, 35, -94, -69, -52, 96, -68, 98, 16]
  Compare 98 and 16
  Swap 98 and 16
  List after swap: [8, 12, 35, -94, -69, -52, 96, -68, 16, 98]

Pass 2:
  Compare 8 and 12
  No swap needed
  Compare 12 and 35
  No swap needed
  Compare 35 and -94
  Swap 35 and -94
  List after swap: [8, 12, -94, 35, -69, -52, 96, -68, 16, 98]
  Compare 35 and -69
  Swap 35 and -69
  List after swap: [8, 12, -94, -69, 35, -52, 96, -68, 16, 98]
  Compare 35 and -52
  Swap 35 and -52
  List after swap: [8, 12, -94, -69, -52, 35, 96, -68, 16, 98]
  Compare 35 and 96
  No swap needed
  Compare 96 and -68
  Swap 96 and -68
  List after swap: [8, 12, -94, -69, -52, 35, -68, 96, 16, 98]
  Compare 96 and 16
  Swap 96 and 16
  List after swap: [8, 12, -94, -69, -52, 35, -68, 16, 96, 98]

Pass 3:
  Compare 8 and 12
  No swap needed
  Compare 12 and -94
  Swap 12 and -94
  List after swap: [8, -94, 12, -69, -52, 35, -68, 16, 96, 98]
  Compare 12 and -69
  Swap 12 and -69
  List after swap: [8, -94, -69, 12, -52, 35, -68, 16, 96, 98]
  Compare 12 and -52
  Swap 12 and -52
  List after swap: [8, -94, -69, -52, 12, 35, -68, 16, 96, 98]
  Compare 12 and 35
  No swap needed
  Compare 35 and -68
  Swap 35 and -68
  List after swap: [8, -94, -69, -52, 12, -68, 35, 16, 96, 98]
  Compare 35 and 16
  Swap 35 and 16
  List after swap: [8, -94, -69, -52, 12, -68, 16, 35, 96, 98]

Pass 4:
  Compare 8 and -94
  Swap 8 and -94
  List after swap: [-94, 8, -69, -52, 12, -68, 16, 35, 96, 98]
  Compare 8 and -69
  Swap 8 and -69
  List after swap: [-94, -69, 8, -52, 12, -68, 16, 35, 96, 98]
  Compare 8 and -52
  Swap 8 and -52
  List after swap: [-94, -69, -52, 8, 12, -68, 16, 35, 96, 98]
  Compare 8 and 12
  No swap needed
  Compare 12 and -68
  Swap 12 and -68
  List after swap: [-94, -69, -52, 8, -68, 12, 16, 35, 96, 98]
  Compare 12 and 16
  No swap needed

Pass 5:
  Compare -94 and -69
  No swap needed
  Compare -69 and -52
  No swap needed
  Compare -52 and 8
  No swap needed
  Compare 8 and -68
  Swap 8 and -68
  List after swap: [-94, -69, -52, -68, 8, 12, 16, 35, 96, 98]
  Compare 8 and 12
  No swap needed

Pass 6:
  Compare -94 and -69
  No swap needed
  Compare -69 and -52
  No swap needed
  Compare -52 and -68
  Swap -52 and -68
  List after swap: [-94, -69, -68, -52, 8, 12, 16, 35, 96, 98]
  Compare -52 and 8
  No swap needed

Pass 7:
  Compare -94 and -69
  No swap needed
  Compare -69 and -68
  No swap needed
  Compare -68 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -69, -68, -52, 8, 12, 16, 35, 96, 98]
</think>

<response>-94, -69, -68, -52, 8, 12, 16, 35, 96, 98</response>


input: Sort these integers 46, 49, -54, 12, 28, -82, -12, 3, -20 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [46, 49, -54, 12, 28, -82, -12, 3, -20]

Pass 1:
  Compare 46 and 49
  No swap needed
  Compare 49 and -54
  Swap 49 and -54
  List after swap: [46, -54, 49, 12, 28, -82, -12, 3, -20]
  Compare 49 and 12
  Swap 49 and 12
  List after swap: [46, -54, 12, 49, 28, -82, -12, 3, -20]
  Compare 49 and 28
  Swap 49 and 28
  List after swap: [46, -54, 12, 28, 49, -82, -12, 3, -20]
  Compare 49 and -82
  Swap 49 and -82
  List after swap: [46, -54, 12, 28, -82, 49, -12, 3, -20]
  Compare 49 and -12
  Swap 49 and -12
  List after swap: [46, -54, 12, 28, -82, -12, 49, 3, -20]
  Compare 49 and 3
  Swap 49 and 3
  List after swap: [46, -54, 12, 28, -82, -12, 3, 49, -20]
  Compare 49 and -20
  Swap 49 and -20
  List after swap: [46, -54, 12, 28, -82, -12, 3, -20, 49]

Pass 2:
  Compare 46 and -54
  Swap 46 and -54
  List after swap: [-54, 46, 12, 28, -82, -12, 3, -20, 49]
  Compare 46 and 12
  Swap 46 and 12
  List after swap: [-54, 12, 46, 28, -82, -12, 3, -20, 49]
  Compare 46 and 28
  Swap 46 and 28
  List after swap: [-54, 12, 28, 46, -82, -12, 3, -20, 49]
  Compare 46 and -82
  Swap 46 and -82
  List after swap: [-54, 12, 28, -82, 46, -12, 3, -20, 49]
  Compare 46 and -12
  Swap 46 and -12
  List after swap: [-54, 12, 28, -82, -12, 46, 3, -20, 49]
  Compare 46 and 3
  Swap 46 and 3
  List after swap: [-54, 12, 28, -82, -12, 3, 46, -20, 49]
  Compare 46 and -20
  Swap 46 and -20
  List after swap: [-54, 12, 28, -82, -12, 3, -20, 46, 49]

Pass 3:
  Compare -54 and 12
  No swap needed
  Compare 12 and 28
  No swap needed
  Compare 28 and -82
  Swap 28 and -82
  List after swap: [-54, 12, -82, 28, -12, 3, -20, 46, 49]
  Compare 28 and -12
  Swap 28 and -12
  List after swap: [-54, 12, -82, -12, 28, 3, -20, 46, 49]
  Compare 28 and 3
  Swap 28 and 3
  List after swap: [-54, 12, -82, -12, 3, 28, -20, 46, 49]
  Compare 28 and -20
  Swap 28 and -20
  List after swap: [-54, 12, -82, -12, 3, -20, 28, 46, 49]

Pass 4:
  Compare -54 and 12
  No swap needed
  Compare 12 and -82
  Swap 12 and -82
  List after swap: [-54, -82, 12, -12, 3, -20, 28, 46, 49]
  Compare 12 and -12
  Swap 12 and -12
  List after swap: [-54, -82, -12, 12, 3, -20, 28, 46, 49]
  Compare 12 and 3
  Swap 12 and 3
  List after swap: [-54, -82, -12, 3, 12, -20, 28, 46, 49]
  Compare 12 and -20
  Swap 12 and -20
  List after swap: [-54, -82, -12, 3, -20, 12, 28, 46, 49]

Pass 5:
  Compare -54 and -82
  Swap -54 and -82
  List after swap: [-82, -54, -12, 3, -20, 12, 28, 46, 49]
  Compare -54 and -12
  No swap needed
  Compare -12 and 3
  No swap needed
  Compare 3 and -20
  Swap 3 and -20
  List after swap: [-82, -54, -12, -20, 3, 12, 28, 46, 49]

Pass 6:
  Compare -82 and -54
  No swap needed
  Compare -54 and -12
  No swap needed
  Compare -12 and -20
  Swap -12 and -20
  List after swap: [-82, -54, -20, -12, 3, 12, 28, 46, 49]

Pass 7:
  Compare -82 and -54
  No swap needed
  Compare -54 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -54, -20, -12, 3, 12, 28, 46, 49]
</think>

<response>-82, -54, -20, -12, 3, 12, 28, 46, 49</response>


input: Sort the list 41, 28, 5, 90, -20 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [41, 28, 5, 90, -20]

Pass 1:
  Compare 41 and 28
  Swap 41 and 28
  List after swap: [28, 41, 5, 90, -20]
  Compare 41 and 5
  Swap 41 and 5
  List after swap: [28, 5, 41, 90, -20]
  Compare 41 and 90
  No swap needed
  Compare 90 and -20
  Swap 90 and -20
  List after swap: [28, 5, 41, -20, 90]

Pass 2:
  Compare 28 and 5
  Swap 28 and 5
  List after swap: [5, 28, 41, -20, 90]
  Compare 28 and 41
  No swap needed
  Compare 41 and -20
  Swap 41 and -20
  List after swap: [5, 28, -20, 41, 90]

Pass 3:
  Compare 5 and 28
  No swap needed
  Compare 28 and -20
  Swap 28 and -20
  List after swap: [5, -20, 28, 41, 90]

Pass 4:
  Compare 5 and -20
  Swap 5 and -20
  List after swap: [-20, 5, 28, 41, 90]

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

Final sorted list: [-20, 5, 28, 41, 90]
</think>

<response>-20, 5, 28, 41, 90</response>


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

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

Pass 1:
  Compare 7 and -30
  Swap 7 and -30
  List after swap: [-30, 7]

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

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

<response>-30, 7</response>


input: Carry out the bubble sort algorithm on -38, -87, 18, 26, -71, 24, -74, 0, 23, -61 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-38, -87, 18, 26, -71, 24, -74, 0, 23, -61]

Pass 1:
  Compare -38 and -87
  Swap -38 and -87
  List after swap: [-87, -38, 18, 26, -71, 24, -74, 0, 23, -61]
  Compare -38 and 18
  No swap needed
  Compare 18 and 26
  No swap needed
  Compare 26 and -71
  Swap 26 and -71
  List after swap: [-87, -38, 18, -71, 26, 24, -74, 0, 23, -61]
  Compare 26 and 24
  Swap 26 and 24
  List after swap: [-87, -38, 18, -71, 24, 26, -74, 0, 23, -61]
  Compare 26 and -74
  Swap 26 and -74
  List after swap: [-87, -38, 18, -71, 24, -74, 26, 0, 23, -61]
  Compare 26 and 0
  Swap 26 and 0
  List after swap: [-87, -38, 18, -71, 24, -74, 0, 26, 23, -61]
  Compare 26 and 23
  Swap 26 and 23
  List after swap: [-87, -38, 18, -71, 24, -74, 0, 23, 26, -61]
  Compare 26 and -61
  Swap 26 and -61
  List after swap: [-87, -38, 18, -71, 24, -74, 0, 23, -61, 26]

Pass 2:
  Compare -87 and -38
  No swap needed
  Compare -38 and 18
  No swap needed
  Compare 18 and -71
  Swap 18 and -71
  List after swap: [-87, -38, -71, 18, 24, -74, 0, 23, -61, 26]
  Compare 18 and 24
  No swap needed
  Compare 24 and -74
  Swap 24 and -74
  List after swap: [-87, -38, -71, 18, -74, 24, 0, 23, -61, 26]
  Compare 24 and 0
  Swap 24 and 0
  List after swap: [-87, -38, -71, 18, -74, 0, 24, 23, -61, 26]
  Compare 24 and 23
  Swap 24 and 23
  List after swap: [-87, -38, -71, 18, -74, 0, 23, 24, -61, 26]
  Compare 24 and -61
  Swap 24 and -61
  List after swap: [-87, -38, -71, 18, -74, 0, 23, -61, 24, 26]

Pass 3:
  Compare -87 and -38
  No swap needed
  Compare -38 and -71
  Swap -38 and -71
  List after swap: [-87, -71, -38, 18, -74, 0, 23, -61, 24, 26]
  Compare -38 and 18
  No swap needed
  Compare 18 and -74
  Swap 18 and -74
  List after swap: [-87, -71, -38, -74, 18, 0, 23, -61, 24, 26]
  Compare 18 and 0
  Swap 18 and 0
  List after swap: [-87, -71, -38, -74, 0, 18, 23, -61, 24, 26]
  Compare 18 and 23
  No swap needed
  Compare 23 and -61
  Swap 23 and -61
  List after swap: [-87, -71, -38, -74, 0, 18, -61, 23, 24, 26]

Pass 4:
  Compare -87 and -71
  No swap needed
  Compare -71 and -38
  No swap needed
  Compare -38 and -74
  Swap -38 and -74
  List after swap: [-87, -71, -74, -38, 0, 18, -61, 23, 24, 26]
  Compare -38 and 0
  No swap needed
  Compare 0 and 18
  No swap needed
  Compare 18 and -61
  Swap 18 and -61
  List after swap: [-87, -71, -74, -38, 0, -61, 18, 23, 24, 26]

Pass 5:
  Compare -87 and -71
  No swap needed
  Compare -71 and -74
  Swap -71 and -74
  List after swap: [-87, -74, -71, -38, 0, -61, 18, 23, 24, 26]
  Compare -71 and -38
  No swap needed
  Compare -38 and 0
  No swap needed
  Compare 0 and -61
  Swap 0 and -61
  List after swap: [-87, -74, -71, -38, -61, 0, 18, 23, 24, 26]

Pass 6:
  Compare -87 and -74
  No swap needed
  Compare -74 and -71
  No swap needed
  Compare -71 and -38
  No swap needed
  Compare -38 and -61
  Swap -38 and -61
  List after swap: [-87, -74, -71, -61, -38, 0, 18, 23, 24, 26]

Pass 7:
  Compare -87 and -74
  No swap needed
  Compare -74 and -71
  No swap needed
  Compare -71 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -74, -71, -61, -38, 0, 18, 23, 24, 26]
</think>

<response>-87, -74, -71, -61, -38, 0, 18, 23, 24, 26</response>


input: Implement bubble sort on 13, 34, 57, -65, 87, -43, -95, 66 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [13, 34, 57, -65, 87, -43, -95, 66]

Pass 1:
  Compare 13 and 34
  No swap needed
  Compare 34 and 57
  No swap needed
  Compare 57 and -65
  Swap 57 and -65
  List after swap: [13, 34, -65, 57, 87, -43, -95, 66]
  Compare 57 and 87
  No swap needed
  Compare 87 and -43
  Swap 87 and -43
  List after swap: [13, 34, -65, 57, -43, 87, -95, 66]
  Compare 87 and -95
  Swap 87 and -95
  List after swap: [13, 34, -65, 57, -43, -95, 87, 66]
  Compare 87 and 66
  Swap 87 and 66
  List after swap: [13, 34, -65, 57, -43, -95, 66, 87]

Pass 2:
  Compare 13 and 34
  No swap needed
  Compare 34 and -65
  Swap 34 and -65
  List after swap: [13, -65, 34, 57, -43, -95, 66, 87]
  Compare 34 and 57
  No swap needed
  Compare 57 and -43
  Swap 57 and -43
  List after swap: [13, -65, 34, -43, 57, -95, 66, 87]
  Compare 57 and -95
  Swap 57 and -95
  List after swap: [13, -65, 34, -43, -95, 57, 66, 87]
  Compare 57 and 66
  No swap needed

Pass 3:
  Compare 13 and -65
  Swap 13 and -65
  List after swap: [-65, 13, 34, -43, -95, 57, 66, 87]
  Compare 13 and 34
  No swap needed
  Compare 34 and -43
  Swap 34 and -43
  List after swap: [-65, 13, -43, 34, -95, 57, 66, 87]
  Compare 34 and -95
  Swap 34 and -95
  List after swap: [-65, 13, -43, -95, 34, 57, 66, 87]
  Compare 34 and 57
  No swap needed

Pass 4:
  Compare -65 and 13
  No swap needed
  Compare 13 and -43
  Swap 13 and -43
  List after swap: [-65, -43, 13, -95, 34, 57, 66, 87]
  Compare 13 and -95
  Swap 13 and -95
  List after swap: [-65, -43, -95, 13, 34, 57, 66, 87]
  Compare 13 and 34
  No swap needed

Pass 5:
  Compare -65 and -43
  No swap needed
  Compare -43 and -95
  Swap -43 and -95
  List after swap: [-65, -95, -43, 13, 34, 57, 66, 87]
  Compare -43 and 13
  No swap needed

Pass 6:
  Compare -65 and -95
  Swap -65 and -95
  List after swap: [-95, -65, -43, 13, 34, 57, 66, 87]
  Compare -65 and -43
  No swap needed

Pass 7:
  Compare -95 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -65, -43, 13, 34, 57, 66, 87]
</think>

<response>-95, -65, -43, 13, 34, 57, 66, 87</response>


input: Demonstrate how bubble sort orders the integers 74, -3, -63, 51 in ascending sequence, showing all steps.

output:
<think>
Initial list: [74, -3, -63, 51]

Pass 1:
  Compare 74 and -3
  Swap 74 and -3
  List after swap: [-3, 74, -63, 51]
  Compare 74 and -63
  Swap 74 and -63
  List after swap: [-3, -63, 74, 51]
  Compare 74 and 51
  Swap 74 and 51
  List after swap: [-3, -63, 51, 74]

Pass 2:
  Compare -3 and -63
  Swap -3 and -63
  List after swap: [-63, -3, 51, 74]
  Compare -3 and 51
  No swap needed

Pass 3:
  Compare -63 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -3, 51, 74]
</think>

<response>-63, -3, 51, 74</response>


input: Execute bubble sort to sort 82, -84, -50, -5, -90, 63, -89, 21, -61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [82, -84, -50, -5, -90, 63, -89, 21, -61]

Pass 1:
  Compare 82 and -84
  Swap 82 and -84
  List after swap: [-84, 82, -50, -5, -90, 63, -89, 21, -61]
  Compare 82 and -50
  Swap 82 and -50
  List after swap: [-84, -50, 82, -5, -90, 63, -89, 21, -61]
  Compare 82 and -5
  Swap 82 and -5
  List after swap: [-84, -50, -5, 82, -90, 63, -89, 21, -61]
  Compare 82 and -90
  Swap 82 and -90
  List after swap: [-84, -50, -5, -90, 82, 63, -89, 21, -61]
  Compare 82 and 63
  Swap 82 and 63
  List after swap: [-84, -50, -5, -90, 63, 82, -89, 21, -61]
  Compare 82 and -89
  Swap 82 and -89
  List after swap: [-84, -50, -5, -90, 63, -89, 82, 21, -61]
  Compare 82 and 21
  Swap 82 and 21
  List after swap: [-84, -50, -5, -90, 63, -89, 21, 82, -61]
  Compare 82 and -61
  Swap 82 and -61
  List after swap: [-84, -50, -5, -90, 63, -89, 21, -61, 82]

Pass 2:
  Compare -84 and -50
  No swap needed
  Compare -50 and -5
  No swap needed
  Compare -5 and -90
  Swap -5 and -90
  List after swap: [-84, -50, -90, -5, 63, -89, 21, -61, 82]
  Compare -5 and 63
  No swap needed
  Compare 63 and -89
  Swap 63 and -89
  List after swap: [-84, -50, -90, -5, -89, 63, 21, -61, 82]
  Compare 63 and 21
  Swap 63 and 21
  List after swap: [-84, -50, -90, -5, -89, 21, 63, -61, 82]
  Compare 63 and -61
  Swap 63 and -61
  List after swap: [-84, -50, -90, -5, -89, 21, -61, 63, 82]

Pass 3:
  Compare -84 and -50
  No swap needed
  Compare -50 and -90
  Swap -50 and -90
  List after swap: [-84, -90, -50, -5, -89, 21, -61, 63, 82]
  Compare -50 and -5
  No swap needed
  Compare -5 and -89
  Swap -5 and -89
  List after swap: [-84, -90, -50, -89, -5, 21, -61, 63, 82]
  Compare -5 and 21
  No swap needed
  Compare 21 and -61
  Swap 21 and -61
  List after swap: [-84, -90, -50, -89, -5, -61, 21, 63, 82]

Pass 4:
  Compare -84 and -90
  Swap -84 and -90
  List after swap: [-90, -84, -50, -89, -5, -61, 21, 63, 82]
  Compare -84 and -50
  No swap needed
  Compare -50 and -89
  Swap -50 and -89
  List after swap: [-90, -84, -89, -50, -5, -61, 21, 63, 82]
  Compare -50 and -5
  No swap needed
  Compare -5 and -61
  Swap -5 and -61
  List after swap: [-90, -84, -89, -50, -61, -5, 21, 63, 82]

Pass 5:
  Compare -90 and -84
  No swap needed
  Compare -84 and -89
  Swap -84 and -89
  List after swap: [-90, -89, -84, -50, -61, -5, 21, 63, 82]
  Compare -84 and -50
  No swap needed
  Compare -50 and -61
  Swap -50 and -61
  List after swap: [-90, -89, -84, -61, -50, -5, 21, 63, 82]

Pass 6:
  Compare -90 and -89
  No swap needed
  Compare -89 and -84
  No swap needed
  Compare -84 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -89, -84, -61, -50, -5, 21, 63, 82]
</think>

<response>-90, -89, -84, -61, -50, -5, 21, 63, 82</response>


input: Use the bubble sort technique to reorder -34, -50, -13, 35, 96 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-34, -50, -13, 35, 96]

Pass 1:
  Compare -34 and -50
  Swap -34 and -50
  List after swap: [-50, -34, -13, 35, 96]
  Compare -34 and -13
  No swap needed
  Compare -13 and 35
  No swap needed
  Compare 35 and 96
  No swap needed

Pass 2:
  Compare -50 and -34
  No swap needed
  Compare -34 and -13
  No swap needed
  Compare -13 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -34, -13, 35, 96]
</think>

<response>-50, -34, -13, 35, 96</response>


input: Sort the list 10, 82, 91 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [10, 82, 91]

Pass 1:
  Compare 10 and 82
  No swap needed
  Compare 82 and 91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [10, 82, 91]
</think>

<response>10, 82, 91</response>


input: Use the bubble sort technique to reorder -9, -32, 8, -86, -35, 44, -66 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-9, -32, 8, -86, -35, 44, -66]

Pass 1:
  Compare -9 and -32
  Swap -9 and -32
  List after swap: [-32, -9, 8, -86, -35, 44, -66]
  Compare -9 and 8
  No swap needed
  Compare 8 and -86
  Swap 8 and -86
  List after swap: [-32, -9, -86, 8, -35, 44, -66]
  Compare 8 and -35
  Swap 8 and -35
  List after swap: [-32, -9, -86, -35, 8, 44, -66]
  Compare 8 and 44
  No swap needed
  Compare 44 and -66
  Swap 44 and -66
  List after swap: [-32, -9, -86, -35, 8, -66, 44]

Pass 2:
  Compare -32 and -9
  No swap needed
  Compare -9 and -86
  Swap -9 and -86
  List after swap: [-32, -86, -9, -35, 8, -66, 44]
  Compare -9 and -35
  Swap -9 and -35
  List after swap: [-32, -86, -35, -9, 8, -66, 44]
  Compare -9 and 8
  No swap needed
  Compare 8 and -66
  Swap 8 and -66
  List after swap: [-32, -86, -35, -9, -66, 8, 44]

Pass 3:
  Compare -32 and -86
  Swap -32 and -86
  List after swap: [-86, -32, -35, -9, -66, 8, 44]
  Compare -32 and -35
  Swap -32 and -35
  List after swap: [-86, -35, -32, -9, -66, 8, 44]
  Compare -32 and -9
  No swap needed
  Compare -9 and -66
  Swap -9 and -66
  List after swap: [-86, -35, -32, -66, -9, 8, 44]

Pass 4:
  Compare -86 and -35
  No swap needed
  Compare -35 and -32
  No swap needed
  Compare -32 and -66
  Swap -32 and -66
  List after swap: [-86, -35, -66, -32, -9, 8, 44]

Pass 5:
  Compare -86 and -35
  No swap needed
  Compare -35 and -66
  Swap -35 and -66
  List after swap: [-86, -66, -35, -32, -9, 8, 44]

Pass 6:
  Compare -86 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -66, -35, -32, -9, 8, 44]
</think>

<response>-86, -66, -35, -32, -9, 8, 44</response>


input: Sort these integers 18, 70, 48, 32, -50, 3 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [18, 70, 48, 32, -50, 3]

Pass 1:
  Compare 18 and 70
  No swap needed
  Compare 70 and 48
  Swap 70 and 48
  List after swap: [18, 48, 70, 32, -50, 3]
  Compare 70 and 32
  Swap 70 and 32
  List after swap: [18, 48, 32, 70, -50, 3]
  Compare 70 and -50
  Swap 70 and -50
  List after swap: [18, 48, 32, -50, 70, 3]
  Compare 70 and 3
  Swap 70 and 3
  List after swap: [18, 48, 32, -50, 3, 70]

Pass 2:
  Compare 18 and 48
  No swap needed
  Compare 48 and 32
  Swap 48 and 32
  List after swap: [18, 32, 48, -50, 3, 70]
  Compare 48 and -50
  Swap 48 and -50
  List after swap: [18, 32, -50, 48, 3, 70]
  Compare 48 and 3
  Swap 48 and 3
  List after swap: [18, 32, -50, 3, 48, 70]

Pass 3:
  Compare 18 and 32
  No swap needed
  Compare 32 and -50
  Swap 32 and -50
  List after swap: [18, -50, 32, 3, 48, 70]
  Compare 32 and 3
  Swap 32 and 3
  List after swap: [18, -50, 3, 32, 48, 70]

Pass 4:
  Compare 18 and -50
  Swap 18 and -50
  List after swap: [-50, 18, 3, 32, 48, 70]
  Compare 18 and 3
  Swap 18 and 3
  List after swap: [-50, 3, 18, 32, 48, 70]

Pass 5:
  Compare -50 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 3, 18, 32, 48, 70]
</think>

<response>-50, 3, 18, 32, 48, 70</response>


input: Demonstrate how bubble sort orders the integers 2, -42, 54 in ascending sequence, showing all steps.

output:
<think>
Initial list: [2, -42, 54]

Pass 1:
  Compare 2 and -42
  Swap 2 and -42
  List after swap: [-42, 2, 54]
  Compare 2 and 54
  No swap needed

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

Final sorted list: [-42, 2, 54]
</think>

<response>-42, 2, 54</response>


input: Sort the list -72, -79, -94, 91, 33, -36 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-72, -79, -94, 91, 33, -36]

Pass 1:
  Compare -72 and -79
  Swap -72 and -79
  List after swap: [-79, -72, -94, 91, 33, -36]
  Compare -72 and -94
  Swap -72 and -94
  List after swap: [-79, -94, -72, 91, 33, -36]
  Compare -72 and 91
  No swap needed
  Compare 91 and 33
  Swap 91 and 33
  List after swap: [-79, -94, -72, 33, 91, -36]
  Compare 91 and -36
  Swap 91 and -36
  List after swap: [-79, -94, -72, 33, -36, 91]

Pass 2:
  Compare -79 and -94
  Swap -79 and -94
  List after swap: [-94, -79, -72, 33, -36, 91]
  Compare -79 and -72
  No swap needed
  Compare -72 and 33
  No swap needed
  Compare 33 and -36
  Swap 33 and -36
  List after swap: [-94, -79, -72, -36, 33, 91]

Pass 3:
  Compare -94 and -79
  No swap needed
  Compare -79 and -72
  No swap needed
  Compare -72 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -79, -72, -36, 33, 91]
</think>

<response>-94, -79, -72, -36, 33, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 71, -23, 2, 48, 94, -37, 88, 28, 64.

output:
<think>
Initial list: [71, -23, 2, 48, 94, -37, 88, 28, 64]

Pass 1:
  Compare 71 and -23
  Swap 71 and -23
  List after swap: [-23, 71, 2, 48, 94, -37, 88, 28, 64]
  Compare 71 and 2
  Swap 71 and 2
  List after swap: [-23, 2, 71, 48, 94, -37, 88, 28, 64]
  Compare 71 and 48
  Swap 71 and 48
  List after swap: [-23, 2, 48, 71, 94, -37, 88, 28, 64]
  Compare 71 and 94
  No swap needed
  Compare 94 and -37
  Swap 94 and -37
  List after swap: [-23, 2, 48, 71, -37, 94, 88, 28, 64]
  Compare 94 and 88
  Swap 94 and 88
  List after swap: [-23, 2, 48, 71, -37, 88, 94, 28, 64]
  Compare 94 and 28
  Swap 94 and 28
  List after swap: [-23, 2, 48, 71, -37, 88, 28, 94, 64]
  Compare 94 and 64
  Swap 94 and 64
  List after swap: [-23, 2, 48, 71, -37, 88, 28, 64, 94]

Pass 2:
  Compare -23 and 2
  No swap needed
  Compare 2 and 48
  No swap needed
  Compare 48 and 71
  No swap needed
  Compare 71 and -37
  Swap 71 and -37
  List after swap: [-23, 2, 48, -37, 71, 88, 28, 64, 94]
  Compare 71 and 88
  No swap needed
  Compare 88 and 28
  Swap 88 and 28
  List after swap: [-23, 2, 48, -37, 71, 28, 88, 64, 94]
  Compare 88 and 64
  Swap 88 and 64
  List after swap: [-23, 2, 48, -37, 71, 28, 64, 88, 94]

Pass 3:
  Compare -23 and 2
  No swap needed
  Compare 2 and 48
  No swap needed
  Compare 48 and -37
  Swap 48 and -37
  List after swap: [-23, 2, -37, 48, 71, 28, 64, 88, 94]
  Compare 48 and 71
  No swap needed
  Compare 71 and 28
  Swap 71 and 28
  List after swap: [-23, 2, -37, 48, 28, 71, 64, 88, 94]
  Compare 71 and 64
  Swap 71 and 64
  List after swap: [-23, 2, -37, 48, 28, 64, 71, 88, 94]

Pass 4:
  Compare -23 and 2
  No swap needed
  Compare 2 and -37
  Swap 2 and -37
  List after swap: [-23, -37, 2, 48, 28, 64, 71, 88, 94]
  Compare 2 and 48
  No swap needed
  Compare 48 and 28
  Swap 48 and 28
  List after swap: [-23, -37, 2, 28, 48, 64, 71, 88, 94]
  Compare 48 and 64
  No swap needed

Pass 5:
  Compare -23 and -37
  Swap -23 and -37
  List after swap: [-37, -23, 2, 28, 48, 64, 71, 88, 94]
  Compare -23 and 2
  No swap needed
  Compare 2 and 28
  No swap needed
  Compare 28 and 48
  No swap needed

Pass 6:
  Compare -37 and -23
  No swap needed
  Compare -23 and 2
  No swap needed
  Compare 2 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -23, 2, 28, 48, 64, 71, 88, 94]
</think>

<response>-37, -23, 2, 28, 48, 64, 71, 88, 94</response>


input: Sort these integers -59, 72 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-59, 72]

Pass 1:
  Compare -59 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, 72]
</think>

<response>-59, 72</response>


input: Implement bubble sort on -53, 60, 0, 92, 43, -49, -24, 68, -25, 86 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-53, 60, 0, 92, 43, -49, -24, 68, -25, 86]

Pass 1:
  Compare -53 and 60
  No swap needed
  Compare 60 and 0
  Swap 60 and 0
  List after swap: [-53, 0, 60, 92, 43, -49, -24, 68, -25, 86]
  Compare 60 and 92
  No swap needed
  Compare 92 and 43
  Swap 92 and 43
  List after swap: [-53, 0, 60, 43, 92, -49, -24, 68, -25, 86]
  Compare 92 and -49
  Swap 92 and -49
  List after swap: [-53, 0, 60, 43, -49, 92, -24, 68, -25, 86]
  Compare 92 and -24
  Swap 92 and -24
  List after swap: [-53, 0, 60, 43, -49, -24, 92, 68, -25, 86]
  Compare 92 and 68
  Swap 92 and 68
  List after swap: [-53, 0, 60, 43, -49, -24, 68, 92, -25, 86]
  Compare 92 and -25
  Swap 92 and -25
  List after swap: [-53, 0, 60, 43, -49, -24, 68, -25, 92, 86]
  Compare 92 and 86
  Swap 92 and 86
  List after swap: [-53, 0, 60, 43, -49, -24, 68, -25, 86, 92]

Pass 2:
  Compare -53 and 0
  No swap needed
  Compare 0 and 60
  No swap needed
  Compare 60 and 43
  Swap 60 and 43
  List after swap: [-53, 0, 43, 60, -49, -24, 68, -25, 86, 92]
  Compare 60 and -49
  Swap 60 and -49
  List after swap: [-53, 0, 43, -49, 60, -24, 68, -25, 86, 92]
  Compare 60 and -24
  Swap 60 and -24
  List after swap: [-53, 0, 43, -49, -24, 60, 68, -25, 86, 92]
  Compare 60 and 68
  No swap needed
  Compare 68 and -25
  Swap 68 and -25
  List after swap: [-53, 0, 43, -49, -24, 60, -25, 68, 86, 92]
  Compare 68 and 86
  No swap needed

Pass 3:
  Compare -53 and 0
  No swap needed
  Compare 0 and 43
  No swap needed
  Compare 43 and -49
  Swap 43 and -49
  List after swap: [-53, 0, -49, 43, -24, 60, -25, 68, 86, 92]
  Compare 43 and -24
  Swap 43 and -24
  List after swap: [-53, 0, -49, -24, 43, 60, -25, 68, 86, 92]
  Compare 43 and 60
  No swap needed
  Compare 60 and -25
  Swap 60 and -25
  List after swap: [-53, 0, -49, -24, 43, -25, 60, 68, 86, 92]
  Compare 60 and 68
  No swap needed

Pass 4:
  Compare -53 and 0
  No swap needed
  Compare 0 and -49
  Swap 0 and -49
  List after swap: [-53, -49, 0, -24, 43, -25, 60, 68, 86, 92]
  Compare 0 and -24
  Swap 0 and -24
  List after swap: [-53, -49, -24, 0, 43, -25, 60, 68, 86, 92]
  Compare 0 and 43
  No swap needed
  Compare 43 and -25
  Swap 43 and -25
  List after swap: [-53, -49, -24, 0, -25, 43, 60, 68, 86, 92]
  Compare 43 and 60
  No swap needed

Pass 5:
  Compare -53 and -49
  No swap needed
  Compare -49 and -24
  No swap needed
  Compare -24 and 0
  No swap needed
  Compare 0 and -25
  Swap 0 and -25
  List after swap: [-53, -49, -24, -25, 0, 43, 60, 68, 86, 92]
  Compare 0 and 43
  No swap needed

Pass 6:
  Compare -53 and -49
  No swap needed
  Compare -49 and -24
  No swap needed
  Compare -24 and -25
  Swap -24 and -25
  List after swap: [-53, -49, -25, -24, 0, 43, 60, 68, 86, 92]
  Compare -24 and 0
  No swap needed

Pass 7:
  Compare -53 and -49
  No swap needed
  Compare -49 and -25
  No swap needed
  Compare -25 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -49, -25, -24, 0, 43, 60, 68, 86, 92]
</think>

<response>-53, -49, -25, -24, 0, 43, 60, 68, 86, 92</response>


input: Use the bubble sort technique to reorder -7, 59, 60 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-7, 59, 60]

Pass 1:
  Compare -7 and 59
  No swap needed
  Compare 59 and 60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-7, 59, 60]
</think>

<response>-7, 59, 60</response>


input: Implement bubble sort on -76, -15, -95, 24, 25, 90, 31, 51, -31 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-76, -15, -95, 24, 25, 90, 31, 51, -31]

Pass 1:
  Compare -76 and -15
  No swap needed
  Compare -15 and -95
  Swap -15 and -95
  List after swap: [-76, -95, -15, 24, 25, 90, 31, 51, -31]
  Compare -15 and 24
  No swap needed
  Compare 24 and 25
  No swap needed
  Compare 25 and 90
  No swap needed
  Compare 90 and 31
  Swap 90 and 31
  List after swap: [-76, -95, -15, 24, 25, 31, 90, 51, -31]
  Compare 90 and 51
  Swap 90 and 51
  List after swap: [-76, -95, -15, 24, 25, 31, 51, 90, -31]
  Compare 90 and -31
  Swap 90 and -31
  List after swap: [-76, -95, -15, 24, 25, 31, 51, -31, 90]

Pass 2:
  Compare -76 and -95
  Swap -76 and -95
  List after swap: [-95, -76, -15, 24, 25, 31, 51, -31, 90]
  Compare -76 and -15
  No swap needed
  Compare -15 and 24
  No swap needed
  Compare 24 and 25
  No swap needed
  Compare 25 and 31
  No swap needed
  Compare 31 and 51
  No swap needed
  Compare 51 and -31
  Swap 51 and -31
  List after swap: [-95, -76, -15, 24, 25, 31, -31, 51, 90]

Pass 3:
  Compare -95 and -76
  No swap needed
  Compare -76 and -15
  No swap needed
  Compare -15 and 24
  No swap needed
  Compare 24 and 25
  No swap needed
  Compare 25 and 31
  No swap needed
  Compare 31 and -31
  Swap 31 and -31
  List after swap: [-95, -76, -15, 24, 25, -31, 31, 51, 90]

Pass 4:
  Compare -95 and -76
  No swap needed
  Compare -76 and -15
  No swap needed
  Compare -15 and 24
  No swap needed
  Compare 24 and 25
  No swap needed
  Compare 25 and -31
  Swap 25 and -31
  List after swap: [-95, -76, -15, 24, -31, 25, 31, 51, 90]

Pass 5:
  Compare -95 and -76
  No swap needed
  Compare -76 and -15
  No swap needed
  Compare -15 and 24
  No swap needed
  Compare 24 and -31
  Swap 24 and -31
  List after swap: [-95, -76, -15, -31, 24, 25, 31, 51, 90]

Pass 6:
  Compare -95 and -76
  No swap needed
  Compare -76 and -15
  No swap needed
  Compare -15 and -31
  Swap -15 and -31
  List after swap: [-95, -76, -31, -15, 24, 25, 31, 51, 90]

Pass 7:
  Compare -95 and -76
  No swap needed
  Compare -76 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -76, -31, -15, 24, 25, 31, 51, 90]
</think>

<response>-95, -76, -31, -15, 24, 25, 31, 51, 90</response>


input: Sort these integers 33, 32, -71, -51, -95, -38, 99, -41 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [33, 32, -71, -51, -95, -38, 99, -41]

Pass 1:
  Compare 33 and 32
  Swap 33 and 32
  List after swap: [32, 33, -71, -51, -95, -38, 99, -41]
  Compare 33 and -71
  Swap 33 and -71
  List after swap: [32, -71, 33, -51, -95, -38, 99, -41]
  Compare 33 and -51
  Swap 33 and -51
  List after swap: [32, -71, -51, 33, -95, -38, 99, -41]
  Compare 33 and -95
  Swap 33 and -95
  List after swap: [32, -71, -51, -95, 33, -38, 99, -41]
  Compare 33 and -38
  Swap 33 and -38
  List after swap: [32, -71, -51, -95, -38, 33, 99, -41]
  Compare 33 and 99
  No swap needed
  Compare 99 and -41
  Swap 99 and -41
  List after swap: [32, -71, -51, -95, -38, 33, -41, 99]

Pass 2:
  Compare 32 and -71
  Swap 32 and -71
  List after swap: [-71, 32, -51, -95, -38, 33, -41, 99]
  Compare 32 and -51
  Swap 32 and -51
  List after swap: [-71, -51, 32, -95, -38, 33, -41, 99]
  Compare 32 and -95
  Swap 32 and -95
  List after swap: [-71, -51, -95, 32, -38, 33, -41, 99]
  Compare 32 and -38
  Swap 32 and -38
  List after swap: [-71, -51, -95, -38, 32, 33, -41, 99]
  Compare 32 and 33
  No swap needed
  Compare 33 and -41
  Swap 33 and -41
  List after swap: [-71, -51, -95, -38, 32, -41, 33, 99]

Pass 3:
  Compare -71 and -51
  No swap needed
  Compare -51 and -95
  Swap -51 and -95
  List after swap: [-71, -95, -51, -38, 32, -41, 33, 99]
  Compare -51 and -38
  No swap needed
  Compare -38 and 32
  No swap needed
  Compare 32 and -41
  Swap 32 and -41
  List after swap: [-71, -95, -51, -38, -41, 32, 33, 99]

Pass 4:
  Compare -71 and -95
  Swap -71 and -95
  List after swap: [-95, -71, -51, -38, -41, 32, 33, 99]
  Compare -71 and -51
  No swap needed
  Compare -51 and -38
  No swap needed
  Compare -38 and -41
  Swap -38 and -41
  List after swap: [-95, -71, -51, -41, -38, 32, 33, 99]

Pass 5:
  Compare -95 and -71
  No swap needed
  Compare -71 and -51
  No swap needed
  Compare -51 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -71, -51, -41, -38, 32, 33, 99]
</think>

<response>-95, -71, -51, -41, -38, 32, 33, 99</response>


input: Carry out the bubble sort algorithm on -8, -11, 41, -98, 83 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-8, -11, 41, -98, 83]

Pass 1:
  Compare -8 and -11
  Swap -8 and -11
  List after swap: [-11, -8, 41, -98, 83]
  Compare -8 and 41
  No swap needed
  Compare 41 and -98
  Swap 41 and -98
  List after swap: [-11, -8, -98, 41, 83]
  Compare 41 and 83
  No swap needed

Pass 2:
  Compare -11 and -8
  No swap needed
  Compare -8 and -98
  Swap -8 and -98
  List after swap: [-11, -98, -8, 41, 83]
  Compare -8 and 41
  No swap needed

Pass 3:
  Compare -11 and -98
  Swap -11 and -98
  List after swap: [-98, -11, -8, 41, 83]
  Compare -11 and -8
  No swap needed

Pass 4:
  Compare -98 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -11, -8, 41, 83]
</think>

<response>-98, -11, -8, 41, 83</response>


input: Perform a bubble sort on the integers 55, -76, -80, -65, 37, -98, 41, -77, 24, -99, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [55, -76, -80, -65, 37, -98, 41, -77, 24, -99]

Pass 1:
  Compare 55 and -76
  Swap 55 and -76
  List after swap: [-76, 55, -80, -65, 37, -98, 41, -77, 24, -99]
  Compare 55 and -80
  Swap 55 and -80
  List after swap: [-76, -80, 55, -65, 37, -98, 41, -77, 24, -99]
  Compare 55 and -65
  Swap 55 and -65
  List after swap: [-76, -80, -65, 55, 37, -98, 41, -77, 24, -99]
  Compare 55 and 37
  Swap 55 and 37
  List after swap: [-76, -80, -65, 37, 55, -98, 41, -77, 24, -99]
  Compare 55 and -98
  Swap 55 and -98
  List after swap: [-76, -80, -65, 37, -98, 55, 41, -77, 24, -99]
  Compare 55 and 41
  Swap 55 and 41
  List after swap: [-76, -80, -65, 37, -98, 41, 55, -77, 24, -99]
  Compare 55 and -77
  Swap 55 and -77
  List after swap: [-76, -80, -65, 37, -98, 41, -77, 55, 24, -99]
  Compare 55 and 24
  Swap 55 and 24
  List after swap: [-76, -80, -65, 37, -98, 41, -77, 24, 55, -99]
  Compare 55 and -99
  Swap 55 and -99
  List after swap: [-76, -80, -65, 37, -98, 41, -77, 24, -99, 55]

Pass 2:
  Compare -76 and -80
  Swap -76 and -80
  List after swap: [-80, -76, -65, 37, -98, 41, -77, 24, -99, 55]
  Compare -76 and -65
  No swap needed
  Compare -65 and 37
  No swap needed
  Compare 37 and -98
  Swap 37 and -98
  List after swap: [-80, -76, -65, -98, 37, 41, -77, 24, -99, 55]
  Compare 37 and 41
  No swap needed
  Compare 41 and -77
  Swap 41 and -77
  List after swap: [-80, -76, -65, -98, 37, -77, 41, 24, -99, 55]
  Compare 41 and 24
  Swap 41 and 24
  List after swap: [-80, -76, -65, -98, 37, -77, 24, 41, -99, 55]
  Compare 41 and -99
  Swap 41 and -99
  List after swap: [-80, -76, -65, -98, 37, -77, 24, -99, 41, 55]

Pass 3:
  Compare -80 and -76
  No swap needed
  Compare -76 and -65
  No swap needed
  Compare -65 and -98
  Swap -65 and -98
  List after swap: [-80, -76, -98, -65, 37, -77, 24, -99, 41, 55]
  Compare -65 and 37
  No swap needed
  Compare 37 and -77
  Swap 37 and -77
  List after swap: [-80, -76, -98, -65, -77, 37, 24, -99, 41, 55]
  Compare 37 and 24
  Swap 37 and 24
  List after swap: [-80, -76, -98, -65, -77, 24, 37, -99, 41, 55]
  Compare 37 and -99
  Swap 37 and -99
  List after swap: [-80, -76, -98, -65, -77, 24, -99, 37, 41, 55]

Pass 4:
  Compare -80 and -76
  No swap needed
  Compare -76 and -98
  Swap -76 and -98
  List after swap: [-80, -98, -76, -65, -77, 24, -99, 37, 41, 55]
  Compare -76 and -65
  No swap needed
  Compare -65 and -77
  Swap -65 and -77
  List after swap: [-80, -98, -76, -77, -65, 24, -99, 37, 41, 55]
  Compare -65 and 24
  No swap needed
  Compare 24 and -99
  Swap 24 and -99
  List after swap: [-80, -98, -76, -77, -65, -99, 24, 37, 41, 55]

Pass 5:
  Compare -80 and -98
  Swap -80 and -98
  List after swap: [-98, -80, -76, -77, -65, -99, 24, 37, 41, 55]
  Compare -80 and -76
  No swap needed
  Compare -76 and -77
  Swap -76 and -77
  List after swap: [-98, -80, -77, -76, -65, -99, 24, 37, 41, 55]
  Compare -76 and -65
  No swap needed
  Compare -65 and -99
  Swap -65 and -99
  List after swap: [-98, -80, -77, -76, -99, -65, 24, 37, 41, 55]

Pass 6:
  Compare -98 and -80
  No swap needed
  Compare -80 and -77
  No swap needed
  Compare -77 and -76
  No swap needed
  Compare -76 and -99
  Swap -76 and -99
  List after swap: [-98, -80, -77, -99, -76, -65, 24, 37, 41, 55]

Pass 7:
  Compare -98 and -80
  No swap needed
  Compare -80 and -77
  No swap needed
  Compare -77 and -99
  Swap -77 and -99
  List after swap: [-98, -80, -99, -77, -76, -65, 24, 37, 41, 55]

Pass 8:
  Compare -98 and -80
  No swap needed
  Compare -80 and -99
  Swap -80 and -99
  List after swap: [-98, -99, -80, -77, -76, -65, 24, 37, 41, 55]

Pass 9:
  Compare -98 and -99
  Swap -98 and -99
  List after swap: [-99, -98, -80, -77, -76, -65, 24, 37, 41, 55]

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

Final sorted list: [-99, -98, -80, -77, -76, -65, 24, 37, 41, 55]
</think>

<response>-99, -98, -80, -77, -76, -65, 24, 37, 41, 55</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -83, -13, 44, 36, -35.

output:
<think>
Initial list: [-83, -13, 44, 36, -35]

Pass 1:
  Compare -83 and -13
  No swap needed
  Compare -13 and 44
  No swap needed
  Compare 44 and 36
  Swap 44 and 36
  List after swap: [-83, -13, 36, 44, -35]
  Compare 44 and -35
  Swap 44 and -35
  List after swap: [-83, -13, 36, -35, 44]

Pass 2:
  Compare -83 and -13
  No swap needed
  Compare -13 and 36
  No swap needed
  Compare 36 and -35
  Swap 36 and -35
  List after swap: [-83, -13, -35, 36, 44]

Pass 3:
  Compare -83 and -13
  No swap needed
  Compare -13 and -35
  Swap -13 and -35
  List after swap: [-83, -35, -13, 36, 44]

Pass 4:
  Compare -83 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -35, -13, 36, 44]
</think>

<response>-83, -35, -13, 36, 44</response>


input: Sort these integers 65, 31, 64, -23 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [65, 31, 64, -23]

Pass 1:
  Compare 65 and 31
  Swap 65 and 31
  List after swap: [31, 65, 64, -23]
  Compare 65 and 64
  Swap 65 and 64
  List after swap: [31, 64, 65, -23]
  Compare 65 and -23
  Swap 65 and -23
  List after swap: [31, 64, -23, 65]

Pass 2:
  Compare 31 and 64
  No swap needed
  Compare 64 and -23
  Swap 64 and -23
  List after swap: [31, -23, 64, 65]

Pass 3:
  Compare 31 and -23
  Swap 31 and -23
  List after swap: [-23, 31, 64, 65]

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

Final sorted list: [-23, 31, 64, 65]
</think>

<response>-23, 31, 64, 65</response>


input: Sort the list 66, -89, -100, -95, 69, -12, -68 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [66, -89, -100, -95, 69, -12, -68]

Pass 1:
  Compare 66 and -89
  Swap 66 and -89
  List after swap: [-89, 66, -100, -95, 69, -12, -68]
  Compare 66 and -100
  Swap 66 and -100
  List after swap: [-89, -100, 66, -95, 69, -12, -68]
  Compare 66 and -95
  Swap 66 and -95
  List after swap: [-89, -100, -95, 66, 69, -12, -68]
  Compare 66 and 69
  No swap needed
  Compare 69 and -12
  Swap 69 and -12
  List after swap: [-89, -100, -95, 66, -12, 69, -68]
  Compare 69 and -68
  Swap 69 and -68
  List after swap: [-89, -100, -95, 66, -12, -68, 69]

Pass 2:
  Compare -89 and -100
  Swap -89 and -100
  List after swap: [-100, -89, -95, 66, -12, -68, 69]
  Compare -89 and -95
  Swap -89 and -95
  List after swap: [-100, -95, -89, 66, -12, -68, 69]
  Compare -89 and 66
  No swap needed
  Compare 66 and -12
  Swap 66 and -12
  List after swap: [-100, -95, -89, -12, 66, -68, 69]
  Compare 66 and -68
  Swap 66 and -68
  List after swap: [-100, -95, -89, -12, -68, 66, 69]

Pass 3:
  Compare -100 and -95
  No swap needed
  Compare -95 and -89
  No swap needed
  Compare -89 and -12
  No swap needed
  Compare -12 and -68
  Swap -12 and -68
  List after swap: [-100, -95, -89, -68, -12, 66, 69]

Pass 4:
  Compare -100 and -95
  No swap needed
  Compare -95 and -89
  No swap needed
  Compare -89 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -95, -89, -68, -12, 66, 69]
</think>

<response>-100, -95, -89, -68, -12, 66, 69</response>


input: Sort the list 70, 25, 99, 96, 56, -26, -43, 51, 88 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [70, 25, 99, 96, 56, -26, -43, 51, 88]

Pass 1:
  Compare 70 and 25
  Swap 70 and 25
  List after swap: [25, 70, 99, 96, 56, -26, -43, 51, 88]
  Compare 70 and 99
  No swap needed
  Compare 99 and 96
  Swap 99 and 96
  List after swap: [25, 70, 96, 99, 56, -26, -43, 51, 88]
  Compare 99 and 56
  Swap 99 and 56
  List after swap: [25, 70, 96, 56, 99, -26, -43, 51, 88]
  Compare 99 and -26
  Swap 99 and -26
  List after swap: [25, 70, 96, 56, -26, 99, -43, 51, 88]
  Compare 99 and -43
  Swap 99 and -43
  List after swap: [25, 70, 96, 56, -26, -43, 99, 51, 88]
  Compare 99 and 51
  Swap 99 and 51
  List after swap: [25, 70, 96, 56, -26, -43, 51, 99, 88]
  Compare 99 and 88
  Swap 99 and 88
  List after swap: [25, 70, 96, 56, -26, -43, 51, 88, 99]

Pass 2:
  Compare 25 and 70
  No swap needed
  Compare 70 and 96
  No swap needed
  Compare 96 and 56
  Swap 96 and 56
  List after swap: [25, 70, 56, 96, -26, -43, 51, 88, 99]
  Compare 96 and -26
  Swap 96 and -26
  List after swap: [25, 70, 56, -26, 96, -43, 51, 88, 99]
  Compare 96 and -43
  Swap 96 and -43
  List after swap: [25, 70, 56, -26, -43, 96, 51, 88, 99]
  Compare 96 and 51
  Swap 96 and 51
  List after swap: [25, 70, 56, -26, -43, 51, 96, 88, 99]
  Compare 96 and 88
  Swap 96 and 88
  List after swap: [25, 70, 56, -26, -43, 51, 88, 96, 99]

Pass 3:
  Compare 25 and 70
  No swap needed
  Compare 70 and 56
  Swap 70 and 56
  List after swap: [25, 56, 70, -26, -43, 51, 88, 96, 99]
  Compare 70 and -26
  Swap 70 and -26
  List after swap: [25, 56, -26, 70, -43, 51, 88, 96, 99]
  Compare 70 and -43
  Swap 70 and -43
  List after swap: [25, 56, -26, -43, 70, 51, 88, 96, 99]
  Compare 70 and 51
  Swap 70 and 51
  List after swap: [25, 56, -26, -43, 51, 70, 88, 96, 99]
  Compare 70 and 88
  No swap needed

Pass 4:
  Compare 25 and 56
  No swap needed
  Compare 56 and -26
  Swap 56 and -26
  List after swap: [25, -26, 56, -43, 51, 70, 88, 96, 99]
  Compare 56 and -43
  Swap 56 and -43
  List after swap: [25, -26, -43, 56, 51, 70, 88, 96, 99]
  Compare 56 and 51
  Swap 56 and 51
  List after swap: [25, -26, -43, 51, 56, 70, 88, 96, 99]
  Compare 56 and 70
  No swap needed

Pass 5:
  Compare 25 and -26
  Swap 25 and -26
  List after swap: [-26, 25, -43, 51, 56, 70, 88, 96, 99]
  Compare 25 and -43
  Swap 25 and -43
  List after swap: [-26, -43, 25, 51, 56, 70, 88, 96, 99]
  Compare 25 and 51
  No swap needed
  Compare 51 and 56
  No swap needed

Pass 6:
  Compare -26 and -43
  Swap -26 and -43
  List after swap: [-43, -26, 25, 51, 56, 70, 88, 96, 99]
  Compare -26 and 25
  No swap needed
  Compare 25 and 51
  No swap needed

Pass 7:
  Compare -43 and -26
  No swap needed
  Compare -26 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -26, 25, 51, 56, 70, 88, 96, 99]
</think>

<response>-43, -26, 25, 51, 56, 70, 88, 96, 99</response>


input: Arrange the numbers -87, -73, -51, -75, 6, -33 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-87, -73, -51, -75, 6, -33]

Pass 1:
  Compare -87 and -73
  No swap needed
  Compare -73 and -51
  No swap needed
  Compare -51 and -75
  Swap -51 and -75
  List after swap: [-87, -73, -75, -51, 6, -33]
  Compare -51 and 6
  No swap needed
  Compare 6 and -33
  Swap 6 and -33
  List after swap: [-87, -73, -75, -51, -33, 6]

Pass 2:
  Compare -87 and -73
  No swap needed
  Compare -73 and -75
  Swap -73 and -75
  List after swap: [-87, -75, -73, -51, -33, 6]
  Compare -73 and -51
  No swap needed
  Compare -51 and -33
  No swap needed

Pass 3:
  Compare -87 and -75
  No swap needed
  Compare -75 and -73
  No swap needed
  Compare -73 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -75, -73, -51, -33, 6]
</think>

<response>-87, -75, -73, -51, -33, 6</response>


input: Use the bubble sort technique to reorder 65, -97, -10, -35, 25, 4, -27, -64 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [65, -97, -10, -35, 25, 4, -27, -64]

Pass 1:
  Compare 65 and -97
  Swap 65 and -97
  List after swap: [-97, 65, -10, -35, 25, 4, -27, -64]
  Compare 65 and -10
  Swap 65 and -10
  List after swap: [-97, -10, 65, -35, 25, 4, -27, -64]
  Compare 65 and -35
  Swap 65 and -35
  List after swap: [-97, -10, -35, 65, 25, 4, -27, -64]
  Compare 65 and 25
  Swap 65 and 25
  List after swap: [-97, -10, -35, 25, 65, 4, -27, -64]
  Compare 65 and 4
  Swap 65 and 4
  List after swap: [-97, -10, -35, 25, 4, 65, -27, -64]
  Compare 65 and -27
  Swap 65 and -27
  List after swap: [-97, -10, -35, 25, 4, -27, 65, -64]
  Compare 65 and -64
  Swap 65 and -64
  List after swap: [-97, -10, -35, 25, 4, -27, -64, 65]

Pass 2:
  Compare -97 and -10
  No swap needed
  Compare -10 and -35
  Swap -10 and -35
  List after swap: [-97, -35, -10, 25, 4, -27, -64, 65]
  Compare -10 and 25
  No swap needed
  Compare 25 and 4
  Swap 25 and 4
  List after swap: [-97, -35, -10, 4, 25, -27, -64, 65]
  Compare 25 and -27
  Swap 25 and -27
  List after swap: [-97, -35, -10, 4, -27, 25, -64, 65]
  Compare 25 and -64
  Swap 25 and -64
  List after swap: [-97, -35, -10, 4, -27, -64, 25, 65]

Pass 3:
  Compare -97 and -35
  No swap needed
  Compare -35 and -10
  No swap needed
  Compare -10 and 4
  No swap needed
  Compare 4 and -27
  Swap 4 and -27
  List after swap: [-97, -35, -10, -27, 4, -64, 25, 65]
  Compare 4 and -64
  Swap 4 and -64
  List after swap: [-97, -35, -10, -27, -64, 4, 25, 65]

Pass 4:
  Compare -97 and -35
  No swap needed
  Compare -35 and -10
  No swap needed
  Compare -10 and -27
  Swap -10 and -27
  List after swap: [-97, -35, -27, -10, -64, 4, 25, 65]
  Compare -10 and -64
  Swap -10 and -64
  List after swap: [-97, -35, -27, -64, -10, 4, 25, 65]

Pass 5:
  Compare -97 and -35
  No swap needed
  Compare -35 and -27
  No swap needed
  Compare -27 and -64
  Swap -27 and -64
  List after swap: [-97, -35, -64, -27, -10, 4, 25, 65]

Pass 6:
  Compare -97 and -35
  No swap needed
  Compare -35 and -64
  Swap -35 and -64
  List after swap: [-97, -64, -35, -27, -10, 4, 25, 65]

Pass 7:
  Compare -97 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -64, -35, -27, -10, 4, 25, 65]
</think>

<response>-97, -64, -35, -27, -10, 4, 25, 65</response>


input: Implement bubble sort on 95, 6, 78, 99, -2, -3, -24, 47 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [95, 6, 78, 99, -2, -3, -24, 47]

Pass 1:
  Compare 95 and 6
  Swap 95 and 6
  List after swap: [6, 95, 78, 99, -2, -3, -24, 47]
  Compare 95 and 78
  Swap 95 and 78
  List after swap: [6, 78, 95, 99, -2, -3, -24, 47]
  Compare 95 and 99
  No swap needed
  Compare 99 and -2
  Swap 99 and -2
  List after swap: [6, 78, 95, -2, 99, -3, -24, 47]
  Compare 99 and -3
  Swap 99 and -3
  List after swap: [6, 78, 95, -2, -3, 99, -24, 47]
  Compare 99 and -24
  Swap 99 and -24
  List after swap: [6, 78, 95, -2, -3, -24, 99, 47]
  Compare 99 and 47
  Swap 99 and 47
  List after swap: [6, 78, 95, -2, -3, -24, 47, 99]

Pass 2:
  Compare 6 and 78
  No swap needed
  Compare 78 and 95
  No swap needed
  Compare 95 and -2
  Swap 95 and -2
  List after swap: [6, 78, -2, 95, -3, -24, 47, 99]
  Compare 95 and -3
  Swap 95 and -3
  List after swap: [6, 78, -2, -3, 95, -24, 47, 99]
  Compare 95 and -24
  Swap 95 and -24
  List after swap: [6, 78, -2, -3, -24, 95, 47, 99]
  Compare 95 and 47
  Swap 95 and 47
  List after swap: [6, 78, -2, -3, -24, 47, 95, 99]

Pass 3:
  Compare 6 and 78
  No swap needed
  Compare 78 and -2
  Swap 78 and -2
  List after swap: [6, -2, 78, -3, -24, 47, 95, 99]
  Compare 78 and -3
  Swap 78 and -3
  List after swap: [6, -2, -3, 78, -24, 47, 95, 99]
  Compare 78 and -24
  Swap 78 and -24
  List after swap: [6, -2, -3, -24, 78, 47, 95, 99]
  Compare 78 and 47
  Swap 78 and 47
  List after swap: [6, -2, -3, -24, 47, 78, 95, 99]

Pass 4:
  Compare 6 and -2
  Swap 6 and -2
  List after swap: [-2, 6, -3, -24, 47, 78, 95, 99]
  Compare 6 and -3
  Swap 6 and -3
  List after swap: [-2, -3, 6, -24, 47, 78, 95, 99]
  Compare 6 and -24
  Swap 6 and -24
  List after swap: [-2, -3, -24, 6, 47, 78, 95, 99]
  Compare 6 and 47
  No swap needed

Pass 5:
  Compare -2 and -3
  Swap -2 and -3
  List after swap: [-3, -2, -24, 6, 47, 78, 95, 99]
  Compare -2 and -24
  Swap -2 and -24
  List after swap: [-3, -24, -2, 6, 47, 78, 95, 99]
  Compare -2 and 6
  No swap needed

Pass 6:
  Compare -3 and -24
  Swap -3 and -24
  List after swap: [-24, -3, -2, 6, 47, 78, 95, 99]
  Compare -3 and -2
  No swap needed

Pass 7:
  Compare -24 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, -3, -2, 6, 47, 78, 95, 99]
</think>

<response>-24, -3, -2, 6, 47, 78, 95, 99</response>


input: Using the bubble sort method, sort 1, 92, 97, 41, 34, 72, 11, 52, 85 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [1, 92, 97, 41, 34, 72, 11, 52, 85]

Pass 1:
  Compare 1 and 92
  No swap needed
  Compare 92 and 97
  No swap needed
  Compare 97 and 41
  Swap 97 and 41
  List after swap: [1, 92, 41, 97, 34, 72, 11, 52, 85]
  Compare 97 and 34
  Swap 97 and 34
  List after swap: [1, 92, 41, 34, 97, 72, 11, 52, 85]
  Compare 97 and 72
  Swap 97 and 72
  List after swap: [1, 92, 41, 34, 72, 97, 11, 52, 85]
  Compare 97 and 11
  Swap 97 and 11
  List after swap: [1, 92, 41, 34, 72, 11, 97, 52, 85]
  Compare 97 and 52
  Swap 97 and 52
  List after swap: [1, 92, 41, 34, 72, 11, 52, 97, 85]
  Compare 97 and 85
  Swap 97 and 85
  List after swap: [1, 92, 41, 34, 72, 11, 52, 85, 97]

Pass 2:
  Compare 1 and 92
  No swap needed
  Compare 92 and 41
  Swap 92 and 41
  List after swap: [1, 41, 92, 34, 72, 11, 52, 85, 97]
  Compare 92 and 34
  Swap 92 and 34
  List after swap: [1, 41, 34, 92, 72, 11, 52, 85, 97]
  Compare 92 and 72
  Swap 92 and 72
  List after swap: [1, 41, 34, 72, 92, 11, 52, 85, 97]
  Compare 92 and 11
  Swap 92 and 11
  List after swap: [1, 41, 34, 72, 11, 92, 52, 85, 97]
  Compare 92 and 52
  Swap 92 and 52
  List after swap: [1, 41, 34, 72, 11, 52, 92, 85, 97]
  Compare 92 and 85
  Swap 92 and 85
  List after swap: [1, 41, 34, 72, 11, 52, 85, 92, 97]

Pass 3:
  Compare 1 and 41
  No swap needed
  Compare 41 and 34
  Swap 41 and 34
  List after swap: [1, 34, 41, 72, 11, 52, 85, 92, 97]
  Compare 41 and 72
  No swap needed
  Compare 72 and 11
  Swap 72 and 11
  List after swap: [1, 34, 41, 11, 72, 52, 85, 92, 97]
  Compare 72 and 52
  Swap 72 and 52
  List after swap: [1, 34, 41, 11, 52, 72, 85, 92, 97]
  Compare 72 and 85
  No swap needed

Pass 4:
  Compare 1 and 34
  No swap needed
  Compare 34 and 41
  No swap needed
  Compare 41 and 11
  Swap 41 and 11
  List after swap: [1, 34, 11, 41, 52, 72, 85, 92, 97]
  Compare 41 and 52
  No swap needed
  Compare 52 and 72
  No swap needed

Pass 5:
  Compare 1 and 34
  No swap needed
  Compare 34 and 11
  Swap 34 and 11
  List after swap: [1, 11, 34, 41, 52, 72, 85, 92, 97]
  Compare 34 and 41
  No swap needed
  Compare 41 and 52
  No swap needed

Pass 6:
  Compare 1 and 11
  No swap needed
  Compare 11 and 34
  No swap needed
  Compare 34 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [1, 11, 34, 41, 52, 72, 85, 92, 97]
</think>

<response>1, 11, 34, 41, 52, 72, 85, 92, 97</response>


input: Sort these integers -1, -55 in ascending order with bubble sort, clearly listing every step involved.

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

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

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

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

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


input: Execute bubble sort to sort 24, 81, 83, -53, 91, 56, -30, -6, 20 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [24, 81, 83, -53, 91, 56, -30, -6, 20]

Pass 1:
  Compare 24 and 81
  No swap needed
  Compare 81 and 83
  No swap needed
  Compare 83 and -53
  Swap 83 and -53
  List after swap: [24, 81, -53, 83, 91, 56, -30, -6, 20]
  Compare 83 and 91
  No swap needed
  Compare 91 and 56
  Swap 91 and 56
  List after swap: [24, 81, -53, 83, 56, 91, -30, -6, 20]
  Compare 91 and -30
  Swap 91 and -30
  List after swap: [24, 81, -53, 83, 56, -30, 91, -6, 20]
  Compare 91 and -6
  Swap 91 and -6
  List after swap: [24, 81, -53, 83, 56, -30, -6, 91, 20]
  Compare 91 and 20
  Swap 91 and 20
  List after swap: [24, 81, -53, 83, 56, -30, -6, 20, 91]

Pass 2:
  Compare 24 and 81
  No swap needed
  Compare 81 and -53
  Swap 81 and -53
  List after swap: [24, -53, 81, 83, 56, -30, -6, 20, 91]
  Compare 81 and 83
  No swap needed
  Compare 83 and 56
  Swap 83 and 56
  List after swap: [24, -53, 81, 56, 83, -30, -6, 20, 91]
  Compare 83 and -30
  Swap 83 and -30
  List after swap: [24, -53, 81, 56, -30, 83, -6, 20, 91]
  Compare 83 and -6
  Swap 83 and -6
  List after swap: [24, -53, 81, 56, -30, -6, 83, 20, 91]
  Compare 83 and 20
  Swap 83 and 20
  List after swap: [24, -53, 81, 56, -30, -6, 20, 83, 91]

Pass 3:
  Compare 24 and -53
  Swap 24 and -53
  List after swap: [-53, 24, 81, 56, -30, -6, 20, 83, 91]
  Compare 24 and 81
  No swap needed
  Compare 81 and 56
  Swap 81 and 56
  List after swap: [-53, 24, 56, 81, -30, -6, 20, 83, 91]
  Compare 81 and -30
  Swap 81 and -30
  List after swap: [-53, 24, 56, -30, 81, -6, 20, 83, 91]
  Compare 81 and -6
  Swap 81 and -6
  List after swap: [-53, 24, 56, -30, -6, 81, 20, 83, 91]
  Compare 81 and 20
  Swap 81 and 20
  List after swap: [-53, 24, 56, -30, -6, 20, 81, 83, 91]

Pass 4:
  Compare -53 and 24
  No swap needed
  Compare 24 and 56
  No swap needed
  Compare 56 and -30
  Swap 56 and -30
  List after swap: [-53, 24, -30, 56, -6, 20, 81, 83, 91]
  Compare 56 and -6
  Swap 56 and -6
  List after swap: [-53, 24, -30, -6, 56, 20, 81, 83, 91]
  Compare 56 and 20
  Swap 56 and 20
  List after swap: [-53, 24, -30, -6, 20, 56, 81, 83, 91]

Pass 5:
  Compare -53 and 24
  No swap needed
  Compare 24 and -30
  Swap 24 and -30
  List after swap: [-53, -30, 24, -6, 20, 56, 81, 83, 91]
  Compare 24 and -6
  Swap 24 and -6
  List after swap: [-53, -30, -6, 24, 20, 56, 81, 83, 91]
  Compare 24 and 20
  Swap 24 and 20
  List after swap: [-53, -30, -6, 20, 24, 56, 81, 83, 91]

Pass 6:
  Compare -53 and -30
  No swap needed
  Compare -30 and -6
  No swap needed
  Compare -6 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -30, -6, 20, 24, 56, 81, 83, 91]
</think>

<response>-53, -30, -6, 20, 24, 56, 81, 83, 91</response>