input: Use the bubble sort technique to reorder -73, -75, -89, 89, 74, -23, -88, -70, -84 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-73, -75, -89, 89, 74, -23, -88, -70, -84]

Pass 1:
  Compare -73 and -75
  Swap -73 and -75
  List after swap: [-75, -73, -89, 89, 74, -23, -88, -70, -84]
  Compare -73 and -89
  Swap -73 and -89
  List after swap: [-75, -89, -73, 89, 74, -23, -88, -70, -84]
  Compare -73 and 89
  No swap needed
  Compare 89 and 74
  Swap 89 and 74
  List after swap: [-75, -89, -73, 74, 89, -23, -88, -70, -84]
  Compare 89 and -23
  Swap 89 and -23
  List after swap: [-75, -89, -73, 74, -23, 89, -88, -70, -84]
  Compare 89 and -88
  Swap 89 and -88
  List after swap: [-75, -89, -73, 74, -23, -88, 89, -70, -84]
  Compare 89 and -70
  Swap 89 and -70
  List after swap: [-75, -89, -73, 74, -23, -88, -70, 89, -84]
  Compare 89 and -84
  Swap 89 and -84
  List after swap: [-75, -89, -73, 74, -23, -88, -70, -84, 89]

Pass 2:
  Compare -75 and -89
  Swap -75 and -89
  List after swap: [-89, -75, -73, 74, -23, -88, -70, -84, 89]
  Compare -75 and -73
  No swap needed
  Compare -73 and 74
  No swap needed
  Compare 74 and -23
  Swap 74 and -23
  List after swap: [-89, -75, -73, -23, 74, -88, -70, -84, 89]
  Compare 74 and -88
  Swap 74 and -88
  List after swap: [-89, -75, -73, -23, -88, 74, -70, -84, 89]
  Compare 74 and -70
  Swap 74 and -70
  List after swap: [-89, -75, -73, -23, -88, -70, 74, -84, 89]
  Compare 74 and -84
  Swap 74 and -84
  List after swap: [-89, -75, -73, -23, -88, -70, -84, 74, 89]

Pass 3:
  Compare -89 and -75
  No swap needed
  Compare -75 and -73
  No swap needed
  Compare -73 and -23
  No swap needed
  Compare -23 and -88
  Swap -23 and -88
  List after swap: [-89, -75, -73, -88, -23, -70, -84, 74, 89]
  Compare -23 and -70
  Swap -23 and -70
  List after swap: [-89, -75, -73, -88, -70, -23, -84, 74, 89]
  Compare -23 and -84
  Swap -23 and -84
  List after swap: [-89, -75, -73, -88, -70, -84, -23, 74, 89]

Pass 4:
  Compare -89 and -75
  No swap needed
  Compare -75 and -73
  No swap needed
  Compare -73 and -88
  Swap -73 and -88
  List after swap: [-89, -75, -88, -73, -70, -84, -23, 74, 89]
  Compare -73 and -70
  No swap needed
  Compare -70 and -84
  Swap -70 and -84
  List after swap: [-89, -75, -88, -73, -84, -70, -23, 74, 89]

Pass 5:
  Compare -89 and -75
  No swap needed
  Compare -75 and -88
  Swap -75 and -88
  List after swap: [-89, -88, -75, -73, -84, -70, -23, 74, 89]
  Compare -75 and -73
  No swap needed
  Compare -73 and -84
  Swap -73 and -84
  List after swap: [-89, -88, -75, -84, -73, -70, -23, 74, 89]

Pass 6:
  Compare -89 and -88
  No swap needed
  Compare -88 and -75
  No swap needed
  Compare -75 and -84
  Swap -75 and -84
  List after swap: [-89, -88, -84, -75, -73, -70, -23, 74, 89]

Pass 7:
  Compare -89 and -88
  No swap needed
  Compare -88 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -88, -84, -75, -73, -70, -23, 74, 89]
</think>

<response>-89, -88, -84, -75, -73, -70, -23, 74, 89</response>


input: Execute bubble sort to sort -48, 46, 1 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-48, 46, 1]

Pass 1:
  Compare -48 and 46
  No swap needed
  Compare 46 and 1
  Swap 46 and 1
  List after swap: [-48, 1, 46]

Pass 2:
  Compare -48 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, 1, 46]
</think>

<response>-48, 1, 46</response>


input: Demonstrate how bubble sort orders the integers 56, -97, -60, 76 in ascending sequence, showing all steps.

output:
<think>
Initial list: [56, -97, -60, 76]

Pass 1:
  Compare 56 and -97
  Swap 56 and -97
  List after swap: [-97, 56, -60, 76]
  Compare 56 and -60
  Swap 56 and -60
  List after swap: [-97, -60, 56, 76]
  Compare 56 and 76
  No swap needed

Pass 2:
  Compare -97 and -60
  No swap needed
  Compare -60 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -60, 56, 76]
</think>

<response>-97, -60, 56, 76</response>


input: Using the bubble sort method, sort -22, -44, 53, 22, 60 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-22, -44, 53, 22, 60]

Pass 1:
  Compare -22 and -44
  Swap -22 and -44
  List after swap: [-44, -22, 53, 22, 60]
  Compare -22 and 53
  No swap needed
  Compare 53 and 22
  Swap 53 and 22
  List after swap: [-44, -22, 22, 53, 60]
  Compare 53 and 60
  No swap needed

Pass 2:
  Compare -44 and -22
  No swap needed
  Compare -22 and 22
  No swap needed
  Compare 22 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, -22, 22, 53, 60]
</think>

<response>-44, -22, 22, 53, 60</response>


input: Use the bubble sort technique to reorder -39, -49, 42, 82, 4, -12 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-39, -49, 42, 82, 4, -12]

Pass 1:
  Compare -39 and -49
  Swap -39 and -49
  List after swap: [-49, -39, 42, 82, 4, -12]
  Compare -39 and 42
  No swap needed
  Compare 42 and 82
  No swap needed
  Compare 82 and 4
  Swap 82 and 4
  List after swap: [-49, -39, 42, 4, 82, -12]
  Compare 82 and -12
  Swap 82 and -12
  List after swap: [-49, -39, 42, 4, -12, 82]

Pass 2:
  Compare -49 and -39
  No swap needed
  Compare -39 and 42
  No swap needed
  Compare 42 and 4
  Swap 42 and 4
  List after swap: [-49, -39, 4, 42, -12, 82]
  Compare 42 and -12
  Swap 42 and -12
  List after swap: [-49, -39, 4, -12, 42, 82]

Pass 3:
  Compare -49 and -39
  No swap needed
  Compare -39 and 4
  No swap needed
  Compare 4 and -12
  Swap 4 and -12
  List after swap: [-49, -39, -12, 4, 42, 82]

Pass 4:
  Compare -49 and -39
  No swap needed
  Compare -39 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -39, -12, 4, 42, 82]
</think>

<response>-49, -39, -12, 4, 42, 82</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -79, -14, 54, -84, -76, -4, 53, 13.

output:
<think>
Initial list: [-79, -14, 54, -84, -76, -4, 53, 13]

Pass 1:
  Compare -79 and -14
  No swap needed
  Compare -14 and 54
  No swap needed
  Compare 54 and -84
  Swap 54 and -84
  List after swap: [-79, -14, -84, 54, -76, -4, 53, 13]
  Compare 54 and -76
  Swap 54 and -76
  List after swap: [-79, -14, -84, -76, 54, -4, 53, 13]
  Compare 54 and -4
  Swap 54 and -4
  List after swap: [-79, -14, -84, -76, -4, 54, 53, 13]
  Compare 54 and 53
  Swap 54 and 53
  List after swap: [-79, -14, -84, -76, -4, 53, 54, 13]
  Compare 54 and 13
  Swap 54 and 13
  List after swap: [-79, -14, -84, -76, -4, 53, 13, 54]

Pass 2:
  Compare -79 and -14
  No swap needed
  Compare -14 and -84
  Swap -14 and -84
  List after swap: [-79, -84, -14, -76, -4, 53, 13, 54]
  Compare -14 and -76
  Swap -14 and -76
  List after swap: [-79, -84, -76, -14, -4, 53, 13, 54]
  Compare -14 and -4
  No swap needed
  Compare -4 and 53
  No swap needed
  Compare 53 and 13
  Swap 53 and 13
  List after swap: [-79, -84, -76, -14, -4, 13, 53, 54]

Pass 3:
  Compare -79 and -84
  Swap -79 and -84
  List after swap: [-84, -79, -76, -14, -4, 13, 53, 54]
  Compare -79 and -76
  No swap needed
  Compare -76 and -14
  No swap needed
  Compare -14 and -4
  No swap needed
  Compare -4 and 13
  No swap needed

Pass 4:
  Compare -84 and -79
  No swap needed
  Compare -79 and -76
  No swap needed
  Compare -76 and -14
  No swap needed
  Compare -14 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -79, -76, -14, -4, 13, 53, 54]
</think>

<response>-84, -79, -76, -14, -4, 13, 53, 54</response>


input: Use the bubble sort technique to reorder -62, -82, 31, 61, -61 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-62, -82, 31, 61, -61]

Pass 1:
  Compare -62 and -82
  Swap -62 and -82
  List after swap: [-82, -62, 31, 61, -61]
  Compare -62 and 31
  No swap needed
  Compare 31 and 61
  No swap needed
  Compare 61 and -61
  Swap 61 and -61
  List after swap: [-82, -62, 31, -61, 61]

Pass 2:
  Compare -82 and -62
  No swap needed
  Compare -62 and 31
  No swap needed
  Compare 31 and -61
  Swap 31 and -61
  List after swap: [-82, -62, -61, 31, 61]

Pass 3:
  Compare -82 and -62
  No swap needed
  Compare -62 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -62, -61, 31, 61]
</think>

<response>-82, -62, -61, 31, 61</response>


input: Use the bubble sort technique to reorder 89, -38, 98, -100, 55, 2, 43 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [89, -38, 98, -100, 55, 2, 43]

Pass 1:
  Compare 89 and -38
  Swap 89 and -38
  List after swap: [-38, 89, 98, -100, 55, 2, 43]
  Compare 89 and 98
  No swap needed
  Compare 98 and -100
  Swap 98 and -100
  List after swap: [-38, 89, -100, 98, 55, 2, 43]
  Compare 98 and 55
  Swap 98 and 55
  List after swap: [-38, 89, -100, 55, 98, 2, 43]
  Compare 98 and 2
  Swap 98 and 2
  List after swap: [-38, 89, -100, 55, 2, 98, 43]
  Compare 98 and 43
  Swap 98 and 43
  List after swap: [-38, 89, -100, 55, 2, 43, 98]

Pass 2:
  Compare -38 and 89
  No swap needed
  Compare 89 and -100
  Swap 89 and -100
  List after swap: [-38, -100, 89, 55, 2, 43, 98]
  Compare 89 and 55
  Swap 89 and 55
  List after swap: [-38, -100, 55, 89, 2, 43, 98]
  Compare 89 and 2
  Swap 89 and 2
  List after swap: [-38, -100, 55, 2, 89, 43, 98]
  Compare 89 and 43
  Swap 89 and 43
  List after swap: [-38, -100, 55, 2, 43, 89, 98]

Pass 3:
  Compare -38 and -100
  Swap -38 and -100
  List after swap: [-100, -38, 55, 2, 43, 89, 98]
  Compare -38 and 55
  No swap needed
  Compare 55 and 2
  Swap 55 and 2
  List after swap: [-100, -38, 2, 55, 43, 89, 98]
  Compare 55 and 43
  Swap 55 and 43
  List after swap: [-100, -38, 2, 43, 55, 89, 98]

Pass 4:
  Compare -100 and -38
  No swap needed
  Compare -38 and 2
  No swap needed
  Compare 2 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -38, 2, 43, 55, 89, 98]
</think>

<response>-100, -38, 2, 43, 55, 89, 98</response>


input: Execute bubble sort to sort -55, -34, 6, -57, -49, 57, 64, -54 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-55, -34, 6, -57, -49, 57, 64, -54]

Pass 1:
  Compare -55 and -34
  No swap needed
  Compare -34 and 6
  No swap needed
  Compare 6 and -57
  Swap 6 and -57
  List after swap: [-55, -34, -57, 6, -49, 57, 64, -54]
  Compare 6 and -49
  Swap 6 and -49
  List after swap: [-55, -34, -57, -49, 6, 57, 64, -54]
  Compare 6 and 57
  No swap needed
  Compare 57 and 64
  No swap needed
  Compare 64 and -54
  Swap 64 and -54
  List after swap: [-55, -34, -57, -49, 6, 57, -54, 64]

Pass 2:
  Compare -55 and -34
  No swap needed
  Compare -34 and -57
  Swap -34 and -57
  List after swap: [-55, -57, -34, -49, 6, 57, -54, 64]
  Compare -34 and -49
  Swap -34 and -49
  List after swap: [-55, -57, -49, -34, 6, 57, -54, 64]
  Compare -34 and 6
  No swap needed
  Compare 6 and 57
  No swap needed
  Compare 57 and -54
  Swap 57 and -54
  List after swap: [-55, -57, -49, -34, 6, -54, 57, 64]

Pass 3:
  Compare -55 and -57
  Swap -55 and -57
  List after swap: [-57, -55, -49, -34, 6, -54, 57, 64]
  Compare -55 and -49
  No swap needed
  Compare -49 and -34
  No swap needed
  Compare -34 and 6
  No swap needed
  Compare 6 and -54
  Swap 6 and -54
  List after swap: [-57, -55, -49, -34, -54, 6, 57, 64]

Pass 4:
  Compare -57 and -55
  No swap needed
  Compare -55 and -49
  No swap needed
  Compare -49 and -34
  No swap needed
  Compare -34 and -54
  Swap -34 and -54
  List after swap: [-57, -55, -49, -54, -34, 6, 57, 64]

Pass 5:
  Compare -57 and -55
  No swap needed
  Compare -55 and -49
  No swap needed
  Compare -49 and -54
  Swap -49 and -54
  List after swap: [-57, -55, -54, -49, -34, 6, 57, 64]

Pass 6:
  Compare -57 and -55
  No swap needed
  Compare -55 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -55, -54, -49, -34, 6, 57, 64]
</think>

<response>-57, -55, -54, -49, -34, 6, 57, 64</response>


input: Using the bubble sort method, sort -45, 24, -80, -49, 74, -9, 45, -10, -36 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-45, 24, -80, -49, 74, -9, 45, -10, -36]

Pass 1:
  Compare -45 and 24
  No swap needed
  Compare 24 and -80
  Swap 24 and -80
  List after swap: [-45, -80, 24, -49, 74, -9, 45, -10, -36]
  Compare 24 and -49
  Swap 24 and -49
  List after swap: [-45, -80, -49, 24, 74, -9, 45, -10, -36]
  Compare 24 and 74
  No swap needed
  Compare 74 and -9
  Swap 74 and -9
  List after swap: [-45, -80, -49, 24, -9, 74, 45, -10, -36]
  Compare 74 and 45
  Swap 74 and 45
  List after swap: [-45, -80, -49, 24, -9, 45, 74, -10, -36]
  Compare 74 and -10
  Swap 74 and -10
  List after swap: [-45, -80, -49, 24, -9, 45, -10, 74, -36]
  Compare 74 and -36
  Swap 74 and -36
  List after swap: [-45, -80, -49, 24, -9, 45, -10, -36, 74]

Pass 2:
  Compare -45 and -80
  Swap -45 and -80
  List after swap: [-80, -45, -49, 24, -9, 45, -10, -36, 74]
  Compare -45 and -49
  Swap -45 and -49
  List after swap: [-80, -49, -45, 24, -9, 45, -10, -36, 74]
  Compare -45 and 24
  No swap needed
  Compare 24 and -9
  Swap 24 and -9
  List after swap: [-80, -49, -45, -9, 24, 45, -10, -36, 74]
  Compare 24 and 45
  No swap needed
  Compare 45 and -10
  Swap 45 and -10
  List after swap: [-80, -49, -45, -9, 24, -10, 45, -36, 74]
  Compare 45 and -36
  Swap 45 and -36
  List after swap: [-80, -49, -45, -9, 24, -10, -36, 45, 74]

Pass 3:
  Compare -80 and -49
  No swap needed
  Compare -49 and -45
  No swap needed
  Compare -45 and -9
  No swap needed
  Compare -9 and 24
  No swap needed
  Compare 24 and -10
  Swap 24 and -10
  List after swap: [-80, -49, -45, -9, -10, 24, -36, 45, 74]
  Compare 24 and -36
  Swap 24 and -36
  List after swap: [-80, -49, -45, -9, -10, -36, 24, 45, 74]

Pass 4:
  Compare -80 and -49
  No swap needed
  Compare -49 and -45
  No swap needed
  Compare -45 and -9
  No swap needed
  Compare -9 and -10
  Swap -9 and -10
  List after swap: [-80, -49, -45, -10, -9, -36, 24, 45, 74]
  Compare -9 and -36
  Swap -9 and -36
  List after swap: [-80, -49, -45, -10, -36, -9, 24, 45, 74]

Pass 5:
  Compare -80 and -49
  No swap needed
  Compare -49 and -45
  No swap needed
  Compare -45 and -10
  No swap needed
  Compare -10 and -36
  Swap -10 and -36
  List after swap: [-80, -49, -45, -36, -10, -9, 24, 45, 74]

Pass 6:
  Compare -80 and -49
  No swap needed
  Compare -49 and -45
  No swap needed
  Compare -45 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -49, -45, -36, -10, -9, 24, 45, 74]
</think>

<response>-80, -49, -45, -36, -10, -9, 24, 45, 74</response>


input: Demonstrate how bubble sort orders the integers -11, -18, -35, -31, -32, -14 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-11, -18, -35, -31, -32, -14]

Pass 1:
  Compare -11 and -18
  Swap -11 and -18
  List after swap: [-18, -11, -35, -31, -32, -14]
  Compare -11 and -35
  Swap -11 and -35
  List after swap: [-18, -35, -11, -31, -32, -14]
  Compare -11 and -31
  Swap -11 and -31
  List after swap: [-18, -35, -31, -11, -32, -14]
  Compare -11 and -32
  Swap -11 and -32
  List after swap: [-18, -35, -31, -32, -11, -14]
  Compare -11 and -14
  Swap -11 and -14
  List after swap: [-18, -35, -31, -32, -14, -11]

Pass 2:
  Compare -18 and -35
  Swap -18 and -35
  List after swap: [-35, -18, -31, -32, -14, -11]
  Compare -18 and -31
  Swap -18 and -31
  List after swap: [-35, -31, -18, -32, -14, -11]
  Compare -18 and -32
  Swap -18 and -32
  List after swap: [-35, -31, -32, -18, -14, -11]
  Compare -18 and -14
  No swap needed

Pass 3:
  Compare -35 and -31
  No swap needed
  Compare -31 and -32
  Swap -31 and -32
  List after swap: [-35, -32, -31, -18, -14, -11]
  Compare -31 and -18
  No swap needed

Pass 4:
  Compare -35 and -32
  No swap needed
  Compare -32 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -32, -31, -18, -14, -11]
</think>

<response>-35, -32, -31, -18, -14, -11</response>


input: Sort the list 98, 8, 16, 24, -96, 35, 14 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [98, 8, 16, 24, -96, 35, 14]

Pass 1:
  Compare 98 and 8
  Swap 98 and 8
  List after swap: [8, 98, 16, 24, -96, 35, 14]
  Compare 98 and 16
  Swap 98 and 16
  List after swap: [8, 16, 98, 24, -96, 35, 14]
  Compare 98 and 24
  Swap 98 and 24
  List after swap: [8, 16, 24, 98, -96, 35, 14]
  Compare 98 and -96
  Swap 98 and -96
  List after swap: [8, 16, 24, -96, 98, 35, 14]
  Compare 98 and 35
  Swap 98 and 35
  List after swap: [8, 16, 24, -96, 35, 98, 14]
  Compare 98 and 14
  Swap 98 and 14
  List after swap: [8, 16, 24, -96, 35, 14, 98]

Pass 2:
  Compare 8 and 16
  No swap needed
  Compare 16 and 24
  No swap needed
  Compare 24 and -96
  Swap 24 and -96
  List after swap: [8, 16, -96, 24, 35, 14, 98]
  Compare 24 and 35
  No swap needed
  Compare 35 and 14
  Swap 35 and 14
  List after swap: [8, 16, -96, 24, 14, 35, 98]

Pass 3:
  Compare 8 and 16
  No swap needed
  Compare 16 and -96
  Swap 16 and -96
  List after swap: [8, -96, 16, 24, 14, 35, 98]
  Compare 16 and 24
  No swap needed
  Compare 24 and 14
  Swap 24 and 14
  List after swap: [8, -96, 16, 14, 24, 35, 98]

Pass 4:
  Compare 8 and -96
  Swap 8 and -96
  List after swap: [-96, 8, 16, 14, 24, 35, 98]
  Compare 8 and 16
  No swap needed
  Compare 16 and 14
  Swap 16 and 14
  List after swap: [-96, 8, 14, 16, 24, 35, 98]

Pass 5:
  Compare -96 and 8
  No swap needed
  Compare 8 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, 8, 14, 16, 24, 35, 98]
</think>

<response>-96, 8, 14, 16, 24, 35, 98</response>


input: Sort these integers -37, -52, -55, 73, 88, 83, -91, -25, -89 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-37, -52, -55, 73, 88, 83, -91, -25, -89]

Pass 1:
  Compare -37 and -52
  Swap -37 and -52
  List after swap: [-52, -37, -55, 73, 88, 83, -91, -25, -89]
  Compare -37 and -55
  Swap -37 and -55
  List after swap: [-52, -55, -37, 73, 88, 83, -91, -25, -89]
  Compare -37 and 73
  No swap needed
  Compare 73 and 88
  No swap needed
  Compare 88 and 83
  Swap 88 and 83
  List after swap: [-52, -55, -37, 73, 83, 88, -91, -25, -89]
  Compare 88 and -91
  Swap 88 and -91
  List after swap: [-52, -55, -37, 73, 83, -91, 88, -25, -89]
  Compare 88 and -25
  Swap 88 and -25
  List after swap: [-52, -55, -37, 73, 83, -91, -25, 88, -89]
  Compare 88 and -89
  Swap 88 and -89
  List after swap: [-52, -55, -37, 73, 83, -91, -25, -89, 88]

Pass 2:
  Compare -52 and -55
  Swap -52 and -55
  List after swap: [-55, -52, -37, 73, 83, -91, -25, -89, 88]
  Compare -52 and -37
  No swap needed
  Compare -37 and 73
  No swap needed
  Compare 73 and 83
  No swap needed
  Compare 83 and -91
  Swap 83 and -91
  List after swap: [-55, -52, -37, 73, -91, 83, -25, -89, 88]
  Compare 83 and -25
  Swap 83 and -25
  List after swap: [-55, -52, -37, 73, -91, -25, 83, -89, 88]
  Compare 83 and -89
  Swap 83 and -89
  List after swap: [-55, -52, -37, 73, -91, -25, -89, 83, 88]

Pass 3:
  Compare -55 and -52
  No swap needed
  Compare -52 and -37
  No swap needed
  Compare -37 and 73
  No swap needed
  Compare 73 and -91
  Swap 73 and -91
  List after swap: [-55, -52, -37, -91, 73, -25, -89, 83, 88]
  Compare 73 and -25
  Swap 73 and -25
  List after swap: [-55, -52, -37, -91, -25, 73, -89, 83, 88]
  Compare 73 and -89
  Swap 73 and -89
  List after swap: [-55, -52, -37, -91, -25, -89, 73, 83, 88]

Pass 4:
  Compare -55 and -52
  No swap needed
  Compare -52 and -37
  No swap needed
  Compare -37 and -91
  Swap -37 and -91
  List after swap: [-55, -52, -91, -37, -25, -89, 73, 83, 88]
  Compare -37 and -25
  No swap needed
  Compare -25 and -89
  Swap -25 and -89
  List after swap: [-55, -52, -91, -37, -89, -25, 73, 83, 88]

Pass 5:
  Compare -55 and -52
  No swap needed
  Compare -52 and -91
  Swap -52 and -91
  List after swap: [-55, -91, -52, -37, -89, -25, 73, 83, 88]
  Compare -52 and -37
  No swap needed
  Compare -37 and -89
  Swap -37 and -89
  List after swap: [-55, -91, -52, -89, -37, -25, 73, 83, 88]

Pass 6:
  Compare -55 and -91
  Swap -55 and -91
  List after swap: [-91, -55, -52, -89, -37, -25, 73, 83, 88]
  Compare -55 and -52
  No swap needed
  Compare -52 and -89
  Swap -52 and -89
  List after swap: [-91, -55, -89, -52, -37, -25, 73, 83, 88]

Pass 7:
  Compare -91 and -55
  No swap needed
  Compare -55 and -89
  Swap -55 and -89
  List after swap: [-91, -89, -55, -52, -37, -25, 73, 83, 88]

Pass 8:
  Compare -91 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -89, -55, -52, -37, -25, 73, 83, 88]
</think>

<response>-91, -89, -55, -52, -37, -25, 73, 83, 88</response>


input: Carry out the bubble sort algorithm on 98, -11, 78, 13, -27, 4, -1, 48 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [98, -11, 78, 13, -27, 4, -1, 48]

Pass 1:
  Compare 98 and -11
  Swap 98 and -11
  List after swap: [-11, 98, 78, 13, -27, 4, -1, 48]
  Compare 98 and 78
  Swap 98 and 78
  List after swap: [-11, 78, 98, 13, -27, 4, -1, 48]
  Compare 98 and 13
  Swap 98 and 13
  List after swap: [-11, 78, 13, 98, -27, 4, -1, 48]
  Compare 98 and -27
  Swap 98 and -27
  List after swap: [-11, 78, 13, -27, 98, 4, -1, 48]
  Compare 98 and 4
  Swap 98 and 4
  List after swap: [-11, 78, 13, -27, 4, 98, -1, 48]
  Compare 98 and -1
  Swap 98 and -1
  List after swap: [-11, 78, 13, -27, 4, -1, 98, 48]
  Compare 98 and 48
  Swap 98 and 48
  List after swap: [-11, 78, 13, -27, 4, -1, 48, 98]

Pass 2:
  Compare -11 and 78
  No swap needed
  Compare 78 and 13
  Swap 78 and 13
  List after swap: [-11, 13, 78, -27, 4, -1, 48, 98]
  Compare 78 and -27
  Swap 78 and -27
  List after swap: [-11, 13, -27, 78, 4, -1, 48, 98]
  Compare 78 and 4
  Swap 78 and 4
  List after swap: [-11, 13, -27, 4, 78, -1, 48, 98]
  Compare 78 and -1
  Swap 78 and -1
  List after swap: [-11, 13, -27, 4, -1, 78, 48, 98]
  Compare 78 and 48
  Swap 78 and 48
  List after swap: [-11, 13, -27, 4, -1, 48, 78, 98]

Pass 3:
  Compare -11 and 13
  No swap needed
  Compare 13 and -27
  Swap 13 and -27
  List after swap: [-11, -27, 13, 4, -1, 48, 78, 98]
  Compare 13 and 4
  Swap 13 and 4
  List after swap: [-11, -27, 4, 13, -1, 48, 78, 98]
  Compare 13 and -1
  Swap 13 and -1
  List after swap: [-11, -27, 4, -1, 13, 48, 78, 98]
  Compare 13 and 48
  No swap needed

Pass 4:
  Compare -11 and -27
  Swap -11 and -27
  List after swap: [-27, -11, 4, -1, 13, 48, 78, 98]
  Compare -11 and 4
  No swap needed
  Compare 4 and -1
  Swap 4 and -1
  List after swap: [-27, -11, -1, 4, 13, 48, 78, 98]
  Compare 4 and 13
  No swap needed

Pass 5:
  Compare -27 and -11
  No swap needed
  Compare -11 and -1
  No swap needed
  Compare -1 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -11, -1, 4, 13, 48, 78, 98]
</think>

<response>-27, -11, -1, 4, 13, 48, 78, 98</response>


input: Carry out the bubble sort algorithm on -2, -26 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-2, -26]

Pass 1:
  Compare -2 and -26
  Swap -2 and -26
  List after swap: [-26, -2]

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

Final sorted list: [-26, -2]
</think>

<response>-26, -2</response>


input: Carry out the bubble sort algorithm on -34, 53, -66, 58, -17, 68, -70, -67, 93 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-34, 53, -66, 58, -17, 68, -70, -67, 93]

Pass 1:
  Compare -34 and 53
  No swap needed
  Compare 53 and -66
  Swap 53 and -66
  List after swap: [-34, -66, 53, 58, -17, 68, -70, -67, 93]
  Compare 53 and 58
  No swap needed
  Compare 58 and -17
  Swap 58 and -17
  List after swap: [-34, -66, 53, -17, 58, 68, -70, -67, 93]
  Compare 58 and 68
  No swap needed
  Compare 68 and -70
  Swap 68 and -70
  List after swap: [-34, -66, 53, -17, 58, -70, 68, -67, 93]
  Compare 68 and -67
  Swap 68 and -67
  List after swap: [-34, -66, 53, -17, 58, -70, -67, 68, 93]
  Compare 68 and 93
  No swap needed

Pass 2:
  Compare -34 and -66
  Swap -34 and -66
  List after swap: [-66, -34, 53, -17, 58, -70, -67, 68, 93]
  Compare -34 and 53
  No swap needed
  Compare 53 and -17
  Swap 53 and -17
  List after swap: [-66, -34, -17, 53, 58, -70, -67, 68, 93]
  Compare 53 and 58
  No swap needed
  Compare 58 and -70
  Swap 58 and -70
  List after swap: [-66, -34, -17, 53, -70, 58, -67, 68, 93]
  Compare 58 and -67
  Swap 58 and -67
  List after swap: [-66, -34, -17, 53, -70, -67, 58, 68, 93]
  Compare 58 and 68
  No swap needed

Pass 3:
  Compare -66 and -34
  No swap needed
  Compare -34 and -17
  No swap needed
  Compare -17 and 53
  No swap needed
  Compare 53 and -70
  Swap 53 and -70
  List after swap: [-66, -34, -17, -70, 53, -67, 58, 68, 93]
  Compare 53 and -67
  Swap 53 and -67
  List after swap: [-66, -34, -17, -70, -67, 53, 58, 68, 93]
  Compare 53 and 58
  No swap needed

Pass 4:
  Compare -66 and -34
  No swap needed
  Compare -34 and -17
  No swap needed
  Compare -17 and -70
  Swap -17 and -70
  List after swap: [-66, -34, -70, -17, -67, 53, 58, 68, 93]
  Compare -17 and -67
  Swap -17 and -67
  List after swap: [-66, -34, -70, -67, -17, 53, 58, 68, 93]
  Compare -17 and 53
  No swap needed

Pass 5:
  Compare -66 and -34
  No swap needed
  Compare -34 and -70
  Swap -34 and -70
  List after swap: [-66, -70, -34, -67, -17, 53, 58, 68, 93]
  Compare -34 and -67
  Swap -34 and -67
  List after swap: [-66, -70, -67, -34, -17, 53, 58, 68, 93]
  Compare -34 and -17
  No swap needed

Pass 6:
  Compare -66 and -70
  Swap -66 and -70
  List after swap: [-70, -66, -67, -34, -17, 53, 58, 68, 93]
  Compare -66 and -67
  Swap -66 and -67
  List after swap: [-70, -67, -66, -34, -17, 53, 58, 68, 93]
  Compare -66 and -34
  No swap needed

Pass 7:
  Compare -70 and -67
  No swap needed
  Compare -67 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -67, -66, -34, -17, 53, 58, 68, 93]
</think>

<response>-70, -67, -66, -34, -17, 53, 58, 68, 93</response>


input: Demonstrate how bubble sort orders the integers 65, 58, 12, -2 in ascending sequence, showing all steps.

output:
<think>
Initial list: [65, 58, 12, -2]

Pass 1:
  Compare 65 and 58
  Swap 65 and 58
  List after swap: [58, 65, 12, -2]
  Compare 65 and 12
  Swap 65 and 12
  List after swap: [58, 12, 65, -2]
  Compare 65 and -2
  Swap 65 and -2
  List after swap: [58, 12, -2, 65]

Pass 2:
  Compare 58 and 12
  Swap 58 and 12
  List after swap: [12, 58, -2, 65]
  Compare 58 and -2
  Swap 58 and -2
  List after swap: [12, -2, 58, 65]

Pass 3:
  Compare 12 and -2
  Swap 12 and -2
  List after swap: [-2, 12, 58, 65]

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

Final sorted list: [-2, 12, 58, 65]
</think>

<response>-2, 12, 58, 65</response>


input: Sort the list -41, 49, 93, 3, -73, -29, -48, 0 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-41, 49, 93, 3, -73, -29, -48, 0]

Pass 1:
  Compare -41 and 49
  No swap needed
  Compare 49 and 93
  No swap needed
  Compare 93 and 3
  Swap 93 and 3
  List after swap: [-41, 49, 3, 93, -73, -29, -48, 0]
  Compare 93 and -73
  Swap 93 and -73
  List after swap: [-41, 49, 3, -73, 93, -29, -48, 0]
  Compare 93 and -29
  Swap 93 and -29
  List after swap: [-41, 49, 3, -73, -29, 93, -48, 0]
  Compare 93 and -48
  Swap 93 and -48
  List after swap: [-41, 49, 3, -73, -29, -48, 93, 0]
  Compare 93 and 0
  Swap 93 and 0
  List after swap: [-41, 49, 3, -73, -29, -48, 0, 93]

Pass 2:
  Compare -41 and 49
  No swap needed
  Compare 49 and 3
  Swap 49 and 3
  List after swap: [-41, 3, 49, -73, -29, -48, 0, 93]
  Compare 49 and -73
  Swap 49 and -73
  List after swap: [-41, 3, -73, 49, -29, -48, 0, 93]
  Compare 49 and -29
  Swap 49 and -29
  List after swap: [-41, 3, -73, -29, 49, -48, 0, 93]
  Compare 49 and -48
  Swap 49 and -48
  List after swap: [-41, 3, -73, -29, -48, 49, 0, 93]
  Compare 49 and 0
  Swap 49 and 0
  List after swap: [-41, 3, -73, -29, -48, 0, 49, 93]

Pass 3:
  Compare -41 and 3
  No swap needed
  Compare 3 and -73
  Swap 3 and -73
  List after swap: [-41, -73, 3, -29, -48, 0, 49, 93]
  Compare 3 and -29
  Swap 3 and -29
  List after swap: [-41, -73, -29, 3, -48, 0, 49, 93]
  Compare 3 and -48
  Swap 3 and -48
  List after swap: [-41, -73, -29, -48, 3, 0, 49, 93]
  Compare 3 and 0
  Swap 3 and 0
  List after swap: [-41, -73, -29, -48, 0, 3, 49, 93]

Pass 4:
  Compare -41 and -73
  Swap -41 and -73
  List after swap: [-73, -41, -29, -48, 0, 3, 49, 93]
  Compare -41 and -29
  No swap needed
  Compare -29 and -48
  Swap -29 and -48
  List after swap: [-73, -41, -48, -29, 0, 3, 49, 93]
  Compare -29 and 0
  No swap needed

Pass 5:
  Compare -73 and -41
  No swap needed
  Compare -41 and -48
  Swap -41 and -48
  List after swap: [-73, -48, -41, -29, 0, 3, 49, 93]
  Compare -41 and -29
  No swap needed

Pass 6:
  Compare -73 and -48
  No swap needed
  Compare -48 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -48, -41, -29, 0, 3, 49, 93]
</think>

<response>-73, -48, -41, -29, 0, 3, 49, 93</response>


input: Demonstrate how bubble sort orders the integers -96, -75, -77, -7, 9, 21, 27, -63, -15, -87 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-96, -75, -77, -7, 9, 21, 27, -63, -15, -87]

Pass 1:
  Compare -96 and -75
  No swap needed
  Compare -75 and -77
  Swap -75 and -77
  List after swap: [-96, -77, -75, -7, 9, 21, 27, -63, -15, -87]
  Compare -75 and -7
  No swap needed
  Compare -7 and 9
  No swap needed
  Compare 9 and 21
  No swap needed
  Compare 21 and 27
  No swap needed
  Compare 27 and -63
  Swap 27 and -63
  List after swap: [-96, -77, -75, -7, 9, 21, -63, 27, -15, -87]
  Compare 27 and -15
  Swap 27 and -15
  List after swap: [-96, -77, -75, -7, 9, 21, -63, -15, 27, -87]
  Compare 27 and -87
  Swap 27 and -87
  List after swap: [-96, -77, -75, -7, 9, 21, -63, -15, -87, 27]

Pass 2:
  Compare -96 and -77
  No swap needed
  Compare -77 and -75
  No swap needed
  Compare -75 and -7
  No swap needed
  Compare -7 and 9
  No swap needed
  Compare 9 and 21
  No swap needed
  Compare 21 and -63
  Swap 21 and -63
  List after swap: [-96, -77, -75, -7, 9, -63, 21, -15, -87, 27]
  Compare 21 and -15
  Swap 21 and -15
  List after swap: [-96, -77, -75, -7, 9, -63, -15, 21, -87, 27]
  Compare 21 and -87
  Swap 21 and -87
  List after swap: [-96, -77, -75, -7, 9, -63, -15, -87, 21, 27]

Pass 3:
  Compare -96 and -77
  No swap needed
  Compare -77 and -75
  No swap needed
  Compare -75 and -7
  No swap needed
  Compare -7 and 9
  No swap needed
  Compare 9 and -63
  Swap 9 and -63
  List after swap: [-96, -77, -75, -7, -63, 9, -15, -87, 21, 27]
  Compare 9 and -15
  Swap 9 and -15
  List after swap: [-96, -77, -75, -7, -63, -15, 9, -87, 21, 27]
  Compare 9 and -87
  Swap 9 and -87
  List after swap: [-96, -77, -75, -7, -63, -15, -87, 9, 21, 27]

Pass 4:
  Compare -96 and -77
  No swap needed
  Compare -77 and -75
  No swap needed
  Compare -75 and -7
  No swap needed
  Compare -7 and -63
  Swap -7 and -63
  List after swap: [-96, -77, -75, -63, -7, -15, -87, 9, 21, 27]
  Compare -7 and -15
  Swap -7 and -15
  List after swap: [-96, -77, -75, -63, -15, -7, -87, 9, 21, 27]
  Compare -7 and -87
  Swap -7 and -87
  List after swap: [-96, -77, -75, -63, -15, -87, -7, 9, 21, 27]

Pass 5:
  Compare -96 and -77
  No swap needed
  Compare -77 and -75
  No swap needed
  Compare -75 and -63
  No swap needed
  Compare -63 and -15
  No swap needed
  Compare -15 and -87
  Swap -15 and -87
  List after swap: [-96, -77, -75, -63, -87, -15, -7, 9, 21, 27]

Pass 6:
  Compare -96 and -77
  No swap needed
  Compare -77 and -75
  No swap needed
  Compare -75 and -63
  No swap needed
  Compare -63 and -87
  Swap -63 and -87
  List after swap: [-96, -77, -75, -87, -63, -15, -7, 9, 21, 27]

Pass 7:
  Compare -96 and -77
  No swap needed
  Compare -77 and -75
  No swap needed
  Compare -75 and -87
  Swap -75 and -87
  List after swap: [-96, -77, -87, -75, -63, -15, -7, 9, 21, 27]

Pass 8:
  Compare -96 and -77
  No swap needed
  Compare -77 and -87
  Swap -77 and -87
  List after swap: [-96, -87, -77, -75, -63, -15, -7, 9, 21, 27]

Pass 9:
  Compare -96 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -87, -77, -75, -63, -15, -7, 9, 21, 27]
</think>

<response>-96, -87, -77, -75, -63, -15, -7, 9, 21, 27</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 22, -64.

output:
<think>
Initial list: [22, -64]

Pass 1:
  Compare 22 and -64
  Swap 22 and -64
  List after swap: [-64, 22]

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

Final sorted list: [-64, 22]
</think>

<response>-64, 22</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -32, 39, -18, -57, 29, -40, -81, 36, 46, 14.

output:
<think>
Initial list: [-32, 39, -18, -57, 29, -40, -81, 36, 46, 14]

Pass 1:
  Compare -32 and 39
  No swap needed
  Compare 39 and -18
  Swap 39 and -18
  List after swap: [-32, -18, 39, -57, 29, -40, -81, 36, 46, 14]
  Compare 39 and -57
  Swap 39 and -57
  List after swap: [-32, -18, -57, 39, 29, -40, -81, 36, 46, 14]
  Compare 39 and 29
  Swap 39 and 29
  List after swap: [-32, -18, -57, 29, 39, -40, -81, 36, 46, 14]
  Compare 39 and -40
  Swap 39 and -40
  List after swap: [-32, -18, -57, 29, -40, 39, -81, 36, 46, 14]
  Compare 39 and -81
  Swap 39 and -81
  List after swap: [-32, -18, -57, 29, -40, -81, 39, 36, 46, 14]
  Compare 39 and 36
  Swap 39 and 36
  List after swap: [-32, -18, -57, 29, -40, -81, 36, 39, 46, 14]
  Compare 39 and 46
  No swap needed
  Compare 46 and 14
  Swap 46 and 14
  List after swap: [-32, -18, -57, 29, -40, -81, 36, 39, 14, 46]

Pass 2:
  Compare -32 and -18
  No swap needed
  Compare -18 and -57
  Swap -18 and -57
  List after swap: [-32, -57, -18, 29, -40, -81, 36, 39, 14, 46]
  Compare -18 and 29
  No swap needed
  Compare 29 and -40
  Swap 29 and -40
  List after swap: [-32, -57, -18, -40, 29, -81, 36, 39, 14, 46]
  Compare 29 and -81
  Swap 29 and -81
  List after swap: [-32, -57, -18, -40, -81, 29, 36, 39, 14, 46]
  Compare 29 and 36
  No swap needed
  Compare 36 and 39
  No swap needed
  Compare 39 and 14
  Swap 39 and 14
  List after swap: [-32, -57, -18, -40, -81, 29, 36, 14, 39, 46]

Pass 3:
  Compare -32 and -57
  Swap -32 and -57
  List after swap: [-57, -32, -18, -40, -81, 29, 36, 14, 39, 46]
  Compare -32 and -18
  No swap needed
  Compare -18 and -40
  Swap -18 and -40
  List after swap: [-57, -32, -40, -18, -81, 29, 36, 14, 39, 46]
  Compare -18 and -81
  Swap -18 and -81
  List after swap: [-57, -32, -40, -81, -18, 29, 36, 14, 39, 46]
  Compare -18 and 29
  No swap needed
  Compare 29 and 36
  No swap needed
  Compare 36 and 14
  Swap 36 and 14
  List after swap: [-57, -32, -40, -81, -18, 29, 14, 36, 39, 46]

Pass 4:
  Compare -57 and -32
  No swap needed
  Compare -32 and -40
  Swap -32 and -40
  List after swap: [-57, -40, -32, -81, -18, 29, 14, 36, 39, 46]
  Compare -32 and -81
  Swap -32 and -81
  List after swap: [-57, -40, -81, -32, -18, 29, 14, 36, 39, 46]
  Compare -32 and -18
  No swap needed
  Compare -18 and 29
  No swap needed
  Compare 29 and 14
  Swap 29 and 14
  List after swap: [-57, -40, -81, -32, -18, 14, 29, 36, 39, 46]

Pass 5:
  Compare -57 and -40
  No swap needed
  Compare -40 and -81
  Swap -40 and -81
  List after swap: [-57, -81, -40, -32, -18, 14, 29, 36, 39, 46]
  Compare -40 and -32
  No swap needed
  Compare -32 and -18
  No swap needed
  Compare -18 and 14
  No swap needed

Pass 6:
  Compare -57 and -81
  Swap -57 and -81
  List after swap: [-81, -57, -40, -32, -18, 14, 29, 36, 39, 46]
  Compare -57 and -40
  No swap needed
  Compare -40 and -32
  No swap needed
  Compare -32 and -18
  No swap needed

Pass 7:
  Compare -81 and -57
  No swap needed
  Compare -57 and -40
  No swap needed
  Compare -40 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -57, -40, -32, -18, 14, 29, 36, 39, 46]
</think>

<response>-81, -57, -40, -32, -18, 14, 29, 36, 39, 46</response>


input: Implement bubble sort on -75, -77, -87, -81, 77, -93, -43 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-75, -77, -87, -81, 77, -93, -43]

Pass 1:
  Compare -75 and -77
  Swap -75 and -77
  List after swap: [-77, -75, -87, -81, 77, -93, -43]
  Compare -75 and -87
  Swap -75 and -87
  List after swap: [-77, -87, -75, -81, 77, -93, -43]
  Compare -75 and -81
  Swap -75 and -81
  List after swap: [-77, -87, -81, -75, 77, -93, -43]
  Compare -75 and 77
  No swap needed
  Compare 77 and -93
  Swap 77 and -93
  List after swap: [-77, -87, -81, -75, -93, 77, -43]
  Compare 77 and -43
  Swap 77 and -43
  List after swap: [-77, -87, -81, -75, -93, -43, 77]

Pass 2:
  Compare -77 and -87
  Swap -77 and -87
  List after swap: [-87, -77, -81, -75, -93, -43, 77]
  Compare -77 and -81
  Swap -77 and -81
  List after swap: [-87, -81, -77, -75, -93, -43, 77]
  Compare -77 and -75
  No swap needed
  Compare -75 and -93
  Swap -75 and -93
  List after swap: [-87, -81, -77, -93, -75, -43, 77]
  Compare -75 and -43
  No swap needed

Pass 3:
  Compare -87 and -81
  No swap needed
  Compare -81 and -77
  No swap needed
  Compare -77 and -93
  Swap -77 and -93
  List after swap: [-87, -81, -93, -77, -75, -43, 77]
  Compare -77 and -75
  No swap needed

Pass 4:
  Compare -87 and -81
  No swap needed
  Compare -81 and -93
  Swap -81 and -93
  List after swap: [-87, -93, -81, -77, -75, -43, 77]
  Compare -81 and -77
  No swap needed

Pass 5:
  Compare -87 and -93
  Swap -87 and -93
  List after swap: [-93, -87, -81, -77, -75, -43, 77]
  Compare -87 and -81
  No swap needed

Pass 6:
  Compare -93 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -87, -81, -77, -75, -43, 77]
</think>

<response>-93, -87, -81, -77, -75, -43, 77</response>


input: Carry out the bubble sort algorithm on -8, -27, 21, -63, 29, -37 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-8, -27, 21, -63, 29, -37]

Pass 1:
  Compare -8 and -27
  Swap -8 and -27
  List after swap: [-27, -8, 21, -63, 29, -37]
  Compare -8 and 21
  No swap needed
  Compare 21 and -63
  Swap 21 and -63
  List after swap: [-27, -8, -63, 21, 29, -37]
  Compare 21 and 29
  No swap needed
  Compare 29 and -37
  Swap 29 and -37
  List after swap: [-27, -8, -63, 21, -37, 29]

Pass 2:
  Compare -27 and -8
  No swap needed
  Compare -8 and -63
  Swap -8 and -63
  List after swap: [-27, -63, -8, 21, -37, 29]
  Compare -8 and 21
  No swap needed
  Compare 21 and -37
  Swap 21 and -37
  List after swap: [-27, -63, -8, -37, 21, 29]

Pass 3:
  Compare -27 and -63
  Swap -27 and -63
  List after swap: [-63, -27, -8, -37, 21, 29]
  Compare -27 and -8
  No swap needed
  Compare -8 and -37
  Swap -8 and -37
  List after swap: [-63, -27, -37, -8, 21, 29]

Pass 4:
  Compare -63 and -27
  No swap needed
  Compare -27 and -37
  Swap -27 and -37
  List after swap: [-63, -37, -27, -8, 21, 29]

Pass 5:
  Compare -63 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -37, -27, -8, 21, 29]
</think>

<response>-63, -37, -27, -8, 21, 29</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 43, -92, -14, 42, 24.

output:
<think>
Initial list: [43, -92, -14, 42, 24]

Pass 1:
  Compare 43 and -92
  Swap 43 and -92
  List after swap: [-92, 43, -14, 42, 24]
  Compare 43 and -14
  Swap 43 and -14
  List after swap: [-92, -14, 43, 42, 24]
  Compare 43 and 42
  Swap 43 and 42
  List after swap: [-92, -14, 42, 43, 24]
  Compare 43 and 24
  Swap 43 and 24
  List after swap: [-92, -14, 42, 24, 43]

Pass 2:
  Compare -92 and -14
  No swap needed
  Compare -14 and 42
  No swap needed
  Compare 42 and 24
  Swap 42 and 24
  List after swap: [-92, -14, 24, 42, 43]

Pass 3:
  Compare -92 and -14
  No swap needed
  Compare -14 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -14, 24, 42, 43]
</think>

<response>-92, -14, 24, 42, 43</response>


input: Demonstrate how bubble sort orders the integers -27, 22, -33, 62, -63, 74, 82, -51, 52, 73 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-27, 22, -33, 62, -63, 74, 82, -51, 52, 73]

Pass 1:
  Compare -27 and 22
  No swap needed
  Compare 22 and -33
  Swap 22 and -33
  List after swap: [-27, -33, 22, 62, -63, 74, 82, -51, 52, 73]
  Compare 22 and 62
  No swap needed
  Compare 62 and -63
  Swap 62 and -63
  List after swap: [-27, -33, 22, -63, 62, 74, 82, -51, 52, 73]
  Compare 62 and 74
  No swap needed
  Compare 74 and 82
  No swap needed
  Compare 82 and -51
  Swap 82 and -51
  List after swap: [-27, -33, 22, -63, 62, 74, -51, 82, 52, 73]
  Compare 82 and 52
  Swap 82 and 52
  List after swap: [-27, -33, 22, -63, 62, 74, -51, 52, 82, 73]
  Compare 82 and 73
  Swap 82 and 73
  List after swap: [-27, -33, 22, -63, 62, 74, -51, 52, 73, 82]

Pass 2:
  Compare -27 and -33
  Swap -27 and -33
  List after swap: [-33, -27, 22, -63, 62, 74, -51, 52, 73, 82]
  Compare -27 and 22
  No swap needed
  Compare 22 and -63
  Swap 22 and -63
  List after swap: [-33, -27, -63, 22, 62, 74, -51, 52, 73, 82]
  Compare 22 and 62
  No swap needed
  Compare 62 and 74
  No swap needed
  Compare 74 and -51
  Swap 74 and -51
  List after swap: [-33, -27, -63, 22, 62, -51, 74, 52, 73, 82]
  Compare 74 and 52
  Swap 74 and 52
  List after swap: [-33, -27, -63, 22, 62, -51, 52, 74, 73, 82]
  Compare 74 and 73
  Swap 74 and 73
  List after swap: [-33, -27, -63, 22, 62, -51, 52, 73, 74, 82]

Pass 3:
  Compare -33 and -27
  No swap needed
  Compare -27 and -63
  Swap -27 and -63
  List after swap: [-33, -63, -27, 22, 62, -51, 52, 73, 74, 82]
  Compare -27 and 22
  No swap needed
  Compare 22 and 62
  No swap needed
  Compare 62 and -51
  Swap 62 and -51
  List after swap: [-33, -63, -27, 22, -51, 62, 52, 73, 74, 82]
  Compare 62 and 52
  Swap 62 and 52
  List after swap: [-33, -63, -27, 22, -51, 52, 62, 73, 74, 82]
  Compare 62 and 73
  No swap needed

Pass 4:
  Compare -33 and -63
  Swap -33 and -63
  List after swap: [-63, -33, -27, 22, -51, 52, 62, 73, 74, 82]
  Compare -33 and -27
  No swap needed
  Compare -27 and 22
  No swap needed
  Compare 22 and -51
  Swap 22 and -51
  List after swap: [-63, -33, -27, -51, 22, 52, 62, 73, 74, 82]
  Compare 22 and 52
  No swap needed
  Compare 52 and 62
  No swap needed

Pass 5:
  Compare -63 and -33
  No swap needed
  Compare -33 and -27
  No swap needed
  Compare -27 and -51
  Swap -27 and -51
  List after swap: [-63, -33, -51, -27, 22, 52, 62, 73, 74, 82]
  Compare -27 and 22
  No swap needed
  Compare 22 and 52
  No swap needed

Pass 6:
  Compare -63 and -33
  No swap needed
  Compare -33 and -51
  Swap -33 and -51
  List after swap: [-63, -51, -33, -27, 22, 52, 62, 73, 74, 82]
  Compare -33 and -27
  No swap needed
  Compare -27 and 22
  No swap needed

Pass 7:
  Compare -63 and -51
  No swap needed
  Compare -51 and -33
  No swap needed
  Compare -33 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -51, -33, -27, 22, 52, 62, 73, 74, 82]
</think>

<response>-63, -51, -33, -27, 22, 52, 62, 73, 74, 82</response>


input: Using the bubble sort method, sort 16, -48, -93, 54, -35, 96, 24, 87, 32 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [16, -48, -93, 54, -35, 96, 24, 87, 32]

Pass 1:
  Compare 16 and -48
  Swap 16 and -48
  List after swap: [-48, 16, -93, 54, -35, 96, 24, 87, 32]
  Compare 16 and -93
  Swap 16 and -93
  List after swap: [-48, -93, 16, 54, -35, 96, 24, 87, 32]
  Compare 16 and 54
  No swap needed
  Compare 54 and -35
  Swap 54 and -35
  List after swap: [-48, -93, 16, -35, 54, 96, 24, 87, 32]
  Compare 54 and 96
  No swap needed
  Compare 96 and 24
  Swap 96 and 24
  List after swap: [-48, -93, 16, -35, 54, 24, 96, 87, 32]
  Compare 96 and 87
  Swap 96 and 87
  List after swap: [-48, -93, 16, -35, 54, 24, 87, 96, 32]
  Compare 96 and 32
  Swap 96 and 32
  List after swap: [-48, -93, 16, -35, 54, 24, 87, 32, 96]

Pass 2:
  Compare -48 and -93
  Swap -48 and -93
  List after swap: [-93, -48, 16, -35, 54, 24, 87, 32, 96]
  Compare -48 and 16
  No swap needed
  Compare 16 and -35
  Swap 16 and -35
  List after swap: [-93, -48, -35, 16, 54, 24, 87, 32, 96]
  Compare 16 and 54
  No swap needed
  Compare 54 and 24
  Swap 54 and 24
  List after swap: [-93, -48, -35, 16, 24, 54, 87, 32, 96]
  Compare 54 and 87
  No swap needed
  Compare 87 and 32
  Swap 87 and 32
  List after swap: [-93, -48, -35, 16, 24, 54, 32, 87, 96]

Pass 3:
  Compare -93 and -48
  No swap needed
  Compare -48 and -35
  No swap needed
  Compare -35 and 16
  No swap needed
  Compare 16 and 24
  No swap needed
  Compare 24 and 54
  No swap needed
  Compare 54 and 32
  Swap 54 and 32
  List after swap: [-93, -48, -35, 16, 24, 32, 54, 87, 96]

Pass 4:
  Compare -93 and -48
  No swap needed
  Compare -48 and -35
  No swap needed
  Compare -35 and 16
  No swap needed
  Compare 16 and 24
  No swap needed
  Compare 24 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -48, -35, 16, 24, 32, 54, 87, 96]
</think>

<response>-93, -48, -35, 16, 24, 32, 54, 87, 96</response>


input: Arrange the numbers 93, 61, 96, 32 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [93, 61, 96, 32]

Pass 1:
  Compare 93 and 61
  Swap 93 and 61
  List after swap: [61, 93, 96, 32]
  Compare 93 and 96
  No swap needed
  Compare 96 and 32
  Swap 96 and 32
  List after swap: [61, 93, 32, 96]

Pass 2:
  Compare 61 and 93
  No swap needed
  Compare 93 and 32
  Swap 93 and 32
  List after swap: [61, 32, 93, 96]

Pass 3:
  Compare 61 and 32
  Swap 61 and 32
  List after swap: [32, 61, 93, 96]

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

Final sorted list: [32, 61, 93, 96]
</think>

<response>32, 61, 93, 96</response>


input: Sort the list -15, 7, 77, -10 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-15, 7, 77, -10]

Pass 1:
  Compare -15 and 7
  No swap needed
  Compare 7 and 77
  No swap needed
  Compare 77 and -10
  Swap 77 and -10
  List after swap: [-15, 7, -10, 77]

Pass 2:
  Compare -15 and 7
  No swap needed
  Compare 7 and -10
  Swap 7 and -10
  List after swap: [-15, -10, 7, 77]

Pass 3:
  Compare -15 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, -10, 7, 77]
</think>

<response>-15, -10, 7, 77</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -58, -70, -42, 97, -33, 9, -63, 10, -56, -29.

output:
<think>
Initial list: [-58, -70, -42, 97, -33, 9, -63, 10, -56, -29]

Pass 1:
  Compare -58 and -70
  Swap -58 and -70
  List after swap: [-70, -58, -42, 97, -33, 9, -63, 10, -56, -29]
  Compare -58 and -42
  No swap needed
  Compare -42 and 97
  No swap needed
  Compare 97 and -33
  Swap 97 and -33
  List after swap: [-70, -58, -42, -33, 97, 9, -63, 10, -56, -29]
  Compare 97 and 9
  Swap 97 and 9
  List after swap: [-70, -58, -42, -33, 9, 97, -63, 10, -56, -29]
  Compare 97 and -63
  Swap 97 and -63
  List after swap: [-70, -58, -42, -33, 9, -63, 97, 10, -56, -29]
  Compare 97 and 10
  Swap 97 and 10
  List after swap: [-70, -58, -42, -33, 9, -63, 10, 97, -56, -29]
  Compare 97 and -56
  Swap 97 and -56
  List after swap: [-70, -58, -42, -33, 9, -63, 10, -56, 97, -29]
  Compare 97 and -29
  Swap 97 and -29
  List after swap: [-70, -58, -42, -33, 9, -63, 10, -56, -29, 97]

Pass 2:
  Compare -70 and -58
  No swap needed
  Compare -58 and -42
  No swap needed
  Compare -42 and -33
  No swap needed
  Compare -33 and 9
  No swap needed
  Compare 9 and -63
  Swap 9 and -63
  List after swap: [-70, -58, -42, -33, -63, 9, 10, -56, -29, 97]
  Compare 9 and 10
  No swap needed
  Compare 10 and -56
  Swap 10 and -56
  List after swap: [-70, -58, -42, -33, -63, 9, -56, 10, -29, 97]
  Compare 10 and -29
  Swap 10 and -29
  List after swap: [-70, -58, -42, -33, -63, 9, -56, -29, 10, 97]

Pass 3:
  Compare -70 and -58
  No swap needed
  Compare -58 and -42
  No swap needed
  Compare -42 and -33
  No swap needed
  Compare -33 and -63
  Swap -33 and -63
  List after swap: [-70, -58, -42, -63, -33, 9, -56, -29, 10, 97]
  Compare -33 and 9
  No swap needed
  Compare 9 and -56
  Swap 9 and -56
  List after swap: [-70, -58, -42, -63, -33, -56, 9, -29, 10, 97]
  Compare 9 and -29
  Swap 9 and -29
  List after swap: [-70, -58, -42, -63, -33, -56, -29, 9, 10, 97]

Pass 4:
  Compare -70 and -58
  No swap needed
  Compare -58 and -42
  No swap needed
  Compare -42 and -63
  Swap -42 and -63
  List after swap: [-70, -58, -63, -42, -33, -56, -29, 9, 10, 97]
  Compare -42 and -33
  No swap needed
  Compare -33 and -56
  Swap -33 and -56
  List after swap: [-70, -58, -63, -42, -56, -33, -29, 9, 10, 97]
  Compare -33 and -29
  No swap needed

Pass 5:
  Compare -70 and -58
  No swap needed
  Compare -58 and -63
  Swap -58 and -63
  List after swap: [-70, -63, -58, -42, -56, -33, -29, 9, 10, 97]
  Compare -58 and -42
  No swap needed
  Compare -42 and -56
  Swap -42 and -56
  List after swap: [-70, -63, -58, -56, -42, -33, -29, 9, 10, 97]
  Compare -42 and -33
  No swap needed

Pass 6:
  Compare -70 and -63
  No swap needed
  Compare -63 and -58
  No swap needed
  Compare -58 and -56
  No swap needed
  Compare -56 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -63, -58, -56, -42, -33, -29, 9, 10, 97]
</think>

<response>-70, -63, -58, -56, -42, -33, -29, 9, 10, 97</response>


input: Arrange the numbers -25, -28, 72, 93, 41, 97, 62, 96, 17 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-25, -28, 72, 93, 41, 97, 62, 96, 17]

Pass 1:
  Compare -25 and -28
  Swap -25 and -28
  List after swap: [-28, -25, 72, 93, 41, 97, 62, 96, 17]
  Compare -25 and 72
  No swap needed
  Compare 72 and 93
  No swap needed
  Compare 93 and 41
  Swap 93 and 41
  List after swap: [-28, -25, 72, 41, 93, 97, 62, 96, 17]
  Compare 93 and 97
  No swap needed
  Compare 97 and 62
  Swap 97 and 62
  List after swap: [-28, -25, 72, 41, 93, 62, 97, 96, 17]
  Compare 97 and 96
  Swap 97 and 96
  List after swap: [-28, -25, 72, 41, 93, 62, 96, 97, 17]
  Compare 97 and 17
  Swap 97 and 17
  List after swap: [-28, -25, 72, 41, 93, 62, 96, 17, 97]

Pass 2:
  Compare -28 and -25
  No swap needed
  Compare -25 and 72
  No swap needed
  Compare 72 and 41
  Swap 72 and 41
  List after swap: [-28, -25, 41, 72, 93, 62, 96, 17, 97]
  Compare 72 and 93
  No swap needed
  Compare 93 and 62
  Swap 93 and 62
  List after swap: [-28, -25, 41, 72, 62, 93, 96, 17, 97]
  Compare 93 and 96
  No swap needed
  Compare 96 and 17
  Swap 96 and 17
  List after swap: [-28, -25, 41, 72, 62, 93, 17, 96, 97]

Pass 3:
  Compare -28 and -25
  No swap needed
  Compare -25 and 41
  No swap needed
  Compare 41 and 72
  No swap needed
  Compare 72 and 62
  Swap 72 and 62
  List after swap: [-28, -25, 41, 62, 72, 93, 17, 96, 97]
  Compare 72 and 93
  No swap needed
  Compare 93 and 17
  Swap 93 and 17
  List after swap: [-28, -25, 41, 62, 72, 17, 93, 96, 97]

Pass 4:
  Compare -28 and -25
  No swap needed
  Compare -25 and 41
  No swap needed
  Compare 41 and 62
  No swap needed
  Compare 62 and 72
  No swap needed
  Compare 72 and 17
  Swap 72 and 17
  List after swap: [-28, -25, 41, 62, 17, 72, 93, 96, 97]

Pass 5:
  Compare -28 and -25
  No swap needed
  Compare -25 and 41
  No swap needed
  Compare 41 and 62
  No swap needed
  Compare 62 and 17
  Swap 62 and 17
  List after swap: [-28, -25, 41, 17, 62, 72, 93, 96, 97]

Pass 6:
  Compare -28 and -25
  No swap needed
  Compare -25 and 41
  No swap needed
  Compare 41 and 17
  Swap 41 and 17
  List after swap: [-28, -25, 17, 41, 62, 72, 93, 96, 97]

Pass 7:
  Compare -28 and -25
  No swap needed
  Compare -25 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, -25, 17, 41, 62, 72, 93, 96, 97]
</think>

<response>-28, -25, 17, 41, 62, 72, 93, 96, 97</response>


input: Execute bubble sort to sort 36, -29, -7, 69, 52, 24, -4, -75, 67 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [36, -29, -7, 69, 52, 24, -4, -75, 67]

Pass 1:
  Compare 36 and -29
  Swap 36 and -29
  List after swap: [-29, 36, -7, 69, 52, 24, -4, -75, 67]
  Compare 36 and -7
  Swap 36 and -7
  List after swap: [-29, -7, 36, 69, 52, 24, -4, -75, 67]
  Compare 36 and 69
  No swap needed
  Compare 69 and 52
  Swap 69 and 52
  List after swap: [-29, -7, 36, 52, 69, 24, -4, -75, 67]
  Compare 69 and 24
  Swap 69 and 24
  List after swap: [-29, -7, 36, 52, 24, 69, -4, -75, 67]
  Compare 69 and -4
  Swap 69 and -4
  List after swap: [-29, -7, 36, 52, 24, -4, 69, -75, 67]
  Compare 69 and -75
  Swap 69 and -75
  List after swap: [-29, -7, 36, 52, 24, -4, -75, 69, 67]
  Compare 69 and 67
  Swap 69 and 67
  List after swap: [-29, -7, 36, 52, 24, -4, -75, 67, 69]

Pass 2:
  Compare -29 and -7
  No swap needed
  Compare -7 and 36
  No swap needed
  Compare 36 and 52
  No swap needed
  Compare 52 and 24
  Swap 52 and 24
  List after swap: [-29, -7, 36, 24, 52, -4, -75, 67, 69]
  Compare 52 and -4
  Swap 52 and -4
  List after swap: [-29, -7, 36, 24, -4, 52, -75, 67, 69]
  Compare 52 and -75
  Swap 52 and -75
  List after swap: [-29, -7, 36, 24, -4, -75, 52, 67, 69]
  Compare 52 and 67
  No swap needed

Pass 3:
  Compare -29 and -7
  No swap needed
  Compare -7 and 36
  No swap needed
  Compare 36 and 24
  Swap 36 and 24
  List after swap: [-29, -7, 24, 36, -4, -75, 52, 67, 69]
  Compare 36 and -4
  Swap 36 and -4
  List after swap: [-29, -7, 24, -4, 36, -75, 52, 67, 69]
  Compare 36 and -75
  Swap 36 and -75
  List after swap: [-29, -7, 24, -4, -75, 36, 52, 67, 69]
  Compare 36 and 52
  No swap needed

Pass 4:
  Compare -29 and -7
  No swap needed
  Compare -7 and 24
  No swap needed
  Compare 24 and -4
  Swap 24 and -4
  List after swap: [-29, -7, -4, 24, -75, 36, 52, 67, 69]
  Compare 24 and -75
  Swap 24 and -75
  List after swap: [-29, -7, -4, -75, 24, 36, 52, 67, 69]
  Compare 24 and 36
  No swap needed

Pass 5:
  Compare -29 and -7
  No swap needed
  Compare -7 and -4
  No swap needed
  Compare -4 and -75
  Swap -4 and -75
  List after swap: [-29, -7, -75, -4, 24, 36, 52, 67, 69]
  Compare -4 and 24
  No swap needed

Pass 6:
  Compare -29 and -7
  No swap needed
  Compare -7 and -75
  Swap -7 and -75
  List after swap: [-29, -75, -7, -4, 24, 36, 52, 67, 69]
  Compare -7 and -4
  No swap needed

Pass 7:
  Compare -29 and -75
  Swap -29 and -75
  List after swap: [-75, -29, -7, -4, 24, 36, 52, 67, 69]
  Compare -29 and -7
  No swap needed

Pass 8:
  Compare -75 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -29, -7, -4, 24, 36, 52, 67, 69]
</think>

<response>-75, -29, -7, -4, 24, 36, 52, 67, 69</response>


input: Sort the list 56, -90, 81, -13, -57 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [56, -90, 81, -13, -57]

Pass 1:
  Compare 56 and -90
  Swap 56 and -90
  List after swap: [-90, 56, 81, -13, -57]
  Compare 56 and 81
  No swap needed
  Compare 81 and -13
  Swap 81 and -13
  List after swap: [-90, 56, -13, 81, -57]
  Compare 81 and -57
  Swap 81 and -57
  List after swap: [-90, 56, -13, -57, 81]

Pass 2:
  Compare -90 and 56
  No swap needed
  Compare 56 and -13
  Swap 56 and -13
  List after swap: [-90, -13, 56, -57, 81]
  Compare 56 and -57
  Swap 56 and -57
  List after swap: [-90, -13, -57, 56, 81]

Pass 3:
  Compare -90 and -13
  No swap needed
  Compare -13 and -57
  Swap -13 and -57
  List after swap: [-90, -57, -13, 56, 81]

Pass 4:
  Compare -90 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -57, -13, 56, 81]
</think>

<response>-90, -57, -13, 56, 81</response>


input: Sort the list 83, -84, -16, -74, -98, -27 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [83, -84, -16, -74, -98, -27]

Pass 1:
  Compare 83 and -84
  Swap 83 and -84
  List after swap: [-84, 83, -16, -74, -98, -27]
  Compare 83 and -16
  Swap 83 and -16
  List after swap: [-84, -16, 83, -74, -98, -27]
  Compare 83 and -74
  Swap 83 and -74
  List after swap: [-84, -16, -74, 83, -98, -27]
  Compare 83 and -98
  Swap 83 and -98
  List after swap: [-84, -16, -74, -98, 83, -27]
  Compare 83 and -27
  Swap 83 and -27
  List after swap: [-84, -16, -74, -98, -27, 83]

Pass 2:
  Compare -84 and -16
  No swap needed
  Compare -16 and -74
  Swap -16 and -74
  List after swap: [-84, -74, -16, -98, -27, 83]
  Compare -16 and -98
  Swap -16 and -98
  List after swap: [-84, -74, -98, -16, -27, 83]
  Compare -16 and -27
  Swap -16 and -27
  List after swap: [-84, -74, -98, -27, -16, 83]

Pass 3:
  Compare -84 and -74
  No swap needed
  Compare -74 and -98
  Swap -74 and -98
  List after swap: [-84, -98, -74, -27, -16, 83]
  Compare -74 and -27
  No swap needed

Pass 4:
  Compare -84 and -98
  Swap -84 and -98
  List after swap: [-98, -84, -74, -27, -16, 83]
  Compare -84 and -74
  No swap needed

Pass 5:
  Compare -98 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -84, -74, -27, -16, 83]
</think>

<response>-98, -84, -74, -27, -16, 83</response>


input: Implement bubble sort on 95, -74, -63, 57, -31, -39, -87, 75 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [95, -74, -63, 57, -31, -39, -87, 75]

Pass 1:
  Compare 95 and -74
  Swap 95 and -74
  List after swap: [-74, 95, -63, 57, -31, -39, -87, 75]
  Compare 95 and -63
  Swap 95 and -63
  List after swap: [-74, -63, 95, 57, -31, -39, -87, 75]
  Compare 95 and 57
  Swap 95 and 57
  List after swap: [-74, -63, 57, 95, -31, -39, -87, 75]
  Compare 95 and -31
  Swap 95 and -31
  List after swap: [-74, -63, 57, -31, 95, -39, -87, 75]
  Compare 95 and -39
  Swap 95 and -39
  List after swap: [-74, -63, 57, -31, -39, 95, -87, 75]
  Compare 95 and -87
  Swap 95 and -87
  List after swap: [-74, -63, 57, -31, -39, -87, 95, 75]
  Compare 95 and 75
  Swap 95 and 75
  List after swap: [-74, -63, 57, -31, -39, -87, 75, 95]

Pass 2:
  Compare -74 and -63
  No swap needed
  Compare -63 and 57
  No swap needed
  Compare 57 and -31
  Swap 57 and -31
  List after swap: [-74, -63, -31, 57, -39, -87, 75, 95]
  Compare 57 and -39
  Swap 57 and -39
  List after swap: [-74, -63, -31, -39, 57, -87, 75, 95]
  Compare 57 and -87
  Swap 57 and -87
  List after swap: [-74, -63, -31, -39, -87, 57, 75, 95]
  Compare 57 and 75
  No swap needed

Pass 3:
  Compare -74 and -63
  No swap needed
  Compare -63 and -31
  No swap needed
  Compare -31 and -39
  Swap -31 and -39
  List after swap: [-74, -63, -39, -31, -87, 57, 75, 95]
  Compare -31 and -87
  Swap -31 and -87
  List after swap: [-74, -63, -39, -87, -31, 57, 75, 95]
  Compare -31 and 57
  No swap needed

Pass 4:
  Compare -74 and -63
  No swap needed
  Compare -63 and -39
  No swap needed
  Compare -39 and -87
  Swap -39 and -87
  List after swap: [-74, -63, -87, -39, -31, 57, 75, 95]
  Compare -39 and -31
  No swap needed

Pass 5:
  Compare -74 and -63
  No swap needed
  Compare -63 and -87
  Swap -63 and -87
  List after swap: [-74, -87, -63, -39, -31, 57, 75, 95]
  Compare -63 and -39
  No swap needed

Pass 6:
  Compare -74 and -87
  Swap -74 and -87
  List after swap: [-87, -74, -63, -39, -31, 57, 75, 95]
  Compare -74 and -63
  No swap needed

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

Final sorted list: [-87, -74, -63, -39, -31, 57, 75, 95]
</think>

<response>-87, -74, -63, -39, -31, 57, 75, 95</response>


input: Implement bubble sort on 43, 57, 26, 92, 52, -89, 81, -51 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [43, 57, 26, 92, 52, -89, 81, -51]

Pass 1:
  Compare 43 and 57
  No swap needed
  Compare 57 and 26
  Swap 57 and 26
  List after swap: [43, 26, 57, 92, 52, -89, 81, -51]
  Compare 57 and 92
  No swap needed
  Compare 92 and 52
  Swap 92 and 52
  List after swap: [43, 26, 57, 52, 92, -89, 81, -51]
  Compare 92 and -89
  Swap 92 and -89
  List after swap: [43, 26, 57, 52, -89, 92, 81, -51]
  Compare 92 and 81
  Swap 92 and 81
  List after swap: [43, 26, 57, 52, -89, 81, 92, -51]
  Compare 92 and -51
  Swap 92 and -51
  List after swap: [43, 26, 57, 52, -89, 81, -51, 92]

Pass 2:
  Compare 43 and 26
  Swap 43 and 26
  List after swap: [26, 43, 57, 52, -89, 81, -51, 92]
  Compare 43 and 57
  No swap needed
  Compare 57 and 52
  Swap 57 and 52
  List after swap: [26, 43, 52, 57, -89, 81, -51, 92]
  Compare 57 and -89
  Swap 57 and -89
  List after swap: [26, 43, 52, -89, 57, 81, -51, 92]
  Compare 57 and 81
  No swap needed
  Compare 81 and -51
  Swap 81 and -51
  List after swap: [26, 43, 52, -89, 57, -51, 81, 92]

Pass 3:
  Compare 26 and 43
  No swap needed
  Compare 43 and 52
  No swap needed
  Compare 52 and -89
  Swap 52 and -89
  List after swap: [26, 43, -89, 52, 57, -51, 81, 92]
  Compare 52 and 57
  No swap needed
  Compare 57 and -51
  Swap 57 and -51
  List after swap: [26, 43, -89, 52, -51, 57, 81, 92]

Pass 4:
  Compare 26 and 43
  No swap needed
  Compare 43 and -89
  Swap 43 and -89
  List after swap: [26, -89, 43, 52, -51, 57, 81, 92]
  Compare 43 and 52
  No swap needed
  Compare 52 and -51
  Swap 52 and -51
  List after swap: [26, -89, 43, -51, 52, 57, 81, 92]

Pass 5:
  Compare 26 and -89
  Swap 26 and -89
  List after swap: [-89, 26, 43, -51, 52, 57, 81, 92]
  Compare 26 and 43
  No swap needed
  Compare 43 and -51
  Swap 43 and -51
  List after swap: [-89, 26, -51, 43, 52, 57, 81, 92]

Pass 6:
  Compare -89 and 26
  No swap needed
  Compare 26 and -51
  Swap 26 and -51
  List after swap: [-89, -51, 26, 43, 52, 57, 81, 92]

Pass 7:
  Compare -89 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -51, 26, 43, 52, 57, 81, 92]
</think>

<response>-89, -51, 26, 43, 52, 57, 81, 92</response>


input: Sort these integers -7, 22, 33, 41 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-7, 22, 33, 41]

Pass 1:
  Compare -7 and 22
  No swap needed
  Compare 22 and 33
  No swap needed
  Compare 33 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-7, 22, 33, 41]
</think>

<response>-7, 22, 33, 41</response>


input: Use the bubble sort technique to reorder 66, 25, 57, -10, -28, -7 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [66, 25, 57, -10, -28, -7]

Pass 1:
  Compare 66 and 25
  Swap 66 and 25
  List after swap: [25, 66, 57, -10, -28, -7]
  Compare 66 and 57
  Swap 66 and 57
  List after swap: [25, 57, 66, -10, -28, -7]
  Compare 66 and -10
  Swap 66 and -10
  List after swap: [25, 57, -10, 66, -28, -7]
  Compare 66 and -28
  Swap 66 and -28
  List after swap: [25, 57, -10, -28, 66, -7]
  Compare 66 and -7
  Swap 66 and -7
  List after swap: [25, 57, -10, -28, -7, 66]

Pass 2:
  Compare 25 and 57
  No swap needed
  Compare 57 and -10
  Swap 57 and -10
  List after swap: [25, -10, 57, -28, -7, 66]
  Compare 57 and -28
  Swap 57 and -28
  List after swap: [25, -10, -28, 57, -7, 66]
  Compare 57 and -7
  Swap 57 and -7
  List after swap: [25, -10, -28, -7, 57, 66]

Pass 3:
  Compare 25 and -10
  Swap 25 and -10
  List after swap: [-10, 25, -28, -7, 57, 66]
  Compare 25 and -28
  Swap 25 and -28
  List after swap: [-10, -28, 25, -7, 57, 66]
  Compare 25 and -7
  Swap 25 and -7
  List after swap: [-10, -28, -7, 25, 57, 66]

Pass 4:
  Compare -10 and -28
  Swap -10 and -28
  List after swap: [-28, -10, -7, 25, 57, 66]
  Compare -10 and -7
  No swap needed

Pass 5:
  Compare -28 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, -10, -7, 25, 57, 66]
</think>

<response>-28, -10, -7, 25, 57, 66</response>


input: Demonstrate how bubble sort orders the integers 66, 7, -74 in ascending sequence, showing all steps.

output:
<think>
Initial list: [66, 7, -74]

Pass 1:
  Compare 66 and 7
  Swap 66 and 7
  List after swap: [7, 66, -74]
  Compare 66 and -74
  Swap 66 and -74
  List after swap: [7, -74, 66]

Pass 2:
  Compare 7 and -74
  Swap 7 and -74
  List after swap: [-74, 7, 66]

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

Final sorted list: [-74, 7, 66]
</think>

<response>-74, 7, 66</response>


input: Sort these integers -54, 33, -84 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-54, 33, -84]

Pass 1:
  Compare -54 and 33
  No swap needed
  Compare 33 and -84
  Swap 33 and -84
  List after swap: [-54, -84, 33]

Pass 2:
  Compare -54 and -84
  Swap -54 and -84
  List after swap: [-84, -54, 33]

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

Final sorted list: [-84, -54, 33]
</think>

<response>-84, -54, 33</response>


input: Implement bubble sort on -96, -33 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-96, -33]

Pass 1:
  Compare -96 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -33]
</think>

<response>-96, -33</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -90, 60, -54, -45, 8, 20, -88, 6.

output:
<think>
Initial list: [-90, 60, -54, -45, 8, 20, -88, 6]

Pass 1:
  Compare -90 and 60
  No swap needed
  Compare 60 and -54
  Swap 60 and -54
  List after swap: [-90, -54, 60, -45, 8, 20, -88, 6]
  Compare 60 and -45
  Swap 60 and -45
  List after swap: [-90, -54, -45, 60, 8, 20, -88, 6]
  Compare 60 and 8
  Swap 60 and 8
  List after swap: [-90, -54, -45, 8, 60, 20, -88, 6]
  Compare 60 and 20
  Swap 60 and 20
  List after swap: [-90, -54, -45, 8, 20, 60, -88, 6]
  Compare 60 and -88
  Swap 60 and -88
  List after swap: [-90, -54, -45, 8, 20, -88, 60, 6]
  Compare 60 and 6
  Swap 60 and 6
  List after swap: [-90, -54, -45, 8, 20, -88, 6, 60]

Pass 2:
  Compare -90 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  Compare -45 and 8
  No swap needed
  Compare 8 and 20
  No swap needed
  Compare 20 and -88
  Swap 20 and -88
  List after swap: [-90, -54, -45, 8, -88, 20, 6, 60]
  Compare 20 and 6
  Swap 20 and 6
  List after swap: [-90, -54, -45, 8, -88, 6, 20, 60]

Pass 3:
  Compare -90 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  Compare -45 and 8
  No swap needed
  Compare 8 and -88
  Swap 8 and -88
  List after swap: [-90, -54, -45, -88, 8, 6, 20, 60]
  Compare 8 and 6
  Swap 8 and 6
  List after swap: [-90, -54, -45, -88, 6, 8, 20, 60]

Pass 4:
  Compare -90 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  Compare -45 and -88
  Swap -45 and -88
  List after swap: [-90, -54, -88, -45, 6, 8, 20, 60]
  Compare -45 and 6
  No swap needed

Pass 5:
  Compare -90 and -54
  No swap needed
  Compare -54 and -88
  Swap -54 and -88
  List after swap: [-90, -88, -54, -45, 6, 8, 20, 60]
  Compare -54 and -45
  No swap needed

Pass 6:
  Compare -90 and -88
  No swap needed
  Compare -88 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -88, -54, -45, 6, 8, 20, 60]
</think>

<response>-90, -88, -54, -45, 6, 8, 20, 60</response>


input: Demonstrate how bubble sort orders the integers 60, 66, 51, -14, -92, 17, -82, -47, 36, -74 in ascending sequence, showing all steps.

output:
<think>
Initial list: [60, 66, 51, -14, -92, 17, -82, -47, 36, -74]

Pass 1:
  Compare 60 and 66
  No swap needed
  Compare 66 and 51
  Swap 66 and 51
  List after swap: [60, 51, 66, -14, -92, 17, -82, -47, 36, -74]
  Compare 66 and -14
  Swap 66 and -14
  List after swap: [60, 51, -14, 66, -92, 17, -82, -47, 36, -74]
  Compare 66 and -92
  Swap 66 and -92
  List after swap: [60, 51, -14, -92, 66, 17, -82, -47, 36, -74]
  Compare 66 and 17
  Swap 66 and 17
  List after swap: [60, 51, -14, -92, 17, 66, -82, -47, 36, -74]
  Compare 66 and -82
  Swap 66 and -82
  List after swap: [60, 51, -14, -92, 17, -82, 66, -47, 36, -74]
  Compare 66 and -47
  Swap 66 and -47
  List after swap: [60, 51, -14, -92, 17, -82, -47, 66, 36, -74]
  Compare 66 and 36
  Swap 66 and 36
  List after swap: [60, 51, -14, -92, 17, -82, -47, 36, 66, -74]
  Compare 66 and -74
  Swap 66 and -74
  List after swap: [60, 51, -14, -92, 17, -82, -47, 36, -74, 66]

Pass 2:
  Compare 60 and 51
  Swap 60 and 51
  List after swap: [51, 60, -14, -92, 17, -82, -47, 36, -74, 66]
  Compare 60 and -14
  Swap 60 and -14
  List after swap: [51, -14, 60, -92, 17, -82, -47, 36, -74, 66]
  Compare 60 and -92
  Swap 60 and -92
  List after swap: [51, -14, -92, 60, 17, -82, -47, 36, -74, 66]
  Compare 60 and 17
  Swap 60 and 17
  List after swap: [51, -14, -92, 17, 60, -82, -47, 36, -74, 66]
  Compare 60 and -82
  Swap 60 and -82
  List after swap: [51, -14, -92, 17, -82, 60, -47, 36, -74, 66]
  Compare 60 and -47
  Swap 60 and -47
  List after swap: [51, -14, -92, 17, -82, -47, 60, 36, -74, 66]
  Compare 60 and 36
  Swap 60 and 36
  List after swap: [51, -14, -92, 17, -82, -47, 36, 60, -74, 66]
  Compare 60 and -74
  Swap 60 and -74
  List after swap: [51, -14, -92, 17, -82, -47, 36, -74, 60, 66]

Pass 3:
  Compare 51 and -14
  Swap 51 and -14
  List after swap: [-14, 51, -92, 17, -82, -47, 36, -74, 60, 66]
  Compare 51 and -92
  Swap 51 and -92
  List after swap: [-14, -92, 51, 17, -82, -47, 36, -74, 60, 66]
  Compare 51 and 17
  Swap 51 and 17
  List after swap: [-14, -92, 17, 51, -82, -47, 36, -74, 60, 66]
  Compare 51 and -82
  Swap 51 and -82
  List after swap: [-14, -92, 17, -82, 51, -47, 36, -74, 60, 66]
  Compare 51 and -47
  Swap 51 and -47
  List after swap: [-14, -92, 17, -82, -47, 51, 36, -74, 60, 66]
  Compare 51 and 36
  Swap 51 and 36
  List after swap: [-14, -92, 17, -82, -47, 36, 51, -74, 60, 66]
  Compare 51 and -74
  Swap 51 and -74
  List after swap: [-14, -92, 17, -82, -47, 36, -74, 51, 60, 66]

Pass 4:
  Compare -14 and -92
  Swap -14 and -92
  List after swap: [-92, -14, 17, -82, -47, 36, -74, 51, 60, 66]
  Compare -14 and 17
  No swap needed
  Compare 17 and -82
  Swap 17 and -82
  List after swap: [-92, -14, -82, 17, -47, 36, -74, 51, 60, 66]
  Compare 17 and -47
  Swap 17 and -47
  List after swap: [-92, -14, -82, -47, 17, 36, -74, 51, 60, 66]
  Compare 17 and 36
  No swap needed
  Compare 36 and -74
  Swap 36 and -74
  List after swap: [-92, -14, -82, -47, 17, -74, 36, 51, 60, 66]

Pass 5:
  Compare -92 and -14
  No swap needed
  Compare -14 and -82
  Swap -14 and -82
  List after swap: [-92, -82, -14, -47, 17, -74, 36, 51, 60, 66]
  Compare -14 and -47
  Swap -14 and -47
  List after swap: [-92, -82, -47, -14, 17, -74, 36, 51, 60, 66]
  Compare -14 and 17
  No swap needed
  Compare 17 and -74
  Swap 17 and -74
  List after swap: [-92, -82, -47, -14, -74, 17, 36, 51, 60, 66]

Pass 6:
  Compare -92 and -82
  No swap needed
  Compare -82 and -47
  No swap needed
  Compare -47 and -14
  No swap needed
  Compare -14 and -74
  Swap -14 and -74
  List after swap: [-92, -82, -47, -74, -14, 17, 36, 51, 60, 66]

Pass 7:
  Compare -92 and -82
  No swap needed
  Compare -82 and -47
  No swap needed
  Compare -47 and -74
  Swap -47 and -74
  List after swap: [-92, -82, -74, -47, -14, 17, 36, 51, 60, 66]

Pass 8:
  Compare -92 and -82
  No swap needed
  Compare -82 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -82, -74, -47, -14, 17, 36, 51, 60, 66]
</think>

<response>-92, -82, -74, -47, -14, 17, 36, 51, 60, 66</response>


input: Perform a bubble sort on the integers 73, 97, 29, -33, 63, 7, 15, 45, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [73, 97, 29, -33, 63, 7, 15, 45]

Pass 1:
  Compare 73 and 97
  No swap needed
  Compare 97 and 29
  Swap 97 and 29
  List after swap: [73, 29, 97, -33, 63, 7, 15, 45]
  Compare 97 and -33
  Swap 97 and -33
  List after swap: [73, 29, -33, 97, 63, 7, 15, 45]
  Compare 97 and 63
  Swap 97 and 63
  List after swap: [73, 29, -33, 63, 97, 7, 15, 45]
  Compare 97 and 7
  Swap 97 and 7
  List after swap: [73, 29, -33, 63, 7, 97, 15, 45]
  Compare 97 and 15
  Swap 97 and 15
  List after swap: [73, 29, -33, 63, 7, 15, 97, 45]
  Compare 97 and 45
  Swap 97 and 45
  List after swap: [73, 29, -33, 63, 7, 15, 45, 97]

Pass 2:
  Compare 73 and 29
  Swap 73 and 29
  List after swap: [29, 73, -33, 63, 7, 15, 45, 97]
  Compare 73 and -33
  Swap 73 and -33
  List after swap: [29, -33, 73, 63, 7, 15, 45, 97]
  Compare 73 and 63
  Swap 73 and 63
  List after swap: [29, -33, 63, 73, 7, 15, 45, 97]
  Compare 73 and 7
  Swap 73 and 7
  List after swap: [29, -33, 63, 7, 73, 15, 45, 97]
  Compare 73 and 15
  Swap 73 and 15
  List after swap: [29, -33, 63, 7, 15, 73, 45, 97]
  Compare 73 and 45
  Swap 73 and 45
  List after swap: [29, -33, 63, 7, 15, 45, 73, 97]

Pass 3:
  Compare 29 and -33
  Swap 29 and -33
  List after swap: [-33, 29, 63, 7, 15, 45, 73, 97]
  Compare 29 and 63
  No swap needed
  Compare 63 and 7
  Swap 63 and 7
  List after swap: [-33, 29, 7, 63, 15, 45, 73, 97]
  Compare 63 and 15
  Swap 63 and 15
  List after swap: [-33, 29, 7, 15, 63, 45, 73, 97]
  Compare 63 and 45
  Swap 63 and 45
  List after swap: [-33, 29, 7, 15, 45, 63, 73, 97]

Pass 4:
  Compare -33 and 29
  No swap needed
  Compare 29 and 7
  Swap 29 and 7
  List after swap: [-33, 7, 29, 15, 45, 63, 73, 97]
  Compare 29 and 15
  Swap 29 and 15
  List after swap: [-33, 7, 15, 29, 45, 63, 73, 97]
  Compare 29 and 45
  No swap needed

Pass 5:
  Compare -33 and 7
  No swap needed
  Compare 7 and 15
  No swap needed
  Compare 15 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, 7, 15, 29, 45, 63, 73, 97]
</think>

<response>-33, 7, 15, 29, 45, 63, 73, 97</response>


input: Using the bubble sort method, sort -79, 49, -19, 66, 69 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-79, 49, -19, 66, 69]

Pass 1:
  Compare -79 and 49
  No swap needed
  Compare 49 and -19
  Swap 49 and -19
  List after swap: [-79, -19, 49, 66, 69]
  Compare 49 and 66
  No swap needed
  Compare 66 and 69
  No swap needed

Pass 2:
  Compare -79 and -19
  No swap needed
  Compare -19 and 49
  No swap needed
  Compare 49 and 66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -19, 49, 66, 69]
</think>

<response>-79, -19, 49, 66, 69</response>


input: Sort the list 51, -26, 67, -9 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [51, -26, 67, -9]

Pass 1:
  Compare 51 and -26
  Swap 51 and -26
  List after swap: [-26, 51, 67, -9]
  Compare 51 and 67
  No swap needed
  Compare 67 and -9
  Swap 67 and -9
  List after swap: [-26, 51, -9, 67]

Pass 2:
  Compare -26 and 51
  No swap needed
  Compare 51 and -9
  Swap 51 and -9
  List after swap: [-26, -9, 51, 67]

Pass 3:
  Compare -26 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, -9, 51, 67]
</think>

<response>-26, -9, 51, 67</response>


input: Using the bubble sort method, sort 44, 89, 87, -13, -21, -51, -95, 65, 19 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [44, 89, 87, -13, -21, -51, -95, 65, 19]

Pass 1:
  Compare 44 and 89
  No swap needed
  Compare 89 and 87
  Swap 89 and 87
  List after swap: [44, 87, 89, -13, -21, -51, -95, 65, 19]
  Compare 89 and -13
  Swap 89 and -13
  List after swap: [44, 87, -13, 89, -21, -51, -95, 65, 19]
  Compare 89 and -21
  Swap 89 and -21
  List after swap: [44, 87, -13, -21, 89, -51, -95, 65, 19]
  Compare 89 and -51
  Swap 89 and -51
  List after swap: [44, 87, -13, -21, -51, 89, -95, 65, 19]
  Compare 89 and -95
  Swap 89 and -95
  List after swap: [44, 87, -13, -21, -51, -95, 89, 65, 19]
  Compare 89 and 65
  Swap 89 and 65
  List after swap: [44, 87, -13, -21, -51, -95, 65, 89, 19]
  Compare 89 and 19
  Swap 89 and 19
  List after swap: [44, 87, -13, -21, -51, -95, 65, 19, 89]

Pass 2:
  Compare 44 and 87
  No swap needed
  Compare 87 and -13
  Swap 87 and -13
  List after swap: [44, -13, 87, -21, -51, -95, 65, 19, 89]
  Compare 87 and -21
  Swap 87 and -21
  List after swap: [44, -13, -21, 87, -51, -95, 65, 19, 89]
  Compare 87 and -51
  Swap 87 and -51
  List after swap: [44, -13, -21, -51, 87, -95, 65, 19, 89]
  Compare 87 and -95
  Swap 87 and -95
  List after swap: [44, -13, -21, -51, -95, 87, 65, 19, 89]
  Compare 87 and 65
  Swap 87 and 65
  List after swap: [44, -13, -21, -51, -95, 65, 87, 19, 89]
  Compare 87 and 19
  Swap 87 and 19
  List after swap: [44, -13, -21, -51, -95, 65, 19, 87, 89]

Pass 3:
  Compare 44 and -13
  Swap 44 and -13
  List after swap: [-13, 44, -21, -51, -95, 65, 19, 87, 89]
  Compare 44 and -21
  Swap 44 and -21
  List after swap: [-13, -21, 44, -51, -95, 65, 19, 87, 89]
  Compare 44 and -51
  Swap 44 and -51
  List after swap: [-13, -21, -51, 44, -95, 65, 19, 87, 89]
  Compare 44 and -95
  Swap 44 and -95
  List after swap: [-13, -21, -51, -95, 44, 65, 19, 87, 89]
  Compare 44 and 65
  No swap needed
  Compare 65 and 19
  Swap 65 and 19
  List after swap: [-13, -21, -51, -95, 44, 19, 65, 87, 89]

Pass 4:
  Compare -13 and -21
  Swap -13 and -21
  List after swap: [-21, -13, -51, -95, 44, 19, 65, 87, 89]
  Compare -13 and -51
  Swap -13 and -51
  List after swap: [-21, -51, -13, -95, 44, 19, 65, 87, 89]
  Compare -13 and -95
  Swap -13 and -95
  List after swap: [-21, -51, -95, -13, 44, 19, 65, 87, 89]
  Compare -13 and 44
  No swap needed
  Compare 44 and 19
  Swap 44 and 19
  List after swap: [-21, -51, -95, -13, 19, 44, 65, 87, 89]

Pass 5:
  Compare -21 and -51
  Swap -21 and -51
  List after swap: [-51, -21, -95, -13, 19, 44, 65, 87, 89]
  Compare -21 and -95
  Swap -21 and -95
  List after swap: [-51, -95, -21, -13, 19, 44, 65, 87, 89]
  Compare -21 and -13
  No swap needed
  Compare -13 and 19
  No swap needed

Pass 6:
  Compare -51 and -95
  Swap -51 and -95
  List after swap: [-95, -51, -21, -13, 19, 44, 65, 87, 89]
  Compare -51 and -21
  No swap needed
  Compare -21 and -13
  No swap needed

Pass 7:
  Compare -95 and -51
  No swap needed
  Compare -51 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -51, -21, -13, 19, 44, 65, 87, 89]
</think>

<response>-95, -51, -21, -13, 19, 44, 65, 87, 89</response>


input: Use the bubble sort technique to reorder 23, -61, 61, 6, 87, -39, -55 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [23, -61, 61, 6, 87, -39, -55]

Pass 1:
  Compare 23 and -61
  Swap 23 and -61
  List after swap: [-61, 23, 61, 6, 87, -39, -55]
  Compare 23 and 61
  No swap needed
  Compare 61 and 6
  Swap 61 and 6
  List after swap: [-61, 23, 6, 61, 87, -39, -55]
  Compare 61 and 87
  No swap needed
  Compare 87 and -39
  Swap 87 and -39
  List after swap: [-61, 23, 6, 61, -39, 87, -55]
  Compare 87 and -55
  Swap 87 and -55
  List after swap: [-61, 23, 6, 61, -39, -55, 87]

Pass 2:
  Compare -61 and 23
  No swap needed
  Compare 23 and 6
  Swap 23 and 6
  List after swap: [-61, 6, 23, 61, -39, -55, 87]
  Compare 23 and 61
  No swap needed
  Compare 61 and -39
  Swap 61 and -39
  List after swap: [-61, 6, 23, -39, 61, -55, 87]
  Compare 61 and -55
  Swap 61 and -55
  List after swap: [-61, 6, 23, -39, -55, 61, 87]

Pass 3:
  Compare -61 and 6
  No swap needed
  Compare 6 and 23
  No swap needed
  Compare 23 and -39
  Swap 23 and -39
  List after swap: [-61, 6, -39, 23, -55, 61, 87]
  Compare 23 and -55
  Swap 23 and -55
  List after swap: [-61, 6, -39, -55, 23, 61, 87]

Pass 4:
  Compare -61 and 6
  No swap needed
  Compare 6 and -39
  Swap 6 and -39
  List after swap: [-61, -39, 6, -55, 23, 61, 87]
  Compare 6 and -55
  Swap 6 and -55
  List after swap: [-61, -39, -55, 6, 23, 61, 87]

Pass 5:
  Compare -61 and -39
  No swap needed
  Compare -39 and -55
  Swap -39 and -55
  List after swap: [-61, -55, -39, 6, 23, 61, 87]

Pass 6:
  Compare -61 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -55, -39, 6, 23, 61, 87]
</think>

<response>-61, -55, -39, 6, 23, 61, 87</response>


input: Demonstrate how bubble sort orders the integers -55, 39, -92, -37 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-55, 39, -92, -37]

Pass 1:
  Compare -55 and 39
  No swap needed
  Compare 39 and -92
  Swap 39 and -92
  List after swap: [-55, -92, 39, -37]
  Compare 39 and -37
  Swap 39 and -37
  List after swap: [-55, -92, -37, 39]

Pass 2:
  Compare -55 and -92
  Swap -55 and -92
  List after swap: [-92, -55, -37, 39]
  Compare -55 and -37
  No swap needed

Pass 3:
  Compare -92 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -55, -37, 39]
</think>

<response>-92, -55, -37, 39</response>


input: Arrange the numbers -40, 62, 24, 14, 97, 30, -4 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-40, 62, 24, 14, 97, 30, -4]

Pass 1:
  Compare -40 and 62
  No swap needed
  Compare 62 and 24
  Swap 62 and 24
  List after swap: [-40, 24, 62, 14, 97, 30, -4]
  Compare 62 and 14
  Swap 62 and 14
  List after swap: [-40, 24, 14, 62, 97, 30, -4]
  Compare 62 and 97
  No swap needed
  Compare 97 and 30
  Swap 97 and 30
  List after swap: [-40, 24, 14, 62, 30, 97, -4]
  Compare 97 and -4
  Swap 97 and -4
  List after swap: [-40, 24, 14, 62, 30, -4, 97]

Pass 2:
  Compare -40 and 24
  No swap needed
  Compare 24 and 14
  Swap 24 and 14
  List after swap: [-40, 14, 24, 62, 30, -4, 97]
  Compare 24 and 62
  No swap needed
  Compare 62 and 30
  Swap 62 and 30
  List after swap: [-40, 14, 24, 30, 62, -4, 97]
  Compare 62 and -4
  Swap 62 and -4
  List after swap: [-40, 14, 24, 30, -4, 62, 97]

Pass 3:
  Compare -40 and 14
  No swap needed
  Compare 14 and 24
  No swap needed
  Compare 24 and 30
  No swap needed
  Compare 30 and -4
  Swap 30 and -4
  List after swap: [-40, 14, 24, -4, 30, 62, 97]

Pass 4:
  Compare -40 and 14
  No swap needed
  Compare 14 and 24
  No swap needed
  Compare 24 and -4
  Swap 24 and -4
  List after swap: [-40, 14, -4, 24, 30, 62, 97]

Pass 5:
  Compare -40 and 14
  No swap needed
  Compare 14 and -4
  Swap 14 and -4
  List after swap: [-40, -4, 14, 24, 30, 62, 97]

Pass 6:
  Compare -40 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -4, 14, 24, 30, 62, 97]
</think>

<response>-40, -4, 14, 24, 30, 62, 97</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 74, 99, 61, -6, -3, -70, 45.

output:
<think>
Initial list: [74, 99, 61, -6, -3, -70, 45]

Pass 1:
  Compare 74 and 99
  No swap needed
  Compare 99 and 61
  Swap 99 and 61
  List after swap: [74, 61, 99, -6, -3, -70, 45]
  Compare 99 and -6
  Swap 99 and -6
  List after swap: [74, 61, -6, 99, -3, -70, 45]
  Compare 99 and -3
  Swap 99 and -3
  List after swap: [74, 61, -6, -3, 99, -70, 45]
  Compare 99 and -70
  Swap 99 and -70
  List after swap: [74, 61, -6, -3, -70, 99, 45]
  Compare 99 and 45
  Swap 99 and 45
  List after swap: [74, 61, -6, -3, -70, 45, 99]

Pass 2:
  Compare 74 and 61
  Swap 74 and 61
  List after swap: [61, 74, -6, -3, -70, 45, 99]
  Compare 74 and -6
  Swap 74 and -6
  List after swap: [61, -6, 74, -3, -70, 45, 99]
  Compare 74 and -3
  Swap 74 and -3
  List after swap: [61, -6, -3, 74, -70, 45, 99]
  Compare 74 and -70
  Swap 74 and -70
  List after swap: [61, -6, -3, -70, 74, 45, 99]
  Compare 74 and 45
  Swap 74 and 45
  List after swap: [61, -6, -3, -70, 45, 74, 99]

Pass 3:
  Compare 61 and -6
  Swap 61 and -6
  List after swap: [-6, 61, -3, -70, 45, 74, 99]
  Compare 61 and -3
  Swap 61 and -3
  List after swap: [-6, -3, 61, -70, 45, 74, 99]
  Compare 61 and -70
  Swap 61 and -70
  List after swap: [-6, -3, -70, 61, 45, 74, 99]
  Compare 61 and 45
  Swap 61 and 45
  List after swap: [-6, -3, -70, 45, 61, 74, 99]

Pass 4:
  Compare -6 and -3
  No swap needed
  Compare -3 and -70
  Swap -3 and -70
  List after swap: [-6, -70, -3, 45, 61, 74, 99]
  Compare -3 and 45
  No swap needed

Pass 5:
  Compare -6 and -70
  Swap -6 and -70
  List after swap: [-70, -6, -3, 45, 61, 74, 99]
  Compare -6 and -3
  No swap needed

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

Final sorted list: [-70, -6, -3, 45, 61, 74, 99]
</think>

<response>-70, -6, -3, 45, 61, 74, 99</response>


input: Use the bubble sort technique to reorder 17, 40, -98 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [17, 40, -98]

Pass 1:
  Compare 17 and 40
  No swap needed
  Compare 40 and -98
  Swap 40 and -98
  List after swap: [17, -98, 40]

Pass 2:
  Compare 17 and -98
  Swap 17 and -98
  List after swap: [-98, 17, 40]

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

Final sorted list: [-98, 17, 40]
</think>

<response>-98, 17, 40</response>


input: Use the bubble sort technique to reorder -51, -52, -23, -41, 46 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-51, -52, -23, -41, 46]

Pass 1:
  Compare -51 and -52
  Swap -51 and -52
  List after swap: [-52, -51, -23, -41, 46]
  Compare -51 and -23
  No swap needed
  Compare -23 and -41
  Swap -23 and -41
  List after swap: [-52, -51, -41, -23, 46]
  Compare -23 and 46
  No swap needed

Pass 2:
  Compare -52 and -51
  No swap needed
  Compare -51 and -41
  No swap needed
  Compare -41 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -51, -41, -23, 46]
</think>

<response>-52, -51, -41, -23, 46</response>


input: Implement bubble sort on 37, -10, -51, 55, -48, 52, -38, 1, 32 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [37, -10, -51, 55, -48, 52, -38, 1, 32]

Pass 1:
  Compare 37 and -10
  Swap 37 and -10
  List after swap: [-10, 37, -51, 55, -48, 52, -38, 1, 32]
  Compare 37 and -51
  Swap 37 and -51
  List after swap: [-10, -51, 37, 55, -48, 52, -38, 1, 32]
  Compare 37 and 55
  No swap needed
  Compare 55 and -48
  Swap 55 and -48
  List after swap: [-10, -51, 37, -48, 55, 52, -38, 1, 32]
  Compare 55 and 52
  Swap 55 and 52
  List after swap: [-10, -51, 37, -48, 52, 55, -38, 1, 32]
  Compare 55 and -38
  Swap 55 and -38
  List after swap: [-10, -51, 37, -48, 52, -38, 55, 1, 32]
  Compare 55 and 1
  Swap 55 and 1
  List after swap: [-10, -51, 37, -48, 52, -38, 1, 55, 32]
  Compare 55 and 32
  Swap 55 and 32
  List after swap: [-10, -51, 37, -48, 52, -38, 1, 32, 55]

Pass 2:
  Compare -10 and -51
  Swap -10 and -51
  List after swap: [-51, -10, 37, -48, 52, -38, 1, 32, 55]
  Compare -10 and 37
  No swap needed
  Compare 37 and -48
  Swap 37 and -48
  List after swap: [-51, -10, -48, 37, 52, -38, 1, 32, 55]
  Compare 37 and 52
  No swap needed
  Compare 52 and -38
  Swap 52 and -38
  List after swap: [-51, -10, -48, 37, -38, 52, 1, 32, 55]
  Compare 52 and 1
  Swap 52 and 1
  List after swap: [-51, -10, -48, 37, -38, 1, 52, 32, 55]
  Compare 52 and 32
  Swap 52 and 32
  List after swap: [-51, -10, -48, 37, -38, 1, 32, 52, 55]

Pass 3:
  Compare -51 and -10
  No swap needed
  Compare -10 and -48
  Swap -10 and -48
  List after swap: [-51, -48, -10, 37, -38, 1, 32, 52, 55]
  Compare -10 and 37
  No swap needed
  Compare 37 and -38
  Swap 37 and -38
  List after swap: [-51, -48, -10, -38, 37, 1, 32, 52, 55]
  Compare 37 and 1
  Swap 37 and 1
  List after swap: [-51, -48, -10, -38, 1, 37, 32, 52, 55]
  Compare 37 and 32
  Swap 37 and 32
  List after swap: [-51, -48, -10, -38, 1, 32, 37, 52, 55]

Pass 4:
  Compare -51 and -48
  No swap needed
  Compare -48 and -10
  No swap needed
  Compare -10 and -38
  Swap -10 and -38
  List after swap: [-51, -48, -38, -10, 1, 32, 37, 52, 55]
  Compare -10 and 1
  No swap needed
  Compare 1 and 32
  No swap needed

Pass 5:
  Compare -51 and -48
  No swap needed
  Compare -48 and -38
  No swap needed
  Compare -38 and -10
  No swap needed
  Compare -10 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -48, -38, -10, 1, 32, 37, 52, 55]
</think>

<response>-51, -48, -38, -10, 1, 32, 37, 52, 55</response>


input: Arrange the numbers 48, 46, -67 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [48, 46, -67]

Pass 1:
  Compare 48 and 46
  Swap 48 and 46
  List after swap: [46, 48, -67]
  Compare 48 and -67
  Swap 48 and -67
  List after swap: [46, -67, 48]

Pass 2:
  Compare 46 and -67
  Swap 46 and -67
  List after swap: [-67, 46, 48]

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

Final sorted list: [-67, 46, 48]
</think>

<response>-67, 46, 48</response>


input: Sort these integers -90, 94, -29, -20 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-90, 94, -29, -20]

Pass 1:
  Compare -90 and 94
  No swap needed
  Compare 94 and -29
  Swap 94 and -29
  List after swap: [-90, -29, 94, -20]
  Compare 94 and -20
  Swap 94 and -20
  List after swap: [-90, -29, -20, 94]

Pass 2:
  Compare -90 and -29
  No swap needed
  Compare -29 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -29, -20, 94]
</think>

<response>-90, -29, -20, 94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 1, 30, -33, 11, -20, -26, 64, -3.

output:
<think>
Initial list: [1, 30, -33, 11, -20, -26, 64, -3]

Pass 1:
  Compare 1 and 30
  No swap needed
  Compare 30 and -33
  Swap 30 and -33
  List after swap: [1, -33, 30, 11, -20, -26, 64, -3]
  Compare 30 and 11
  Swap 30 and 11
  List after swap: [1, -33, 11, 30, -20, -26, 64, -3]
  Compare 30 and -20
  Swap 30 and -20
  List after swap: [1, -33, 11, -20, 30, -26, 64, -3]
  Compare 30 and -26
  Swap 30 and -26
  List after swap: [1, -33, 11, -20, -26, 30, 64, -3]
  Compare 30 and 64
  No swap needed
  Compare 64 and -3
  Swap 64 and -3
  List after swap: [1, -33, 11, -20, -26, 30, -3, 64]

Pass 2:
  Compare 1 and -33
  Swap 1 and -33
  List after swap: [-33, 1, 11, -20, -26, 30, -3, 64]
  Compare 1 and 11
  No swap needed
  Compare 11 and -20
  Swap 11 and -20
  List after swap: [-33, 1, -20, 11, -26, 30, -3, 64]
  Compare 11 and -26
  Swap 11 and -26
  List after swap: [-33, 1, -20, -26, 11, 30, -3, 64]
  Compare 11 and 30
  No swap needed
  Compare 30 and -3
  Swap 30 and -3
  List after swap: [-33, 1, -20, -26, 11, -3, 30, 64]

Pass 3:
  Compare -33 and 1
  No swap needed
  Compare 1 and -20
  Swap 1 and -20
  List after swap: [-33, -20, 1, -26, 11, -3, 30, 64]
  Compare 1 and -26
  Swap 1 and -26
  List after swap: [-33, -20, -26, 1, 11, -3, 30, 64]
  Compare 1 and 11
  No swap needed
  Compare 11 and -3
  Swap 11 and -3
  List after swap: [-33, -20, -26, 1, -3, 11, 30, 64]

Pass 4:
  Compare -33 and -20
  No swap needed
  Compare -20 and -26
  Swap -20 and -26
  List after swap: [-33, -26, -20, 1, -3, 11, 30, 64]
  Compare -20 and 1
  No swap needed
  Compare 1 and -3
  Swap 1 and -3
  List after swap: [-33, -26, -20, -3, 1, 11, 30, 64]

Pass 5:
  Compare -33 and -26
  No swap needed
  Compare -26 and -20
  No swap needed
  Compare -20 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, -26, -20, -3, 1, 11, 30, 64]
</think>

<response>-33, -26, -20, -3, 1, 11, 30, 64</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -42, 58, 70, 15, -5, 3, 39, 88.

output:
<think>
Initial list: [-42, 58, 70, 15, -5, 3, 39, 88]

Pass 1:
  Compare -42 and 58
  No swap needed
  Compare 58 and 70
  No swap needed
  Compare 70 and 15
  Swap 70 and 15
  List after swap: [-42, 58, 15, 70, -5, 3, 39, 88]
  Compare 70 and -5
  Swap 70 and -5
  List after swap: [-42, 58, 15, -5, 70, 3, 39, 88]
  Compare 70 and 3
  Swap 70 and 3
  List after swap: [-42, 58, 15, -5, 3, 70, 39, 88]
  Compare 70 and 39
  Swap 70 and 39
  List after swap: [-42, 58, 15, -5, 3, 39, 70, 88]
  Compare 70 and 88
  No swap needed

Pass 2:
  Compare -42 and 58
  No swap needed
  Compare 58 and 15
  Swap 58 and 15
  List after swap: [-42, 15, 58, -5, 3, 39, 70, 88]
  Compare 58 and -5
  Swap 58 and -5
  List after swap: [-42, 15, -5, 58, 3, 39, 70, 88]
  Compare 58 and 3
  Swap 58 and 3
  List after swap: [-42, 15, -5, 3, 58, 39, 70, 88]
  Compare 58 and 39
  Swap 58 and 39
  List after swap: [-42, 15, -5, 3, 39, 58, 70, 88]
  Compare 58 and 70
  No swap needed

Pass 3:
  Compare -42 and 15
  No swap needed
  Compare 15 and -5
  Swap 15 and -5
  List after swap: [-42, -5, 15, 3, 39, 58, 70, 88]
  Compare 15 and 3
  Swap 15 and 3
  List after swap: [-42, -5, 3, 15, 39, 58, 70, 88]
  Compare 15 and 39
  No swap needed
  Compare 39 and 58
  No swap needed

Pass 4:
  Compare -42 and -5
  No swap needed
  Compare -5 and 3
  No swap needed
  Compare 3 and 15
  No swap needed
  Compare 15 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -5, 3, 15, 39, 58, 70, 88]
</think>

<response>-42, -5, 3, 15, 39, 58, 70, 88</response>


input: Arrange the numbers -16, 15 in ascending order by applying bubble sort, and display each intermediate step.

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

Pass 1:
  Compare -16 and 15
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-16, 15</response>


input: Use the bubble sort technique to reorder -11, 86, -83, 49, -29, -54, 36 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-11, 86, -83, 49, -29, -54, 36]

Pass 1:
  Compare -11 and 86
  No swap needed
  Compare 86 and -83
  Swap 86 and -83
  List after swap: [-11, -83, 86, 49, -29, -54, 36]
  Compare 86 and 49
  Swap 86 and 49
  List after swap: [-11, -83, 49, 86, -29, -54, 36]
  Compare 86 and -29
  Swap 86 and -29
  List after swap: [-11, -83, 49, -29, 86, -54, 36]
  Compare 86 and -54
  Swap 86 and -54
  List after swap: [-11, -83, 49, -29, -54, 86, 36]
  Compare 86 and 36
  Swap 86 and 36
  List after swap: [-11, -83, 49, -29, -54, 36, 86]

Pass 2:
  Compare -11 and -83
  Swap -11 and -83
  List after swap: [-83, -11, 49, -29, -54, 36, 86]
  Compare -11 and 49
  No swap needed
  Compare 49 and -29
  Swap 49 and -29
  List after swap: [-83, -11, -29, 49, -54, 36, 86]
  Compare 49 and -54
  Swap 49 and -54
  List after swap: [-83, -11, -29, -54, 49, 36, 86]
  Compare 49 and 36
  Swap 49 and 36
  List after swap: [-83, -11, -29, -54, 36, 49, 86]

Pass 3:
  Compare -83 and -11
  No swap needed
  Compare -11 and -29
  Swap -11 and -29
  List after swap: [-83, -29, -11, -54, 36, 49, 86]
  Compare -11 and -54
  Swap -11 and -54
  List after swap: [-83, -29, -54, -11, 36, 49, 86]
  Compare -11 and 36
  No swap needed

Pass 4:
  Compare -83 and -29
  No swap needed
  Compare -29 and -54
  Swap -29 and -54
  List after swap: [-83, -54, -29, -11, 36, 49, 86]
  Compare -29 and -11
  No swap needed

Pass 5:
  Compare -83 and -54
  No swap needed
  Compare -54 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -54, -29, -11, 36, 49, 86]
</think>

<response>-83, -54, -29, -11, 36, 49, 86</response>


input: Carry out the bubble sort algorithm on 39, 69, 31, -48, 16, 95, 64 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [39, 69, 31, -48, 16, 95, 64]

Pass 1:
  Compare 39 and 69
  No swap needed
  Compare 69 and 31
  Swap 69 and 31
  List after swap: [39, 31, 69, -48, 16, 95, 64]
  Compare 69 and -48
  Swap 69 and -48
  List after swap: [39, 31, -48, 69, 16, 95, 64]
  Compare 69 and 16
  Swap 69 and 16
  List after swap: [39, 31, -48, 16, 69, 95, 64]
  Compare 69 and 95
  No swap needed
  Compare 95 and 64
  Swap 95 and 64
  List after swap: [39, 31, -48, 16, 69, 64, 95]

Pass 2:
  Compare 39 and 31
  Swap 39 and 31
  List after swap: [31, 39, -48, 16, 69, 64, 95]
  Compare 39 and -48
  Swap 39 and -48
  List after swap: [31, -48, 39, 16, 69, 64, 95]
  Compare 39 and 16
  Swap 39 and 16
  List after swap: [31, -48, 16, 39, 69, 64, 95]
  Compare 39 and 69
  No swap needed
  Compare 69 and 64
  Swap 69 and 64
  List after swap: [31, -48, 16, 39, 64, 69, 95]

Pass 3:
  Compare 31 and -48
  Swap 31 and -48
  List after swap: [-48, 31, 16, 39, 64, 69, 95]
  Compare 31 and 16
  Swap 31 and 16
  List after swap: [-48, 16, 31, 39, 64, 69, 95]
  Compare 31 and 39
  No swap needed
  Compare 39 and 64
  No swap needed

Pass 4:
  Compare -48 and 16
  No swap needed
  Compare 16 and 31
  No swap needed
  Compare 31 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, 16, 31, 39, 64, 69, 95]
</think>

<response>-48, 16, 31, 39, 64, 69, 95</response>