input: Execute bubble sort to sort -46, 63 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-46, 63]

Pass 1:
  Compare -46 and 63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, 63]
</think>

<response>-46, 63</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -75, -94, 61, 2, -77, -92, 29, 74, -30, 46.

output:
<think>
Initial list: [-75, -94, 61, 2, -77, -92, 29, 74, -30, 46]

Pass 1:
  Compare -75 and -94
  Swap -75 and -94
  List after swap: [-94, -75, 61, 2, -77, -92, 29, 74, -30, 46]
  Compare -75 and 61
  No swap needed
  Compare 61 and 2
  Swap 61 and 2
  List after swap: [-94, -75, 2, 61, -77, -92, 29, 74, -30, 46]
  Compare 61 and -77
  Swap 61 and -77
  List after swap: [-94, -75, 2, -77, 61, -92, 29, 74, -30, 46]
  Compare 61 and -92
  Swap 61 and -92
  List after swap: [-94, -75, 2, -77, -92, 61, 29, 74, -30, 46]
  Compare 61 and 29
  Swap 61 and 29
  List after swap: [-94, -75, 2, -77, -92, 29, 61, 74, -30, 46]
  Compare 61 and 74
  No swap needed
  Compare 74 and -30
  Swap 74 and -30
  List after swap: [-94, -75, 2, -77, -92, 29, 61, -30, 74, 46]
  Compare 74 and 46
  Swap 74 and 46
  List after swap: [-94, -75, 2, -77, -92, 29, 61, -30, 46, 74]

Pass 2:
  Compare -94 and -75
  No swap needed
  Compare -75 and 2
  No swap needed
  Compare 2 and -77
  Swap 2 and -77
  List after swap: [-94, -75, -77, 2, -92, 29, 61, -30, 46, 74]
  Compare 2 and -92
  Swap 2 and -92
  List after swap: [-94, -75, -77, -92, 2, 29, 61, -30, 46, 74]
  Compare 2 and 29
  No swap needed
  Compare 29 and 61
  No swap needed
  Compare 61 and -30
  Swap 61 and -30
  List after swap: [-94, -75, -77, -92, 2, 29, -30, 61, 46, 74]
  Compare 61 and 46
  Swap 61 and 46
  List after swap: [-94, -75, -77, -92, 2, 29, -30, 46, 61, 74]

Pass 3:
  Compare -94 and -75
  No swap needed
  Compare -75 and -77
  Swap -75 and -77
  List after swap: [-94, -77, -75, -92, 2, 29, -30, 46, 61, 74]
  Compare -75 and -92
  Swap -75 and -92
  List after swap: [-94, -77, -92, -75, 2, 29, -30, 46, 61, 74]
  Compare -75 and 2
  No swap needed
  Compare 2 and 29
  No swap needed
  Compare 29 and -30
  Swap 29 and -30
  List after swap: [-94, -77, -92, -75, 2, -30, 29, 46, 61, 74]
  Compare 29 and 46
  No swap needed

Pass 4:
  Compare -94 and -77
  No swap needed
  Compare -77 and -92
  Swap -77 and -92
  List after swap: [-94, -92, -77, -75, 2, -30, 29, 46, 61, 74]
  Compare -77 and -75
  No swap needed
  Compare -75 and 2
  No swap needed
  Compare 2 and -30
  Swap 2 and -30
  List after swap: [-94, -92, -77, -75, -30, 2, 29, 46, 61, 74]
  Compare 2 and 29
  No swap needed

Pass 5:
  Compare -94 and -92
  No swap needed
  Compare -92 and -77
  No swap needed
  Compare -77 and -75
  No swap needed
  Compare -75 and -30
  No swap needed
  Compare -30 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -92, -77, -75, -30, 2, 29, 46, 61, 74]
</think>

<response>-94, -92, -77, -75, -30, 2, 29, 46, 61, 74</response>


input: Sort the list -62, 16, 94, -2, 43, -95 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-62, 16, 94, -2, 43, -95]

Pass 1:
  Compare -62 and 16
  No swap needed
  Compare 16 and 94
  No swap needed
  Compare 94 and -2
  Swap 94 and -2
  List after swap: [-62, 16, -2, 94, 43, -95]
  Compare 94 and 43
  Swap 94 and 43
  List after swap: [-62, 16, -2, 43, 94, -95]
  Compare 94 and -95
  Swap 94 and -95
  List after swap: [-62, 16, -2, 43, -95, 94]

Pass 2:
  Compare -62 and 16
  No swap needed
  Compare 16 and -2
  Swap 16 and -2
  List after swap: [-62, -2, 16, 43, -95, 94]
  Compare 16 and 43
  No swap needed
  Compare 43 and -95
  Swap 43 and -95
  List after swap: [-62, -2, 16, -95, 43, 94]

Pass 3:
  Compare -62 and -2
  No swap needed
  Compare -2 and 16
  No swap needed
  Compare 16 and -95
  Swap 16 and -95
  List after swap: [-62, -2, -95, 16, 43, 94]

Pass 4:
  Compare -62 and -2
  No swap needed
  Compare -2 and -95
  Swap -2 and -95
  List after swap: [-62, -95, -2, 16, 43, 94]

Pass 5:
  Compare -62 and -95
  Swap -62 and -95
  List after swap: [-95, -62, -2, 16, 43, 94]

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

Final sorted list: [-95, -62, -2, 16, 43, 94]
</think>

<response>-95, -62, -2, 16, 43, 94</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 45, -70, 51.

output:
<think>
Initial list: [45, -70, 51]

Pass 1:
  Compare 45 and -70
  Swap 45 and -70
  List after swap: [-70, 45, 51]
  Compare 45 and 51
  No swap needed

Pass 2:
  Compare -70 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, 45, 51]
</think>

<response>-70, 45, 51</response>


input: Implement bubble sort on 74, 31, -63, 30, 6, 93, -44, 20 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [74, 31, -63, 30, 6, 93, -44, 20]

Pass 1:
  Compare 74 and 31
  Swap 74 and 31
  List after swap: [31, 74, -63, 30, 6, 93, -44, 20]
  Compare 74 and -63
  Swap 74 and -63
  List after swap: [31, -63, 74, 30, 6, 93, -44, 20]
  Compare 74 and 30
  Swap 74 and 30
  List after swap: [31, -63, 30, 74, 6, 93, -44, 20]
  Compare 74 and 6
  Swap 74 and 6
  List after swap: [31, -63, 30, 6, 74, 93, -44, 20]
  Compare 74 and 93
  No swap needed
  Compare 93 and -44
  Swap 93 and -44
  List after swap: [31, -63, 30, 6, 74, -44, 93, 20]
  Compare 93 and 20
  Swap 93 and 20
  List after swap: [31, -63, 30, 6, 74, -44, 20, 93]

Pass 2:
  Compare 31 and -63
  Swap 31 and -63
  List after swap: [-63, 31, 30, 6, 74, -44, 20, 93]
  Compare 31 and 30
  Swap 31 and 30
  List after swap: [-63, 30, 31, 6, 74, -44, 20, 93]
  Compare 31 and 6
  Swap 31 and 6
  List after swap: [-63, 30, 6, 31, 74, -44, 20, 93]
  Compare 31 and 74
  No swap needed
  Compare 74 and -44
  Swap 74 and -44
  List after swap: [-63, 30, 6, 31, -44, 74, 20, 93]
  Compare 74 and 20
  Swap 74 and 20
  List after swap: [-63, 30, 6, 31, -44, 20, 74, 93]

Pass 3:
  Compare -63 and 30
  No swap needed
  Compare 30 and 6
  Swap 30 and 6
  List after swap: [-63, 6, 30, 31, -44, 20, 74, 93]
  Compare 30 and 31
  No swap needed
  Compare 31 and -44
  Swap 31 and -44
  List after swap: [-63, 6, 30, -44, 31, 20, 74, 93]
  Compare 31 and 20
  Swap 31 and 20
  List after swap: [-63, 6, 30, -44, 20, 31, 74, 93]

Pass 4:
  Compare -63 and 6
  No swap needed
  Compare 6 and 30
  No swap needed
  Compare 30 and -44
  Swap 30 and -44
  List after swap: [-63, 6, -44, 30, 20, 31, 74, 93]
  Compare 30 and 20
  Swap 30 and 20
  List after swap: [-63, 6, -44, 20, 30, 31, 74, 93]

Pass 5:
  Compare -63 and 6
  No swap needed
  Compare 6 and -44
  Swap 6 and -44
  List after swap: [-63, -44, 6, 20, 30, 31, 74, 93]
  Compare 6 and 20
  No swap needed

Pass 6:
  Compare -63 and -44
  No swap needed
  Compare -44 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -44, 6, 20, 30, 31, 74, 93]
</think>

<response>-63, -44, 6, 20, 30, 31, 74, 93</response>


input: Demonstrate how bubble sort orders the integers 31, 64, 87, -64, -76, 21, -58 in ascending sequence, showing all steps.

output:
<think>
Initial list: [31, 64, 87, -64, -76, 21, -58]

Pass 1:
  Compare 31 and 64
  No swap needed
  Compare 64 and 87
  No swap needed
  Compare 87 and -64
  Swap 87 and -64
  List after swap: [31, 64, -64, 87, -76, 21, -58]
  Compare 87 and -76
  Swap 87 and -76
  List after swap: [31, 64, -64, -76, 87, 21, -58]
  Compare 87 and 21
  Swap 87 and 21
  List after swap: [31, 64, -64, -76, 21, 87, -58]
  Compare 87 and -58
  Swap 87 and -58
  List after swap: [31, 64, -64, -76, 21, -58, 87]

Pass 2:
  Compare 31 and 64
  No swap needed
  Compare 64 and -64
  Swap 64 and -64
  List after swap: [31, -64, 64, -76, 21, -58, 87]
  Compare 64 and -76
  Swap 64 and -76
  List after swap: [31, -64, -76, 64, 21, -58, 87]
  Compare 64 and 21
  Swap 64 and 21
  List after swap: [31, -64, -76, 21, 64, -58, 87]
  Compare 64 and -58
  Swap 64 and -58
  List after swap: [31, -64, -76, 21, -58, 64, 87]

Pass 3:
  Compare 31 and -64
  Swap 31 and -64
  List after swap: [-64, 31, -76, 21, -58, 64, 87]
  Compare 31 and -76
  Swap 31 and -76
  List after swap: [-64, -76, 31, 21, -58, 64, 87]
  Compare 31 and 21
  Swap 31 and 21
  List after swap: [-64, -76, 21, 31, -58, 64, 87]
  Compare 31 and -58
  Swap 31 and -58
  List after swap: [-64, -76, 21, -58, 31, 64, 87]

Pass 4:
  Compare -64 and -76
  Swap -64 and -76
  List after swap: [-76, -64, 21, -58, 31, 64, 87]
  Compare -64 and 21
  No swap needed
  Compare 21 and -58
  Swap 21 and -58
  List after swap: [-76, -64, -58, 21, 31, 64, 87]

Pass 5:
  Compare -76 and -64
  No swap needed
  Compare -64 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -64, -58, 21, 31, 64, 87]
</think>

<response>-76, -64, -58, 21, 31, 64, 87</response>


input: Arrange the numbers 12, -67, 34, -35, 4, -71, -48, 68, 95, -8 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [12, -67, 34, -35, 4, -71, -48, 68, 95, -8]

Pass 1:
  Compare 12 and -67
  Swap 12 and -67
  List after swap: [-67, 12, 34, -35, 4, -71, -48, 68, 95, -8]
  Compare 12 and 34
  No swap needed
  Compare 34 and -35
  Swap 34 and -35
  List after swap: [-67, 12, -35, 34, 4, -71, -48, 68, 95, -8]
  Compare 34 and 4
  Swap 34 and 4
  List after swap: [-67, 12, -35, 4, 34, -71, -48, 68, 95, -8]
  Compare 34 and -71
  Swap 34 and -71
  List after swap: [-67, 12, -35, 4, -71, 34, -48, 68, 95, -8]
  Compare 34 and -48
  Swap 34 and -48
  List after swap: [-67, 12, -35, 4, -71, -48, 34, 68, 95, -8]
  Compare 34 and 68
  No swap needed
  Compare 68 and 95
  No swap needed
  Compare 95 and -8
  Swap 95 and -8
  List after swap: [-67, 12, -35, 4, -71, -48, 34, 68, -8, 95]

Pass 2:
  Compare -67 and 12
  No swap needed
  Compare 12 and -35
  Swap 12 and -35
  List after swap: [-67, -35, 12, 4, -71, -48, 34, 68, -8, 95]
  Compare 12 and 4
  Swap 12 and 4
  List after swap: [-67, -35, 4, 12, -71, -48, 34, 68, -8, 95]
  Compare 12 and -71
  Swap 12 and -71
  List after swap: [-67, -35, 4, -71, 12, -48, 34, 68, -8, 95]
  Compare 12 and -48
  Swap 12 and -48
  List after swap: [-67, -35, 4, -71, -48, 12, 34, 68, -8, 95]
  Compare 12 and 34
  No swap needed
  Compare 34 and 68
  No swap needed
  Compare 68 and -8
  Swap 68 and -8
  List after swap: [-67, -35, 4, -71, -48, 12, 34, -8, 68, 95]

Pass 3:
  Compare -67 and -35
  No swap needed
  Compare -35 and 4
  No swap needed
  Compare 4 and -71
  Swap 4 and -71
  List after swap: [-67, -35, -71, 4, -48, 12, 34, -8, 68, 95]
  Compare 4 and -48
  Swap 4 and -48
  List after swap: [-67, -35, -71, -48, 4, 12, 34, -8, 68, 95]
  Compare 4 and 12
  No swap needed
  Compare 12 and 34
  No swap needed
  Compare 34 and -8
  Swap 34 and -8
  List after swap: [-67, -35, -71, -48, 4, 12, -8, 34, 68, 95]

Pass 4:
  Compare -67 and -35
  No swap needed
  Compare -35 and -71
  Swap -35 and -71
  List after swap: [-67, -71, -35, -48, 4, 12, -8, 34, 68, 95]
  Compare -35 and -48
  Swap -35 and -48
  List after swap: [-67, -71, -48, -35, 4, 12, -8, 34, 68, 95]
  Compare -35 and 4
  No swap needed
  Compare 4 and 12
  No swap needed
  Compare 12 and -8
  Swap 12 and -8
  List after swap: [-67, -71, -48, -35, 4, -8, 12, 34, 68, 95]

Pass 5:
  Compare -67 and -71
  Swap -67 and -71
  List after swap: [-71, -67, -48, -35, 4, -8, 12, 34, 68, 95]
  Compare -67 and -48
  No swap needed
  Compare -48 and -35
  No swap needed
  Compare -35 and 4
  No swap needed
  Compare 4 and -8
  Swap 4 and -8
  List after swap: [-71, -67, -48, -35, -8, 4, 12, 34, 68, 95]

Pass 6:
  Compare -71 and -67
  No swap needed
  Compare -67 and -48
  No swap needed
  Compare -48 and -35
  No swap needed
  Compare -35 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -67, -48, -35, -8, 4, 12, 34, 68, 95]
</think>

<response>-71, -67, -48, -35, -8, 4, 12, 34, 68, 95</response>


input: Use the bubble sort technique to reorder 88, 9, 87, 83, -90, 35, -89, -74, -65 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [88, 9, 87, 83, -90, 35, -89, -74, -65]

Pass 1:
  Compare 88 and 9
  Swap 88 and 9
  List after swap: [9, 88, 87, 83, -90, 35, -89, -74, -65]
  Compare 88 and 87
  Swap 88 and 87
  List after swap: [9, 87, 88, 83, -90, 35, -89, -74, -65]
  Compare 88 and 83
  Swap 88 and 83
  List after swap: [9, 87, 83, 88, -90, 35, -89, -74, -65]
  Compare 88 and -90
  Swap 88 and -90
  List after swap: [9, 87, 83, -90, 88, 35, -89, -74, -65]
  Compare 88 and 35
  Swap 88 and 35
  List after swap: [9, 87, 83, -90, 35, 88, -89, -74, -65]
  Compare 88 and -89
  Swap 88 and -89
  List after swap: [9, 87, 83, -90, 35, -89, 88, -74, -65]
  Compare 88 and -74
  Swap 88 and -74
  List after swap: [9, 87, 83, -90, 35, -89, -74, 88, -65]
  Compare 88 and -65
  Swap 88 and -65
  List after swap: [9, 87, 83, -90, 35, -89, -74, -65, 88]

Pass 2:
  Compare 9 and 87
  No swap needed
  Compare 87 and 83
  Swap 87 and 83
  List after swap: [9, 83, 87, -90, 35, -89, -74, -65, 88]
  Compare 87 and -90
  Swap 87 and -90
  List after swap: [9, 83, -90, 87, 35, -89, -74, -65, 88]
  Compare 87 and 35
  Swap 87 and 35
  List after swap: [9, 83, -90, 35, 87, -89, -74, -65, 88]
  Compare 87 and -89
  Swap 87 and -89
  List after swap: [9, 83, -90, 35, -89, 87, -74, -65, 88]
  Compare 87 and -74
  Swap 87 and -74
  List after swap: [9, 83, -90, 35, -89, -74, 87, -65, 88]
  Compare 87 and -65
  Swap 87 and -65
  List after swap: [9, 83, -90, 35, -89, -74, -65, 87, 88]

Pass 3:
  Compare 9 and 83
  No swap needed
  Compare 83 and -90
  Swap 83 and -90
  List after swap: [9, -90, 83, 35, -89, -74, -65, 87, 88]
  Compare 83 and 35
  Swap 83 and 35
  List after swap: [9, -90, 35, 83, -89, -74, -65, 87, 88]
  Compare 83 and -89
  Swap 83 and -89
  List after swap: [9, -90, 35, -89, 83, -74, -65, 87, 88]
  Compare 83 and -74
  Swap 83 and -74
  List after swap: [9, -90, 35, -89, -74, 83, -65, 87, 88]
  Compare 83 and -65
  Swap 83 and -65
  List after swap: [9, -90, 35, -89, -74, -65, 83, 87, 88]

Pass 4:
  Compare 9 and -90
  Swap 9 and -90
  List after swap: [-90, 9, 35, -89, -74, -65, 83, 87, 88]
  Compare 9 and 35
  No swap needed
  Compare 35 and -89
  Swap 35 and -89
  List after swap: [-90, 9, -89, 35, -74, -65, 83, 87, 88]
  Compare 35 and -74
  Swap 35 and -74
  List after swap: [-90, 9, -89, -74, 35, -65, 83, 87, 88]
  Compare 35 and -65
  Swap 35 and -65
  List after swap: [-90, 9, -89, -74, -65, 35, 83, 87, 88]

Pass 5:
  Compare -90 and 9
  No swap needed
  Compare 9 and -89
  Swap 9 and -89
  List after swap: [-90, -89, 9, -74, -65, 35, 83, 87, 88]
  Compare 9 and -74
  Swap 9 and -74
  List after swap: [-90, -89, -74, 9, -65, 35, 83, 87, 88]
  Compare 9 and -65
  Swap 9 and -65
  List after swap: [-90, -89, -74, -65, 9, 35, 83, 87, 88]

Pass 6:
  Compare -90 and -89
  No swap needed
  Compare -89 and -74
  No swap needed
  Compare -74 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -89, -74, -65, 9, 35, 83, 87, 88]
</think>

<response>-90, -89, -74, -65, 9, 35, 83, 87, 88</response>


input: Implement bubble sort on 19, -80, 66, -83, 86, -29, -89, 82 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [19, -80, 66, -83, 86, -29, -89, 82]

Pass 1:
  Compare 19 and -80
  Swap 19 and -80
  List after swap: [-80, 19, 66, -83, 86, -29, -89, 82]
  Compare 19 and 66
  No swap needed
  Compare 66 and -83
  Swap 66 and -83
  List after swap: [-80, 19, -83, 66, 86, -29, -89, 82]
  Compare 66 and 86
  No swap needed
  Compare 86 and -29
  Swap 86 and -29
  List after swap: [-80, 19, -83, 66, -29, 86, -89, 82]
  Compare 86 and -89
  Swap 86 and -89
  List after swap: [-80, 19, -83, 66, -29, -89, 86, 82]
  Compare 86 and 82
  Swap 86 and 82
  List after swap: [-80, 19, -83, 66, -29, -89, 82, 86]

Pass 2:
  Compare -80 and 19
  No swap needed
  Compare 19 and -83
  Swap 19 and -83
  List after swap: [-80, -83, 19, 66, -29, -89, 82, 86]
  Compare 19 and 66
  No swap needed
  Compare 66 and -29
  Swap 66 and -29
  List after swap: [-80, -83, 19, -29, 66, -89, 82, 86]
  Compare 66 and -89
  Swap 66 and -89
  List after swap: [-80, -83, 19, -29, -89, 66, 82, 86]
  Compare 66 and 82
  No swap needed

Pass 3:
  Compare -80 and -83
  Swap -80 and -83
  List after swap: [-83, -80, 19, -29, -89, 66, 82, 86]
  Compare -80 and 19
  No swap needed
  Compare 19 and -29
  Swap 19 and -29
  List after swap: [-83, -80, -29, 19, -89, 66, 82, 86]
  Compare 19 and -89
  Swap 19 and -89
  List after swap: [-83, -80, -29, -89, 19, 66, 82, 86]
  Compare 19 and 66
  No swap needed

Pass 4:
  Compare -83 and -80
  No swap needed
  Compare -80 and -29
  No swap needed
  Compare -29 and -89
  Swap -29 and -89
  List after swap: [-83, -80, -89, -29, 19, 66, 82, 86]
  Compare -29 and 19
  No swap needed

Pass 5:
  Compare -83 and -80
  No swap needed
  Compare -80 and -89
  Swap -80 and -89
  List after swap: [-83, -89, -80, -29, 19, 66, 82, 86]
  Compare -80 and -29
  No swap needed

Pass 6:
  Compare -83 and -89
  Swap -83 and -89
  List after swap: [-89, -83, -80, -29, 19, 66, 82, 86]
  Compare -83 and -80
  No swap needed

Pass 7:
  Compare -89 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -83, -80, -29, 19, 66, 82, 86]
</think>

<response>-89, -83, -80, -29, 19, 66, 82, 86</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -94, 21, -54.

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

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

Pass 2:
  Compare -94 and -54
  No swap needed
  No swaps in this pass, list is sorted.

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

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


input: Implement bubble sort on -86, 90, -16, 60, 69 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-86, 90, -16, 60, 69]

Pass 1:
  Compare -86 and 90
  No swap needed
  Compare 90 and -16
  Swap 90 and -16
  List after swap: [-86, -16, 90, 60, 69]
  Compare 90 and 60
  Swap 90 and 60
  List after swap: [-86, -16, 60, 90, 69]
  Compare 90 and 69
  Swap 90 and 69
  List after swap: [-86, -16, 60, 69, 90]

Pass 2:
  Compare -86 and -16
  No swap needed
  Compare -16 and 60
  No swap needed
  Compare 60 and 69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -16, 60, 69, 90]
</think>

<response>-86, -16, 60, 69, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -44, 41, 16, -88, 92, 7, -91.

output:
<think>
Initial list: [-44, 41, 16, -88, 92, 7, -91]

Pass 1:
  Compare -44 and 41
  No swap needed
  Compare 41 and 16
  Swap 41 and 16
  List after swap: [-44, 16, 41, -88, 92, 7, -91]
  Compare 41 and -88
  Swap 41 and -88
  List after swap: [-44, 16, -88, 41, 92, 7, -91]
  Compare 41 and 92
  No swap needed
  Compare 92 and 7
  Swap 92 and 7
  List after swap: [-44, 16, -88, 41, 7, 92, -91]
  Compare 92 and -91
  Swap 92 and -91
  List after swap: [-44, 16, -88, 41, 7, -91, 92]

Pass 2:
  Compare -44 and 16
  No swap needed
  Compare 16 and -88
  Swap 16 and -88
  List after swap: [-44, -88, 16, 41, 7, -91, 92]
  Compare 16 and 41
  No swap needed
  Compare 41 and 7
  Swap 41 and 7
  List after swap: [-44, -88, 16, 7, 41, -91, 92]
  Compare 41 and -91
  Swap 41 and -91
  List after swap: [-44, -88, 16, 7, -91, 41, 92]

Pass 3:
  Compare -44 and -88
  Swap -44 and -88
  List after swap: [-88, -44, 16, 7, -91, 41, 92]
  Compare -44 and 16
  No swap needed
  Compare 16 and 7
  Swap 16 and 7
  List after swap: [-88, -44, 7, 16, -91, 41, 92]
  Compare 16 and -91
  Swap 16 and -91
  List after swap: [-88, -44, 7, -91, 16, 41, 92]

Pass 4:
  Compare -88 and -44
  No swap needed
  Compare -44 and 7
  No swap needed
  Compare 7 and -91
  Swap 7 and -91
  List after swap: [-88, -44, -91, 7, 16, 41, 92]

Pass 5:
  Compare -88 and -44
  No swap needed
  Compare -44 and -91
  Swap -44 and -91
  List after swap: [-88, -91, -44, 7, 16, 41, 92]

Pass 6:
  Compare -88 and -91
  Swap -88 and -91
  List after swap: [-91, -88, -44, 7, 16, 41, 92]

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

Final sorted list: [-91, -88, -44, 7, 16, 41, 92]
</think>

<response>-91, -88, -44, 7, 16, 41, 92</response>


input: Demonstrate how bubble sort orders the integers 93, -83, -5, -95, 18 in ascending sequence, showing all steps.

output:
<think>
Initial list: [93, -83, -5, -95, 18]

Pass 1:
  Compare 93 and -83
  Swap 93 and -83
  List after swap: [-83, 93, -5, -95, 18]
  Compare 93 and -5
  Swap 93 and -5
  List after swap: [-83, -5, 93, -95, 18]
  Compare 93 and -95
  Swap 93 and -95
  List after swap: [-83, -5, -95, 93, 18]
  Compare 93 and 18
  Swap 93 and 18
  List after swap: [-83, -5, -95, 18, 93]

Pass 2:
  Compare -83 and -5
  No swap needed
  Compare -5 and -95
  Swap -5 and -95
  List after swap: [-83, -95, -5, 18, 93]
  Compare -5 and 18
  No swap needed

Pass 3:
  Compare -83 and -95
  Swap -83 and -95
  List after swap: [-95, -83, -5, 18, 93]
  Compare -83 and -5
  No swap needed

Pass 4:
  Compare -95 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -83, -5, 18, 93]
</think>

<response>-95, -83, -5, 18, 93</response>


input: Use the bubble sort technique to reorder -98, -99, -33, -97, 18, -77, 53, 16, -86, 86 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-98, -99, -33, -97, 18, -77, 53, 16, -86, 86]

Pass 1:
  Compare -98 and -99
  Swap -98 and -99
  List after swap: [-99, -98, -33, -97, 18, -77, 53, 16, -86, 86]
  Compare -98 and -33
  No swap needed
  Compare -33 and -97
  Swap -33 and -97
  List after swap: [-99, -98, -97, -33, 18, -77, 53, 16, -86, 86]
  Compare -33 and 18
  No swap needed
  Compare 18 and -77
  Swap 18 and -77
  List after swap: [-99, -98, -97, -33, -77, 18, 53, 16, -86, 86]
  Compare 18 and 53
  No swap needed
  Compare 53 and 16
  Swap 53 and 16
  List after swap: [-99, -98, -97, -33, -77, 18, 16, 53, -86, 86]
  Compare 53 and -86
  Swap 53 and -86
  List after swap: [-99, -98, -97, -33, -77, 18, 16, -86, 53, 86]
  Compare 53 and 86
  No swap needed

Pass 2:
  Compare -99 and -98
  No swap needed
  Compare -98 and -97
  No swap needed
  Compare -97 and -33
  No swap needed
  Compare -33 and -77
  Swap -33 and -77
  List after swap: [-99, -98, -97, -77, -33, 18, 16, -86, 53, 86]
  Compare -33 and 18
  No swap needed
  Compare 18 and 16
  Swap 18 and 16
  List after swap: [-99, -98, -97, -77, -33, 16, 18, -86, 53, 86]
  Compare 18 and -86
  Swap 18 and -86
  List after swap: [-99, -98, -97, -77, -33, 16, -86, 18, 53, 86]
  Compare 18 and 53
  No swap needed

Pass 3:
  Compare -99 and -98
  No swap needed
  Compare -98 and -97
  No swap needed
  Compare -97 and -77
  No swap needed
  Compare -77 and -33
  No swap needed
  Compare -33 and 16
  No swap needed
  Compare 16 and -86
  Swap 16 and -86
  List after swap: [-99, -98, -97, -77, -33, -86, 16, 18, 53, 86]
  Compare 16 and 18
  No swap needed

Pass 4:
  Compare -99 and -98
  No swap needed
  Compare -98 and -97
  No swap needed
  Compare -97 and -77
  No swap needed
  Compare -77 and -33
  No swap needed
  Compare -33 and -86
  Swap -33 and -86
  List after swap: [-99, -98, -97, -77, -86, -33, 16, 18, 53, 86]
  Compare -33 and 16
  No swap needed

Pass 5:
  Compare -99 and -98
  No swap needed
  Compare -98 and -97
  No swap needed
  Compare -97 and -77
  No swap needed
  Compare -77 and -86
  Swap -77 and -86
  List after swap: [-99, -98, -97, -86, -77, -33, 16, 18, 53, 86]
  Compare -77 and -33
  No swap needed

Pass 6:
  Compare -99 and -98
  No swap needed
  Compare -98 and -97
  No swap needed
  Compare -97 and -86
  No swap needed
  Compare -86 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -98, -97, -86, -77, -33, 16, 18, 53, 86]
</think>

<response>-99, -98, -97, -86, -77, -33, 16, 18, 53, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -12, -33, -4, 60, 74, 2, 76, 22.

output:
<think>
Initial list: [-12, -33, -4, 60, 74, 2, 76, 22]

Pass 1:
  Compare -12 and -33
  Swap -12 and -33
  List after swap: [-33, -12, -4, 60, 74, 2, 76, 22]
  Compare -12 and -4
  No swap needed
  Compare -4 and 60
  No swap needed
  Compare 60 and 74
  No swap needed
  Compare 74 and 2
  Swap 74 and 2
  List after swap: [-33, -12, -4, 60, 2, 74, 76, 22]
  Compare 74 and 76
  No swap needed
  Compare 76 and 22
  Swap 76 and 22
  List after swap: [-33, -12, -4, 60, 2, 74, 22, 76]

Pass 2:
  Compare -33 and -12
  No swap needed
  Compare -12 and -4
  No swap needed
  Compare -4 and 60
  No swap needed
  Compare 60 and 2
  Swap 60 and 2
  List after swap: [-33, -12, -4, 2, 60, 74, 22, 76]
  Compare 60 and 74
  No swap needed
  Compare 74 and 22
  Swap 74 and 22
  List after swap: [-33, -12, -4, 2, 60, 22, 74, 76]

Pass 3:
  Compare -33 and -12
  No swap needed
  Compare -12 and -4
  No swap needed
  Compare -4 and 2
  No swap needed
  Compare 2 and 60
  No swap needed
  Compare 60 and 22
  Swap 60 and 22
  List after swap: [-33, -12, -4, 2, 22, 60, 74, 76]

Pass 4:
  Compare -33 and -12
  No swap needed
  Compare -12 and -4
  No swap needed
  Compare -4 and 2
  No swap needed
  Compare 2 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, -12, -4, 2, 22, 60, 74, 76]
</think>

<response>-33, -12, -4, 2, 22, 60, 74, 76</response>


input: Implement bubble sort on 84, -16, -1, -100, -88, -22 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [84, -16, -1, -100, -88, -22]

Pass 1:
  Compare 84 and -16
  Swap 84 and -16
  List after swap: [-16, 84, -1, -100, -88, -22]
  Compare 84 and -1
  Swap 84 and -1
  List after swap: [-16, -1, 84, -100, -88, -22]
  Compare 84 and -100
  Swap 84 and -100
  List after swap: [-16, -1, -100, 84, -88, -22]
  Compare 84 and -88
  Swap 84 and -88
  List after swap: [-16, -1, -100, -88, 84, -22]
  Compare 84 and -22
  Swap 84 and -22
  List after swap: [-16, -1, -100, -88, -22, 84]

Pass 2:
  Compare -16 and -1
  No swap needed
  Compare -1 and -100
  Swap -1 and -100
  List after swap: [-16, -100, -1, -88, -22, 84]
  Compare -1 and -88
  Swap -1 and -88
  List after swap: [-16, -100, -88, -1, -22, 84]
  Compare -1 and -22
  Swap -1 and -22
  List after swap: [-16, -100, -88, -22, -1, 84]

Pass 3:
  Compare -16 and -100
  Swap -16 and -100
  List after swap: [-100, -16, -88, -22, -1, 84]
  Compare -16 and -88
  Swap -16 and -88
  List after swap: [-100, -88, -16, -22, -1, 84]
  Compare -16 and -22
  Swap -16 and -22
  List after swap: [-100, -88, -22, -16, -1, 84]

Pass 4:
  Compare -100 and -88
  No swap needed
  Compare -88 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -88, -22, -16, -1, 84]
</think>

<response>-100, -88, -22, -16, -1, 84</response>


input: Carry out the bubble sort algorithm on 88, -13, -68 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [88, -13, -68]

Pass 1:
  Compare 88 and -13
  Swap 88 and -13
  List after swap: [-13, 88, -68]
  Compare 88 and -68
  Swap 88 and -68
  List after swap: [-13, -68, 88]

Pass 2:
  Compare -13 and -68
  Swap -13 and -68
  List after swap: [-68, -13, 88]

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

Final sorted list: [-68, -13, 88]
</think>

<response>-68, -13, 88</response>


input: Arrange the numbers -49, 87, -93, -20, -77, 98 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-49, 87, -93, -20, -77, 98]

Pass 1:
  Compare -49 and 87
  No swap needed
  Compare 87 and -93
  Swap 87 and -93
  List after swap: [-49, -93, 87, -20, -77, 98]
  Compare 87 and -20
  Swap 87 and -20
  List after swap: [-49, -93, -20, 87, -77, 98]
  Compare 87 and -77
  Swap 87 and -77
  List after swap: [-49, -93, -20, -77, 87, 98]
  Compare 87 and 98
  No swap needed

Pass 2:
  Compare -49 and -93
  Swap -49 and -93
  List after swap: [-93, -49, -20, -77, 87, 98]
  Compare -49 and -20
  No swap needed
  Compare -20 and -77
  Swap -20 and -77
  List after swap: [-93, -49, -77, -20, 87, 98]
  Compare -20 and 87
  No swap needed

Pass 3:
  Compare -93 and -49
  No swap needed
  Compare -49 and -77
  Swap -49 and -77
  List after swap: [-93, -77, -49, -20, 87, 98]
  Compare -49 and -20
  No swap needed

Pass 4:
  Compare -93 and -77
  No swap needed
  Compare -77 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -77, -49, -20, 87, 98]
</think>

<response>-93, -77, -49, -20, 87, 98</response>


input: Carry out the bubble sort algorithm on -26, -75, -49, -37, -22, 84, 4, 82, -8 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-26, -75, -49, -37, -22, 84, 4, 82, -8]

Pass 1:
  Compare -26 and -75
  Swap -26 and -75
  List after swap: [-75, -26, -49, -37, -22, 84, 4, 82, -8]
  Compare -26 and -49
  Swap -26 and -49
  List after swap: [-75, -49, -26, -37, -22, 84, 4, 82, -8]
  Compare -26 and -37
  Swap -26 and -37
  List after swap: [-75, -49, -37, -26, -22, 84, 4, 82, -8]
  Compare -26 and -22
  No swap needed
  Compare -22 and 84
  No swap needed
  Compare 84 and 4
  Swap 84 and 4
  List after swap: [-75, -49, -37, -26, -22, 4, 84, 82, -8]
  Compare 84 and 82
  Swap 84 and 82
  List after swap: [-75, -49, -37, -26, -22, 4, 82, 84, -8]
  Compare 84 and -8
  Swap 84 and -8
  List after swap: [-75, -49, -37, -26, -22, 4, 82, -8, 84]

Pass 2:
  Compare -75 and -49
  No swap needed
  Compare -49 and -37
  No swap needed
  Compare -37 and -26
  No swap needed
  Compare -26 and -22
  No swap needed
  Compare -22 and 4
  No swap needed
  Compare 4 and 82
  No swap needed
  Compare 82 and -8
  Swap 82 and -8
  List after swap: [-75, -49, -37, -26, -22, 4, -8, 82, 84]

Pass 3:
  Compare -75 and -49
  No swap needed
  Compare -49 and -37
  No swap needed
  Compare -37 and -26
  No swap needed
  Compare -26 and -22
  No swap needed
  Compare -22 and 4
  No swap needed
  Compare 4 and -8
  Swap 4 and -8
  List after swap: [-75, -49, -37, -26, -22, -8, 4, 82, 84]

Pass 4:
  Compare -75 and -49
  No swap needed
  Compare -49 and -37
  No swap needed
  Compare -37 and -26
  No swap needed
  Compare -26 and -22
  No swap needed
  Compare -22 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -49, -37, -26, -22, -8, 4, 82, 84]
</think>

<response>-75, -49, -37, -26, -22, -8, 4, 82, 84</response>


input: Arrange the numbers -98, 25, 29, -97, 28, 42 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-98, 25, 29, -97, 28, 42]

Pass 1:
  Compare -98 and 25
  No swap needed
  Compare 25 and 29
  No swap needed
  Compare 29 and -97
  Swap 29 and -97
  List after swap: [-98, 25, -97, 29, 28, 42]
  Compare 29 and 28
  Swap 29 and 28
  List after swap: [-98, 25, -97, 28, 29, 42]
  Compare 29 and 42
  No swap needed

Pass 2:
  Compare -98 and 25
  No swap needed
  Compare 25 and -97
  Swap 25 and -97
  List after swap: [-98, -97, 25, 28, 29, 42]
  Compare 25 and 28
  No swap needed
  Compare 28 and 29
  No swap needed

Pass 3:
  Compare -98 and -97
  No swap needed
  Compare -97 and 25
  No swap needed
  Compare 25 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -97, 25, 28, 29, 42]
</think>

<response>-98, -97, 25, 28, 29, 42</response>


input: Carry out the bubble sort algorithm on 24, 14, 62, 79, -2, 65, 96, 29 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [24, 14, 62, 79, -2, 65, 96, 29]

Pass 1:
  Compare 24 and 14
  Swap 24 and 14
  List after swap: [14, 24, 62, 79, -2, 65, 96, 29]
  Compare 24 and 62
  No swap needed
  Compare 62 and 79
  No swap needed
  Compare 79 and -2
  Swap 79 and -2
  List after swap: [14, 24, 62, -2, 79, 65, 96, 29]
  Compare 79 and 65
  Swap 79 and 65
  List after swap: [14, 24, 62, -2, 65, 79, 96, 29]
  Compare 79 and 96
  No swap needed
  Compare 96 and 29
  Swap 96 and 29
  List after swap: [14, 24, 62, -2, 65, 79, 29, 96]

Pass 2:
  Compare 14 and 24
  No swap needed
  Compare 24 and 62
  No swap needed
  Compare 62 and -2
  Swap 62 and -2
  List after swap: [14, 24, -2, 62, 65, 79, 29, 96]
  Compare 62 and 65
  No swap needed
  Compare 65 and 79
  No swap needed
  Compare 79 and 29
  Swap 79 and 29
  List after swap: [14, 24, -2, 62, 65, 29, 79, 96]

Pass 3:
  Compare 14 and 24
  No swap needed
  Compare 24 and -2
  Swap 24 and -2
  List after swap: [14, -2, 24, 62, 65, 29, 79, 96]
  Compare 24 and 62
  No swap needed
  Compare 62 and 65
  No swap needed
  Compare 65 and 29
  Swap 65 and 29
  List after swap: [14, -2, 24, 62, 29, 65, 79, 96]

Pass 4:
  Compare 14 and -2
  Swap 14 and -2
  List after swap: [-2, 14, 24, 62, 29, 65, 79, 96]
  Compare 14 and 24
  No swap needed
  Compare 24 and 62
  No swap needed
  Compare 62 and 29
  Swap 62 and 29
  List after swap: [-2, 14, 24, 29, 62, 65, 79, 96]

Pass 5:
  Compare -2 and 14
  No swap needed
  Compare 14 and 24
  No swap needed
  Compare 24 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-2, 14, 24, 29, 62, 65, 79, 96]
</think>

<response>-2, 14, 24, 29, 62, 65, 79, 96</response>


input: Using the bubble sort method, sort 85, -52, -8, 20, 96 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [85, -52, -8, 20, 96]

Pass 1:
  Compare 85 and -52
  Swap 85 and -52
  List after swap: [-52, 85, -8, 20, 96]
  Compare 85 and -8
  Swap 85 and -8
  List after swap: [-52, -8, 85, 20, 96]
  Compare 85 and 20
  Swap 85 and 20
  List after swap: [-52, -8, 20, 85, 96]
  Compare 85 and 96
  No swap needed

Pass 2:
  Compare -52 and -8
  No swap needed
  Compare -8 and 20
  No swap needed
  Compare 20 and 85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -8, 20, 85, 96]
</think>

<response>-52, -8, 20, 85, 96</response>


input: Perform a bubble sort on the integers 43, 75, 22, 79, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [43, 75, 22, 79]

Pass 1:
  Compare 43 and 75
  No swap needed
  Compare 75 and 22
  Swap 75 and 22
  List after swap: [43, 22, 75, 79]
  Compare 75 and 79
  No swap needed

Pass 2:
  Compare 43 and 22
  Swap 43 and 22
  List after swap: [22, 43, 75, 79]
  Compare 43 and 75
  No swap needed

Pass 3:
  Compare 22 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [22, 43, 75, 79]
</think>

<response>22, 43, 75, 79</response>


input: Arrange the numbers -54, 55, 98, 27, 94, -86 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-54, 55, 98, 27, 94, -86]

Pass 1:
  Compare -54 and 55
  No swap needed
  Compare 55 and 98
  No swap needed
  Compare 98 and 27
  Swap 98 and 27
  List after swap: [-54, 55, 27, 98, 94, -86]
  Compare 98 and 94
  Swap 98 and 94
  List after swap: [-54, 55, 27, 94, 98, -86]
  Compare 98 and -86
  Swap 98 and -86
  List after swap: [-54, 55, 27, 94, -86, 98]

Pass 2:
  Compare -54 and 55
  No swap needed
  Compare 55 and 27
  Swap 55 and 27
  List after swap: [-54, 27, 55, 94, -86, 98]
  Compare 55 and 94
  No swap needed
  Compare 94 and -86
  Swap 94 and -86
  List after swap: [-54, 27, 55, -86, 94, 98]

Pass 3:
  Compare -54 and 27
  No swap needed
  Compare 27 and 55
  No swap needed
  Compare 55 and -86
  Swap 55 and -86
  List after swap: [-54, 27, -86, 55, 94, 98]

Pass 4:
  Compare -54 and 27
  No swap needed
  Compare 27 and -86
  Swap 27 and -86
  List after swap: [-54, -86, 27, 55, 94, 98]

Pass 5:
  Compare -54 and -86
  Swap -54 and -86
  List after swap: [-86, -54, 27, 55, 94, 98]

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

Final sorted list: [-86, -54, 27, 55, 94, 98]
</think>

<response>-86, -54, 27, 55, 94, 98</response>


input: Perform a bubble sort on the integers -64, -78, 72, 19, 25, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-64, -78, 72, 19, 25]

Pass 1:
  Compare -64 and -78
  Swap -64 and -78
  List after swap: [-78, -64, 72, 19, 25]
  Compare -64 and 72
  No swap needed
  Compare 72 and 19
  Swap 72 and 19
  List after swap: [-78, -64, 19, 72, 25]
  Compare 72 and 25
  Swap 72 and 25
  List after swap: [-78, -64, 19, 25, 72]

Pass 2:
  Compare -78 and -64
  No swap needed
  Compare -64 and 19
  No swap needed
  Compare 19 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -64, 19, 25, 72]
</think>

<response>-78, -64, 19, 25, 72</response>


input: Sort these integers -34, 53, -19, -67, -46 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-34, 53, -19, -67, -46]

Pass 1:
  Compare -34 and 53
  No swap needed
  Compare 53 and -19
  Swap 53 and -19
  List after swap: [-34, -19, 53, -67, -46]
  Compare 53 and -67
  Swap 53 and -67
  List after swap: [-34, -19, -67, 53, -46]
  Compare 53 and -46
  Swap 53 and -46
  List after swap: [-34, -19, -67, -46, 53]

Pass 2:
  Compare -34 and -19
  No swap needed
  Compare -19 and -67
  Swap -19 and -67
  List after swap: [-34, -67, -19, -46, 53]
  Compare -19 and -46
  Swap -19 and -46
  List after swap: [-34, -67, -46, -19, 53]

Pass 3:
  Compare -34 and -67
  Swap -34 and -67
  List after swap: [-67, -34, -46, -19, 53]
  Compare -34 and -46
  Swap -34 and -46
  List after swap: [-67, -46, -34, -19, 53]

Pass 4:
  Compare -67 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -46, -34, -19, 53]
</think>

<response>-67, -46, -34, -19, 53</response>


input: Implement bubble sort on 16, 68, -93, 58, -34, 49, -64, -96, -16, -68 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [16, 68, -93, 58, -34, 49, -64, -96, -16, -68]

Pass 1:
  Compare 16 and 68
  No swap needed
  Compare 68 and -93
  Swap 68 and -93
  List after swap: [16, -93, 68, 58, -34, 49, -64, -96, -16, -68]
  Compare 68 and 58
  Swap 68 and 58
  List after swap: [16, -93, 58, 68, -34, 49, -64, -96, -16, -68]
  Compare 68 and -34
  Swap 68 and -34
  List after swap: [16, -93, 58, -34, 68, 49, -64, -96, -16, -68]
  Compare 68 and 49
  Swap 68 and 49
  List after swap: [16, -93, 58, -34, 49, 68, -64, -96, -16, -68]
  Compare 68 and -64
  Swap 68 and -64
  List after swap: [16, -93, 58, -34, 49, -64, 68, -96, -16, -68]
  Compare 68 and -96
  Swap 68 and -96
  List after swap: [16, -93, 58, -34, 49, -64, -96, 68, -16, -68]
  Compare 68 and -16
  Swap 68 and -16
  List after swap: [16, -93, 58, -34, 49, -64, -96, -16, 68, -68]
  Compare 68 and -68
  Swap 68 and -68
  List after swap: [16, -93, 58, -34, 49, -64, -96, -16, -68, 68]

Pass 2:
  Compare 16 and -93
  Swap 16 and -93
  List after swap: [-93, 16, 58, -34, 49, -64, -96, -16, -68, 68]
  Compare 16 and 58
  No swap needed
  Compare 58 and -34
  Swap 58 and -34
  List after swap: [-93, 16, -34, 58, 49, -64, -96, -16, -68, 68]
  Compare 58 and 49
  Swap 58 and 49
  List after swap: [-93, 16, -34, 49, 58, -64, -96, -16, -68, 68]
  Compare 58 and -64
  Swap 58 and -64
  List after swap: [-93, 16, -34, 49, -64, 58, -96, -16, -68, 68]
  Compare 58 and -96
  Swap 58 and -96
  List after swap: [-93, 16, -34, 49, -64, -96, 58, -16, -68, 68]
  Compare 58 and -16
  Swap 58 and -16
  List after swap: [-93, 16, -34, 49, -64, -96, -16, 58, -68, 68]
  Compare 58 and -68
  Swap 58 and -68
  List after swap: [-93, 16, -34, 49, -64, -96, -16, -68, 58, 68]

Pass 3:
  Compare -93 and 16
  No swap needed
  Compare 16 and -34
  Swap 16 and -34
  List after swap: [-93, -34, 16, 49, -64, -96, -16, -68, 58, 68]
  Compare 16 and 49
  No swap needed
  Compare 49 and -64
  Swap 49 and -64
  List after swap: [-93, -34, 16, -64, 49, -96, -16, -68, 58, 68]
  Compare 49 and -96
  Swap 49 and -96
  List after swap: [-93, -34, 16, -64, -96, 49, -16, -68, 58, 68]
  Compare 49 and -16
  Swap 49 and -16
  List after swap: [-93, -34, 16, -64, -96, -16, 49, -68, 58, 68]
  Compare 49 and -68
  Swap 49 and -68
  List after swap: [-93, -34, 16, -64, -96, -16, -68, 49, 58, 68]

Pass 4:
  Compare -93 and -34
  No swap needed
  Compare -34 and 16
  No swap needed
  Compare 16 and -64
  Swap 16 and -64
  List after swap: [-93, -34, -64, 16, -96, -16, -68, 49, 58, 68]
  Compare 16 and -96
  Swap 16 and -96
  List after swap: [-93, -34, -64, -96, 16, -16, -68, 49, 58, 68]
  Compare 16 and -16
  Swap 16 and -16
  List after swap: [-93, -34, -64, -96, -16, 16, -68, 49, 58, 68]
  Compare 16 and -68
  Swap 16 and -68
  List after swap: [-93, -34, -64, -96, -16, -68, 16, 49, 58, 68]

Pass 5:
  Compare -93 and -34
  No swap needed
  Compare -34 and -64
  Swap -34 and -64
  List after swap: [-93, -64, -34, -96, -16, -68, 16, 49, 58, 68]
  Compare -34 and -96
  Swap -34 and -96
  List after swap: [-93, -64, -96, -34, -16, -68, 16, 49, 58, 68]
  Compare -34 and -16
  No swap needed
  Compare -16 and -68
  Swap -16 and -68
  List after swap: [-93, -64, -96, -34, -68, -16, 16, 49, 58, 68]

Pass 6:
  Compare -93 and -64
  No swap needed
  Compare -64 and -96
  Swap -64 and -96
  List after swap: [-93, -96, -64, -34, -68, -16, 16, 49, 58, 68]
  Compare -64 and -34
  No swap needed
  Compare -34 and -68
  Swap -34 and -68
  List after swap: [-93, -96, -64, -68, -34, -16, 16, 49, 58, 68]

Pass 7:
  Compare -93 and -96
  Swap -93 and -96
  List after swap: [-96, -93, -64, -68, -34, -16, 16, 49, 58, 68]
  Compare -93 and -64
  No swap needed
  Compare -64 and -68
  Swap -64 and -68
  List after swap: [-96, -93, -68, -64, -34, -16, 16, 49, 58, 68]

Pass 8:
  Compare -96 and -93
  No swap needed
  Compare -93 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -93, -68, -64, -34, -16, 16, 49, 58, 68]
</think>

<response>-96, -93, -68, -64, -34, -16, 16, 49, 58, 68</response>


input: Sort the list -26, -27, -57, 4, -44, -9, -8, -90, -79, 85 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-26, -27, -57, 4, -44, -9, -8, -90, -79, 85]

Pass 1:
  Compare -26 and -27
  Swap -26 and -27
  List after swap: [-27, -26, -57, 4, -44, -9, -8, -90, -79, 85]
  Compare -26 and -57
  Swap -26 and -57
  List after swap: [-27, -57, -26, 4, -44, -9, -8, -90, -79, 85]
  Compare -26 and 4
  No swap needed
  Compare 4 and -44
  Swap 4 and -44
  List after swap: [-27, -57, -26, -44, 4, -9, -8, -90, -79, 85]
  Compare 4 and -9
  Swap 4 and -9
  List after swap: [-27, -57, -26, -44, -9, 4, -8, -90, -79, 85]
  Compare 4 and -8
  Swap 4 and -8
  List after swap: [-27, -57, -26, -44, -9, -8, 4, -90, -79, 85]
  Compare 4 and -90
  Swap 4 and -90
  List after swap: [-27, -57, -26, -44, -9, -8, -90, 4, -79, 85]
  Compare 4 and -79
  Swap 4 and -79
  List after swap: [-27, -57, -26, -44, -9, -8, -90, -79, 4, 85]
  Compare 4 and 85
  No swap needed

Pass 2:
  Compare -27 and -57
  Swap -27 and -57
  List after swap: [-57, -27, -26, -44, -9, -8, -90, -79, 4, 85]
  Compare -27 and -26
  No swap needed
  Compare -26 and -44
  Swap -26 and -44
  List after swap: [-57, -27, -44, -26, -9, -8, -90, -79, 4, 85]
  Compare -26 and -9
  No swap needed
  Compare -9 and -8
  No swap needed
  Compare -8 and -90
  Swap -8 and -90
  List after swap: [-57, -27, -44, -26, -9, -90, -8, -79, 4, 85]
  Compare -8 and -79
  Swap -8 and -79
  List after swap: [-57, -27, -44, -26, -9, -90, -79, -8, 4, 85]
  Compare -8 and 4
  No swap needed

Pass 3:
  Compare -57 and -27
  No swap needed
  Compare -27 and -44
  Swap -27 and -44
  List after swap: [-57, -44, -27, -26, -9, -90, -79, -8, 4, 85]
  Compare -27 and -26
  No swap needed
  Compare -26 and -9
  No swap needed
  Compare -9 and -90
  Swap -9 and -90
  List after swap: [-57, -44, -27, -26, -90, -9, -79, -8, 4, 85]
  Compare -9 and -79
  Swap -9 and -79
  List after swap: [-57, -44, -27, -26, -90, -79, -9, -8, 4, 85]
  Compare -9 and -8
  No swap needed

Pass 4:
  Compare -57 and -44
  No swap needed
  Compare -44 and -27
  No swap needed
  Compare -27 and -26
  No swap needed
  Compare -26 and -90
  Swap -26 and -90
  List after swap: [-57, -44, -27, -90, -26, -79, -9, -8, 4, 85]
  Compare -26 and -79
  Swap -26 and -79
  List after swap: [-57, -44, -27, -90, -79, -26, -9, -8, 4, 85]
  Compare -26 and -9
  No swap needed

Pass 5:
  Compare -57 and -44
  No swap needed
  Compare -44 and -27
  No swap needed
  Compare -27 and -90
  Swap -27 and -90
  List after swap: [-57, -44, -90, -27, -79, -26, -9, -8, 4, 85]
  Compare -27 and -79
  Swap -27 and -79
  List after swap: [-57, -44, -90, -79, -27, -26, -9, -8, 4, 85]
  Compare -27 and -26
  No swap needed

Pass 6:
  Compare -57 and -44
  No swap needed
  Compare -44 and -90
  Swap -44 and -90
  List after swap: [-57, -90, -44, -79, -27, -26, -9, -8, 4, 85]
  Compare -44 and -79
  Swap -44 and -79
  List after swap: [-57, -90, -79, -44, -27, -26, -9, -8, 4, 85]
  Compare -44 and -27
  No swap needed

Pass 7:
  Compare -57 and -90
  Swap -57 and -90
  List after swap: [-90, -57, -79, -44, -27, -26, -9, -8, 4, 85]
  Compare -57 and -79
  Swap -57 and -79
  List after swap: [-90, -79, -57, -44, -27, -26, -9, -8, 4, 85]
  Compare -57 and -44
  No swap needed

Pass 8:
  Compare -90 and -79
  No swap needed
  Compare -79 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -79, -57, -44, -27, -26, -9, -8, 4, 85]
</think>

<response>-90, -79, -57, -44, -27, -26, -9, -8, 4, 85</response>


input: Sort these integers -43, 40 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-43, 40]

Pass 1:
  Compare -43 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, 40]
</think>

<response>-43, 40</response>


input: Carry out the bubble sort algorithm on 42, 43, -90, 17, -79, 64, 72, -63, -17 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [42, 43, -90, 17, -79, 64, 72, -63, -17]

Pass 1:
  Compare 42 and 43
  No swap needed
  Compare 43 and -90
  Swap 43 and -90
  List after swap: [42, -90, 43, 17, -79, 64, 72, -63, -17]
  Compare 43 and 17
  Swap 43 and 17
  List after swap: [42, -90, 17, 43, -79, 64, 72, -63, -17]
  Compare 43 and -79
  Swap 43 and -79
  List after swap: [42, -90, 17, -79, 43, 64, 72, -63, -17]
  Compare 43 and 64
  No swap needed
  Compare 64 and 72
  No swap needed
  Compare 72 and -63
  Swap 72 and -63
  List after swap: [42, -90, 17, -79, 43, 64, -63, 72, -17]
  Compare 72 and -17
  Swap 72 and -17
  List after swap: [42, -90, 17, -79, 43, 64, -63, -17, 72]

Pass 2:
  Compare 42 and -90
  Swap 42 and -90
  List after swap: [-90, 42, 17, -79, 43, 64, -63, -17, 72]
  Compare 42 and 17
  Swap 42 and 17
  List after swap: [-90, 17, 42, -79, 43, 64, -63, -17, 72]
  Compare 42 and -79
  Swap 42 and -79
  List after swap: [-90, 17, -79, 42, 43, 64, -63, -17, 72]
  Compare 42 and 43
  No swap needed
  Compare 43 and 64
  No swap needed
  Compare 64 and -63
  Swap 64 and -63
  List after swap: [-90, 17, -79, 42, 43, -63, 64, -17, 72]
  Compare 64 and -17
  Swap 64 and -17
  List after swap: [-90, 17, -79, 42, 43, -63, -17, 64, 72]

Pass 3:
  Compare -90 and 17
  No swap needed
  Compare 17 and -79
  Swap 17 and -79
  List after swap: [-90, -79, 17, 42, 43, -63, -17, 64, 72]
  Compare 17 and 42
  No swap needed
  Compare 42 and 43
  No swap needed
  Compare 43 and -63
  Swap 43 and -63
  List after swap: [-90, -79, 17, 42, -63, 43, -17, 64, 72]
  Compare 43 and -17
  Swap 43 and -17
  List after swap: [-90, -79, 17, 42, -63, -17, 43, 64, 72]

Pass 4:
  Compare -90 and -79
  No swap needed
  Compare -79 and 17
  No swap needed
  Compare 17 and 42
  No swap needed
  Compare 42 and -63
  Swap 42 and -63
  List after swap: [-90, -79, 17, -63, 42, -17, 43, 64, 72]
  Compare 42 and -17
  Swap 42 and -17
  List after swap: [-90, -79, 17, -63, -17, 42, 43, 64, 72]

Pass 5:
  Compare -90 and -79
  No swap needed
  Compare -79 and 17
  No swap needed
  Compare 17 and -63
  Swap 17 and -63
  List after swap: [-90, -79, -63, 17, -17, 42, 43, 64, 72]
  Compare 17 and -17
  Swap 17 and -17
  List after swap: [-90, -79, -63, -17, 17, 42, 43, 64, 72]

Pass 6:
  Compare -90 and -79
  No swap needed
  Compare -79 and -63
  No swap needed
  Compare -63 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -79, -63, -17, 17, 42, 43, 64, 72]
</think>

<response>-90, -79, -63, -17, 17, 42, 43, 64, 72</response>


input: Sort the list -2, 66, 90 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-2, 66, 90]

Pass 1:
  Compare -2 and 66
  No swap needed
  Compare 66 and 90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-2, 66, 90]
</think>

<response>-2, 66, 90</response>


input: Demonstrate how bubble sort orders the integers -45, 13, -29, -49, -46, 85, -1, -24, -60, -58 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-45, 13, -29, -49, -46, 85, -1, -24, -60, -58]

Pass 1:
  Compare -45 and 13
  No swap needed
  Compare 13 and -29
  Swap 13 and -29
  List after swap: [-45, -29, 13, -49, -46, 85, -1, -24, -60, -58]
  Compare 13 and -49
  Swap 13 and -49
  List after swap: [-45, -29, -49, 13, -46, 85, -1, -24, -60, -58]
  Compare 13 and -46
  Swap 13 and -46
  List after swap: [-45, -29, -49, -46, 13, 85, -1, -24, -60, -58]
  Compare 13 and 85
  No swap needed
  Compare 85 and -1
  Swap 85 and -1
  List after swap: [-45, -29, -49, -46, 13, -1, 85, -24, -60, -58]
  Compare 85 and -24
  Swap 85 and -24
  List after swap: [-45, -29, -49, -46, 13, -1, -24, 85, -60, -58]
  Compare 85 and -60
  Swap 85 and -60
  List after swap: [-45, -29, -49, -46, 13, -1, -24, -60, 85, -58]
  Compare 85 and -58
  Swap 85 and -58
  List after swap: [-45, -29, -49, -46, 13, -1, -24, -60, -58, 85]

Pass 2:
  Compare -45 and -29
  No swap needed
  Compare -29 and -49
  Swap -29 and -49
  List after swap: [-45, -49, -29, -46, 13, -1, -24, -60, -58, 85]
  Compare -29 and -46
  Swap -29 and -46
  List after swap: [-45, -49, -46, -29, 13, -1, -24, -60, -58, 85]
  Compare -29 and 13
  No swap needed
  Compare 13 and -1
  Swap 13 and -1
  List after swap: [-45, -49, -46, -29, -1, 13, -24, -60, -58, 85]
  Compare 13 and -24
  Swap 13 and -24
  List after swap: [-45, -49, -46, -29, -1, -24, 13, -60, -58, 85]
  Compare 13 and -60
  Swap 13 and -60
  List after swap: [-45, -49, -46, -29, -1, -24, -60, 13, -58, 85]
  Compare 13 and -58
  Swap 13 and -58
  List after swap: [-45, -49, -46, -29, -1, -24, -60, -58, 13, 85]

Pass 3:
  Compare -45 and -49
  Swap -45 and -49
  List after swap: [-49, -45, -46, -29, -1, -24, -60, -58, 13, 85]
  Compare -45 and -46
  Swap -45 and -46
  List after swap: [-49, -46, -45, -29, -1, -24, -60, -58, 13, 85]
  Compare -45 and -29
  No swap needed
  Compare -29 and -1
  No swap needed
  Compare -1 and -24
  Swap -1 and -24
  List after swap: [-49, -46, -45, -29, -24, -1, -60, -58, 13, 85]
  Compare -1 and -60
  Swap -1 and -60
  List after swap: [-49, -46, -45, -29, -24, -60, -1, -58, 13, 85]
  Compare -1 and -58
  Swap -1 and -58
  List after swap: [-49, -46, -45, -29, -24, -60, -58, -1, 13, 85]

Pass 4:
  Compare -49 and -46
  No swap needed
  Compare -46 and -45
  No swap needed
  Compare -45 and -29
  No swap needed
  Compare -29 and -24
  No swap needed
  Compare -24 and -60
  Swap -24 and -60
  List after swap: [-49, -46, -45, -29, -60, -24, -58, -1, 13, 85]
  Compare -24 and -58
  Swap -24 and -58
  List after swap: [-49, -46, -45, -29, -60, -58, -24, -1, 13, 85]

Pass 5:
  Compare -49 and -46
  No swap needed
  Compare -46 and -45
  No swap needed
  Compare -45 and -29
  No swap needed
  Compare -29 and -60
  Swap -29 and -60
  List after swap: [-49, -46, -45, -60, -29, -58, -24, -1, 13, 85]
  Compare -29 and -58
  Swap -29 and -58
  List after swap: [-49, -46, -45, -60, -58, -29, -24, -1, 13, 85]

Pass 6:
  Compare -49 and -46
  No swap needed
  Compare -46 and -45
  No swap needed
  Compare -45 and -60
  Swap -45 and -60
  List after swap: [-49, -46, -60, -45, -58, -29, -24, -1, 13, 85]
  Compare -45 and -58
  Swap -45 and -58
  List after swap: [-49, -46, -60, -58, -45, -29, -24, -1, 13, 85]

Pass 7:
  Compare -49 and -46
  No swap needed
  Compare -46 and -60
  Swap -46 and -60
  List after swap: [-49, -60, -46, -58, -45, -29, -24, -1, 13, 85]
  Compare -46 and -58
  Swap -46 and -58
  List after swap: [-49, -60, -58, -46, -45, -29, -24, -1, 13, 85]

Pass 8:
  Compare -49 and -60
  Swap -49 and -60
  List after swap: [-60, -49, -58, -46, -45, -29, -24, -1, 13, 85]
  Compare -49 and -58
  Swap -49 and -58
  List after swap: [-60, -58, -49, -46, -45, -29, -24, -1, 13, 85]

Pass 9:
  Compare -60 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -58, -49, -46, -45, -29, -24, -1, 13, 85]
</think>

<response>-60, -58, -49, -46, -45, -29, -24, -1, 13, 85</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 64, -91, 73, 20, -26, 25, 27, -50.

output:
<think>
Initial list: [64, -91, 73, 20, -26, 25, 27, -50]

Pass 1:
  Compare 64 and -91
  Swap 64 and -91
  List after swap: [-91, 64, 73, 20, -26, 25, 27, -50]
  Compare 64 and 73
  No swap needed
  Compare 73 and 20
  Swap 73 and 20
  List after swap: [-91, 64, 20, 73, -26, 25, 27, -50]
  Compare 73 and -26
  Swap 73 and -26
  List after swap: [-91, 64, 20, -26, 73, 25, 27, -50]
  Compare 73 and 25
  Swap 73 and 25
  List after swap: [-91, 64, 20, -26, 25, 73, 27, -50]
  Compare 73 and 27
  Swap 73 and 27
  List after swap: [-91, 64, 20, -26, 25, 27, 73, -50]
  Compare 73 and -50
  Swap 73 and -50
  List after swap: [-91, 64, 20, -26, 25, 27, -50, 73]

Pass 2:
  Compare -91 and 64
  No swap needed
  Compare 64 and 20
  Swap 64 and 20
  List after swap: [-91, 20, 64, -26, 25, 27, -50, 73]
  Compare 64 and -26
  Swap 64 and -26
  List after swap: [-91, 20, -26, 64, 25, 27, -50, 73]
  Compare 64 and 25
  Swap 64 and 25
  List after swap: [-91, 20, -26, 25, 64, 27, -50, 73]
  Compare 64 and 27
  Swap 64 and 27
  List after swap: [-91, 20, -26, 25, 27, 64, -50, 73]
  Compare 64 and -50
  Swap 64 and -50
  List after swap: [-91, 20, -26, 25, 27, -50, 64, 73]

Pass 3:
  Compare -91 and 20
  No swap needed
  Compare 20 and -26
  Swap 20 and -26
  List after swap: [-91, -26, 20, 25, 27, -50, 64, 73]
  Compare 20 and 25
  No swap needed
  Compare 25 and 27
  No swap needed
  Compare 27 and -50
  Swap 27 and -50
  List after swap: [-91, -26, 20, 25, -50, 27, 64, 73]

Pass 4:
  Compare -91 and -26
  No swap needed
  Compare -26 and 20
  No swap needed
  Compare 20 and 25
  No swap needed
  Compare 25 and -50
  Swap 25 and -50
  List after swap: [-91, -26, 20, -50, 25, 27, 64, 73]

Pass 5:
  Compare -91 and -26
  No swap needed
  Compare -26 and 20
  No swap needed
  Compare 20 and -50
  Swap 20 and -50
  List after swap: [-91, -26, -50, 20, 25, 27, 64, 73]

Pass 6:
  Compare -91 and -26
  No swap needed
  Compare -26 and -50
  Swap -26 and -50
  List after swap: [-91, -50, -26, 20, 25, 27, 64, 73]

Pass 7:
  Compare -91 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -50, -26, 20, 25, 27, 64, 73]
</think>

<response>-91, -50, -26, 20, 25, 27, 64, 73</response>


input: Arrange the numbers -52, 90, 29, -95 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-52, 90, 29, -95]

Pass 1:
  Compare -52 and 90
  No swap needed
  Compare 90 and 29
  Swap 90 and 29
  List after swap: [-52, 29, 90, -95]
  Compare 90 and -95
  Swap 90 and -95
  List after swap: [-52, 29, -95, 90]

Pass 2:
  Compare -52 and 29
  No swap needed
  Compare 29 and -95
  Swap 29 and -95
  List after swap: [-52, -95, 29, 90]

Pass 3:
  Compare -52 and -95
  Swap -52 and -95
  List after swap: [-95, -52, 29, 90]

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

Final sorted list: [-95, -52, 29, 90]
</think>

<response>-95, -52, 29, 90</response>


input: Demonstrate how bubble sort orders the integers -68, 1, -50 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-68, 1, -50]

Pass 1:
  Compare -68 and 1
  No swap needed
  Compare 1 and -50
  Swap 1 and -50
  List after swap: [-68, -50, 1]

Pass 2:
  Compare -68 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -50, 1]
</think>

<response>-68, -50, 1</response>


input: Sort the list 29, -74, 46 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [29, -74, 46]

Pass 1:
  Compare 29 and -74
  Swap 29 and -74
  List after swap: [-74, 29, 46]
  Compare 29 and 46
  No swap needed

Pass 2:
  Compare -74 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, 29, 46]
</think>

<response>-74, 29, 46</response>


input: Using the bubble sort method, sort -81, 54, 99, -6 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-81, 54, 99, -6]

Pass 1:
  Compare -81 and 54
  No swap needed
  Compare 54 and 99
  No swap needed
  Compare 99 and -6
  Swap 99 and -6
  List after swap: [-81, 54, -6, 99]

Pass 2:
  Compare -81 and 54
  No swap needed
  Compare 54 and -6
  Swap 54 and -6
  List after swap: [-81, -6, 54, 99]

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

Final sorted list: [-81, -6, 54, 99]
</think>

<response>-81, -6, 54, 99</response>


input: Use the bubble sort technique to reorder -73, -64, -76, -84, 28, 43, 47, 97 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-73, -64, -76, -84, 28, 43, 47, 97]

Pass 1:
  Compare -73 and -64
  No swap needed
  Compare -64 and -76
  Swap -64 and -76
  List after swap: [-73, -76, -64, -84, 28, 43, 47, 97]
  Compare -64 and -84
  Swap -64 and -84
  List after swap: [-73, -76, -84, -64, 28, 43, 47, 97]
  Compare -64 and 28
  No swap needed
  Compare 28 and 43
  No swap needed
  Compare 43 and 47
  No swap needed
  Compare 47 and 97
  No swap needed

Pass 2:
  Compare -73 and -76
  Swap -73 and -76
  List after swap: [-76, -73, -84, -64, 28, 43, 47, 97]
  Compare -73 and -84
  Swap -73 and -84
  List after swap: [-76, -84, -73, -64, 28, 43, 47, 97]
  Compare -73 and -64
  No swap needed
  Compare -64 and 28
  No swap needed
  Compare 28 and 43
  No swap needed
  Compare 43 and 47
  No swap needed

Pass 3:
  Compare -76 and -84
  Swap -76 and -84
  List after swap: [-84, -76, -73, -64, 28, 43, 47, 97]
  Compare -76 and -73
  No swap needed
  Compare -73 and -64
  No swap needed
  Compare -64 and 28
  No swap needed
  Compare 28 and 43
  No swap needed

Pass 4:
  Compare -84 and -76
  No swap needed
  Compare -76 and -73
  No swap needed
  Compare -73 and -64
  No swap needed
  Compare -64 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -76, -73, -64, 28, 43, 47, 97]
</think>

<response>-84, -76, -73, -64, 28, 43, 47, 97</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 78, 95, 35, -78, 6, 59, -94, 32, -40.

output:
<think>
Initial list: [78, 95, 35, -78, 6, 59, -94, 32, -40]

Pass 1:
  Compare 78 and 95
  No swap needed
  Compare 95 and 35
  Swap 95 and 35
  List after swap: [78, 35, 95, -78, 6, 59, -94, 32, -40]
  Compare 95 and -78
  Swap 95 and -78
  List after swap: [78, 35, -78, 95, 6, 59, -94, 32, -40]
  Compare 95 and 6
  Swap 95 and 6
  List after swap: [78, 35, -78, 6, 95, 59, -94, 32, -40]
  Compare 95 and 59
  Swap 95 and 59
  List after swap: [78, 35, -78, 6, 59, 95, -94, 32, -40]
  Compare 95 and -94
  Swap 95 and -94
  List after swap: [78, 35, -78, 6, 59, -94, 95, 32, -40]
  Compare 95 and 32
  Swap 95 and 32
  List after swap: [78, 35, -78, 6, 59, -94, 32, 95, -40]
  Compare 95 and -40
  Swap 95 and -40
  List after swap: [78, 35, -78, 6, 59, -94, 32, -40, 95]

Pass 2:
  Compare 78 and 35
  Swap 78 and 35
  List after swap: [35, 78, -78, 6, 59, -94, 32, -40, 95]
  Compare 78 and -78
  Swap 78 and -78
  List after swap: [35, -78, 78, 6, 59, -94, 32, -40, 95]
  Compare 78 and 6
  Swap 78 and 6
  List after swap: [35, -78, 6, 78, 59, -94, 32, -40, 95]
  Compare 78 and 59
  Swap 78 and 59
  List after swap: [35, -78, 6, 59, 78, -94, 32, -40, 95]
  Compare 78 and -94
  Swap 78 and -94
  List after swap: [35, -78, 6, 59, -94, 78, 32, -40, 95]
  Compare 78 and 32
  Swap 78 and 32
  List after swap: [35, -78, 6, 59, -94, 32, 78, -40, 95]
  Compare 78 and -40
  Swap 78 and -40
  List after swap: [35, -78, 6, 59, -94, 32, -40, 78, 95]

Pass 3:
  Compare 35 and -78
  Swap 35 and -78
  List after swap: [-78, 35, 6, 59, -94, 32, -40, 78, 95]
  Compare 35 and 6
  Swap 35 and 6
  List after swap: [-78, 6, 35, 59, -94, 32, -40, 78, 95]
  Compare 35 and 59
  No swap needed
  Compare 59 and -94
  Swap 59 and -94
  List after swap: [-78, 6, 35, -94, 59, 32, -40, 78, 95]
  Compare 59 and 32
  Swap 59 and 32
  List after swap: [-78, 6, 35, -94, 32, 59, -40, 78, 95]
  Compare 59 and -40
  Swap 59 and -40
  List after swap: [-78, 6, 35, -94, 32, -40, 59, 78, 95]

Pass 4:
  Compare -78 and 6
  No swap needed
  Compare 6 and 35
  No swap needed
  Compare 35 and -94
  Swap 35 and -94
  List after swap: [-78, 6, -94, 35, 32, -40, 59, 78, 95]
  Compare 35 and 32
  Swap 35 and 32
  List after swap: [-78, 6, -94, 32, 35, -40, 59, 78, 95]
  Compare 35 and -40
  Swap 35 and -40
  List after swap: [-78, 6, -94, 32, -40, 35, 59, 78, 95]

Pass 5:
  Compare -78 and 6
  No swap needed
  Compare 6 and -94
  Swap 6 and -94
  List after swap: [-78, -94, 6, 32, -40, 35, 59, 78, 95]
  Compare 6 and 32
  No swap needed
  Compare 32 and -40
  Swap 32 and -40
  List after swap: [-78, -94, 6, -40, 32, 35, 59, 78, 95]

Pass 6:
  Compare -78 and -94
  Swap -78 and -94
  List after swap: [-94, -78, 6, -40, 32, 35, 59, 78, 95]
  Compare -78 and 6
  No swap needed
  Compare 6 and -40
  Swap 6 and -40
  List after swap: [-94, -78, -40, 6, 32, 35, 59, 78, 95]

Pass 7:
  Compare -94 and -78
  No swap needed
  Compare -78 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -78, -40, 6, 32, 35, 59, 78, 95]
</think>

<response>-94, -78, -40, 6, 32, 35, 59, 78, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -85, -83, 47, -77, -35, 39.

output:
<think>
Initial list: [-85, -83, 47, -77, -35, 39]

Pass 1:
  Compare -85 and -83
  No swap needed
  Compare -83 and 47
  No swap needed
  Compare 47 and -77
  Swap 47 and -77
  List after swap: [-85, -83, -77, 47, -35, 39]
  Compare 47 and -35
  Swap 47 and -35
  List after swap: [-85, -83, -77, -35, 47, 39]
  Compare 47 and 39
  Swap 47 and 39
  List after swap: [-85, -83, -77, -35, 39, 47]

Pass 2:
  Compare -85 and -83
  No swap needed
  Compare -83 and -77
  No swap needed
  Compare -77 and -35
  No swap needed
  Compare -35 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -83, -77, -35, 39, 47]
</think>

<response>-85, -83, -77, -35, 39, 47</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -35, 16.

output:
<think>
Initial list: [-35, 16]

Pass 1:
  Compare -35 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, 16]
</think>

<response>-35, 16</response>


input: Sort the list -29, -53, -41, 30, -30, -44 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-29, -53, -41, 30, -30, -44]

Pass 1:
  Compare -29 and -53
  Swap -29 and -53
  List after swap: [-53, -29, -41, 30, -30, -44]
  Compare -29 and -41
  Swap -29 and -41
  List after swap: [-53, -41, -29, 30, -30, -44]
  Compare -29 and 30
  No swap needed
  Compare 30 and -30
  Swap 30 and -30
  List after swap: [-53, -41, -29, -30, 30, -44]
  Compare 30 and -44
  Swap 30 and -44
  List after swap: [-53, -41, -29, -30, -44, 30]

Pass 2:
  Compare -53 and -41
  No swap needed
  Compare -41 and -29
  No swap needed
  Compare -29 and -30
  Swap -29 and -30
  List after swap: [-53, -41, -30, -29, -44, 30]
  Compare -29 and -44
  Swap -29 and -44
  List after swap: [-53, -41, -30, -44, -29, 30]

Pass 3:
  Compare -53 and -41
  No swap needed
  Compare -41 and -30
  No swap needed
  Compare -30 and -44
  Swap -30 and -44
  List after swap: [-53, -41, -44, -30, -29, 30]

Pass 4:
  Compare -53 and -41
  No swap needed
  Compare -41 and -44
  Swap -41 and -44
  List after swap: [-53, -44, -41, -30, -29, 30]

Pass 5:
  Compare -53 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -44, -41, -30, -29, 30]
</think>

<response>-53, -44, -41, -30, -29, 30</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 81, -51, -98, 94, 30.

output:
<think>
Initial list: [81, -51, -98, 94, 30]

Pass 1:
  Compare 81 and -51
  Swap 81 and -51
  List after swap: [-51, 81, -98, 94, 30]
  Compare 81 and -98
  Swap 81 and -98
  List after swap: [-51, -98, 81, 94, 30]
  Compare 81 and 94
  No swap needed
  Compare 94 and 30
  Swap 94 and 30
  List after swap: [-51, -98, 81, 30, 94]

Pass 2:
  Compare -51 and -98
  Swap -51 and -98
  List after swap: [-98, -51, 81, 30, 94]
  Compare -51 and 81
  No swap needed
  Compare 81 and 30
  Swap 81 and 30
  List after swap: [-98, -51, 30, 81, 94]

Pass 3:
  Compare -98 and -51
  No swap needed
  Compare -51 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -51, 30, 81, 94]
</think>

<response>-98, -51, 30, 81, 94</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 15, -65, -7, 42, 58, -50, 92.

output:
<think>
Initial list: [15, -65, -7, 42, 58, -50, 92]

Pass 1:
  Compare 15 and -65
  Swap 15 and -65
  List after swap: [-65, 15, -7, 42, 58, -50, 92]
  Compare 15 and -7
  Swap 15 and -7
  List after swap: [-65, -7, 15, 42, 58, -50, 92]
  Compare 15 and 42
  No swap needed
  Compare 42 and 58
  No swap needed
  Compare 58 and -50
  Swap 58 and -50
  List after swap: [-65, -7, 15, 42, -50, 58, 92]
  Compare 58 and 92
  No swap needed

Pass 2:
  Compare -65 and -7
  No swap needed
  Compare -7 and 15
  No swap needed
  Compare 15 and 42
  No swap needed
  Compare 42 and -50
  Swap 42 and -50
  List after swap: [-65, -7, 15, -50, 42, 58, 92]
  Compare 42 and 58
  No swap needed

Pass 3:
  Compare -65 and -7
  No swap needed
  Compare -7 and 15
  No swap needed
  Compare 15 and -50
  Swap 15 and -50
  List after swap: [-65, -7, -50, 15, 42, 58, 92]
  Compare 15 and 42
  No swap needed

Pass 4:
  Compare -65 and -7
  No swap needed
  Compare -7 and -50
  Swap -7 and -50
  List after swap: [-65, -50, -7, 15, 42, 58, 92]
  Compare -7 and 15
  No swap needed

Pass 5:
  Compare -65 and -50
  No swap needed
  Compare -50 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -50, -7, 15, 42, 58, 92]
</think>

<response>-65, -50, -7, 15, 42, 58, 92</response>


input: Sort the list 52, -61, -76, 15, -8, -88, -21, 2, -58, -37 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [52, -61, -76, 15, -8, -88, -21, 2, -58, -37]

Pass 1:
  Compare 52 and -61
  Swap 52 and -61
  List after swap: [-61, 52, -76, 15, -8, -88, -21, 2, -58, -37]
  Compare 52 and -76
  Swap 52 and -76
  List after swap: [-61, -76, 52, 15, -8, -88, -21, 2, -58, -37]
  Compare 52 and 15
  Swap 52 and 15
  List after swap: [-61, -76, 15, 52, -8, -88, -21, 2, -58, -37]
  Compare 52 and -8
  Swap 52 and -8
  List after swap: [-61, -76, 15, -8, 52, -88, -21, 2, -58, -37]
  Compare 52 and -88
  Swap 52 and -88
  List after swap: [-61, -76, 15, -8, -88, 52, -21, 2, -58, -37]
  Compare 52 and -21
  Swap 52 and -21
  List after swap: [-61, -76, 15, -8, -88, -21, 52, 2, -58, -37]
  Compare 52 and 2
  Swap 52 and 2
  List after swap: [-61, -76, 15, -8, -88, -21, 2, 52, -58, -37]
  Compare 52 and -58
  Swap 52 and -58
  List after swap: [-61, -76, 15, -8, -88, -21, 2, -58, 52, -37]
  Compare 52 and -37
  Swap 52 and -37
  List after swap: [-61, -76, 15, -8, -88, -21, 2, -58, -37, 52]

Pass 2:
  Compare -61 and -76
  Swap -61 and -76
  List after swap: [-76, -61, 15, -8, -88, -21, 2, -58, -37, 52]
  Compare -61 and 15
  No swap needed
  Compare 15 and -8
  Swap 15 and -8
  List after swap: [-76, -61, -8, 15, -88, -21, 2, -58, -37, 52]
  Compare 15 and -88
  Swap 15 and -88
  List after swap: [-76, -61, -8, -88, 15, -21, 2, -58, -37, 52]
  Compare 15 and -21
  Swap 15 and -21
  List after swap: [-76, -61, -8, -88, -21, 15, 2, -58, -37, 52]
  Compare 15 and 2
  Swap 15 and 2
  List after swap: [-76, -61, -8, -88, -21, 2, 15, -58, -37, 52]
  Compare 15 and -58
  Swap 15 and -58
  List after swap: [-76, -61, -8, -88, -21, 2, -58, 15, -37, 52]
  Compare 15 and -37
  Swap 15 and -37
  List after swap: [-76, -61, -8, -88, -21, 2, -58, -37, 15, 52]

Pass 3:
  Compare -76 and -61
  No swap needed
  Compare -61 and -8
  No swap needed
  Compare -8 and -88
  Swap -8 and -88
  List after swap: [-76, -61, -88, -8, -21, 2, -58, -37, 15, 52]
  Compare -8 and -21
  Swap -8 and -21
  List after swap: [-76, -61, -88, -21, -8, 2, -58, -37, 15, 52]
  Compare -8 and 2
  No swap needed
  Compare 2 and -58
  Swap 2 and -58
  List after swap: [-76, -61, -88, -21, -8, -58, 2, -37, 15, 52]
  Compare 2 and -37
  Swap 2 and -37
  List after swap: [-76, -61, -88, -21, -8, -58, -37, 2, 15, 52]

Pass 4:
  Compare -76 and -61
  No swap needed
  Compare -61 and -88
  Swap -61 and -88
  List after swap: [-76, -88, -61, -21, -8, -58, -37, 2, 15, 52]
  Compare -61 and -21
  No swap needed
  Compare -21 and -8
  No swap needed
  Compare -8 and -58
  Swap -8 and -58
  List after swap: [-76, -88, -61, -21, -58, -8, -37, 2, 15, 52]
  Compare -8 and -37
  Swap -8 and -37
  List after swap: [-76, -88, -61, -21, -58, -37, -8, 2, 15, 52]

Pass 5:
  Compare -76 and -88
  Swap -76 and -88
  List after swap: [-88, -76, -61, -21, -58, -37, -8, 2, 15, 52]
  Compare -76 and -61
  No swap needed
  Compare -61 and -21
  No swap needed
  Compare -21 and -58
  Swap -21 and -58
  List after swap: [-88, -76, -61, -58, -21, -37, -8, 2, 15, 52]
  Compare -21 and -37
  Swap -21 and -37
  List after swap: [-88, -76, -61, -58, -37, -21, -8, 2, 15, 52]

Pass 6:
  Compare -88 and -76
  No swap needed
  Compare -76 and -61
  No swap needed
  Compare -61 and -58
  No swap needed
  Compare -58 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -76, -61, -58, -37, -21, -8, 2, 15, 52]
</think>

<response>-88, -76, -61, -58, -37, -21, -8, 2, 15, 52</response>


input: Carry out the bubble sort algorithm on -33, -51, 22, 46, 58, 84, -11, -98, -10 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-33, -51, 22, 46, 58, 84, -11, -98, -10]

Pass 1:
  Compare -33 and -51
  Swap -33 and -51
  List after swap: [-51, -33, 22, 46, 58, 84, -11, -98, -10]
  Compare -33 and 22
  No swap needed
  Compare 22 and 46
  No swap needed
  Compare 46 and 58
  No swap needed
  Compare 58 and 84
  No swap needed
  Compare 84 and -11
  Swap 84 and -11
  List after swap: [-51, -33, 22, 46, 58, -11, 84, -98, -10]
  Compare 84 and -98
  Swap 84 and -98
  List after swap: [-51, -33, 22, 46, 58, -11, -98, 84, -10]
  Compare 84 and -10
  Swap 84 and -10
  List after swap: [-51, -33, 22, 46, 58, -11, -98, -10, 84]

Pass 2:
  Compare -51 and -33
  No swap needed
  Compare -33 and 22
  No swap needed
  Compare 22 and 46
  No swap needed
  Compare 46 and 58
  No swap needed
  Compare 58 and -11
  Swap 58 and -11
  List after swap: [-51, -33, 22, 46, -11, 58, -98, -10, 84]
  Compare 58 and -98
  Swap 58 and -98
  List after swap: [-51, -33, 22, 46, -11, -98, 58, -10, 84]
  Compare 58 and -10
  Swap 58 and -10
  List after swap: [-51, -33, 22, 46, -11, -98, -10, 58, 84]

Pass 3:
  Compare -51 and -33
  No swap needed
  Compare -33 and 22
  No swap needed
  Compare 22 and 46
  No swap needed
  Compare 46 and -11
  Swap 46 and -11
  List after swap: [-51, -33, 22, -11, 46, -98, -10, 58, 84]
  Compare 46 and -98
  Swap 46 and -98
  List after swap: [-51, -33, 22, -11, -98, 46, -10, 58, 84]
  Compare 46 and -10
  Swap 46 and -10
  List after swap: [-51, -33, 22, -11, -98, -10, 46, 58, 84]

Pass 4:
  Compare -51 and -33
  No swap needed
  Compare -33 and 22
  No swap needed
  Compare 22 and -11
  Swap 22 and -11
  List after swap: [-51, -33, -11, 22, -98, -10, 46, 58, 84]
  Compare 22 and -98
  Swap 22 and -98
  List after swap: [-51, -33, -11, -98, 22, -10, 46, 58, 84]
  Compare 22 and -10
  Swap 22 and -10
  List after swap: [-51, -33, -11, -98, -10, 22, 46, 58, 84]

Pass 5:
  Compare -51 and -33
  No swap needed
  Compare -33 and -11
  No swap needed
  Compare -11 and -98
  Swap -11 and -98
  List after swap: [-51, -33, -98, -11, -10, 22, 46, 58, 84]
  Compare -11 and -10
  No swap needed

Pass 6:
  Compare -51 and -33
  No swap needed
  Compare -33 and -98
  Swap -33 and -98
  List after swap: [-51, -98, -33, -11, -10, 22, 46, 58, 84]
  Compare -33 and -11
  No swap needed

Pass 7:
  Compare -51 and -98
  Swap -51 and -98
  List after swap: [-98, -51, -33, -11, -10, 22, 46, 58, 84]
  Compare -51 and -33
  No swap needed

Pass 8:
  Compare -98 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -51, -33, -11, -10, 22, 46, 58, 84]
</think>

<response>-98, -51, -33, -11, -10, 22, 46, 58, 84</response>


input: Carry out the bubble sort algorithm on 71, 65, 58, -45 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [71, 65, 58, -45]

Pass 1:
  Compare 71 and 65
  Swap 71 and 65
  List after swap: [65, 71, 58, -45]
  Compare 71 and 58
  Swap 71 and 58
  List after swap: [65, 58, 71, -45]
  Compare 71 and -45
  Swap 71 and -45
  List after swap: [65, 58, -45, 71]

Pass 2:
  Compare 65 and 58
  Swap 65 and 58
  List after swap: [58, 65, -45, 71]
  Compare 65 and -45
  Swap 65 and -45
  List after swap: [58, -45, 65, 71]

Pass 3:
  Compare 58 and -45
  Swap 58 and -45
  List after swap: [-45, 58, 65, 71]

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

Final sorted list: [-45, 58, 65, 71]
</think>

<response>-45, 58, 65, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 17, 43, 36, -35, -98, -44, 37, -27, 67, -70.

output:
<think>
Initial list: [17, 43, 36, -35, -98, -44, 37, -27, 67, -70]

Pass 1:
  Compare 17 and 43
  No swap needed
  Compare 43 and 36
  Swap 43 and 36
  List after swap: [17, 36, 43, -35, -98, -44, 37, -27, 67, -70]
  Compare 43 and -35
  Swap 43 and -35
  List after swap: [17, 36, -35, 43, -98, -44, 37, -27, 67, -70]
  Compare 43 and -98
  Swap 43 and -98
  List after swap: [17, 36, -35, -98, 43, -44, 37, -27, 67, -70]
  Compare 43 and -44
  Swap 43 and -44
  List after swap: [17, 36, -35, -98, -44, 43, 37, -27, 67, -70]
  Compare 43 and 37
  Swap 43 and 37
  List after swap: [17, 36, -35, -98, -44, 37, 43, -27, 67, -70]
  Compare 43 and -27
  Swap 43 and -27
  List after swap: [17, 36, -35, -98, -44, 37, -27, 43, 67, -70]
  Compare 43 and 67
  No swap needed
  Compare 67 and -70
  Swap 67 and -70
  List after swap: [17, 36, -35, -98, -44, 37, -27, 43, -70, 67]

Pass 2:
  Compare 17 and 36
  No swap needed
  Compare 36 and -35
  Swap 36 and -35
  List after swap: [17, -35, 36, -98, -44, 37, -27, 43, -70, 67]
  Compare 36 and -98
  Swap 36 and -98
  List after swap: [17, -35, -98, 36, -44, 37, -27, 43, -70, 67]
  Compare 36 and -44
  Swap 36 and -44
  List after swap: [17, -35, -98, -44, 36, 37, -27, 43, -70, 67]
  Compare 36 and 37
  No swap needed
  Compare 37 and -27
  Swap 37 and -27
  List after swap: [17, -35, -98, -44, 36, -27, 37, 43, -70, 67]
  Compare 37 and 43
  No swap needed
  Compare 43 and -70
  Swap 43 and -70
  List after swap: [17, -35, -98, -44, 36, -27, 37, -70, 43, 67]

Pass 3:
  Compare 17 and -35
  Swap 17 and -35
  List after swap: [-35, 17, -98, -44, 36, -27, 37, -70, 43, 67]
  Compare 17 and -98
  Swap 17 and -98
  List after swap: [-35, -98, 17, -44, 36, -27, 37, -70, 43, 67]
  Compare 17 and -44
  Swap 17 and -44
  List after swap: [-35, -98, -44, 17, 36, -27, 37, -70, 43, 67]
  Compare 17 and 36
  No swap needed
  Compare 36 and -27
  Swap 36 and -27
  List after swap: [-35, -98, -44, 17, -27, 36, 37, -70, 43, 67]
  Compare 36 and 37
  No swap needed
  Compare 37 and -70
  Swap 37 and -70
  List after swap: [-35, -98, -44, 17, -27, 36, -70, 37, 43, 67]

Pass 4:
  Compare -35 and -98
  Swap -35 and -98
  List after swap: [-98, -35, -44, 17, -27, 36, -70, 37, 43, 67]
  Compare -35 and -44
  Swap -35 and -44
  List after swap: [-98, -44, -35, 17, -27, 36, -70, 37, 43, 67]
  Compare -35 and 17
  No swap needed
  Compare 17 and -27
  Swap 17 and -27
  List after swap: [-98, -44, -35, -27, 17, 36, -70, 37, 43, 67]
  Compare 17 and 36
  No swap needed
  Compare 36 and -70
  Swap 36 and -70
  List after swap: [-98, -44, -35, -27, 17, -70, 36, 37, 43, 67]

Pass 5:
  Compare -98 and -44
  No swap needed
  Compare -44 and -35
  No swap needed
  Compare -35 and -27
  No swap needed
  Compare -27 and 17
  No swap needed
  Compare 17 and -70
  Swap 17 and -70
  List after swap: [-98, -44, -35, -27, -70, 17, 36, 37, 43, 67]

Pass 6:
  Compare -98 and -44
  No swap needed
  Compare -44 and -35
  No swap needed
  Compare -35 and -27
  No swap needed
  Compare -27 and -70
  Swap -27 and -70
  List after swap: [-98, -44, -35, -70, -27, 17, 36, 37, 43, 67]

Pass 7:
  Compare -98 and -44
  No swap needed
  Compare -44 and -35
  No swap needed
  Compare -35 and -70
  Swap -35 and -70
  List after swap: [-98, -44, -70, -35, -27, 17, 36, 37, 43, 67]

Pass 8:
  Compare -98 and -44
  No swap needed
  Compare -44 and -70
  Swap -44 and -70
  List after swap: [-98, -70, -44, -35, -27, 17, 36, 37, 43, 67]

Pass 9:
  Compare -98 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -70, -44, -35, -27, 17, 36, 37, 43, 67]
</think>

<response>-98, -70, -44, -35, -27, 17, 36, 37, 43, 67</response>


input: Sort the list 46, 49, -76, 83, 88, 6, -32, -80 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [46, 49, -76, 83, 88, 6, -32, -80]

Pass 1:
  Compare 46 and 49
  No swap needed
  Compare 49 and -76
  Swap 49 and -76
  List after swap: [46, -76, 49, 83, 88, 6, -32, -80]
  Compare 49 and 83
  No swap needed
  Compare 83 and 88
  No swap needed
  Compare 88 and 6
  Swap 88 and 6
  List after swap: [46, -76, 49, 83, 6, 88, -32, -80]
  Compare 88 and -32
  Swap 88 and -32
  List after swap: [46, -76, 49, 83, 6, -32, 88, -80]
  Compare 88 and -80
  Swap 88 and -80
  List after swap: [46, -76, 49, 83, 6, -32, -80, 88]

Pass 2:
  Compare 46 and -76
  Swap 46 and -76
  List after swap: [-76, 46, 49, 83, 6, -32, -80, 88]
  Compare 46 and 49
  No swap needed
  Compare 49 and 83
  No swap needed
  Compare 83 and 6
  Swap 83 and 6
  List after swap: [-76, 46, 49, 6, 83, -32, -80, 88]
  Compare 83 and -32
  Swap 83 and -32
  List after swap: [-76, 46, 49, 6, -32, 83, -80, 88]
  Compare 83 and -80
  Swap 83 and -80
  List after swap: [-76, 46, 49, 6, -32, -80, 83, 88]

Pass 3:
  Compare -76 and 46
  No swap needed
  Compare 46 and 49
  No swap needed
  Compare 49 and 6
  Swap 49 and 6
  List after swap: [-76, 46, 6, 49, -32, -80, 83, 88]
  Compare 49 and -32
  Swap 49 and -32
  List after swap: [-76, 46, 6, -32, 49, -80, 83, 88]
  Compare 49 and -80
  Swap 49 and -80
  List after swap: [-76, 46, 6, -32, -80, 49, 83, 88]

Pass 4:
  Compare -76 and 46
  No swap needed
  Compare 46 and 6
  Swap 46 and 6
  List after swap: [-76, 6, 46, -32, -80, 49, 83, 88]
  Compare 46 and -32
  Swap 46 and -32
  List after swap: [-76, 6, -32, 46, -80, 49, 83, 88]
  Compare 46 and -80
  Swap 46 and -80
  List after swap: [-76, 6, -32, -80, 46, 49, 83, 88]

Pass 5:
  Compare -76 and 6
  No swap needed
  Compare 6 and -32
  Swap 6 and -32
  List after swap: [-76, -32, 6, -80, 46, 49, 83, 88]
  Compare 6 and -80
  Swap 6 and -80
  List after swap: [-76, -32, -80, 6, 46, 49, 83, 88]

Pass 6:
  Compare -76 and -32
  No swap needed
  Compare -32 and -80
  Swap -32 and -80
  List after swap: [-76, -80, -32, 6, 46, 49, 83, 88]

Pass 7:
  Compare -76 and -80
  Swap -76 and -80
  List after swap: [-80, -76, -32, 6, 46, 49, 83, 88]

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

Final sorted list: [-80, -76, -32, 6, 46, 49, 83, 88]
</think>

<response>-80, -76, -32, 6, 46, 49, 83, 88</response>


input: Sort these integers 6, -2, -29 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [6, -2, -29]

Pass 1:
  Compare 6 and -2
  Swap 6 and -2
  List after swap: [-2, 6, -29]
  Compare 6 and -29
  Swap 6 and -29
  List after swap: [-2, -29, 6]

Pass 2:
  Compare -2 and -29
  Swap -2 and -29
  List after swap: [-29, -2, 6]

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

Final sorted list: [-29, -2, 6]
</think>

<response>-29, -2, 6</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -65, 52, 53, 59, 70, -8.

output:
<think>
Initial list: [-65, 52, 53, 59, 70, -8]

Pass 1:
  Compare -65 and 52
  No swap needed
  Compare 52 and 53
  No swap needed
  Compare 53 and 59
  No swap needed
  Compare 59 and 70
  No swap needed
  Compare 70 and -8
  Swap 70 and -8
  List after swap: [-65, 52, 53, 59, -8, 70]

Pass 2:
  Compare -65 and 52
  No swap needed
  Compare 52 and 53
  No swap needed
  Compare 53 and 59
  No swap needed
  Compare 59 and -8
  Swap 59 and -8
  List after swap: [-65, 52, 53, -8, 59, 70]

Pass 3:
  Compare -65 and 52
  No swap needed
  Compare 52 and 53
  No swap needed
  Compare 53 and -8
  Swap 53 and -8
  List after swap: [-65, 52, -8, 53, 59, 70]

Pass 4:
  Compare -65 and 52
  No swap needed
  Compare 52 and -8
  Swap 52 and -8
  List after swap: [-65, -8, 52, 53, 59, 70]

Pass 5:
  Compare -65 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -8, 52, 53, 59, 70]
</think>

<response>-65, -8, 52, 53, 59, 70</response>


input: Sort these integers -13, 66, -97, 77, -16, -74, 52 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-13, 66, -97, 77, -16, -74, 52]

Pass 1:
  Compare -13 and 66
  No swap needed
  Compare 66 and -97
  Swap 66 and -97
  List after swap: [-13, -97, 66, 77, -16, -74, 52]
  Compare 66 and 77
  No swap needed
  Compare 77 and -16
  Swap 77 and -16
  List after swap: [-13, -97, 66, -16, 77, -74, 52]
  Compare 77 and -74
  Swap 77 and -74
  List after swap: [-13, -97, 66, -16, -74, 77, 52]
  Compare 77 and 52
  Swap 77 and 52
  List after swap: [-13, -97, 66, -16, -74, 52, 77]

Pass 2:
  Compare -13 and -97
  Swap -13 and -97
  List after swap: [-97, -13, 66, -16, -74, 52, 77]
  Compare -13 and 66
  No swap needed
  Compare 66 and -16
  Swap 66 and -16
  List after swap: [-97, -13, -16, 66, -74, 52, 77]
  Compare 66 and -74
  Swap 66 and -74
  List after swap: [-97, -13, -16, -74, 66, 52, 77]
  Compare 66 and 52
  Swap 66 and 52
  List after swap: [-97, -13, -16, -74, 52, 66, 77]

Pass 3:
  Compare -97 and -13
  No swap needed
  Compare -13 and -16
  Swap -13 and -16
  List after swap: [-97, -16, -13, -74, 52, 66, 77]
  Compare -13 and -74
  Swap -13 and -74
  List after swap: [-97, -16, -74, -13, 52, 66, 77]
  Compare -13 and 52
  No swap needed

Pass 4:
  Compare -97 and -16
  No swap needed
  Compare -16 and -74
  Swap -16 and -74
  List after swap: [-97, -74, -16, -13, 52, 66, 77]
  Compare -16 and -13
  No swap needed

Pass 5:
  Compare -97 and -74
  No swap needed
  Compare -74 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -74, -16, -13, 52, 66, 77]
</think>

<response>-97, -74, -16, -13, 52, 66, 77</response>


input: Use the bubble sort technique to reorder 68, 52, -23, -95, -22, -75, -94, 11 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [68, 52, -23, -95, -22, -75, -94, 11]

Pass 1:
  Compare 68 and 52
  Swap 68 and 52
  List after swap: [52, 68, -23, -95, -22, -75, -94, 11]
  Compare 68 and -23
  Swap 68 and -23
  List after swap: [52, -23, 68, -95, -22, -75, -94, 11]
  Compare 68 and -95
  Swap 68 and -95
  List after swap: [52, -23, -95, 68, -22, -75, -94, 11]
  Compare 68 and -22
  Swap 68 and -22
  List after swap: [52, -23, -95, -22, 68, -75, -94, 11]
  Compare 68 and -75
  Swap 68 and -75
  List after swap: [52, -23, -95, -22, -75, 68, -94, 11]
  Compare 68 and -94
  Swap 68 and -94
  List after swap: [52, -23, -95, -22, -75, -94, 68, 11]
  Compare 68 and 11
  Swap 68 and 11
  List after swap: [52, -23, -95, -22, -75, -94, 11, 68]

Pass 2:
  Compare 52 and -23
  Swap 52 and -23
  List after swap: [-23, 52, -95, -22, -75, -94, 11, 68]
  Compare 52 and -95
  Swap 52 and -95
  List after swap: [-23, -95, 52, -22, -75, -94, 11, 68]
  Compare 52 and -22
  Swap 52 and -22
  List after swap: [-23, -95, -22, 52, -75, -94, 11, 68]
  Compare 52 and -75
  Swap 52 and -75
  List after swap: [-23, -95, -22, -75, 52, -94, 11, 68]
  Compare 52 and -94
  Swap 52 and -94
  List after swap: [-23, -95, -22, -75, -94, 52, 11, 68]
  Compare 52 and 11
  Swap 52 and 11
  List after swap: [-23, -95, -22, -75, -94, 11, 52, 68]

Pass 3:
  Compare -23 and -95
  Swap -23 and -95
  List after swap: [-95, -23, -22, -75, -94, 11, 52, 68]
  Compare -23 and -22
  No swap needed
  Compare -22 and -75
  Swap -22 and -75
  List after swap: [-95, -23, -75, -22, -94, 11, 52, 68]
  Compare -22 and -94
  Swap -22 and -94
  List after swap: [-95, -23, -75, -94, -22, 11, 52, 68]
  Compare -22 and 11
  No swap needed

Pass 4:
  Compare -95 and -23
  No swap needed
  Compare -23 and -75
  Swap -23 and -75
  List after swap: [-95, -75, -23, -94, -22, 11, 52, 68]
  Compare -23 and -94
  Swap -23 and -94
  List after swap: [-95, -75, -94, -23, -22, 11, 52, 68]
  Compare -23 and -22
  No swap needed

Pass 5:
  Compare -95 and -75
  No swap needed
  Compare -75 and -94
  Swap -75 and -94
  List after swap: [-95, -94, -75, -23, -22, 11, 52, 68]
  Compare -75 and -23
  No swap needed

Pass 6:
  Compare -95 and -94
  No swap needed
  Compare -94 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -94, -75, -23, -22, 11, 52, 68]
</think>

<response>-95, -94, -75, -23, -22, 11, 52, 68</response>


input: Demonstrate how bubble sort orders the integers -72, 56, -99, 27, -43, -57, 50, 32, -4 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-72, 56, -99, 27, -43, -57, 50, 32, -4]

Pass 1:
  Compare -72 and 56
  No swap needed
  Compare 56 and -99
  Swap 56 and -99
  List after swap: [-72, -99, 56, 27, -43, -57, 50, 32, -4]
  Compare 56 and 27
  Swap 56 and 27
  List after swap: [-72, -99, 27, 56, -43, -57, 50, 32, -4]
  Compare 56 and -43
  Swap 56 and -43
  List after swap: [-72, -99, 27, -43, 56, -57, 50, 32, -4]
  Compare 56 and -57
  Swap 56 and -57
  List after swap: [-72, -99, 27, -43, -57, 56, 50, 32, -4]
  Compare 56 and 50
  Swap 56 and 50
  List after swap: [-72, -99, 27, -43, -57, 50, 56, 32, -4]
  Compare 56 and 32
  Swap 56 and 32
  List after swap: [-72, -99, 27, -43, -57, 50, 32, 56, -4]
  Compare 56 and -4
  Swap 56 and -4
  List after swap: [-72, -99, 27, -43, -57, 50, 32, -4, 56]

Pass 2:
  Compare -72 and -99
  Swap -72 and -99
  List after swap: [-99, -72, 27, -43, -57, 50, 32, -4, 56]
  Compare -72 and 27
  No swap needed
  Compare 27 and -43
  Swap 27 and -43
  List after swap: [-99, -72, -43, 27, -57, 50, 32, -4, 56]
  Compare 27 and -57
  Swap 27 and -57
  List after swap: [-99, -72, -43, -57, 27, 50, 32, -4, 56]
  Compare 27 and 50
  No swap needed
  Compare 50 and 32
  Swap 50 and 32
  List after swap: [-99, -72, -43, -57, 27, 32, 50, -4, 56]
  Compare 50 and -4
  Swap 50 and -4
  List after swap: [-99, -72, -43, -57, 27, 32, -4, 50, 56]

Pass 3:
  Compare -99 and -72
  No swap needed
  Compare -72 and -43
  No swap needed
  Compare -43 and -57
  Swap -43 and -57
  List after swap: [-99, -72, -57, -43, 27, 32, -4, 50, 56]
  Compare -43 and 27
  No swap needed
  Compare 27 and 32
  No swap needed
  Compare 32 and -4
  Swap 32 and -4
  List after swap: [-99, -72, -57, -43, 27, -4, 32, 50, 56]

Pass 4:
  Compare -99 and -72
  No swap needed
  Compare -72 and -57
  No swap needed
  Compare -57 and -43
  No swap needed
  Compare -43 and 27
  No swap needed
  Compare 27 and -4
  Swap 27 and -4
  List after swap: [-99, -72, -57, -43, -4, 27, 32, 50, 56]

Pass 5:
  Compare -99 and -72
  No swap needed
  Compare -72 and -57
  No swap needed
  Compare -57 and -43
  No swap needed
  Compare -43 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -72, -57, -43, -4, 27, 32, 50, 56]
</think>

<response>-99, -72, -57, -43, -4, 27, 32, 50, 56</response>


input: Demonstrate how bubble sort orders the integers 4, -8, -22, 24 in ascending sequence, showing all steps.

output:
<think>
Initial list: [4, -8, -22, 24]

Pass 1:
  Compare 4 and -8
  Swap 4 and -8
  List after swap: [-8, 4, -22, 24]
  Compare 4 and -22
  Swap 4 and -22
  List after swap: [-8, -22, 4, 24]
  Compare 4 and 24
  No swap needed

Pass 2:
  Compare -8 and -22
  Swap -8 and -22
  List after swap: [-22, -8, 4, 24]
  Compare -8 and 4
  No swap needed

Pass 3:
  Compare -22 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, -8, 4, 24]
</think>

<response>-22, -8, 4, 24</response>


input: Carry out the bubble sort algorithm on -56, 60 to arrange them from smallest to largest, documenting each step.

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

Pass 1:
  Compare -56 and 60
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-56, 60</response>


input: Using the bubble sort method, sort -97, -24, 36, -67, -43, -69, -79, 6 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-97, -24, 36, -67, -43, -69, -79, 6]

Pass 1:
  Compare -97 and -24
  No swap needed
  Compare -24 and 36
  No swap needed
  Compare 36 and -67
  Swap 36 and -67
  List after swap: [-97, -24, -67, 36, -43, -69, -79, 6]
  Compare 36 and -43
  Swap 36 and -43
  List after swap: [-97, -24, -67, -43, 36, -69, -79, 6]
  Compare 36 and -69
  Swap 36 and -69
  List after swap: [-97, -24, -67, -43, -69, 36, -79, 6]
  Compare 36 and -79
  Swap 36 and -79
  List after swap: [-97, -24, -67, -43, -69, -79, 36, 6]
  Compare 36 and 6
  Swap 36 and 6
  List after swap: [-97, -24, -67, -43, -69, -79, 6, 36]

Pass 2:
  Compare -97 and -24
  No swap needed
  Compare -24 and -67
  Swap -24 and -67
  List after swap: [-97, -67, -24, -43, -69, -79, 6, 36]
  Compare -24 and -43
  Swap -24 and -43
  List after swap: [-97, -67, -43, -24, -69, -79, 6, 36]
  Compare -24 and -69
  Swap -24 and -69
  List after swap: [-97, -67, -43, -69, -24, -79, 6, 36]
  Compare -24 and -79
  Swap -24 and -79
  List after swap: [-97, -67, -43, -69, -79, -24, 6, 36]
  Compare -24 and 6
  No swap needed

Pass 3:
  Compare -97 and -67
  No swap needed
  Compare -67 and -43
  No swap needed
  Compare -43 and -69
  Swap -43 and -69
  List after swap: [-97, -67, -69, -43, -79, -24, 6, 36]
  Compare -43 and -79
  Swap -43 and -79
  List after swap: [-97, -67, -69, -79, -43, -24, 6, 36]
  Compare -43 and -24
  No swap needed

Pass 4:
  Compare -97 and -67
  No swap needed
  Compare -67 and -69
  Swap -67 and -69
  List after swap: [-97, -69, -67, -79, -43, -24, 6, 36]
  Compare -67 and -79
  Swap -67 and -79
  List after swap: [-97, -69, -79, -67, -43, -24, 6, 36]
  Compare -67 and -43
  No swap needed

Pass 5:
  Compare -97 and -69
  No swap needed
  Compare -69 and -79
  Swap -69 and -79
  List after swap: [-97, -79, -69, -67, -43, -24, 6, 36]
  Compare -69 and -67
  No swap needed

Pass 6:
  Compare -97 and -79
  No swap needed
  Compare -79 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -79, -69, -67, -43, -24, 6, 36]
</think>

<response>-97, -79, -69, -67, -43, -24, 6, 36</response>


input: Implement bubble sort on -66, 26, 58, 23, -78, 51, 53, 62 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-66, 26, 58, 23, -78, 51, 53, 62]

Pass 1:
  Compare -66 and 26
  No swap needed
  Compare 26 and 58
  No swap needed
  Compare 58 and 23
  Swap 58 and 23
  List after swap: [-66, 26, 23, 58, -78, 51, 53, 62]
  Compare 58 and -78
  Swap 58 and -78
  List after swap: [-66, 26, 23, -78, 58, 51, 53, 62]
  Compare 58 and 51
  Swap 58 and 51
  List after swap: [-66, 26, 23, -78, 51, 58, 53, 62]
  Compare 58 and 53
  Swap 58 and 53
  List after swap: [-66, 26, 23, -78, 51, 53, 58, 62]
  Compare 58 and 62
  No swap needed

Pass 2:
  Compare -66 and 26
  No swap needed
  Compare 26 and 23
  Swap 26 and 23
  List after swap: [-66, 23, 26, -78, 51, 53, 58, 62]
  Compare 26 and -78
  Swap 26 and -78
  List after swap: [-66, 23, -78, 26, 51, 53, 58, 62]
  Compare 26 and 51
  No swap needed
  Compare 51 and 53
  No swap needed
  Compare 53 and 58
  No swap needed

Pass 3:
  Compare -66 and 23
  No swap needed
  Compare 23 and -78
  Swap 23 and -78
  List after swap: [-66, -78, 23, 26, 51, 53, 58, 62]
  Compare 23 and 26
  No swap needed
  Compare 26 and 51
  No swap needed
  Compare 51 and 53
  No swap needed

Pass 4:
  Compare -66 and -78
  Swap -66 and -78
  List after swap: [-78, -66, 23, 26, 51, 53, 58, 62]
  Compare -66 and 23
  No swap needed
  Compare 23 and 26
  No swap needed
  Compare 26 and 51
  No swap needed

Pass 5:
  Compare -78 and -66
  No swap needed
  Compare -66 and 23
  No swap needed
  Compare 23 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -66, 23, 26, 51, 53, 58, 62]
</think>

<response>-78, -66, 23, 26, 51, 53, 58, 62</response>


input: Sort these integers 97, 9, -8, -98, 0, -67, 63 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [97, 9, -8, -98, 0, -67, 63]

Pass 1:
  Compare 97 and 9
  Swap 97 and 9
  List after swap: [9, 97, -8, -98, 0, -67, 63]
  Compare 97 and -8
  Swap 97 and -8
  List after swap: [9, -8, 97, -98, 0, -67, 63]
  Compare 97 and -98
  Swap 97 and -98
  List after swap: [9, -8, -98, 97, 0, -67, 63]
  Compare 97 and 0
  Swap 97 and 0
  List after swap: [9, -8, -98, 0, 97, -67, 63]
  Compare 97 and -67
  Swap 97 and -67
  List after swap: [9, -8, -98, 0, -67, 97, 63]
  Compare 97 and 63
  Swap 97 and 63
  List after swap: [9, -8, -98, 0, -67, 63, 97]

Pass 2:
  Compare 9 and -8
  Swap 9 and -8
  List after swap: [-8, 9, -98, 0, -67, 63, 97]
  Compare 9 and -98
  Swap 9 and -98
  List after swap: [-8, -98, 9, 0, -67, 63, 97]
  Compare 9 and 0
  Swap 9 and 0
  List after swap: [-8, -98, 0, 9, -67, 63, 97]
  Compare 9 and -67
  Swap 9 and -67
  List after swap: [-8, -98, 0, -67, 9, 63, 97]
  Compare 9 and 63
  No swap needed

Pass 3:
  Compare -8 and -98
  Swap -8 and -98
  List after swap: [-98, -8, 0, -67, 9, 63, 97]
  Compare -8 and 0
  No swap needed
  Compare 0 and -67
  Swap 0 and -67
  List after swap: [-98, -8, -67, 0, 9, 63, 97]
  Compare 0 and 9
  No swap needed

Pass 4:
  Compare -98 and -8
  No swap needed
  Compare -8 and -67
  Swap -8 and -67
  List after swap: [-98, -67, -8, 0, 9, 63, 97]
  Compare -8 and 0
  No swap needed

Pass 5:
  Compare -98 and -67
  No swap needed
  Compare -67 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -67, -8, 0, 9, 63, 97]
</think>

<response>-98, -67, -8, 0, 9, 63, 97</response>


input: Using the bubble sort method, sort -98, 52, 39, -55, -81, -9 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-98, 52, 39, -55, -81, -9]

Pass 1:
  Compare -98 and 52
  No swap needed
  Compare 52 and 39
  Swap 52 and 39
  List after swap: [-98, 39, 52, -55, -81, -9]
  Compare 52 and -55
  Swap 52 and -55
  List after swap: [-98, 39, -55, 52, -81, -9]
  Compare 52 and -81
  Swap 52 and -81
  List after swap: [-98, 39, -55, -81, 52, -9]
  Compare 52 and -9
  Swap 52 and -9
  List after swap: [-98, 39, -55, -81, -9, 52]

Pass 2:
  Compare -98 and 39
  No swap needed
  Compare 39 and -55
  Swap 39 and -55
  List after swap: [-98, -55, 39, -81, -9, 52]
  Compare 39 and -81
  Swap 39 and -81
  List after swap: [-98, -55, -81, 39, -9, 52]
  Compare 39 and -9
  Swap 39 and -9
  List after swap: [-98, -55, -81, -9, 39, 52]

Pass 3:
  Compare -98 and -55
  No swap needed
  Compare -55 and -81
  Swap -55 and -81
  List after swap: [-98, -81, -55, -9, 39, 52]
  Compare -55 and -9
  No swap needed

Pass 4:
  Compare -98 and -81
  No swap needed
  Compare -81 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -81, -55, -9, 39, 52]
</think>

<response>-98, -81, -55, -9, 39, 52</response>


input: Sort the list 43, 38, 77, -19 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [43, 38, 77, -19]

Pass 1:
  Compare 43 and 38
  Swap 43 and 38
  List after swap: [38, 43, 77, -19]
  Compare 43 and 77
  No swap needed
  Compare 77 and -19
  Swap 77 and -19
  List after swap: [38, 43, -19, 77]

Pass 2:
  Compare 38 and 43
  No swap needed
  Compare 43 and -19
  Swap 43 and -19
  List after swap: [38, -19, 43, 77]

Pass 3:
  Compare 38 and -19
  Swap 38 and -19
  List after swap: [-19, 38, 43, 77]

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

Final sorted list: [-19, 38, 43, 77]
</think>

<response>-19, 38, 43, 77</response>