input: Implement bubble sort on 52, 9, 89, -38, 35 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [52, 9, 89, -38, 35]

Pass 1:
  Compare 52 and 9
  Swap 52 and 9
  List after swap: [9, 52, 89, -38, 35]
  Compare 52 and 89
  No swap needed
  Compare 89 and -38
  Swap 89 and -38
  List after swap: [9, 52, -38, 89, 35]
  Compare 89 and 35
  Swap 89 and 35
  List after swap: [9, 52, -38, 35, 89]

Pass 2:
  Compare 9 and 52
  No swap needed
  Compare 52 and -38
  Swap 52 and -38
  List after swap: [9, -38, 52, 35, 89]
  Compare 52 and 35
  Swap 52 and 35
  List after swap: [9, -38, 35, 52, 89]

Pass 3:
  Compare 9 and -38
  Swap 9 and -38
  List after swap: [-38, 9, 35, 52, 89]
  Compare 9 and 35
  No swap needed

Pass 4:
  Compare -38 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, 9, 35, 52, 89]
</think>

<response>-38, 9, 35, 52, 89</response>


input: Sort these integers 41, 13, 63, 27, 23, -2 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [41, 13, 63, 27, 23, -2]

Pass 1:
  Compare 41 and 13
  Swap 41 and 13
  List after swap: [13, 41, 63, 27, 23, -2]
  Compare 41 and 63
  No swap needed
  Compare 63 and 27
  Swap 63 and 27
  List after swap: [13, 41, 27, 63, 23, -2]
  Compare 63 and 23
  Swap 63 and 23
  List after swap: [13, 41, 27, 23, 63, -2]
  Compare 63 and -2
  Swap 63 and -2
  List after swap: [13, 41, 27, 23, -2, 63]

Pass 2:
  Compare 13 and 41
  No swap needed
  Compare 41 and 27
  Swap 41 and 27
  List after swap: [13, 27, 41, 23, -2, 63]
  Compare 41 and 23
  Swap 41 and 23
  List after swap: [13, 27, 23, 41, -2, 63]
  Compare 41 and -2
  Swap 41 and -2
  List after swap: [13, 27, 23, -2, 41, 63]

Pass 3:
  Compare 13 and 27
  No swap needed
  Compare 27 and 23
  Swap 27 and 23
  List after swap: [13, 23, 27, -2, 41, 63]
  Compare 27 and -2
  Swap 27 and -2
  List after swap: [13, 23, -2, 27, 41, 63]

Pass 4:
  Compare 13 and 23
  No swap needed
  Compare 23 and -2
  Swap 23 and -2
  List after swap: [13, -2, 23, 27, 41, 63]

Pass 5:
  Compare 13 and -2
  Swap 13 and -2
  List after swap: [-2, 13, 23, 27, 41, 63]

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

Final sorted list: [-2, 13, 23, 27, 41, 63]
</think>

<response>-2, 13, 23, 27, 41, 63</response>


input: Use the bubble sort technique to reorder 32, -95, 27 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [32, -95, 27]

Pass 1:
  Compare 32 and -95
  Swap 32 and -95
  List after swap: [-95, 32, 27]
  Compare 32 and 27
  Swap 32 and 27
  List after swap: [-95, 27, 32]

Pass 2:
  Compare -95 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, 27, 32]
</think>

<response>-95, 27, 32</response>


input: Use the bubble sort technique to reorder 69, 93, -68, 42, -38, 16, 27, -2 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [69, 93, -68, 42, -38, 16, 27, -2]

Pass 1:
  Compare 69 and 93
  No swap needed
  Compare 93 and -68
  Swap 93 and -68
  List after swap: [69, -68, 93, 42, -38, 16, 27, -2]
  Compare 93 and 42
  Swap 93 and 42
  List after swap: [69, -68, 42, 93, -38, 16, 27, -2]
  Compare 93 and -38
  Swap 93 and -38
  List after swap: [69, -68, 42, -38, 93, 16, 27, -2]
  Compare 93 and 16
  Swap 93 and 16
  List after swap: [69, -68, 42, -38, 16, 93, 27, -2]
  Compare 93 and 27
  Swap 93 and 27
  List after swap: [69, -68, 42, -38, 16, 27, 93, -2]
  Compare 93 and -2
  Swap 93 and -2
  List after swap: [69, -68, 42, -38, 16, 27, -2, 93]

Pass 2:
  Compare 69 and -68
  Swap 69 and -68
  List after swap: [-68, 69, 42, -38, 16, 27, -2, 93]
  Compare 69 and 42
  Swap 69 and 42
  List after swap: [-68, 42, 69, -38, 16, 27, -2, 93]
  Compare 69 and -38
  Swap 69 and -38
  List after swap: [-68, 42, -38, 69, 16, 27, -2, 93]
  Compare 69 and 16
  Swap 69 and 16
  List after swap: [-68, 42, -38, 16, 69, 27, -2, 93]
  Compare 69 and 27
  Swap 69 and 27
  List after swap: [-68, 42, -38, 16, 27, 69, -2, 93]
  Compare 69 and -2
  Swap 69 and -2
  List after swap: [-68, 42, -38, 16, 27, -2, 69, 93]

Pass 3:
  Compare -68 and 42
  No swap needed
  Compare 42 and -38
  Swap 42 and -38
  List after swap: [-68, -38, 42, 16, 27, -2, 69, 93]
  Compare 42 and 16
  Swap 42 and 16
  List after swap: [-68, -38, 16, 42, 27, -2, 69, 93]
  Compare 42 and 27
  Swap 42 and 27
  List after swap: [-68, -38, 16, 27, 42, -2, 69, 93]
  Compare 42 and -2
  Swap 42 and -2
  List after swap: [-68, -38, 16, 27, -2, 42, 69, 93]

Pass 4:
  Compare -68 and -38
  No swap needed
  Compare -38 and 16
  No swap needed
  Compare 16 and 27
  No swap needed
  Compare 27 and -2
  Swap 27 and -2
  List after swap: [-68, -38, 16, -2, 27, 42, 69, 93]

Pass 5:
  Compare -68 and -38
  No swap needed
  Compare -38 and 16
  No swap needed
  Compare 16 and -2
  Swap 16 and -2
  List after swap: [-68, -38, -2, 16, 27, 42, 69, 93]

Pass 6:
  Compare -68 and -38
  No swap needed
  Compare -38 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -38, -2, 16, 27, 42, 69, 93]
</think>

<response>-68, -38, -2, 16, 27, 42, 69, 93</response>


input: Using the bubble sort method, sort 46, -63, 86, -4, 88, -67, 17, 55, -56, -64 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [46, -63, 86, -4, 88, -67, 17, 55, -56, -64]

Pass 1:
  Compare 46 and -63
  Swap 46 and -63
  List after swap: [-63, 46, 86, -4, 88, -67, 17, 55, -56, -64]
  Compare 46 and 86
  No swap needed
  Compare 86 and -4
  Swap 86 and -4
  List after swap: [-63, 46, -4, 86, 88, -67, 17, 55, -56, -64]
  Compare 86 and 88
  No swap needed
  Compare 88 and -67
  Swap 88 and -67
  List after swap: [-63, 46, -4, 86, -67, 88, 17, 55, -56, -64]
  Compare 88 and 17
  Swap 88 and 17
  List after swap: [-63, 46, -4, 86, -67, 17, 88, 55, -56, -64]
  Compare 88 and 55
  Swap 88 and 55
  List after swap: [-63, 46, -4, 86, -67, 17, 55, 88, -56, -64]
  Compare 88 and -56
  Swap 88 and -56
  List after swap: [-63, 46, -4, 86, -67, 17, 55, -56, 88, -64]
  Compare 88 and -64
  Swap 88 and -64
  List after swap: [-63, 46, -4, 86, -67, 17, 55, -56, -64, 88]

Pass 2:
  Compare -63 and 46
  No swap needed
  Compare 46 and -4
  Swap 46 and -4
  List after swap: [-63, -4, 46, 86, -67, 17, 55, -56, -64, 88]
  Compare 46 and 86
  No swap needed
  Compare 86 and -67
  Swap 86 and -67
  List after swap: [-63, -4, 46, -67, 86, 17, 55, -56, -64, 88]
  Compare 86 and 17
  Swap 86 and 17
  List after swap: [-63, -4, 46, -67, 17, 86, 55, -56, -64, 88]
  Compare 86 and 55
  Swap 86 and 55
  List after swap: [-63, -4, 46, -67, 17, 55, 86, -56, -64, 88]
  Compare 86 and -56
  Swap 86 and -56
  List after swap: [-63, -4, 46, -67, 17, 55, -56, 86, -64, 88]
  Compare 86 and -64
  Swap 86 and -64
  List after swap: [-63, -4, 46, -67, 17, 55, -56, -64, 86, 88]

Pass 3:
  Compare -63 and -4
  No swap needed
  Compare -4 and 46
  No swap needed
  Compare 46 and -67
  Swap 46 and -67
  List after swap: [-63, -4, -67, 46, 17, 55, -56, -64, 86, 88]
  Compare 46 and 17
  Swap 46 and 17
  List after swap: [-63, -4, -67, 17, 46, 55, -56, -64, 86, 88]
  Compare 46 and 55
  No swap needed
  Compare 55 and -56
  Swap 55 and -56
  List after swap: [-63, -4, -67, 17, 46, -56, 55, -64, 86, 88]
  Compare 55 and -64
  Swap 55 and -64
  List after swap: [-63, -4, -67, 17, 46, -56, -64, 55, 86, 88]

Pass 4:
  Compare -63 and -4
  No swap needed
  Compare -4 and -67
  Swap -4 and -67
  List after swap: [-63, -67, -4, 17, 46, -56, -64, 55, 86, 88]
  Compare -4 and 17
  No swap needed
  Compare 17 and 46
  No swap needed
  Compare 46 and -56
  Swap 46 and -56
  List after swap: [-63, -67, -4, 17, -56, 46, -64, 55, 86, 88]
  Compare 46 and -64
  Swap 46 and -64
  List after swap: [-63, -67, -4, 17, -56, -64, 46, 55, 86, 88]

Pass 5:
  Compare -63 and -67
  Swap -63 and -67
  List after swap: [-67, -63, -4, 17, -56, -64, 46, 55, 86, 88]
  Compare -63 and -4
  No swap needed
  Compare -4 and 17
  No swap needed
  Compare 17 and -56
  Swap 17 and -56
  List after swap: [-67, -63, -4, -56, 17, -64, 46, 55, 86, 88]
  Compare 17 and -64
  Swap 17 and -64
  List after swap: [-67, -63, -4, -56, -64, 17, 46, 55, 86, 88]

Pass 6:
  Compare -67 and -63
  No swap needed
  Compare -63 and -4
  No swap needed
  Compare -4 and -56
  Swap -4 and -56
  List after swap: [-67, -63, -56, -4, -64, 17, 46, 55, 86, 88]
  Compare -4 and -64
  Swap -4 and -64
  List after swap: [-67, -63, -56, -64, -4, 17, 46, 55, 86, 88]

Pass 7:
  Compare -67 and -63
  No swap needed
  Compare -63 and -56
  No swap needed
  Compare -56 and -64
  Swap -56 and -64
  List after swap: [-67, -63, -64, -56, -4, 17, 46, 55, 86, 88]

Pass 8:
  Compare -67 and -63
  No swap needed
  Compare -63 and -64
  Swap -63 and -64
  List after swap: [-67, -64, -63, -56, -4, 17, 46, 55, 86, 88]

Pass 9:
  Compare -67 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -64, -63, -56, -4, 17, 46, 55, 86, 88]
</think>

<response>-67, -64, -63, -56, -4, 17, 46, 55, 86, 88</response>


input: Using the bubble sort method, sort -95, -70, 73 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-95, -70, 73]

Pass 1:
  Compare -95 and -70
  No swap needed
  Compare -70 and 73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -70, 73]
</think>

<response>-95, -70, 73</response>


input: Use the bubble sort technique to reorder 34, -33, 70, 65, -9, 72, 5, -45 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [34, -33, 70, 65, -9, 72, 5, -45]

Pass 1:
  Compare 34 and -33
  Swap 34 and -33
  List after swap: [-33, 34, 70, 65, -9, 72, 5, -45]
  Compare 34 and 70
  No swap needed
  Compare 70 and 65
  Swap 70 and 65
  List after swap: [-33, 34, 65, 70, -9, 72, 5, -45]
  Compare 70 and -9
  Swap 70 and -9
  List after swap: [-33, 34, 65, -9, 70, 72, 5, -45]
  Compare 70 and 72
  No swap needed
  Compare 72 and 5
  Swap 72 and 5
  List after swap: [-33, 34, 65, -9, 70, 5, 72, -45]
  Compare 72 and -45
  Swap 72 and -45
  List after swap: [-33, 34, 65, -9, 70, 5, -45, 72]

Pass 2:
  Compare -33 and 34
  No swap needed
  Compare 34 and 65
  No swap needed
  Compare 65 and -9
  Swap 65 and -9
  List after swap: [-33, 34, -9, 65, 70, 5, -45, 72]
  Compare 65 and 70
  No swap needed
  Compare 70 and 5
  Swap 70 and 5
  List after swap: [-33, 34, -9, 65, 5, 70, -45, 72]
  Compare 70 and -45
  Swap 70 and -45
  List after swap: [-33, 34, -9, 65, 5, -45, 70, 72]

Pass 3:
  Compare -33 and 34
  No swap needed
  Compare 34 and -9
  Swap 34 and -9
  List after swap: [-33, -9, 34, 65, 5, -45, 70, 72]
  Compare 34 and 65
  No swap needed
  Compare 65 and 5
  Swap 65 and 5
  List after swap: [-33, -9, 34, 5, 65, -45, 70, 72]
  Compare 65 and -45
  Swap 65 and -45
  List after swap: [-33, -9, 34, 5, -45, 65, 70, 72]

Pass 4:
  Compare -33 and -9
  No swap needed
  Compare -9 and 34
  No swap needed
  Compare 34 and 5
  Swap 34 and 5
  List after swap: [-33, -9, 5, 34, -45, 65, 70, 72]
  Compare 34 and -45
  Swap 34 and -45
  List after swap: [-33, -9, 5, -45, 34, 65, 70, 72]

Pass 5:
  Compare -33 and -9
  No swap needed
  Compare -9 and 5
  No swap needed
  Compare 5 and -45
  Swap 5 and -45
  List after swap: [-33, -9, -45, 5, 34, 65, 70, 72]

Pass 6:
  Compare -33 and -9
  No swap needed
  Compare -9 and -45
  Swap -9 and -45
  List after swap: [-33, -45, -9, 5, 34, 65, 70, 72]

Pass 7:
  Compare -33 and -45
  Swap -33 and -45
  List after swap: [-45, -33, -9, 5, 34, 65, 70, 72]

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

Final sorted list: [-45, -33, -9, 5, 34, 65, 70, 72]
</think>

<response>-45, -33, -9, 5, 34, 65, 70, 72</response>


input: Carry out the bubble sort algorithm on -78, 86, -35, 11, 52, -32, -71, 91 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-78, 86, -35, 11, 52, -32, -71, 91]

Pass 1:
  Compare -78 and 86
  No swap needed
  Compare 86 and -35
  Swap 86 and -35
  List after swap: [-78, -35, 86, 11, 52, -32, -71, 91]
  Compare 86 and 11
  Swap 86 and 11
  List after swap: [-78, -35, 11, 86, 52, -32, -71, 91]
  Compare 86 and 52
  Swap 86 and 52
  List after swap: [-78, -35, 11, 52, 86, -32, -71, 91]
  Compare 86 and -32
  Swap 86 and -32
  List after swap: [-78, -35, 11, 52, -32, 86, -71, 91]
  Compare 86 and -71
  Swap 86 and -71
  List after swap: [-78, -35, 11, 52, -32, -71, 86, 91]
  Compare 86 and 91
  No swap needed

Pass 2:
  Compare -78 and -35
  No swap needed
  Compare -35 and 11
  No swap needed
  Compare 11 and 52
  No swap needed
  Compare 52 and -32
  Swap 52 and -32
  List after swap: [-78, -35, 11, -32, 52, -71, 86, 91]
  Compare 52 and -71
  Swap 52 and -71
  List after swap: [-78, -35, 11, -32, -71, 52, 86, 91]
  Compare 52 and 86
  No swap needed

Pass 3:
  Compare -78 and -35
  No swap needed
  Compare -35 and 11
  No swap needed
  Compare 11 and -32
  Swap 11 and -32
  List after swap: [-78, -35, -32, 11, -71, 52, 86, 91]
  Compare 11 and -71
  Swap 11 and -71
  List after swap: [-78, -35, -32, -71, 11, 52, 86, 91]
  Compare 11 and 52
  No swap needed

Pass 4:
  Compare -78 and -35
  No swap needed
  Compare -35 and -32
  No swap needed
  Compare -32 and -71
  Swap -32 and -71
  List after swap: [-78, -35, -71, -32, 11, 52, 86, 91]
  Compare -32 and 11
  No swap needed

Pass 5:
  Compare -78 and -35
  No swap needed
  Compare -35 and -71
  Swap -35 and -71
  List after swap: [-78, -71, -35, -32, 11, 52, 86, 91]
  Compare -35 and -32
  No swap needed

Pass 6:
  Compare -78 and -71
  No swap needed
  Compare -71 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -71, -35, -32, 11, 52, 86, 91]
</think>

<response>-78, -71, -35, -32, 11, 52, 86, 91</response>


input: Arrange the numbers 81, -74, -32, 36, -49, -90, 82, 32, 40, -76 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [81, -74, -32, 36, -49, -90, 82, 32, 40, -76]

Pass 1:
  Compare 81 and -74
  Swap 81 and -74
  List after swap: [-74, 81, -32, 36, -49, -90, 82, 32, 40, -76]
  Compare 81 and -32
  Swap 81 and -32
  List after swap: [-74, -32, 81, 36, -49, -90, 82, 32, 40, -76]
  Compare 81 and 36
  Swap 81 and 36
  List after swap: [-74, -32, 36, 81, -49, -90, 82, 32, 40, -76]
  Compare 81 and -49
  Swap 81 and -49
  List after swap: [-74, -32, 36, -49, 81, -90, 82, 32, 40, -76]
  Compare 81 and -90
  Swap 81 and -90
  List after swap: [-74, -32, 36, -49, -90, 81, 82, 32, 40, -76]
  Compare 81 and 82
  No swap needed
  Compare 82 and 32
  Swap 82 and 32
  List after swap: [-74, -32, 36, -49, -90, 81, 32, 82, 40, -76]
  Compare 82 and 40
  Swap 82 and 40
  List after swap: [-74, -32, 36, -49, -90, 81, 32, 40, 82, -76]
  Compare 82 and -76
  Swap 82 and -76
  List after swap: [-74, -32, 36, -49, -90, 81, 32, 40, -76, 82]

Pass 2:
  Compare -74 and -32
  No swap needed
  Compare -32 and 36
  No swap needed
  Compare 36 and -49
  Swap 36 and -49
  List after swap: [-74, -32, -49, 36, -90, 81, 32, 40, -76, 82]
  Compare 36 and -90
  Swap 36 and -90
  List after swap: [-74, -32, -49, -90, 36, 81, 32, 40, -76, 82]
  Compare 36 and 81
  No swap needed
  Compare 81 and 32
  Swap 81 and 32
  List after swap: [-74, -32, -49, -90, 36, 32, 81, 40, -76, 82]
  Compare 81 and 40
  Swap 81 and 40
  List after swap: [-74, -32, -49, -90, 36, 32, 40, 81, -76, 82]
  Compare 81 and -76
  Swap 81 and -76
  List after swap: [-74, -32, -49, -90, 36, 32, 40, -76, 81, 82]

Pass 3:
  Compare -74 and -32
  No swap needed
  Compare -32 and -49
  Swap -32 and -49
  List after swap: [-74, -49, -32, -90, 36, 32, 40, -76, 81, 82]
  Compare -32 and -90
  Swap -32 and -90
  List after swap: [-74, -49, -90, -32, 36, 32, 40, -76, 81, 82]
  Compare -32 and 36
  No swap needed
  Compare 36 and 32
  Swap 36 and 32
  List after swap: [-74, -49, -90, -32, 32, 36, 40, -76, 81, 82]
  Compare 36 and 40
  No swap needed
  Compare 40 and -76
  Swap 40 and -76
  List after swap: [-74, -49, -90, -32, 32, 36, -76, 40, 81, 82]

Pass 4:
  Compare -74 and -49
  No swap needed
  Compare -49 and -90
  Swap -49 and -90
  List after swap: [-74, -90, -49, -32, 32, 36, -76, 40, 81, 82]
  Compare -49 and -32
  No swap needed
  Compare -32 and 32
  No swap needed
  Compare 32 and 36
  No swap needed
  Compare 36 and -76
  Swap 36 and -76
  List after swap: [-74, -90, -49, -32, 32, -76, 36, 40, 81, 82]

Pass 5:
  Compare -74 and -90
  Swap -74 and -90
  List after swap: [-90, -74, -49, -32, 32, -76, 36, 40, 81, 82]
  Compare -74 and -49
  No swap needed
  Compare -49 and -32
  No swap needed
  Compare -32 and 32
  No swap needed
  Compare 32 and -76
  Swap 32 and -76
  List after swap: [-90, -74, -49, -32, -76, 32, 36, 40, 81, 82]

Pass 6:
  Compare -90 and -74
  No swap needed
  Compare -74 and -49
  No swap needed
  Compare -49 and -32
  No swap needed
  Compare -32 and -76
  Swap -32 and -76
  List after swap: [-90, -74, -49, -76, -32, 32, 36, 40, 81, 82]

Pass 7:
  Compare -90 and -74
  No swap needed
  Compare -74 and -49
  No swap needed
  Compare -49 and -76
  Swap -49 and -76
  List after swap: [-90, -74, -76, -49, -32, 32, 36, 40, 81, 82]

Pass 8:
  Compare -90 and -74
  No swap needed
  Compare -74 and -76
  Swap -74 and -76
  List after swap: [-90, -76, -74, -49, -32, 32, 36, 40, 81, 82]

Pass 9:
  Compare -90 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -76, -74, -49, -32, 32, 36, 40, 81, 82]
</think>

<response>-90, -76, -74, -49, -32, 32, 36, 40, 81, 82</response>


input: Using the bubble sort method, sort 69, 86, 5, 31, 9, -100, 24, -79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [69, 86, 5, 31, 9, -100, 24, -79]

Pass 1:
  Compare 69 and 86
  No swap needed
  Compare 86 and 5
  Swap 86 and 5
  List after swap: [69, 5, 86, 31, 9, -100, 24, -79]
  Compare 86 and 31
  Swap 86 and 31
  List after swap: [69, 5, 31, 86, 9, -100, 24, -79]
  Compare 86 and 9
  Swap 86 and 9
  List after swap: [69, 5, 31, 9, 86, -100, 24, -79]
  Compare 86 and -100
  Swap 86 and -100
  List after swap: [69, 5, 31, 9, -100, 86, 24, -79]
  Compare 86 and 24
  Swap 86 and 24
  List after swap: [69, 5, 31, 9, -100, 24, 86, -79]
  Compare 86 and -79
  Swap 86 and -79
  List after swap: [69, 5, 31, 9, -100, 24, -79, 86]

Pass 2:
  Compare 69 and 5
  Swap 69 and 5
  List after swap: [5, 69, 31, 9, -100, 24, -79, 86]
  Compare 69 and 31
  Swap 69 and 31
  List after swap: [5, 31, 69, 9, -100, 24, -79, 86]
  Compare 69 and 9
  Swap 69 and 9
  List after swap: [5, 31, 9, 69, -100, 24, -79, 86]
  Compare 69 and -100
  Swap 69 and -100
  List after swap: [5, 31, 9, -100, 69, 24, -79, 86]
  Compare 69 and 24
  Swap 69 and 24
  List after swap: [5, 31, 9, -100, 24, 69, -79, 86]
  Compare 69 and -79
  Swap 69 and -79
  List after swap: [5, 31, 9, -100, 24, -79, 69, 86]

Pass 3:
  Compare 5 and 31
  No swap needed
  Compare 31 and 9
  Swap 31 and 9
  List after swap: [5, 9, 31, -100, 24, -79, 69, 86]
  Compare 31 and -100
  Swap 31 and -100
  List after swap: [5, 9, -100, 31, 24, -79, 69, 86]
  Compare 31 and 24
  Swap 31 and 24
  List after swap: [5, 9, -100, 24, 31, -79, 69, 86]
  Compare 31 and -79
  Swap 31 and -79
  List after swap: [5, 9, -100, 24, -79, 31, 69, 86]

Pass 4:
  Compare 5 and 9
  No swap needed
  Compare 9 and -100
  Swap 9 and -100
  List after swap: [5, -100, 9, 24, -79, 31, 69, 86]
  Compare 9 and 24
  No swap needed
  Compare 24 and -79
  Swap 24 and -79
  List after swap: [5, -100, 9, -79, 24, 31, 69, 86]

Pass 5:
  Compare 5 and -100
  Swap 5 and -100
  List after swap: [-100, 5, 9, -79, 24, 31, 69, 86]
  Compare 5 and 9
  No swap needed
  Compare 9 and -79
  Swap 9 and -79
  List after swap: [-100, 5, -79, 9, 24, 31, 69, 86]

Pass 6:
  Compare -100 and 5
  No swap needed
  Compare 5 and -79
  Swap 5 and -79
  List after swap: [-100, -79, 5, 9, 24, 31, 69, 86]

Pass 7:
  Compare -100 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -79, 5, 9, 24, 31, 69, 86]
</think>

<response>-100, -79, 5, 9, 24, 31, 69, 86</response>


input: Using the bubble sort method, sort 85, 12, 21, 52, -32, -97, 93, 41 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [85, 12, 21, 52, -32, -97, 93, 41]

Pass 1:
  Compare 85 and 12
  Swap 85 and 12
  List after swap: [12, 85, 21, 52, -32, -97, 93, 41]
  Compare 85 and 21
  Swap 85 and 21
  List after swap: [12, 21, 85, 52, -32, -97, 93, 41]
  Compare 85 and 52
  Swap 85 and 52
  List after swap: [12, 21, 52, 85, -32, -97, 93, 41]
  Compare 85 and -32
  Swap 85 and -32
  List after swap: [12, 21, 52, -32, 85, -97, 93, 41]
  Compare 85 and -97
  Swap 85 and -97
  List after swap: [12, 21, 52, -32, -97, 85, 93, 41]
  Compare 85 and 93
  No swap needed
  Compare 93 and 41
  Swap 93 and 41
  List after swap: [12, 21, 52, -32, -97, 85, 41, 93]

Pass 2:
  Compare 12 and 21
  No swap needed
  Compare 21 and 52
  No swap needed
  Compare 52 and -32
  Swap 52 and -32
  List after swap: [12, 21, -32, 52, -97, 85, 41, 93]
  Compare 52 and -97
  Swap 52 and -97
  List after swap: [12, 21, -32, -97, 52, 85, 41, 93]
  Compare 52 and 85
  No swap needed
  Compare 85 and 41
  Swap 85 and 41
  List after swap: [12, 21, -32, -97, 52, 41, 85, 93]

Pass 3:
  Compare 12 and 21
  No swap needed
  Compare 21 and -32
  Swap 21 and -32
  List after swap: [12, -32, 21, -97, 52, 41, 85, 93]
  Compare 21 and -97
  Swap 21 and -97
  List after swap: [12, -32, -97, 21, 52, 41, 85, 93]
  Compare 21 and 52
  No swap needed
  Compare 52 and 41
  Swap 52 and 41
  List after swap: [12, -32, -97, 21, 41, 52, 85, 93]

Pass 4:
  Compare 12 and -32
  Swap 12 and -32
  List after swap: [-32, 12, -97, 21, 41, 52, 85, 93]
  Compare 12 and -97
  Swap 12 and -97
  List after swap: [-32, -97, 12, 21, 41, 52, 85, 93]
  Compare 12 and 21
  No swap needed
  Compare 21 and 41
  No swap needed

Pass 5:
  Compare -32 and -97
  Swap -32 and -97
  List after swap: [-97, -32, 12, 21, 41, 52, 85, 93]
  Compare -32 and 12
  No swap needed
  Compare 12 and 21
  No swap needed

Pass 6:
  Compare -97 and -32
  No swap needed
  Compare -32 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -32, 12, 21, 41, 52, 85, 93]
</think>

<response>-97, -32, 12, 21, 41, 52, 85, 93</response>


input: Sort these integers -49, -2 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-49, -2]

Pass 1:
  Compare -49 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -2]
</think>

<response>-49, -2</response>


input: Using the bubble sort method, sort 36, 46, 82, -22, -35, -28, 40, -19 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [36, 46, 82, -22, -35, -28, 40, -19]

Pass 1:
  Compare 36 and 46
  No swap needed
  Compare 46 and 82
  No swap needed
  Compare 82 and -22
  Swap 82 and -22
  List after swap: [36, 46, -22, 82, -35, -28, 40, -19]
  Compare 82 and -35
  Swap 82 and -35
  List after swap: [36, 46, -22, -35, 82, -28, 40, -19]
  Compare 82 and -28
  Swap 82 and -28
  List after swap: [36, 46, -22, -35, -28, 82, 40, -19]
  Compare 82 and 40
  Swap 82 and 40
  List after swap: [36, 46, -22, -35, -28, 40, 82, -19]
  Compare 82 and -19
  Swap 82 and -19
  List after swap: [36, 46, -22, -35, -28, 40, -19, 82]

Pass 2:
  Compare 36 and 46
  No swap needed
  Compare 46 and -22
  Swap 46 and -22
  List after swap: [36, -22, 46, -35, -28, 40, -19, 82]
  Compare 46 and -35
  Swap 46 and -35
  List after swap: [36, -22, -35, 46, -28, 40, -19, 82]
  Compare 46 and -28
  Swap 46 and -28
  List after swap: [36, -22, -35, -28, 46, 40, -19, 82]
  Compare 46 and 40
  Swap 46 and 40
  List after swap: [36, -22, -35, -28, 40, 46, -19, 82]
  Compare 46 and -19
  Swap 46 and -19
  List after swap: [36, -22, -35, -28, 40, -19, 46, 82]

Pass 3:
  Compare 36 and -22
  Swap 36 and -22
  List after swap: [-22, 36, -35, -28, 40, -19, 46, 82]
  Compare 36 and -35
  Swap 36 and -35
  List after swap: [-22, -35, 36, -28, 40, -19, 46, 82]
  Compare 36 and -28
  Swap 36 and -28
  List after swap: [-22, -35, -28, 36, 40, -19, 46, 82]
  Compare 36 and 40
  No swap needed
  Compare 40 and -19
  Swap 40 and -19
  List after swap: [-22, -35, -28, 36, -19, 40, 46, 82]

Pass 4:
  Compare -22 and -35
  Swap -22 and -35
  List after swap: [-35, -22, -28, 36, -19, 40, 46, 82]
  Compare -22 and -28
  Swap -22 and -28
  List after swap: [-35, -28, -22, 36, -19, 40, 46, 82]
  Compare -22 and 36
  No swap needed
  Compare 36 and -19
  Swap 36 and -19
  List after swap: [-35, -28, -22, -19, 36, 40, 46, 82]

Pass 5:
  Compare -35 and -28
  No swap needed
  Compare -28 and -22
  No swap needed
  Compare -22 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -28, -22, -19, 36, 40, 46, 82]
</think>

<response>-35, -28, -22, -19, 36, 40, 46, 82</response>


input: Arrange the numbers 75, 82, -66, -5, 89, -37 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [75, 82, -66, -5, 89, -37]

Pass 1:
  Compare 75 and 82
  No swap needed
  Compare 82 and -66
  Swap 82 and -66
  List after swap: [75, -66, 82, -5, 89, -37]
  Compare 82 and -5
  Swap 82 and -5
  List after swap: [75, -66, -5, 82, 89, -37]
  Compare 82 and 89
  No swap needed
  Compare 89 and -37
  Swap 89 and -37
  List after swap: [75, -66, -5, 82, -37, 89]

Pass 2:
  Compare 75 and -66
  Swap 75 and -66
  List after swap: [-66, 75, -5, 82, -37, 89]
  Compare 75 and -5
  Swap 75 and -5
  List after swap: [-66, -5, 75, 82, -37, 89]
  Compare 75 and 82
  No swap needed
  Compare 82 and -37
  Swap 82 and -37
  List after swap: [-66, -5, 75, -37, 82, 89]

Pass 3:
  Compare -66 and -5
  No swap needed
  Compare -5 and 75
  No swap needed
  Compare 75 and -37
  Swap 75 and -37
  List after swap: [-66, -5, -37, 75, 82, 89]

Pass 4:
  Compare -66 and -5
  No swap needed
  Compare -5 and -37
  Swap -5 and -37
  List after swap: [-66, -37, -5, 75, 82, 89]

Pass 5:
  Compare -66 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -37, -5, 75, 82, 89]
</think>

<response>-66, -37, -5, 75, 82, 89</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 70, -88, 68, 0, -69, 3, 78, 14, -19.

output:
<think>
Initial list: [70, -88, 68, 0, -69, 3, 78, 14, -19]

Pass 1:
  Compare 70 and -88
  Swap 70 and -88
  List after swap: [-88, 70, 68, 0, -69, 3, 78, 14, -19]
  Compare 70 and 68
  Swap 70 and 68
  List after swap: [-88, 68, 70, 0, -69, 3, 78, 14, -19]
  Compare 70 and 0
  Swap 70 and 0
  List after swap: [-88, 68, 0, 70, -69, 3, 78, 14, -19]
  Compare 70 and -69
  Swap 70 and -69
  List after swap: [-88, 68, 0, -69, 70, 3, 78, 14, -19]
  Compare 70 and 3
  Swap 70 and 3
  List after swap: [-88, 68, 0, -69, 3, 70, 78, 14, -19]
  Compare 70 and 78
  No swap needed
  Compare 78 and 14
  Swap 78 and 14
  List after swap: [-88, 68, 0, -69, 3, 70, 14, 78, -19]
  Compare 78 and -19
  Swap 78 and -19
  List after swap: [-88, 68, 0, -69, 3, 70, 14, -19, 78]

Pass 2:
  Compare -88 and 68
  No swap needed
  Compare 68 and 0
  Swap 68 and 0
  List after swap: [-88, 0, 68, -69, 3, 70, 14, -19, 78]
  Compare 68 and -69
  Swap 68 and -69
  List after swap: [-88, 0, -69, 68, 3, 70, 14, -19, 78]
  Compare 68 and 3
  Swap 68 and 3
  List after swap: [-88, 0, -69, 3, 68, 70, 14, -19, 78]
  Compare 68 and 70
  No swap needed
  Compare 70 and 14
  Swap 70 and 14
  List after swap: [-88, 0, -69, 3, 68, 14, 70, -19, 78]
  Compare 70 and -19
  Swap 70 and -19
  List after swap: [-88, 0, -69, 3, 68, 14, -19, 70, 78]

Pass 3:
  Compare -88 and 0
  No swap needed
  Compare 0 and -69
  Swap 0 and -69
  List after swap: [-88, -69, 0, 3, 68, 14, -19, 70, 78]
  Compare 0 and 3
  No swap needed
  Compare 3 and 68
  No swap needed
  Compare 68 and 14
  Swap 68 and 14
  List after swap: [-88, -69, 0, 3, 14, 68, -19, 70, 78]
  Compare 68 and -19
  Swap 68 and -19
  List after swap: [-88, -69, 0, 3, 14, -19, 68, 70, 78]

Pass 4:
  Compare -88 and -69
  No swap needed
  Compare -69 and 0
  No swap needed
  Compare 0 and 3
  No swap needed
  Compare 3 and 14
  No swap needed
  Compare 14 and -19
  Swap 14 and -19
  List after swap: [-88, -69, 0, 3, -19, 14, 68, 70, 78]

Pass 5:
  Compare -88 and -69
  No swap needed
  Compare -69 and 0
  No swap needed
  Compare 0 and 3
  No swap needed
  Compare 3 and -19
  Swap 3 and -19
  List after swap: [-88, -69, 0, -19, 3, 14, 68, 70, 78]

Pass 6:
  Compare -88 and -69
  No swap needed
  Compare -69 and 0
  No swap needed
  Compare 0 and -19
  Swap 0 and -19
  List after swap: [-88, -69, -19, 0, 3, 14, 68, 70, 78]

Pass 7:
  Compare -88 and -69
  No swap needed
  Compare -69 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -69, -19, 0, 3, 14, 68, 70, 78]
</think>

<response>-88, -69, -19, 0, 3, 14, 68, 70, 78</response>


input: Implement bubble sort on 9, 6, 68, -73, -34, -6 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [9, 6, 68, -73, -34, -6]

Pass 1:
  Compare 9 and 6
  Swap 9 and 6
  List after swap: [6, 9, 68, -73, -34, -6]
  Compare 9 and 68
  No swap needed
  Compare 68 and -73
  Swap 68 and -73
  List after swap: [6, 9, -73, 68, -34, -6]
  Compare 68 and -34
  Swap 68 and -34
  List after swap: [6, 9, -73, -34, 68, -6]
  Compare 68 and -6
  Swap 68 and -6
  List after swap: [6, 9, -73, -34, -6, 68]

Pass 2:
  Compare 6 and 9
  No swap needed
  Compare 9 and -73
  Swap 9 and -73
  List after swap: [6, -73, 9, -34, -6, 68]
  Compare 9 and -34
  Swap 9 and -34
  List after swap: [6, -73, -34, 9, -6, 68]
  Compare 9 and -6
  Swap 9 and -6
  List after swap: [6, -73, -34, -6, 9, 68]

Pass 3:
  Compare 6 and -73
  Swap 6 and -73
  List after swap: [-73, 6, -34, -6, 9, 68]
  Compare 6 and -34
  Swap 6 and -34
  List after swap: [-73, -34, 6, -6, 9, 68]
  Compare 6 and -6
  Swap 6 and -6
  List after swap: [-73, -34, -6, 6, 9, 68]

Pass 4:
  Compare -73 and -34
  No swap needed
  Compare -34 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -34, -6, 6, 9, 68]
</think>

<response>-73, -34, -6, 6, 9, 68</response>


input: Carry out the bubble sort algorithm on 28, -9, 87, -20, 14 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [28, -9, 87, -20, 14]

Pass 1:
  Compare 28 and -9
  Swap 28 and -9
  List after swap: [-9, 28, 87, -20, 14]
  Compare 28 and 87
  No swap needed
  Compare 87 and -20
  Swap 87 and -20
  List after swap: [-9, 28, -20, 87, 14]
  Compare 87 and 14
  Swap 87 and 14
  List after swap: [-9, 28, -20, 14, 87]

Pass 2:
  Compare -9 and 28
  No swap needed
  Compare 28 and -20
  Swap 28 and -20
  List after swap: [-9, -20, 28, 14, 87]
  Compare 28 and 14
  Swap 28 and 14
  List after swap: [-9, -20, 14, 28, 87]

Pass 3:
  Compare -9 and -20
  Swap -9 and -20
  List after swap: [-20, -9, 14, 28, 87]
  Compare -9 and 14
  No swap needed

Pass 4:
  Compare -20 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, -9, 14, 28, 87]
</think>

<response>-20, -9, 14, 28, 87</response>


input: Carry out the bubble sort algorithm on -21, 73, -33, 30 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-21, 73, -33, 30]

Pass 1:
  Compare -21 and 73
  No swap needed
  Compare 73 and -33
  Swap 73 and -33
  List after swap: [-21, -33, 73, 30]
  Compare 73 and 30
  Swap 73 and 30
  List after swap: [-21, -33, 30, 73]

Pass 2:
  Compare -21 and -33
  Swap -21 and -33
  List after swap: [-33, -21, 30, 73]
  Compare -21 and 30
  No swap needed

Pass 3:
  Compare -33 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, -21, 30, 73]
</think>

<response>-33, -21, 30, 73</response>


input: Using the bubble sort method, sort 11, -75, 26, 49, -20, 85, 53 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [11, -75, 26, 49, -20, 85, 53]

Pass 1:
  Compare 11 and -75
  Swap 11 and -75
  List after swap: [-75, 11, 26, 49, -20, 85, 53]
  Compare 11 and 26
  No swap needed
  Compare 26 and 49
  No swap needed
  Compare 49 and -20
  Swap 49 and -20
  List after swap: [-75, 11, 26, -20, 49, 85, 53]
  Compare 49 and 85
  No swap needed
  Compare 85 and 53
  Swap 85 and 53
  List after swap: [-75, 11, 26, -20, 49, 53, 85]

Pass 2:
  Compare -75 and 11
  No swap needed
  Compare 11 and 26
  No swap needed
  Compare 26 and -20
  Swap 26 and -20
  List after swap: [-75, 11, -20, 26, 49, 53, 85]
  Compare 26 and 49
  No swap needed
  Compare 49 and 53
  No swap needed

Pass 3:
  Compare -75 and 11
  No swap needed
  Compare 11 and -20
  Swap 11 and -20
  List after swap: [-75, -20, 11, 26, 49, 53, 85]
  Compare 11 and 26
  No swap needed
  Compare 26 and 49
  No swap needed

Pass 4:
  Compare -75 and -20
  No swap needed
  Compare -20 and 11
  No swap needed
  Compare 11 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -20, 11, 26, 49, 53, 85]
</think>

<response>-75, -20, 11, 26, 49, 53, 85</response>


input: Sort these integers 19, -100, 37, -24, 39 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [19, -100, 37, -24, 39]

Pass 1:
  Compare 19 and -100
  Swap 19 and -100
  List after swap: [-100, 19, 37, -24, 39]
  Compare 19 and 37
  No swap needed
  Compare 37 and -24
  Swap 37 and -24
  List after swap: [-100, 19, -24, 37, 39]
  Compare 37 and 39
  No swap needed

Pass 2:
  Compare -100 and 19
  No swap needed
  Compare 19 and -24
  Swap 19 and -24
  List after swap: [-100, -24, 19, 37, 39]
  Compare 19 and 37
  No swap needed

Pass 3:
  Compare -100 and -24
  No swap needed
  Compare -24 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -24, 19, 37, 39]
</think>

<response>-100, -24, 19, 37, 39</response>


input: Use the bubble sort technique to reorder -1, -25, 25, 79, -5, 12, 94, -97 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-1, -25, 25, 79, -5, 12, 94, -97]

Pass 1:
  Compare -1 and -25
  Swap -1 and -25
  List after swap: [-25, -1, 25, 79, -5, 12, 94, -97]
  Compare -1 and 25
  No swap needed
  Compare 25 and 79
  No swap needed
  Compare 79 and -5
  Swap 79 and -5
  List after swap: [-25, -1, 25, -5, 79, 12, 94, -97]
  Compare 79 and 12
  Swap 79 and 12
  List after swap: [-25, -1, 25, -5, 12, 79, 94, -97]
  Compare 79 and 94
  No swap needed
  Compare 94 and -97
  Swap 94 and -97
  List after swap: [-25, -1, 25, -5, 12, 79, -97, 94]

Pass 2:
  Compare -25 and -1
  No swap needed
  Compare -1 and 25
  No swap needed
  Compare 25 and -5
  Swap 25 and -5
  List after swap: [-25, -1, -5, 25, 12, 79, -97, 94]
  Compare 25 and 12
  Swap 25 and 12
  List after swap: [-25, -1, -5, 12, 25, 79, -97, 94]
  Compare 25 and 79
  No swap needed
  Compare 79 and -97
  Swap 79 and -97
  List after swap: [-25, -1, -5, 12, 25, -97, 79, 94]

Pass 3:
  Compare -25 and -1
  No swap needed
  Compare -1 and -5
  Swap -1 and -5
  List after swap: [-25, -5, -1, 12, 25, -97, 79, 94]
  Compare -1 and 12
  No swap needed
  Compare 12 and 25
  No swap needed
  Compare 25 and -97
  Swap 25 and -97
  List after swap: [-25, -5, -1, 12, -97, 25, 79, 94]

Pass 4:
  Compare -25 and -5
  No swap needed
  Compare -5 and -1
  No swap needed
  Compare -1 and 12
  No swap needed
  Compare 12 and -97
  Swap 12 and -97
  List after swap: [-25, -5, -1, -97, 12, 25, 79, 94]

Pass 5:
  Compare -25 and -5
  No swap needed
  Compare -5 and -1
  No swap needed
  Compare -1 and -97
  Swap -1 and -97
  List after swap: [-25, -5, -97, -1, 12, 25, 79, 94]

Pass 6:
  Compare -25 and -5
  No swap needed
  Compare -5 and -97
  Swap -5 and -97
  List after swap: [-25, -97, -5, -1, 12, 25, 79, 94]

Pass 7:
  Compare -25 and -97
  Swap -25 and -97
  List after swap: [-97, -25, -5, -1, 12, 25, 79, 94]

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

Final sorted list: [-97, -25, -5, -1, 12, 25, 79, 94]
</think>

<response>-97, -25, -5, -1, 12, 25, 79, 94</response>


input: Sort these integers 0, 46, -7, -52, -3, -25, 26 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [0, 46, -7, -52, -3, -25, 26]

Pass 1:
  Compare 0 and 46
  No swap needed
  Compare 46 and -7
  Swap 46 and -7
  List after swap: [0, -7, 46, -52, -3, -25, 26]
  Compare 46 and -52
  Swap 46 and -52
  List after swap: [0, -7, -52, 46, -3, -25, 26]
  Compare 46 and -3
  Swap 46 and -3
  List after swap: [0, -7, -52, -3, 46, -25, 26]
  Compare 46 and -25
  Swap 46 and -25
  List after swap: [0, -7, -52, -3, -25, 46, 26]
  Compare 46 and 26
  Swap 46 and 26
  List after swap: [0, -7, -52, -3, -25, 26, 46]

Pass 2:
  Compare 0 and -7
  Swap 0 and -7
  List after swap: [-7, 0, -52, -3, -25, 26, 46]
  Compare 0 and -52
  Swap 0 and -52
  List after swap: [-7, -52, 0, -3, -25, 26, 46]
  Compare 0 and -3
  Swap 0 and -3
  List after swap: [-7, -52, -3, 0, -25, 26, 46]
  Compare 0 and -25
  Swap 0 and -25
  List after swap: [-7, -52, -3, -25, 0, 26, 46]
  Compare 0 and 26
  No swap needed

Pass 3:
  Compare -7 and -52
  Swap -7 and -52
  List after swap: [-52, -7, -3, -25, 0, 26, 46]
  Compare -7 and -3
  No swap needed
  Compare -3 and -25
  Swap -3 and -25
  List after swap: [-52, -7, -25, -3, 0, 26, 46]
  Compare -3 and 0
  No swap needed

Pass 4:
  Compare -52 and -7
  No swap needed
  Compare -7 and -25
  Swap -7 and -25
  List after swap: [-52, -25, -7, -3, 0, 26, 46]
  Compare -7 and -3
  No swap needed

Pass 5:
  Compare -52 and -25
  No swap needed
  Compare -25 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -25, -7, -3, 0, 26, 46]
</think>

<response>-52, -25, -7, -3, 0, 26, 46</response>


input: Demonstrate how bubble sort orders the integers 82, 43 in ascending sequence, showing all steps.

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

Pass 1:
  Compare 82 and 43
  Swap 82 and 43
  List after swap: [43, 82]

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

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

<response>43, 82</response>


input: Use the bubble sort technique to reorder -68, -22, 61, 56, -96 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-68, -22, 61, 56, -96]

Pass 1:
  Compare -68 and -22
  No swap needed
  Compare -22 and 61
  No swap needed
  Compare 61 and 56
  Swap 61 and 56
  List after swap: [-68, -22, 56, 61, -96]
  Compare 61 and -96
  Swap 61 and -96
  List after swap: [-68, -22, 56, -96, 61]

Pass 2:
  Compare -68 and -22
  No swap needed
  Compare -22 and 56
  No swap needed
  Compare 56 and -96
  Swap 56 and -96
  List after swap: [-68, -22, -96, 56, 61]

Pass 3:
  Compare -68 and -22
  No swap needed
  Compare -22 and -96
  Swap -22 and -96
  List after swap: [-68, -96, -22, 56, 61]

Pass 4:
  Compare -68 and -96
  Swap -68 and -96
  List after swap: [-96, -68, -22, 56, 61]

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

Final sorted list: [-96, -68, -22, 56, 61]
</think>

<response>-96, -68, -22, 56, 61</response>


input: Using the bubble sort method, sort -43, 81, 53, 99, -16, 71 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-43, 81, 53, 99, -16, 71]

Pass 1:
  Compare -43 and 81
  No swap needed
  Compare 81 and 53
  Swap 81 and 53
  List after swap: [-43, 53, 81, 99, -16, 71]
  Compare 81 and 99
  No swap needed
  Compare 99 and -16
  Swap 99 and -16
  List after swap: [-43, 53, 81, -16, 99, 71]
  Compare 99 and 71
  Swap 99 and 71
  List after swap: [-43, 53, 81, -16, 71, 99]

Pass 2:
  Compare -43 and 53
  No swap needed
  Compare 53 and 81
  No swap needed
  Compare 81 and -16
  Swap 81 and -16
  List after swap: [-43, 53, -16, 81, 71, 99]
  Compare 81 and 71
  Swap 81 and 71
  List after swap: [-43, 53, -16, 71, 81, 99]

Pass 3:
  Compare -43 and 53
  No swap needed
  Compare 53 and -16
  Swap 53 and -16
  List after swap: [-43, -16, 53, 71, 81, 99]
  Compare 53 and 71
  No swap needed

Pass 4:
  Compare -43 and -16
  No swap needed
  Compare -16 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -16, 53, 71, 81, 99]
</think>

<response>-43, -16, 53, 71, 81, 99</response>


input: Sort these integers 43, 30, -41 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [43, 30, -41]

Pass 1:
  Compare 43 and 30
  Swap 43 and 30
  List after swap: [30, 43, -41]
  Compare 43 and -41
  Swap 43 and -41
  List after swap: [30, -41, 43]

Pass 2:
  Compare 30 and -41
  Swap 30 and -41
  List after swap: [-41, 30, 43]

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

Final sorted list: [-41, 30, 43]
</think>

<response>-41, 30, 43</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 98, -26, 93, -83, 10, -66, -43, -7, -8.

output:
<think>
Initial list: [98, -26, 93, -83, 10, -66, -43, -7, -8]

Pass 1:
  Compare 98 and -26
  Swap 98 and -26
  List after swap: [-26, 98, 93, -83, 10, -66, -43, -7, -8]
  Compare 98 and 93
  Swap 98 and 93
  List after swap: [-26, 93, 98, -83, 10, -66, -43, -7, -8]
  Compare 98 and -83
  Swap 98 and -83
  List after swap: [-26, 93, -83, 98, 10, -66, -43, -7, -8]
  Compare 98 and 10
  Swap 98 and 10
  List after swap: [-26, 93, -83, 10, 98, -66, -43, -7, -8]
  Compare 98 and -66
  Swap 98 and -66
  List after swap: [-26, 93, -83, 10, -66, 98, -43, -7, -8]
  Compare 98 and -43
  Swap 98 and -43
  List after swap: [-26, 93, -83, 10, -66, -43, 98, -7, -8]
  Compare 98 and -7
  Swap 98 and -7
  List after swap: [-26, 93, -83, 10, -66, -43, -7, 98, -8]
  Compare 98 and -8
  Swap 98 and -8
  List after swap: [-26, 93, -83, 10, -66, -43, -7, -8, 98]

Pass 2:
  Compare -26 and 93
  No swap needed
  Compare 93 and -83
  Swap 93 and -83
  List after swap: [-26, -83, 93, 10, -66, -43, -7, -8, 98]
  Compare 93 and 10
  Swap 93 and 10
  List after swap: [-26, -83, 10, 93, -66, -43, -7, -8, 98]
  Compare 93 and -66
  Swap 93 and -66
  List after swap: [-26, -83, 10, -66, 93, -43, -7, -8, 98]
  Compare 93 and -43
  Swap 93 and -43
  List after swap: [-26, -83, 10, -66, -43, 93, -7, -8, 98]
  Compare 93 and -7
  Swap 93 and -7
  List after swap: [-26, -83, 10, -66, -43, -7, 93, -8, 98]
  Compare 93 and -8
  Swap 93 and -8
  List after swap: [-26, -83, 10, -66, -43, -7, -8, 93, 98]

Pass 3:
  Compare -26 and -83
  Swap -26 and -83
  List after swap: [-83, -26, 10, -66, -43, -7, -8, 93, 98]
  Compare -26 and 10
  No swap needed
  Compare 10 and -66
  Swap 10 and -66
  List after swap: [-83, -26, -66, 10, -43, -7, -8, 93, 98]
  Compare 10 and -43
  Swap 10 and -43
  List after swap: [-83, -26, -66, -43, 10, -7, -8, 93, 98]
  Compare 10 and -7
  Swap 10 and -7
  List after swap: [-83, -26, -66, -43, -7, 10, -8, 93, 98]
  Compare 10 and -8
  Swap 10 and -8
  List after swap: [-83, -26, -66, -43, -7, -8, 10, 93, 98]

Pass 4:
  Compare -83 and -26
  No swap needed
  Compare -26 and -66
  Swap -26 and -66
  List after swap: [-83, -66, -26, -43, -7, -8, 10, 93, 98]
  Compare -26 and -43
  Swap -26 and -43
  List after swap: [-83, -66, -43, -26, -7, -8, 10, 93, 98]
  Compare -26 and -7
  No swap needed
  Compare -7 and -8
  Swap -7 and -8
  List after swap: [-83, -66, -43, -26, -8, -7, 10, 93, 98]

Pass 5:
  Compare -83 and -66
  No swap needed
  Compare -66 and -43
  No swap needed
  Compare -43 and -26
  No swap needed
  Compare -26 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -66, -43, -26, -8, -7, 10, 93, 98]
</think>

<response>-83, -66, -43, -26, -8, -7, 10, 93, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -86, -46, 85, 56, -54.

output:
<think>
Initial list: [-86, -46, 85, 56, -54]

Pass 1:
  Compare -86 and -46
  No swap needed
  Compare -46 and 85
  No swap needed
  Compare 85 and 56
  Swap 85 and 56
  List after swap: [-86, -46, 56, 85, -54]
  Compare 85 and -54
  Swap 85 and -54
  List after swap: [-86, -46, 56, -54, 85]

Pass 2:
  Compare -86 and -46
  No swap needed
  Compare -46 and 56
  No swap needed
  Compare 56 and -54
  Swap 56 and -54
  List after swap: [-86, -46, -54, 56, 85]

Pass 3:
  Compare -86 and -46
  No swap needed
  Compare -46 and -54
  Swap -46 and -54
  List after swap: [-86, -54, -46, 56, 85]

Pass 4:
  Compare -86 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -54, -46, 56, 85]
</think>

<response>-86, -54, -46, 56, 85</response>


input: Implement bubble sort on -56, -67, -96, -94, 16, -2, -31, 71, -77 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-56, -67, -96, -94, 16, -2, -31, 71, -77]

Pass 1:
  Compare -56 and -67
  Swap -56 and -67
  List after swap: [-67, -56, -96, -94, 16, -2, -31, 71, -77]
  Compare -56 and -96
  Swap -56 and -96
  List after swap: [-67, -96, -56, -94, 16, -2, -31, 71, -77]
  Compare -56 and -94
  Swap -56 and -94
  List after swap: [-67, -96, -94, -56, 16, -2, -31, 71, -77]
  Compare -56 and 16
  No swap needed
  Compare 16 and -2
  Swap 16 and -2
  List after swap: [-67, -96, -94, -56, -2, 16, -31, 71, -77]
  Compare 16 and -31
  Swap 16 and -31
  List after swap: [-67, -96, -94, -56, -2, -31, 16, 71, -77]
  Compare 16 and 71
  No swap needed
  Compare 71 and -77
  Swap 71 and -77
  List after swap: [-67, -96, -94, -56, -2, -31, 16, -77, 71]

Pass 2:
  Compare -67 and -96
  Swap -67 and -96
  List after swap: [-96, -67, -94, -56, -2, -31, 16, -77, 71]
  Compare -67 and -94
  Swap -67 and -94
  List after swap: [-96, -94, -67, -56, -2, -31, 16, -77, 71]
  Compare -67 and -56
  No swap needed
  Compare -56 and -2
  No swap needed
  Compare -2 and -31
  Swap -2 and -31
  List after swap: [-96, -94, -67, -56, -31, -2, 16, -77, 71]
  Compare -2 and 16
  No swap needed
  Compare 16 and -77
  Swap 16 and -77
  List after swap: [-96, -94, -67, -56, -31, -2, -77, 16, 71]

Pass 3:
  Compare -96 and -94
  No swap needed
  Compare -94 and -67
  No swap needed
  Compare -67 and -56
  No swap needed
  Compare -56 and -31
  No swap needed
  Compare -31 and -2
  No swap needed
  Compare -2 and -77
  Swap -2 and -77
  List after swap: [-96, -94, -67, -56, -31, -77, -2, 16, 71]

Pass 4:
  Compare -96 and -94
  No swap needed
  Compare -94 and -67
  No swap needed
  Compare -67 and -56
  No swap needed
  Compare -56 and -31
  No swap needed
  Compare -31 and -77
  Swap -31 and -77
  List after swap: [-96, -94, -67, -56, -77, -31, -2, 16, 71]

Pass 5:
  Compare -96 and -94
  No swap needed
  Compare -94 and -67
  No swap needed
  Compare -67 and -56
  No swap needed
  Compare -56 and -77
  Swap -56 and -77
  List after swap: [-96, -94, -67, -77, -56, -31, -2, 16, 71]

Pass 6:
  Compare -96 and -94
  No swap needed
  Compare -94 and -67
  No swap needed
  Compare -67 and -77
  Swap -67 and -77
  List after swap: [-96, -94, -77, -67, -56, -31, -2, 16, 71]

Pass 7:
  Compare -96 and -94
  No swap needed
  Compare -94 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -94, -77, -67, -56, -31, -2, 16, 71]
</think>

<response>-96, -94, -77, -67, -56, -31, -2, 16, 71</response>


input: Carry out the bubble sort algorithm on -70, -75, 65, 51, -4, -47, 93, -84, 88 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-70, -75, 65, 51, -4, -47, 93, -84, 88]

Pass 1:
  Compare -70 and -75
  Swap -70 and -75
  List after swap: [-75, -70, 65, 51, -4, -47, 93, -84, 88]
  Compare -70 and 65
  No swap needed
  Compare 65 and 51
  Swap 65 and 51
  List after swap: [-75, -70, 51, 65, -4, -47, 93, -84, 88]
  Compare 65 and -4
  Swap 65 and -4
  List after swap: [-75, -70, 51, -4, 65, -47, 93, -84, 88]
  Compare 65 and -47
  Swap 65 and -47
  List after swap: [-75, -70, 51, -4, -47, 65, 93, -84, 88]
  Compare 65 and 93
  No swap needed
  Compare 93 and -84
  Swap 93 and -84
  List after swap: [-75, -70, 51, -4, -47, 65, -84, 93, 88]
  Compare 93 and 88
  Swap 93 and 88
  List after swap: [-75, -70, 51, -4, -47, 65, -84, 88, 93]

Pass 2:
  Compare -75 and -70
  No swap needed
  Compare -70 and 51
  No swap needed
  Compare 51 and -4
  Swap 51 and -4
  List after swap: [-75, -70, -4, 51, -47, 65, -84, 88, 93]
  Compare 51 and -47
  Swap 51 and -47
  List after swap: [-75, -70, -4, -47, 51, 65, -84, 88, 93]
  Compare 51 and 65
  No swap needed
  Compare 65 and -84
  Swap 65 and -84
  List after swap: [-75, -70, -4, -47, 51, -84, 65, 88, 93]
  Compare 65 and 88
  No swap needed

Pass 3:
  Compare -75 and -70
  No swap needed
  Compare -70 and -4
  No swap needed
  Compare -4 and -47
  Swap -4 and -47
  List after swap: [-75, -70, -47, -4, 51, -84, 65, 88, 93]
  Compare -4 and 51
  No swap needed
  Compare 51 and -84
  Swap 51 and -84
  List after swap: [-75, -70, -47, -4, -84, 51, 65, 88, 93]
  Compare 51 and 65
  No swap needed

Pass 4:
  Compare -75 and -70
  No swap needed
  Compare -70 and -47
  No swap needed
  Compare -47 and -4
  No swap needed
  Compare -4 and -84
  Swap -4 and -84
  List after swap: [-75, -70, -47, -84, -4, 51, 65, 88, 93]
  Compare -4 and 51
  No swap needed

Pass 5:
  Compare -75 and -70
  No swap needed
  Compare -70 and -47
  No swap needed
  Compare -47 and -84
  Swap -47 and -84
  List after swap: [-75, -70, -84, -47, -4, 51, 65, 88, 93]
  Compare -47 and -4
  No swap needed

Pass 6:
  Compare -75 and -70
  No swap needed
  Compare -70 and -84
  Swap -70 and -84
  List after swap: [-75, -84, -70, -47, -4, 51, 65, 88, 93]
  Compare -70 and -47
  No swap needed

Pass 7:
  Compare -75 and -84
  Swap -75 and -84
  List after swap: [-84, -75, -70, -47, -4, 51, 65, 88, 93]
  Compare -75 and -70
  No swap needed

Pass 8:
  Compare -84 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -75, -70, -47, -4, 51, 65, 88, 93]
</think>

<response>-84, -75, -70, -47, -4, 51, 65, 88, 93</response>


input: Demonstrate how bubble sort orders the integers 60, -21, 63, 40, -35, 92, 95, 38, 41, 59 in ascending sequence, showing all steps.

output:
<think>
Initial list: [60, -21, 63, 40, -35, 92, 95, 38, 41, 59]

Pass 1:
  Compare 60 and -21
  Swap 60 and -21
  List after swap: [-21, 60, 63, 40, -35, 92, 95, 38, 41, 59]
  Compare 60 and 63
  No swap needed
  Compare 63 and 40
  Swap 63 and 40
  List after swap: [-21, 60, 40, 63, -35, 92, 95, 38, 41, 59]
  Compare 63 and -35
  Swap 63 and -35
  List after swap: [-21, 60, 40, -35, 63, 92, 95, 38, 41, 59]
  Compare 63 and 92
  No swap needed
  Compare 92 and 95
  No swap needed
  Compare 95 and 38
  Swap 95 and 38
  List after swap: [-21, 60, 40, -35, 63, 92, 38, 95, 41, 59]
  Compare 95 and 41
  Swap 95 and 41
  List after swap: [-21, 60, 40, -35, 63, 92, 38, 41, 95, 59]
  Compare 95 and 59
  Swap 95 and 59
  List after swap: [-21, 60, 40, -35, 63, 92, 38, 41, 59, 95]

Pass 2:
  Compare -21 and 60
  No swap needed
  Compare 60 and 40
  Swap 60 and 40
  List after swap: [-21, 40, 60, -35, 63, 92, 38, 41, 59, 95]
  Compare 60 and -35
  Swap 60 and -35
  List after swap: [-21, 40, -35, 60, 63, 92, 38, 41, 59, 95]
  Compare 60 and 63
  No swap needed
  Compare 63 and 92
  No swap needed
  Compare 92 and 38
  Swap 92 and 38
  List after swap: [-21, 40, -35, 60, 63, 38, 92, 41, 59, 95]
  Compare 92 and 41
  Swap 92 and 41
  List after swap: [-21, 40, -35, 60, 63, 38, 41, 92, 59, 95]
  Compare 92 and 59
  Swap 92 and 59
  List after swap: [-21, 40, -35, 60, 63, 38, 41, 59, 92, 95]

Pass 3:
  Compare -21 and 40
  No swap needed
  Compare 40 and -35
  Swap 40 and -35
  List after swap: [-21, -35, 40, 60, 63, 38, 41, 59, 92, 95]
  Compare 40 and 60
  No swap needed
  Compare 60 and 63
  No swap needed
  Compare 63 and 38
  Swap 63 and 38
  List after swap: [-21, -35, 40, 60, 38, 63, 41, 59, 92, 95]
  Compare 63 and 41
  Swap 63 and 41
  List after swap: [-21, -35, 40, 60, 38, 41, 63, 59, 92, 95]
  Compare 63 and 59
  Swap 63 and 59
  List after swap: [-21, -35, 40, 60, 38, 41, 59, 63, 92, 95]

Pass 4:
  Compare -21 and -35
  Swap -21 and -35
  List after swap: [-35, -21, 40, 60, 38, 41, 59, 63, 92, 95]
  Compare -21 and 40
  No swap needed
  Compare 40 and 60
  No swap needed
  Compare 60 and 38
  Swap 60 and 38
  List after swap: [-35, -21, 40, 38, 60, 41, 59, 63, 92, 95]
  Compare 60 and 41
  Swap 60 and 41
  List after swap: [-35, -21, 40, 38, 41, 60, 59, 63, 92, 95]
  Compare 60 and 59
  Swap 60 and 59
  List after swap: [-35, -21, 40, 38, 41, 59, 60, 63, 92, 95]

Pass 5:
  Compare -35 and -21
  No swap needed
  Compare -21 and 40
  No swap needed
  Compare 40 and 38
  Swap 40 and 38
  List after swap: [-35, -21, 38, 40, 41, 59, 60, 63, 92, 95]
  Compare 40 and 41
  No swap needed
  Compare 41 and 59
  No swap needed

Pass 6:
  Compare -35 and -21
  No swap needed
  Compare -21 and 38
  No swap needed
  Compare 38 and 40
  No swap needed
  Compare 40 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -21, 38, 40, 41, 59, 60, 63, 92, 95]
</think>

<response>-35, -21, 38, 40, 41, 59, 60, 63, 92, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 51, 16, -35.

output:
<think>
Initial list: [51, 16, -35]

Pass 1:
  Compare 51 and 16
  Swap 51 and 16
  List after swap: [16, 51, -35]
  Compare 51 and -35
  Swap 51 and -35
  List after swap: [16, -35, 51]

Pass 2:
  Compare 16 and -35
  Swap 16 and -35
  List after swap: [-35, 16, 51]

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

Final sorted list: [-35, 16, 51]
</think>

<response>-35, 16, 51</response>


input: Demonstrate how bubble sort orders the integers 6, 53, -55, -12 in ascending sequence, showing all steps.

output:
<think>
Initial list: [6, 53, -55, -12]

Pass 1:
  Compare 6 and 53
  No swap needed
  Compare 53 and -55
  Swap 53 and -55
  List after swap: [6, -55, 53, -12]
  Compare 53 and -12
  Swap 53 and -12
  List after swap: [6, -55, -12, 53]

Pass 2:
  Compare 6 and -55
  Swap 6 and -55
  List after swap: [-55, 6, -12, 53]
  Compare 6 and -12
  Swap 6 and -12
  List after swap: [-55, -12, 6, 53]

Pass 3:
  Compare -55 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -12, 6, 53]
</think>

<response>-55, -12, 6, 53</response>


input: Execute bubble sort to sort 74, 83, -33, -35 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [74, 83, -33, -35]

Pass 1:
  Compare 74 and 83
  No swap needed
  Compare 83 and -33
  Swap 83 and -33
  List after swap: [74, -33, 83, -35]
  Compare 83 and -35
  Swap 83 and -35
  List after swap: [74, -33, -35, 83]

Pass 2:
  Compare 74 and -33
  Swap 74 and -33
  List after swap: [-33, 74, -35, 83]
  Compare 74 and -35
  Swap 74 and -35
  List after swap: [-33, -35, 74, 83]

Pass 3:
  Compare -33 and -35
  Swap -33 and -35
  List after swap: [-35, -33, 74, 83]

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

Final sorted list: [-35, -33, 74, 83]
</think>

<response>-35, -33, 74, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -6, -59, 47, -37.

output:
<think>
Initial list: [-6, -59, 47, -37]

Pass 1:
  Compare -6 and -59
  Swap -6 and -59
  List after swap: [-59, -6, 47, -37]
  Compare -6 and 47
  No swap needed
  Compare 47 and -37
  Swap 47 and -37
  List after swap: [-59, -6, -37, 47]

Pass 2:
  Compare -59 and -6
  No swap needed
  Compare -6 and -37
  Swap -6 and -37
  List after swap: [-59, -37, -6, 47]

Pass 3:
  Compare -59 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -37, -6, 47]
</think>

<response>-59, -37, -6, 47</response>


input: Arrange the numbers 84, -56, -94, 73, 81, 57, -8 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [84, -56, -94, 73, 81, 57, -8]

Pass 1:
  Compare 84 and -56
  Swap 84 and -56
  List after swap: [-56, 84, -94, 73, 81, 57, -8]
  Compare 84 and -94
  Swap 84 and -94
  List after swap: [-56, -94, 84, 73, 81, 57, -8]
  Compare 84 and 73
  Swap 84 and 73
  List after swap: [-56, -94, 73, 84, 81, 57, -8]
  Compare 84 and 81
  Swap 84 and 81
  List after swap: [-56, -94, 73, 81, 84, 57, -8]
  Compare 84 and 57
  Swap 84 and 57
  List after swap: [-56, -94, 73, 81, 57, 84, -8]
  Compare 84 and -8
  Swap 84 and -8
  List after swap: [-56, -94, 73, 81, 57, -8, 84]

Pass 2:
  Compare -56 and -94
  Swap -56 and -94
  List after swap: [-94, -56, 73, 81, 57, -8, 84]
  Compare -56 and 73
  No swap needed
  Compare 73 and 81
  No swap needed
  Compare 81 and 57
  Swap 81 and 57
  List after swap: [-94, -56, 73, 57, 81, -8, 84]
  Compare 81 and -8
  Swap 81 and -8
  List after swap: [-94, -56, 73, 57, -8, 81, 84]

Pass 3:
  Compare -94 and -56
  No swap needed
  Compare -56 and 73
  No swap needed
  Compare 73 and 57
  Swap 73 and 57
  List after swap: [-94, -56, 57, 73, -8, 81, 84]
  Compare 73 and -8
  Swap 73 and -8
  List after swap: [-94, -56, 57, -8, 73, 81, 84]

Pass 4:
  Compare -94 and -56
  No swap needed
  Compare -56 and 57
  No swap needed
  Compare 57 and -8
  Swap 57 and -8
  List after swap: [-94, -56, -8, 57, 73, 81, 84]

Pass 5:
  Compare -94 and -56
  No swap needed
  Compare -56 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -56, -8, 57, 73, 81, 84]
</think>

<response>-94, -56, -8, 57, 73, 81, 84</response>


input: Sort the list 52, -11, -14, 11 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [52, -11, -14, 11]

Pass 1:
  Compare 52 and -11
  Swap 52 and -11
  List after swap: [-11, 52, -14, 11]
  Compare 52 and -14
  Swap 52 and -14
  List after swap: [-11, -14, 52, 11]
  Compare 52 and 11
  Swap 52 and 11
  List after swap: [-11, -14, 11, 52]

Pass 2:
  Compare -11 and -14
  Swap -11 and -14
  List after swap: [-14, -11, 11, 52]
  Compare -11 and 11
  No swap needed

Pass 3:
  Compare -14 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-14, -11, 11, 52]
</think>

<response>-14, -11, 11, 52</response>


input: Perform a bubble sort on the integers 66, -18, 10, -35, -73, -15, -51, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [66, -18, 10, -35, -73, -15, -51]

Pass 1:
  Compare 66 and -18
  Swap 66 and -18
  List after swap: [-18, 66, 10, -35, -73, -15, -51]
  Compare 66 and 10
  Swap 66 and 10
  List after swap: [-18, 10, 66, -35, -73, -15, -51]
  Compare 66 and -35
  Swap 66 and -35
  List after swap: [-18, 10, -35, 66, -73, -15, -51]
  Compare 66 and -73
  Swap 66 and -73
  List after swap: [-18, 10, -35, -73, 66, -15, -51]
  Compare 66 and -15
  Swap 66 and -15
  List after swap: [-18, 10, -35, -73, -15, 66, -51]
  Compare 66 and -51
  Swap 66 and -51
  List after swap: [-18, 10, -35, -73, -15, -51, 66]

Pass 2:
  Compare -18 and 10
  No swap needed
  Compare 10 and -35
  Swap 10 and -35
  List after swap: [-18, -35, 10, -73, -15, -51, 66]
  Compare 10 and -73
  Swap 10 and -73
  List after swap: [-18, -35, -73, 10, -15, -51, 66]
  Compare 10 and -15
  Swap 10 and -15
  List after swap: [-18, -35, -73, -15, 10, -51, 66]
  Compare 10 and -51
  Swap 10 and -51
  List after swap: [-18, -35, -73, -15, -51, 10, 66]

Pass 3:
  Compare -18 and -35
  Swap -18 and -35
  List after swap: [-35, -18, -73, -15, -51, 10, 66]
  Compare -18 and -73
  Swap -18 and -73
  List after swap: [-35, -73, -18, -15, -51, 10, 66]
  Compare -18 and -15
  No swap needed
  Compare -15 and -51
  Swap -15 and -51
  List after swap: [-35, -73, -18, -51, -15, 10, 66]

Pass 4:
  Compare -35 and -73
  Swap -35 and -73
  List after swap: [-73, -35, -18, -51, -15, 10, 66]
  Compare -35 and -18
  No swap needed
  Compare -18 and -51
  Swap -18 and -51
  List after swap: [-73, -35, -51, -18, -15, 10, 66]

Pass 5:
  Compare -73 and -35
  No swap needed
  Compare -35 and -51
  Swap -35 and -51
  List after swap: [-73, -51, -35, -18, -15, 10, 66]

Pass 6:
  Compare -73 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -51, -35, -18, -15, 10, 66]
</think>

<response>-73, -51, -35, -18, -15, 10, 66</response>


input: Implement bubble sort on -83, 94, 26, -33, 47, 7, -96, -99, -89, 4 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-83, 94, 26, -33, 47, 7, -96, -99, -89, 4]

Pass 1:
  Compare -83 and 94
  No swap needed
  Compare 94 and 26
  Swap 94 and 26
  List after swap: [-83, 26, 94, -33, 47, 7, -96, -99, -89, 4]
  Compare 94 and -33
  Swap 94 and -33
  List after swap: [-83, 26, -33, 94, 47, 7, -96, -99, -89, 4]
  Compare 94 and 47
  Swap 94 and 47
  List after swap: [-83, 26, -33, 47, 94, 7, -96, -99, -89, 4]
  Compare 94 and 7
  Swap 94 and 7
  List after swap: [-83, 26, -33, 47, 7, 94, -96, -99, -89, 4]
  Compare 94 and -96
  Swap 94 and -96
  List after swap: [-83, 26, -33, 47, 7, -96, 94, -99, -89, 4]
  Compare 94 and -99
  Swap 94 and -99
  List after swap: [-83, 26, -33, 47, 7, -96, -99, 94, -89, 4]
  Compare 94 and -89
  Swap 94 and -89
  List after swap: [-83, 26, -33, 47, 7, -96, -99, -89, 94, 4]
  Compare 94 and 4
  Swap 94 and 4
  List after swap: [-83, 26, -33, 47, 7, -96, -99, -89, 4, 94]

Pass 2:
  Compare -83 and 26
  No swap needed
  Compare 26 and -33
  Swap 26 and -33
  List after swap: [-83, -33, 26, 47, 7, -96, -99, -89, 4, 94]
  Compare 26 and 47
  No swap needed
  Compare 47 and 7
  Swap 47 and 7
  List after swap: [-83, -33, 26, 7, 47, -96, -99, -89, 4, 94]
  Compare 47 and -96
  Swap 47 and -96
  List after swap: [-83, -33, 26, 7, -96, 47, -99, -89, 4, 94]
  Compare 47 and -99
  Swap 47 and -99
  List after swap: [-83, -33, 26, 7, -96, -99, 47, -89, 4, 94]
  Compare 47 and -89
  Swap 47 and -89
  List after swap: [-83, -33, 26, 7, -96, -99, -89, 47, 4, 94]
  Compare 47 and 4
  Swap 47 and 4
  List after swap: [-83, -33, 26, 7, -96, -99, -89, 4, 47, 94]

Pass 3:
  Compare -83 and -33
  No swap needed
  Compare -33 and 26
  No swap needed
  Compare 26 and 7
  Swap 26 and 7
  List after swap: [-83, -33, 7, 26, -96, -99, -89, 4, 47, 94]
  Compare 26 and -96
  Swap 26 and -96
  List after swap: [-83, -33, 7, -96, 26, -99, -89, 4, 47, 94]
  Compare 26 and -99
  Swap 26 and -99
  List after swap: [-83, -33, 7, -96, -99, 26, -89, 4, 47, 94]
  Compare 26 and -89
  Swap 26 and -89
  List after swap: [-83, -33, 7, -96, -99, -89, 26, 4, 47, 94]
  Compare 26 and 4
  Swap 26 and 4
  List after swap: [-83, -33, 7, -96, -99, -89, 4, 26, 47, 94]

Pass 4:
  Compare -83 and -33
  No swap needed
  Compare -33 and 7
  No swap needed
  Compare 7 and -96
  Swap 7 and -96
  List after swap: [-83, -33, -96, 7, -99, -89, 4, 26, 47, 94]
  Compare 7 and -99
  Swap 7 and -99
  List after swap: [-83, -33, -96, -99, 7, -89, 4, 26, 47, 94]
  Compare 7 and -89
  Swap 7 and -89
  List after swap: [-83, -33, -96, -99, -89, 7, 4, 26, 47, 94]
  Compare 7 and 4
  Swap 7 and 4
  List after swap: [-83, -33, -96, -99, -89, 4, 7, 26, 47, 94]

Pass 5:
  Compare -83 and -33
  No swap needed
  Compare -33 and -96
  Swap -33 and -96
  List after swap: [-83, -96, -33, -99, -89, 4, 7, 26, 47, 94]
  Compare -33 and -99
  Swap -33 and -99
  List after swap: [-83, -96, -99, -33, -89, 4, 7, 26, 47, 94]
  Compare -33 and -89
  Swap -33 and -89
  List after swap: [-83, -96, -99, -89, -33, 4, 7, 26, 47, 94]
  Compare -33 and 4
  No swap needed

Pass 6:
  Compare -83 and -96
  Swap -83 and -96
  List after swap: [-96, -83, -99, -89, -33, 4, 7, 26, 47, 94]
  Compare -83 and -99
  Swap -83 and -99
  List after swap: [-96, -99, -83, -89, -33, 4, 7, 26, 47, 94]
  Compare -83 and -89
  Swap -83 and -89
  List after swap: [-96, -99, -89, -83, -33, 4, 7, 26, 47, 94]
  Compare -83 and -33
  No swap needed

Pass 7:
  Compare -96 and -99
  Swap -96 and -99
  List after swap: [-99, -96, -89, -83, -33, 4, 7, 26, 47, 94]
  Compare -96 and -89
  No swap needed
  Compare -89 and -83
  No swap needed

Pass 8:
  Compare -99 and -96
  No swap needed
  Compare -96 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -96, -89, -83, -33, 4, 7, 26, 47, 94]
</think>

<response>-99, -96, -89, -83, -33, 4, 7, 26, 47, 94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -90, 1, -8, 71, -100, 44, -23.

output:
<think>
Initial list: [-90, 1, -8, 71, -100, 44, -23]

Pass 1:
  Compare -90 and 1
  No swap needed
  Compare 1 and -8
  Swap 1 and -8
  List after swap: [-90, -8, 1, 71, -100, 44, -23]
  Compare 1 and 71
  No swap needed
  Compare 71 and -100
  Swap 71 and -100
  List after swap: [-90, -8, 1, -100, 71, 44, -23]
  Compare 71 and 44
  Swap 71 and 44
  List after swap: [-90, -8, 1, -100, 44, 71, -23]
  Compare 71 and -23
  Swap 71 and -23
  List after swap: [-90, -8, 1, -100, 44, -23, 71]

Pass 2:
  Compare -90 and -8
  No swap needed
  Compare -8 and 1
  No swap needed
  Compare 1 and -100
  Swap 1 and -100
  List after swap: [-90, -8, -100, 1, 44, -23, 71]
  Compare 1 and 44
  No swap needed
  Compare 44 and -23
  Swap 44 and -23
  List after swap: [-90, -8, -100, 1, -23, 44, 71]

Pass 3:
  Compare -90 and -8
  No swap needed
  Compare -8 and -100
  Swap -8 and -100
  List after swap: [-90, -100, -8, 1, -23, 44, 71]
  Compare -8 and 1
  No swap needed
  Compare 1 and -23
  Swap 1 and -23
  List after swap: [-90, -100, -8, -23, 1, 44, 71]

Pass 4:
  Compare -90 and -100
  Swap -90 and -100
  List after swap: [-100, -90, -8, -23, 1, 44, 71]
  Compare -90 and -8
  No swap needed
  Compare -8 and -23
  Swap -8 and -23
  List after swap: [-100, -90, -23, -8, 1, 44, 71]

Pass 5:
  Compare -100 and -90
  No swap needed
  Compare -90 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -90, -23, -8, 1, 44, 71]
</think>

<response>-100, -90, -23, -8, 1, 44, 71</response>


input: Sort these integers -58, -29, -61, -24, -72, -48 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-58, -29, -61, -24, -72, -48]

Pass 1:
  Compare -58 and -29
  No swap needed
  Compare -29 and -61
  Swap -29 and -61
  List after swap: [-58, -61, -29, -24, -72, -48]
  Compare -29 and -24
  No swap needed
  Compare -24 and -72
  Swap -24 and -72
  List after swap: [-58, -61, -29, -72, -24, -48]
  Compare -24 and -48
  Swap -24 and -48
  List after swap: [-58, -61, -29, -72, -48, -24]

Pass 2:
  Compare -58 and -61
  Swap -58 and -61
  List after swap: [-61, -58, -29, -72, -48, -24]
  Compare -58 and -29
  No swap needed
  Compare -29 and -72
  Swap -29 and -72
  List after swap: [-61, -58, -72, -29, -48, -24]
  Compare -29 and -48
  Swap -29 and -48
  List after swap: [-61, -58, -72, -48, -29, -24]

Pass 3:
  Compare -61 and -58
  No swap needed
  Compare -58 and -72
  Swap -58 and -72
  List after swap: [-61, -72, -58, -48, -29, -24]
  Compare -58 and -48
  No swap needed

Pass 4:
  Compare -61 and -72
  Swap -61 and -72
  List after swap: [-72, -61, -58, -48, -29, -24]
  Compare -61 and -58
  No swap needed

Pass 5:
  Compare -72 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -61, -58, -48, -29, -24]
</think>

<response>-72, -61, -58, -48, -29, -24</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 93, 73, 57, -58, -92, 32.

output:
<think>
Initial list: [93, 73, 57, -58, -92, 32]

Pass 1:
  Compare 93 and 73
  Swap 93 and 73
  List after swap: [73, 93, 57, -58, -92, 32]
  Compare 93 and 57
  Swap 93 and 57
  List after swap: [73, 57, 93, -58, -92, 32]
  Compare 93 and -58
  Swap 93 and -58
  List after swap: [73, 57, -58, 93, -92, 32]
  Compare 93 and -92
  Swap 93 and -92
  List after swap: [73, 57, -58, -92, 93, 32]
  Compare 93 and 32
  Swap 93 and 32
  List after swap: [73, 57, -58, -92, 32, 93]

Pass 2:
  Compare 73 and 57
  Swap 73 and 57
  List after swap: [57, 73, -58, -92, 32, 93]
  Compare 73 and -58
  Swap 73 and -58
  List after swap: [57, -58, 73, -92, 32, 93]
  Compare 73 and -92
  Swap 73 and -92
  List after swap: [57, -58, -92, 73, 32, 93]
  Compare 73 and 32
  Swap 73 and 32
  List after swap: [57, -58, -92, 32, 73, 93]

Pass 3:
  Compare 57 and -58
  Swap 57 and -58
  List after swap: [-58, 57, -92, 32, 73, 93]
  Compare 57 and -92
  Swap 57 and -92
  List after swap: [-58, -92, 57, 32, 73, 93]
  Compare 57 and 32
  Swap 57 and 32
  List after swap: [-58, -92, 32, 57, 73, 93]

Pass 4:
  Compare -58 and -92
  Swap -58 and -92
  List after swap: [-92, -58, 32, 57, 73, 93]
  Compare -58 and 32
  No swap needed

Pass 5:
  Compare -92 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -58, 32, 57, 73, 93]
</think>

<response>-92, -58, 32, 57, 73, 93</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -91, -16.

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

Pass 1:
  Compare -91 and -16
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-91, -16</response>


input: Demonstrate how bubble sort orders the integers -3, -64, -73, 90, -60, -47, -54, -89 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-3, -64, -73, 90, -60, -47, -54, -89]

Pass 1:
  Compare -3 and -64
  Swap -3 and -64
  List after swap: [-64, -3, -73, 90, -60, -47, -54, -89]
  Compare -3 and -73
  Swap -3 and -73
  List after swap: [-64, -73, -3, 90, -60, -47, -54, -89]
  Compare -3 and 90
  No swap needed
  Compare 90 and -60
  Swap 90 and -60
  List after swap: [-64, -73, -3, -60, 90, -47, -54, -89]
  Compare 90 and -47
  Swap 90 and -47
  List after swap: [-64, -73, -3, -60, -47, 90, -54, -89]
  Compare 90 and -54
  Swap 90 and -54
  List after swap: [-64, -73, -3, -60, -47, -54, 90, -89]
  Compare 90 and -89
  Swap 90 and -89
  List after swap: [-64, -73, -3, -60, -47, -54, -89, 90]

Pass 2:
  Compare -64 and -73
  Swap -64 and -73
  List after swap: [-73, -64, -3, -60, -47, -54, -89, 90]
  Compare -64 and -3
  No swap needed
  Compare -3 and -60
  Swap -3 and -60
  List after swap: [-73, -64, -60, -3, -47, -54, -89, 90]
  Compare -3 and -47
  Swap -3 and -47
  List after swap: [-73, -64, -60, -47, -3, -54, -89, 90]
  Compare -3 and -54
  Swap -3 and -54
  List after swap: [-73, -64, -60, -47, -54, -3, -89, 90]
  Compare -3 and -89
  Swap -3 and -89
  List after swap: [-73, -64, -60, -47, -54, -89, -3, 90]

Pass 3:
  Compare -73 and -64
  No swap needed
  Compare -64 and -60
  No swap needed
  Compare -60 and -47
  No swap needed
  Compare -47 and -54
  Swap -47 and -54
  List after swap: [-73, -64, -60, -54, -47, -89, -3, 90]
  Compare -47 and -89
  Swap -47 and -89
  List after swap: [-73, -64, -60, -54, -89, -47, -3, 90]

Pass 4:
  Compare -73 and -64
  No swap needed
  Compare -64 and -60
  No swap needed
  Compare -60 and -54
  No swap needed
  Compare -54 and -89
  Swap -54 and -89
  List after swap: [-73, -64, -60, -89, -54, -47, -3, 90]

Pass 5:
  Compare -73 and -64
  No swap needed
  Compare -64 and -60
  No swap needed
  Compare -60 and -89
  Swap -60 and -89
  List after swap: [-73, -64, -89, -60, -54, -47, -3, 90]

Pass 6:
  Compare -73 and -64
  No swap needed
  Compare -64 and -89
  Swap -64 and -89
  List after swap: [-73, -89, -64, -60, -54, -47, -3, 90]

Pass 7:
  Compare -73 and -89
  Swap -73 and -89
  List after swap: [-89, -73, -64, -60, -54, -47, -3, 90]

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

Final sorted list: [-89, -73, -64, -60, -54, -47, -3, 90]
</think>

<response>-89, -73, -64, -60, -54, -47, -3, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 40, -21.

output:
<think>
Initial list: [40, -21]

Pass 1:
  Compare 40 and -21
  Swap 40 and -21
  List after swap: [-21, 40]

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

Final sorted list: [-21, 40]
</think>

<response>-21, 40</response>


input: Perform a bubble sort on the integers -57, -52, 52, 78, -79, -26, 82, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-57, -52, 52, 78, -79, -26, 82]

Pass 1:
  Compare -57 and -52
  No swap needed
  Compare -52 and 52
  No swap needed
  Compare 52 and 78
  No swap needed
  Compare 78 and -79
  Swap 78 and -79
  List after swap: [-57, -52, 52, -79, 78, -26, 82]
  Compare 78 and -26
  Swap 78 and -26
  List after swap: [-57, -52, 52, -79, -26, 78, 82]
  Compare 78 and 82
  No swap needed

Pass 2:
  Compare -57 and -52
  No swap needed
  Compare -52 and 52
  No swap needed
  Compare 52 and -79
  Swap 52 and -79
  List after swap: [-57, -52, -79, 52, -26, 78, 82]
  Compare 52 and -26
  Swap 52 and -26
  List after swap: [-57, -52, -79, -26, 52, 78, 82]
  Compare 52 and 78
  No swap needed

Pass 3:
  Compare -57 and -52
  No swap needed
  Compare -52 and -79
  Swap -52 and -79
  List after swap: [-57, -79, -52, -26, 52, 78, 82]
  Compare -52 and -26
  No swap needed
  Compare -26 and 52
  No swap needed

Pass 4:
  Compare -57 and -79
  Swap -57 and -79
  List after swap: [-79, -57, -52, -26, 52, 78, 82]
  Compare -57 and -52
  No swap needed
  Compare -52 and -26
  No swap needed

Pass 5:
  Compare -79 and -57
  No swap needed
  Compare -57 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -57, -52, -26, 52, 78, 82]
</think>

<response>-79, -57, -52, -26, 52, 78, 82</response>


input: Execute bubble sort to sort -87, 27, -49, -58, 1, 28, -45 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-87, 27, -49, -58, 1, 28, -45]

Pass 1:
  Compare -87 and 27
  No swap needed
  Compare 27 and -49
  Swap 27 and -49
  List after swap: [-87, -49, 27, -58, 1, 28, -45]
  Compare 27 and -58
  Swap 27 and -58
  List after swap: [-87, -49, -58, 27, 1, 28, -45]
  Compare 27 and 1
  Swap 27 and 1
  List after swap: [-87, -49, -58, 1, 27, 28, -45]
  Compare 27 and 28
  No swap needed
  Compare 28 and -45
  Swap 28 and -45
  List after swap: [-87, -49, -58, 1, 27, -45, 28]

Pass 2:
  Compare -87 and -49
  No swap needed
  Compare -49 and -58
  Swap -49 and -58
  List after swap: [-87, -58, -49, 1, 27, -45, 28]
  Compare -49 and 1
  No swap needed
  Compare 1 and 27
  No swap needed
  Compare 27 and -45
  Swap 27 and -45
  List after swap: [-87, -58, -49, 1, -45, 27, 28]

Pass 3:
  Compare -87 and -58
  No swap needed
  Compare -58 and -49
  No swap needed
  Compare -49 and 1
  No swap needed
  Compare 1 and -45
  Swap 1 and -45
  List after swap: [-87, -58, -49, -45, 1, 27, 28]

Pass 4:
  Compare -87 and -58
  No swap needed
  Compare -58 and -49
  No swap needed
  Compare -49 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -58, -49, -45, 1, 27, 28]
</think>

<response>-87, -58, -49, -45, 1, 27, 28</response>


input: Using the bubble sort method, sort -42, 74, 25, 40, -1, 7, 17, -82 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-42, 74, 25, 40, -1, 7, 17, -82]

Pass 1:
  Compare -42 and 74
  No swap needed
  Compare 74 and 25
  Swap 74 and 25
  List after swap: [-42, 25, 74, 40, -1, 7, 17, -82]
  Compare 74 and 40
  Swap 74 and 40
  List after swap: [-42, 25, 40, 74, -1, 7, 17, -82]
  Compare 74 and -1
  Swap 74 and -1
  List after swap: [-42, 25, 40, -1, 74, 7, 17, -82]
  Compare 74 and 7
  Swap 74 and 7
  List after swap: [-42, 25, 40, -1, 7, 74, 17, -82]
  Compare 74 and 17
  Swap 74 and 17
  List after swap: [-42, 25, 40, -1, 7, 17, 74, -82]
  Compare 74 and -82
  Swap 74 and -82
  List after swap: [-42, 25, 40, -1, 7, 17, -82, 74]

Pass 2:
  Compare -42 and 25
  No swap needed
  Compare 25 and 40
  No swap needed
  Compare 40 and -1
  Swap 40 and -1
  List after swap: [-42, 25, -1, 40, 7, 17, -82, 74]
  Compare 40 and 7
  Swap 40 and 7
  List after swap: [-42, 25, -1, 7, 40, 17, -82, 74]
  Compare 40 and 17
  Swap 40 and 17
  List after swap: [-42, 25, -1, 7, 17, 40, -82, 74]
  Compare 40 and -82
  Swap 40 and -82
  List after swap: [-42, 25, -1, 7, 17, -82, 40, 74]

Pass 3:
  Compare -42 and 25
  No swap needed
  Compare 25 and -1
  Swap 25 and -1
  List after swap: [-42, -1, 25, 7, 17, -82, 40, 74]
  Compare 25 and 7
  Swap 25 and 7
  List after swap: [-42, -1, 7, 25, 17, -82, 40, 74]
  Compare 25 and 17
  Swap 25 and 17
  List after swap: [-42, -1, 7, 17, 25, -82, 40, 74]
  Compare 25 and -82
  Swap 25 and -82
  List after swap: [-42, -1, 7, 17, -82, 25, 40, 74]

Pass 4:
  Compare -42 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  Compare 7 and 17
  No swap needed
  Compare 17 and -82
  Swap 17 and -82
  List after swap: [-42, -1, 7, -82, 17, 25, 40, 74]

Pass 5:
  Compare -42 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  Compare 7 and -82
  Swap 7 and -82
  List after swap: [-42, -1, -82, 7, 17, 25, 40, 74]

Pass 6:
  Compare -42 and -1
  No swap needed
  Compare -1 and -82
  Swap -1 and -82
  List after swap: [-42, -82, -1, 7, 17, 25, 40, 74]

Pass 7:
  Compare -42 and -82
  Swap -42 and -82
  List after swap: [-82, -42, -1, 7, 17, 25, 40, 74]

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

Final sorted list: [-82, -42, -1, 7, 17, 25, 40, 74]
</think>

<response>-82, -42, -1, 7, 17, 25, 40, 74</response>


input: Using the bubble sort method, sort -8, 33 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-8, 33]

Pass 1:
  Compare -8 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-8, 33]
</think>

<response>-8, 33</response>


input: Implement bubble sort on -77, -25, 8, -18, -34, -82, 61, 31, -23, -36 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-77, -25, 8, -18, -34, -82, 61, 31, -23, -36]

Pass 1:
  Compare -77 and -25
  No swap needed
  Compare -25 and 8
  No swap needed
  Compare 8 and -18
  Swap 8 and -18
  List after swap: [-77, -25, -18, 8, -34, -82, 61, 31, -23, -36]
  Compare 8 and -34
  Swap 8 and -34
  List after swap: [-77, -25, -18, -34, 8, -82, 61, 31, -23, -36]
  Compare 8 and -82
  Swap 8 and -82
  List after swap: [-77, -25, -18, -34, -82, 8, 61, 31, -23, -36]
  Compare 8 and 61
  No swap needed
  Compare 61 and 31
  Swap 61 and 31
  List after swap: [-77, -25, -18, -34, -82, 8, 31, 61, -23, -36]
  Compare 61 and -23
  Swap 61 and -23
  List after swap: [-77, -25, -18, -34, -82, 8, 31, -23, 61, -36]
  Compare 61 and -36
  Swap 61 and -36
  List after swap: [-77, -25, -18, -34, -82, 8, 31, -23, -36, 61]

Pass 2:
  Compare -77 and -25
  No swap needed
  Compare -25 and -18
  No swap needed
  Compare -18 and -34
  Swap -18 and -34
  List after swap: [-77, -25, -34, -18, -82, 8, 31, -23, -36, 61]
  Compare -18 and -82
  Swap -18 and -82
  List after swap: [-77, -25, -34, -82, -18, 8, 31, -23, -36, 61]
  Compare -18 and 8
  No swap needed
  Compare 8 and 31
  No swap needed
  Compare 31 and -23
  Swap 31 and -23
  List after swap: [-77, -25, -34, -82, -18, 8, -23, 31, -36, 61]
  Compare 31 and -36
  Swap 31 and -36
  List after swap: [-77, -25, -34, -82, -18, 8, -23, -36, 31, 61]

Pass 3:
  Compare -77 and -25
  No swap needed
  Compare -25 and -34
  Swap -25 and -34
  List after swap: [-77, -34, -25, -82, -18, 8, -23, -36, 31, 61]
  Compare -25 and -82
  Swap -25 and -82
  List after swap: [-77, -34, -82, -25, -18, 8, -23, -36, 31, 61]
  Compare -25 and -18
  No swap needed
  Compare -18 and 8
  No swap needed
  Compare 8 and -23
  Swap 8 and -23
  List after swap: [-77, -34, -82, -25, -18, -23, 8, -36, 31, 61]
  Compare 8 and -36
  Swap 8 and -36
  List after swap: [-77, -34, -82, -25, -18, -23, -36, 8, 31, 61]

Pass 4:
  Compare -77 and -34
  No swap needed
  Compare -34 and -82
  Swap -34 and -82
  List after swap: [-77, -82, -34, -25, -18, -23, -36, 8, 31, 61]
  Compare -34 and -25
  No swap needed
  Compare -25 and -18
  No swap needed
  Compare -18 and -23
  Swap -18 and -23
  List after swap: [-77, -82, -34, -25, -23, -18, -36, 8, 31, 61]
  Compare -18 and -36
  Swap -18 and -36
  List after swap: [-77, -82, -34, -25, -23, -36, -18, 8, 31, 61]

Pass 5:
  Compare -77 and -82
  Swap -77 and -82
  List after swap: [-82, -77, -34, -25, -23, -36, -18, 8, 31, 61]
  Compare -77 and -34
  No swap needed
  Compare -34 and -25
  No swap needed
  Compare -25 and -23
  No swap needed
  Compare -23 and -36
  Swap -23 and -36
  List after swap: [-82, -77, -34, -25, -36, -23, -18, 8, 31, 61]

Pass 6:
  Compare -82 and -77
  No swap needed
  Compare -77 and -34
  No swap needed
  Compare -34 and -25
  No swap needed
  Compare -25 and -36
  Swap -25 and -36
  List after swap: [-82, -77, -34, -36, -25, -23, -18, 8, 31, 61]

Pass 7:
  Compare -82 and -77
  No swap needed
  Compare -77 and -34
  No swap needed
  Compare -34 and -36
  Swap -34 and -36
  List after swap: [-82, -77, -36, -34, -25, -23, -18, 8, 31, 61]

Pass 8:
  Compare -82 and -77
  No swap needed
  Compare -77 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -77, -36, -34, -25, -23, -18, 8, 31, 61]
</think>

<response>-82, -77, -36, -34, -25, -23, -18, 8, 31, 61</response>


input: Use the bubble sort technique to reorder -55, 73, -4, -78, 50, 0, -1, -93, -77 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-55, 73, -4, -78, 50, 0, -1, -93, -77]

Pass 1:
  Compare -55 and 73
  No swap needed
  Compare 73 and -4
  Swap 73 and -4
  List after swap: [-55, -4, 73, -78, 50, 0, -1, -93, -77]
  Compare 73 and -78
  Swap 73 and -78
  List after swap: [-55, -4, -78, 73, 50, 0, -1, -93, -77]
  Compare 73 and 50
  Swap 73 and 50
  List after swap: [-55, -4, -78, 50, 73, 0, -1, -93, -77]
  Compare 73 and 0
  Swap 73 and 0
  List after swap: [-55, -4, -78, 50, 0, 73, -1, -93, -77]
  Compare 73 and -1
  Swap 73 and -1
  List after swap: [-55, -4, -78, 50, 0, -1, 73, -93, -77]
  Compare 73 and -93
  Swap 73 and -93
  List after swap: [-55, -4, -78, 50, 0, -1, -93, 73, -77]
  Compare 73 and -77
  Swap 73 and -77
  List after swap: [-55, -4, -78, 50, 0, -1, -93, -77, 73]

Pass 2:
  Compare -55 and -4
  No swap needed
  Compare -4 and -78
  Swap -4 and -78
  List after swap: [-55, -78, -4, 50, 0, -1, -93, -77, 73]
  Compare -4 and 50
  No swap needed
  Compare 50 and 0
  Swap 50 and 0
  List after swap: [-55, -78, -4, 0, 50, -1, -93, -77, 73]
  Compare 50 and -1
  Swap 50 and -1
  List after swap: [-55, -78, -4, 0, -1, 50, -93, -77, 73]
  Compare 50 and -93
  Swap 50 and -93
  List after swap: [-55, -78, -4, 0, -1, -93, 50, -77, 73]
  Compare 50 and -77
  Swap 50 and -77
  List after swap: [-55, -78, -4, 0, -1, -93, -77, 50, 73]

Pass 3:
  Compare -55 and -78
  Swap -55 and -78
  List after swap: [-78, -55, -4, 0, -1, -93, -77, 50, 73]
  Compare -55 and -4
  No swap needed
  Compare -4 and 0
  No swap needed
  Compare 0 and -1
  Swap 0 and -1
  List after swap: [-78, -55, -4, -1, 0, -93, -77, 50, 73]
  Compare 0 and -93
  Swap 0 and -93
  List after swap: [-78, -55, -4, -1, -93, 0, -77, 50, 73]
  Compare 0 and -77
  Swap 0 and -77
  List after swap: [-78, -55, -4, -1, -93, -77, 0, 50, 73]

Pass 4:
  Compare -78 and -55
  No swap needed
  Compare -55 and -4
  No swap needed
  Compare -4 and -1
  No swap needed
  Compare -1 and -93
  Swap -1 and -93
  List after swap: [-78, -55, -4, -93, -1, -77, 0, 50, 73]
  Compare -1 and -77
  Swap -1 and -77
  List after swap: [-78, -55, -4, -93, -77, -1, 0, 50, 73]

Pass 5:
  Compare -78 and -55
  No swap needed
  Compare -55 and -4
  No swap needed
  Compare -4 and -93
  Swap -4 and -93
  List after swap: [-78, -55, -93, -4, -77, -1, 0, 50, 73]
  Compare -4 and -77
  Swap -4 and -77
  List after swap: [-78, -55, -93, -77, -4, -1, 0, 50, 73]

Pass 6:
  Compare -78 and -55
  No swap needed
  Compare -55 and -93
  Swap -55 and -93
  List after swap: [-78, -93, -55, -77, -4, -1, 0, 50, 73]
  Compare -55 and -77
  Swap -55 and -77
  List after swap: [-78, -93, -77, -55, -4, -1, 0, 50, 73]

Pass 7:
  Compare -78 and -93
  Swap -78 and -93
  List after swap: [-93, -78, -77, -55, -4, -1, 0, 50, 73]
  Compare -78 and -77
  No swap needed

Pass 8:
  Compare -93 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -78, -77, -55, -4, -1, 0, 50, 73]
</think>

<response>-93, -78, -77, -55, -4, -1, 0, 50, 73</response>


input: Sort these integers -32, 19, -29, -35, 16, 2, 98, 34, 31 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-32, 19, -29, -35, 16, 2, 98, 34, 31]

Pass 1:
  Compare -32 and 19
  No swap needed
  Compare 19 and -29
  Swap 19 and -29
  List after swap: [-32, -29, 19, -35, 16, 2, 98, 34, 31]
  Compare 19 and -35
  Swap 19 and -35
  List after swap: [-32, -29, -35, 19, 16, 2, 98, 34, 31]
  Compare 19 and 16
  Swap 19 and 16
  List after swap: [-32, -29, -35, 16, 19, 2, 98, 34, 31]
  Compare 19 and 2
  Swap 19 and 2
  List after swap: [-32, -29, -35, 16, 2, 19, 98, 34, 31]
  Compare 19 and 98
  No swap needed
  Compare 98 and 34
  Swap 98 and 34
  List after swap: [-32, -29, -35, 16, 2, 19, 34, 98, 31]
  Compare 98 and 31
  Swap 98 and 31
  List after swap: [-32, -29, -35, 16, 2, 19, 34, 31, 98]

Pass 2:
  Compare -32 and -29
  No swap needed
  Compare -29 and -35
  Swap -29 and -35
  List after swap: [-32, -35, -29, 16, 2, 19, 34, 31, 98]
  Compare -29 and 16
  No swap needed
  Compare 16 and 2
  Swap 16 and 2
  List after swap: [-32, -35, -29, 2, 16, 19, 34, 31, 98]
  Compare 16 and 19
  No swap needed
  Compare 19 and 34
  No swap needed
  Compare 34 and 31
  Swap 34 and 31
  List after swap: [-32, -35, -29, 2, 16, 19, 31, 34, 98]

Pass 3:
  Compare -32 and -35
  Swap -32 and -35
  List after swap: [-35, -32, -29, 2, 16, 19, 31, 34, 98]
  Compare -32 and -29
  No swap needed
  Compare -29 and 2
  No swap needed
  Compare 2 and 16
  No swap needed
  Compare 16 and 19
  No swap needed
  Compare 19 and 31
  No swap needed

Pass 4:
  Compare -35 and -32
  No swap needed
  Compare -32 and -29
  No swap needed
  Compare -29 and 2
  No swap needed
  Compare 2 and 16
  No swap needed
  Compare 16 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -32, -29, 2, 16, 19, 31, 34, 98]
</think>

<response>-35, -32, -29, 2, 16, 19, 31, 34, 98</response>


input: Use the bubble sort technique to reorder 25, 48, -9, 94 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [25, 48, -9, 94]

Pass 1:
  Compare 25 and 48
  No swap needed
  Compare 48 and -9
  Swap 48 and -9
  List after swap: [25, -9, 48, 94]
  Compare 48 and 94
  No swap needed

Pass 2:
  Compare 25 and -9
  Swap 25 and -9
  List after swap: [-9, 25, 48, 94]
  Compare 25 and 48
  No swap needed

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

Final sorted list: [-9, 25, 48, 94]
</think>

<response>-9, 25, 48, 94</response>


input: Using the bubble sort method, sort -81, 93, -95, 97, 15, 17, 62, -62, -6 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-81, 93, -95, 97, 15, 17, 62, -62, -6]

Pass 1:
  Compare -81 and 93
  No swap needed
  Compare 93 and -95
  Swap 93 and -95
  List after swap: [-81, -95, 93, 97, 15, 17, 62, -62, -6]
  Compare 93 and 97
  No swap needed
  Compare 97 and 15
  Swap 97 and 15
  List after swap: [-81, -95, 93, 15, 97, 17, 62, -62, -6]
  Compare 97 and 17
  Swap 97 and 17
  List after swap: [-81, -95, 93, 15, 17, 97, 62, -62, -6]
  Compare 97 and 62
  Swap 97 and 62
  List after swap: [-81, -95, 93, 15, 17, 62, 97, -62, -6]
  Compare 97 and -62
  Swap 97 and -62
  List after swap: [-81, -95, 93, 15, 17, 62, -62, 97, -6]
  Compare 97 and -6
  Swap 97 and -6
  List after swap: [-81, -95, 93, 15, 17, 62, -62, -6, 97]

Pass 2:
  Compare -81 and -95
  Swap -81 and -95
  List after swap: [-95, -81, 93, 15, 17, 62, -62, -6, 97]
  Compare -81 and 93
  No swap needed
  Compare 93 and 15
  Swap 93 and 15
  List after swap: [-95, -81, 15, 93, 17, 62, -62, -6, 97]
  Compare 93 and 17
  Swap 93 and 17
  List after swap: [-95, -81, 15, 17, 93, 62, -62, -6, 97]
  Compare 93 and 62
  Swap 93 and 62
  List after swap: [-95, -81, 15, 17, 62, 93, -62, -6, 97]
  Compare 93 and -62
  Swap 93 and -62
  List after swap: [-95, -81, 15, 17, 62, -62, 93, -6, 97]
  Compare 93 and -6
  Swap 93 and -6
  List after swap: [-95, -81, 15, 17, 62, -62, -6, 93, 97]

Pass 3:
  Compare -95 and -81
  No swap needed
  Compare -81 and 15
  No swap needed
  Compare 15 and 17
  No swap needed
  Compare 17 and 62
  No swap needed
  Compare 62 and -62
  Swap 62 and -62
  List after swap: [-95, -81, 15, 17, -62, 62, -6, 93, 97]
  Compare 62 and -6
  Swap 62 and -6
  List after swap: [-95, -81, 15, 17, -62, -6, 62, 93, 97]

Pass 4:
  Compare -95 and -81
  No swap needed
  Compare -81 and 15
  No swap needed
  Compare 15 and 17
  No swap needed
  Compare 17 and -62
  Swap 17 and -62
  List after swap: [-95, -81, 15, -62, 17, -6, 62, 93, 97]
  Compare 17 and -6
  Swap 17 and -6
  List after swap: [-95, -81, 15, -62, -6, 17, 62, 93, 97]

Pass 5:
  Compare -95 and -81
  No swap needed
  Compare -81 and 15
  No swap needed
  Compare 15 and -62
  Swap 15 and -62
  List after swap: [-95, -81, -62, 15, -6, 17, 62, 93, 97]
  Compare 15 and -6
  Swap 15 and -6
  List after swap: [-95, -81, -62, -6, 15, 17, 62, 93, 97]

Pass 6:
  Compare -95 and -81
  No swap needed
  Compare -81 and -62
  No swap needed
  Compare -62 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -81, -62, -6, 15, 17, 62, 93, 97]
</think>

<response>-95, -81, -62, -6, 15, 17, 62, 93, 97</response>


input: Demonstrate how bubble sort orders the integers -47, 81, -21, -93, 29, -50 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-47, 81, -21, -93, 29, -50]

Pass 1:
  Compare -47 and 81
  No swap needed
  Compare 81 and -21
  Swap 81 and -21
  List after swap: [-47, -21, 81, -93, 29, -50]
  Compare 81 and -93
  Swap 81 and -93
  List after swap: [-47, -21, -93, 81, 29, -50]
  Compare 81 and 29
  Swap 81 and 29
  List after swap: [-47, -21, -93, 29, 81, -50]
  Compare 81 and -50
  Swap 81 and -50
  List after swap: [-47, -21, -93, 29, -50, 81]

Pass 2:
  Compare -47 and -21
  No swap needed
  Compare -21 and -93
  Swap -21 and -93
  List after swap: [-47, -93, -21, 29, -50, 81]
  Compare -21 and 29
  No swap needed
  Compare 29 and -50
  Swap 29 and -50
  List after swap: [-47, -93, -21, -50, 29, 81]

Pass 3:
  Compare -47 and -93
  Swap -47 and -93
  List after swap: [-93, -47, -21, -50, 29, 81]
  Compare -47 and -21
  No swap needed
  Compare -21 and -50
  Swap -21 and -50
  List after swap: [-93, -47, -50, -21, 29, 81]

Pass 4:
  Compare -93 and -47
  No swap needed
  Compare -47 and -50
  Swap -47 and -50
  List after swap: [-93, -50, -47, -21, 29, 81]

Pass 5:
  Compare -93 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -50, -47, -21, 29, 81]
</think>

<response>-93, -50, -47, -21, 29, 81</response>


input: Execute bubble sort to sort 86, -87, 37, -78, 30, -92, -86, 40, 1 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [86, -87, 37, -78, 30, -92, -86, 40, 1]

Pass 1:
  Compare 86 and -87
  Swap 86 and -87
  List after swap: [-87, 86, 37, -78, 30, -92, -86, 40, 1]
  Compare 86 and 37
  Swap 86 and 37
  List after swap: [-87, 37, 86, -78, 30, -92, -86, 40, 1]
  Compare 86 and -78
  Swap 86 and -78
  List after swap: [-87, 37, -78, 86, 30, -92, -86, 40, 1]
  Compare 86 and 30
  Swap 86 and 30
  List after swap: [-87, 37, -78, 30, 86, -92, -86, 40, 1]
  Compare 86 and -92
  Swap 86 and -92
  List after swap: [-87, 37, -78, 30, -92, 86, -86, 40, 1]
  Compare 86 and -86
  Swap 86 and -86
  List after swap: [-87, 37, -78, 30, -92, -86, 86, 40, 1]
  Compare 86 and 40
  Swap 86 and 40
  List after swap: [-87, 37, -78, 30, -92, -86, 40, 86, 1]
  Compare 86 and 1
  Swap 86 and 1
  List after swap: [-87, 37, -78, 30, -92, -86, 40, 1, 86]

Pass 2:
  Compare -87 and 37
  No swap needed
  Compare 37 and -78
  Swap 37 and -78
  List after swap: [-87, -78, 37, 30, -92, -86, 40, 1, 86]
  Compare 37 and 30
  Swap 37 and 30
  List after swap: [-87, -78, 30, 37, -92, -86, 40, 1, 86]
  Compare 37 and -92
  Swap 37 and -92
  List after swap: [-87, -78, 30, -92, 37, -86, 40, 1, 86]
  Compare 37 and -86
  Swap 37 and -86
  List after swap: [-87, -78, 30, -92, -86, 37, 40, 1, 86]
  Compare 37 and 40
  No swap needed
  Compare 40 and 1
  Swap 40 and 1
  List after swap: [-87, -78, 30, -92, -86, 37, 1, 40, 86]

Pass 3:
  Compare -87 and -78
  No swap needed
  Compare -78 and 30
  No swap needed
  Compare 30 and -92
  Swap 30 and -92
  List after swap: [-87, -78, -92, 30, -86, 37, 1, 40, 86]
  Compare 30 and -86
  Swap 30 and -86
  List after swap: [-87, -78, -92, -86, 30, 37, 1, 40, 86]
  Compare 30 and 37
  No swap needed
  Compare 37 and 1
  Swap 37 and 1
  List after swap: [-87, -78, -92, -86, 30, 1, 37, 40, 86]

Pass 4:
  Compare -87 and -78
  No swap needed
  Compare -78 and -92
  Swap -78 and -92
  List after swap: [-87, -92, -78, -86, 30, 1, 37, 40, 86]
  Compare -78 and -86
  Swap -78 and -86
  List after swap: [-87, -92, -86, -78, 30, 1, 37, 40, 86]
  Compare -78 and 30
  No swap needed
  Compare 30 and 1
  Swap 30 and 1
  List after swap: [-87, -92, -86, -78, 1, 30, 37, 40, 86]

Pass 5:
  Compare -87 and -92
  Swap -87 and -92
  List after swap: [-92, -87, -86, -78, 1, 30, 37, 40, 86]
  Compare -87 and -86
  No swap needed
  Compare -86 and -78
  No swap needed
  Compare -78 and 1
  No swap needed

Pass 6:
  Compare -92 and -87
  No swap needed
  Compare -87 and -86
  No swap needed
  Compare -86 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -87, -86, -78, 1, 30, 37, 40, 86]
</think>

<response>-92, -87, -86, -78, 1, 30, 37, 40, 86</response>


input: Use the bubble sort technique to reorder 25, 17, -96, 31, 5, 22, -18, -98 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [25, 17, -96, 31, 5, 22, -18, -98]

Pass 1:
  Compare 25 and 17
  Swap 25 and 17
  List after swap: [17, 25, -96, 31, 5, 22, -18, -98]
  Compare 25 and -96
  Swap 25 and -96
  List after swap: [17, -96, 25, 31, 5, 22, -18, -98]
  Compare 25 and 31
  No swap needed
  Compare 31 and 5
  Swap 31 and 5
  List after swap: [17, -96, 25, 5, 31, 22, -18, -98]
  Compare 31 and 22
  Swap 31 and 22
  List after swap: [17, -96, 25, 5, 22, 31, -18, -98]
  Compare 31 and -18
  Swap 31 and -18
  List after swap: [17, -96, 25, 5, 22, -18, 31, -98]
  Compare 31 and -98
  Swap 31 and -98
  List after swap: [17, -96, 25, 5, 22, -18, -98, 31]

Pass 2:
  Compare 17 and -96
  Swap 17 and -96
  List after swap: [-96, 17, 25, 5, 22, -18, -98, 31]
  Compare 17 and 25
  No swap needed
  Compare 25 and 5
  Swap 25 and 5
  List after swap: [-96, 17, 5, 25, 22, -18, -98, 31]
  Compare 25 and 22
  Swap 25 and 22
  List after swap: [-96, 17, 5, 22, 25, -18, -98, 31]
  Compare 25 and -18
  Swap 25 and -18
  List after swap: [-96, 17, 5, 22, -18, 25, -98, 31]
  Compare 25 and -98
  Swap 25 and -98
  List after swap: [-96, 17, 5, 22, -18, -98, 25, 31]

Pass 3:
  Compare -96 and 17
  No swap needed
  Compare 17 and 5
  Swap 17 and 5
  List after swap: [-96, 5, 17, 22, -18, -98, 25, 31]
  Compare 17 and 22
  No swap needed
  Compare 22 and -18
  Swap 22 and -18
  List after swap: [-96, 5, 17, -18, 22, -98, 25, 31]
  Compare 22 and -98
  Swap 22 and -98
  List after swap: [-96, 5, 17, -18, -98, 22, 25, 31]

Pass 4:
  Compare -96 and 5
  No swap needed
  Compare 5 and 17
  No swap needed
  Compare 17 and -18
  Swap 17 and -18
  List after swap: [-96, 5, -18, 17, -98, 22, 25, 31]
  Compare 17 and -98
  Swap 17 and -98
  List after swap: [-96, 5, -18, -98, 17, 22, 25, 31]

Pass 5:
  Compare -96 and 5
  No swap needed
  Compare 5 and -18
  Swap 5 and -18
  List after swap: [-96, -18, 5, -98, 17, 22, 25, 31]
  Compare 5 and -98
  Swap 5 and -98
  List after swap: [-96, -18, -98, 5, 17, 22, 25, 31]

Pass 6:
  Compare -96 and -18
  No swap needed
  Compare -18 and -98
  Swap -18 and -98
  List after swap: [-96, -98, -18, 5, 17, 22, 25, 31]

Pass 7:
  Compare -96 and -98
  Swap -96 and -98
  List after swap: [-98, -96, -18, 5, 17, 22, 25, 31]

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

Final sorted list: [-98, -96, -18, 5, 17, 22, 25, 31]
</think>

<response>-98, -96, -18, 5, 17, 22, 25, 31</response>


input: Demonstrate how bubble sort orders the integers -31, 21, 83, -80, -91, 43, 17 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-31, 21, 83, -80, -91, 43, 17]

Pass 1:
  Compare -31 and 21
  No swap needed
  Compare 21 and 83
  No swap needed
  Compare 83 and -80
  Swap 83 and -80
  List after swap: [-31, 21, -80, 83, -91, 43, 17]
  Compare 83 and -91
  Swap 83 and -91
  List after swap: [-31, 21, -80, -91, 83, 43, 17]
  Compare 83 and 43
  Swap 83 and 43
  List after swap: [-31, 21, -80, -91, 43, 83, 17]
  Compare 83 and 17
  Swap 83 and 17
  List after swap: [-31, 21, -80, -91, 43, 17, 83]

Pass 2:
  Compare -31 and 21
  No swap needed
  Compare 21 and -80
  Swap 21 and -80
  List after swap: [-31, -80, 21, -91, 43, 17, 83]
  Compare 21 and -91
  Swap 21 and -91
  List after swap: [-31, -80, -91, 21, 43, 17, 83]
  Compare 21 and 43
  No swap needed
  Compare 43 and 17
  Swap 43 and 17
  List after swap: [-31, -80, -91, 21, 17, 43, 83]

Pass 3:
  Compare -31 and -80
  Swap -31 and -80
  List after swap: [-80, -31, -91, 21, 17, 43, 83]
  Compare -31 and -91
  Swap -31 and -91
  List after swap: [-80, -91, -31, 21, 17, 43, 83]
  Compare -31 and 21
  No swap needed
  Compare 21 and 17
  Swap 21 and 17
  List after swap: [-80, -91, -31, 17, 21, 43, 83]

Pass 4:
  Compare -80 and -91
  Swap -80 and -91
  List after swap: [-91, -80, -31, 17, 21, 43, 83]
  Compare -80 and -31
  No swap needed
  Compare -31 and 17
  No swap needed

Pass 5:
  Compare -91 and -80
  No swap needed
  Compare -80 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -80, -31, 17, 21, 43, 83]
</think>

<response>-91, -80, -31, 17, 21, 43, 83</response>