input: Execute bubble sort to sort 72, 71, -6, -1, 51, 67, 7, 61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [72, 71, -6, -1, 51, 67, 7, 61]

Pass 1:
  Compare 72 and 71
  Swap 72 and 71
  List after swap: [71, 72, -6, -1, 51, 67, 7, 61]
  Compare 72 and -6
  Swap 72 and -6
  List after swap: [71, -6, 72, -1, 51, 67, 7, 61]
  Compare 72 and -1
  Swap 72 and -1
  List after swap: [71, -6, -1, 72, 51, 67, 7, 61]
  Compare 72 and 51
  Swap 72 and 51
  List after swap: [71, -6, -1, 51, 72, 67, 7, 61]
  Compare 72 and 67
  Swap 72 and 67
  List after swap: [71, -6, -1, 51, 67, 72, 7, 61]
  Compare 72 and 7
  Swap 72 and 7
  List after swap: [71, -6, -1, 51, 67, 7, 72, 61]
  Compare 72 and 61
  Swap 72 and 61
  List after swap: [71, -6, -1, 51, 67, 7, 61, 72]

Pass 2:
  Compare 71 and -6
  Swap 71 and -6
  List after swap: [-6, 71, -1, 51, 67, 7, 61, 72]
  Compare 71 and -1
  Swap 71 and -1
  List after swap: [-6, -1, 71, 51, 67, 7, 61, 72]
  Compare 71 and 51
  Swap 71 and 51
  List after swap: [-6, -1, 51, 71, 67, 7, 61, 72]
  Compare 71 and 67
  Swap 71 and 67
  List after swap: [-6, -1, 51, 67, 71, 7, 61, 72]
  Compare 71 and 7
  Swap 71 and 7
  List after swap: [-6, -1, 51, 67, 7, 71, 61, 72]
  Compare 71 and 61
  Swap 71 and 61
  List after swap: [-6, -1, 51, 67, 7, 61, 71, 72]

Pass 3:
  Compare -6 and -1
  No swap needed
  Compare -1 and 51
  No swap needed
  Compare 51 and 67
  No swap needed
  Compare 67 and 7
  Swap 67 and 7
  List after swap: [-6, -1, 51, 7, 67, 61, 71, 72]
  Compare 67 and 61
  Swap 67 and 61
  List after swap: [-6, -1, 51, 7, 61, 67, 71, 72]

Pass 4:
  Compare -6 and -1
  No swap needed
  Compare -1 and 51
  No swap needed
  Compare 51 and 7
  Swap 51 and 7
  List after swap: [-6, -1, 7, 51, 61, 67, 71, 72]
  Compare 51 and 61
  No swap needed

Pass 5:
  Compare -6 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  Compare 7 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-6, -1, 7, 51, 61, 67, 71, 72]
</think>

<response>-6, -1, 7, 51, 61, 67, 71, 72</response>


input: Use the bubble sort technique to reorder -63, 94, -51, -7 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-63, 94, -51, -7]

Pass 1:
  Compare -63 and 94
  No swap needed
  Compare 94 and -51
  Swap 94 and -51
  List after swap: [-63, -51, 94, -7]
  Compare 94 and -7
  Swap 94 and -7
  List after swap: [-63, -51, -7, 94]

Pass 2:
  Compare -63 and -51
  No swap needed
  Compare -51 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -51, -7, 94]
</think>

<response>-63, -51, -7, 94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -89, 45, -75, -10, -31, 75, 58, 52, -97, -64.

output:
<think>
Initial list: [-89, 45, -75, -10, -31, 75, 58, 52, -97, -64]

Pass 1:
  Compare -89 and 45
  No swap needed
  Compare 45 and -75
  Swap 45 and -75
  List after swap: [-89, -75, 45, -10, -31, 75, 58, 52, -97, -64]
  Compare 45 and -10
  Swap 45 and -10
  List after swap: [-89, -75, -10, 45, -31, 75, 58, 52, -97, -64]
  Compare 45 and -31
  Swap 45 and -31
  List after swap: [-89, -75, -10, -31, 45, 75, 58, 52, -97, -64]
  Compare 45 and 75
  No swap needed
  Compare 75 and 58
  Swap 75 and 58
  List after swap: [-89, -75, -10, -31, 45, 58, 75, 52, -97, -64]
  Compare 75 and 52
  Swap 75 and 52
  List after swap: [-89, -75, -10, -31, 45, 58, 52, 75, -97, -64]
  Compare 75 and -97
  Swap 75 and -97
  List after swap: [-89, -75, -10, -31, 45, 58, 52, -97, 75, -64]
  Compare 75 and -64
  Swap 75 and -64
  List after swap: [-89, -75, -10, -31, 45, 58, 52, -97, -64, 75]

Pass 2:
  Compare -89 and -75
  No swap needed
  Compare -75 and -10
  No swap needed
  Compare -10 and -31
  Swap -10 and -31
  List after swap: [-89, -75, -31, -10, 45, 58, 52, -97, -64, 75]
  Compare -10 and 45
  No swap needed
  Compare 45 and 58
  No swap needed
  Compare 58 and 52
  Swap 58 and 52
  List after swap: [-89, -75, -31, -10, 45, 52, 58, -97, -64, 75]
  Compare 58 and -97
  Swap 58 and -97
  List after swap: [-89, -75, -31, -10, 45, 52, -97, 58, -64, 75]
  Compare 58 and -64
  Swap 58 and -64
  List after swap: [-89, -75, -31, -10, 45, 52, -97, -64, 58, 75]

Pass 3:
  Compare -89 and -75
  No swap needed
  Compare -75 and -31
  No swap needed
  Compare -31 and -10
  No swap needed
  Compare -10 and 45
  No swap needed
  Compare 45 and 52
  No swap needed
  Compare 52 and -97
  Swap 52 and -97
  List after swap: [-89, -75, -31, -10, 45, -97, 52, -64, 58, 75]
  Compare 52 and -64
  Swap 52 and -64
  List after swap: [-89, -75, -31, -10, 45, -97, -64, 52, 58, 75]

Pass 4:
  Compare -89 and -75
  No swap needed
  Compare -75 and -31
  No swap needed
  Compare -31 and -10
  No swap needed
  Compare -10 and 45
  No swap needed
  Compare 45 and -97
  Swap 45 and -97
  List after swap: [-89, -75, -31, -10, -97, 45, -64, 52, 58, 75]
  Compare 45 and -64
  Swap 45 and -64
  List after swap: [-89, -75, -31, -10, -97, -64, 45, 52, 58, 75]

Pass 5:
  Compare -89 and -75
  No swap needed
  Compare -75 and -31
  No swap needed
  Compare -31 and -10
  No swap needed
  Compare -10 and -97
  Swap -10 and -97
  List after swap: [-89, -75, -31, -97, -10, -64, 45, 52, 58, 75]
  Compare -10 and -64
  Swap -10 and -64
  List after swap: [-89, -75, -31, -97, -64, -10, 45, 52, 58, 75]

Pass 6:
  Compare -89 and -75
  No swap needed
  Compare -75 and -31
  No swap needed
  Compare -31 and -97
  Swap -31 and -97
  List after swap: [-89, -75, -97, -31, -64, -10, 45, 52, 58, 75]
  Compare -31 and -64
  Swap -31 and -64
  List after swap: [-89, -75, -97, -64, -31, -10, 45, 52, 58, 75]

Pass 7:
  Compare -89 and -75
  No swap needed
  Compare -75 and -97
  Swap -75 and -97
  List after swap: [-89, -97, -75, -64, -31, -10, 45, 52, 58, 75]
  Compare -75 and -64
  No swap needed

Pass 8:
  Compare -89 and -97
  Swap -89 and -97
  List after swap: [-97, -89, -75, -64, -31, -10, 45, 52, 58, 75]
  Compare -89 and -75
  No swap needed

Pass 9:
  Compare -97 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -89, -75, -64, -31, -10, 45, 52, 58, 75]
</think>

<response>-97, -89, -75, -64, -31, -10, 45, 52, 58, 75</response>


input: Perform a bubble sort on the integers -54, 37, -80, -34, -59, 73, 64, -38, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-54, 37, -80, -34, -59, 73, 64, -38]

Pass 1:
  Compare -54 and 37
  No swap needed
  Compare 37 and -80
  Swap 37 and -80
  List after swap: [-54, -80, 37, -34, -59, 73, 64, -38]
  Compare 37 and -34
  Swap 37 and -34
  List after swap: [-54, -80, -34, 37, -59, 73, 64, -38]
  Compare 37 and -59
  Swap 37 and -59
  List after swap: [-54, -80, -34, -59, 37, 73, 64, -38]
  Compare 37 and 73
  No swap needed
  Compare 73 and 64
  Swap 73 and 64
  List after swap: [-54, -80, -34, -59, 37, 64, 73, -38]
  Compare 73 and -38
  Swap 73 and -38
  List after swap: [-54, -80, -34, -59, 37, 64, -38, 73]

Pass 2:
  Compare -54 and -80
  Swap -54 and -80
  List after swap: [-80, -54, -34, -59, 37, 64, -38, 73]
  Compare -54 and -34
  No swap needed
  Compare -34 and -59
  Swap -34 and -59
  List after swap: [-80, -54, -59, -34, 37, 64, -38, 73]
  Compare -34 and 37
  No swap needed
  Compare 37 and 64
  No swap needed
  Compare 64 and -38
  Swap 64 and -38
  List after swap: [-80, -54, -59, -34, 37, -38, 64, 73]

Pass 3:
  Compare -80 and -54
  No swap needed
  Compare -54 and -59
  Swap -54 and -59
  List after swap: [-80, -59, -54, -34, 37, -38, 64, 73]
  Compare -54 and -34
  No swap needed
  Compare -34 and 37
  No swap needed
  Compare 37 and -38
  Swap 37 and -38
  List after swap: [-80, -59, -54, -34, -38, 37, 64, 73]

Pass 4:
  Compare -80 and -59
  No swap needed
  Compare -59 and -54
  No swap needed
  Compare -54 and -34
  No swap needed
  Compare -34 and -38
  Swap -34 and -38
  List after swap: [-80, -59, -54, -38, -34, 37, 64, 73]

Pass 5:
  Compare -80 and -59
  No swap needed
  Compare -59 and -54
  No swap needed
  Compare -54 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -59, -54, -38, -34, 37, 64, 73]
</think>

<response>-80, -59, -54, -38, -34, 37, 64, 73</response>


input: Perform a bubble sort on the integers 34, -97, -11, -31, 64, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [34, -97, -11, -31, 64]

Pass 1:
  Compare 34 and -97
  Swap 34 and -97
  List after swap: [-97, 34, -11, -31, 64]
  Compare 34 and -11
  Swap 34 and -11
  List after swap: [-97, -11, 34, -31, 64]
  Compare 34 and -31
  Swap 34 and -31
  List after swap: [-97, -11, -31, 34, 64]
  Compare 34 and 64
  No swap needed

Pass 2:
  Compare -97 and -11
  No swap needed
  Compare -11 and -31
  Swap -11 and -31
  List after swap: [-97, -31, -11, 34, 64]
  Compare -11 and 34
  No swap needed

Pass 3:
  Compare -97 and -31
  No swap needed
  Compare -31 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -31, -11, 34, 64]
</think>

<response>-97, -31, -11, 34, 64</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 48, -47, -96, -16, -93, 33.

output:
<think>
Initial list: [48, -47, -96, -16, -93, 33]

Pass 1:
  Compare 48 and -47
  Swap 48 and -47
  List after swap: [-47, 48, -96, -16, -93, 33]
  Compare 48 and -96
  Swap 48 and -96
  List after swap: [-47, -96, 48, -16, -93, 33]
  Compare 48 and -16
  Swap 48 and -16
  List after swap: [-47, -96, -16, 48, -93, 33]
  Compare 48 and -93
  Swap 48 and -93
  List after swap: [-47, -96, -16, -93, 48, 33]
  Compare 48 and 33
  Swap 48 and 33
  List after swap: [-47, -96, -16, -93, 33, 48]

Pass 2:
  Compare -47 and -96
  Swap -47 and -96
  List after swap: [-96, -47, -16, -93, 33, 48]
  Compare -47 and -16
  No swap needed
  Compare -16 and -93
  Swap -16 and -93
  List after swap: [-96, -47, -93, -16, 33, 48]
  Compare -16 and 33
  No swap needed

Pass 3:
  Compare -96 and -47
  No swap needed
  Compare -47 and -93
  Swap -47 and -93
  List after swap: [-96, -93, -47, -16, 33, 48]
  Compare -47 and -16
  No swap needed

Pass 4:
  Compare -96 and -93
  No swap needed
  Compare -93 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -93, -47, -16, 33, 48]
</think>

<response>-96, -93, -47, -16, 33, 48</response>


input: Demonstrate how bubble sort orders the integers -41, 0, -38, -34, 43, 62, -46, -1, 51, 68 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-41, 0, -38, -34, 43, 62, -46, -1, 51, 68]

Pass 1:
  Compare -41 and 0
  No swap needed
  Compare 0 and -38
  Swap 0 and -38
  List after swap: [-41, -38, 0, -34, 43, 62, -46, -1, 51, 68]
  Compare 0 and -34
  Swap 0 and -34
  List after swap: [-41, -38, -34, 0, 43, 62, -46, -1, 51, 68]
  Compare 0 and 43
  No swap needed
  Compare 43 and 62
  No swap needed
  Compare 62 and -46
  Swap 62 and -46
  List after swap: [-41, -38, -34, 0, 43, -46, 62, -1, 51, 68]
  Compare 62 and -1
  Swap 62 and -1
  List after swap: [-41, -38, -34, 0, 43, -46, -1, 62, 51, 68]
  Compare 62 and 51
  Swap 62 and 51
  List after swap: [-41, -38, -34, 0, 43, -46, -1, 51, 62, 68]
  Compare 62 and 68
  No swap needed

Pass 2:
  Compare -41 and -38
  No swap needed
  Compare -38 and -34
  No swap needed
  Compare -34 and 0
  No swap needed
  Compare 0 and 43
  No swap needed
  Compare 43 and -46
  Swap 43 and -46
  List after swap: [-41, -38, -34, 0, -46, 43, -1, 51, 62, 68]
  Compare 43 and -1
  Swap 43 and -1
  List after swap: [-41, -38, -34, 0, -46, -1, 43, 51, 62, 68]
  Compare 43 and 51
  No swap needed
  Compare 51 and 62
  No swap needed

Pass 3:
  Compare -41 and -38
  No swap needed
  Compare -38 and -34
  No swap needed
  Compare -34 and 0
  No swap needed
  Compare 0 and -46
  Swap 0 and -46
  List after swap: [-41, -38, -34, -46, 0, -1, 43, 51, 62, 68]
  Compare 0 and -1
  Swap 0 and -1
  List after swap: [-41, -38, -34, -46, -1, 0, 43, 51, 62, 68]
  Compare 0 and 43
  No swap needed
  Compare 43 and 51
  No swap needed

Pass 4:
  Compare -41 and -38
  No swap needed
  Compare -38 and -34
  No swap needed
  Compare -34 and -46
  Swap -34 and -46
  List after swap: [-41, -38, -46, -34, -1, 0, 43, 51, 62, 68]
  Compare -34 and -1
  No swap needed
  Compare -1 and 0
  No swap needed
  Compare 0 and 43
  No swap needed

Pass 5:
  Compare -41 and -38
  No swap needed
  Compare -38 and -46
  Swap -38 and -46
  List after swap: [-41, -46, -38, -34, -1, 0, 43, 51, 62, 68]
  Compare -38 and -34
  No swap needed
  Compare -34 and -1
  No swap needed
  Compare -1 and 0
  No swap needed

Pass 6:
  Compare -41 and -46
  Swap -41 and -46
  List after swap: [-46, -41, -38, -34, -1, 0, 43, 51, 62, 68]
  Compare -41 and -38
  No swap needed
  Compare -38 and -34
  No swap needed
  Compare -34 and -1
  No swap needed

Pass 7:
  Compare -46 and -41
  No swap needed
  Compare -41 and -38
  No swap needed
  Compare -38 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -41, -38, -34, -1, 0, 43, 51, 62, 68]
</think>

<response>-46, -41, -38, -34, -1, 0, 43, 51, 62, 68</response>


input: Execute bubble sort to sort 32, -39 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [32, -39]

Pass 1:
  Compare 32 and -39
  Swap 32 and -39
  List after swap: [-39, 32]

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

Final sorted list: [-39, 32]
</think>

<response>-39, 32</response>


input: Using the bubble sort method, sort 27, -10, 50, -8, -65, -21, 74 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [27, -10, 50, -8, -65, -21, 74]

Pass 1:
  Compare 27 and -10
  Swap 27 and -10
  List after swap: [-10, 27, 50, -8, -65, -21, 74]
  Compare 27 and 50
  No swap needed
  Compare 50 and -8
  Swap 50 and -8
  List after swap: [-10, 27, -8, 50, -65, -21, 74]
  Compare 50 and -65
  Swap 50 and -65
  List after swap: [-10, 27, -8, -65, 50, -21, 74]
  Compare 50 and -21
  Swap 50 and -21
  List after swap: [-10, 27, -8, -65, -21, 50, 74]
  Compare 50 and 74
  No swap needed

Pass 2:
  Compare -10 and 27
  No swap needed
  Compare 27 and -8
  Swap 27 and -8
  List after swap: [-10, -8, 27, -65, -21, 50, 74]
  Compare 27 and -65
  Swap 27 and -65
  List after swap: [-10, -8, -65, 27, -21, 50, 74]
  Compare 27 and -21
  Swap 27 and -21
  List after swap: [-10, -8, -65, -21, 27, 50, 74]
  Compare 27 and 50
  No swap needed

Pass 3:
  Compare -10 and -8
  No swap needed
  Compare -8 and -65
  Swap -8 and -65
  List after swap: [-10, -65, -8, -21, 27, 50, 74]
  Compare -8 and -21
  Swap -8 and -21
  List after swap: [-10, -65, -21, -8, 27, 50, 74]
  Compare -8 and 27
  No swap needed

Pass 4:
  Compare -10 and -65
  Swap -10 and -65
  List after swap: [-65, -10, -21, -8, 27, 50, 74]
  Compare -10 and -21
  Swap -10 and -21
  List after swap: [-65, -21, -10, -8, 27, 50, 74]
  Compare -10 and -8
  No swap needed

Pass 5:
  Compare -65 and -21
  No swap needed
  Compare -21 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -21, -10, -8, 27, 50, 74]
</think>

<response>-65, -21, -10, -8, 27, 50, 74</response>


input: Sort the list -83, -79, 71, -85, 0, -4, -97, 70, 68 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-83, -79, 71, -85, 0, -4, -97, 70, 68]

Pass 1:
  Compare -83 and -79
  No swap needed
  Compare -79 and 71
  No swap needed
  Compare 71 and -85
  Swap 71 and -85
  List after swap: [-83, -79, -85, 71, 0, -4, -97, 70, 68]
  Compare 71 and 0
  Swap 71 and 0
  List after swap: [-83, -79, -85, 0, 71, -4, -97, 70, 68]
  Compare 71 and -4
  Swap 71 and -4
  List after swap: [-83, -79, -85, 0, -4, 71, -97, 70, 68]
  Compare 71 and -97
  Swap 71 and -97
  List after swap: [-83, -79, -85, 0, -4, -97, 71, 70, 68]
  Compare 71 and 70
  Swap 71 and 70
  List after swap: [-83, -79, -85, 0, -4, -97, 70, 71, 68]
  Compare 71 and 68
  Swap 71 and 68
  List after swap: [-83, -79, -85, 0, -4, -97, 70, 68, 71]

Pass 2:
  Compare -83 and -79
  No swap needed
  Compare -79 and -85
  Swap -79 and -85
  List after swap: [-83, -85, -79, 0, -4, -97, 70, 68, 71]
  Compare -79 and 0
  No swap needed
  Compare 0 and -4
  Swap 0 and -4
  List after swap: [-83, -85, -79, -4, 0, -97, 70, 68, 71]
  Compare 0 and -97
  Swap 0 and -97
  List after swap: [-83, -85, -79, -4, -97, 0, 70, 68, 71]
  Compare 0 and 70
  No swap needed
  Compare 70 and 68
  Swap 70 and 68
  List after swap: [-83, -85, -79, -4, -97, 0, 68, 70, 71]

Pass 3:
  Compare -83 and -85
  Swap -83 and -85
  List after swap: [-85, -83, -79, -4, -97, 0, 68, 70, 71]
  Compare -83 and -79
  No swap needed
  Compare -79 and -4
  No swap needed
  Compare -4 and -97
  Swap -4 and -97
  List after swap: [-85, -83, -79, -97, -4, 0, 68, 70, 71]
  Compare -4 and 0
  No swap needed
  Compare 0 and 68
  No swap needed

Pass 4:
  Compare -85 and -83
  No swap needed
  Compare -83 and -79
  No swap needed
  Compare -79 and -97
  Swap -79 and -97
  List after swap: [-85, -83, -97, -79, -4, 0, 68, 70, 71]
  Compare -79 and -4
  No swap needed
  Compare -4 and 0
  No swap needed

Pass 5:
  Compare -85 and -83
  No swap needed
  Compare -83 and -97
  Swap -83 and -97
  List after swap: [-85, -97, -83, -79, -4, 0, 68, 70, 71]
  Compare -83 and -79
  No swap needed
  Compare -79 and -4
  No swap needed

Pass 6:
  Compare -85 and -97
  Swap -85 and -97
  List after swap: [-97, -85, -83, -79, -4, 0, 68, 70, 71]
  Compare -85 and -83
  No swap needed
  Compare -83 and -79
  No swap needed

Pass 7:
  Compare -97 and -85
  No swap needed
  Compare -85 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -85, -83, -79, -4, 0, 68, 70, 71]
</think>

<response>-97, -85, -83, -79, -4, 0, 68, 70, 71</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 18, 31, 3, 4, 98, -97, 49.

output:
<think>
Initial list: [18, 31, 3, 4, 98, -97, 49]

Pass 1:
  Compare 18 and 31
  No swap needed
  Compare 31 and 3
  Swap 31 and 3
  List after swap: [18, 3, 31, 4, 98, -97, 49]
  Compare 31 and 4
  Swap 31 and 4
  List after swap: [18, 3, 4, 31, 98, -97, 49]
  Compare 31 and 98
  No swap needed
  Compare 98 and -97
  Swap 98 and -97
  List after swap: [18, 3, 4, 31, -97, 98, 49]
  Compare 98 and 49
  Swap 98 and 49
  List after swap: [18, 3, 4, 31, -97, 49, 98]

Pass 2:
  Compare 18 and 3
  Swap 18 and 3
  List after swap: [3, 18, 4, 31, -97, 49, 98]
  Compare 18 and 4
  Swap 18 and 4
  List after swap: [3, 4, 18, 31, -97, 49, 98]
  Compare 18 and 31
  No swap needed
  Compare 31 and -97
  Swap 31 and -97
  List after swap: [3, 4, 18, -97, 31, 49, 98]
  Compare 31 and 49
  No swap needed

Pass 3:
  Compare 3 and 4
  No swap needed
  Compare 4 and 18
  No swap needed
  Compare 18 and -97
  Swap 18 and -97
  List after swap: [3, 4, -97, 18, 31, 49, 98]
  Compare 18 and 31
  No swap needed

Pass 4:
  Compare 3 and 4
  No swap needed
  Compare 4 and -97
  Swap 4 and -97
  List after swap: [3, -97, 4, 18, 31, 49, 98]
  Compare 4 and 18
  No swap needed

Pass 5:
  Compare 3 and -97
  Swap 3 and -97
  List after swap: [-97, 3, 4, 18, 31, 49, 98]
  Compare 3 and 4
  No swap needed

Pass 6:
  Compare -97 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, 3, 4, 18, 31, 49, 98]
</think>

<response>-97, 3, 4, 18, 31, 49, 98</response>


input: Demonstrate how bubble sort orders the integers 42, 55, -23, -66, -43, -44, -53, -95, -4 in ascending sequence, showing all steps.

output:
<think>
Initial list: [42, 55, -23, -66, -43, -44, -53, -95, -4]

Pass 1:
  Compare 42 and 55
  No swap needed
  Compare 55 and -23
  Swap 55 and -23
  List after swap: [42, -23, 55, -66, -43, -44, -53, -95, -4]
  Compare 55 and -66
  Swap 55 and -66
  List after swap: [42, -23, -66, 55, -43, -44, -53, -95, -4]
  Compare 55 and -43
  Swap 55 and -43
  List after swap: [42, -23, -66, -43, 55, -44, -53, -95, -4]
  Compare 55 and -44
  Swap 55 and -44
  List after swap: [42, -23, -66, -43, -44, 55, -53, -95, -4]
  Compare 55 and -53
  Swap 55 and -53
  List after swap: [42, -23, -66, -43, -44, -53, 55, -95, -4]
  Compare 55 and -95
  Swap 55 and -95
  List after swap: [42, -23, -66, -43, -44, -53, -95, 55, -4]
  Compare 55 and -4
  Swap 55 and -4
  List after swap: [42, -23, -66, -43, -44, -53, -95, -4, 55]

Pass 2:
  Compare 42 and -23
  Swap 42 and -23
  List after swap: [-23, 42, -66, -43, -44, -53, -95, -4, 55]
  Compare 42 and -66
  Swap 42 and -66
  List after swap: [-23, -66, 42, -43, -44, -53, -95, -4, 55]
  Compare 42 and -43
  Swap 42 and -43
  List after swap: [-23, -66, -43, 42, -44, -53, -95, -4, 55]
  Compare 42 and -44
  Swap 42 and -44
  List after swap: [-23, -66, -43, -44, 42, -53, -95, -4, 55]
  Compare 42 and -53
  Swap 42 and -53
  List after swap: [-23, -66, -43, -44, -53, 42, -95, -4, 55]
  Compare 42 and -95
  Swap 42 and -95
  List after swap: [-23, -66, -43, -44, -53, -95, 42, -4, 55]
  Compare 42 and -4
  Swap 42 and -4
  List after swap: [-23, -66, -43, -44, -53, -95, -4, 42, 55]

Pass 3:
  Compare -23 and -66
  Swap -23 and -66
  List after swap: [-66, -23, -43, -44, -53, -95, -4, 42, 55]
  Compare -23 and -43
  Swap -23 and -43
  List after swap: [-66, -43, -23, -44, -53, -95, -4, 42, 55]
  Compare -23 and -44
  Swap -23 and -44
  List after swap: [-66, -43, -44, -23, -53, -95, -4, 42, 55]
  Compare -23 and -53
  Swap -23 and -53
  List after swap: [-66, -43, -44, -53, -23, -95, -4, 42, 55]
  Compare -23 and -95
  Swap -23 and -95
  List after swap: [-66, -43, -44, -53, -95, -23, -4, 42, 55]
  Compare -23 and -4
  No swap needed

Pass 4:
  Compare -66 and -43
  No swap needed
  Compare -43 and -44
  Swap -43 and -44
  List after swap: [-66, -44, -43, -53, -95, -23, -4, 42, 55]
  Compare -43 and -53
  Swap -43 and -53
  List after swap: [-66, -44, -53, -43, -95, -23, -4, 42, 55]
  Compare -43 and -95
  Swap -43 and -95
  List after swap: [-66, -44, -53, -95, -43, -23, -4, 42, 55]
  Compare -43 and -23
  No swap needed

Pass 5:
  Compare -66 and -44
  No swap needed
  Compare -44 and -53
  Swap -44 and -53
  List after swap: [-66, -53, -44, -95, -43, -23, -4, 42, 55]
  Compare -44 and -95
  Swap -44 and -95
  List after swap: [-66, -53, -95, -44, -43, -23, -4, 42, 55]
  Compare -44 and -43
  No swap needed

Pass 6:
  Compare -66 and -53
  No swap needed
  Compare -53 and -95
  Swap -53 and -95
  List after swap: [-66, -95, -53, -44, -43, -23, -4, 42, 55]
  Compare -53 and -44
  No swap needed

Pass 7:
  Compare -66 and -95
  Swap -66 and -95
  List after swap: [-95, -66, -53, -44, -43, -23, -4, 42, 55]
  Compare -66 and -53
  No swap needed

Pass 8:
  Compare -95 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -66, -53, -44, -43, -23, -4, 42, 55]
</think>

<response>-95, -66, -53, -44, -43, -23, -4, 42, 55</response>


input: Execute bubble sort to sort -93, -40, 98, -4, -49, 27 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-93, -40, 98, -4, -49, 27]

Pass 1:
  Compare -93 and -40
  No swap needed
  Compare -40 and 98
  No swap needed
  Compare 98 and -4
  Swap 98 and -4
  List after swap: [-93, -40, -4, 98, -49, 27]
  Compare 98 and -49
  Swap 98 and -49
  List after swap: [-93, -40, -4, -49, 98, 27]
  Compare 98 and 27
  Swap 98 and 27
  List after swap: [-93, -40, -4, -49, 27, 98]

Pass 2:
  Compare -93 and -40
  No swap needed
  Compare -40 and -4
  No swap needed
  Compare -4 and -49
  Swap -4 and -49
  List after swap: [-93, -40, -49, -4, 27, 98]
  Compare -4 and 27
  No swap needed

Pass 3:
  Compare -93 and -40
  No swap needed
  Compare -40 and -49
  Swap -40 and -49
  List after swap: [-93, -49, -40, -4, 27, 98]
  Compare -40 and -4
  No swap needed

Pass 4:
  Compare -93 and -49
  No swap needed
  Compare -49 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -49, -40, -4, 27, 98]
</think>

<response>-93, -49, -40, -4, 27, 98</response>


input: Execute bubble sort to sort 72, -20, 62, 57, -73, 82, 69 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [72, -20, 62, 57, -73, 82, 69]

Pass 1:
  Compare 72 and -20
  Swap 72 and -20
  List after swap: [-20, 72, 62, 57, -73, 82, 69]
  Compare 72 and 62
  Swap 72 and 62
  List after swap: [-20, 62, 72, 57, -73, 82, 69]
  Compare 72 and 57
  Swap 72 and 57
  List after swap: [-20, 62, 57, 72, -73, 82, 69]
  Compare 72 and -73
  Swap 72 and -73
  List after swap: [-20, 62, 57, -73, 72, 82, 69]
  Compare 72 and 82
  No swap needed
  Compare 82 and 69
  Swap 82 and 69
  List after swap: [-20, 62, 57, -73, 72, 69, 82]

Pass 2:
  Compare -20 and 62
  No swap needed
  Compare 62 and 57
  Swap 62 and 57
  List after swap: [-20, 57, 62, -73, 72, 69, 82]
  Compare 62 and -73
  Swap 62 and -73
  List after swap: [-20, 57, -73, 62, 72, 69, 82]
  Compare 62 and 72
  No swap needed
  Compare 72 and 69
  Swap 72 and 69
  List after swap: [-20, 57, -73, 62, 69, 72, 82]

Pass 3:
  Compare -20 and 57
  No swap needed
  Compare 57 and -73
  Swap 57 and -73
  List after swap: [-20, -73, 57, 62, 69, 72, 82]
  Compare 57 and 62
  No swap needed
  Compare 62 and 69
  No swap needed

Pass 4:
  Compare -20 and -73
  Swap -20 and -73
  List after swap: [-73, -20, 57, 62, 69, 72, 82]
  Compare -20 and 57
  No swap needed
  Compare 57 and 62
  No swap needed

Pass 5:
  Compare -73 and -20
  No swap needed
  Compare -20 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -20, 57, 62, 69, 72, 82]
</think>

<response>-73, -20, 57, 62, 69, 72, 82</response>


input: Use the bubble sort technique to reorder 37, -85, 48, 76, -33, -78 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [37, -85, 48, 76, -33, -78]

Pass 1:
  Compare 37 and -85
  Swap 37 and -85
  List after swap: [-85, 37, 48, 76, -33, -78]
  Compare 37 and 48
  No swap needed
  Compare 48 and 76
  No swap needed
  Compare 76 and -33
  Swap 76 and -33
  List after swap: [-85, 37, 48, -33, 76, -78]
  Compare 76 and -78
  Swap 76 and -78
  List after swap: [-85, 37, 48, -33, -78, 76]

Pass 2:
  Compare -85 and 37
  No swap needed
  Compare 37 and 48
  No swap needed
  Compare 48 and -33
  Swap 48 and -33
  List after swap: [-85, 37, -33, 48, -78, 76]
  Compare 48 and -78
  Swap 48 and -78
  List after swap: [-85, 37, -33, -78, 48, 76]

Pass 3:
  Compare -85 and 37
  No swap needed
  Compare 37 and -33
  Swap 37 and -33
  List after swap: [-85, -33, 37, -78, 48, 76]
  Compare 37 and -78
  Swap 37 and -78
  List after swap: [-85, -33, -78, 37, 48, 76]

Pass 4:
  Compare -85 and -33
  No swap needed
  Compare -33 and -78
  Swap -33 and -78
  List after swap: [-85, -78, -33, 37, 48, 76]

Pass 5:
  Compare -85 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -78, -33, 37, 48, 76]
</think>

<response>-85, -78, -33, 37, 48, 76</response>


input: Use the bubble sort technique to reorder -47, 1, 56, 66, -71, 37, 85, -66, -15, -19 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-47, 1, 56, 66, -71, 37, 85, -66, -15, -19]

Pass 1:
  Compare -47 and 1
  No swap needed
  Compare 1 and 56
  No swap needed
  Compare 56 and 66
  No swap needed
  Compare 66 and -71
  Swap 66 and -71
  List after swap: [-47, 1, 56, -71, 66, 37, 85, -66, -15, -19]
  Compare 66 and 37
  Swap 66 and 37
  List after swap: [-47, 1, 56, -71, 37, 66, 85, -66, -15, -19]
  Compare 66 and 85
  No swap needed
  Compare 85 and -66
  Swap 85 and -66
  List after swap: [-47, 1, 56, -71, 37, 66, -66, 85, -15, -19]
  Compare 85 and -15
  Swap 85 and -15
  List after swap: [-47, 1, 56, -71, 37, 66, -66, -15, 85, -19]
  Compare 85 and -19
  Swap 85 and -19
  List after swap: [-47, 1, 56, -71, 37, 66, -66, -15, -19, 85]

Pass 2:
  Compare -47 and 1
  No swap needed
  Compare 1 and 56
  No swap needed
  Compare 56 and -71
  Swap 56 and -71
  List after swap: [-47, 1, -71, 56, 37, 66, -66, -15, -19, 85]
  Compare 56 and 37
  Swap 56 and 37
  List after swap: [-47, 1, -71, 37, 56, 66, -66, -15, -19, 85]
  Compare 56 and 66
  No swap needed
  Compare 66 and -66
  Swap 66 and -66
  List after swap: [-47, 1, -71, 37, 56, -66, 66, -15, -19, 85]
  Compare 66 and -15
  Swap 66 and -15
  List after swap: [-47, 1, -71, 37, 56, -66, -15, 66, -19, 85]
  Compare 66 and -19
  Swap 66 and -19
  List after swap: [-47, 1, -71, 37, 56, -66, -15, -19, 66, 85]

Pass 3:
  Compare -47 and 1
  No swap needed
  Compare 1 and -71
  Swap 1 and -71
  List after swap: [-47, -71, 1, 37, 56, -66, -15, -19, 66, 85]
  Compare 1 and 37
  No swap needed
  Compare 37 and 56
  No swap needed
  Compare 56 and -66
  Swap 56 and -66
  List after swap: [-47, -71, 1, 37, -66, 56, -15, -19, 66, 85]
  Compare 56 and -15
  Swap 56 and -15
  List after swap: [-47, -71, 1, 37, -66, -15, 56, -19, 66, 85]
  Compare 56 and -19
  Swap 56 and -19
  List after swap: [-47, -71, 1, 37, -66, -15, -19, 56, 66, 85]

Pass 4:
  Compare -47 and -71
  Swap -47 and -71
  List after swap: [-71, -47, 1, 37, -66, -15, -19, 56, 66, 85]
  Compare -47 and 1
  No swap needed
  Compare 1 and 37
  No swap needed
  Compare 37 and -66
  Swap 37 and -66
  List after swap: [-71, -47, 1, -66, 37, -15, -19, 56, 66, 85]
  Compare 37 and -15
  Swap 37 and -15
  List after swap: [-71, -47, 1, -66, -15, 37, -19, 56, 66, 85]
  Compare 37 and -19
  Swap 37 and -19
  List after swap: [-71, -47, 1, -66, -15, -19, 37, 56, 66, 85]

Pass 5:
  Compare -71 and -47
  No swap needed
  Compare -47 and 1
  No swap needed
  Compare 1 and -66
  Swap 1 and -66
  List after swap: [-71, -47, -66, 1, -15, -19, 37, 56, 66, 85]
  Compare 1 and -15
  Swap 1 and -15
  List after swap: [-71, -47, -66, -15, 1, -19, 37, 56, 66, 85]
  Compare 1 and -19
  Swap 1 and -19
  List after swap: [-71, -47, -66, -15, -19, 1, 37, 56, 66, 85]

Pass 6:
  Compare -71 and -47
  No swap needed
  Compare -47 and -66
  Swap -47 and -66
  List after swap: [-71, -66, -47, -15, -19, 1, 37, 56, 66, 85]
  Compare -47 and -15
  No swap needed
  Compare -15 and -19
  Swap -15 and -19
  List after swap: [-71, -66, -47, -19, -15, 1, 37, 56, 66, 85]

Pass 7:
  Compare -71 and -66
  No swap needed
  Compare -66 and -47
  No swap needed
  Compare -47 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -66, -47, -19, -15, 1, 37, 56, 66, 85]
</think>

<response>-71, -66, -47, -19, -15, 1, 37, 56, 66, 85</response>


input: Arrange the numbers -17, 61, 38, 94, -40, -48 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-17, 61, 38, 94, -40, -48]

Pass 1:
  Compare -17 and 61
  No swap needed
  Compare 61 and 38
  Swap 61 and 38
  List after swap: [-17, 38, 61, 94, -40, -48]
  Compare 61 and 94
  No swap needed
  Compare 94 and -40
  Swap 94 and -40
  List after swap: [-17, 38, 61, -40, 94, -48]
  Compare 94 and -48
  Swap 94 and -48
  List after swap: [-17, 38, 61, -40, -48, 94]

Pass 2:
  Compare -17 and 38
  No swap needed
  Compare 38 and 61
  No swap needed
  Compare 61 and -40
  Swap 61 and -40
  List after swap: [-17, 38, -40, 61, -48, 94]
  Compare 61 and -48
  Swap 61 and -48
  List after swap: [-17, 38, -40, -48, 61, 94]

Pass 3:
  Compare -17 and 38
  No swap needed
  Compare 38 and -40
  Swap 38 and -40
  List after swap: [-17, -40, 38, -48, 61, 94]
  Compare 38 and -48
  Swap 38 and -48
  List after swap: [-17, -40, -48, 38, 61, 94]

Pass 4:
  Compare -17 and -40
  Swap -17 and -40
  List after swap: [-40, -17, -48, 38, 61, 94]
  Compare -17 and -48
  Swap -17 and -48
  List after swap: [-40, -48, -17, 38, 61, 94]

Pass 5:
  Compare -40 and -48
  Swap -40 and -48
  List after swap: [-48, -40, -17, 38, 61, 94]

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

Final sorted list: [-48, -40, -17, 38, 61, 94]
</think>

<response>-48, -40, -17, 38, 61, 94</response>


input: Perform a bubble sort on the integers -65, 31, -22, -34, -83, 0, -72, 70, -16, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-65, 31, -22, -34, -83, 0, -72, 70, -16]

Pass 1:
  Compare -65 and 31
  No swap needed
  Compare 31 and -22
  Swap 31 and -22
  List after swap: [-65, -22, 31, -34, -83, 0, -72, 70, -16]
  Compare 31 and -34
  Swap 31 and -34
  List after swap: [-65, -22, -34, 31, -83, 0, -72, 70, -16]
  Compare 31 and -83
  Swap 31 and -83
  List after swap: [-65, -22, -34, -83, 31, 0, -72, 70, -16]
  Compare 31 and 0
  Swap 31 and 0
  List after swap: [-65, -22, -34, -83, 0, 31, -72, 70, -16]
  Compare 31 and -72
  Swap 31 and -72
  List after swap: [-65, -22, -34, -83, 0, -72, 31, 70, -16]
  Compare 31 and 70
  No swap needed
  Compare 70 and -16
  Swap 70 and -16
  List after swap: [-65, -22, -34, -83, 0, -72, 31, -16, 70]

Pass 2:
  Compare -65 and -22
  No swap needed
  Compare -22 and -34
  Swap -22 and -34
  List after swap: [-65, -34, -22, -83, 0, -72, 31, -16, 70]
  Compare -22 and -83
  Swap -22 and -83
  List after swap: [-65, -34, -83, -22, 0, -72, 31, -16, 70]
  Compare -22 and 0
  No swap needed
  Compare 0 and -72
  Swap 0 and -72
  List after swap: [-65, -34, -83, -22, -72, 0, 31, -16, 70]
  Compare 0 and 31
  No swap needed
  Compare 31 and -16
  Swap 31 and -16
  List after swap: [-65, -34, -83, -22, -72, 0, -16, 31, 70]

Pass 3:
  Compare -65 and -34
  No swap needed
  Compare -34 and -83
  Swap -34 and -83
  List after swap: [-65, -83, -34, -22, -72, 0, -16, 31, 70]
  Compare -34 and -22
  No swap needed
  Compare -22 and -72
  Swap -22 and -72
  List after swap: [-65, -83, -34, -72, -22, 0, -16, 31, 70]
  Compare -22 and 0
  No swap needed
  Compare 0 and -16
  Swap 0 and -16
  List after swap: [-65, -83, -34, -72, -22, -16, 0, 31, 70]

Pass 4:
  Compare -65 and -83
  Swap -65 and -83
  List after swap: [-83, -65, -34, -72, -22, -16, 0, 31, 70]
  Compare -65 and -34
  No swap needed
  Compare -34 and -72
  Swap -34 and -72
  List after swap: [-83, -65, -72, -34, -22, -16, 0, 31, 70]
  Compare -34 and -22
  No swap needed
  Compare -22 and -16
  No swap needed

Pass 5:
  Compare -83 and -65
  No swap needed
  Compare -65 and -72
  Swap -65 and -72
  List after swap: [-83, -72, -65, -34, -22, -16, 0, 31, 70]
  Compare -65 and -34
  No swap needed
  Compare -34 and -22
  No swap needed

Pass 6:
  Compare -83 and -72
  No swap needed
  Compare -72 and -65
  No swap needed
  Compare -65 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -72, -65, -34, -22, -16, 0, 31, 70]
</think>

<response>-83, -72, -65, -34, -22, -16, 0, 31, 70</response>


input: Perform a bubble sort on the integers -99, -12, 25, 14, -6, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-99, -12, 25, 14, -6]

Pass 1:
  Compare -99 and -12
  No swap needed
  Compare -12 and 25
  No swap needed
  Compare 25 and 14
  Swap 25 and 14
  List after swap: [-99, -12, 14, 25, -6]
  Compare 25 and -6
  Swap 25 and -6
  List after swap: [-99, -12, 14, -6, 25]

Pass 2:
  Compare -99 and -12
  No swap needed
  Compare -12 and 14
  No swap needed
  Compare 14 and -6
  Swap 14 and -6
  List after swap: [-99, -12, -6, 14, 25]

Pass 3:
  Compare -99 and -12
  No swap needed
  Compare -12 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -12, -6, 14, 25]
</think>

<response>-99, -12, -6, 14, 25</response>


input: Arrange the numbers 91, 12, 45, 36, 30, -43, -41 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [91, 12, 45, 36, 30, -43, -41]

Pass 1:
  Compare 91 and 12
  Swap 91 and 12
  List after swap: [12, 91, 45, 36, 30, -43, -41]
  Compare 91 and 45
  Swap 91 and 45
  List after swap: [12, 45, 91, 36, 30, -43, -41]
  Compare 91 and 36
  Swap 91 and 36
  List after swap: [12, 45, 36, 91, 30, -43, -41]
  Compare 91 and 30
  Swap 91 and 30
  List after swap: [12, 45, 36, 30, 91, -43, -41]
  Compare 91 and -43
  Swap 91 and -43
  List after swap: [12, 45, 36, 30, -43, 91, -41]
  Compare 91 and -41
  Swap 91 and -41
  List after swap: [12, 45, 36, 30, -43, -41, 91]

Pass 2:
  Compare 12 and 45
  No swap needed
  Compare 45 and 36
  Swap 45 and 36
  List after swap: [12, 36, 45, 30, -43, -41, 91]
  Compare 45 and 30
  Swap 45 and 30
  List after swap: [12, 36, 30, 45, -43, -41, 91]
  Compare 45 and -43
  Swap 45 and -43
  List after swap: [12, 36, 30, -43, 45, -41, 91]
  Compare 45 and -41
  Swap 45 and -41
  List after swap: [12, 36, 30, -43, -41, 45, 91]

Pass 3:
  Compare 12 and 36
  No swap needed
  Compare 36 and 30
  Swap 36 and 30
  List after swap: [12, 30, 36, -43, -41, 45, 91]
  Compare 36 and -43
  Swap 36 and -43
  List after swap: [12, 30, -43, 36, -41, 45, 91]
  Compare 36 and -41
  Swap 36 and -41
  List after swap: [12, 30, -43, -41, 36, 45, 91]

Pass 4:
  Compare 12 and 30
  No swap needed
  Compare 30 and -43
  Swap 30 and -43
  List after swap: [12, -43, 30, -41, 36, 45, 91]
  Compare 30 and -41
  Swap 30 and -41
  List after swap: [12, -43, -41, 30, 36, 45, 91]

Pass 5:
  Compare 12 and -43
  Swap 12 and -43
  List after swap: [-43, 12, -41, 30, 36, 45, 91]
  Compare 12 and -41
  Swap 12 and -41
  List after swap: [-43, -41, 12, 30, 36, 45, 91]

Pass 6:
  Compare -43 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -41, 12, 30, 36, 45, 91]
</think>

<response>-43, -41, 12, 30, 36, 45, 91</response>


input: Demonstrate how bubble sort orders the integers 8, 79, -64, 27, -100, -86, 6, 37, 9 in ascending sequence, showing all steps.

output:
<think>
Initial list: [8, 79, -64, 27, -100, -86, 6, 37, 9]

Pass 1:
  Compare 8 and 79
  No swap needed
  Compare 79 and -64
  Swap 79 and -64
  List after swap: [8, -64, 79, 27, -100, -86, 6, 37, 9]
  Compare 79 and 27
  Swap 79 and 27
  List after swap: [8, -64, 27, 79, -100, -86, 6, 37, 9]
  Compare 79 and -100
  Swap 79 and -100
  List after swap: [8, -64, 27, -100, 79, -86, 6, 37, 9]
  Compare 79 and -86
  Swap 79 and -86
  List after swap: [8, -64, 27, -100, -86, 79, 6, 37, 9]
  Compare 79 and 6
  Swap 79 and 6
  List after swap: [8, -64, 27, -100, -86, 6, 79, 37, 9]
  Compare 79 and 37
  Swap 79 and 37
  List after swap: [8, -64, 27, -100, -86, 6, 37, 79, 9]
  Compare 79 and 9
  Swap 79 and 9
  List after swap: [8, -64, 27, -100, -86, 6, 37, 9, 79]

Pass 2:
  Compare 8 and -64
  Swap 8 and -64
  List after swap: [-64, 8, 27, -100, -86, 6, 37, 9, 79]
  Compare 8 and 27
  No swap needed
  Compare 27 and -100
  Swap 27 and -100
  List after swap: [-64, 8, -100, 27, -86, 6, 37, 9, 79]
  Compare 27 and -86
  Swap 27 and -86
  List after swap: [-64, 8, -100, -86, 27, 6, 37, 9, 79]
  Compare 27 and 6
  Swap 27 and 6
  List after swap: [-64, 8, -100, -86, 6, 27, 37, 9, 79]
  Compare 27 and 37
  No swap needed
  Compare 37 and 9
  Swap 37 and 9
  List after swap: [-64, 8, -100, -86, 6, 27, 9, 37, 79]

Pass 3:
  Compare -64 and 8
  No swap needed
  Compare 8 and -100
  Swap 8 and -100
  List after swap: [-64, -100, 8, -86, 6, 27, 9, 37, 79]
  Compare 8 and -86
  Swap 8 and -86
  List after swap: [-64, -100, -86, 8, 6, 27, 9, 37, 79]
  Compare 8 and 6
  Swap 8 and 6
  List after swap: [-64, -100, -86, 6, 8, 27, 9, 37, 79]
  Compare 8 and 27
  No swap needed
  Compare 27 and 9
  Swap 27 and 9
  List after swap: [-64, -100, -86, 6, 8, 9, 27, 37, 79]

Pass 4:
  Compare -64 and -100
  Swap -64 and -100
  List after swap: [-100, -64, -86, 6, 8, 9, 27, 37, 79]
  Compare -64 and -86
  Swap -64 and -86
  List after swap: [-100, -86, -64, 6, 8, 9, 27, 37, 79]
  Compare -64 and 6
  No swap needed
  Compare 6 and 8
  No swap needed
  Compare 8 and 9
  No swap needed

Pass 5:
  Compare -100 and -86
  No swap needed
  Compare -86 and -64
  No swap needed
  Compare -64 and 6
  No swap needed
  Compare 6 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -86, -64, 6, 8, 9, 27, 37, 79]
</think>

<response>-100, -86, -64, 6, 8, 9, 27, 37, 79</response>


input: Execute bubble sort to sort -60, 69, 70, 32, 27, 49, -42, 51, -51, -41 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-60, 69, 70, 32, 27, 49, -42, 51, -51, -41]

Pass 1:
  Compare -60 and 69
  No swap needed
  Compare 69 and 70
  No swap needed
  Compare 70 and 32
  Swap 70 and 32
  List after swap: [-60, 69, 32, 70, 27, 49, -42, 51, -51, -41]
  Compare 70 and 27
  Swap 70 and 27
  List after swap: [-60, 69, 32, 27, 70, 49, -42, 51, -51, -41]
  Compare 70 and 49
  Swap 70 and 49
  List after swap: [-60, 69, 32, 27, 49, 70, -42, 51, -51, -41]
  Compare 70 and -42
  Swap 70 and -42
  List after swap: [-60, 69, 32, 27, 49, -42, 70, 51, -51, -41]
  Compare 70 and 51
  Swap 70 and 51
  List after swap: [-60, 69, 32, 27, 49, -42, 51, 70, -51, -41]
  Compare 70 and -51
  Swap 70 and -51
  List after swap: [-60, 69, 32, 27, 49, -42, 51, -51, 70, -41]
  Compare 70 and -41
  Swap 70 and -41
  List after swap: [-60, 69, 32, 27, 49, -42, 51, -51, -41, 70]

Pass 2:
  Compare -60 and 69
  No swap needed
  Compare 69 and 32
  Swap 69 and 32
  List after swap: [-60, 32, 69, 27, 49, -42, 51, -51, -41, 70]
  Compare 69 and 27
  Swap 69 and 27
  List after swap: [-60, 32, 27, 69, 49, -42, 51, -51, -41, 70]
  Compare 69 and 49
  Swap 69 and 49
  List after swap: [-60, 32, 27, 49, 69, -42, 51, -51, -41, 70]
  Compare 69 and -42
  Swap 69 and -42
  List after swap: [-60, 32, 27, 49, -42, 69, 51, -51, -41, 70]
  Compare 69 and 51
  Swap 69 and 51
  List after swap: [-60, 32, 27, 49, -42, 51, 69, -51, -41, 70]
  Compare 69 and -51
  Swap 69 and -51
  List after swap: [-60, 32, 27, 49, -42, 51, -51, 69, -41, 70]
  Compare 69 and -41
  Swap 69 and -41
  List after swap: [-60, 32, 27, 49, -42, 51, -51, -41, 69, 70]

Pass 3:
  Compare -60 and 32
  No swap needed
  Compare 32 and 27
  Swap 32 and 27
  List after swap: [-60, 27, 32, 49, -42, 51, -51, -41, 69, 70]
  Compare 32 and 49
  No swap needed
  Compare 49 and -42
  Swap 49 and -42
  List after swap: [-60, 27, 32, -42, 49, 51, -51, -41, 69, 70]
  Compare 49 and 51
  No swap needed
  Compare 51 and -51
  Swap 51 and -51
  List after swap: [-60, 27, 32, -42, 49, -51, 51, -41, 69, 70]
  Compare 51 and -41
  Swap 51 and -41
  List after swap: [-60, 27, 32, -42, 49, -51, -41, 51, 69, 70]

Pass 4:
  Compare -60 and 27
  No swap needed
  Compare 27 and 32
  No swap needed
  Compare 32 and -42
  Swap 32 and -42
  List after swap: [-60, 27, -42, 32, 49, -51, -41, 51, 69, 70]
  Compare 32 and 49
  No swap needed
  Compare 49 and -51
  Swap 49 and -51
  List after swap: [-60, 27, -42, 32, -51, 49, -41, 51, 69, 70]
  Compare 49 and -41
  Swap 49 and -41
  List after swap: [-60, 27, -42, 32, -51, -41, 49, 51, 69, 70]

Pass 5:
  Compare -60 and 27
  No swap needed
  Compare 27 and -42
  Swap 27 and -42
  List after swap: [-60, -42, 27, 32, -51, -41, 49, 51, 69, 70]
  Compare 27 and 32
  No swap needed
  Compare 32 and -51
  Swap 32 and -51
  List after swap: [-60, -42, 27, -51, 32, -41, 49, 51, 69, 70]
  Compare 32 and -41
  Swap 32 and -41
  List after swap: [-60, -42, 27, -51, -41, 32, 49, 51, 69, 70]

Pass 6:
  Compare -60 and -42
  No swap needed
  Compare -42 and 27
  No swap needed
  Compare 27 and -51
  Swap 27 and -51
  List after swap: [-60, -42, -51, 27, -41, 32, 49, 51, 69, 70]
  Compare 27 and -41
  Swap 27 and -41
  List after swap: [-60, -42, -51, -41, 27, 32, 49, 51, 69, 70]

Pass 7:
  Compare -60 and -42
  No swap needed
  Compare -42 and -51
  Swap -42 and -51
  List after swap: [-60, -51, -42, -41, 27, 32, 49, 51, 69, 70]
  Compare -42 and -41
  No swap needed

Pass 8:
  Compare -60 and -51
  No swap needed
  Compare -51 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -51, -42, -41, 27, 32, 49, 51, 69, 70]
</think>

<response>-60, -51, -42, -41, 27, 32, 49, 51, 69, 70</response>


input: Sort these integers 48, 41, 61, -12, 30, 67, 15 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [48, 41, 61, -12, 30, 67, 15]

Pass 1:
  Compare 48 and 41
  Swap 48 and 41
  List after swap: [41, 48, 61, -12, 30, 67, 15]
  Compare 48 and 61
  No swap needed
  Compare 61 and -12
  Swap 61 and -12
  List after swap: [41, 48, -12, 61, 30, 67, 15]
  Compare 61 and 30
  Swap 61 and 30
  List after swap: [41, 48, -12, 30, 61, 67, 15]
  Compare 61 and 67
  No swap needed
  Compare 67 and 15
  Swap 67 and 15
  List after swap: [41, 48, -12, 30, 61, 15, 67]

Pass 2:
  Compare 41 and 48
  No swap needed
  Compare 48 and -12
  Swap 48 and -12
  List after swap: [41, -12, 48, 30, 61, 15, 67]
  Compare 48 and 30
  Swap 48 and 30
  List after swap: [41, -12, 30, 48, 61, 15, 67]
  Compare 48 and 61
  No swap needed
  Compare 61 and 15
  Swap 61 and 15
  List after swap: [41, -12, 30, 48, 15, 61, 67]

Pass 3:
  Compare 41 and -12
  Swap 41 and -12
  List after swap: [-12, 41, 30, 48, 15, 61, 67]
  Compare 41 and 30
  Swap 41 and 30
  List after swap: [-12, 30, 41, 48, 15, 61, 67]
  Compare 41 and 48
  No swap needed
  Compare 48 and 15
  Swap 48 and 15
  List after swap: [-12, 30, 41, 15, 48, 61, 67]

Pass 4:
  Compare -12 and 30
  No swap needed
  Compare 30 and 41
  No swap needed
  Compare 41 and 15
  Swap 41 and 15
  List after swap: [-12, 30, 15, 41, 48, 61, 67]

Pass 5:
  Compare -12 and 30
  No swap needed
  Compare 30 and 15
  Swap 30 and 15
  List after swap: [-12, 15, 30, 41, 48, 61, 67]

Pass 6:
  Compare -12 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-12, 15, 30, 41, 48, 61, 67]
</think>

<response>-12, 15, 30, 41, 48, 61, 67</response>


input: Perform a bubble sort on the integers 29, -38, -39, 54, 3, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [29, -38, -39, 54, 3]

Pass 1:
  Compare 29 and -38
  Swap 29 and -38
  List after swap: [-38, 29, -39, 54, 3]
  Compare 29 and -39
  Swap 29 and -39
  List after swap: [-38, -39, 29, 54, 3]
  Compare 29 and 54
  No swap needed
  Compare 54 and 3
  Swap 54 and 3
  List after swap: [-38, -39, 29, 3, 54]

Pass 2:
  Compare -38 and -39
  Swap -38 and -39
  List after swap: [-39, -38, 29, 3, 54]
  Compare -38 and 29
  No swap needed
  Compare 29 and 3
  Swap 29 and 3
  List after swap: [-39, -38, 3, 29, 54]

Pass 3:
  Compare -39 and -38
  No swap needed
  Compare -38 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -38, 3, 29, 54]
</think>

<response>-39, -38, 3, 29, 54</response>


input: Sort the list 94, -62, 3 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [94, -62, 3]

Pass 1:
  Compare 94 and -62
  Swap 94 and -62
  List after swap: [-62, 94, 3]
  Compare 94 and 3
  Swap 94 and 3
  List after swap: [-62, 3, 94]

Pass 2:
  Compare -62 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, 3, 94]
</think>

<response>-62, 3, 94</response>


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

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

Pass 1:
  Compare -35 and 51
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-35, 51</response>


input: Arrange the numbers 45, -81, 52, -86, -41, -20, 2 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [45, -81, 52, -86, -41, -20, 2]

Pass 1:
  Compare 45 and -81
  Swap 45 and -81
  List after swap: [-81, 45, 52, -86, -41, -20, 2]
  Compare 45 and 52
  No swap needed
  Compare 52 and -86
  Swap 52 and -86
  List after swap: [-81, 45, -86, 52, -41, -20, 2]
  Compare 52 and -41
  Swap 52 and -41
  List after swap: [-81, 45, -86, -41, 52, -20, 2]
  Compare 52 and -20
  Swap 52 and -20
  List after swap: [-81, 45, -86, -41, -20, 52, 2]
  Compare 52 and 2
  Swap 52 and 2
  List after swap: [-81, 45, -86, -41, -20, 2, 52]

Pass 2:
  Compare -81 and 45
  No swap needed
  Compare 45 and -86
  Swap 45 and -86
  List after swap: [-81, -86, 45, -41, -20, 2, 52]
  Compare 45 and -41
  Swap 45 and -41
  List after swap: [-81, -86, -41, 45, -20, 2, 52]
  Compare 45 and -20
  Swap 45 and -20
  List after swap: [-81, -86, -41, -20, 45, 2, 52]
  Compare 45 and 2
  Swap 45 and 2
  List after swap: [-81, -86, -41, -20, 2, 45, 52]

Pass 3:
  Compare -81 and -86
  Swap -81 and -86
  List after swap: [-86, -81, -41, -20, 2, 45, 52]
  Compare -81 and -41
  No swap needed
  Compare -41 and -20
  No swap needed
  Compare -20 and 2
  No swap needed

Pass 4:
  Compare -86 and -81
  No swap needed
  Compare -81 and -41
  No swap needed
  Compare -41 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -81, -41, -20, 2, 45, 52]
</think>

<response>-86, -81, -41, -20, 2, 45, 52</response>


input: Execute bubble sort to sort -11, 1 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-11, 1]

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

Final sorted list: [-11, 1]
</think>

<response>-11, 1</response>


input: Sort these integers -59, -67 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-59, -67]

Pass 1:
  Compare -59 and -67
  Swap -59 and -67
  List after swap: [-67, -59]

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

Final sorted list: [-67, -59]
</think>

<response>-67, -59</response>


input: Execute bubble sort to sort -86, 84, -92, -8, -17, 7 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-86, 84, -92, -8, -17, 7]

Pass 1:
  Compare -86 and 84
  No swap needed
  Compare 84 and -92
  Swap 84 and -92
  List after swap: [-86, -92, 84, -8, -17, 7]
  Compare 84 and -8
  Swap 84 and -8
  List after swap: [-86, -92, -8, 84, -17, 7]
  Compare 84 and -17
  Swap 84 and -17
  List after swap: [-86, -92, -8, -17, 84, 7]
  Compare 84 and 7
  Swap 84 and 7
  List after swap: [-86, -92, -8, -17, 7, 84]

Pass 2:
  Compare -86 and -92
  Swap -86 and -92
  List after swap: [-92, -86, -8, -17, 7, 84]
  Compare -86 and -8
  No swap needed
  Compare -8 and -17
  Swap -8 and -17
  List after swap: [-92, -86, -17, -8, 7, 84]
  Compare -8 and 7
  No swap needed

Pass 3:
  Compare -92 and -86
  No swap needed
  Compare -86 and -17
  No swap needed
  Compare -17 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -86, -17, -8, 7, 84]
</think>

<response>-92, -86, -17, -8, 7, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -86, -27, -67, 76, -98, 54, -97.

output:
<think>
Initial list: [-86, -27, -67, 76, -98, 54, -97]

Pass 1:
  Compare -86 and -27
  No swap needed
  Compare -27 and -67
  Swap -27 and -67
  List after swap: [-86, -67, -27, 76, -98, 54, -97]
  Compare -27 and 76
  No swap needed
  Compare 76 and -98
  Swap 76 and -98
  List after swap: [-86, -67, -27, -98, 76, 54, -97]
  Compare 76 and 54
  Swap 76 and 54
  List after swap: [-86, -67, -27, -98, 54, 76, -97]
  Compare 76 and -97
  Swap 76 and -97
  List after swap: [-86, -67, -27, -98, 54, -97, 76]

Pass 2:
  Compare -86 and -67
  No swap needed
  Compare -67 and -27
  No swap needed
  Compare -27 and -98
  Swap -27 and -98
  List after swap: [-86, -67, -98, -27, 54, -97, 76]
  Compare -27 and 54
  No swap needed
  Compare 54 and -97
  Swap 54 and -97
  List after swap: [-86, -67, -98, -27, -97, 54, 76]

Pass 3:
  Compare -86 and -67
  No swap needed
  Compare -67 and -98
  Swap -67 and -98
  List after swap: [-86, -98, -67, -27, -97, 54, 76]
  Compare -67 and -27
  No swap needed
  Compare -27 and -97
  Swap -27 and -97
  List after swap: [-86, -98, -67, -97, -27, 54, 76]

Pass 4:
  Compare -86 and -98
  Swap -86 and -98
  List after swap: [-98, -86, -67, -97, -27, 54, 76]
  Compare -86 and -67
  No swap needed
  Compare -67 and -97
  Swap -67 and -97
  List after swap: [-98, -86, -97, -67, -27, 54, 76]

Pass 5:
  Compare -98 and -86
  No swap needed
  Compare -86 and -97
  Swap -86 and -97
  List after swap: [-98, -97, -86, -67, -27, 54, 76]

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

Final sorted list: [-98, -97, -86, -67, -27, 54, 76]
</think>

<response>-98, -97, -86, -67, -27, 54, 76</response>


input: Execute bubble sort to sort -67, 83, -1, 94, 22, 6, 89, 81, -57, 19 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-67, 83, -1, 94, 22, 6, 89, 81, -57, 19]

Pass 1:
  Compare -67 and 83
  No swap needed
  Compare 83 and -1
  Swap 83 and -1
  List after swap: [-67, -1, 83, 94, 22, 6, 89, 81, -57, 19]
  Compare 83 and 94
  No swap needed
  Compare 94 and 22
  Swap 94 and 22
  List after swap: [-67, -1, 83, 22, 94, 6, 89, 81, -57, 19]
  Compare 94 and 6
  Swap 94 and 6
  List after swap: [-67, -1, 83, 22, 6, 94, 89, 81, -57, 19]
  Compare 94 and 89
  Swap 94 and 89
  List after swap: [-67, -1, 83, 22, 6, 89, 94, 81, -57, 19]
  Compare 94 and 81
  Swap 94 and 81
  List after swap: [-67, -1, 83, 22, 6, 89, 81, 94, -57, 19]
  Compare 94 and -57
  Swap 94 and -57
  List after swap: [-67, -1, 83, 22, 6, 89, 81, -57, 94, 19]
  Compare 94 and 19
  Swap 94 and 19
  List after swap: [-67, -1, 83, 22, 6, 89, 81, -57, 19, 94]

Pass 2:
  Compare -67 and -1
  No swap needed
  Compare -1 and 83
  No swap needed
  Compare 83 and 22
  Swap 83 and 22
  List after swap: [-67, -1, 22, 83, 6, 89, 81, -57, 19, 94]
  Compare 83 and 6
  Swap 83 and 6
  List after swap: [-67, -1, 22, 6, 83, 89, 81, -57, 19, 94]
  Compare 83 and 89
  No swap needed
  Compare 89 and 81
  Swap 89 and 81
  List after swap: [-67, -1, 22, 6, 83, 81, 89, -57, 19, 94]
  Compare 89 and -57
  Swap 89 and -57
  List after swap: [-67, -1, 22, 6, 83, 81, -57, 89, 19, 94]
  Compare 89 and 19
  Swap 89 and 19
  List after swap: [-67, -1, 22, 6, 83, 81, -57, 19, 89, 94]

Pass 3:
  Compare -67 and -1
  No swap needed
  Compare -1 and 22
  No swap needed
  Compare 22 and 6
  Swap 22 and 6
  List after swap: [-67, -1, 6, 22, 83, 81, -57, 19, 89, 94]
  Compare 22 and 83
  No swap needed
  Compare 83 and 81
  Swap 83 and 81
  List after swap: [-67, -1, 6, 22, 81, 83, -57, 19, 89, 94]
  Compare 83 and -57
  Swap 83 and -57
  List after swap: [-67, -1, 6, 22, 81, -57, 83, 19, 89, 94]
  Compare 83 and 19
  Swap 83 and 19
  List after swap: [-67, -1, 6, 22, 81, -57, 19, 83, 89, 94]

Pass 4:
  Compare -67 and -1
  No swap needed
  Compare -1 and 6
  No swap needed
  Compare 6 and 22
  No swap needed
  Compare 22 and 81
  No swap needed
  Compare 81 and -57
  Swap 81 and -57
  List after swap: [-67, -1, 6, 22, -57, 81, 19, 83, 89, 94]
  Compare 81 and 19
  Swap 81 and 19
  List after swap: [-67, -1, 6, 22, -57, 19, 81, 83, 89, 94]

Pass 5:
  Compare -67 and -1
  No swap needed
  Compare -1 and 6
  No swap needed
  Compare 6 and 22
  No swap needed
  Compare 22 and -57
  Swap 22 and -57
  List after swap: [-67, -1, 6, -57, 22, 19, 81, 83, 89, 94]
  Compare 22 and 19
  Swap 22 and 19
  List after swap: [-67, -1, 6, -57, 19, 22, 81, 83, 89, 94]

Pass 6:
  Compare -67 and -1
  No swap needed
  Compare -1 and 6
  No swap needed
  Compare 6 and -57
  Swap 6 and -57
  List after swap: [-67, -1, -57, 6, 19, 22, 81, 83, 89, 94]
  Compare 6 and 19
  No swap needed

Pass 7:
  Compare -67 and -1
  No swap needed
  Compare -1 and -57
  Swap -1 and -57
  List after swap: [-67, -57, -1, 6, 19, 22, 81, 83, 89, 94]
  Compare -1 and 6
  No swap needed

Pass 8:
  Compare -67 and -57
  No swap needed
  Compare -57 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -57, -1, 6, 19, 22, 81, 83, 89, 94]
</think>

<response>-67, -57, -1, 6, 19, 22, 81, 83, 89, 94</response>


input: Demonstrate how bubble sort orders the integers 83, -41, 40, 58, -58, 50 in ascending sequence, showing all steps.

output:
<think>
Initial list: [83, -41, 40, 58, -58, 50]

Pass 1:
  Compare 83 and -41
  Swap 83 and -41
  List after swap: [-41, 83, 40, 58, -58, 50]
  Compare 83 and 40
  Swap 83 and 40
  List after swap: [-41, 40, 83, 58, -58, 50]
  Compare 83 and 58
  Swap 83 and 58
  List after swap: [-41, 40, 58, 83, -58, 50]
  Compare 83 and -58
  Swap 83 and -58
  List after swap: [-41, 40, 58, -58, 83, 50]
  Compare 83 and 50
  Swap 83 and 50
  List after swap: [-41, 40, 58, -58, 50, 83]

Pass 2:
  Compare -41 and 40
  No swap needed
  Compare 40 and 58
  No swap needed
  Compare 58 and -58
  Swap 58 and -58
  List after swap: [-41, 40, -58, 58, 50, 83]
  Compare 58 and 50
  Swap 58 and 50
  List after swap: [-41, 40, -58, 50, 58, 83]

Pass 3:
  Compare -41 and 40
  No swap needed
  Compare 40 and -58
  Swap 40 and -58
  List after swap: [-41, -58, 40, 50, 58, 83]
  Compare 40 and 50
  No swap needed

Pass 4:
  Compare -41 and -58
  Swap -41 and -58
  List after swap: [-58, -41, 40, 50, 58, 83]
  Compare -41 and 40
  No swap needed

Pass 5:
  Compare -58 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -41, 40, 50, 58, 83]
</think>

<response>-58, -41, 40, 50, 58, 83</response>


input: Execute bubble sort to sort 1, 14, -29, -44, 52 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [1, 14, -29, -44, 52]

Pass 1:
  Compare 1 and 14
  No swap needed
  Compare 14 and -29
  Swap 14 and -29
  List after swap: [1, -29, 14, -44, 52]
  Compare 14 and -44
  Swap 14 and -44
  List after swap: [1, -29, -44, 14, 52]
  Compare 14 and 52
  No swap needed

Pass 2:
  Compare 1 and -29
  Swap 1 and -29
  List after swap: [-29, 1, -44, 14, 52]
  Compare 1 and -44
  Swap 1 and -44
  List after swap: [-29, -44, 1, 14, 52]
  Compare 1 and 14
  No swap needed

Pass 3:
  Compare -29 and -44
  Swap -29 and -44
  List after swap: [-44, -29, 1, 14, 52]
  Compare -29 and 1
  No swap needed

Pass 4:
  Compare -44 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, -29, 1, 14, 52]
</think>

<response>-44, -29, 1, 14, 52</response>


input: Implement bubble sort on 74, -39, 70, 77, 56, -9, 84, -60 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [74, -39, 70, 77, 56, -9, 84, -60]

Pass 1:
  Compare 74 and -39
  Swap 74 and -39
  List after swap: [-39, 74, 70, 77, 56, -9, 84, -60]
  Compare 74 and 70
  Swap 74 and 70
  List after swap: [-39, 70, 74, 77, 56, -9, 84, -60]
  Compare 74 and 77
  No swap needed
  Compare 77 and 56
  Swap 77 and 56
  List after swap: [-39, 70, 74, 56, 77, -9, 84, -60]
  Compare 77 and -9
  Swap 77 and -9
  List after swap: [-39, 70, 74, 56, -9, 77, 84, -60]
  Compare 77 and 84
  No swap needed
  Compare 84 and -60
  Swap 84 and -60
  List after swap: [-39, 70, 74, 56, -9, 77, -60, 84]

Pass 2:
  Compare -39 and 70
  No swap needed
  Compare 70 and 74
  No swap needed
  Compare 74 and 56
  Swap 74 and 56
  List after swap: [-39, 70, 56, 74, -9, 77, -60, 84]
  Compare 74 and -9
  Swap 74 and -9
  List after swap: [-39, 70, 56, -9, 74, 77, -60, 84]
  Compare 74 and 77
  No swap needed
  Compare 77 and -60
  Swap 77 and -60
  List after swap: [-39, 70, 56, -9, 74, -60, 77, 84]

Pass 3:
  Compare -39 and 70
  No swap needed
  Compare 70 and 56
  Swap 70 and 56
  List after swap: [-39, 56, 70, -9, 74, -60, 77, 84]
  Compare 70 and -9
  Swap 70 and -9
  List after swap: [-39, 56, -9, 70, 74, -60, 77, 84]
  Compare 70 and 74
  No swap needed
  Compare 74 and -60
  Swap 74 and -60
  List after swap: [-39, 56, -9, 70, -60, 74, 77, 84]

Pass 4:
  Compare -39 and 56
  No swap needed
  Compare 56 and -9
  Swap 56 and -9
  List after swap: [-39, -9, 56, 70, -60, 74, 77, 84]
  Compare 56 and 70
  No swap needed
  Compare 70 and -60
  Swap 70 and -60
  List after swap: [-39, -9, 56, -60, 70, 74, 77, 84]

Pass 5:
  Compare -39 and -9
  No swap needed
  Compare -9 and 56
  No swap needed
  Compare 56 and -60
  Swap 56 and -60
  List after swap: [-39, -9, -60, 56, 70, 74, 77, 84]

Pass 6:
  Compare -39 and -9
  No swap needed
  Compare -9 and -60
  Swap -9 and -60
  List after swap: [-39, -60, -9, 56, 70, 74, 77, 84]

Pass 7:
  Compare -39 and -60
  Swap -39 and -60
  List after swap: [-60, -39, -9, 56, 70, 74, 77, 84]

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

Final sorted list: [-60, -39, -9, 56, 70, 74, 77, 84]
</think>

<response>-60, -39, -9, 56, 70, 74, 77, 84</response>


input: Sort the list -85, -82, -81, -34, 30, 48, -20, 0 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-85, -82, -81, -34, 30, 48, -20, 0]

Pass 1:
  Compare -85 and -82
  No swap needed
  Compare -82 and -81
  No swap needed
  Compare -81 and -34
  No swap needed
  Compare -34 and 30
  No swap needed
  Compare 30 and 48
  No swap needed
  Compare 48 and -20
  Swap 48 and -20
  List after swap: [-85, -82, -81, -34, 30, -20, 48, 0]
  Compare 48 and 0
  Swap 48 and 0
  List after swap: [-85, -82, -81, -34, 30, -20, 0, 48]

Pass 2:
  Compare -85 and -82
  No swap needed
  Compare -82 and -81
  No swap needed
  Compare -81 and -34
  No swap needed
  Compare -34 and 30
  No swap needed
  Compare 30 and -20
  Swap 30 and -20
  List after swap: [-85, -82, -81, -34, -20, 30, 0, 48]
  Compare 30 and 0
  Swap 30 and 0
  List after swap: [-85, -82, -81, -34, -20, 0, 30, 48]

Pass 3:
  Compare -85 and -82
  No swap needed
  Compare -82 and -81
  No swap needed
  Compare -81 and -34
  No swap needed
  Compare -34 and -20
  No swap needed
  Compare -20 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -82, -81, -34, -20, 0, 30, 48]
</think>

<response>-85, -82, -81, -34, -20, 0, 30, 48</response>


input: Carry out the bubble sort algorithm on -94, 3, 84, -17, -66, -16, 82, -27, -29, -41 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-94, 3, 84, -17, -66, -16, 82, -27, -29, -41]

Pass 1:
  Compare -94 and 3
  No swap needed
  Compare 3 and 84
  No swap needed
  Compare 84 and -17
  Swap 84 and -17
  List after swap: [-94, 3, -17, 84, -66, -16, 82, -27, -29, -41]
  Compare 84 and -66
  Swap 84 and -66
  List after swap: [-94, 3, -17, -66, 84, -16, 82, -27, -29, -41]
  Compare 84 and -16
  Swap 84 and -16
  List after swap: [-94, 3, -17, -66, -16, 84, 82, -27, -29, -41]
  Compare 84 and 82
  Swap 84 and 82
  List after swap: [-94, 3, -17, -66, -16, 82, 84, -27, -29, -41]
  Compare 84 and -27
  Swap 84 and -27
  List after swap: [-94, 3, -17, -66, -16, 82, -27, 84, -29, -41]
  Compare 84 and -29
  Swap 84 and -29
  List after swap: [-94, 3, -17, -66, -16, 82, -27, -29, 84, -41]
  Compare 84 and -41
  Swap 84 and -41
  List after swap: [-94, 3, -17, -66, -16, 82, -27, -29, -41, 84]

Pass 2:
  Compare -94 and 3
  No swap needed
  Compare 3 and -17
  Swap 3 and -17
  List after swap: [-94, -17, 3, -66, -16, 82, -27, -29, -41, 84]
  Compare 3 and -66
  Swap 3 and -66
  List after swap: [-94, -17, -66, 3, -16, 82, -27, -29, -41, 84]
  Compare 3 and -16
  Swap 3 and -16
  List after swap: [-94, -17, -66, -16, 3, 82, -27, -29, -41, 84]
  Compare 3 and 82
  No swap needed
  Compare 82 and -27
  Swap 82 and -27
  List after swap: [-94, -17, -66, -16, 3, -27, 82, -29, -41, 84]
  Compare 82 and -29
  Swap 82 and -29
  List after swap: [-94, -17, -66, -16, 3, -27, -29, 82, -41, 84]
  Compare 82 and -41
  Swap 82 and -41
  List after swap: [-94, -17, -66, -16, 3, -27, -29, -41, 82, 84]

Pass 3:
  Compare -94 and -17
  No swap needed
  Compare -17 and -66
  Swap -17 and -66
  List after swap: [-94, -66, -17, -16, 3, -27, -29, -41, 82, 84]
  Compare -17 and -16
  No swap needed
  Compare -16 and 3
  No swap needed
  Compare 3 and -27
  Swap 3 and -27
  List after swap: [-94, -66, -17, -16, -27, 3, -29, -41, 82, 84]
  Compare 3 and -29
  Swap 3 and -29
  List after swap: [-94, -66, -17, -16, -27, -29, 3, -41, 82, 84]
  Compare 3 and -41
  Swap 3 and -41
  List after swap: [-94, -66, -17, -16, -27, -29, -41, 3, 82, 84]

Pass 4:
  Compare -94 and -66
  No swap needed
  Compare -66 and -17
  No swap needed
  Compare -17 and -16
  No swap needed
  Compare -16 and -27
  Swap -16 and -27
  List after swap: [-94, -66, -17, -27, -16, -29, -41, 3, 82, 84]
  Compare -16 and -29
  Swap -16 and -29
  List after swap: [-94, -66, -17, -27, -29, -16, -41, 3, 82, 84]
  Compare -16 and -41
  Swap -16 and -41
  List after swap: [-94, -66, -17, -27, -29, -41, -16, 3, 82, 84]

Pass 5:
  Compare -94 and -66
  No swap needed
  Compare -66 and -17
  No swap needed
  Compare -17 and -27
  Swap -17 and -27
  List after swap: [-94, -66, -27, -17, -29, -41, -16, 3, 82, 84]
  Compare -17 and -29
  Swap -17 and -29
  List after swap: [-94, -66, -27, -29, -17, -41, -16, 3, 82, 84]
  Compare -17 and -41
  Swap -17 and -41
  List after swap: [-94, -66, -27, -29, -41, -17, -16, 3, 82, 84]

Pass 6:
  Compare -94 and -66
  No swap needed
  Compare -66 and -27
  No swap needed
  Compare -27 and -29
  Swap -27 and -29
  List after swap: [-94, -66, -29, -27, -41, -17, -16, 3, 82, 84]
  Compare -27 and -41
  Swap -27 and -41
  List after swap: [-94, -66, -29, -41, -27, -17, -16, 3, 82, 84]

Pass 7:
  Compare -94 and -66
  No swap needed
  Compare -66 and -29
  No swap needed
  Compare -29 and -41
  Swap -29 and -41
  List after swap: [-94, -66, -41, -29, -27, -17, -16, 3, 82, 84]

Pass 8:
  Compare -94 and -66
  No swap needed
  Compare -66 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -66, -41, -29, -27, -17, -16, 3, 82, 84]
</think>

<response>-94, -66, -41, -29, -27, -17, -16, 3, 82, 84</response>


input: Carry out the bubble sort algorithm on 47, -39 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [47, -39]

Pass 1:
  Compare 47 and -39
  Swap 47 and -39
  List after swap: [-39, 47]

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

Final sorted list: [-39, 47]
</think>

<response>-39, 47</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 29, -93, -88, 4.

output:
<think>
Initial list: [29, -93, -88, 4]

Pass 1:
  Compare 29 and -93
  Swap 29 and -93
  List after swap: [-93, 29, -88, 4]
  Compare 29 and -88
  Swap 29 and -88
  List after swap: [-93, -88, 29, 4]
  Compare 29 and 4
  Swap 29 and 4
  List after swap: [-93, -88, 4, 29]

Pass 2:
  Compare -93 and -88
  No swap needed
  Compare -88 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -88, 4, 29]
</think>

<response>-93, -88, 4, 29</response>


input: Using the bubble sort method, sort -70, 64, 16, -31, 21 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-70, 64, 16, -31, 21]

Pass 1:
  Compare -70 and 64
  No swap needed
  Compare 64 and 16
  Swap 64 and 16
  List after swap: [-70, 16, 64, -31, 21]
  Compare 64 and -31
  Swap 64 and -31
  List after swap: [-70, 16, -31, 64, 21]
  Compare 64 and 21
  Swap 64 and 21
  List after swap: [-70, 16, -31, 21, 64]

Pass 2:
  Compare -70 and 16
  No swap needed
  Compare 16 and -31
  Swap 16 and -31
  List after swap: [-70, -31, 16, 21, 64]
  Compare 16 and 21
  No swap needed

Pass 3:
  Compare -70 and -31
  No swap needed
  Compare -31 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -31, 16, 21, 64]
</think>

<response>-70, -31, 16, 21, 64</response>


input: Execute bubble sort to sort -62, -75, 83, -94, 22, 2, -18, -98, -86, -56 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-62, -75, 83, -94, 22, 2, -18, -98, -86, -56]

Pass 1:
  Compare -62 and -75
  Swap -62 and -75
  List after swap: [-75, -62, 83, -94, 22, 2, -18, -98, -86, -56]
  Compare -62 and 83
  No swap needed
  Compare 83 and -94
  Swap 83 and -94
  List after swap: [-75, -62, -94, 83, 22, 2, -18, -98, -86, -56]
  Compare 83 and 22
  Swap 83 and 22
  List after swap: [-75, -62, -94, 22, 83, 2, -18, -98, -86, -56]
  Compare 83 and 2
  Swap 83 and 2
  List after swap: [-75, -62, -94, 22, 2, 83, -18, -98, -86, -56]
  Compare 83 and -18
  Swap 83 and -18
  List after swap: [-75, -62, -94, 22, 2, -18, 83, -98, -86, -56]
  Compare 83 and -98
  Swap 83 and -98
  List after swap: [-75, -62, -94, 22, 2, -18, -98, 83, -86, -56]
  Compare 83 and -86
  Swap 83 and -86
  List after swap: [-75, -62, -94, 22, 2, -18, -98, -86, 83, -56]
  Compare 83 and -56
  Swap 83 and -56
  List after swap: [-75, -62, -94, 22, 2, -18, -98, -86, -56, 83]

Pass 2:
  Compare -75 and -62
  No swap needed
  Compare -62 and -94
  Swap -62 and -94
  List after swap: [-75, -94, -62, 22, 2, -18, -98, -86, -56, 83]
  Compare -62 and 22
  No swap needed
  Compare 22 and 2
  Swap 22 and 2
  List after swap: [-75, -94, -62, 2, 22, -18, -98, -86, -56, 83]
  Compare 22 and -18
  Swap 22 and -18
  List after swap: [-75, -94, -62, 2, -18, 22, -98, -86, -56, 83]
  Compare 22 and -98
  Swap 22 and -98
  List after swap: [-75, -94, -62, 2, -18, -98, 22, -86, -56, 83]
  Compare 22 and -86
  Swap 22 and -86
  List after swap: [-75, -94, -62, 2, -18, -98, -86, 22, -56, 83]
  Compare 22 and -56
  Swap 22 and -56
  List after swap: [-75, -94, -62, 2, -18, -98, -86, -56, 22, 83]

Pass 3:
  Compare -75 and -94
  Swap -75 and -94
  List after swap: [-94, -75, -62, 2, -18, -98, -86, -56, 22, 83]
  Compare -75 and -62
  No swap needed
  Compare -62 and 2
  No swap needed
  Compare 2 and -18
  Swap 2 and -18
  List after swap: [-94, -75, -62, -18, 2, -98, -86, -56, 22, 83]
  Compare 2 and -98
  Swap 2 and -98
  List after swap: [-94, -75, -62, -18, -98, 2, -86, -56, 22, 83]
  Compare 2 and -86
  Swap 2 and -86
  List after swap: [-94, -75, -62, -18, -98, -86, 2, -56, 22, 83]
  Compare 2 and -56
  Swap 2 and -56
  List after swap: [-94, -75, -62, -18, -98, -86, -56, 2, 22, 83]

Pass 4:
  Compare -94 and -75
  No swap needed
  Compare -75 and -62
  No swap needed
  Compare -62 and -18
  No swap needed
  Compare -18 and -98
  Swap -18 and -98
  List after swap: [-94, -75, -62, -98, -18, -86, -56, 2, 22, 83]
  Compare -18 and -86
  Swap -18 and -86
  List after swap: [-94, -75, -62, -98, -86, -18, -56, 2, 22, 83]
  Compare -18 and -56
  Swap -18 and -56
  List after swap: [-94, -75, -62, -98, -86, -56, -18, 2, 22, 83]

Pass 5:
  Compare -94 and -75
  No swap needed
  Compare -75 and -62
  No swap needed
  Compare -62 and -98
  Swap -62 and -98
  List after swap: [-94, -75, -98, -62, -86, -56, -18, 2, 22, 83]
  Compare -62 and -86
  Swap -62 and -86
  List after swap: [-94, -75, -98, -86, -62, -56, -18, 2, 22, 83]
  Compare -62 and -56
  No swap needed

Pass 6:
  Compare -94 and -75
  No swap needed
  Compare -75 and -98
  Swap -75 and -98
  List after swap: [-94, -98, -75, -86, -62, -56, -18, 2, 22, 83]
  Compare -75 and -86
  Swap -75 and -86
  List after swap: [-94, -98, -86, -75, -62, -56, -18, 2, 22, 83]
  Compare -75 and -62
  No swap needed

Pass 7:
  Compare -94 and -98
  Swap -94 and -98
  List after swap: [-98, -94, -86, -75, -62, -56, -18, 2, 22, 83]
  Compare -94 and -86
  No swap needed
  Compare -86 and -75
  No swap needed

Pass 8:
  Compare -98 and -94
  No swap needed
  Compare -94 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -94, -86, -75, -62, -56, -18, 2, 22, 83]
</think>

<response>-98, -94, -86, -75, -62, -56, -18, 2, 22, 83</response>


input: Carry out the bubble sort algorithm on -73, 69, -45, -81, 89, -4 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-73, 69, -45, -81, 89, -4]

Pass 1:
  Compare -73 and 69
  No swap needed
  Compare 69 and -45
  Swap 69 and -45
  List after swap: [-73, -45, 69, -81, 89, -4]
  Compare 69 and -81
  Swap 69 and -81
  List after swap: [-73, -45, -81, 69, 89, -4]
  Compare 69 and 89
  No swap needed
  Compare 89 and -4
  Swap 89 and -4
  List after swap: [-73, -45, -81, 69, -4, 89]

Pass 2:
  Compare -73 and -45
  No swap needed
  Compare -45 and -81
  Swap -45 and -81
  List after swap: [-73, -81, -45, 69, -4, 89]
  Compare -45 and 69
  No swap needed
  Compare 69 and -4
  Swap 69 and -4
  List after swap: [-73, -81, -45, -4, 69, 89]

Pass 3:
  Compare -73 and -81
  Swap -73 and -81
  List after swap: [-81, -73, -45, -4, 69, 89]
  Compare -73 and -45
  No swap needed
  Compare -45 and -4
  No swap needed

Pass 4:
  Compare -81 and -73
  No swap needed
  Compare -73 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -73, -45, -4, 69, 89]
</think>

<response>-81, -73, -45, -4, 69, 89</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 88, -89, 50, 28, -4, 26, -39, -78, 82, 46.

output:
<think>
Initial list: [88, -89, 50, 28, -4, 26, -39, -78, 82, 46]

Pass 1:
  Compare 88 and -89
  Swap 88 and -89
  List after swap: [-89, 88, 50, 28, -4, 26, -39, -78, 82, 46]
  Compare 88 and 50
  Swap 88 and 50
  List after swap: [-89, 50, 88, 28, -4, 26, -39, -78, 82, 46]
  Compare 88 and 28
  Swap 88 and 28
  List after swap: [-89, 50, 28, 88, -4, 26, -39, -78, 82, 46]
  Compare 88 and -4
  Swap 88 and -4
  List after swap: [-89, 50, 28, -4, 88, 26, -39, -78, 82, 46]
  Compare 88 and 26
  Swap 88 and 26
  List after swap: [-89, 50, 28, -4, 26, 88, -39, -78, 82, 46]
  Compare 88 and -39
  Swap 88 and -39
  List after swap: [-89, 50, 28, -4, 26, -39, 88, -78, 82, 46]
  Compare 88 and -78
  Swap 88 and -78
  List after swap: [-89, 50, 28, -4, 26, -39, -78, 88, 82, 46]
  Compare 88 and 82
  Swap 88 and 82
  List after swap: [-89, 50, 28, -4, 26, -39, -78, 82, 88, 46]
  Compare 88 and 46
  Swap 88 and 46
  List after swap: [-89, 50, 28, -4, 26, -39, -78, 82, 46, 88]

Pass 2:
  Compare -89 and 50
  No swap needed
  Compare 50 and 28
  Swap 50 and 28
  List after swap: [-89, 28, 50, -4, 26, -39, -78, 82, 46, 88]
  Compare 50 and -4
  Swap 50 and -4
  List after swap: [-89, 28, -4, 50, 26, -39, -78, 82, 46, 88]
  Compare 50 and 26
  Swap 50 and 26
  List after swap: [-89, 28, -4, 26, 50, -39, -78, 82, 46, 88]
  Compare 50 and -39
  Swap 50 and -39
  List after swap: [-89, 28, -4, 26, -39, 50, -78, 82, 46, 88]
  Compare 50 and -78
  Swap 50 and -78
  List after swap: [-89, 28, -4, 26, -39, -78, 50, 82, 46, 88]
  Compare 50 and 82
  No swap needed
  Compare 82 and 46
  Swap 82 and 46
  List after swap: [-89, 28, -4, 26, -39, -78, 50, 46, 82, 88]

Pass 3:
  Compare -89 and 28
  No swap needed
  Compare 28 and -4
  Swap 28 and -4
  List after swap: [-89, -4, 28, 26, -39, -78, 50, 46, 82, 88]
  Compare 28 and 26
  Swap 28 and 26
  List after swap: [-89, -4, 26, 28, -39, -78, 50, 46, 82, 88]
  Compare 28 and -39
  Swap 28 and -39
  List after swap: [-89, -4, 26, -39, 28, -78, 50, 46, 82, 88]
  Compare 28 and -78
  Swap 28 and -78
  List after swap: [-89, -4, 26, -39, -78, 28, 50, 46, 82, 88]
  Compare 28 and 50
  No swap needed
  Compare 50 and 46
  Swap 50 and 46
  List after swap: [-89, -4, 26, -39, -78, 28, 46, 50, 82, 88]

Pass 4:
  Compare -89 and -4
  No swap needed
  Compare -4 and 26
  No swap needed
  Compare 26 and -39
  Swap 26 and -39
  List after swap: [-89, -4, -39, 26, -78, 28, 46, 50, 82, 88]
  Compare 26 and -78
  Swap 26 and -78
  List after swap: [-89, -4, -39, -78, 26, 28, 46, 50, 82, 88]
  Compare 26 and 28
  No swap needed
  Compare 28 and 46
  No swap needed

Pass 5:
  Compare -89 and -4
  No swap needed
  Compare -4 and -39
  Swap -4 and -39
  List after swap: [-89, -39, -4, -78, 26, 28, 46, 50, 82, 88]
  Compare -4 and -78
  Swap -4 and -78
  List after swap: [-89, -39, -78, -4, 26, 28, 46, 50, 82, 88]
  Compare -4 and 26
  No swap needed
  Compare 26 and 28
  No swap needed

Pass 6:
  Compare -89 and -39
  No swap needed
  Compare -39 and -78
  Swap -39 and -78
  List after swap: [-89, -78, -39, -4, 26, 28, 46, 50, 82, 88]
  Compare -39 and -4
  No swap needed
  Compare -4 and 26
  No swap needed

Pass 7:
  Compare -89 and -78
  No swap needed
  Compare -78 and -39
  No swap needed
  Compare -39 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -78, -39, -4, 26, 28, 46, 50, 82, 88]
</think>

<response>-89, -78, -39, -4, 26, 28, 46, 50, 82, 88</response>


input: Use the bubble sort technique to reorder 24, -50, 13, 76 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [24, -50, 13, 76]

Pass 1:
  Compare 24 and -50
  Swap 24 and -50
  List after swap: [-50, 24, 13, 76]
  Compare 24 and 13
  Swap 24 and 13
  List after swap: [-50, 13, 24, 76]
  Compare 24 and 76
  No swap needed

Pass 2:
  Compare -50 and 13
  No swap needed
  Compare 13 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 13, 24, 76]
</think>

<response>-50, 13, 24, 76</response>


input: Using the bubble sort method, sort 16, -72, 11, -3, 7, -14, 21, -32, -92, -25 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [16, -72, 11, -3, 7, -14, 21, -32, -92, -25]

Pass 1:
  Compare 16 and -72
  Swap 16 and -72
  List after swap: [-72, 16, 11, -3, 7, -14, 21, -32, -92, -25]
  Compare 16 and 11
  Swap 16 and 11
  List after swap: [-72, 11, 16, -3, 7, -14, 21, -32, -92, -25]
  Compare 16 and -3
  Swap 16 and -3
  List after swap: [-72, 11, -3, 16, 7, -14, 21, -32, -92, -25]
  Compare 16 and 7
  Swap 16 and 7
  List after swap: [-72, 11, -3, 7, 16, -14, 21, -32, -92, -25]
  Compare 16 and -14
  Swap 16 and -14
  List after swap: [-72, 11, -3, 7, -14, 16, 21, -32, -92, -25]
  Compare 16 and 21
  No swap needed
  Compare 21 and -32
  Swap 21 and -32
  List after swap: [-72, 11, -3, 7, -14, 16, -32, 21, -92, -25]
  Compare 21 and -92
  Swap 21 and -92
  List after swap: [-72, 11, -3, 7, -14, 16, -32, -92, 21, -25]
  Compare 21 and -25
  Swap 21 and -25
  List after swap: [-72, 11, -3, 7, -14, 16, -32, -92, -25, 21]

Pass 2:
  Compare -72 and 11
  No swap needed
  Compare 11 and -3
  Swap 11 and -3
  List after swap: [-72, -3, 11, 7, -14, 16, -32, -92, -25, 21]
  Compare 11 and 7
  Swap 11 and 7
  List after swap: [-72, -3, 7, 11, -14, 16, -32, -92, -25, 21]
  Compare 11 and -14
  Swap 11 and -14
  List after swap: [-72, -3, 7, -14, 11, 16, -32, -92, -25, 21]
  Compare 11 and 16
  No swap needed
  Compare 16 and -32
  Swap 16 and -32
  List after swap: [-72, -3, 7, -14, 11, -32, 16, -92, -25, 21]
  Compare 16 and -92
  Swap 16 and -92
  List after swap: [-72, -3, 7, -14, 11, -32, -92, 16, -25, 21]
  Compare 16 and -25
  Swap 16 and -25
  List after swap: [-72, -3, 7, -14, 11, -32, -92, -25, 16, 21]

Pass 3:
  Compare -72 and -3
  No swap needed
  Compare -3 and 7
  No swap needed
  Compare 7 and -14
  Swap 7 and -14
  List after swap: [-72, -3, -14, 7, 11, -32, -92, -25, 16, 21]
  Compare 7 and 11
  No swap needed
  Compare 11 and -32
  Swap 11 and -32
  List after swap: [-72, -3, -14, 7, -32, 11, -92, -25, 16, 21]
  Compare 11 and -92
  Swap 11 and -92
  List after swap: [-72, -3, -14, 7, -32, -92, 11, -25, 16, 21]
  Compare 11 and -25
  Swap 11 and -25
  List after swap: [-72, -3, -14, 7, -32, -92, -25, 11, 16, 21]

Pass 4:
  Compare -72 and -3
  No swap needed
  Compare -3 and -14
  Swap -3 and -14
  List after swap: [-72, -14, -3, 7, -32, -92, -25, 11, 16, 21]
  Compare -3 and 7
  No swap needed
  Compare 7 and -32
  Swap 7 and -32
  List after swap: [-72, -14, -3, -32, 7, -92, -25, 11, 16, 21]
  Compare 7 and -92
  Swap 7 and -92
  List after swap: [-72, -14, -3, -32, -92, 7, -25, 11, 16, 21]
  Compare 7 and -25
  Swap 7 and -25
  List after swap: [-72, -14, -3, -32, -92, -25, 7, 11, 16, 21]

Pass 5:
  Compare -72 and -14
  No swap needed
  Compare -14 and -3
  No swap needed
  Compare -3 and -32
  Swap -3 and -32
  List after swap: [-72, -14, -32, -3, -92, -25, 7, 11, 16, 21]
  Compare -3 and -92
  Swap -3 and -92
  List after swap: [-72, -14, -32, -92, -3, -25, 7, 11, 16, 21]
  Compare -3 and -25
  Swap -3 and -25
  List after swap: [-72, -14, -32, -92, -25, -3, 7, 11, 16, 21]

Pass 6:
  Compare -72 and -14
  No swap needed
  Compare -14 and -32
  Swap -14 and -32
  List after swap: [-72, -32, -14, -92, -25, -3, 7, 11, 16, 21]
  Compare -14 and -92
  Swap -14 and -92
  List after swap: [-72, -32, -92, -14, -25, -3, 7, 11, 16, 21]
  Compare -14 and -25
  Swap -14 and -25
  List after swap: [-72, -32, -92, -25, -14, -3, 7, 11, 16, 21]

Pass 7:
  Compare -72 and -32
  No swap needed
  Compare -32 and -92
  Swap -32 and -92
  List after swap: [-72, -92, -32, -25, -14, -3, 7, 11, 16, 21]
  Compare -32 and -25
  No swap needed

Pass 8:
  Compare -72 and -92
  Swap -72 and -92
  List after swap: [-92, -72, -32, -25, -14, -3, 7, 11, 16, 21]
  Compare -72 and -32
  No swap needed

Pass 9:
  Compare -92 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -72, -32, -25, -14, -3, 7, 11, 16, 21]
</think>

<response>-92, -72, -32, -25, -14, -3, 7, 11, 16, 21</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -38, -8, -37, 76.

output:
<think>
Initial list: [-38, -8, -37, 76]

Pass 1:
  Compare -38 and -8
  No swap needed
  Compare -8 and -37
  Swap -8 and -37
  List after swap: [-38, -37, -8, 76]
  Compare -8 and 76
  No swap needed

Pass 2:
  Compare -38 and -37
  No swap needed
  Compare -37 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, -37, -8, 76]
</think>

<response>-38, -37, -8, 76</response>


input: Demonstrate how bubble sort orders the integers 12, -91, -61, -93, 85, 45, -86, -41, 40, 91 in ascending sequence, showing all steps.

output:
<think>
Initial list: [12, -91, -61, -93, 85, 45, -86, -41, 40, 91]

Pass 1:
  Compare 12 and -91
  Swap 12 and -91
  List after swap: [-91, 12, -61, -93, 85, 45, -86, -41, 40, 91]
  Compare 12 and -61
  Swap 12 and -61
  List after swap: [-91, -61, 12, -93, 85, 45, -86, -41, 40, 91]
  Compare 12 and -93
  Swap 12 and -93
  List after swap: [-91, -61, -93, 12, 85, 45, -86, -41, 40, 91]
  Compare 12 and 85
  No swap needed
  Compare 85 and 45
  Swap 85 and 45
  List after swap: [-91, -61, -93, 12, 45, 85, -86, -41, 40, 91]
  Compare 85 and -86
  Swap 85 and -86
  List after swap: [-91, -61, -93, 12, 45, -86, 85, -41, 40, 91]
  Compare 85 and -41
  Swap 85 and -41
  List after swap: [-91, -61, -93, 12, 45, -86, -41, 85, 40, 91]
  Compare 85 and 40
  Swap 85 and 40
  List after swap: [-91, -61, -93, 12, 45, -86, -41, 40, 85, 91]
  Compare 85 and 91
  No swap needed

Pass 2:
  Compare -91 and -61
  No swap needed
  Compare -61 and -93
  Swap -61 and -93
  List after swap: [-91, -93, -61, 12, 45, -86, -41, 40, 85, 91]
  Compare -61 and 12
  No swap needed
  Compare 12 and 45
  No swap needed
  Compare 45 and -86
  Swap 45 and -86
  List after swap: [-91, -93, -61, 12, -86, 45, -41, 40, 85, 91]
  Compare 45 and -41
  Swap 45 and -41
  List after swap: [-91, -93, -61, 12, -86, -41, 45, 40, 85, 91]
  Compare 45 and 40
  Swap 45 and 40
  List after swap: [-91, -93, -61, 12, -86, -41, 40, 45, 85, 91]
  Compare 45 and 85
  No swap needed

Pass 3:
  Compare -91 and -93
  Swap -91 and -93
  List after swap: [-93, -91, -61, 12, -86, -41, 40, 45, 85, 91]
  Compare -91 and -61
  No swap needed
  Compare -61 and 12
  No swap needed
  Compare 12 and -86
  Swap 12 and -86
  List after swap: [-93, -91, -61, -86, 12, -41, 40, 45, 85, 91]
  Compare 12 and -41
  Swap 12 and -41
  List after swap: [-93, -91, -61, -86, -41, 12, 40, 45, 85, 91]
  Compare 12 and 40
  No swap needed
  Compare 40 and 45
  No swap needed

Pass 4:
  Compare -93 and -91
  No swap needed
  Compare -91 and -61
  No swap needed
  Compare -61 and -86
  Swap -61 and -86
  List after swap: [-93, -91, -86, -61, -41, 12, 40, 45, 85, 91]
  Compare -61 and -41
  No swap needed
  Compare -41 and 12
  No swap needed
  Compare 12 and 40
  No swap needed

Pass 5:
  Compare -93 and -91
  No swap needed
  Compare -91 and -86
  No swap needed
  Compare -86 and -61
  No swap needed
  Compare -61 and -41
  No swap needed
  Compare -41 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -91, -86, -61, -41, 12, 40, 45, 85, 91]
</think>

<response>-93, -91, -86, -61, -41, 12, 40, 45, 85, 91</response>


input: Perform a bubble sort on the integers -23, 22, 95, 41, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-23, 22, 95, 41]

Pass 1:
  Compare -23 and 22
  No swap needed
  Compare 22 and 95
  No swap needed
  Compare 95 and 41
  Swap 95 and 41
  List after swap: [-23, 22, 41, 95]

Pass 2:
  Compare -23 and 22
  No swap needed
  Compare 22 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, 22, 41, 95]
</think>

<response>-23, 22, 41, 95</response>


input: Perform a bubble sort on the integers -23, 72, 15, 16, -60, -46, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-23, 72, 15, 16, -60, -46]

Pass 1:
  Compare -23 and 72
  No swap needed
  Compare 72 and 15
  Swap 72 and 15
  List after swap: [-23, 15, 72, 16, -60, -46]
  Compare 72 and 16
  Swap 72 and 16
  List after swap: [-23, 15, 16, 72, -60, -46]
  Compare 72 and -60
  Swap 72 and -60
  List after swap: [-23, 15, 16, -60, 72, -46]
  Compare 72 and -46
  Swap 72 and -46
  List after swap: [-23, 15, 16, -60, -46, 72]

Pass 2:
  Compare -23 and 15
  No swap needed
  Compare 15 and 16
  No swap needed
  Compare 16 and -60
  Swap 16 and -60
  List after swap: [-23, 15, -60, 16, -46, 72]
  Compare 16 and -46
  Swap 16 and -46
  List after swap: [-23, 15, -60, -46, 16, 72]

Pass 3:
  Compare -23 and 15
  No swap needed
  Compare 15 and -60
  Swap 15 and -60
  List after swap: [-23, -60, 15, -46, 16, 72]
  Compare 15 and -46
  Swap 15 and -46
  List after swap: [-23, -60, -46, 15, 16, 72]

Pass 4:
  Compare -23 and -60
  Swap -23 and -60
  List after swap: [-60, -23, -46, 15, 16, 72]
  Compare -23 and -46
  Swap -23 and -46
  List after swap: [-60, -46, -23, 15, 16, 72]

Pass 5:
  Compare -60 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -46, -23, 15, 16, 72]
</think>

<response>-60, -46, -23, 15, 16, 72</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -27, -40, -7, 77, -99, 48, 59, 1, 22, -9.

output:
<think>
Initial list: [-27, -40, -7, 77, -99, 48, 59, 1, 22, -9]

Pass 1:
  Compare -27 and -40
  Swap -27 and -40
  List after swap: [-40, -27, -7, 77, -99, 48, 59, 1, 22, -9]
  Compare -27 and -7
  No swap needed
  Compare -7 and 77
  No swap needed
  Compare 77 and -99
  Swap 77 and -99
  List after swap: [-40, -27, -7, -99, 77, 48, 59, 1, 22, -9]
  Compare 77 and 48
  Swap 77 and 48
  List after swap: [-40, -27, -7, -99, 48, 77, 59, 1, 22, -9]
  Compare 77 and 59
  Swap 77 and 59
  List after swap: [-40, -27, -7, -99, 48, 59, 77, 1, 22, -9]
  Compare 77 and 1
  Swap 77 and 1
  List after swap: [-40, -27, -7, -99, 48, 59, 1, 77, 22, -9]
  Compare 77 and 22
  Swap 77 and 22
  List after swap: [-40, -27, -7, -99, 48, 59, 1, 22, 77, -9]
  Compare 77 and -9
  Swap 77 and -9
  List after swap: [-40, -27, -7, -99, 48, 59, 1, 22, -9, 77]

Pass 2:
  Compare -40 and -27
  No swap needed
  Compare -27 and -7
  No swap needed
  Compare -7 and -99
  Swap -7 and -99
  List after swap: [-40, -27, -99, -7, 48, 59, 1, 22, -9, 77]
  Compare -7 and 48
  No swap needed
  Compare 48 and 59
  No swap needed
  Compare 59 and 1
  Swap 59 and 1
  List after swap: [-40, -27, -99, -7, 48, 1, 59, 22, -9, 77]
  Compare 59 and 22
  Swap 59 and 22
  List after swap: [-40, -27, -99, -7, 48, 1, 22, 59, -9, 77]
  Compare 59 and -9
  Swap 59 and -9
  List after swap: [-40, -27, -99, -7, 48, 1, 22, -9, 59, 77]

Pass 3:
  Compare -40 and -27
  No swap needed
  Compare -27 and -99
  Swap -27 and -99
  List after swap: [-40, -99, -27, -7, 48, 1, 22, -9, 59, 77]
  Compare -27 and -7
  No swap needed
  Compare -7 and 48
  No swap needed
  Compare 48 and 1
  Swap 48 and 1
  List after swap: [-40, -99, -27, -7, 1, 48, 22, -9, 59, 77]
  Compare 48 and 22
  Swap 48 and 22
  List after swap: [-40, -99, -27, -7, 1, 22, 48, -9, 59, 77]
  Compare 48 and -9
  Swap 48 and -9
  List after swap: [-40, -99, -27, -7, 1, 22, -9, 48, 59, 77]

Pass 4:
  Compare -40 and -99
  Swap -40 and -99
  List after swap: [-99, -40, -27, -7, 1, 22, -9, 48, 59, 77]
  Compare -40 and -27
  No swap needed
  Compare -27 and -7
  No swap needed
  Compare -7 and 1
  No swap needed
  Compare 1 and 22
  No swap needed
  Compare 22 and -9
  Swap 22 and -9
  List after swap: [-99, -40, -27, -7, 1, -9, 22, 48, 59, 77]

Pass 5:
  Compare -99 and -40
  No swap needed
  Compare -40 and -27
  No swap needed
  Compare -27 and -7
  No swap needed
  Compare -7 and 1
  No swap needed
  Compare 1 and -9
  Swap 1 and -9
  List after swap: [-99, -40, -27, -7, -9, 1, 22, 48, 59, 77]

Pass 6:
  Compare -99 and -40
  No swap needed
  Compare -40 and -27
  No swap needed
  Compare -27 and -7
  No swap needed
  Compare -7 and -9
  Swap -7 and -9
  List after swap: [-99, -40, -27, -9, -7, 1, 22, 48, 59, 77]

Pass 7:
  Compare -99 and -40
  No swap needed
  Compare -40 and -27
  No swap needed
  Compare -27 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -40, -27, -9, -7, 1, 22, 48, 59, 77]
</think>

<response>-99, -40, -27, -9, -7, 1, 22, 48, 59, 77</response>


input: Use the bubble sort technique to reorder -2, 90, 92, 23, 70 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-2, 90, 92, 23, 70]

Pass 1:
  Compare -2 and 90
  No swap needed
  Compare 90 and 92
  No swap needed
  Compare 92 and 23
  Swap 92 and 23
  List after swap: [-2, 90, 23, 92, 70]
  Compare 92 and 70
  Swap 92 and 70
  List after swap: [-2, 90, 23, 70, 92]

Pass 2:
  Compare -2 and 90
  No swap needed
  Compare 90 and 23
  Swap 90 and 23
  List after swap: [-2, 23, 90, 70, 92]
  Compare 90 and 70
  Swap 90 and 70
  List after swap: [-2, 23, 70, 90, 92]

Pass 3:
  Compare -2 and 23
  No swap needed
  Compare 23 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-2, 23, 70, 90, 92]
</think>

<response>-2, 23, 70, 90, 92</response>


input: Implement bubble sort on -78, 24, 80, 99 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-78, 24, 80, 99]

Pass 1:
  Compare -78 and 24
  No swap needed
  Compare 24 and 80
  No swap needed
  Compare 80 and 99
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 24, 80, 99]
</think>

<response>-78, 24, 80, 99</response>


input: Implement bubble sort on -38, 63, -90, -84, 62, 11, -53, 89, 27, 78 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-38, 63, -90, -84, 62, 11, -53, 89, 27, 78]

Pass 1:
  Compare -38 and 63
  No swap needed
  Compare 63 and -90
  Swap 63 and -90
  List after swap: [-38, -90, 63, -84, 62, 11, -53, 89, 27, 78]
  Compare 63 and -84
  Swap 63 and -84
  List after swap: [-38, -90, -84, 63, 62, 11, -53, 89, 27, 78]
  Compare 63 and 62
  Swap 63 and 62
  List after swap: [-38, -90, -84, 62, 63, 11, -53, 89, 27, 78]
  Compare 63 and 11
  Swap 63 and 11
  List after swap: [-38, -90, -84, 62, 11, 63, -53, 89, 27, 78]
  Compare 63 and -53
  Swap 63 and -53
  List after swap: [-38, -90, -84, 62, 11, -53, 63, 89, 27, 78]
  Compare 63 and 89
  No swap needed
  Compare 89 and 27
  Swap 89 and 27
  List after swap: [-38, -90, -84, 62, 11, -53, 63, 27, 89, 78]
  Compare 89 and 78
  Swap 89 and 78
  List after swap: [-38, -90, -84, 62, 11, -53, 63, 27, 78, 89]

Pass 2:
  Compare -38 and -90
  Swap -38 and -90
  List after swap: [-90, -38, -84, 62, 11, -53, 63, 27, 78, 89]
  Compare -38 and -84
  Swap -38 and -84
  List after swap: [-90, -84, -38, 62, 11, -53, 63, 27, 78, 89]
  Compare -38 and 62
  No swap needed
  Compare 62 and 11
  Swap 62 and 11
  List after swap: [-90, -84, -38, 11, 62, -53, 63, 27, 78, 89]
  Compare 62 and -53
  Swap 62 and -53
  List after swap: [-90, -84, -38, 11, -53, 62, 63, 27, 78, 89]
  Compare 62 and 63
  No swap needed
  Compare 63 and 27
  Swap 63 and 27
  List after swap: [-90, -84, -38, 11, -53, 62, 27, 63, 78, 89]
  Compare 63 and 78
  No swap needed

Pass 3:
  Compare -90 and -84
  No swap needed
  Compare -84 and -38
  No swap needed
  Compare -38 and 11
  No swap needed
  Compare 11 and -53
  Swap 11 and -53
  List after swap: [-90, -84, -38, -53, 11, 62, 27, 63, 78, 89]
  Compare 11 and 62
  No swap needed
  Compare 62 and 27
  Swap 62 and 27
  List after swap: [-90, -84, -38, -53, 11, 27, 62, 63, 78, 89]
  Compare 62 and 63
  No swap needed

Pass 4:
  Compare -90 and -84
  No swap needed
  Compare -84 and -38
  No swap needed
  Compare -38 and -53
  Swap -38 and -53
  List after swap: [-90, -84, -53, -38, 11, 27, 62, 63, 78, 89]
  Compare -38 and 11
  No swap needed
  Compare 11 and 27
  No swap needed
  Compare 27 and 62
  No swap needed

Pass 5:
  Compare -90 and -84
  No swap needed
  Compare -84 and -53
  No swap needed
  Compare -53 and -38
  No swap needed
  Compare -38 and 11
  No swap needed
  Compare 11 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -84, -53, -38, 11, 27, 62, 63, 78, 89]
</think>

<response>-90, -84, -53, -38, 11, 27, 62, 63, 78, 89</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 54, 27, -31, -35, 60, 74, -30, -95, 89.

output:
<think>
Initial list: [54, 27, -31, -35, 60, 74, -30, -95, 89]

Pass 1:
  Compare 54 and 27
  Swap 54 and 27
  List after swap: [27, 54, -31, -35, 60, 74, -30, -95, 89]
  Compare 54 and -31
  Swap 54 and -31
  List after swap: [27, -31, 54, -35, 60, 74, -30, -95, 89]
  Compare 54 and -35
  Swap 54 and -35
  List after swap: [27, -31, -35, 54, 60, 74, -30, -95, 89]
  Compare 54 and 60
  No swap needed
  Compare 60 and 74
  No swap needed
  Compare 74 and -30
  Swap 74 and -30
  List after swap: [27, -31, -35, 54, 60, -30, 74, -95, 89]
  Compare 74 and -95
  Swap 74 and -95
  List after swap: [27, -31, -35, 54, 60, -30, -95, 74, 89]
  Compare 74 and 89
  No swap needed

Pass 2:
  Compare 27 and -31
  Swap 27 and -31
  List after swap: [-31, 27, -35, 54, 60, -30, -95, 74, 89]
  Compare 27 and -35
  Swap 27 and -35
  List after swap: [-31, -35, 27, 54, 60, -30, -95, 74, 89]
  Compare 27 and 54
  No swap needed
  Compare 54 and 60
  No swap needed
  Compare 60 and -30
  Swap 60 and -30
  List after swap: [-31, -35, 27, 54, -30, 60, -95, 74, 89]
  Compare 60 and -95
  Swap 60 and -95
  List after swap: [-31, -35, 27, 54, -30, -95, 60, 74, 89]
  Compare 60 and 74
  No swap needed

Pass 3:
  Compare -31 and -35
  Swap -31 and -35
  List after swap: [-35, -31, 27, 54, -30, -95, 60, 74, 89]
  Compare -31 and 27
  No swap needed
  Compare 27 and 54
  No swap needed
  Compare 54 and -30
  Swap 54 and -30
  List after swap: [-35, -31, 27, -30, 54, -95, 60, 74, 89]
  Compare 54 and -95
  Swap 54 and -95
  List after swap: [-35, -31, 27, -30, -95, 54, 60, 74, 89]
  Compare 54 and 60
  No swap needed

Pass 4:
  Compare -35 and -31
  No swap needed
  Compare -31 and 27
  No swap needed
  Compare 27 and -30
  Swap 27 and -30
  List after swap: [-35, -31, -30, 27, -95, 54, 60, 74, 89]
  Compare 27 and -95
  Swap 27 and -95
  List after swap: [-35, -31, -30, -95, 27, 54, 60, 74, 89]
  Compare 27 and 54
  No swap needed

Pass 5:
  Compare -35 and -31
  No swap needed
  Compare -31 and -30
  No swap needed
  Compare -30 and -95
  Swap -30 and -95
  List after swap: [-35, -31, -95, -30, 27, 54, 60, 74, 89]
  Compare -30 and 27
  No swap needed

Pass 6:
  Compare -35 and -31
  No swap needed
  Compare -31 and -95
  Swap -31 and -95
  List after swap: [-35, -95, -31, -30, 27, 54, 60, 74, 89]
  Compare -31 and -30
  No swap needed

Pass 7:
  Compare -35 and -95
  Swap -35 and -95
  List after swap: [-95, -35, -31, -30, 27, 54, 60, 74, 89]
  Compare -35 and -31
  No swap needed

Pass 8:
  Compare -95 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -35, -31, -30, 27, 54, 60, 74, 89]
</think>

<response>-95, -35, -31, -30, 27, 54, 60, 74, 89</response>


input: Execute bubble sort to sort 35, 13, -34, 36, -20 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [35, 13, -34, 36, -20]

Pass 1:
  Compare 35 and 13
  Swap 35 and 13
  List after swap: [13, 35, -34, 36, -20]
  Compare 35 and -34
  Swap 35 and -34
  List after swap: [13, -34, 35, 36, -20]
  Compare 35 and 36
  No swap needed
  Compare 36 and -20
  Swap 36 and -20
  List after swap: [13, -34, 35, -20, 36]

Pass 2:
  Compare 13 and -34
  Swap 13 and -34
  List after swap: [-34, 13, 35, -20, 36]
  Compare 13 and 35
  No swap needed
  Compare 35 and -20
  Swap 35 and -20
  List after swap: [-34, 13, -20, 35, 36]

Pass 3:
  Compare -34 and 13
  No swap needed
  Compare 13 and -20
  Swap 13 and -20
  List after swap: [-34, -20, 13, 35, 36]

Pass 4:
  Compare -34 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, -20, 13, 35, 36]
</think>

<response>-34, -20, 13, 35, 36</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -66, 14, 29, 43, 22.

output:
<think>
Initial list: [-66, 14, 29, 43, 22]

Pass 1:
  Compare -66 and 14
  No swap needed
  Compare 14 and 29
  No swap needed
  Compare 29 and 43
  No swap needed
  Compare 43 and 22
  Swap 43 and 22
  List after swap: [-66, 14, 29, 22, 43]

Pass 2:
  Compare -66 and 14
  No swap needed
  Compare 14 and 29
  No swap needed
  Compare 29 and 22
  Swap 29 and 22
  List after swap: [-66, 14, 22, 29, 43]

Pass 3:
  Compare -66 and 14
  No swap needed
  Compare 14 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, 14, 22, 29, 43]
</think>

<response>-66, 14, 22, 29, 43</response>