input: Carry out the bubble sort algorithm on 8, 93, -52, 23, 6, 16, -82, 22 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [8, 93, -52, 23, 6, 16, -82, 22]

Pass 1:
  Compare 8 and 93
  No swap needed
  Compare 93 and -52
  Swap 93 and -52
  List after swap: [8, -52, 93, 23, 6, 16, -82, 22]
  Compare 93 and 23
  Swap 93 and 23
  List after swap: [8, -52, 23, 93, 6, 16, -82, 22]
  Compare 93 and 6
  Swap 93 and 6
  List after swap: [8, -52, 23, 6, 93, 16, -82, 22]
  Compare 93 and 16
  Swap 93 and 16
  List after swap: [8, -52, 23, 6, 16, 93, -82, 22]
  Compare 93 and -82
  Swap 93 and -82
  List after swap: [8, -52, 23, 6, 16, -82, 93, 22]
  Compare 93 and 22
  Swap 93 and 22
  List after swap: [8, -52, 23, 6, 16, -82, 22, 93]

Pass 2:
  Compare 8 and -52
  Swap 8 and -52
  List after swap: [-52, 8, 23, 6, 16, -82, 22, 93]
  Compare 8 and 23
  No swap needed
  Compare 23 and 6
  Swap 23 and 6
  List after swap: [-52, 8, 6, 23, 16, -82, 22, 93]
  Compare 23 and 16
  Swap 23 and 16
  List after swap: [-52, 8, 6, 16, 23, -82, 22, 93]
  Compare 23 and -82
  Swap 23 and -82
  List after swap: [-52, 8, 6, 16, -82, 23, 22, 93]
  Compare 23 and 22
  Swap 23 and 22
  List after swap: [-52, 8, 6, 16, -82, 22, 23, 93]

Pass 3:
  Compare -52 and 8
  No swap needed
  Compare 8 and 6
  Swap 8 and 6
  List after swap: [-52, 6, 8, 16, -82, 22, 23, 93]
  Compare 8 and 16
  No swap needed
  Compare 16 and -82
  Swap 16 and -82
  List after swap: [-52, 6, 8, -82, 16, 22, 23, 93]
  Compare 16 and 22
  No swap needed

Pass 4:
  Compare -52 and 6
  No swap needed
  Compare 6 and 8
  No swap needed
  Compare 8 and -82
  Swap 8 and -82
  List after swap: [-52, 6, -82, 8, 16, 22, 23, 93]
  Compare 8 and 16
  No swap needed

Pass 5:
  Compare -52 and 6
  No swap needed
  Compare 6 and -82
  Swap 6 and -82
  List after swap: [-52, -82, 6, 8, 16, 22, 23, 93]
  Compare 6 and 8
  No swap needed

Pass 6:
  Compare -52 and -82
  Swap -52 and -82
  List after swap: [-82, -52, 6, 8, 16, 22, 23, 93]
  Compare -52 and 6
  No swap needed

Pass 7:
  Compare -82 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -52, 6, 8, 16, 22, 23, 93]
</think>

<response>-82, -52, 6, 8, 16, 22, 23, 93</response>


input: Carry out the bubble sort algorithm on -79, 4, -30, -76, 71, 68, -89 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-79, 4, -30, -76, 71, 68, -89]

Pass 1:
  Compare -79 and 4
  No swap needed
  Compare 4 and -30
  Swap 4 and -30
  List after swap: [-79, -30, 4, -76, 71, 68, -89]
  Compare 4 and -76
  Swap 4 and -76
  List after swap: [-79, -30, -76, 4, 71, 68, -89]
  Compare 4 and 71
  No swap needed
  Compare 71 and 68
  Swap 71 and 68
  List after swap: [-79, -30, -76, 4, 68, 71, -89]
  Compare 71 and -89
  Swap 71 and -89
  List after swap: [-79, -30, -76, 4, 68, -89, 71]

Pass 2:
  Compare -79 and -30
  No swap needed
  Compare -30 and -76
  Swap -30 and -76
  List after swap: [-79, -76, -30, 4, 68, -89, 71]
  Compare -30 and 4
  No swap needed
  Compare 4 and 68
  No swap needed
  Compare 68 and -89
  Swap 68 and -89
  List after swap: [-79, -76, -30, 4, -89, 68, 71]

Pass 3:
  Compare -79 and -76
  No swap needed
  Compare -76 and -30
  No swap needed
  Compare -30 and 4
  No swap needed
  Compare 4 and -89
  Swap 4 and -89
  List after swap: [-79, -76, -30, -89, 4, 68, 71]

Pass 4:
  Compare -79 and -76
  No swap needed
  Compare -76 and -30
  No swap needed
  Compare -30 and -89
  Swap -30 and -89
  List after swap: [-79, -76, -89, -30, 4, 68, 71]

Pass 5:
  Compare -79 and -76
  No swap needed
  Compare -76 and -89
  Swap -76 and -89
  List after swap: [-79, -89, -76, -30, 4, 68, 71]

Pass 6:
  Compare -79 and -89
  Swap -79 and -89
  List after swap: [-89, -79, -76, -30, 4, 68, 71]

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

Final sorted list: [-89, -79, -76, -30, 4, 68, 71]
</think>

<response>-89, -79, -76, -30, 4, 68, 71</response>


input: Using the bubble sort method, sort 13, -11, -34, -93, 66, 55 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [13, -11, -34, -93, 66, 55]

Pass 1:
  Compare 13 and -11
  Swap 13 and -11
  List after swap: [-11, 13, -34, -93, 66, 55]
  Compare 13 and -34
  Swap 13 and -34
  List after swap: [-11, -34, 13, -93, 66, 55]
  Compare 13 and -93
  Swap 13 and -93
  List after swap: [-11, -34, -93, 13, 66, 55]
  Compare 13 and 66
  No swap needed
  Compare 66 and 55
  Swap 66 and 55
  List after swap: [-11, -34, -93, 13, 55, 66]

Pass 2:
  Compare -11 and -34
  Swap -11 and -34
  List after swap: [-34, -11, -93, 13, 55, 66]
  Compare -11 and -93
  Swap -11 and -93
  List after swap: [-34, -93, -11, 13, 55, 66]
  Compare -11 and 13
  No swap needed
  Compare 13 and 55
  No swap needed

Pass 3:
  Compare -34 and -93
  Swap -34 and -93
  List after swap: [-93, -34, -11, 13, 55, 66]
  Compare -34 and -11
  No swap needed
  Compare -11 and 13
  No swap needed

Pass 4:
  Compare -93 and -34
  No swap needed
  Compare -34 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -34, -11, 13, 55, 66]
</think>

<response>-93, -34, -11, 13, 55, 66</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 31, -89, -100, 85, 55, 39, -11, 11, -58, -13.

output:
<think>
Initial list: [31, -89, -100, 85, 55, 39, -11, 11, -58, -13]

Pass 1:
  Compare 31 and -89
  Swap 31 and -89
  List after swap: [-89, 31, -100, 85, 55, 39, -11, 11, -58, -13]
  Compare 31 and -100
  Swap 31 and -100
  List after swap: [-89, -100, 31, 85, 55, 39, -11, 11, -58, -13]
  Compare 31 and 85
  No swap needed
  Compare 85 and 55
  Swap 85 and 55
  List after swap: [-89, -100, 31, 55, 85, 39, -11, 11, -58, -13]
  Compare 85 and 39
  Swap 85 and 39
  List after swap: [-89, -100, 31, 55, 39, 85, -11, 11, -58, -13]
  Compare 85 and -11
  Swap 85 and -11
  List after swap: [-89, -100, 31, 55, 39, -11, 85, 11, -58, -13]
  Compare 85 and 11
  Swap 85 and 11
  List after swap: [-89, -100, 31, 55, 39, -11, 11, 85, -58, -13]
  Compare 85 and -58
  Swap 85 and -58
  List after swap: [-89, -100, 31, 55, 39, -11, 11, -58, 85, -13]
  Compare 85 and -13
  Swap 85 and -13
  List after swap: [-89, -100, 31, 55, 39, -11, 11, -58, -13, 85]

Pass 2:
  Compare -89 and -100
  Swap -89 and -100
  List after swap: [-100, -89, 31, 55, 39, -11, 11, -58, -13, 85]
  Compare -89 and 31
  No swap needed
  Compare 31 and 55
  No swap needed
  Compare 55 and 39
  Swap 55 and 39
  List after swap: [-100, -89, 31, 39, 55, -11, 11, -58, -13, 85]
  Compare 55 and -11
  Swap 55 and -11
  List after swap: [-100, -89, 31, 39, -11, 55, 11, -58, -13, 85]
  Compare 55 and 11
  Swap 55 and 11
  List after swap: [-100, -89, 31, 39, -11, 11, 55, -58, -13, 85]
  Compare 55 and -58
  Swap 55 and -58
  List after swap: [-100, -89, 31, 39, -11, 11, -58, 55, -13, 85]
  Compare 55 and -13
  Swap 55 and -13
  List after swap: [-100, -89, 31, 39, -11, 11, -58, -13, 55, 85]

Pass 3:
  Compare -100 and -89
  No swap needed
  Compare -89 and 31
  No swap needed
  Compare 31 and 39
  No swap needed
  Compare 39 and -11
  Swap 39 and -11
  List after swap: [-100, -89, 31, -11, 39, 11, -58, -13, 55, 85]
  Compare 39 and 11
  Swap 39 and 11
  List after swap: [-100, -89, 31, -11, 11, 39, -58, -13, 55, 85]
  Compare 39 and -58
  Swap 39 and -58
  List after swap: [-100, -89, 31, -11, 11, -58, 39, -13, 55, 85]
  Compare 39 and -13
  Swap 39 and -13
  List after swap: [-100, -89, 31, -11, 11, -58, -13, 39, 55, 85]

Pass 4:
  Compare -100 and -89
  No swap needed
  Compare -89 and 31
  No swap needed
  Compare 31 and -11
  Swap 31 and -11
  List after swap: [-100, -89, -11, 31, 11, -58, -13, 39, 55, 85]
  Compare 31 and 11
  Swap 31 and 11
  List after swap: [-100, -89, -11, 11, 31, -58, -13, 39, 55, 85]
  Compare 31 and -58
  Swap 31 and -58
  List after swap: [-100, -89, -11, 11, -58, 31, -13, 39, 55, 85]
  Compare 31 and -13
  Swap 31 and -13
  List after swap: [-100, -89, -11, 11, -58, -13, 31, 39, 55, 85]

Pass 5:
  Compare -100 and -89
  No swap needed
  Compare -89 and -11
  No swap needed
  Compare -11 and 11
  No swap needed
  Compare 11 and -58
  Swap 11 and -58
  List after swap: [-100, -89, -11, -58, 11, -13, 31, 39, 55, 85]
  Compare 11 and -13
  Swap 11 and -13
  List after swap: [-100, -89, -11, -58, -13, 11, 31, 39, 55, 85]

Pass 6:
  Compare -100 and -89
  No swap needed
  Compare -89 and -11
  No swap needed
  Compare -11 and -58
  Swap -11 and -58
  List after swap: [-100, -89, -58, -11, -13, 11, 31, 39, 55, 85]
  Compare -11 and -13
  Swap -11 and -13
  List after swap: [-100, -89, -58, -13, -11, 11, 31, 39, 55, 85]

Pass 7:
  Compare -100 and -89
  No swap needed
  Compare -89 and -58
  No swap needed
  Compare -58 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -89, -58, -13, -11, 11, 31, 39, 55, 85]
</think>

<response>-100, -89, -58, -13, -11, 11, 31, 39, 55, 85</response>


input: Using the bubble sort method, sort -29, -83, 74, -9, 69, 77 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-29, -83, 74, -9, 69, 77]

Pass 1:
  Compare -29 and -83
  Swap -29 and -83
  List after swap: [-83, -29, 74, -9, 69, 77]
  Compare -29 and 74
  No swap needed
  Compare 74 and -9
  Swap 74 and -9
  List after swap: [-83, -29, -9, 74, 69, 77]
  Compare 74 and 69
  Swap 74 and 69
  List after swap: [-83, -29, -9, 69, 74, 77]
  Compare 74 and 77
  No swap needed

Pass 2:
  Compare -83 and -29
  No swap needed
  Compare -29 and -9
  No swap needed
  Compare -9 and 69
  No swap needed
  Compare 69 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -29, -9, 69, 74, 77]
</think>

<response>-83, -29, -9, 69, 74, 77</response>


input: Sort the list 76, -7, 37, 66, -19, -31, -77, -91, -79 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [76, -7, 37, 66, -19, -31, -77, -91, -79]

Pass 1:
  Compare 76 and -7
  Swap 76 and -7
  List after swap: [-7, 76, 37, 66, -19, -31, -77, -91, -79]
  Compare 76 and 37
  Swap 76 and 37
  List after swap: [-7, 37, 76, 66, -19, -31, -77, -91, -79]
  Compare 76 and 66
  Swap 76 and 66
  List after swap: [-7, 37, 66, 76, -19, -31, -77, -91, -79]
  Compare 76 and -19
  Swap 76 and -19
  List after swap: [-7, 37, 66, -19, 76, -31, -77, -91, -79]
  Compare 76 and -31
  Swap 76 and -31
  List after swap: [-7, 37, 66, -19, -31, 76, -77, -91, -79]
  Compare 76 and -77
  Swap 76 and -77
  List after swap: [-7, 37, 66, -19, -31, -77, 76, -91, -79]
  Compare 76 and -91
  Swap 76 and -91
  List after swap: [-7, 37, 66, -19, -31, -77, -91, 76, -79]
  Compare 76 and -79
  Swap 76 and -79
  List after swap: [-7, 37, 66, -19, -31, -77, -91, -79, 76]

Pass 2:
  Compare -7 and 37
  No swap needed
  Compare 37 and 66
  No swap needed
  Compare 66 and -19
  Swap 66 and -19
  List after swap: [-7, 37, -19, 66, -31, -77, -91, -79, 76]
  Compare 66 and -31
  Swap 66 and -31
  List after swap: [-7, 37, -19, -31, 66, -77, -91, -79, 76]
  Compare 66 and -77
  Swap 66 and -77
  List after swap: [-7, 37, -19, -31, -77, 66, -91, -79, 76]
  Compare 66 and -91
  Swap 66 and -91
  List after swap: [-7, 37, -19, -31, -77, -91, 66, -79, 76]
  Compare 66 and -79
  Swap 66 and -79
  List after swap: [-7, 37, -19, -31, -77, -91, -79, 66, 76]

Pass 3:
  Compare -7 and 37
  No swap needed
  Compare 37 and -19
  Swap 37 and -19
  List after swap: [-7, -19, 37, -31, -77, -91, -79, 66, 76]
  Compare 37 and -31
  Swap 37 and -31
  List after swap: [-7, -19, -31, 37, -77, -91, -79, 66, 76]
  Compare 37 and -77
  Swap 37 and -77
  List after swap: [-7, -19, -31, -77, 37, -91, -79, 66, 76]
  Compare 37 and -91
  Swap 37 and -91
  List after swap: [-7, -19, -31, -77, -91, 37, -79, 66, 76]
  Compare 37 and -79
  Swap 37 and -79
  List after swap: [-7, -19, -31, -77, -91, -79, 37, 66, 76]

Pass 4:
  Compare -7 and -19
  Swap -7 and -19
  List after swap: [-19, -7, -31, -77, -91, -79, 37, 66, 76]
  Compare -7 and -31
  Swap -7 and -31
  List after swap: [-19, -31, -7, -77, -91, -79, 37, 66, 76]
  Compare -7 and -77
  Swap -7 and -77
  List after swap: [-19, -31, -77, -7, -91, -79, 37, 66, 76]
  Compare -7 and -91
  Swap -7 and -91
  List after swap: [-19, -31, -77, -91, -7, -79, 37, 66, 76]
  Compare -7 and -79
  Swap -7 and -79
  List after swap: [-19, -31, -77, -91, -79, -7, 37, 66, 76]

Pass 5:
  Compare -19 and -31
  Swap -19 and -31
  List after swap: [-31, -19, -77, -91, -79, -7, 37, 66, 76]
  Compare -19 and -77
  Swap -19 and -77
  List after swap: [-31, -77, -19, -91, -79, -7, 37, 66, 76]
  Compare -19 and -91
  Swap -19 and -91
  List after swap: [-31, -77, -91, -19, -79, -7, 37, 66, 76]
  Compare -19 and -79
  Swap -19 and -79
  List after swap: [-31, -77, -91, -79, -19, -7, 37, 66, 76]

Pass 6:
  Compare -31 and -77
  Swap -31 and -77
  List after swap: [-77, -31, -91, -79, -19, -7, 37, 66, 76]
  Compare -31 and -91
  Swap -31 and -91
  List after swap: [-77, -91, -31, -79, -19, -7, 37, 66, 76]
  Compare -31 and -79
  Swap -31 and -79
  List after swap: [-77, -91, -79, -31, -19, -7, 37, 66, 76]

Pass 7:
  Compare -77 and -91
  Swap -77 and -91
  List after swap: [-91, -77, -79, -31, -19, -7, 37, 66, 76]
  Compare -77 and -79
  Swap -77 and -79
  List after swap: [-91, -79, -77, -31, -19, -7, 37, 66, 76]

Pass 8:
  Compare -91 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -79, -77, -31, -19, -7, 37, 66, 76]
</think>

<response>-91, -79, -77, -31, -19, -7, 37, 66, 76</response>


input: Implement bubble sort on -8, -55, 66 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-8, -55, 66]

Pass 1:
  Compare -8 and -55
  Swap -8 and -55
  List after swap: [-55, -8, 66]
  Compare -8 and 66
  No swap needed

Pass 2:
  Compare -55 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -8, 66]
</think>

<response>-55, -8, 66</response>


input: Perform a bubble sort on the integers -15, 49, 26, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-15, 49, 26]

Pass 1:
  Compare -15 and 49
  No swap needed
  Compare 49 and 26
  Swap 49 and 26
  List after swap: [-15, 26, 49]

Pass 2:
  Compare -15 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, 26, 49]
</think>

<response>-15, 26, 49</response>


input: Sort the list 73, -58, 33, 87, -70, -1, -38 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [73, -58, 33, 87, -70, -1, -38]

Pass 1:
  Compare 73 and -58
  Swap 73 and -58
  List after swap: [-58, 73, 33, 87, -70, -1, -38]
  Compare 73 and 33
  Swap 73 and 33
  List after swap: [-58, 33, 73, 87, -70, -1, -38]
  Compare 73 and 87
  No swap needed
  Compare 87 and -70
  Swap 87 and -70
  List after swap: [-58, 33, 73, -70, 87, -1, -38]
  Compare 87 and -1
  Swap 87 and -1
  List after swap: [-58, 33, 73, -70, -1, 87, -38]
  Compare 87 and -38
  Swap 87 and -38
  List after swap: [-58, 33, 73, -70, -1, -38, 87]

Pass 2:
  Compare -58 and 33
  No swap needed
  Compare 33 and 73
  No swap needed
  Compare 73 and -70
  Swap 73 and -70
  List after swap: [-58, 33, -70, 73, -1, -38, 87]
  Compare 73 and -1
  Swap 73 and -1
  List after swap: [-58, 33, -70, -1, 73, -38, 87]
  Compare 73 and -38
  Swap 73 and -38
  List after swap: [-58, 33, -70, -1, -38, 73, 87]

Pass 3:
  Compare -58 and 33
  No swap needed
  Compare 33 and -70
  Swap 33 and -70
  List after swap: [-58, -70, 33, -1, -38, 73, 87]
  Compare 33 and -1
  Swap 33 and -1
  List after swap: [-58, -70, -1, 33, -38, 73, 87]
  Compare 33 and -38
  Swap 33 and -38
  List after swap: [-58, -70, -1, -38, 33, 73, 87]

Pass 4:
  Compare -58 and -70
  Swap -58 and -70
  List after swap: [-70, -58, -1, -38, 33, 73, 87]
  Compare -58 and -1
  No swap needed
  Compare -1 and -38
  Swap -1 and -38
  List after swap: [-70, -58, -38, -1, 33, 73, 87]

Pass 5:
  Compare -70 and -58
  No swap needed
  Compare -58 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -58, -38, -1, 33, 73, 87]
</think>

<response>-70, -58, -38, -1, 33, 73, 87</response>


input: Sort the list -68, 89, -66, -23 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-68, 89, -66, -23]

Pass 1:
  Compare -68 and 89
  No swap needed
  Compare 89 and -66
  Swap 89 and -66
  List after swap: [-68, -66, 89, -23]
  Compare 89 and -23
  Swap 89 and -23
  List after swap: [-68, -66, -23, 89]

Pass 2:
  Compare -68 and -66
  No swap needed
  Compare -66 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -66, -23, 89]
</think>

<response>-68, -66, -23, 89</response>


input: Implement bubble sort on -27, 96, -76, -44, 51, -39, -78, 62, 80, 77 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-27, 96, -76, -44, 51, -39, -78, 62, 80, 77]

Pass 1:
  Compare -27 and 96
  No swap needed
  Compare 96 and -76
  Swap 96 and -76
  List after swap: [-27, -76, 96, -44, 51, -39, -78, 62, 80, 77]
  Compare 96 and -44
  Swap 96 and -44
  List after swap: [-27, -76, -44, 96, 51, -39, -78, 62, 80, 77]
  Compare 96 and 51
  Swap 96 and 51
  List after swap: [-27, -76, -44, 51, 96, -39, -78, 62, 80, 77]
  Compare 96 and -39
  Swap 96 and -39
  List after swap: [-27, -76, -44, 51, -39, 96, -78, 62, 80, 77]
  Compare 96 and -78
  Swap 96 and -78
  List after swap: [-27, -76, -44, 51, -39, -78, 96, 62, 80, 77]
  Compare 96 and 62
  Swap 96 and 62
  List after swap: [-27, -76, -44, 51, -39, -78, 62, 96, 80, 77]
  Compare 96 and 80
  Swap 96 and 80
  List after swap: [-27, -76, -44, 51, -39, -78, 62, 80, 96, 77]
  Compare 96 and 77
  Swap 96 and 77
  List after swap: [-27, -76, -44, 51, -39, -78, 62, 80, 77, 96]

Pass 2:
  Compare -27 and -76
  Swap -27 and -76
  List after swap: [-76, -27, -44, 51, -39, -78, 62, 80, 77, 96]
  Compare -27 and -44
  Swap -27 and -44
  List after swap: [-76, -44, -27, 51, -39, -78, 62, 80, 77, 96]
  Compare -27 and 51
  No swap needed
  Compare 51 and -39
  Swap 51 and -39
  List after swap: [-76, -44, -27, -39, 51, -78, 62, 80, 77, 96]
  Compare 51 and -78
  Swap 51 and -78
  List after swap: [-76, -44, -27, -39, -78, 51, 62, 80, 77, 96]
  Compare 51 and 62
  No swap needed
  Compare 62 and 80
  No swap needed
  Compare 80 and 77
  Swap 80 and 77
  List after swap: [-76, -44, -27, -39, -78, 51, 62, 77, 80, 96]

Pass 3:
  Compare -76 and -44
  No swap needed
  Compare -44 and -27
  No swap needed
  Compare -27 and -39
  Swap -27 and -39
  List after swap: [-76, -44, -39, -27, -78, 51, 62, 77, 80, 96]
  Compare -27 and -78
  Swap -27 and -78
  List after swap: [-76, -44, -39, -78, -27, 51, 62, 77, 80, 96]
  Compare -27 and 51
  No swap needed
  Compare 51 and 62
  No swap needed
  Compare 62 and 77
  No swap needed

Pass 4:
  Compare -76 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  Compare -39 and -78
  Swap -39 and -78
  List after swap: [-76, -44, -78, -39, -27, 51, 62, 77, 80, 96]
  Compare -39 and -27
  No swap needed
  Compare -27 and 51
  No swap needed
  Compare 51 and 62
  No swap needed

Pass 5:
  Compare -76 and -44
  No swap needed
  Compare -44 and -78
  Swap -44 and -78
  List after swap: [-76, -78, -44, -39, -27, 51, 62, 77, 80, 96]
  Compare -44 and -39
  No swap needed
  Compare -39 and -27
  No swap needed
  Compare -27 and 51
  No swap needed

Pass 6:
  Compare -76 and -78
  Swap -76 and -78
  List after swap: [-78, -76, -44, -39, -27, 51, 62, 77, 80, 96]
  Compare -76 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  Compare -39 and -27
  No swap needed

Pass 7:
  Compare -78 and -76
  No swap needed
  Compare -76 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -76, -44, -39, -27, 51, 62, 77, 80, 96]
</think>

<response>-78, -76, -44, -39, -27, 51, 62, 77, 80, 96</response>


input: Carry out the bubble sort algorithm on 0, -83, 87 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [0, -83, 87]

Pass 1:
  Compare 0 and -83
  Swap 0 and -83
  List after swap: [-83, 0, 87]
  Compare 0 and 87
  No swap needed

Pass 2:
  Compare -83 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, 0, 87]
</think>

<response>-83, 0, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 87, 6, 58, -15, 57.

output:
<think>
Initial list: [87, 6, 58, -15, 57]

Pass 1:
  Compare 87 and 6
  Swap 87 and 6
  List after swap: [6, 87, 58, -15, 57]
  Compare 87 and 58
  Swap 87 and 58
  List after swap: [6, 58, 87, -15, 57]
  Compare 87 and -15
  Swap 87 and -15
  List after swap: [6, 58, -15, 87, 57]
  Compare 87 and 57
  Swap 87 and 57
  List after swap: [6, 58, -15, 57, 87]

Pass 2:
  Compare 6 and 58
  No swap needed
  Compare 58 and -15
  Swap 58 and -15
  List after swap: [6, -15, 58, 57, 87]
  Compare 58 and 57
  Swap 58 and 57
  List after swap: [6, -15, 57, 58, 87]

Pass 3:
  Compare 6 and -15
  Swap 6 and -15
  List after swap: [-15, 6, 57, 58, 87]
  Compare 6 and 57
  No swap needed

Pass 4:
  Compare -15 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, 6, 57, 58, 87]
</think>

<response>-15, 6, 57, 58, 87</response>


input: Perform a bubble sort on the integers 42, -89, -84, 3, -37, -18, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [42, -89, -84, 3, -37, -18]

Pass 1:
  Compare 42 and -89
  Swap 42 and -89
  List after swap: [-89, 42, -84, 3, -37, -18]
  Compare 42 and -84
  Swap 42 and -84
  List after swap: [-89, -84, 42, 3, -37, -18]
  Compare 42 and 3
  Swap 42 and 3
  List after swap: [-89, -84, 3, 42, -37, -18]
  Compare 42 and -37
  Swap 42 and -37
  List after swap: [-89, -84, 3, -37, 42, -18]
  Compare 42 and -18
  Swap 42 and -18
  List after swap: [-89, -84, 3, -37, -18, 42]

Pass 2:
  Compare -89 and -84
  No swap needed
  Compare -84 and 3
  No swap needed
  Compare 3 and -37
  Swap 3 and -37
  List after swap: [-89, -84, -37, 3, -18, 42]
  Compare 3 and -18
  Swap 3 and -18
  List after swap: [-89, -84, -37, -18, 3, 42]

Pass 3:
  Compare -89 and -84
  No swap needed
  Compare -84 and -37
  No swap needed
  Compare -37 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -84, -37, -18, 3, 42]
</think>

<response>-89, -84, -37, -18, 3, 42</response>


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

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

Pass 1:
  Compare -78 and -72
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-78, -72</response>


input: Demonstrate how bubble sort orders the integers 26, -13, -63, -2, -5, -99, 13, -45, -31 in ascending sequence, showing all steps.

output:
<think>
Initial list: [26, -13, -63, -2, -5, -99, 13, -45, -31]

Pass 1:
  Compare 26 and -13
  Swap 26 and -13
  List after swap: [-13, 26, -63, -2, -5, -99, 13, -45, -31]
  Compare 26 and -63
  Swap 26 and -63
  List after swap: [-13, -63, 26, -2, -5, -99, 13, -45, -31]
  Compare 26 and -2
  Swap 26 and -2
  List after swap: [-13, -63, -2, 26, -5, -99, 13, -45, -31]
  Compare 26 and -5
  Swap 26 and -5
  List after swap: [-13, -63, -2, -5, 26, -99, 13, -45, -31]
  Compare 26 and -99
  Swap 26 and -99
  List after swap: [-13, -63, -2, -5, -99, 26, 13, -45, -31]
  Compare 26 and 13
  Swap 26 and 13
  List after swap: [-13, -63, -2, -5, -99, 13, 26, -45, -31]
  Compare 26 and -45
  Swap 26 and -45
  List after swap: [-13, -63, -2, -5, -99, 13, -45, 26, -31]
  Compare 26 and -31
  Swap 26 and -31
  List after swap: [-13, -63, -2, -5, -99, 13, -45, -31, 26]

Pass 2:
  Compare -13 and -63
  Swap -13 and -63
  List after swap: [-63, -13, -2, -5, -99, 13, -45, -31, 26]
  Compare -13 and -2
  No swap needed
  Compare -2 and -5
  Swap -2 and -5
  List after swap: [-63, -13, -5, -2, -99, 13, -45, -31, 26]
  Compare -2 and -99
  Swap -2 and -99
  List after swap: [-63, -13, -5, -99, -2, 13, -45, -31, 26]
  Compare -2 and 13
  No swap needed
  Compare 13 and -45
  Swap 13 and -45
  List after swap: [-63, -13, -5, -99, -2, -45, 13, -31, 26]
  Compare 13 and -31
  Swap 13 and -31
  List after swap: [-63, -13, -5, -99, -2, -45, -31, 13, 26]

Pass 3:
  Compare -63 and -13
  No swap needed
  Compare -13 and -5
  No swap needed
  Compare -5 and -99
  Swap -5 and -99
  List after swap: [-63, -13, -99, -5, -2, -45, -31, 13, 26]
  Compare -5 and -2
  No swap needed
  Compare -2 and -45
  Swap -2 and -45
  List after swap: [-63, -13, -99, -5, -45, -2, -31, 13, 26]
  Compare -2 and -31
  Swap -2 and -31
  List after swap: [-63, -13, -99, -5, -45, -31, -2, 13, 26]

Pass 4:
  Compare -63 and -13
  No swap needed
  Compare -13 and -99
  Swap -13 and -99
  List after swap: [-63, -99, -13, -5, -45, -31, -2, 13, 26]
  Compare -13 and -5
  No swap needed
  Compare -5 and -45
  Swap -5 and -45
  List after swap: [-63, -99, -13, -45, -5, -31, -2, 13, 26]
  Compare -5 and -31
  Swap -5 and -31
  List after swap: [-63, -99, -13, -45, -31, -5, -2, 13, 26]

Pass 5:
  Compare -63 and -99
  Swap -63 and -99
  List after swap: [-99, -63, -13, -45, -31, -5, -2, 13, 26]
  Compare -63 and -13
  No swap needed
  Compare -13 and -45
  Swap -13 and -45
  List after swap: [-99, -63, -45, -13, -31, -5, -2, 13, 26]
  Compare -13 and -31
  Swap -13 and -31
  List after swap: [-99, -63, -45, -31, -13, -5, -2, 13, 26]

Pass 6:
  Compare -99 and -63
  No swap needed
  Compare -63 and -45
  No swap needed
  Compare -45 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -63, -45, -31, -13, -5, -2, 13, 26]
</think>

<response>-99, -63, -45, -31, -13, -5, -2, 13, 26</response>


input: Sort the list 24, 6, 85, 81 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [24, 6, 85, 81]

Pass 1:
  Compare 24 and 6
  Swap 24 and 6
  List after swap: [6, 24, 85, 81]
  Compare 24 and 85
  No swap needed
  Compare 85 and 81
  Swap 85 and 81
  List after swap: [6, 24, 81, 85]

Pass 2:
  Compare 6 and 24
  No swap needed
  Compare 24 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [6, 24, 81, 85]
</think>

<response>6, 24, 81, 85</response>


input: Using the bubble sort method, sort -65, 77, 67, -53, -27, -38, 18 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-65, 77, 67, -53, -27, -38, 18]

Pass 1:
  Compare -65 and 77
  No swap needed
  Compare 77 and 67
  Swap 77 and 67
  List after swap: [-65, 67, 77, -53, -27, -38, 18]
  Compare 77 and -53
  Swap 77 and -53
  List after swap: [-65, 67, -53, 77, -27, -38, 18]
  Compare 77 and -27
  Swap 77 and -27
  List after swap: [-65, 67, -53, -27, 77, -38, 18]
  Compare 77 and -38
  Swap 77 and -38
  List after swap: [-65, 67, -53, -27, -38, 77, 18]
  Compare 77 and 18
  Swap 77 and 18
  List after swap: [-65, 67, -53, -27, -38, 18, 77]

Pass 2:
  Compare -65 and 67
  No swap needed
  Compare 67 and -53
  Swap 67 and -53
  List after swap: [-65, -53, 67, -27, -38, 18, 77]
  Compare 67 and -27
  Swap 67 and -27
  List after swap: [-65, -53, -27, 67, -38, 18, 77]
  Compare 67 and -38
  Swap 67 and -38
  List after swap: [-65, -53, -27, -38, 67, 18, 77]
  Compare 67 and 18
  Swap 67 and 18
  List after swap: [-65, -53, -27, -38, 18, 67, 77]

Pass 3:
  Compare -65 and -53
  No swap needed
  Compare -53 and -27
  No swap needed
  Compare -27 and -38
  Swap -27 and -38
  List after swap: [-65, -53, -38, -27, 18, 67, 77]
  Compare -27 and 18
  No swap needed

Pass 4:
  Compare -65 and -53
  No swap needed
  Compare -53 and -38
  No swap needed
  Compare -38 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -53, -38, -27, 18, 67, 77]
</think>

<response>-65, -53, -38, -27, 18, 67, 77</response>


input: Carry out the bubble sort algorithm on 57, -40, 70, -53, 27 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [57, -40, 70, -53, 27]

Pass 1:
  Compare 57 and -40
  Swap 57 and -40
  List after swap: [-40, 57, 70, -53, 27]
  Compare 57 and 70
  No swap needed
  Compare 70 and -53
  Swap 70 and -53
  List after swap: [-40, 57, -53, 70, 27]
  Compare 70 and 27
  Swap 70 and 27
  List after swap: [-40, 57, -53, 27, 70]

Pass 2:
  Compare -40 and 57
  No swap needed
  Compare 57 and -53
  Swap 57 and -53
  List after swap: [-40, -53, 57, 27, 70]
  Compare 57 and 27
  Swap 57 and 27
  List after swap: [-40, -53, 27, 57, 70]

Pass 3:
  Compare -40 and -53
  Swap -40 and -53
  List after swap: [-53, -40, 27, 57, 70]
  Compare -40 and 27
  No swap needed

Pass 4:
  Compare -53 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -40, 27, 57, 70]
</think>

<response>-53, -40, 27, 57, 70</response>


input: Implement bubble sort on 14, 0, 23, -61, -81, -65, 21 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [14, 0, 23, -61, -81, -65, 21]

Pass 1:
  Compare 14 and 0
  Swap 14 and 0
  List after swap: [0, 14, 23, -61, -81, -65, 21]
  Compare 14 and 23
  No swap needed
  Compare 23 and -61
  Swap 23 and -61
  List after swap: [0, 14, -61, 23, -81, -65, 21]
  Compare 23 and -81
  Swap 23 and -81
  List after swap: [0, 14, -61, -81, 23, -65, 21]
  Compare 23 and -65
  Swap 23 and -65
  List after swap: [0, 14, -61, -81, -65, 23, 21]
  Compare 23 and 21
  Swap 23 and 21
  List after swap: [0, 14, -61, -81, -65, 21, 23]

Pass 2:
  Compare 0 and 14
  No swap needed
  Compare 14 and -61
  Swap 14 and -61
  List after swap: [0, -61, 14, -81, -65, 21, 23]
  Compare 14 and -81
  Swap 14 and -81
  List after swap: [0, -61, -81, 14, -65, 21, 23]
  Compare 14 and -65
  Swap 14 and -65
  List after swap: [0, -61, -81, -65, 14, 21, 23]
  Compare 14 and 21
  No swap needed

Pass 3:
  Compare 0 and -61
  Swap 0 and -61
  List after swap: [-61, 0, -81, -65, 14, 21, 23]
  Compare 0 and -81
  Swap 0 and -81
  List after swap: [-61, -81, 0, -65, 14, 21, 23]
  Compare 0 and -65
  Swap 0 and -65
  List after swap: [-61, -81, -65, 0, 14, 21, 23]
  Compare 0 and 14
  No swap needed

Pass 4:
  Compare -61 and -81
  Swap -61 and -81
  List after swap: [-81, -61, -65, 0, 14, 21, 23]
  Compare -61 and -65
  Swap -61 and -65
  List after swap: [-81, -65, -61, 0, 14, 21, 23]
  Compare -61 and 0
  No swap needed

Pass 5:
  Compare -81 and -65
  No swap needed
  Compare -65 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -65, -61, 0, 14, 21, 23]
</think>

<response>-81, -65, -61, 0, 14, 21, 23</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 70, -26.

output:
<think>
Initial list: [70, -26]

Pass 1:
  Compare 70 and -26
  Swap 70 and -26
  List after swap: [-26, 70]

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

Final sorted list: [-26, 70]
</think>

<response>-26, 70</response>


input: Execute bubble sort to sort -84, -18, -67, -36, -94, 0, 29, -53, -48, -66 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-84, -18, -67, -36, -94, 0, 29, -53, -48, -66]

Pass 1:
  Compare -84 and -18
  No swap needed
  Compare -18 and -67
  Swap -18 and -67
  List after swap: [-84, -67, -18, -36, -94, 0, 29, -53, -48, -66]
  Compare -18 and -36
  Swap -18 and -36
  List after swap: [-84, -67, -36, -18, -94, 0, 29, -53, -48, -66]
  Compare -18 and -94
  Swap -18 and -94
  List after swap: [-84, -67, -36, -94, -18, 0, 29, -53, -48, -66]
  Compare -18 and 0
  No swap needed
  Compare 0 and 29
  No swap needed
  Compare 29 and -53
  Swap 29 and -53
  List after swap: [-84, -67, -36, -94, -18, 0, -53, 29, -48, -66]
  Compare 29 and -48
  Swap 29 and -48
  List after swap: [-84, -67, -36, -94, -18, 0, -53, -48, 29, -66]
  Compare 29 and -66
  Swap 29 and -66
  List after swap: [-84, -67, -36, -94, -18, 0, -53, -48, -66, 29]

Pass 2:
  Compare -84 and -67
  No swap needed
  Compare -67 and -36
  No swap needed
  Compare -36 and -94
  Swap -36 and -94
  List after swap: [-84, -67, -94, -36, -18, 0, -53, -48, -66, 29]
  Compare -36 and -18
  No swap needed
  Compare -18 and 0
  No swap needed
  Compare 0 and -53
  Swap 0 and -53
  List after swap: [-84, -67, -94, -36, -18, -53, 0, -48, -66, 29]
  Compare 0 and -48
  Swap 0 and -48
  List after swap: [-84, -67, -94, -36, -18, -53, -48, 0, -66, 29]
  Compare 0 and -66
  Swap 0 and -66
  List after swap: [-84, -67, -94, -36, -18, -53, -48, -66, 0, 29]

Pass 3:
  Compare -84 and -67
  No swap needed
  Compare -67 and -94
  Swap -67 and -94
  List after swap: [-84, -94, -67, -36, -18, -53, -48, -66, 0, 29]
  Compare -67 and -36
  No swap needed
  Compare -36 and -18
  No swap needed
  Compare -18 and -53
  Swap -18 and -53
  List after swap: [-84, -94, -67, -36, -53, -18, -48, -66, 0, 29]
  Compare -18 and -48
  Swap -18 and -48
  List after swap: [-84, -94, -67, -36, -53, -48, -18, -66, 0, 29]
  Compare -18 and -66
  Swap -18 and -66
  List after swap: [-84, -94, -67, -36, -53, -48, -66, -18, 0, 29]

Pass 4:
  Compare -84 and -94
  Swap -84 and -94
  List after swap: [-94, -84, -67, -36, -53, -48, -66, -18, 0, 29]
  Compare -84 and -67
  No swap needed
  Compare -67 and -36
  No swap needed
  Compare -36 and -53
  Swap -36 and -53
  List after swap: [-94, -84, -67, -53, -36, -48, -66, -18, 0, 29]
  Compare -36 and -48
  Swap -36 and -48
  List after swap: [-94, -84, -67, -53, -48, -36, -66, -18, 0, 29]
  Compare -36 and -66
  Swap -36 and -66
  List after swap: [-94, -84, -67, -53, -48, -66, -36, -18, 0, 29]

Pass 5:
  Compare -94 and -84
  No swap needed
  Compare -84 and -67
  No swap needed
  Compare -67 and -53
  No swap needed
  Compare -53 and -48
  No swap needed
  Compare -48 and -66
  Swap -48 and -66
  List after swap: [-94, -84, -67, -53, -66, -48, -36, -18, 0, 29]

Pass 6:
  Compare -94 and -84
  No swap needed
  Compare -84 and -67
  No swap needed
  Compare -67 and -53
  No swap needed
  Compare -53 and -66
  Swap -53 and -66
  List after swap: [-94, -84, -67, -66, -53, -48, -36, -18, 0, 29]

Pass 7:
  Compare -94 and -84
  No swap needed
  Compare -84 and -67
  No swap needed
  Compare -67 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -84, -67, -66, -53, -48, -36, -18, 0, 29]
</think>

<response>-94, -84, -67, -66, -53, -48, -36, -18, 0, 29</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 19, 4, -51, -77, -41, -98, -4, 84, 58.

output:
<think>
Initial list: [19, 4, -51, -77, -41, -98, -4, 84, 58]

Pass 1:
  Compare 19 and 4
  Swap 19 and 4
  List after swap: [4, 19, -51, -77, -41, -98, -4, 84, 58]
  Compare 19 and -51
  Swap 19 and -51
  List after swap: [4, -51, 19, -77, -41, -98, -4, 84, 58]
  Compare 19 and -77
  Swap 19 and -77
  List after swap: [4, -51, -77, 19, -41, -98, -4, 84, 58]
  Compare 19 and -41
  Swap 19 and -41
  List after swap: [4, -51, -77, -41, 19, -98, -4, 84, 58]
  Compare 19 and -98
  Swap 19 and -98
  List after swap: [4, -51, -77, -41, -98, 19, -4, 84, 58]
  Compare 19 and -4
  Swap 19 and -4
  List after swap: [4, -51, -77, -41, -98, -4, 19, 84, 58]
  Compare 19 and 84
  No swap needed
  Compare 84 and 58
  Swap 84 and 58
  List after swap: [4, -51, -77, -41, -98, -4, 19, 58, 84]

Pass 2:
  Compare 4 and -51
  Swap 4 and -51
  List after swap: [-51, 4, -77, -41, -98, -4, 19, 58, 84]
  Compare 4 and -77
  Swap 4 and -77
  List after swap: [-51, -77, 4, -41, -98, -4, 19, 58, 84]
  Compare 4 and -41
  Swap 4 and -41
  List after swap: [-51, -77, -41, 4, -98, -4, 19, 58, 84]
  Compare 4 and -98
  Swap 4 and -98
  List after swap: [-51, -77, -41, -98, 4, -4, 19, 58, 84]
  Compare 4 and -4
  Swap 4 and -4
  List after swap: [-51, -77, -41, -98, -4, 4, 19, 58, 84]
  Compare 4 and 19
  No swap needed
  Compare 19 and 58
  No swap needed

Pass 3:
  Compare -51 and -77
  Swap -51 and -77
  List after swap: [-77, -51, -41, -98, -4, 4, 19, 58, 84]
  Compare -51 and -41
  No swap needed
  Compare -41 and -98
  Swap -41 and -98
  List after swap: [-77, -51, -98, -41, -4, 4, 19, 58, 84]
  Compare -41 and -4
  No swap needed
  Compare -4 and 4
  No swap needed
  Compare 4 and 19
  No swap needed

Pass 4:
  Compare -77 and -51
  No swap needed
  Compare -51 and -98
  Swap -51 and -98
  List after swap: [-77, -98, -51, -41, -4, 4, 19, 58, 84]
  Compare -51 and -41
  No swap needed
  Compare -41 and -4
  No swap needed
  Compare -4 and 4
  No swap needed

Pass 5:
  Compare -77 and -98
  Swap -77 and -98
  List after swap: [-98, -77, -51, -41, -4, 4, 19, 58, 84]
  Compare -77 and -51
  No swap needed
  Compare -51 and -41
  No swap needed
  Compare -41 and -4
  No swap needed

Pass 6:
  Compare -98 and -77
  No swap needed
  Compare -77 and -51
  No swap needed
  Compare -51 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -77, -51, -41, -4, 4, 19, 58, 84]
</think>

<response>-98, -77, -51, -41, -4, 4, 19, 58, 84</response>


input: Demonstrate how bubble sort orders the integers 28, -19, -91, 52 in ascending sequence, showing all steps.

output:
<think>
Initial list: [28, -19, -91, 52]

Pass 1:
  Compare 28 and -19
  Swap 28 and -19
  List after swap: [-19, 28, -91, 52]
  Compare 28 and -91
  Swap 28 and -91
  List after swap: [-19, -91, 28, 52]
  Compare 28 and 52
  No swap needed

Pass 2:
  Compare -19 and -91
  Swap -19 and -91
  List after swap: [-91, -19, 28, 52]
  Compare -19 and 28
  No swap needed

Pass 3:
  Compare -91 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -19, 28, 52]
</think>

<response>-91, -19, 28, 52</response>


input: Sort these integers -90, 71, -24, 50, 73, -77 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-90, 71, -24, 50, 73, -77]

Pass 1:
  Compare -90 and 71
  No swap needed
  Compare 71 and -24
  Swap 71 and -24
  List after swap: [-90, -24, 71, 50, 73, -77]
  Compare 71 and 50
  Swap 71 and 50
  List after swap: [-90, -24, 50, 71, 73, -77]
  Compare 71 and 73
  No swap needed
  Compare 73 and -77
  Swap 73 and -77
  List after swap: [-90, -24, 50, 71, -77, 73]

Pass 2:
  Compare -90 and -24
  No swap needed
  Compare -24 and 50
  No swap needed
  Compare 50 and 71
  No swap needed
  Compare 71 and -77
  Swap 71 and -77
  List after swap: [-90, -24, 50, -77, 71, 73]

Pass 3:
  Compare -90 and -24
  No swap needed
  Compare -24 and 50
  No swap needed
  Compare 50 and -77
  Swap 50 and -77
  List after swap: [-90, -24, -77, 50, 71, 73]

Pass 4:
  Compare -90 and -24
  No swap needed
  Compare -24 and -77
  Swap -24 and -77
  List after swap: [-90, -77, -24, 50, 71, 73]

Pass 5:
  Compare -90 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -77, -24, 50, 71, 73]
</think>

<response>-90, -77, -24, 50, 71, 73</response>


input: Demonstrate how bubble sort orders the integers 79, -100, 35 in ascending sequence, showing all steps.

output:
<think>
Initial list: [79, -100, 35]

Pass 1:
  Compare 79 and -100
  Swap 79 and -100
  List after swap: [-100, 79, 35]
  Compare 79 and 35
  Swap 79 and 35
  List after swap: [-100, 35, 79]

Pass 2:
  Compare -100 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, 35, 79]
</think>

<response>-100, 35, 79</response>


input: Arrange the numbers 60, 97, -28, 39, -33, -21, 45, -66 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [60, 97, -28, 39, -33, -21, 45, -66]

Pass 1:
  Compare 60 and 97
  No swap needed
  Compare 97 and -28
  Swap 97 and -28
  List after swap: [60, -28, 97, 39, -33, -21, 45, -66]
  Compare 97 and 39
  Swap 97 and 39
  List after swap: [60, -28, 39, 97, -33, -21, 45, -66]
  Compare 97 and -33
  Swap 97 and -33
  List after swap: [60, -28, 39, -33, 97, -21, 45, -66]
  Compare 97 and -21
  Swap 97 and -21
  List after swap: [60, -28, 39, -33, -21, 97, 45, -66]
  Compare 97 and 45
  Swap 97 and 45
  List after swap: [60, -28, 39, -33, -21, 45, 97, -66]
  Compare 97 and -66
  Swap 97 and -66
  List after swap: [60, -28, 39, -33, -21, 45, -66, 97]

Pass 2:
  Compare 60 and -28
  Swap 60 and -28
  List after swap: [-28, 60, 39, -33, -21, 45, -66, 97]
  Compare 60 and 39
  Swap 60 and 39
  List after swap: [-28, 39, 60, -33, -21, 45, -66, 97]
  Compare 60 and -33
  Swap 60 and -33
  List after swap: [-28, 39, -33, 60, -21, 45, -66, 97]
  Compare 60 and -21
  Swap 60 and -21
  List after swap: [-28, 39, -33, -21, 60, 45, -66, 97]
  Compare 60 and 45
  Swap 60 and 45
  List after swap: [-28, 39, -33, -21, 45, 60, -66, 97]
  Compare 60 and -66
  Swap 60 and -66
  List after swap: [-28, 39, -33, -21, 45, -66, 60, 97]

Pass 3:
  Compare -28 and 39
  No swap needed
  Compare 39 and -33
  Swap 39 and -33
  List after swap: [-28, -33, 39, -21, 45, -66, 60, 97]
  Compare 39 and -21
  Swap 39 and -21
  List after swap: [-28, -33, -21, 39, 45, -66, 60, 97]
  Compare 39 and 45
  No swap needed
  Compare 45 and -66
  Swap 45 and -66
  List after swap: [-28, -33, -21, 39, -66, 45, 60, 97]

Pass 4:
  Compare -28 and -33
  Swap -28 and -33
  List after swap: [-33, -28, -21, 39, -66, 45, 60, 97]
  Compare -28 and -21
  No swap needed
  Compare -21 and 39
  No swap needed
  Compare 39 and -66
  Swap 39 and -66
  List after swap: [-33, -28, -21, -66, 39, 45, 60, 97]

Pass 5:
  Compare -33 and -28
  No swap needed
  Compare -28 and -21
  No swap needed
  Compare -21 and -66
  Swap -21 and -66
  List after swap: [-33, -28, -66, -21, 39, 45, 60, 97]

Pass 6:
  Compare -33 and -28
  No swap needed
  Compare -28 and -66
  Swap -28 and -66
  List after swap: [-33, -66, -28, -21, 39, 45, 60, 97]

Pass 7:
  Compare -33 and -66
  Swap -33 and -66
  List after swap: [-66, -33, -28, -21, 39, 45, 60, 97]

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

Final sorted list: [-66, -33, -28, -21, 39, 45, 60, 97]
</think>

<response>-66, -33, -28, -21, 39, 45, 60, 97</response>


input: Demonstrate how bubble sort orders the integers 46, -40, 22, 3, -15 in ascending sequence, showing all steps.

output:
<think>
Initial list: [46, -40, 22, 3, -15]

Pass 1:
  Compare 46 and -40
  Swap 46 and -40
  List after swap: [-40, 46, 22, 3, -15]
  Compare 46 and 22
  Swap 46 and 22
  List after swap: [-40, 22, 46, 3, -15]
  Compare 46 and 3
  Swap 46 and 3
  List after swap: [-40, 22, 3, 46, -15]
  Compare 46 and -15
  Swap 46 and -15
  List after swap: [-40, 22, 3, -15, 46]

Pass 2:
  Compare -40 and 22
  No swap needed
  Compare 22 and 3
  Swap 22 and 3
  List after swap: [-40, 3, 22, -15, 46]
  Compare 22 and -15
  Swap 22 and -15
  List after swap: [-40, 3, -15, 22, 46]

Pass 3:
  Compare -40 and 3
  No swap needed
  Compare 3 and -15
  Swap 3 and -15
  List after swap: [-40, -15, 3, 22, 46]

Pass 4:
  Compare -40 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -15, 3, 22, 46]
</think>

<response>-40, -15, 3, 22, 46</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 99, -32, -5, 14, 63, -39, -36, 49, -99, 64.

output:
<think>
Initial list: [99, -32, -5, 14, 63, -39, -36, 49, -99, 64]

Pass 1:
  Compare 99 and -32
  Swap 99 and -32
  List after swap: [-32, 99, -5, 14, 63, -39, -36, 49, -99, 64]
  Compare 99 and -5
  Swap 99 and -5
  List after swap: [-32, -5, 99, 14, 63, -39, -36, 49, -99, 64]
  Compare 99 and 14
  Swap 99 and 14
  List after swap: [-32, -5, 14, 99, 63, -39, -36, 49, -99, 64]
  Compare 99 and 63
  Swap 99 and 63
  List after swap: [-32, -5, 14, 63, 99, -39, -36, 49, -99, 64]
  Compare 99 and -39
  Swap 99 and -39
  List after swap: [-32, -5, 14, 63, -39, 99, -36, 49, -99, 64]
  Compare 99 and -36
  Swap 99 and -36
  List after swap: [-32, -5, 14, 63, -39, -36, 99, 49, -99, 64]
  Compare 99 and 49
  Swap 99 and 49
  List after swap: [-32, -5, 14, 63, -39, -36, 49, 99, -99, 64]
  Compare 99 and -99
  Swap 99 and -99
  List after swap: [-32, -5, 14, 63, -39, -36, 49, -99, 99, 64]
  Compare 99 and 64
  Swap 99 and 64
  List after swap: [-32, -5, 14, 63, -39, -36, 49, -99, 64, 99]

Pass 2:
  Compare -32 and -5
  No swap needed
  Compare -5 and 14
  No swap needed
  Compare 14 and 63
  No swap needed
  Compare 63 and -39
  Swap 63 and -39
  List after swap: [-32, -5, 14, -39, 63, -36, 49, -99, 64, 99]
  Compare 63 and -36
  Swap 63 and -36
  List after swap: [-32, -5, 14, -39, -36, 63, 49, -99, 64, 99]
  Compare 63 and 49
  Swap 63 and 49
  List after swap: [-32, -5, 14, -39, -36, 49, 63, -99, 64, 99]
  Compare 63 and -99
  Swap 63 and -99
  List after swap: [-32, -5, 14, -39, -36, 49, -99, 63, 64, 99]
  Compare 63 and 64
  No swap needed

Pass 3:
  Compare -32 and -5
  No swap needed
  Compare -5 and 14
  No swap needed
  Compare 14 and -39
  Swap 14 and -39
  List after swap: [-32, -5, -39, 14, -36, 49, -99, 63, 64, 99]
  Compare 14 and -36
  Swap 14 and -36
  List after swap: [-32, -5, -39, -36, 14, 49, -99, 63, 64, 99]
  Compare 14 and 49
  No swap needed
  Compare 49 and -99
  Swap 49 and -99
  List after swap: [-32, -5, -39, -36, 14, -99, 49, 63, 64, 99]
  Compare 49 and 63
  No swap needed

Pass 4:
  Compare -32 and -5
  No swap needed
  Compare -5 and -39
  Swap -5 and -39
  List after swap: [-32, -39, -5, -36, 14, -99, 49, 63, 64, 99]
  Compare -5 and -36
  Swap -5 and -36
  List after swap: [-32, -39, -36, -5, 14, -99, 49, 63, 64, 99]
  Compare -5 and 14
  No swap needed
  Compare 14 and -99
  Swap 14 and -99
  List after swap: [-32, -39, -36, -5, -99, 14, 49, 63, 64, 99]
  Compare 14 and 49
  No swap needed

Pass 5:
  Compare -32 and -39
  Swap -32 and -39
  List after swap: [-39, -32, -36, -5, -99, 14, 49, 63, 64, 99]
  Compare -32 and -36
  Swap -32 and -36
  List after swap: [-39, -36, -32, -5, -99, 14, 49, 63, 64, 99]
  Compare -32 and -5
  No swap needed
  Compare -5 and -99
  Swap -5 and -99
  List after swap: [-39, -36, -32, -99, -5, 14, 49, 63, 64, 99]
  Compare -5 and 14
  No swap needed

Pass 6:
  Compare -39 and -36
  No swap needed
  Compare -36 and -32
  No swap needed
  Compare -32 and -99
  Swap -32 and -99
  List after swap: [-39, -36, -99, -32, -5, 14, 49, 63, 64, 99]
  Compare -32 and -5
  No swap needed

Pass 7:
  Compare -39 and -36
  No swap needed
  Compare -36 and -99
  Swap -36 and -99
  List after swap: [-39, -99, -36, -32, -5, 14, 49, 63, 64, 99]
  Compare -36 and -32
  No swap needed

Pass 8:
  Compare -39 and -99
  Swap -39 and -99
  List after swap: [-99, -39, -36, -32, -5, 14, 49, 63, 64, 99]
  Compare -39 and -36
  No swap needed

Pass 9:
  Compare -99 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -39, -36, -32, -5, 14, 49, 63, 64, 99]
</think>

<response>-99, -39, -36, -32, -5, 14, 49, 63, 64, 99</response>


input: Use the bubble sort technique to reorder -73, -66, -17, -33, 95 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-73, -66, -17, -33, 95]

Pass 1:
  Compare -73 and -66
  No swap needed
  Compare -66 and -17
  No swap needed
  Compare -17 and -33
  Swap -17 and -33
  List after swap: [-73, -66, -33, -17, 95]
  Compare -17 and 95
  No swap needed

Pass 2:
  Compare -73 and -66
  No swap needed
  Compare -66 and -33
  No swap needed
  Compare -33 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -66, -33, -17, 95]
</think>

<response>-73, -66, -33, -17, 95</response>


input: Carry out the bubble sort algorithm on -13, 25, -31, 10, 61, -16 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-13, 25, -31, 10, 61, -16]

Pass 1:
  Compare -13 and 25
  No swap needed
  Compare 25 and -31
  Swap 25 and -31
  List after swap: [-13, -31, 25, 10, 61, -16]
  Compare 25 and 10
  Swap 25 and 10
  List after swap: [-13, -31, 10, 25, 61, -16]
  Compare 25 and 61
  No swap needed
  Compare 61 and -16
  Swap 61 and -16
  List after swap: [-13, -31, 10, 25, -16, 61]

Pass 2:
  Compare -13 and -31
  Swap -13 and -31
  List after swap: [-31, -13, 10, 25, -16, 61]
  Compare -13 and 10
  No swap needed
  Compare 10 and 25
  No swap needed
  Compare 25 and -16
  Swap 25 and -16
  List after swap: [-31, -13, 10, -16, 25, 61]

Pass 3:
  Compare -31 and -13
  No swap needed
  Compare -13 and 10
  No swap needed
  Compare 10 and -16
  Swap 10 and -16
  List after swap: [-31, -13, -16, 10, 25, 61]

Pass 4:
  Compare -31 and -13
  No swap needed
  Compare -13 and -16
  Swap -13 and -16
  List after swap: [-31, -16, -13, 10, 25, 61]

Pass 5:
  Compare -31 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -16, -13, 10, 25, 61]
</think>

<response>-31, -16, -13, 10, 25, 61</response>


input: Carry out the bubble sort algorithm on -91, 98, -24, -23, 22, 91, 52, 77, 42 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-91, 98, -24, -23, 22, 91, 52, 77, 42]

Pass 1:
  Compare -91 and 98
  No swap needed
  Compare 98 and -24
  Swap 98 and -24
  List after swap: [-91, -24, 98, -23, 22, 91, 52, 77, 42]
  Compare 98 and -23
  Swap 98 and -23
  List after swap: [-91, -24, -23, 98, 22, 91, 52, 77, 42]
  Compare 98 and 22
  Swap 98 and 22
  List after swap: [-91, -24, -23, 22, 98, 91, 52, 77, 42]
  Compare 98 and 91
  Swap 98 and 91
  List after swap: [-91, -24, -23, 22, 91, 98, 52, 77, 42]
  Compare 98 and 52
  Swap 98 and 52
  List after swap: [-91, -24, -23, 22, 91, 52, 98, 77, 42]
  Compare 98 and 77
  Swap 98 and 77
  List after swap: [-91, -24, -23, 22, 91, 52, 77, 98, 42]
  Compare 98 and 42
  Swap 98 and 42
  List after swap: [-91, -24, -23, 22, 91, 52, 77, 42, 98]

Pass 2:
  Compare -91 and -24
  No swap needed
  Compare -24 and -23
  No swap needed
  Compare -23 and 22
  No swap needed
  Compare 22 and 91
  No swap needed
  Compare 91 and 52
  Swap 91 and 52
  List after swap: [-91, -24, -23, 22, 52, 91, 77, 42, 98]
  Compare 91 and 77
  Swap 91 and 77
  List after swap: [-91, -24, -23, 22, 52, 77, 91, 42, 98]
  Compare 91 and 42
  Swap 91 and 42
  List after swap: [-91, -24, -23, 22, 52, 77, 42, 91, 98]

Pass 3:
  Compare -91 and -24
  No swap needed
  Compare -24 and -23
  No swap needed
  Compare -23 and 22
  No swap needed
  Compare 22 and 52
  No swap needed
  Compare 52 and 77
  No swap needed
  Compare 77 and 42
  Swap 77 and 42
  List after swap: [-91, -24, -23, 22, 52, 42, 77, 91, 98]

Pass 4:
  Compare -91 and -24
  No swap needed
  Compare -24 and -23
  No swap needed
  Compare -23 and 22
  No swap needed
  Compare 22 and 52
  No swap needed
  Compare 52 and 42
  Swap 52 and 42
  List after swap: [-91, -24, -23, 22, 42, 52, 77, 91, 98]

Pass 5:
  Compare -91 and -24
  No swap needed
  Compare -24 and -23
  No swap needed
  Compare -23 and 22
  No swap needed
  Compare 22 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -24, -23, 22, 42, 52, 77, 91, 98]
</think>

<response>-91, -24, -23, 22, 42, 52, 77, 91, 98</response>


input: Arrange the numbers 70, 11 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [70, 11]

Pass 1:
  Compare 70 and 11
  Swap 70 and 11
  List after swap: [11, 70]

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

Final sorted list: [11, 70]
</think>

<response>11, 70</response>


input: Demonstrate how bubble sort orders the integers -52, 90, 65, -88, 83, -67 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-52, 90, 65, -88, 83, -67]

Pass 1:
  Compare -52 and 90
  No swap needed
  Compare 90 and 65
  Swap 90 and 65
  List after swap: [-52, 65, 90, -88, 83, -67]
  Compare 90 and -88
  Swap 90 and -88
  List after swap: [-52, 65, -88, 90, 83, -67]
  Compare 90 and 83
  Swap 90 and 83
  List after swap: [-52, 65, -88, 83, 90, -67]
  Compare 90 and -67
  Swap 90 and -67
  List after swap: [-52, 65, -88, 83, -67, 90]

Pass 2:
  Compare -52 and 65
  No swap needed
  Compare 65 and -88
  Swap 65 and -88
  List after swap: [-52, -88, 65, 83, -67, 90]
  Compare 65 and 83
  No swap needed
  Compare 83 and -67
  Swap 83 and -67
  List after swap: [-52, -88, 65, -67, 83, 90]

Pass 3:
  Compare -52 and -88
  Swap -52 and -88
  List after swap: [-88, -52, 65, -67, 83, 90]
  Compare -52 and 65
  No swap needed
  Compare 65 and -67
  Swap 65 and -67
  List after swap: [-88, -52, -67, 65, 83, 90]

Pass 4:
  Compare -88 and -52
  No swap needed
  Compare -52 and -67
  Swap -52 and -67
  List after swap: [-88, -67, -52, 65, 83, 90]

Pass 5:
  Compare -88 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -67, -52, 65, 83, 90]
</think>

<response>-88, -67, -52, 65, 83, 90</response>


input: Carry out the bubble sort algorithm on 91, 73 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [91, 73]

Pass 1:
  Compare 91 and 73
  Swap 91 and 73
  List after swap: [73, 91]

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

Final sorted list: [73, 91]
</think>

<response>73, 91</response>


input: Implement bubble sort on 97, -62, 41, 4, 22, 40, 26, 92, -36 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [97, -62, 41, 4, 22, 40, 26, 92, -36]

Pass 1:
  Compare 97 and -62
  Swap 97 and -62
  List after swap: [-62, 97, 41, 4, 22, 40, 26, 92, -36]
  Compare 97 and 41
  Swap 97 and 41
  List after swap: [-62, 41, 97, 4, 22, 40, 26, 92, -36]
  Compare 97 and 4
  Swap 97 and 4
  List after swap: [-62, 41, 4, 97, 22, 40, 26, 92, -36]
  Compare 97 and 22
  Swap 97 and 22
  List after swap: [-62, 41, 4, 22, 97, 40, 26, 92, -36]
  Compare 97 and 40
  Swap 97 and 40
  List after swap: [-62, 41, 4, 22, 40, 97, 26, 92, -36]
  Compare 97 and 26
  Swap 97 and 26
  List after swap: [-62, 41, 4, 22, 40, 26, 97, 92, -36]
  Compare 97 and 92
  Swap 97 and 92
  List after swap: [-62, 41, 4, 22, 40, 26, 92, 97, -36]
  Compare 97 and -36
  Swap 97 and -36
  List after swap: [-62, 41, 4, 22, 40, 26, 92, -36, 97]

Pass 2:
  Compare -62 and 41
  No swap needed
  Compare 41 and 4
  Swap 41 and 4
  List after swap: [-62, 4, 41, 22, 40, 26, 92, -36, 97]
  Compare 41 and 22
  Swap 41 and 22
  List after swap: [-62, 4, 22, 41, 40, 26, 92, -36, 97]
  Compare 41 and 40
  Swap 41 and 40
  List after swap: [-62, 4, 22, 40, 41, 26, 92, -36, 97]
  Compare 41 and 26
  Swap 41 and 26
  List after swap: [-62, 4, 22, 40, 26, 41, 92, -36, 97]
  Compare 41 and 92
  No swap needed
  Compare 92 and -36
  Swap 92 and -36
  List after swap: [-62, 4, 22, 40, 26, 41, -36, 92, 97]

Pass 3:
  Compare -62 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and 40
  No swap needed
  Compare 40 and 26
  Swap 40 and 26
  List after swap: [-62, 4, 22, 26, 40, 41, -36, 92, 97]
  Compare 40 and 41
  No swap needed
  Compare 41 and -36
  Swap 41 and -36
  List after swap: [-62, 4, 22, 26, 40, -36, 41, 92, 97]

Pass 4:
  Compare -62 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and 26
  No swap needed
  Compare 26 and 40
  No swap needed
  Compare 40 and -36
  Swap 40 and -36
  List after swap: [-62, 4, 22, 26, -36, 40, 41, 92, 97]

Pass 5:
  Compare -62 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and 26
  No swap needed
  Compare 26 and -36
  Swap 26 and -36
  List after swap: [-62, 4, 22, -36, 26, 40, 41, 92, 97]

Pass 6:
  Compare -62 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and -36
  Swap 22 and -36
  List after swap: [-62, 4, -36, 22, 26, 40, 41, 92, 97]

Pass 7:
  Compare -62 and 4
  No swap needed
  Compare 4 and -36
  Swap 4 and -36
  List after swap: [-62, -36, 4, 22, 26, 40, 41, 92, 97]

Pass 8:
  Compare -62 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -36, 4, 22, 26, 40, 41, 92, 97]
</think>

<response>-62, -36, 4, 22, 26, 40, 41, 92, 97</response>


input: Arrange the numbers -33, -11, 82, -48, -12, -42, -40, 35 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-33, -11, 82, -48, -12, -42, -40, 35]

Pass 1:
  Compare -33 and -11
  No swap needed
  Compare -11 and 82
  No swap needed
  Compare 82 and -48
  Swap 82 and -48
  List after swap: [-33, -11, -48, 82, -12, -42, -40, 35]
  Compare 82 and -12
  Swap 82 and -12
  List after swap: [-33, -11, -48, -12, 82, -42, -40, 35]
  Compare 82 and -42
  Swap 82 and -42
  List after swap: [-33, -11, -48, -12, -42, 82, -40, 35]
  Compare 82 and -40
  Swap 82 and -40
  List after swap: [-33, -11, -48, -12, -42, -40, 82, 35]
  Compare 82 and 35
  Swap 82 and 35
  List after swap: [-33, -11, -48, -12, -42, -40, 35, 82]

Pass 2:
  Compare -33 and -11
  No swap needed
  Compare -11 and -48
  Swap -11 and -48
  List after swap: [-33, -48, -11, -12, -42, -40, 35, 82]
  Compare -11 and -12
  Swap -11 and -12
  List after swap: [-33, -48, -12, -11, -42, -40, 35, 82]
  Compare -11 and -42
  Swap -11 and -42
  List after swap: [-33, -48, -12, -42, -11, -40, 35, 82]
  Compare -11 and -40
  Swap -11 and -40
  List after swap: [-33, -48, -12, -42, -40, -11, 35, 82]
  Compare -11 and 35
  No swap needed

Pass 3:
  Compare -33 and -48
  Swap -33 and -48
  List after swap: [-48, -33, -12, -42, -40, -11, 35, 82]
  Compare -33 and -12
  No swap needed
  Compare -12 and -42
  Swap -12 and -42
  List after swap: [-48, -33, -42, -12, -40, -11, 35, 82]
  Compare -12 and -40
  Swap -12 and -40
  List after swap: [-48, -33, -42, -40, -12, -11, 35, 82]
  Compare -12 and -11
  No swap needed

Pass 4:
  Compare -48 and -33
  No swap needed
  Compare -33 and -42
  Swap -33 and -42
  List after swap: [-48, -42, -33, -40, -12, -11, 35, 82]
  Compare -33 and -40
  Swap -33 and -40
  List after swap: [-48, -42, -40, -33, -12, -11, 35, 82]
  Compare -33 and -12
  No swap needed

Pass 5:
  Compare -48 and -42
  No swap needed
  Compare -42 and -40
  No swap needed
  Compare -40 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -42, -40, -33, -12, -11, 35, 82]
</think>

<response>-48, -42, -40, -33, -12, -11, 35, 82</response>


input: Arrange the numbers 10, -26, 70, -20, 14, 39, -60, -37, -24, 82 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [10, -26, 70, -20, 14, 39, -60, -37, -24, 82]

Pass 1:
  Compare 10 and -26
  Swap 10 and -26
  List after swap: [-26, 10, 70, -20, 14, 39, -60, -37, -24, 82]
  Compare 10 and 70
  No swap needed
  Compare 70 and -20
  Swap 70 and -20
  List after swap: [-26, 10, -20, 70, 14, 39, -60, -37, -24, 82]
  Compare 70 and 14
  Swap 70 and 14
  List after swap: [-26, 10, -20, 14, 70, 39, -60, -37, -24, 82]
  Compare 70 and 39
  Swap 70 and 39
  List after swap: [-26, 10, -20, 14, 39, 70, -60, -37, -24, 82]
  Compare 70 and -60
  Swap 70 and -60
  List after swap: [-26, 10, -20, 14, 39, -60, 70, -37, -24, 82]
  Compare 70 and -37
  Swap 70 and -37
  List after swap: [-26, 10, -20, 14, 39, -60, -37, 70, -24, 82]
  Compare 70 and -24
  Swap 70 and -24
  List after swap: [-26, 10, -20, 14, 39, -60, -37, -24, 70, 82]
  Compare 70 and 82
  No swap needed

Pass 2:
  Compare -26 and 10
  No swap needed
  Compare 10 and -20
  Swap 10 and -20
  List after swap: [-26, -20, 10, 14, 39, -60, -37, -24, 70, 82]
  Compare 10 and 14
  No swap needed
  Compare 14 and 39
  No swap needed
  Compare 39 and -60
  Swap 39 and -60
  List after swap: [-26, -20, 10, 14, -60, 39, -37, -24, 70, 82]
  Compare 39 and -37
  Swap 39 and -37
  List after swap: [-26, -20, 10, 14, -60, -37, 39, -24, 70, 82]
  Compare 39 and -24
  Swap 39 and -24
  List after swap: [-26, -20, 10, 14, -60, -37, -24, 39, 70, 82]
  Compare 39 and 70
  No swap needed

Pass 3:
  Compare -26 and -20
  No swap needed
  Compare -20 and 10
  No swap needed
  Compare 10 and 14
  No swap needed
  Compare 14 and -60
  Swap 14 and -60
  List after swap: [-26, -20, 10, -60, 14, -37, -24, 39, 70, 82]
  Compare 14 and -37
  Swap 14 and -37
  List after swap: [-26, -20, 10, -60, -37, 14, -24, 39, 70, 82]
  Compare 14 and -24
  Swap 14 and -24
  List after swap: [-26, -20, 10, -60, -37, -24, 14, 39, 70, 82]
  Compare 14 and 39
  No swap needed

Pass 4:
  Compare -26 and -20
  No swap needed
  Compare -20 and 10
  No swap needed
  Compare 10 and -60
  Swap 10 and -60
  List after swap: [-26, -20, -60, 10, -37, -24, 14, 39, 70, 82]
  Compare 10 and -37
  Swap 10 and -37
  List after swap: [-26, -20, -60, -37, 10, -24, 14, 39, 70, 82]
  Compare 10 and -24
  Swap 10 and -24
  List after swap: [-26, -20, -60, -37, -24, 10, 14, 39, 70, 82]
  Compare 10 and 14
  No swap needed

Pass 5:
  Compare -26 and -20
  No swap needed
  Compare -20 and -60
  Swap -20 and -60
  List after swap: [-26, -60, -20, -37, -24, 10, 14, 39, 70, 82]
  Compare -20 and -37
  Swap -20 and -37
  List after swap: [-26, -60, -37, -20, -24, 10, 14, 39, 70, 82]
  Compare -20 and -24
  Swap -20 and -24
  List after swap: [-26, -60, -37, -24, -20, 10, 14, 39, 70, 82]
  Compare -20 and 10
  No swap needed

Pass 6:
  Compare -26 and -60
  Swap -26 and -60
  List after swap: [-60, -26, -37, -24, -20, 10, 14, 39, 70, 82]
  Compare -26 and -37
  Swap -26 and -37
  List after swap: [-60, -37, -26, -24, -20, 10, 14, 39, 70, 82]
  Compare -26 and -24
  No swap needed
  Compare -24 and -20
  No swap needed

Pass 7:
  Compare -60 and -37
  No swap needed
  Compare -37 and -26
  No swap needed
  Compare -26 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -37, -26, -24, -20, 10, 14, 39, 70, 82]
</think>

<response>-60, -37, -26, -24, -20, 10, 14, 39, 70, 82</response>


input: Demonstrate how bubble sort orders the integers 75, -37, -95, -34 in ascending sequence, showing all steps.

output:
<think>
Initial list: [75, -37, -95, -34]

Pass 1:
  Compare 75 and -37
  Swap 75 and -37
  List after swap: [-37, 75, -95, -34]
  Compare 75 and -95
  Swap 75 and -95
  List after swap: [-37, -95, 75, -34]
  Compare 75 and -34
  Swap 75 and -34
  List after swap: [-37, -95, -34, 75]

Pass 2:
  Compare -37 and -95
  Swap -37 and -95
  List after swap: [-95, -37, -34, 75]
  Compare -37 and -34
  No swap needed

Pass 3:
  Compare -95 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -37, -34, 75]
</think>

<response>-95, -37, -34, 75</response>


input: Sort these integers 30, 87, -20, 96, 62, -12, -22, 52 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [30, 87, -20, 96, 62, -12, -22, 52]

Pass 1:
  Compare 30 and 87
  No swap needed
  Compare 87 and -20
  Swap 87 and -20
  List after swap: [30, -20, 87, 96, 62, -12, -22, 52]
  Compare 87 and 96
  No swap needed
  Compare 96 and 62
  Swap 96 and 62
  List after swap: [30, -20, 87, 62, 96, -12, -22, 52]
  Compare 96 and -12
  Swap 96 and -12
  List after swap: [30, -20, 87, 62, -12, 96, -22, 52]
  Compare 96 and -22
  Swap 96 and -22
  List after swap: [30, -20, 87, 62, -12, -22, 96, 52]
  Compare 96 and 52
  Swap 96 and 52
  List after swap: [30, -20, 87, 62, -12, -22, 52, 96]

Pass 2:
  Compare 30 and -20
  Swap 30 and -20
  List after swap: [-20, 30, 87, 62, -12, -22, 52, 96]
  Compare 30 and 87
  No swap needed
  Compare 87 and 62
  Swap 87 and 62
  List after swap: [-20, 30, 62, 87, -12, -22, 52, 96]
  Compare 87 and -12
  Swap 87 and -12
  List after swap: [-20, 30, 62, -12, 87, -22, 52, 96]
  Compare 87 and -22
  Swap 87 and -22
  List after swap: [-20, 30, 62, -12, -22, 87, 52, 96]
  Compare 87 and 52
  Swap 87 and 52
  List after swap: [-20, 30, 62, -12, -22, 52, 87, 96]

Pass 3:
  Compare -20 and 30
  No swap needed
  Compare 30 and 62
  No swap needed
  Compare 62 and -12
  Swap 62 and -12
  List after swap: [-20, 30, -12, 62, -22, 52, 87, 96]
  Compare 62 and -22
  Swap 62 and -22
  List after swap: [-20, 30, -12, -22, 62, 52, 87, 96]
  Compare 62 and 52
  Swap 62 and 52
  List after swap: [-20, 30, -12, -22, 52, 62, 87, 96]

Pass 4:
  Compare -20 and 30
  No swap needed
  Compare 30 and -12
  Swap 30 and -12
  List after swap: [-20, -12, 30, -22, 52, 62, 87, 96]
  Compare 30 and -22
  Swap 30 and -22
  List after swap: [-20, -12, -22, 30, 52, 62, 87, 96]
  Compare 30 and 52
  No swap needed

Pass 5:
  Compare -20 and -12
  No swap needed
  Compare -12 and -22
  Swap -12 and -22
  List after swap: [-20, -22, -12, 30, 52, 62, 87, 96]
  Compare -12 and 30
  No swap needed

Pass 6:
  Compare -20 and -22
  Swap -20 and -22
  List after swap: [-22, -20, -12, 30, 52, 62, 87, 96]
  Compare -20 and -12
  No swap needed

Pass 7:
  Compare -22 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, -20, -12, 30, 52, 62, 87, 96]
</think>

<response>-22, -20, -12, 30, 52, 62, 87, 96</response>


input: Arrange the numbers 6, -97, 63, 92, 98, 23, 18, -22, -68 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [6, -97, 63, 92, 98, 23, 18, -22, -68]

Pass 1:
  Compare 6 and -97
  Swap 6 and -97
  List after swap: [-97, 6, 63, 92, 98, 23, 18, -22, -68]
  Compare 6 and 63
  No swap needed
  Compare 63 and 92
  No swap needed
  Compare 92 and 98
  No swap needed
  Compare 98 and 23
  Swap 98 and 23
  List after swap: [-97, 6, 63, 92, 23, 98, 18, -22, -68]
  Compare 98 and 18
  Swap 98 and 18
  List after swap: [-97, 6, 63, 92, 23, 18, 98, -22, -68]
  Compare 98 and -22
  Swap 98 and -22
  List after swap: [-97, 6, 63, 92, 23, 18, -22, 98, -68]
  Compare 98 and -68
  Swap 98 and -68
  List after swap: [-97, 6, 63, 92, 23, 18, -22, -68, 98]

Pass 2:
  Compare -97 and 6
  No swap needed
  Compare 6 and 63
  No swap needed
  Compare 63 and 92
  No swap needed
  Compare 92 and 23
  Swap 92 and 23
  List after swap: [-97, 6, 63, 23, 92, 18, -22, -68, 98]
  Compare 92 and 18
  Swap 92 and 18
  List after swap: [-97, 6, 63, 23, 18, 92, -22, -68, 98]
  Compare 92 and -22
  Swap 92 and -22
  List after swap: [-97, 6, 63, 23, 18, -22, 92, -68, 98]
  Compare 92 and -68
  Swap 92 and -68
  List after swap: [-97, 6, 63, 23, 18, -22, -68, 92, 98]

Pass 3:
  Compare -97 and 6
  No swap needed
  Compare 6 and 63
  No swap needed
  Compare 63 and 23
  Swap 63 and 23
  List after swap: [-97, 6, 23, 63, 18, -22, -68, 92, 98]
  Compare 63 and 18
  Swap 63 and 18
  List after swap: [-97, 6, 23, 18, 63, -22, -68, 92, 98]
  Compare 63 and -22
  Swap 63 and -22
  List after swap: [-97, 6, 23, 18, -22, 63, -68, 92, 98]
  Compare 63 and -68
  Swap 63 and -68
  List after swap: [-97, 6, 23, 18, -22, -68, 63, 92, 98]

Pass 4:
  Compare -97 and 6
  No swap needed
  Compare 6 and 23
  No swap needed
  Compare 23 and 18
  Swap 23 and 18
  List after swap: [-97, 6, 18, 23, -22, -68, 63, 92, 98]
  Compare 23 and -22
  Swap 23 and -22
  List after swap: [-97, 6, 18, -22, 23, -68, 63, 92, 98]
  Compare 23 and -68
  Swap 23 and -68
  List after swap: [-97, 6, 18, -22, -68, 23, 63, 92, 98]

Pass 5:
  Compare -97 and 6
  No swap needed
  Compare 6 and 18
  No swap needed
  Compare 18 and -22
  Swap 18 and -22
  List after swap: [-97, 6, -22, 18, -68, 23, 63, 92, 98]
  Compare 18 and -68
  Swap 18 and -68
  List after swap: [-97, 6, -22, -68, 18, 23, 63, 92, 98]

Pass 6:
  Compare -97 and 6
  No swap needed
  Compare 6 and -22
  Swap 6 and -22
  List after swap: [-97, -22, 6, -68, 18, 23, 63, 92, 98]
  Compare 6 and -68
  Swap 6 and -68
  List after swap: [-97, -22, -68, 6, 18, 23, 63, 92, 98]

Pass 7:
  Compare -97 and -22
  No swap needed
  Compare -22 and -68
  Swap -22 and -68
  List after swap: [-97, -68, -22, 6, 18, 23, 63, 92, 98]

Pass 8:
  Compare -97 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -68, -22, 6, 18, 23, 63, 92, 98]
</think>

<response>-97, -68, -22, 6, 18, 23, 63, 92, 98</response>


input: Arrange the numbers -53, -75, -87, 17, -60, -98 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-53, -75, -87, 17, -60, -98]

Pass 1:
  Compare -53 and -75
  Swap -53 and -75
  List after swap: [-75, -53, -87, 17, -60, -98]
  Compare -53 and -87
  Swap -53 and -87
  List after swap: [-75, -87, -53, 17, -60, -98]
  Compare -53 and 17
  No swap needed
  Compare 17 and -60
  Swap 17 and -60
  List after swap: [-75, -87, -53, -60, 17, -98]
  Compare 17 and -98
  Swap 17 and -98
  List after swap: [-75, -87, -53, -60, -98, 17]

Pass 2:
  Compare -75 and -87
  Swap -75 and -87
  List after swap: [-87, -75, -53, -60, -98, 17]
  Compare -75 and -53
  No swap needed
  Compare -53 and -60
  Swap -53 and -60
  List after swap: [-87, -75, -60, -53, -98, 17]
  Compare -53 and -98
  Swap -53 and -98
  List after swap: [-87, -75, -60, -98, -53, 17]

Pass 3:
  Compare -87 and -75
  No swap needed
  Compare -75 and -60
  No swap needed
  Compare -60 and -98
  Swap -60 and -98
  List after swap: [-87, -75, -98, -60, -53, 17]

Pass 4:
  Compare -87 and -75
  No swap needed
  Compare -75 and -98
  Swap -75 and -98
  List after swap: [-87, -98, -75, -60, -53, 17]

Pass 5:
  Compare -87 and -98
  Swap -87 and -98
  List after swap: [-98, -87, -75, -60, -53, 17]

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

Final sorted list: [-98, -87, -75, -60, -53, 17]
</think>

<response>-98, -87, -75, -60, -53, 17</response>


input: Demonstrate how bubble sort orders the integers -56, 82, 22, 32 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-56, 82, 22, 32]

Pass 1:
  Compare -56 and 82
  No swap needed
  Compare 82 and 22
  Swap 82 and 22
  List after swap: [-56, 22, 82, 32]
  Compare 82 and 32
  Swap 82 and 32
  List after swap: [-56, 22, 32, 82]

Pass 2:
  Compare -56 and 22
  No swap needed
  Compare 22 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, 22, 32, 82]
</think>

<response>-56, 22, 32, 82</response>


input: Execute bubble sort to sort 87, 53, 43, -55, -80, 5, 33, -37 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [87, 53, 43, -55, -80, 5, 33, -37]

Pass 1:
  Compare 87 and 53
  Swap 87 and 53
  List after swap: [53, 87, 43, -55, -80, 5, 33, -37]
  Compare 87 and 43
  Swap 87 and 43
  List after swap: [53, 43, 87, -55, -80, 5, 33, -37]
  Compare 87 and -55
  Swap 87 and -55
  List after swap: [53, 43, -55, 87, -80, 5, 33, -37]
  Compare 87 and -80
  Swap 87 and -80
  List after swap: [53, 43, -55, -80, 87, 5, 33, -37]
  Compare 87 and 5
  Swap 87 and 5
  List after swap: [53, 43, -55, -80, 5, 87, 33, -37]
  Compare 87 and 33
  Swap 87 and 33
  List after swap: [53, 43, -55, -80, 5, 33, 87, -37]
  Compare 87 and -37
  Swap 87 and -37
  List after swap: [53, 43, -55, -80, 5, 33, -37, 87]

Pass 2:
  Compare 53 and 43
  Swap 53 and 43
  List after swap: [43, 53, -55, -80, 5, 33, -37, 87]
  Compare 53 and -55
  Swap 53 and -55
  List after swap: [43, -55, 53, -80, 5, 33, -37, 87]
  Compare 53 and -80
  Swap 53 and -80
  List after swap: [43, -55, -80, 53, 5, 33, -37, 87]
  Compare 53 and 5
  Swap 53 and 5
  List after swap: [43, -55, -80, 5, 53, 33, -37, 87]
  Compare 53 and 33
  Swap 53 and 33
  List after swap: [43, -55, -80, 5, 33, 53, -37, 87]
  Compare 53 and -37
  Swap 53 and -37
  List after swap: [43, -55, -80, 5, 33, -37, 53, 87]

Pass 3:
  Compare 43 and -55
  Swap 43 and -55
  List after swap: [-55, 43, -80, 5, 33, -37, 53, 87]
  Compare 43 and -80
  Swap 43 and -80
  List after swap: [-55, -80, 43, 5, 33, -37, 53, 87]
  Compare 43 and 5
  Swap 43 and 5
  List after swap: [-55, -80, 5, 43, 33, -37, 53, 87]
  Compare 43 and 33
  Swap 43 and 33
  List after swap: [-55, -80, 5, 33, 43, -37, 53, 87]
  Compare 43 and -37
  Swap 43 and -37
  List after swap: [-55, -80, 5, 33, -37, 43, 53, 87]

Pass 4:
  Compare -55 and -80
  Swap -55 and -80
  List after swap: [-80, -55, 5, 33, -37, 43, 53, 87]
  Compare -55 and 5
  No swap needed
  Compare 5 and 33
  No swap needed
  Compare 33 and -37
  Swap 33 and -37
  List after swap: [-80, -55, 5, -37, 33, 43, 53, 87]

Pass 5:
  Compare -80 and -55
  No swap needed
  Compare -55 and 5
  No swap needed
  Compare 5 and -37
  Swap 5 and -37
  List after swap: [-80, -55, -37, 5, 33, 43, 53, 87]

Pass 6:
  Compare -80 and -55
  No swap needed
  Compare -55 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -55, -37, 5, 33, 43, 53, 87]
</think>

<response>-80, -55, -37, 5, 33, 43, 53, 87</response>


input: Execute bubble sort to sort -97, 60, 21, -30, 27, -87, 36, 66, -42 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-97, 60, 21, -30, 27, -87, 36, 66, -42]

Pass 1:
  Compare -97 and 60
  No swap needed
  Compare 60 and 21
  Swap 60 and 21
  List after swap: [-97, 21, 60, -30, 27, -87, 36, 66, -42]
  Compare 60 and -30
  Swap 60 and -30
  List after swap: [-97, 21, -30, 60, 27, -87, 36, 66, -42]
  Compare 60 and 27
  Swap 60 and 27
  List after swap: [-97, 21, -30, 27, 60, -87, 36, 66, -42]
  Compare 60 and -87
  Swap 60 and -87
  List after swap: [-97, 21, -30, 27, -87, 60, 36, 66, -42]
  Compare 60 and 36
  Swap 60 and 36
  List after swap: [-97, 21, -30, 27, -87, 36, 60, 66, -42]
  Compare 60 and 66
  No swap needed
  Compare 66 and -42
  Swap 66 and -42
  List after swap: [-97, 21, -30, 27, -87, 36, 60, -42, 66]

Pass 2:
  Compare -97 and 21
  No swap needed
  Compare 21 and -30
  Swap 21 and -30
  List after swap: [-97, -30, 21, 27, -87, 36, 60, -42, 66]
  Compare 21 and 27
  No swap needed
  Compare 27 and -87
  Swap 27 and -87
  List after swap: [-97, -30, 21, -87, 27, 36, 60, -42, 66]
  Compare 27 and 36
  No swap needed
  Compare 36 and 60
  No swap needed
  Compare 60 and -42
  Swap 60 and -42
  List after swap: [-97, -30, 21, -87, 27, 36, -42, 60, 66]

Pass 3:
  Compare -97 and -30
  No swap needed
  Compare -30 and 21
  No swap needed
  Compare 21 and -87
  Swap 21 and -87
  List after swap: [-97, -30, -87, 21, 27, 36, -42, 60, 66]
  Compare 21 and 27
  No swap needed
  Compare 27 and 36
  No swap needed
  Compare 36 and -42
  Swap 36 and -42
  List after swap: [-97, -30, -87, 21, 27, -42, 36, 60, 66]

Pass 4:
  Compare -97 and -30
  No swap needed
  Compare -30 and -87
  Swap -30 and -87
  List after swap: [-97, -87, -30, 21, 27, -42, 36, 60, 66]
  Compare -30 and 21
  No swap needed
  Compare 21 and 27
  No swap needed
  Compare 27 and -42
  Swap 27 and -42
  List after swap: [-97, -87, -30, 21, -42, 27, 36, 60, 66]

Pass 5:
  Compare -97 and -87
  No swap needed
  Compare -87 and -30
  No swap needed
  Compare -30 and 21
  No swap needed
  Compare 21 and -42
  Swap 21 and -42
  List after swap: [-97, -87, -30, -42, 21, 27, 36, 60, 66]

Pass 6:
  Compare -97 and -87
  No swap needed
  Compare -87 and -30
  No swap needed
  Compare -30 and -42
  Swap -30 and -42
  List after swap: [-97, -87, -42, -30, 21, 27, 36, 60, 66]

Pass 7:
  Compare -97 and -87
  No swap needed
  Compare -87 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -87, -42, -30, 21, 27, 36, 60, 66]
</think>

<response>-97, -87, -42, -30, 21, 27, 36, 60, 66</response>


input: Implement bubble sort on 60, 92, 58, 10, -46, 20, -9, 84, -95 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [60, 92, 58, 10, -46, 20, -9, 84, -95]

Pass 1:
  Compare 60 and 92
  No swap needed
  Compare 92 and 58
  Swap 92 and 58
  List after swap: [60, 58, 92, 10, -46, 20, -9, 84, -95]
  Compare 92 and 10
  Swap 92 and 10
  List after swap: [60, 58, 10, 92, -46, 20, -9, 84, -95]
  Compare 92 and -46
  Swap 92 and -46
  List after swap: [60, 58, 10, -46, 92, 20, -9, 84, -95]
  Compare 92 and 20
  Swap 92 and 20
  List after swap: [60, 58, 10, -46, 20, 92, -9, 84, -95]
  Compare 92 and -9
  Swap 92 and -9
  List after swap: [60, 58, 10, -46, 20, -9, 92, 84, -95]
  Compare 92 and 84
  Swap 92 and 84
  List after swap: [60, 58, 10, -46, 20, -9, 84, 92, -95]
  Compare 92 and -95
  Swap 92 and -95
  List after swap: [60, 58, 10, -46, 20, -9, 84, -95, 92]

Pass 2:
  Compare 60 and 58
  Swap 60 and 58
  List after swap: [58, 60, 10, -46, 20, -9, 84, -95, 92]
  Compare 60 and 10
  Swap 60 and 10
  List after swap: [58, 10, 60, -46, 20, -9, 84, -95, 92]
  Compare 60 and -46
  Swap 60 and -46
  List after swap: [58, 10, -46, 60, 20, -9, 84, -95, 92]
  Compare 60 and 20
  Swap 60 and 20
  List after swap: [58, 10, -46, 20, 60, -9, 84, -95, 92]
  Compare 60 and -9
  Swap 60 and -9
  List after swap: [58, 10, -46, 20, -9, 60, 84, -95, 92]
  Compare 60 and 84
  No swap needed
  Compare 84 and -95
  Swap 84 and -95
  List after swap: [58, 10, -46, 20, -9, 60, -95, 84, 92]

Pass 3:
  Compare 58 and 10
  Swap 58 and 10
  List after swap: [10, 58, -46, 20, -9, 60, -95, 84, 92]
  Compare 58 and -46
  Swap 58 and -46
  List after swap: [10, -46, 58, 20, -9, 60, -95, 84, 92]
  Compare 58 and 20
  Swap 58 and 20
  List after swap: [10, -46, 20, 58, -9, 60, -95, 84, 92]
  Compare 58 and -9
  Swap 58 and -9
  List after swap: [10, -46, 20, -9, 58, 60, -95, 84, 92]
  Compare 58 and 60
  No swap needed
  Compare 60 and -95
  Swap 60 and -95
  List after swap: [10, -46, 20, -9, 58, -95, 60, 84, 92]

Pass 4:
  Compare 10 and -46
  Swap 10 and -46
  List after swap: [-46, 10, 20, -9, 58, -95, 60, 84, 92]
  Compare 10 and 20
  No swap needed
  Compare 20 and -9
  Swap 20 and -9
  List after swap: [-46, 10, -9, 20, 58, -95, 60, 84, 92]
  Compare 20 and 58
  No swap needed
  Compare 58 and -95
  Swap 58 and -95
  List after swap: [-46, 10, -9, 20, -95, 58, 60, 84, 92]

Pass 5:
  Compare -46 and 10
  No swap needed
  Compare 10 and -9
  Swap 10 and -9
  List after swap: [-46, -9, 10, 20, -95, 58, 60, 84, 92]
  Compare 10 and 20
  No swap needed
  Compare 20 and -95
  Swap 20 and -95
  List after swap: [-46, -9, 10, -95, 20, 58, 60, 84, 92]

Pass 6:
  Compare -46 and -9
  No swap needed
  Compare -9 and 10
  No swap needed
  Compare 10 and -95
  Swap 10 and -95
  List after swap: [-46, -9, -95, 10, 20, 58, 60, 84, 92]

Pass 7:
  Compare -46 and -9
  No swap needed
  Compare -9 and -95
  Swap -9 and -95
  List after swap: [-46, -95, -9, 10, 20, 58, 60, 84, 92]

Pass 8:
  Compare -46 and -95
  Swap -46 and -95
  List after swap: [-95, -46, -9, 10, 20, 58, 60, 84, 92]

Pass 9:
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -46, -9, 10, 20, 58, 60, 84, 92]
</think>

<response>-95, -46, -9, 10, 20, 58, 60, 84, 92</response>


input: Demonstrate how bubble sort orders the integers 41, -56, -30, 66 in ascending sequence, showing all steps.

output:
<think>
Initial list: [41, -56, -30, 66]

Pass 1:
  Compare 41 and -56
  Swap 41 and -56
  List after swap: [-56, 41, -30, 66]
  Compare 41 and -30
  Swap 41 and -30
  List after swap: [-56, -30, 41, 66]
  Compare 41 and 66
  No swap needed

Pass 2:
  Compare -56 and -30
  No swap needed
  Compare -30 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -30, 41, 66]
</think>

<response>-56, -30, 41, 66</response>


input: Sort these integers 18, 42, -92, -23 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [18, 42, -92, -23]

Pass 1:
  Compare 18 and 42
  No swap needed
  Compare 42 and -92
  Swap 42 and -92
  List after swap: [18, -92, 42, -23]
  Compare 42 and -23
  Swap 42 and -23
  List after swap: [18, -92, -23, 42]

Pass 2:
  Compare 18 and -92
  Swap 18 and -92
  List after swap: [-92, 18, -23, 42]
  Compare 18 and -23
  Swap 18 and -23
  List after swap: [-92, -23, 18, 42]

Pass 3:
  Compare -92 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -23, 18, 42]
</think>

<response>-92, -23, 18, 42</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 15, -92, -50, 71, -34, -94, 50, 84, -33.

output:
<think>
Initial list: [15, -92, -50, 71, -34, -94, 50, 84, -33]

Pass 1:
  Compare 15 and -92
  Swap 15 and -92
  List after swap: [-92, 15, -50, 71, -34, -94, 50, 84, -33]
  Compare 15 and -50
  Swap 15 and -50
  List after swap: [-92, -50, 15, 71, -34, -94, 50, 84, -33]
  Compare 15 and 71
  No swap needed
  Compare 71 and -34
  Swap 71 and -34
  List after swap: [-92, -50, 15, -34, 71, -94, 50, 84, -33]
  Compare 71 and -94
  Swap 71 and -94
  List after swap: [-92, -50, 15, -34, -94, 71, 50, 84, -33]
  Compare 71 and 50
  Swap 71 and 50
  List after swap: [-92, -50, 15, -34, -94, 50, 71, 84, -33]
  Compare 71 and 84
  No swap needed
  Compare 84 and -33
  Swap 84 and -33
  List after swap: [-92, -50, 15, -34, -94, 50, 71, -33, 84]

Pass 2:
  Compare -92 and -50
  No swap needed
  Compare -50 and 15
  No swap needed
  Compare 15 and -34
  Swap 15 and -34
  List after swap: [-92, -50, -34, 15, -94, 50, 71, -33, 84]
  Compare 15 and -94
  Swap 15 and -94
  List after swap: [-92, -50, -34, -94, 15, 50, 71, -33, 84]
  Compare 15 and 50
  No swap needed
  Compare 50 and 71
  No swap needed
  Compare 71 and -33
  Swap 71 and -33
  List after swap: [-92, -50, -34, -94, 15, 50, -33, 71, 84]

Pass 3:
  Compare -92 and -50
  No swap needed
  Compare -50 and -34
  No swap needed
  Compare -34 and -94
  Swap -34 and -94
  List after swap: [-92, -50, -94, -34, 15, 50, -33, 71, 84]
  Compare -34 and 15
  No swap needed
  Compare 15 and 50
  No swap needed
  Compare 50 and -33
  Swap 50 and -33
  List after swap: [-92, -50, -94, -34, 15, -33, 50, 71, 84]

Pass 4:
  Compare -92 and -50
  No swap needed
  Compare -50 and -94
  Swap -50 and -94
  List after swap: [-92, -94, -50, -34, 15, -33, 50, 71, 84]
  Compare -50 and -34
  No swap needed
  Compare -34 and 15
  No swap needed
  Compare 15 and -33
  Swap 15 and -33
  List after swap: [-92, -94, -50, -34, -33, 15, 50, 71, 84]

Pass 5:
  Compare -92 and -94
  Swap -92 and -94
  List after swap: [-94, -92, -50, -34, -33, 15, 50, 71, 84]
  Compare -92 and -50
  No swap needed
  Compare -50 and -34
  No swap needed
  Compare -34 and -33
  No swap needed

Pass 6:
  Compare -94 and -92
  No swap needed
  Compare -92 and -50
  No swap needed
  Compare -50 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -92, -50, -34, -33, 15, 50, 71, 84]
</think>

<response>-94, -92, -50, -34, -33, 15, 50, 71, 84</response>


input: Arrange the numbers 98, 70, 81, -3, 7, 25, -12, 8, 49 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [98, 70, 81, -3, 7, 25, -12, 8, 49]

Pass 1:
  Compare 98 and 70
  Swap 98 and 70
  List after swap: [70, 98, 81, -3, 7, 25, -12, 8, 49]
  Compare 98 and 81
  Swap 98 and 81
  List after swap: [70, 81, 98, -3, 7, 25, -12, 8, 49]
  Compare 98 and -3
  Swap 98 and -3
  List after swap: [70, 81, -3, 98, 7, 25, -12, 8, 49]
  Compare 98 and 7
  Swap 98 and 7
  List after swap: [70, 81, -3, 7, 98, 25, -12, 8, 49]
  Compare 98 and 25
  Swap 98 and 25
  List after swap: [70, 81, -3, 7, 25, 98, -12, 8, 49]
  Compare 98 and -12
  Swap 98 and -12
  List after swap: [70, 81, -3, 7, 25, -12, 98, 8, 49]
  Compare 98 and 8
  Swap 98 and 8
  List after swap: [70, 81, -3, 7, 25, -12, 8, 98, 49]
  Compare 98 and 49
  Swap 98 and 49
  List after swap: [70, 81, -3, 7, 25, -12, 8, 49, 98]

Pass 2:
  Compare 70 and 81
  No swap needed
  Compare 81 and -3
  Swap 81 and -3
  List after swap: [70, -3, 81, 7, 25, -12, 8, 49, 98]
  Compare 81 and 7
  Swap 81 and 7
  List after swap: [70, -3, 7, 81, 25, -12, 8, 49, 98]
  Compare 81 and 25
  Swap 81 and 25
  List after swap: [70, -3, 7, 25, 81, -12, 8, 49, 98]
  Compare 81 and -12
  Swap 81 and -12
  List after swap: [70, -3, 7, 25, -12, 81, 8, 49, 98]
  Compare 81 and 8
  Swap 81 and 8
  List after swap: [70, -3, 7, 25, -12, 8, 81, 49, 98]
  Compare 81 and 49
  Swap 81 and 49
  List after swap: [70, -3, 7, 25, -12, 8, 49, 81, 98]

Pass 3:
  Compare 70 and -3
  Swap 70 and -3
  List after swap: [-3, 70, 7, 25, -12, 8, 49, 81, 98]
  Compare 70 and 7
  Swap 70 and 7
  List after swap: [-3, 7, 70, 25, -12, 8, 49, 81, 98]
  Compare 70 and 25
  Swap 70 and 25
  List after swap: [-3, 7, 25, 70, -12, 8, 49, 81, 98]
  Compare 70 and -12
  Swap 70 and -12
  List after swap: [-3, 7, 25, -12, 70, 8, 49, 81, 98]
  Compare 70 and 8
  Swap 70 and 8
  List after swap: [-3, 7, 25, -12, 8, 70, 49, 81, 98]
  Compare 70 and 49
  Swap 70 and 49
  List after swap: [-3, 7, 25, -12, 8, 49, 70, 81, 98]

Pass 4:
  Compare -3 and 7
  No swap needed
  Compare 7 and 25
  No swap needed
  Compare 25 and -12
  Swap 25 and -12
  List after swap: [-3, 7, -12, 25, 8, 49, 70, 81, 98]
  Compare 25 and 8
  Swap 25 and 8
  List after swap: [-3, 7, -12, 8, 25, 49, 70, 81, 98]
  Compare 25 and 49
  No swap needed

Pass 5:
  Compare -3 and 7
  No swap needed
  Compare 7 and -12
  Swap 7 and -12
  List after swap: [-3, -12, 7, 8, 25, 49, 70, 81, 98]
  Compare 7 and 8
  No swap needed
  Compare 8 and 25
  No swap needed

Pass 6:
  Compare -3 and -12
  Swap -3 and -12
  List after swap: [-12, -3, 7, 8, 25, 49, 70, 81, 98]
  Compare -3 and 7
  No swap needed
  Compare 7 and 8
  No swap needed

Pass 7:
  Compare -12 and -3
  No swap needed
  Compare -3 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-12, -3, 7, 8, 25, 49, 70, 81, 98]
</think>

<response>-12, -3, 7, 8, 25, 49, 70, 81, 98</response>


input: Arrange the numbers 28, -7, -75, -33 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [28, -7, -75, -33]

Pass 1:
  Compare 28 and -7
  Swap 28 and -7
  List after swap: [-7, 28, -75, -33]
  Compare 28 and -75
  Swap 28 and -75
  List after swap: [-7, -75, 28, -33]
  Compare 28 and -33
  Swap 28 and -33
  List after swap: [-7, -75, -33, 28]

Pass 2:
  Compare -7 and -75
  Swap -7 and -75
  List after swap: [-75, -7, -33, 28]
  Compare -7 and -33
  Swap -7 and -33
  List after swap: [-75, -33, -7, 28]

Pass 3:
  Compare -75 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -33, -7, 28]
</think>

<response>-75, -33, -7, 28</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -73, 47, -33, -13, 4, -18, 20, 31, 19.

output:
<think>
Initial list: [-73, 47, -33, -13, 4, -18, 20, 31, 19]

Pass 1:
  Compare -73 and 47
  No swap needed
  Compare 47 and -33
  Swap 47 and -33
  List after swap: [-73, -33, 47, -13, 4, -18, 20, 31, 19]
  Compare 47 and -13
  Swap 47 and -13
  List after swap: [-73, -33, -13, 47, 4, -18, 20, 31, 19]
  Compare 47 and 4
  Swap 47 and 4
  List after swap: [-73, -33, -13, 4, 47, -18, 20, 31, 19]
  Compare 47 and -18
  Swap 47 and -18
  List after swap: [-73, -33, -13, 4, -18, 47, 20, 31, 19]
  Compare 47 and 20
  Swap 47 and 20
  List after swap: [-73, -33, -13, 4, -18, 20, 47, 31, 19]
  Compare 47 and 31
  Swap 47 and 31
  List after swap: [-73, -33, -13, 4, -18, 20, 31, 47, 19]
  Compare 47 and 19
  Swap 47 and 19
  List after swap: [-73, -33, -13, 4, -18, 20, 31, 19, 47]

Pass 2:
  Compare -73 and -33
  No swap needed
  Compare -33 and -13
  No swap needed
  Compare -13 and 4
  No swap needed
  Compare 4 and -18
  Swap 4 and -18
  List after swap: [-73, -33, -13, -18, 4, 20, 31, 19, 47]
  Compare 4 and 20
  No swap needed
  Compare 20 and 31
  No swap needed
  Compare 31 and 19
  Swap 31 and 19
  List after swap: [-73, -33, -13, -18, 4, 20, 19, 31, 47]

Pass 3:
  Compare -73 and -33
  No swap needed
  Compare -33 and -13
  No swap needed
  Compare -13 and -18
  Swap -13 and -18
  List after swap: [-73, -33, -18, -13, 4, 20, 19, 31, 47]
  Compare -13 and 4
  No swap needed
  Compare 4 and 20
  No swap needed
  Compare 20 and 19
  Swap 20 and 19
  List after swap: [-73, -33, -18, -13, 4, 19, 20, 31, 47]

Pass 4:
  Compare -73 and -33
  No swap needed
  Compare -33 and -18
  No swap needed
  Compare -18 and -13
  No swap needed
  Compare -13 and 4
  No swap needed
  Compare 4 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -33, -18, -13, 4, 19, 20, 31, 47]
</think>

<response>-73, -33, -18, -13, 4, 19, 20, 31, 47</response>


input: Using the bubble sort method, sort -18, -6, 94, -50, -9, -80, 33 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-18, -6, 94, -50, -9, -80, 33]

Pass 1:
  Compare -18 and -6
  No swap needed
  Compare -6 and 94
  No swap needed
  Compare 94 and -50
  Swap 94 and -50
  List after swap: [-18, -6, -50, 94, -9, -80, 33]
  Compare 94 and -9
  Swap 94 and -9
  List after swap: [-18, -6, -50, -9, 94, -80, 33]
  Compare 94 and -80
  Swap 94 and -80
  List after swap: [-18, -6, -50, -9, -80, 94, 33]
  Compare 94 and 33
  Swap 94 and 33
  List after swap: [-18, -6, -50, -9, -80, 33, 94]

Pass 2:
  Compare -18 and -6
  No swap needed
  Compare -6 and -50
  Swap -6 and -50
  List after swap: [-18, -50, -6, -9, -80, 33, 94]
  Compare -6 and -9
  Swap -6 and -9
  List after swap: [-18, -50, -9, -6, -80, 33, 94]
  Compare -6 and -80
  Swap -6 and -80
  List after swap: [-18, -50, -9, -80, -6, 33, 94]
  Compare -6 and 33
  No swap needed

Pass 3:
  Compare -18 and -50
  Swap -18 and -50
  List after swap: [-50, -18, -9, -80, -6, 33, 94]
  Compare -18 and -9
  No swap needed
  Compare -9 and -80
  Swap -9 and -80
  List after swap: [-50, -18, -80, -9, -6, 33, 94]
  Compare -9 and -6
  No swap needed

Pass 4:
  Compare -50 and -18
  No swap needed
  Compare -18 and -80
  Swap -18 and -80
  List after swap: [-50, -80, -18, -9, -6, 33, 94]
  Compare -18 and -9
  No swap needed

Pass 5:
  Compare -50 and -80
  Swap -50 and -80
  List after swap: [-80, -50, -18, -9, -6, 33, 94]
  Compare -50 and -18
  No swap needed

Pass 6:
  Compare -80 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -50, -18, -9, -6, 33, 94]
</think>

<response>-80, -50, -18, -9, -6, 33, 94</response>


input: Perform a bubble sort on the integers -50, -51, -49, -91, -46, -23, -70, 59, -13, 15, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-50, -51, -49, -91, -46, -23, -70, 59, -13, 15]

Pass 1:
  Compare -50 and -51
  Swap -50 and -51
  List after swap: [-51, -50, -49, -91, -46, -23, -70, 59, -13, 15]
  Compare -50 and -49
  No swap needed
  Compare -49 and -91
  Swap -49 and -91
  List after swap: [-51, -50, -91, -49, -46, -23, -70, 59, -13, 15]
  Compare -49 and -46
  No swap needed
  Compare -46 and -23
  No swap needed
  Compare -23 and -70
  Swap -23 and -70
  List after swap: [-51, -50, -91, -49, -46, -70, -23, 59, -13, 15]
  Compare -23 and 59
  No swap needed
  Compare 59 and -13
  Swap 59 and -13
  List after swap: [-51, -50, -91, -49, -46, -70, -23, -13, 59, 15]
  Compare 59 and 15
  Swap 59 and 15
  List after swap: [-51, -50, -91, -49, -46, -70, -23, -13, 15, 59]

Pass 2:
  Compare -51 and -50
  No swap needed
  Compare -50 and -91
  Swap -50 and -91
  List after swap: [-51, -91, -50, -49, -46, -70, -23, -13, 15, 59]
  Compare -50 and -49
  No swap needed
  Compare -49 and -46
  No swap needed
  Compare -46 and -70
  Swap -46 and -70
  List after swap: [-51, -91, -50, -49, -70, -46, -23, -13, 15, 59]
  Compare -46 and -23
  No swap needed
  Compare -23 and -13
  No swap needed
  Compare -13 and 15
  No swap needed

Pass 3:
  Compare -51 and -91
  Swap -51 and -91
  List after swap: [-91, -51, -50, -49, -70, -46, -23, -13, 15, 59]
  Compare -51 and -50
  No swap needed
  Compare -50 and -49
  No swap needed
  Compare -49 and -70
  Swap -49 and -70
  List after swap: [-91, -51, -50, -70, -49, -46, -23, -13, 15, 59]
  Compare -49 and -46
  No swap needed
  Compare -46 and -23
  No swap needed
  Compare -23 and -13
  No swap needed

Pass 4:
  Compare -91 and -51
  No swap needed
  Compare -51 and -50
  No swap needed
  Compare -50 and -70
  Swap -50 and -70
  List after swap: [-91, -51, -70, -50, -49, -46, -23, -13, 15, 59]
  Compare -50 and -49
  No swap needed
  Compare -49 and -46
  No swap needed
  Compare -46 and -23
  No swap needed

Pass 5:
  Compare -91 and -51
  No swap needed
  Compare -51 and -70
  Swap -51 and -70
  List after swap: [-91, -70, -51, -50, -49, -46, -23, -13, 15, 59]
  Compare -51 and -50
  No swap needed
  Compare -50 and -49
  No swap needed
  Compare -49 and -46
  No swap needed

Pass 6:
  Compare -91 and -70
  No swap needed
  Compare -70 and -51
  No swap needed
  Compare -51 and -50
  No swap needed
  Compare -50 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -70, -51, -50, -49, -46, -23, -13, 15, 59]
</think>

<response>-91, -70, -51, -50, -49, -46, -23, -13, 15, 59</response>


input: Sort these integers 75, -9, -18 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [75, -9, -18]

Pass 1:
  Compare 75 and -9
  Swap 75 and -9
  List after swap: [-9, 75, -18]
  Compare 75 and -18
  Swap 75 and -18
  List after swap: [-9, -18, 75]

Pass 2:
  Compare -9 and -18
  Swap -9 and -18
  List after swap: [-18, -9, 75]

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

Final sorted list: [-18, -9, 75]
</think>

<response>-18, -9, 75</response>


input: Implement bubble sort on 64, -42, 51, -71, -52, 78 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [64, -42, 51, -71, -52, 78]

Pass 1:
  Compare 64 and -42
  Swap 64 and -42
  List after swap: [-42, 64, 51, -71, -52, 78]
  Compare 64 and 51
  Swap 64 and 51
  List after swap: [-42, 51, 64, -71, -52, 78]
  Compare 64 and -71
  Swap 64 and -71
  List after swap: [-42, 51, -71, 64, -52, 78]
  Compare 64 and -52
  Swap 64 and -52
  List after swap: [-42, 51, -71, -52, 64, 78]
  Compare 64 and 78
  No swap needed

Pass 2:
  Compare -42 and 51
  No swap needed
  Compare 51 and -71
  Swap 51 and -71
  List after swap: [-42, -71, 51, -52, 64, 78]
  Compare 51 and -52
  Swap 51 and -52
  List after swap: [-42, -71, -52, 51, 64, 78]
  Compare 51 and 64
  No swap needed

Pass 3:
  Compare -42 and -71
  Swap -42 and -71
  List after swap: [-71, -42, -52, 51, 64, 78]
  Compare -42 and -52
  Swap -42 and -52
  List after swap: [-71, -52, -42, 51, 64, 78]
  Compare -42 and 51
  No swap needed

Pass 4:
  Compare -71 and -52
  No swap needed
  Compare -52 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -52, -42, 51, 64, 78]
</think>

<response>-71, -52, -42, 51, 64, 78</response>


input: Using the bubble sort method, sort 35, 84, 10, 28, -35 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [35, 84, 10, 28, -35]

Pass 1:
  Compare 35 and 84
  No swap needed
  Compare 84 and 10
  Swap 84 and 10
  List after swap: [35, 10, 84, 28, -35]
  Compare 84 and 28
  Swap 84 and 28
  List after swap: [35, 10, 28, 84, -35]
  Compare 84 and -35
  Swap 84 and -35
  List after swap: [35, 10, 28, -35, 84]

Pass 2:
  Compare 35 and 10
  Swap 35 and 10
  List after swap: [10, 35, 28, -35, 84]
  Compare 35 and 28
  Swap 35 and 28
  List after swap: [10, 28, 35, -35, 84]
  Compare 35 and -35
  Swap 35 and -35
  List after swap: [10, 28, -35, 35, 84]

Pass 3:
  Compare 10 and 28
  No swap needed
  Compare 28 and -35
  Swap 28 and -35
  List after swap: [10, -35, 28, 35, 84]

Pass 4:
  Compare 10 and -35
  Swap 10 and -35
  List after swap: [-35, 10, 28, 35, 84]

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

Final sorted list: [-35, 10, 28, 35, 84]
</think>

<response>-35, 10, 28, 35, 84</response>


input: Sort these integers -91, -29, 14, -37, -31, -1, -59 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-91, -29, 14, -37, -31, -1, -59]

Pass 1:
  Compare -91 and -29
  No swap needed
  Compare -29 and 14
  No swap needed
  Compare 14 and -37
  Swap 14 and -37
  List after swap: [-91, -29, -37, 14, -31, -1, -59]
  Compare 14 and -31
  Swap 14 and -31
  List after swap: [-91, -29, -37, -31, 14, -1, -59]
  Compare 14 and -1
  Swap 14 and -1
  List after swap: [-91, -29, -37, -31, -1, 14, -59]
  Compare 14 and -59
  Swap 14 and -59
  List after swap: [-91, -29, -37, -31, -1, -59, 14]

Pass 2:
  Compare -91 and -29
  No swap needed
  Compare -29 and -37
  Swap -29 and -37
  List after swap: [-91, -37, -29, -31, -1, -59, 14]
  Compare -29 and -31
  Swap -29 and -31
  List after swap: [-91, -37, -31, -29, -1, -59, 14]
  Compare -29 and -1
  No swap needed
  Compare -1 and -59
  Swap -1 and -59
  List after swap: [-91, -37, -31, -29, -59, -1, 14]

Pass 3:
  Compare -91 and -37
  No swap needed
  Compare -37 and -31
  No swap needed
  Compare -31 and -29
  No swap needed
  Compare -29 and -59
  Swap -29 and -59
  List after swap: [-91, -37, -31, -59, -29, -1, 14]

Pass 4:
  Compare -91 and -37
  No swap needed
  Compare -37 and -31
  No swap needed
  Compare -31 and -59
  Swap -31 and -59
  List after swap: [-91, -37, -59, -31, -29, -1, 14]

Pass 5:
  Compare -91 and -37
  No swap needed
  Compare -37 and -59
  Swap -37 and -59
  List after swap: [-91, -59, -37, -31, -29, -1, 14]

Pass 6:
  Compare -91 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -59, -37, -31, -29, -1, 14]
</think>

<response>-91, -59, -37, -31, -29, -1, 14</response>


input: Sort the list -19, 49 from smallest to largest using bubble sort, and show every stage of the process.

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

Pass 1:
  Compare -19 and 49
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-19, 49</response>


input: Arrange the numbers 81, -66, -45, 50 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [81, -66, -45, 50]

Pass 1:
  Compare 81 and -66
  Swap 81 and -66
  List after swap: [-66, 81, -45, 50]
  Compare 81 and -45
  Swap 81 and -45
  List after swap: [-66, -45, 81, 50]
  Compare 81 and 50
  Swap 81 and 50
  List after swap: [-66, -45, 50, 81]

Pass 2:
  Compare -66 and -45
  No swap needed
  Compare -45 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -45, 50, 81]
</think>

<response>-66, -45, 50, 81</response>