input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 87, -52, 83, 79, 88, -63.

output:
<think>
Initial list: [87, -52, 83, 79, 88, -63]

Pass 1:
  Compare 87 and -52
  Swap 87 and -52
  List after swap: [-52, 87, 83, 79, 88, -63]
  Compare 87 and 83
  Swap 87 and 83
  List after swap: [-52, 83, 87, 79, 88, -63]
  Compare 87 and 79
  Swap 87 and 79
  List after swap: [-52, 83, 79, 87, 88, -63]
  Compare 87 and 88
  No swap needed
  Compare 88 and -63
  Swap 88 and -63
  List after swap: [-52, 83, 79, 87, -63, 88]

Pass 2:
  Compare -52 and 83
  No swap needed
  Compare 83 and 79
  Swap 83 and 79
  List after swap: [-52, 79, 83, 87, -63, 88]
  Compare 83 and 87
  No swap needed
  Compare 87 and -63
  Swap 87 and -63
  List after swap: [-52, 79, 83, -63, 87, 88]

Pass 3:
  Compare -52 and 79
  No swap needed
  Compare 79 and 83
  No swap needed
  Compare 83 and -63
  Swap 83 and -63
  List after swap: [-52, 79, -63, 83, 87, 88]

Pass 4:
  Compare -52 and 79
  No swap needed
  Compare 79 and -63
  Swap 79 and -63
  List after swap: [-52, -63, 79, 83, 87, 88]

Pass 5:
  Compare -52 and -63
  Swap -52 and -63
  List after swap: [-63, -52, 79, 83, 87, 88]

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

Final sorted list: [-63, -52, 79, 83, 87, 88]
</think>

<response>-63, -52, 79, 83, 87, 88</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -52, 78, 74.

output:
<think>
Initial list: [-52, 78, 74]

Pass 1:
  Compare -52 and 78
  No swap needed
  Compare 78 and 74
  Swap 78 and 74
  List after swap: [-52, 74, 78]

Pass 2:
  Compare -52 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, 74, 78]
</think>

<response>-52, 74, 78</response>


input: Implement bubble sort on -93, 32, 70, -38, -97, -29, 9, 14, 42, -11 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-93, 32, 70, -38, -97, -29, 9, 14, 42, -11]

Pass 1:
  Compare -93 and 32
  No swap needed
  Compare 32 and 70
  No swap needed
  Compare 70 and -38
  Swap 70 and -38
  List after swap: [-93, 32, -38, 70, -97, -29, 9, 14, 42, -11]
  Compare 70 and -97
  Swap 70 and -97
  List after swap: [-93, 32, -38, -97, 70, -29, 9, 14, 42, -11]
  Compare 70 and -29
  Swap 70 and -29
  List after swap: [-93, 32, -38, -97, -29, 70, 9, 14, 42, -11]
  Compare 70 and 9
  Swap 70 and 9
  List after swap: [-93, 32, -38, -97, -29, 9, 70, 14, 42, -11]
  Compare 70 and 14
  Swap 70 and 14
  List after swap: [-93, 32, -38, -97, -29, 9, 14, 70, 42, -11]
  Compare 70 and 42
  Swap 70 and 42
  List after swap: [-93, 32, -38, -97, -29, 9, 14, 42, 70, -11]
  Compare 70 and -11
  Swap 70 and -11
  List after swap: [-93, 32, -38, -97, -29, 9, 14, 42, -11, 70]

Pass 2:
  Compare -93 and 32
  No swap needed
  Compare 32 and -38
  Swap 32 and -38
  List after swap: [-93, -38, 32, -97, -29, 9, 14, 42, -11, 70]
  Compare 32 and -97
  Swap 32 and -97
  List after swap: [-93, -38, -97, 32, -29, 9, 14, 42, -11, 70]
  Compare 32 and -29
  Swap 32 and -29
  List after swap: [-93, -38, -97, -29, 32, 9, 14, 42, -11, 70]
  Compare 32 and 9
  Swap 32 and 9
  List after swap: [-93, -38, -97, -29, 9, 32, 14, 42, -11, 70]
  Compare 32 and 14
  Swap 32 and 14
  List after swap: [-93, -38, -97, -29, 9, 14, 32, 42, -11, 70]
  Compare 32 and 42
  No swap needed
  Compare 42 and -11
  Swap 42 and -11
  List after swap: [-93, -38, -97, -29, 9, 14, 32, -11, 42, 70]

Pass 3:
  Compare -93 and -38
  No swap needed
  Compare -38 and -97
  Swap -38 and -97
  List after swap: [-93, -97, -38, -29, 9, 14, 32, -11, 42, 70]
  Compare -38 and -29
  No swap needed
  Compare -29 and 9
  No swap needed
  Compare 9 and 14
  No swap needed
  Compare 14 and 32
  No swap needed
  Compare 32 and -11
  Swap 32 and -11
  List after swap: [-93, -97, -38, -29, 9, 14, -11, 32, 42, 70]

Pass 4:
  Compare -93 and -97
  Swap -93 and -97
  List after swap: [-97, -93, -38, -29, 9, 14, -11, 32, 42, 70]
  Compare -93 and -38
  No swap needed
  Compare -38 and -29
  No swap needed
  Compare -29 and 9
  No swap needed
  Compare 9 and 14
  No swap needed
  Compare 14 and -11
  Swap 14 and -11
  List after swap: [-97, -93, -38, -29, 9, -11, 14, 32, 42, 70]

Pass 5:
  Compare -97 and -93
  No swap needed
  Compare -93 and -38
  No swap needed
  Compare -38 and -29
  No swap needed
  Compare -29 and 9
  No swap needed
  Compare 9 and -11
  Swap 9 and -11
  List after swap: [-97, -93, -38, -29, -11, 9, 14, 32, 42, 70]

Pass 6:
  Compare -97 and -93
  No swap needed
  Compare -93 and -38
  No swap needed
  Compare -38 and -29
  No swap needed
  Compare -29 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -93, -38, -29, -11, 9, 14, 32, 42, 70]
</think>

<response>-97, -93, -38, -29, -11, 9, 14, 32, 42, 70</response>


input: Sort the list 16, -45, 55, -73, 36, -68, -62 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [16, -45, 55, -73, 36, -68, -62]

Pass 1:
  Compare 16 and -45
  Swap 16 and -45
  List after swap: [-45, 16, 55, -73, 36, -68, -62]
  Compare 16 and 55
  No swap needed
  Compare 55 and -73
  Swap 55 and -73
  List after swap: [-45, 16, -73, 55, 36, -68, -62]
  Compare 55 and 36
  Swap 55 and 36
  List after swap: [-45, 16, -73, 36, 55, -68, -62]
  Compare 55 and -68
  Swap 55 and -68
  List after swap: [-45, 16, -73, 36, -68, 55, -62]
  Compare 55 and -62
  Swap 55 and -62
  List after swap: [-45, 16, -73, 36, -68, -62, 55]

Pass 2:
  Compare -45 and 16
  No swap needed
  Compare 16 and -73
  Swap 16 and -73
  List after swap: [-45, -73, 16, 36, -68, -62, 55]
  Compare 16 and 36
  No swap needed
  Compare 36 and -68
  Swap 36 and -68
  List after swap: [-45, -73, 16, -68, 36, -62, 55]
  Compare 36 and -62
  Swap 36 and -62
  List after swap: [-45, -73, 16, -68, -62, 36, 55]

Pass 3:
  Compare -45 and -73
  Swap -45 and -73
  List after swap: [-73, -45, 16, -68, -62, 36, 55]
  Compare -45 and 16
  No swap needed
  Compare 16 and -68
  Swap 16 and -68
  List after swap: [-73, -45, -68, 16, -62, 36, 55]
  Compare 16 and -62
  Swap 16 and -62
  List after swap: [-73, -45, -68, -62, 16, 36, 55]

Pass 4:
  Compare -73 and -45
  No swap needed
  Compare -45 and -68
  Swap -45 and -68
  List after swap: [-73, -68, -45, -62, 16, 36, 55]
  Compare -45 and -62
  Swap -45 and -62
  List after swap: [-73, -68, -62, -45, 16, 36, 55]

Pass 5:
  Compare -73 and -68
  No swap needed
  Compare -68 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -68, -62, -45, 16, 36, 55]
</think>

<response>-73, -68, -62, -45, 16, 36, 55</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 1, -6, 83.

output:
<think>
Initial list: [1, -6, 83]

Pass 1:
  Compare 1 and -6
  Swap 1 and -6
  List after swap: [-6, 1, 83]
  Compare 1 and 83
  No swap needed

Pass 2:
  Compare -6 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-6, 1, 83]
</think>

<response>-6, 1, 83</response>


input: Demonstrate how bubble sort orders the integers 25, 75, 96, -77, 27, -23, 55, -17 in ascending sequence, showing all steps.

output:
<think>
Initial list: [25, 75, 96, -77, 27, -23, 55, -17]

Pass 1:
  Compare 25 and 75
  No swap needed
  Compare 75 and 96
  No swap needed
  Compare 96 and -77
  Swap 96 and -77
  List after swap: [25, 75, -77, 96, 27, -23, 55, -17]
  Compare 96 and 27
  Swap 96 and 27
  List after swap: [25, 75, -77, 27, 96, -23, 55, -17]
  Compare 96 and -23
  Swap 96 and -23
  List after swap: [25, 75, -77, 27, -23, 96, 55, -17]
  Compare 96 and 55
  Swap 96 and 55
  List after swap: [25, 75, -77, 27, -23, 55, 96, -17]
  Compare 96 and -17
  Swap 96 and -17
  List after swap: [25, 75, -77, 27, -23, 55, -17, 96]

Pass 2:
  Compare 25 and 75
  No swap needed
  Compare 75 and -77
  Swap 75 and -77
  List after swap: [25, -77, 75, 27, -23, 55, -17, 96]
  Compare 75 and 27
  Swap 75 and 27
  List after swap: [25, -77, 27, 75, -23, 55, -17, 96]
  Compare 75 and -23
  Swap 75 and -23
  List after swap: [25, -77, 27, -23, 75, 55, -17, 96]
  Compare 75 and 55
  Swap 75 and 55
  List after swap: [25, -77, 27, -23, 55, 75, -17, 96]
  Compare 75 and -17
  Swap 75 and -17
  List after swap: [25, -77, 27, -23, 55, -17, 75, 96]

Pass 3:
  Compare 25 and -77
  Swap 25 and -77
  List after swap: [-77, 25, 27, -23, 55, -17, 75, 96]
  Compare 25 and 27
  No swap needed
  Compare 27 and -23
  Swap 27 and -23
  List after swap: [-77, 25, -23, 27, 55, -17, 75, 96]
  Compare 27 and 55
  No swap needed
  Compare 55 and -17
  Swap 55 and -17
  List after swap: [-77, 25, -23, 27, -17, 55, 75, 96]

Pass 4:
  Compare -77 and 25
  No swap needed
  Compare 25 and -23
  Swap 25 and -23
  List after swap: [-77, -23, 25, 27, -17, 55, 75, 96]
  Compare 25 and 27
  No swap needed
  Compare 27 and -17
  Swap 27 and -17
  List after swap: [-77, -23, 25, -17, 27, 55, 75, 96]

Pass 5:
  Compare -77 and -23
  No swap needed
  Compare -23 and 25
  No swap needed
  Compare 25 and -17
  Swap 25 and -17
  List after swap: [-77, -23, -17, 25, 27, 55, 75, 96]

Pass 6:
  Compare -77 and -23
  No swap needed
  Compare -23 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -23, -17, 25, 27, 55, 75, 96]
</think>

<response>-77, -23, -17, 25, 27, 55, 75, 96</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 39, 4, 6, 80, 89, 50.

output:
<think>
Initial list: [39, 4, 6, 80, 89, 50]

Pass 1:
  Compare 39 and 4
  Swap 39 and 4
  List after swap: [4, 39, 6, 80, 89, 50]
  Compare 39 and 6
  Swap 39 and 6
  List after swap: [4, 6, 39, 80, 89, 50]
  Compare 39 and 80
  No swap needed
  Compare 80 and 89
  No swap needed
  Compare 89 and 50
  Swap 89 and 50
  List after swap: [4, 6, 39, 80, 50, 89]

Pass 2:
  Compare 4 and 6
  No swap needed
  Compare 6 and 39
  No swap needed
  Compare 39 and 80
  No swap needed
  Compare 80 and 50
  Swap 80 and 50
  List after swap: [4, 6, 39, 50, 80, 89]

Pass 3:
  Compare 4 and 6
  No swap needed
  Compare 6 and 39
  No swap needed
  Compare 39 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [4, 6, 39, 50, 80, 89]
</think>

<response>4, 6, 39, 50, 80, 89</response>


input: Implement bubble sort on -63, 51, 31, 80, -34, 19, -65, 91, -59, -21 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-63, 51, 31, 80, -34, 19, -65, 91, -59, -21]

Pass 1:
  Compare -63 and 51
  No swap needed
  Compare 51 and 31
  Swap 51 and 31
  List after swap: [-63, 31, 51, 80, -34, 19, -65, 91, -59, -21]
  Compare 51 and 80
  No swap needed
  Compare 80 and -34
  Swap 80 and -34
  List after swap: [-63, 31, 51, -34, 80, 19, -65, 91, -59, -21]
  Compare 80 and 19
  Swap 80 and 19
  List after swap: [-63, 31, 51, -34, 19, 80, -65, 91, -59, -21]
  Compare 80 and -65
  Swap 80 and -65
  List after swap: [-63, 31, 51, -34, 19, -65, 80, 91, -59, -21]
  Compare 80 and 91
  No swap needed
  Compare 91 and -59
  Swap 91 and -59
  List after swap: [-63, 31, 51, -34, 19, -65, 80, -59, 91, -21]
  Compare 91 and -21
  Swap 91 and -21
  List after swap: [-63, 31, 51, -34, 19, -65, 80, -59, -21, 91]

Pass 2:
  Compare -63 and 31
  No swap needed
  Compare 31 and 51
  No swap needed
  Compare 51 and -34
  Swap 51 and -34
  List after swap: [-63, 31, -34, 51, 19, -65, 80, -59, -21, 91]
  Compare 51 and 19
  Swap 51 and 19
  List after swap: [-63, 31, -34, 19, 51, -65, 80, -59, -21, 91]
  Compare 51 and -65
  Swap 51 and -65
  List after swap: [-63, 31, -34, 19, -65, 51, 80, -59, -21, 91]
  Compare 51 and 80
  No swap needed
  Compare 80 and -59
  Swap 80 and -59
  List after swap: [-63, 31, -34, 19, -65, 51, -59, 80, -21, 91]
  Compare 80 and -21
  Swap 80 and -21
  List after swap: [-63, 31, -34, 19, -65, 51, -59, -21, 80, 91]

Pass 3:
  Compare -63 and 31
  No swap needed
  Compare 31 and -34
  Swap 31 and -34
  List after swap: [-63, -34, 31, 19, -65, 51, -59, -21, 80, 91]
  Compare 31 and 19
  Swap 31 and 19
  List after swap: [-63, -34, 19, 31, -65, 51, -59, -21, 80, 91]
  Compare 31 and -65
  Swap 31 and -65
  List after swap: [-63, -34, 19, -65, 31, 51, -59, -21, 80, 91]
  Compare 31 and 51
  No swap needed
  Compare 51 and -59
  Swap 51 and -59
  List after swap: [-63, -34, 19, -65, 31, -59, 51, -21, 80, 91]
  Compare 51 and -21
  Swap 51 and -21
  List after swap: [-63, -34, 19, -65, 31, -59, -21, 51, 80, 91]

Pass 4:
  Compare -63 and -34
  No swap needed
  Compare -34 and 19
  No swap needed
  Compare 19 and -65
  Swap 19 and -65
  List after swap: [-63, -34, -65, 19, 31, -59, -21, 51, 80, 91]
  Compare 19 and 31
  No swap needed
  Compare 31 and -59
  Swap 31 and -59
  List after swap: [-63, -34, -65, 19, -59, 31, -21, 51, 80, 91]
  Compare 31 and -21
  Swap 31 and -21
  List after swap: [-63, -34, -65, 19, -59, -21, 31, 51, 80, 91]

Pass 5:
  Compare -63 and -34
  No swap needed
  Compare -34 and -65
  Swap -34 and -65
  List after swap: [-63, -65, -34, 19, -59, -21, 31, 51, 80, 91]
  Compare -34 and 19
  No swap needed
  Compare 19 and -59
  Swap 19 and -59
  List after swap: [-63, -65, -34, -59, 19, -21, 31, 51, 80, 91]
  Compare 19 and -21
  Swap 19 and -21
  List after swap: [-63, -65, -34, -59, -21, 19, 31, 51, 80, 91]

Pass 6:
  Compare -63 and -65
  Swap -63 and -65
  List after swap: [-65, -63, -34, -59, -21, 19, 31, 51, 80, 91]
  Compare -63 and -34
  No swap needed
  Compare -34 and -59
  Swap -34 and -59
  List after swap: [-65, -63, -59, -34, -21, 19, 31, 51, 80, 91]
  Compare -34 and -21
  No swap needed

Pass 7:
  Compare -65 and -63
  No swap needed
  Compare -63 and -59
  No swap needed
  Compare -59 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -63, -59, -34, -21, 19, 31, 51, 80, 91]
</think>

<response>-65, -63, -59, -34, -21, 19, 31, 51, 80, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -86, -9, 53, 67.

output:
<think>
Initial list: [-86, -9, 53, 67]

Pass 1:
  Compare -86 and -9
  No swap needed
  Compare -9 and 53
  No swap needed
  Compare 53 and 67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -9, 53, 67]
</think>

<response>-86, -9, 53, 67</response>


input: Execute bubble sort to sort 77, 61, 84, -69 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [77, 61, 84, -69]

Pass 1:
  Compare 77 and 61
  Swap 77 and 61
  List after swap: [61, 77, 84, -69]
  Compare 77 and 84
  No swap needed
  Compare 84 and -69
  Swap 84 and -69
  List after swap: [61, 77, -69, 84]

Pass 2:
  Compare 61 and 77
  No swap needed
  Compare 77 and -69
  Swap 77 and -69
  List after swap: [61, -69, 77, 84]

Pass 3:
  Compare 61 and -69
  Swap 61 and -69
  List after swap: [-69, 61, 77, 84]

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

Final sorted list: [-69, 61, 77, 84]
</think>

<response>-69, 61, 77, 84</response>


input: Execute bubble sort to sort -73, -74, -14, -6, 62, -25, 56, 79, 22 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-73, -74, -14, -6, 62, -25, 56, 79, 22]

Pass 1:
  Compare -73 and -74
  Swap -73 and -74
  List after swap: [-74, -73, -14, -6, 62, -25, 56, 79, 22]
  Compare -73 and -14
  No swap needed
  Compare -14 and -6
  No swap needed
  Compare -6 and 62
  No swap needed
  Compare 62 and -25
  Swap 62 and -25
  List after swap: [-74, -73, -14, -6, -25, 62, 56, 79, 22]
  Compare 62 and 56
  Swap 62 and 56
  List after swap: [-74, -73, -14, -6, -25, 56, 62, 79, 22]
  Compare 62 and 79
  No swap needed
  Compare 79 and 22
  Swap 79 and 22
  List after swap: [-74, -73, -14, -6, -25, 56, 62, 22, 79]

Pass 2:
  Compare -74 and -73
  No swap needed
  Compare -73 and -14
  No swap needed
  Compare -14 and -6
  No swap needed
  Compare -6 and -25
  Swap -6 and -25
  List after swap: [-74, -73, -14, -25, -6, 56, 62, 22, 79]
  Compare -6 and 56
  No swap needed
  Compare 56 and 62
  No swap needed
  Compare 62 and 22
  Swap 62 and 22
  List after swap: [-74, -73, -14, -25, -6, 56, 22, 62, 79]

Pass 3:
  Compare -74 and -73
  No swap needed
  Compare -73 and -14
  No swap needed
  Compare -14 and -25
  Swap -14 and -25
  List after swap: [-74, -73, -25, -14, -6, 56, 22, 62, 79]
  Compare -14 and -6
  No swap needed
  Compare -6 and 56
  No swap needed
  Compare 56 and 22
  Swap 56 and 22
  List after swap: [-74, -73, -25, -14, -6, 22, 56, 62, 79]

Pass 4:
  Compare -74 and -73
  No swap needed
  Compare -73 and -25
  No swap needed
  Compare -25 and -14
  No swap needed
  Compare -14 and -6
  No swap needed
  Compare -6 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -73, -25, -14, -6, 22, 56, 62, 79]
</think>

<response>-74, -73, -25, -14, -6, 22, 56, 62, 79</response>


input: Perform a bubble sort on the integers 69, 86, 42, 79, -63, -75, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [69, 86, 42, 79, -63, -75]

Pass 1:
  Compare 69 and 86
  No swap needed
  Compare 86 and 42
  Swap 86 and 42
  List after swap: [69, 42, 86, 79, -63, -75]
  Compare 86 and 79
  Swap 86 and 79
  List after swap: [69, 42, 79, 86, -63, -75]
  Compare 86 and -63
  Swap 86 and -63
  List after swap: [69, 42, 79, -63, 86, -75]
  Compare 86 and -75
  Swap 86 and -75
  List after swap: [69, 42, 79, -63, -75, 86]

Pass 2:
  Compare 69 and 42
  Swap 69 and 42
  List after swap: [42, 69, 79, -63, -75, 86]
  Compare 69 and 79
  No swap needed
  Compare 79 and -63
  Swap 79 and -63
  List after swap: [42, 69, -63, 79, -75, 86]
  Compare 79 and -75
  Swap 79 and -75
  List after swap: [42, 69, -63, -75, 79, 86]

Pass 3:
  Compare 42 and 69
  No swap needed
  Compare 69 and -63
  Swap 69 and -63
  List after swap: [42, -63, 69, -75, 79, 86]
  Compare 69 and -75
  Swap 69 and -75
  List after swap: [42, -63, -75, 69, 79, 86]

Pass 4:
  Compare 42 and -63
  Swap 42 and -63
  List after swap: [-63, 42, -75, 69, 79, 86]
  Compare 42 and -75
  Swap 42 and -75
  List after swap: [-63, -75, 42, 69, 79, 86]

Pass 5:
  Compare -63 and -75
  Swap -63 and -75
  List after swap: [-75, -63, 42, 69, 79, 86]

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

Final sorted list: [-75, -63, 42, 69, 79, 86]
</think>

<response>-75, -63, 42, 69, 79, 86</response>


input: Demonstrate how bubble sort orders the integers 45, 61, -88, -24, -53, 55, 20, 89, -21, 99 in ascending sequence, showing all steps.

output:
<think>
Initial list: [45, 61, -88, -24, -53, 55, 20, 89, -21, 99]

Pass 1:
  Compare 45 and 61
  No swap needed
  Compare 61 and -88
  Swap 61 and -88
  List after swap: [45, -88, 61, -24, -53, 55, 20, 89, -21, 99]
  Compare 61 and -24
  Swap 61 and -24
  List after swap: [45, -88, -24, 61, -53, 55, 20, 89, -21, 99]
  Compare 61 and -53
  Swap 61 and -53
  List after swap: [45, -88, -24, -53, 61, 55, 20, 89, -21, 99]
  Compare 61 and 55
  Swap 61 and 55
  List after swap: [45, -88, -24, -53, 55, 61, 20, 89, -21, 99]
  Compare 61 and 20
  Swap 61 and 20
  List after swap: [45, -88, -24, -53, 55, 20, 61, 89, -21, 99]
  Compare 61 and 89
  No swap needed
  Compare 89 and -21
  Swap 89 and -21
  List after swap: [45, -88, -24, -53, 55, 20, 61, -21, 89, 99]
  Compare 89 and 99
  No swap needed

Pass 2:
  Compare 45 and -88
  Swap 45 and -88
  List after swap: [-88, 45, -24, -53, 55, 20, 61, -21, 89, 99]
  Compare 45 and -24
  Swap 45 and -24
  List after swap: [-88, -24, 45, -53, 55, 20, 61, -21, 89, 99]
  Compare 45 and -53
  Swap 45 and -53
  List after swap: [-88, -24, -53, 45, 55, 20, 61, -21, 89, 99]
  Compare 45 and 55
  No swap needed
  Compare 55 and 20
  Swap 55 and 20
  List after swap: [-88, -24, -53, 45, 20, 55, 61, -21, 89, 99]
  Compare 55 and 61
  No swap needed
  Compare 61 and -21
  Swap 61 and -21
  List after swap: [-88, -24, -53, 45, 20, 55, -21, 61, 89, 99]
  Compare 61 and 89
  No swap needed

Pass 3:
  Compare -88 and -24
  No swap needed
  Compare -24 and -53
  Swap -24 and -53
  List after swap: [-88, -53, -24, 45, 20, 55, -21, 61, 89, 99]
  Compare -24 and 45
  No swap needed
  Compare 45 and 20
  Swap 45 and 20
  List after swap: [-88, -53, -24, 20, 45, 55, -21, 61, 89, 99]
  Compare 45 and 55
  No swap needed
  Compare 55 and -21
  Swap 55 and -21
  List after swap: [-88, -53, -24, 20, 45, -21, 55, 61, 89, 99]
  Compare 55 and 61
  No swap needed

Pass 4:
  Compare -88 and -53
  No swap needed
  Compare -53 and -24
  No swap needed
  Compare -24 and 20
  No swap needed
  Compare 20 and 45
  No swap needed
  Compare 45 and -21
  Swap 45 and -21
  List after swap: [-88, -53, -24, 20, -21, 45, 55, 61, 89, 99]
  Compare 45 and 55
  No swap needed

Pass 5:
  Compare -88 and -53
  No swap needed
  Compare -53 and -24
  No swap needed
  Compare -24 and 20
  No swap needed
  Compare 20 and -21
  Swap 20 and -21
  List after swap: [-88, -53, -24, -21, 20, 45, 55, 61, 89, 99]
  Compare 20 and 45
  No swap needed

Pass 6:
  Compare -88 and -53
  No swap needed
  Compare -53 and -24
  No swap needed
  Compare -24 and -21
  No swap needed
  Compare -21 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -53, -24, -21, 20, 45, 55, 61, 89, 99]
</think>

<response>-88, -53, -24, -21, 20, 45, 55, 61, 89, 99</response>


input: Implement bubble sort on -92, -53, 1 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-92, -53, 1]

Pass 1:
  Compare -92 and -53
  No swap needed
  Compare -53 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -53, 1]
</think>

<response>-92, -53, 1</response>


input: Demonstrate how bubble sort orders the integers 48, 32, -6, 87, 29, -16, -91, -72 in ascending sequence, showing all steps.

output:
<think>
Initial list: [48, 32, -6, 87, 29, -16, -91, -72]

Pass 1:
  Compare 48 and 32
  Swap 48 and 32
  List after swap: [32, 48, -6, 87, 29, -16, -91, -72]
  Compare 48 and -6
  Swap 48 and -6
  List after swap: [32, -6, 48, 87, 29, -16, -91, -72]
  Compare 48 and 87
  No swap needed
  Compare 87 and 29
  Swap 87 and 29
  List after swap: [32, -6, 48, 29, 87, -16, -91, -72]
  Compare 87 and -16
  Swap 87 and -16
  List after swap: [32, -6, 48, 29, -16, 87, -91, -72]
  Compare 87 and -91
  Swap 87 and -91
  List after swap: [32, -6, 48, 29, -16, -91, 87, -72]
  Compare 87 and -72
  Swap 87 and -72
  List after swap: [32, -6, 48, 29, -16, -91, -72, 87]

Pass 2:
  Compare 32 and -6
  Swap 32 and -6
  List after swap: [-6, 32, 48, 29, -16, -91, -72, 87]
  Compare 32 and 48
  No swap needed
  Compare 48 and 29
  Swap 48 and 29
  List after swap: [-6, 32, 29, 48, -16, -91, -72, 87]
  Compare 48 and -16
  Swap 48 and -16
  List after swap: [-6, 32, 29, -16, 48, -91, -72, 87]
  Compare 48 and -91
  Swap 48 and -91
  List after swap: [-6, 32, 29, -16, -91, 48, -72, 87]
  Compare 48 and -72
  Swap 48 and -72
  List after swap: [-6, 32, 29, -16, -91, -72, 48, 87]

Pass 3:
  Compare -6 and 32
  No swap needed
  Compare 32 and 29
  Swap 32 and 29
  List after swap: [-6, 29, 32, -16, -91, -72, 48, 87]
  Compare 32 and -16
  Swap 32 and -16
  List after swap: [-6, 29, -16, 32, -91, -72, 48, 87]
  Compare 32 and -91
  Swap 32 and -91
  List after swap: [-6, 29, -16, -91, 32, -72, 48, 87]
  Compare 32 and -72
  Swap 32 and -72
  List after swap: [-6, 29, -16, -91, -72, 32, 48, 87]

Pass 4:
  Compare -6 and 29
  No swap needed
  Compare 29 and -16
  Swap 29 and -16
  List after swap: [-6, -16, 29, -91, -72, 32, 48, 87]
  Compare 29 and -91
  Swap 29 and -91
  List after swap: [-6, -16, -91, 29, -72, 32, 48, 87]
  Compare 29 and -72
  Swap 29 and -72
  List after swap: [-6, -16, -91, -72, 29, 32, 48, 87]

Pass 5:
  Compare -6 and -16
  Swap -6 and -16
  List after swap: [-16, -6, -91, -72, 29, 32, 48, 87]
  Compare -6 and -91
  Swap -6 and -91
  List after swap: [-16, -91, -6, -72, 29, 32, 48, 87]
  Compare -6 and -72
  Swap -6 and -72
  List after swap: [-16, -91, -72, -6, 29, 32, 48, 87]

Pass 6:
  Compare -16 and -91
  Swap -16 and -91
  List after swap: [-91, -16, -72, -6, 29, 32, 48, 87]
  Compare -16 and -72
  Swap -16 and -72
  List after swap: [-91, -72, -16, -6, 29, 32, 48, 87]

Pass 7:
  Compare -91 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -72, -16, -6, 29, 32, 48, 87]
</think>

<response>-91, -72, -16, -6, 29, 32, 48, 87</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 88, -78, 32, 68, -7, 42, 7, 26.

output:
<think>
Initial list: [88, -78, 32, 68, -7, 42, 7, 26]

Pass 1:
  Compare 88 and -78
  Swap 88 and -78
  List after swap: [-78, 88, 32, 68, -7, 42, 7, 26]
  Compare 88 and 32
  Swap 88 and 32
  List after swap: [-78, 32, 88, 68, -7, 42, 7, 26]
  Compare 88 and 68
  Swap 88 and 68
  List after swap: [-78, 32, 68, 88, -7, 42, 7, 26]
  Compare 88 and -7
  Swap 88 and -7
  List after swap: [-78, 32, 68, -7, 88, 42, 7, 26]
  Compare 88 and 42
  Swap 88 and 42
  List after swap: [-78, 32, 68, -7, 42, 88, 7, 26]
  Compare 88 and 7
  Swap 88 and 7
  List after swap: [-78, 32, 68, -7, 42, 7, 88, 26]
  Compare 88 and 26
  Swap 88 and 26
  List after swap: [-78, 32, 68, -7, 42, 7, 26, 88]

Pass 2:
  Compare -78 and 32
  No swap needed
  Compare 32 and 68
  No swap needed
  Compare 68 and -7
  Swap 68 and -7
  List after swap: [-78, 32, -7, 68, 42, 7, 26, 88]
  Compare 68 and 42
  Swap 68 and 42
  List after swap: [-78, 32, -7, 42, 68, 7, 26, 88]
  Compare 68 and 7
  Swap 68 and 7
  List after swap: [-78, 32, -7, 42, 7, 68, 26, 88]
  Compare 68 and 26
  Swap 68 and 26
  List after swap: [-78, 32, -7, 42, 7, 26, 68, 88]

Pass 3:
  Compare -78 and 32
  No swap needed
  Compare 32 and -7
  Swap 32 and -7
  List after swap: [-78, -7, 32, 42, 7, 26, 68, 88]
  Compare 32 and 42
  No swap needed
  Compare 42 and 7
  Swap 42 and 7
  List after swap: [-78, -7, 32, 7, 42, 26, 68, 88]
  Compare 42 and 26
  Swap 42 and 26
  List after swap: [-78, -7, 32, 7, 26, 42, 68, 88]

Pass 4:
  Compare -78 and -7
  No swap needed
  Compare -7 and 32
  No swap needed
  Compare 32 and 7
  Swap 32 and 7
  List after swap: [-78, -7, 7, 32, 26, 42, 68, 88]
  Compare 32 and 26
  Swap 32 and 26
  List after swap: [-78, -7, 7, 26, 32, 42, 68, 88]

Pass 5:
  Compare -78 and -7
  No swap needed
  Compare -7 and 7
  No swap needed
  Compare 7 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -7, 7, 26, 32, 42, 68, 88]
</think>

<response>-78, -7, 7, 26, 32, 42, 68, 88</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -78, -13.

output:
<think>
Initial list: [-78, -13]

Pass 1:
  Compare -78 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -13]
</think>

<response>-78, -13</response>


input: Execute bubble sort to sort -25, 92, 11, 84, 67, 33 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-25, 92, 11, 84, 67, 33]

Pass 1:
  Compare -25 and 92
  No swap needed
  Compare 92 and 11
  Swap 92 and 11
  List after swap: [-25, 11, 92, 84, 67, 33]
  Compare 92 and 84
  Swap 92 and 84
  List after swap: [-25, 11, 84, 92, 67, 33]
  Compare 92 and 67
  Swap 92 and 67
  List after swap: [-25, 11, 84, 67, 92, 33]
  Compare 92 and 33
  Swap 92 and 33
  List after swap: [-25, 11, 84, 67, 33, 92]

Pass 2:
  Compare -25 and 11
  No swap needed
  Compare 11 and 84
  No swap needed
  Compare 84 and 67
  Swap 84 and 67
  List after swap: [-25, 11, 67, 84, 33, 92]
  Compare 84 and 33
  Swap 84 and 33
  List after swap: [-25, 11, 67, 33, 84, 92]

Pass 3:
  Compare -25 and 11
  No swap needed
  Compare 11 and 67
  No swap needed
  Compare 67 and 33
  Swap 67 and 33
  List after swap: [-25, 11, 33, 67, 84, 92]

Pass 4:
  Compare -25 and 11
  No swap needed
  Compare 11 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, 11, 33, 67, 84, 92]
</think>

<response>-25, 11, 33, 67, 84, 92</response>


input: Using the bubble sort method, sort -18, 89, 66, -14, 74, -35, -15, 5, -48, -75 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-18, 89, 66, -14, 74, -35, -15, 5, -48, -75]

Pass 1:
  Compare -18 and 89
  No swap needed
  Compare 89 and 66
  Swap 89 and 66
  List after swap: [-18, 66, 89, -14, 74, -35, -15, 5, -48, -75]
  Compare 89 and -14
  Swap 89 and -14
  List after swap: [-18, 66, -14, 89, 74, -35, -15, 5, -48, -75]
  Compare 89 and 74
  Swap 89 and 74
  List after swap: [-18, 66, -14, 74, 89, -35, -15, 5, -48, -75]
  Compare 89 and -35
  Swap 89 and -35
  List after swap: [-18, 66, -14, 74, -35, 89, -15, 5, -48, -75]
  Compare 89 and -15
  Swap 89 and -15
  List after swap: [-18, 66, -14, 74, -35, -15, 89, 5, -48, -75]
  Compare 89 and 5
  Swap 89 and 5
  List after swap: [-18, 66, -14, 74, -35, -15, 5, 89, -48, -75]
  Compare 89 and -48
  Swap 89 and -48
  List after swap: [-18, 66, -14, 74, -35, -15, 5, -48, 89, -75]
  Compare 89 and -75
  Swap 89 and -75
  List after swap: [-18, 66, -14, 74, -35, -15, 5, -48, -75, 89]

Pass 2:
  Compare -18 and 66
  No swap needed
  Compare 66 and -14
  Swap 66 and -14
  List after swap: [-18, -14, 66, 74, -35, -15, 5, -48, -75, 89]
  Compare 66 and 74
  No swap needed
  Compare 74 and -35
  Swap 74 and -35
  List after swap: [-18, -14, 66, -35, 74, -15, 5, -48, -75, 89]
  Compare 74 and -15
  Swap 74 and -15
  List after swap: [-18, -14, 66, -35, -15, 74, 5, -48, -75, 89]
  Compare 74 and 5
  Swap 74 and 5
  List after swap: [-18, -14, 66, -35, -15, 5, 74, -48, -75, 89]
  Compare 74 and -48
  Swap 74 and -48
  List after swap: [-18, -14, 66, -35, -15, 5, -48, 74, -75, 89]
  Compare 74 and -75
  Swap 74 and -75
  List after swap: [-18, -14, 66, -35, -15, 5, -48, -75, 74, 89]

Pass 3:
  Compare -18 and -14
  No swap needed
  Compare -14 and 66
  No swap needed
  Compare 66 and -35
  Swap 66 and -35
  List after swap: [-18, -14, -35, 66, -15, 5, -48, -75, 74, 89]
  Compare 66 and -15
  Swap 66 and -15
  List after swap: [-18, -14, -35, -15, 66, 5, -48, -75, 74, 89]
  Compare 66 and 5
  Swap 66 and 5
  List after swap: [-18, -14, -35, -15, 5, 66, -48, -75, 74, 89]
  Compare 66 and -48
  Swap 66 and -48
  List after swap: [-18, -14, -35, -15, 5, -48, 66, -75, 74, 89]
  Compare 66 and -75
  Swap 66 and -75
  List after swap: [-18, -14, -35, -15, 5, -48, -75, 66, 74, 89]

Pass 4:
  Compare -18 and -14
  No swap needed
  Compare -14 and -35
  Swap -14 and -35
  List after swap: [-18, -35, -14, -15, 5, -48, -75, 66, 74, 89]
  Compare -14 and -15
  Swap -14 and -15
  List after swap: [-18, -35, -15, -14, 5, -48, -75, 66, 74, 89]
  Compare -14 and 5
  No swap needed
  Compare 5 and -48
  Swap 5 and -48
  List after swap: [-18, -35, -15, -14, -48, 5, -75, 66, 74, 89]
  Compare 5 and -75
  Swap 5 and -75
  List after swap: [-18, -35, -15, -14, -48, -75, 5, 66, 74, 89]

Pass 5:
  Compare -18 and -35
  Swap -18 and -35
  List after swap: [-35, -18, -15, -14, -48, -75, 5, 66, 74, 89]
  Compare -18 and -15
  No swap needed
  Compare -15 and -14
  No swap needed
  Compare -14 and -48
  Swap -14 and -48
  List after swap: [-35, -18, -15, -48, -14, -75, 5, 66, 74, 89]
  Compare -14 and -75
  Swap -14 and -75
  List after swap: [-35, -18, -15, -48, -75, -14, 5, 66, 74, 89]

Pass 6:
  Compare -35 and -18
  No swap needed
  Compare -18 and -15
  No swap needed
  Compare -15 and -48
  Swap -15 and -48
  List after swap: [-35, -18, -48, -15, -75, -14, 5, 66, 74, 89]
  Compare -15 and -75
  Swap -15 and -75
  List after swap: [-35, -18, -48, -75, -15, -14, 5, 66, 74, 89]

Pass 7:
  Compare -35 and -18
  No swap needed
  Compare -18 and -48
  Swap -18 and -48
  List after swap: [-35, -48, -18, -75, -15, -14, 5, 66, 74, 89]
  Compare -18 and -75
  Swap -18 and -75
  List after swap: [-35, -48, -75, -18, -15, -14, 5, 66, 74, 89]

Pass 8:
  Compare -35 and -48
  Swap -35 and -48
  List after swap: [-48, -35, -75, -18, -15, -14, 5, 66, 74, 89]
  Compare -35 and -75
  Swap -35 and -75
  List after swap: [-48, -75, -35, -18, -15, -14, 5, 66, 74, 89]

Pass 9:
  Compare -48 and -75
  Swap -48 and -75
  List after swap: [-75, -48, -35, -18, -15, -14, 5, 66, 74, 89]

Pass 10:
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -48, -35, -18, -15, -14, 5, 66, 74, 89]
</think>

<response>-75, -48, -35, -18, -15, -14, 5, 66, 74, 89</response>


input: Execute bubble sort to sort -18, 7, 35, -73, -42 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-18, 7, 35, -73, -42]

Pass 1:
  Compare -18 and 7
  No swap needed
  Compare 7 and 35
  No swap needed
  Compare 35 and -73
  Swap 35 and -73
  List after swap: [-18, 7, -73, 35, -42]
  Compare 35 and -42
  Swap 35 and -42
  List after swap: [-18, 7, -73, -42, 35]

Pass 2:
  Compare -18 and 7
  No swap needed
  Compare 7 and -73
  Swap 7 and -73
  List after swap: [-18, -73, 7, -42, 35]
  Compare 7 and -42
  Swap 7 and -42
  List after swap: [-18, -73, -42, 7, 35]

Pass 3:
  Compare -18 and -73
  Swap -18 and -73
  List after swap: [-73, -18, -42, 7, 35]
  Compare -18 and -42
  Swap -18 and -42
  List after swap: [-73, -42, -18, 7, 35]

Pass 4:
  Compare -73 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -42, -18, 7, 35]
</think>

<response>-73, -42, -18, 7, 35</response>


input: Sort the list -85, -33, -64, -55, -93 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-85, -33, -64, -55, -93]

Pass 1:
  Compare -85 and -33
  No swap needed
  Compare -33 and -64
  Swap -33 and -64
  List after swap: [-85, -64, -33, -55, -93]
  Compare -33 and -55
  Swap -33 and -55
  List after swap: [-85, -64, -55, -33, -93]
  Compare -33 and -93
  Swap -33 and -93
  List after swap: [-85, -64, -55, -93, -33]

Pass 2:
  Compare -85 and -64
  No swap needed
  Compare -64 and -55
  No swap needed
  Compare -55 and -93
  Swap -55 and -93
  List after swap: [-85, -64, -93, -55, -33]

Pass 3:
  Compare -85 and -64
  No swap needed
  Compare -64 and -93
  Swap -64 and -93
  List after swap: [-85, -93, -64, -55, -33]

Pass 4:
  Compare -85 and -93
  Swap -85 and -93
  List after swap: [-93, -85, -64, -55, -33]

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

Final sorted list: [-93, -85, -64, -55, -33]
</think>

<response>-93, -85, -64, -55, -33</response>


input: Using the bubble sort method, sort -6, -84, -30, 88, 53 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-6, -84, -30, 88, 53]

Pass 1:
  Compare -6 and -84
  Swap -6 and -84
  List after swap: [-84, -6, -30, 88, 53]
  Compare -6 and -30
  Swap -6 and -30
  List after swap: [-84, -30, -6, 88, 53]
  Compare -6 and 88
  No swap needed
  Compare 88 and 53
  Swap 88 and 53
  List after swap: [-84, -30, -6, 53, 88]

Pass 2:
  Compare -84 and -30
  No swap needed
  Compare -30 and -6
  No swap needed
  Compare -6 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -30, -6, 53, 88]
</think>

<response>-84, -30, -6, 53, 88</response>


input: Sort these integers 40, -73, 54, -8, 36, 74, -55 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [40, -73, 54, -8, 36, 74, -55]

Pass 1:
  Compare 40 and -73
  Swap 40 and -73
  List after swap: [-73, 40, 54, -8, 36, 74, -55]
  Compare 40 and 54
  No swap needed
  Compare 54 and -8
  Swap 54 and -8
  List after swap: [-73, 40, -8, 54, 36, 74, -55]
  Compare 54 and 36
  Swap 54 and 36
  List after swap: [-73, 40, -8, 36, 54, 74, -55]
  Compare 54 and 74
  No swap needed
  Compare 74 and -55
  Swap 74 and -55
  List after swap: [-73, 40, -8, 36, 54, -55, 74]

Pass 2:
  Compare -73 and 40
  No swap needed
  Compare 40 and -8
  Swap 40 and -8
  List after swap: [-73, -8, 40, 36, 54, -55, 74]
  Compare 40 and 36
  Swap 40 and 36
  List after swap: [-73, -8, 36, 40, 54, -55, 74]
  Compare 40 and 54
  No swap needed
  Compare 54 and -55
  Swap 54 and -55
  List after swap: [-73, -8, 36, 40, -55, 54, 74]

Pass 3:
  Compare -73 and -8
  No swap needed
  Compare -8 and 36
  No swap needed
  Compare 36 and 40
  No swap needed
  Compare 40 and -55
  Swap 40 and -55
  List after swap: [-73, -8, 36, -55, 40, 54, 74]

Pass 4:
  Compare -73 and -8
  No swap needed
  Compare -8 and 36
  No swap needed
  Compare 36 and -55
  Swap 36 and -55
  List after swap: [-73, -8, -55, 36, 40, 54, 74]

Pass 5:
  Compare -73 and -8
  No swap needed
  Compare -8 and -55
  Swap -8 and -55
  List after swap: [-73, -55, -8, 36, 40, 54, 74]

Pass 6:
  Compare -73 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -55, -8, 36, 40, 54, 74]
</think>

<response>-73, -55, -8, 36, 40, 54, 74</response>


input: Carry out the bubble sort algorithm on 74, 94 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [74, 94]

Pass 1:
  Compare 74 and 94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [74, 94]
</think>

<response>74, 94</response>


input: Arrange the numbers -87, -84, 4, 78, -79, 37, 34, -75, -23, 15 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-87, -84, 4, 78, -79, 37, 34, -75, -23, 15]

Pass 1:
  Compare -87 and -84
  No swap needed
  Compare -84 and 4
  No swap needed
  Compare 4 and 78
  No swap needed
  Compare 78 and -79
  Swap 78 and -79
  List after swap: [-87, -84, 4, -79, 78, 37, 34, -75, -23, 15]
  Compare 78 and 37
  Swap 78 and 37
  List after swap: [-87, -84, 4, -79, 37, 78, 34, -75, -23, 15]
  Compare 78 and 34
  Swap 78 and 34
  List after swap: [-87, -84, 4, -79, 37, 34, 78, -75, -23, 15]
  Compare 78 and -75
  Swap 78 and -75
  List after swap: [-87, -84, 4, -79, 37, 34, -75, 78, -23, 15]
  Compare 78 and -23
  Swap 78 and -23
  List after swap: [-87, -84, 4, -79, 37, 34, -75, -23, 78, 15]
  Compare 78 and 15
  Swap 78 and 15
  List after swap: [-87, -84, 4, -79, 37, 34, -75, -23, 15, 78]

Pass 2:
  Compare -87 and -84
  No swap needed
  Compare -84 and 4
  No swap needed
  Compare 4 and -79
  Swap 4 and -79
  List after swap: [-87, -84, -79, 4, 37, 34, -75, -23, 15, 78]
  Compare 4 and 37
  No swap needed
  Compare 37 and 34
  Swap 37 and 34
  List after swap: [-87, -84, -79, 4, 34, 37, -75, -23, 15, 78]
  Compare 37 and -75
  Swap 37 and -75
  List after swap: [-87, -84, -79, 4, 34, -75, 37, -23, 15, 78]
  Compare 37 and -23
  Swap 37 and -23
  List after swap: [-87, -84, -79, 4, 34, -75, -23, 37, 15, 78]
  Compare 37 and 15
  Swap 37 and 15
  List after swap: [-87, -84, -79, 4, 34, -75, -23, 15, 37, 78]

Pass 3:
  Compare -87 and -84
  No swap needed
  Compare -84 and -79
  No swap needed
  Compare -79 and 4
  No swap needed
  Compare 4 and 34
  No swap needed
  Compare 34 and -75
  Swap 34 and -75
  List after swap: [-87, -84, -79, 4, -75, 34, -23, 15, 37, 78]
  Compare 34 and -23
  Swap 34 and -23
  List after swap: [-87, -84, -79, 4, -75, -23, 34, 15, 37, 78]
  Compare 34 and 15
  Swap 34 and 15
  List after swap: [-87, -84, -79, 4, -75, -23, 15, 34, 37, 78]

Pass 4:
  Compare -87 and -84
  No swap needed
  Compare -84 and -79
  No swap needed
  Compare -79 and 4
  No swap needed
  Compare 4 and -75
  Swap 4 and -75
  List after swap: [-87, -84, -79, -75, 4, -23, 15, 34, 37, 78]
  Compare 4 and -23
  Swap 4 and -23
  List after swap: [-87, -84, -79, -75, -23, 4, 15, 34, 37, 78]
  Compare 4 and 15
  No swap needed

Pass 5:
  Compare -87 and -84
  No swap needed
  Compare -84 and -79
  No swap needed
  Compare -79 and -75
  No swap needed
  Compare -75 and -23
  No swap needed
  Compare -23 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -84, -79, -75, -23, 4, 15, 34, 37, 78]
</think>

<response>-87, -84, -79, -75, -23, 4, 15, 34, 37, 78</response>


input: Arrange the numbers -25, 63, -67 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-25, 63, -67]

Pass 1:
  Compare -25 and 63
  No swap needed
  Compare 63 and -67
  Swap 63 and -67
  List after swap: [-25, -67, 63]

Pass 2:
  Compare -25 and -67
  Swap -25 and -67
  List after swap: [-67, -25, 63]

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

Final sorted list: [-67, -25, 63]
</think>

<response>-67, -25, 63</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 37, -55, -34, -81, -96, -82, 19.

output:
<think>
Initial list: [37, -55, -34, -81, -96, -82, 19]

Pass 1:
  Compare 37 and -55
  Swap 37 and -55
  List after swap: [-55, 37, -34, -81, -96, -82, 19]
  Compare 37 and -34
  Swap 37 and -34
  List after swap: [-55, -34, 37, -81, -96, -82, 19]
  Compare 37 and -81
  Swap 37 and -81
  List after swap: [-55, -34, -81, 37, -96, -82, 19]
  Compare 37 and -96
  Swap 37 and -96
  List after swap: [-55, -34, -81, -96, 37, -82, 19]
  Compare 37 and -82
  Swap 37 and -82
  List after swap: [-55, -34, -81, -96, -82, 37, 19]
  Compare 37 and 19
  Swap 37 and 19
  List after swap: [-55, -34, -81, -96, -82, 19, 37]

Pass 2:
  Compare -55 and -34
  No swap needed
  Compare -34 and -81
  Swap -34 and -81
  List after swap: [-55, -81, -34, -96, -82, 19, 37]
  Compare -34 and -96
  Swap -34 and -96
  List after swap: [-55, -81, -96, -34, -82, 19, 37]
  Compare -34 and -82
  Swap -34 and -82
  List after swap: [-55, -81, -96, -82, -34, 19, 37]
  Compare -34 and 19
  No swap needed

Pass 3:
  Compare -55 and -81
  Swap -55 and -81
  List after swap: [-81, -55, -96, -82, -34, 19, 37]
  Compare -55 and -96
  Swap -55 and -96
  List after swap: [-81, -96, -55, -82, -34, 19, 37]
  Compare -55 and -82
  Swap -55 and -82
  List after swap: [-81, -96, -82, -55, -34, 19, 37]
  Compare -55 and -34
  No swap needed

Pass 4:
  Compare -81 and -96
  Swap -81 and -96
  List after swap: [-96, -81, -82, -55, -34, 19, 37]
  Compare -81 and -82
  Swap -81 and -82
  List after swap: [-96, -82, -81, -55, -34, 19, 37]
  Compare -81 and -55
  No swap needed

Pass 5:
  Compare -96 and -82
  No swap needed
  Compare -82 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -82, -81, -55, -34, 19, 37]
</think>

<response>-96, -82, -81, -55, -34, 19, 37</response>


input: Carry out the bubble sort algorithm on -96, 82, -69, -39, -35, 88, -42, -20 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-96, 82, -69, -39, -35, 88, -42, -20]

Pass 1:
  Compare -96 and 82
  No swap needed
  Compare 82 and -69
  Swap 82 and -69
  List after swap: [-96, -69, 82, -39, -35, 88, -42, -20]
  Compare 82 and -39
  Swap 82 and -39
  List after swap: [-96, -69, -39, 82, -35, 88, -42, -20]
  Compare 82 and -35
  Swap 82 and -35
  List after swap: [-96, -69, -39, -35, 82, 88, -42, -20]
  Compare 82 and 88
  No swap needed
  Compare 88 and -42
  Swap 88 and -42
  List after swap: [-96, -69, -39, -35, 82, -42, 88, -20]
  Compare 88 and -20
  Swap 88 and -20
  List after swap: [-96, -69, -39, -35, 82, -42, -20, 88]

Pass 2:
  Compare -96 and -69
  No swap needed
  Compare -69 and -39
  No swap needed
  Compare -39 and -35
  No swap needed
  Compare -35 and 82
  No swap needed
  Compare 82 and -42
  Swap 82 and -42
  List after swap: [-96, -69, -39, -35, -42, 82, -20, 88]
  Compare 82 and -20
  Swap 82 and -20
  List after swap: [-96, -69, -39, -35, -42, -20, 82, 88]

Pass 3:
  Compare -96 and -69
  No swap needed
  Compare -69 and -39
  No swap needed
  Compare -39 and -35
  No swap needed
  Compare -35 and -42
  Swap -35 and -42
  List after swap: [-96, -69, -39, -42, -35, -20, 82, 88]
  Compare -35 and -20
  No swap needed

Pass 4:
  Compare -96 and -69
  No swap needed
  Compare -69 and -39
  No swap needed
  Compare -39 and -42
  Swap -39 and -42
  List after swap: [-96, -69, -42, -39, -35, -20, 82, 88]
  Compare -39 and -35
  No swap needed

Pass 5:
  Compare -96 and -69
  No swap needed
  Compare -69 and -42
  No swap needed
  Compare -42 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -69, -42, -39, -35, -20, 82, 88]
</think>

<response>-96, -69, -42, -39, -35, -20, 82, 88</response>


input: Implement bubble sort on -54, 72, 64, -11, 99, -65, 22, -88 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-54, 72, 64, -11, 99, -65, 22, -88]

Pass 1:
  Compare -54 and 72
  No swap needed
  Compare 72 and 64
  Swap 72 and 64
  List after swap: [-54, 64, 72, -11, 99, -65, 22, -88]
  Compare 72 and -11
  Swap 72 and -11
  List after swap: [-54, 64, -11, 72, 99, -65, 22, -88]
  Compare 72 and 99
  No swap needed
  Compare 99 and -65
  Swap 99 and -65
  List after swap: [-54, 64, -11, 72, -65, 99, 22, -88]
  Compare 99 and 22
  Swap 99 and 22
  List after swap: [-54, 64, -11, 72, -65, 22, 99, -88]
  Compare 99 and -88
  Swap 99 and -88
  List after swap: [-54, 64, -11, 72, -65, 22, -88, 99]

Pass 2:
  Compare -54 and 64
  No swap needed
  Compare 64 and -11
  Swap 64 and -11
  List after swap: [-54, -11, 64, 72, -65, 22, -88, 99]
  Compare 64 and 72
  No swap needed
  Compare 72 and -65
  Swap 72 and -65
  List after swap: [-54, -11, 64, -65, 72, 22, -88, 99]
  Compare 72 and 22
  Swap 72 and 22
  List after swap: [-54, -11, 64, -65, 22, 72, -88, 99]
  Compare 72 and -88
  Swap 72 and -88
  List after swap: [-54, -11, 64, -65, 22, -88, 72, 99]

Pass 3:
  Compare -54 and -11
  No swap needed
  Compare -11 and 64
  No swap needed
  Compare 64 and -65
  Swap 64 and -65
  List after swap: [-54, -11, -65, 64, 22, -88, 72, 99]
  Compare 64 and 22
  Swap 64 and 22
  List after swap: [-54, -11, -65, 22, 64, -88, 72, 99]
  Compare 64 and -88
  Swap 64 and -88
  List after swap: [-54, -11, -65, 22, -88, 64, 72, 99]

Pass 4:
  Compare -54 and -11
  No swap needed
  Compare -11 and -65
  Swap -11 and -65
  List after swap: [-54, -65, -11, 22, -88, 64, 72, 99]
  Compare -11 and 22
  No swap needed
  Compare 22 and -88
  Swap 22 and -88
  List after swap: [-54, -65, -11, -88, 22, 64, 72, 99]

Pass 5:
  Compare -54 and -65
  Swap -54 and -65
  List after swap: [-65, -54, -11, -88, 22, 64, 72, 99]
  Compare -54 and -11
  No swap needed
  Compare -11 and -88
  Swap -11 and -88
  List after swap: [-65, -54, -88, -11, 22, 64, 72, 99]

Pass 6:
  Compare -65 and -54
  No swap needed
  Compare -54 and -88
  Swap -54 and -88
  List after swap: [-65, -88, -54, -11, 22, 64, 72, 99]

Pass 7:
  Compare -65 and -88
  Swap -65 and -88
  List after swap: [-88, -65, -54, -11, 22, 64, 72, 99]

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

Final sorted list: [-88, -65, -54, -11, 22, 64, 72, 99]
</think>

<response>-88, -65, -54, -11, 22, 64, 72, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 2, -94, -34, 31, 30, 43, 60.

output:
<think>
Initial list: [2, -94, -34, 31, 30, 43, 60]

Pass 1:
  Compare 2 and -94
  Swap 2 and -94
  List after swap: [-94, 2, -34, 31, 30, 43, 60]
  Compare 2 and -34
  Swap 2 and -34
  List after swap: [-94, -34, 2, 31, 30, 43, 60]
  Compare 2 and 31
  No swap needed
  Compare 31 and 30
  Swap 31 and 30
  List after swap: [-94, -34, 2, 30, 31, 43, 60]
  Compare 31 and 43
  No swap needed
  Compare 43 and 60
  No swap needed

Pass 2:
  Compare -94 and -34
  No swap needed
  Compare -34 and 2
  No swap needed
  Compare 2 and 30
  No swap needed
  Compare 30 and 31
  No swap needed
  Compare 31 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -34, 2, 30, 31, 43, 60]
</think>

<response>-94, -34, 2, 30, 31, 43, 60</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 92, -90, -25, -43, -6, 59, -26, 13.

output:
<think>
Initial list: [92, -90, -25, -43, -6, 59, -26, 13]

Pass 1:
  Compare 92 and -90
  Swap 92 and -90
  List after swap: [-90, 92, -25, -43, -6, 59, -26, 13]
  Compare 92 and -25
  Swap 92 and -25
  List after swap: [-90, -25, 92, -43, -6, 59, -26, 13]
  Compare 92 and -43
  Swap 92 and -43
  List after swap: [-90, -25, -43, 92, -6, 59, -26, 13]
  Compare 92 and -6
  Swap 92 and -6
  List after swap: [-90, -25, -43, -6, 92, 59, -26, 13]
  Compare 92 and 59
  Swap 92 and 59
  List after swap: [-90, -25, -43, -6, 59, 92, -26, 13]
  Compare 92 and -26
  Swap 92 and -26
  List after swap: [-90, -25, -43, -6, 59, -26, 92, 13]
  Compare 92 and 13
  Swap 92 and 13
  List after swap: [-90, -25, -43, -6, 59, -26, 13, 92]

Pass 2:
  Compare -90 and -25
  No swap needed
  Compare -25 and -43
  Swap -25 and -43
  List after swap: [-90, -43, -25, -6, 59, -26, 13, 92]
  Compare -25 and -6
  No swap needed
  Compare -6 and 59
  No swap needed
  Compare 59 and -26
  Swap 59 and -26
  List after swap: [-90, -43, -25, -6, -26, 59, 13, 92]
  Compare 59 and 13
  Swap 59 and 13
  List after swap: [-90, -43, -25, -6, -26, 13, 59, 92]

Pass 3:
  Compare -90 and -43
  No swap needed
  Compare -43 and -25
  No swap needed
  Compare -25 and -6
  No swap needed
  Compare -6 and -26
  Swap -6 and -26
  List after swap: [-90, -43, -25, -26, -6, 13, 59, 92]
  Compare -6 and 13
  No swap needed

Pass 4:
  Compare -90 and -43
  No swap needed
  Compare -43 and -25
  No swap needed
  Compare -25 and -26
  Swap -25 and -26
  List after swap: [-90, -43, -26, -25, -6, 13, 59, 92]
  Compare -25 and -6
  No swap needed

Pass 5:
  Compare -90 and -43
  No swap needed
  Compare -43 and -26
  No swap needed
  Compare -26 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -43, -26, -25, -6, 13, 59, 92]
</think>

<response>-90, -43, -26, -25, -6, 13, 59, 92</response>


input: Arrange the numbers 46, 24, 61, -96, 53, -88, 99, -100, 29, -15 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [46, 24, 61, -96, 53, -88, 99, -100, 29, -15]

Pass 1:
  Compare 46 and 24
  Swap 46 and 24
  List after swap: [24, 46, 61, -96, 53, -88, 99, -100, 29, -15]
  Compare 46 and 61
  No swap needed
  Compare 61 and -96
  Swap 61 and -96
  List after swap: [24, 46, -96, 61, 53, -88, 99, -100, 29, -15]
  Compare 61 and 53
  Swap 61 and 53
  List after swap: [24, 46, -96, 53, 61, -88, 99, -100, 29, -15]
  Compare 61 and -88
  Swap 61 and -88
  List after swap: [24, 46, -96, 53, -88, 61, 99, -100, 29, -15]
  Compare 61 and 99
  No swap needed
  Compare 99 and -100
  Swap 99 and -100
  List after swap: [24, 46, -96, 53, -88, 61, -100, 99, 29, -15]
  Compare 99 and 29
  Swap 99 and 29
  List after swap: [24, 46, -96, 53, -88, 61, -100, 29, 99, -15]
  Compare 99 and -15
  Swap 99 and -15
  List after swap: [24, 46, -96, 53, -88, 61, -100, 29, -15, 99]

Pass 2:
  Compare 24 and 46
  No swap needed
  Compare 46 and -96
  Swap 46 and -96
  List after swap: [24, -96, 46, 53, -88, 61, -100, 29, -15, 99]
  Compare 46 and 53
  No swap needed
  Compare 53 and -88
  Swap 53 and -88
  List after swap: [24, -96, 46, -88, 53, 61, -100, 29, -15, 99]
  Compare 53 and 61
  No swap needed
  Compare 61 and -100
  Swap 61 and -100
  List after swap: [24, -96, 46, -88, 53, -100, 61, 29, -15, 99]
  Compare 61 and 29
  Swap 61 and 29
  List after swap: [24, -96, 46, -88, 53, -100, 29, 61, -15, 99]
  Compare 61 and -15
  Swap 61 and -15
  List after swap: [24, -96, 46, -88, 53, -100, 29, -15, 61, 99]

Pass 3:
  Compare 24 and -96
  Swap 24 and -96
  List after swap: [-96, 24, 46, -88, 53, -100, 29, -15, 61, 99]
  Compare 24 and 46
  No swap needed
  Compare 46 and -88
  Swap 46 and -88
  List after swap: [-96, 24, -88, 46, 53, -100, 29, -15, 61, 99]
  Compare 46 and 53
  No swap needed
  Compare 53 and -100
  Swap 53 and -100
  List after swap: [-96, 24, -88, 46, -100, 53, 29, -15, 61, 99]
  Compare 53 and 29
  Swap 53 and 29
  List after swap: [-96, 24, -88, 46, -100, 29, 53, -15, 61, 99]
  Compare 53 and -15
  Swap 53 and -15
  List after swap: [-96, 24, -88, 46, -100, 29, -15, 53, 61, 99]

Pass 4:
  Compare -96 and 24
  No swap needed
  Compare 24 and -88
  Swap 24 and -88
  List after swap: [-96, -88, 24, 46, -100, 29, -15, 53, 61, 99]
  Compare 24 and 46
  No swap needed
  Compare 46 and -100
  Swap 46 and -100
  List after swap: [-96, -88, 24, -100, 46, 29, -15, 53, 61, 99]
  Compare 46 and 29
  Swap 46 and 29
  List after swap: [-96, -88, 24, -100, 29, 46, -15, 53, 61, 99]
  Compare 46 and -15
  Swap 46 and -15
  List after swap: [-96, -88, 24, -100, 29, -15, 46, 53, 61, 99]

Pass 5:
  Compare -96 and -88
  No swap needed
  Compare -88 and 24
  No swap needed
  Compare 24 and -100
  Swap 24 and -100
  List after swap: [-96, -88, -100, 24, 29, -15, 46, 53, 61, 99]
  Compare 24 and 29
  No swap needed
  Compare 29 and -15
  Swap 29 and -15
  List after swap: [-96, -88, -100, 24, -15, 29, 46, 53, 61, 99]

Pass 6:
  Compare -96 and -88
  No swap needed
  Compare -88 and -100
  Swap -88 and -100
  List after swap: [-96, -100, -88, 24, -15, 29, 46, 53, 61, 99]
  Compare -88 and 24
  No swap needed
  Compare 24 and -15
  Swap 24 and -15
  List after swap: [-96, -100, -88, -15, 24, 29, 46, 53, 61, 99]

Pass 7:
  Compare -96 and -100
  Swap -96 and -100
  List after swap: [-100, -96, -88, -15, 24, 29, 46, 53, 61, 99]
  Compare -96 and -88
  No swap needed
  Compare -88 and -15
  No swap needed

Pass 8:
  Compare -100 and -96
  No swap needed
  Compare -96 and -88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -96, -88, -15, 24, 29, 46, 53, 61, 99]
</think>

<response>-100, -96, -88, -15, 24, 29, 46, 53, 61, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 55, 26, 27.

output:
<think>
Initial list: [55, 26, 27]

Pass 1:
  Compare 55 and 26
  Swap 55 and 26
  List after swap: [26, 55, 27]
  Compare 55 and 27
  Swap 55 and 27
  List after swap: [26, 27, 55]

Pass 2:
  Compare 26 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [26, 27, 55]
</think>

<response>26, 27, 55</response>


input: Use the bubble sort technique to reorder -35, -21, -16, -95, 65, -9, 95, 58, 43, -85 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-35, -21, -16, -95, 65, -9, 95, 58, 43, -85]

Pass 1:
  Compare -35 and -21
  No swap needed
  Compare -21 and -16
  No swap needed
  Compare -16 and -95
  Swap -16 and -95
  List after swap: [-35, -21, -95, -16, 65, -9, 95, 58, 43, -85]
  Compare -16 and 65
  No swap needed
  Compare 65 and -9
  Swap 65 and -9
  List after swap: [-35, -21, -95, -16, -9, 65, 95, 58, 43, -85]
  Compare 65 and 95
  No swap needed
  Compare 95 and 58
  Swap 95 and 58
  List after swap: [-35, -21, -95, -16, -9, 65, 58, 95, 43, -85]
  Compare 95 and 43
  Swap 95 and 43
  List after swap: [-35, -21, -95, -16, -9, 65, 58, 43, 95, -85]
  Compare 95 and -85
  Swap 95 and -85
  List after swap: [-35, -21, -95, -16, -9, 65, 58, 43, -85, 95]

Pass 2:
  Compare -35 and -21
  No swap needed
  Compare -21 and -95
  Swap -21 and -95
  List after swap: [-35, -95, -21, -16, -9, 65, 58, 43, -85, 95]
  Compare -21 and -16
  No swap needed
  Compare -16 and -9
  No swap needed
  Compare -9 and 65
  No swap needed
  Compare 65 and 58
  Swap 65 and 58
  List after swap: [-35, -95, -21, -16, -9, 58, 65, 43, -85, 95]
  Compare 65 and 43
  Swap 65 and 43
  List after swap: [-35, -95, -21, -16, -9, 58, 43, 65, -85, 95]
  Compare 65 and -85
  Swap 65 and -85
  List after swap: [-35, -95, -21, -16, -9, 58, 43, -85, 65, 95]

Pass 3:
  Compare -35 and -95
  Swap -35 and -95
  List after swap: [-95, -35, -21, -16, -9, 58, 43, -85, 65, 95]
  Compare -35 and -21
  No swap needed
  Compare -21 and -16
  No swap needed
  Compare -16 and -9
  No swap needed
  Compare -9 and 58
  No swap needed
  Compare 58 and 43
  Swap 58 and 43
  List after swap: [-95, -35, -21, -16, -9, 43, 58, -85, 65, 95]
  Compare 58 and -85
  Swap 58 and -85
  List after swap: [-95, -35, -21, -16, -9, 43, -85, 58, 65, 95]

Pass 4:
  Compare -95 and -35
  No swap needed
  Compare -35 and -21
  No swap needed
  Compare -21 and -16
  No swap needed
  Compare -16 and -9
  No swap needed
  Compare -9 and 43
  No swap needed
  Compare 43 and -85
  Swap 43 and -85
  List after swap: [-95, -35, -21, -16, -9, -85, 43, 58, 65, 95]

Pass 5:
  Compare -95 and -35
  No swap needed
  Compare -35 and -21
  No swap needed
  Compare -21 and -16
  No swap needed
  Compare -16 and -9
  No swap needed
  Compare -9 and -85
  Swap -9 and -85
  List after swap: [-95, -35, -21, -16, -85, -9, 43, 58, 65, 95]

Pass 6:
  Compare -95 and -35
  No swap needed
  Compare -35 and -21
  No swap needed
  Compare -21 and -16
  No swap needed
  Compare -16 and -85
  Swap -16 and -85
  List after swap: [-95, -35, -21, -85, -16, -9, 43, 58, 65, 95]

Pass 7:
  Compare -95 and -35
  No swap needed
  Compare -35 and -21
  No swap needed
  Compare -21 and -85
  Swap -21 and -85
  List after swap: [-95, -35, -85, -21, -16, -9, 43, 58, 65, 95]

Pass 8:
  Compare -95 and -35
  No swap needed
  Compare -35 and -85
  Swap -35 and -85
  List after swap: [-95, -85, -35, -21, -16, -9, 43, 58, 65, 95]

Pass 9:
  Compare -95 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -85, -35, -21, -16, -9, 43, 58, 65, 95]
</think>

<response>-95, -85, -35, -21, -16, -9, 43, 58, 65, 95</response>


input: Use the bubble sort technique to reorder -7, -9, -45, -42, -64 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-7, -9, -45, -42, -64]

Pass 1:
  Compare -7 and -9
  Swap -7 and -9
  List after swap: [-9, -7, -45, -42, -64]
  Compare -7 and -45
  Swap -7 and -45
  List after swap: [-9, -45, -7, -42, -64]
  Compare -7 and -42
  Swap -7 and -42
  List after swap: [-9, -45, -42, -7, -64]
  Compare -7 and -64
  Swap -7 and -64
  List after swap: [-9, -45, -42, -64, -7]

Pass 2:
  Compare -9 and -45
  Swap -9 and -45
  List after swap: [-45, -9, -42, -64, -7]
  Compare -9 and -42
  Swap -9 and -42
  List after swap: [-45, -42, -9, -64, -7]
  Compare -9 and -64
  Swap -9 and -64
  List after swap: [-45, -42, -64, -9, -7]

Pass 3:
  Compare -45 and -42
  No swap needed
  Compare -42 and -64
  Swap -42 and -64
  List after swap: [-45, -64, -42, -9, -7]

Pass 4:
  Compare -45 and -64
  Swap -45 and -64
  List after swap: [-64, -45, -42, -9, -7]

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

Final sorted list: [-64, -45, -42, -9, -7]
</think>

<response>-64, -45, -42, -9, -7</response>


input: Sort these integers -79, 66, -2, -25, 94, 63, -78, -56, -84, -61 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-79, 66, -2, -25, 94, 63, -78, -56, -84, -61]

Pass 1:
  Compare -79 and 66
  No swap needed
  Compare 66 and -2
  Swap 66 and -2
  List after swap: [-79, -2, 66, -25, 94, 63, -78, -56, -84, -61]
  Compare 66 and -25
  Swap 66 and -25
  List after swap: [-79, -2, -25, 66, 94, 63, -78, -56, -84, -61]
  Compare 66 and 94
  No swap needed
  Compare 94 and 63
  Swap 94 and 63
  List after swap: [-79, -2, -25, 66, 63, 94, -78, -56, -84, -61]
  Compare 94 and -78
  Swap 94 and -78
  List after swap: [-79, -2, -25, 66, 63, -78, 94, -56, -84, -61]
  Compare 94 and -56
  Swap 94 and -56
  List after swap: [-79, -2, -25, 66, 63, -78, -56, 94, -84, -61]
  Compare 94 and -84
  Swap 94 and -84
  List after swap: [-79, -2, -25, 66, 63, -78, -56, -84, 94, -61]
  Compare 94 and -61
  Swap 94 and -61
  List after swap: [-79, -2, -25, 66, 63, -78, -56, -84, -61, 94]

Pass 2:
  Compare -79 and -2
  No swap needed
  Compare -2 and -25
  Swap -2 and -25
  List after swap: [-79, -25, -2, 66, 63, -78, -56, -84, -61, 94]
  Compare -2 and 66
  No swap needed
  Compare 66 and 63
  Swap 66 and 63
  List after swap: [-79, -25, -2, 63, 66, -78, -56, -84, -61, 94]
  Compare 66 and -78
  Swap 66 and -78
  List after swap: [-79, -25, -2, 63, -78, 66, -56, -84, -61, 94]
  Compare 66 and -56
  Swap 66 and -56
  List after swap: [-79, -25, -2, 63, -78, -56, 66, -84, -61, 94]
  Compare 66 and -84
  Swap 66 and -84
  List after swap: [-79, -25, -2, 63, -78, -56, -84, 66, -61, 94]
  Compare 66 and -61
  Swap 66 and -61
  List after swap: [-79, -25, -2, 63, -78, -56, -84, -61, 66, 94]

Pass 3:
  Compare -79 and -25
  No swap needed
  Compare -25 and -2
  No swap needed
  Compare -2 and 63
  No swap needed
  Compare 63 and -78
  Swap 63 and -78
  List after swap: [-79, -25, -2, -78, 63, -56, -84, -61, 66, 94]
  Compare 63 and -56
  Swap 63 and -56
  List after swap: [-79, -25, -2, -78, -56, 63, -84, -61, 66, 94]
  Compare 63 and -84
  Swap 63 and -84
  List after swap: [-79, -25, -2, -78, -56, -84, 63, -61, 66, 94]
  Compare 63 and -61
  Swap 63 and -61
  List after swap: [-79, -25, -2, -78, -56, -84, -61, 63, 66, 94]

Pass 4:
  Compare -79 and -25
  No swap needed
  Compare -25 and -2
  No swap needed
  Compare -2 and -78
  Swap -2 and -78
  List after swap: [-79, -25, -78, -2, -56, -84, -61, 63, 66, 94]
  Compare -2 and -56
  Swap -2 and -56
  List after swap: [-79, -25, -78, -56, -2, -84, -61, 63, 66, 94]
  Compare -2 and -84
  Swap -2 and -84
  List after swap: [-79, -25, -78, -56, -84, -2, -61, 63, 66, 94]
  Compare -2 and -61
  Swap -2 and -61
  List after swap: [-79, -25, -78, -56, -84, -61, -2, 63, 66, 94]

Pass 5:
  Compare -79 and -25
  No swap needed
  Compare -25 and -78
  Swap -25 and -78
  List after swap: [-79, -78, -25, -56, -84, -61, -2, 63, 66, 94]
  Compare -25 and -56
  Swap -25 and -56
  List after swap: [-79, -78, -56, -25, -84, -61, -2, 63, 66, 94]
  Compare -25 and -84
  Swap -25 and -84
  List after swap: [-79, -78, -56, -84, -25, -61, -2, 63, 66, 94]
  Compare -25 and -61
  Swap -25 and -61
  List after swap: [-79, -78, -56, -84, -61, -25, -2, 63, 66, 94]

Pass 6:
  Compare -79 and -78
  No swap needed
  Compare -78 and -56
  No swap needed
  Compare -56 and -84
  Swap -56 and -84
  List after swap: [-79, -78, -84, -56, -61, -25, -2, 63, 66, 94]
  Compare -56 and -61
  Swap -56 and -61
  List after swap: [-79, -78, -84, -61, -56, -25, -2, 63, 66, 94]

Pass 7:
  Compare -79 and -78
  No swap needed
  Compare -78 and -84
  Swap -78 and -84
  List after swap: [-79, -84, -78, -61, -56, -25, -2, 63, 66, 94]
  Compare -78 and -61
  No swap needed

Pass 8:
  Compare -79 and -84
  Swap -79 and -84
  List after swap: [-84, -79, -78, -61, -56, -25, -2, 63, 66, 94]
  Compare -79 and -78
  No swap needed

Pass 9:
  Compare -84 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -79, -78, -61, -56, -25, -2, 63, 66, 94]
</think>

<response>-84, -79, -78, -61, -56, -25, -2, 63, 66, 94</response>


input: Execute bubble sort to sort -64, 40, 26, -37, -94, 31, 3, 46 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-64, 40, 26, -37, -94, 31, 3, 46]

Pass 1:
  Compare -64 and 40
  No swap needed
  Compare 40 and 26
  Swap 40 and 26
  List after swap: [-64, 26, 40, -37, -94, 31, 3, 46]
  Compare 40 and -37
  Swap 40 and -37
  List after swap: [-64, 26, -37, 40, -94, 31, 3, 46]
  Compare 40 and -94
  Swap 40 and -94
  List after swap: [-64, 26, -37, -94, 40, 31, 3, 46]
  Compare 40 and 31
  Swap 40 and 31
  List after swap: [-64, 26, -37, -94, 31, 40, 3, 46]
  Compare 40 and 3
  Swap 40 and 3
  List after swap: [-64, 26, -37, -94, 31, 3, 40, 46]
  Compare 40 and 46
  No swap needed

Pass 2:
  Compare -64 and 26
  No swap needed
  Compare 26 and -37
  Swap 26 and -37
  List after swap: [-64, -37, 26, -94, 31, 3, 40, 46]
  Compare 26 and -94
  Swap 26 and -94
  List after swap: [-64, -37, -94, 26, 31, 3, 40, 46]
  Compare 26 and 31
  No swap needed
  Compare 31 and 3
  Swap 31 and 3
  List after swap: [-64, -37, -94, 26, 3, 31, 40, 46]
  Compare 31 and 40
  No swap needed

Pass 3:
  Compare -64 and -37
  No swap needed
  Compare -37 and -94
  Swap -37 and -94
  List after swap: [-64, -94, -37, 26, 3, 31, 40, 46]
  Compare -37 and 26
  No swap needed
  Compare 26 and 3
  Swap 26 and 3
  List after swap: [-64, -94, -37, 3, 26, 31, 40, 46]
  Compare 26 and 31
  No swap needed

Pass 4:
  Compare -64 and -94
  Swap -64 and -94
  List after swap: [-94, -64, -37, 3, 26, 31, 40, 46]
  Compare -64 and -37
  No swap needed
  Compare -37 and 3
  No swap needed
  Compare 3 and 26
  No swap needed

Pass 5:
  Compare -94 and -64
  No swap needed
  Compare -64 and -37
  No swap needed
  Compare -37 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -64, -37, 3, 26, 31, 40, 46]
</think>

<response>-94, -64, -37, 3, 26, 31, 40, 46</response>


input: Use the bubble sort technique to reorder -39, 37, 69, 61, 23, 72, 90, -78, 14 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-39, 37, 69, 61, 23, 72, 90, -78, 14]

Pass 1:
  Compare -39 and 37
  No swap needed
  Compare 37 and 69
  No swap needed
  Compare 69 and 61
  Swap 69 and 61
  List after swap: [-39, 37, 61, 69, 23, 72, 90, -78, 14]
  Compare 69 and 23
  Swap 69 and 23
  List after swap: [-39, 37, 61, 23, 69, 72, 90, -78, 14]
  Compare 69 and 72
  No swap needed
  Compare 72 and 90
  No swap needed
  Compare 90 and -78
  Swap 90 and -78
  List after swap: [-39, 37, 61, 23, 69, 72, -78, 90, 14]
  Compare 90 and 14
  Swap 90 and 14
  List after swap: [-39, 37, 61, 23, 69, 72, -78, 14, 90]

Pass 2:
  Compare -39 and 37
  No swap needed
  Compare 37 and 61
  No swap needed
  Compare 61 and 23
  Swap 61 and 23
  List after swap: [-39, 37, 23, 61, 69, 72, -78, 14, 90]
  Compare 61 and 69
  No swap needed
  Compare 69 and 72
  No swap needed
  Compare 72 and -78
  Swap 72 and -78
  List after swap: [-39, 37, 23, 61, 69, -78, 72, 14, 90]
  Compare 72 and 14
  Swap 72 and 14
  List after swap: [-39, 37, 23, 61, 69, -78, 14, 72, 90]

Pass 3:
  Compare -39 and 37
  No swap needed
  Compare 37 and 23
  Swap 37 and 23
  List after swap: [-39, 23, 37, 61, 69, -78, 14, 72, 90]
  Compare 37 and 61
  No swap needed
  Compare 61 and 69
  No swap needed
  Compare 69 and -78
  Swap 69 and -78
  List after swap: [-39, 23, 37, 61, -78, 69, 14, 72, 90]
  Compare 69 and 14
  Swap 69 and 14
  List after swap: [-39, 23, 37, 61, -78, 14, 69, 72, 90]

Pass 4:
  Compare -39 and 23
  No swap needed
  Compare 23 and 37
  No swap needed
  Compare 37 and 61
  No swap needed
  Compare 61 and -78
  Swap 61 and -78
  List after swap: [-39, 23, 37, -78, 61, 14, 69, 72, 90]
  Compare 61 and 14
  Swap 61 and 14
  List after swap: [-39, 23, 37, -78, 14, 61, 69, 72, 90]

Pass 5:
  Compare -39 and 23
  No swap needed
  Compare 23 and 37
  No swap needed
  Compare 37 and -78
  Swap 37 and -78
  List after swap: [-39, 23, -78, 37, 14, 61, 69, 72, 90]
  Compare 37 and 14
  Swap 37 and 14
  List after swap: [-39, 23, -78, 14, 37, 61, 69, 72, 90]

Pass 6:
  Compare -39 and 23
  No swap needed
  Compare 23 and -78
  Swap 23 and -78
  List after swap: [-39, -78, 23, 14, 37, 61, 69, 72, 90]
  Compare 23 and 14
  Swap 23 and 14
  List after swap: [-39, -78, 14, 23, 37, 61, 69, 72, 90]

Pass 7:
  Compare -39 and -78
  Swap -39 and -78
  List after swap: [-78, -39, 14, 23, 37, 61, 69, 72, 90]
  Compare -39 and 14
  No swap needed

Pass 8:
  Compare -78 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -39, 14, 23, 37, 61, 69, 72, 90]
</think>

<response>-78, -39, 14, 23, 37, 61, 69, 72, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -32, -37, -24, -36, 56, -49, 30.

output:
<think>
Initial list: [-32, -37, -24, -36, 56, -49, 30]

Pass 1:
  Compare -32 and -37
  Swap -32 and -37
  List after swap: [-37, -32, -24, -36, 56, -49, 30]
  Compare -32 and -24
  No swap needed
  Compare -24 and -36
  Swap -24 and -36
  List after swap: [-37, -32, -36, -24, 56, -49, 30]
  Compare -24 and 56
  No swap needed
  Compare 56 and -49
  Swap 56 and -49
  List after swap: [-37, -32, -36, -24, -49, 56, 30]
  Compare 56 and 30
  Swap 56 and 30
  List after swap: [-37, -32, -36, -24, -49, 30, 56]

Pass 2:
  Compare -37 and -32
  No swap needed
  Compare -32 and -36
  Swap -32 and -36
  List after swap: [-37, -36, -32, -24, -49, 30, 56]
  Compare -32 and -24
  No swap needed
  Compare -24 and -49
  Swap -24 and -49
  List after swap: [-37, -36, -32, -49, -24, 30, 56]
  Compare -24 and 30
  No swap needed

Pass 3:
  Compare -37 and -36
  No swap needed
  Compare -36 and -32
  No swap needed
  Compare -32 and -49
  Swap -32 and -49
  List after swap: [-37, -36, -49, -32, -24, 30, 56]
  Compare -32 and -24
  No swap needed

Pass 4:
  Compare -37 and -36
  No swap needed
  Compare -36 and -49
  Swap -36 and -49
  List after swap: [-37, -49, -36, -32, -24, 30, 56]
  Compare -36 and -32
  No swap needed

Pass 5:
  Compare -37 and -49
  Swap -37 and -49
  List after swap: [-49, -37, -36, -32, -24, 30, 56]
  Compare -37 and -36
  No swap needed

Pass 6:
  Compare -49 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -37, -36, -32, -24, 30, 56]
</think>

<response>-49, -37, -36, -32, -24, 30, 56</response>


input: Using the bubble sort method, sort -68, 4, 73, -8, 56, -74, -18, 88, -16, -90 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-68, 4, 73, -8, 56, -74, -18, 88, -16, -90]

Pass 1:
  Compare -68 and 4
  No swap needed
  Compare 4 and 73
  No swap needed
  Compare 73 and -8
  Swap 73 and -8
  List after swap: [-68, 4, -8, 73, 56, -74, -18, 88, -16, -90]
  Compare 73 and 56
  Swap 73 and 56
  List after swap: [-68, 4, -8, 56, 73, -74, -18, 88, -16, -90]
  Compare 73 and -74
  Swap 73 and -74
  List after swap: [-68, 4, -8, 56, -74, 73, -18, 88, -16, -90]
  Compare 73 and -18
  Swap 73 and -18
  List after swap: [-68, 4, -8, 56, -74, -18, 73, 88, -16, -90]
  Compare 73 and 88
  No swap needed
  Compare 88 and -16
  Swap 88 and -16
  List after swap: [-68, 4, -8, 56, -74, -18, 73, -16, 88, -90]
  Compare 88 and -90
  Swap 88 and -90
  List after swap: [-68, 4, -8, 56, -74, -18, 73, -16, -90, 88]

Pass 2:
  Compare -68 and 4
  No swap needed
  Compare 4 and -8
  Swap 4 and -8
  List after swap: [-68, -8, 4, 56, -74, -18, 73, -16, -90, 88]
  Compare 4 and 56
  No swap needed
  Compare 56 and -74
  Swap 56 and -74
  List after swap: [-68, -8, 4, -74, 56, -18, 73, -16, -90, 88]
  Compare 56 and -18
  Swap 56 and -18
  List after swap: [-68, -8, 4, -74, -18, 56, 73, -16, -90, 88]
  Compare 56 and 73
  No swap needed
  Compare 73 and -16
  Swap 73 and -16
  List after swap: [-68, -8, 4, -74, -18, 56, -16, 73, -90, 88]
  Compare 73 and -90
  Swap 73 and -90
  List after swap: [-68, -8, 4, -74, -18, 56, -16, -90, 73, 88]

Pass 3:
  Compare -68 and -8
  No swap needed
  Compare -8 and 4
  No swap needed
  Compare 4 and -74
  Swap 4 and -74
  List after swap: [-68, -8, -74, 4, -18, 56, -16, -90, 73, 88]
  Compare 4 and -18
  Swap 4 and -18
  List after swap: [-68, -8, -74, -18, 4, 56, -16, -90, 73, 88]
  Compare 4 and 56
  No swap needed
  Compare 56 and -16
  Swap 56 and -16
  List after swap: [-68, -8, -74, -18, 4, -16, 56, -90, 73, 88]
  Compare 56 and -90
  Swap 56 and -90
  List after swap: [-68, -8, -74, -18, 4, -16, -90, 56, 73, 88]

Pass 4:
  Compare -68 and -8
  No swap needed
  Compare -8 and -74
  Swap -8 and -74
  List after swap: [-68, -74, -8, -18, 4, -16, -90, 56, 73, 88]
  Compare -8 and -18
  Swap -8 and -18
  List after swap: [-68, -74, -18, -8, 4, -16, -90, 56, 73, 88]
  Compare -8 and 4
  No swap needed
  Compare 4 and -16
  Swap 4 and -16
  List after swap: [-68, -74, -18, -8, -16, 4, -90, 56, 73, 88]
  Compare 4 and -90
  Swap 4 and -90
  List after swap: [-68, -74, -18, -8, -16, -90, 4, 56, 73, 88]

Pass 5:
  Compare -68 and -74
  Swap -68 and -74
  List after swap: [-74, -68, -18, -8, -16, -90, 4, 56, 73, 88]
  Compare -68 and -18
  No swap needed
  Compare -18 and -8
  No swap needed
  Compare -8 and -16
  Swap -8 and -16
  List after swap: [-74, -68, -18, -16, -8, -90, 4, 56, 73, 88]
  Compare -8 and -90
  Swap -8 and -90
  List after swap: [-74, -68, -18, -16, -90, -8, 4, 56, 73, 88]

Pass 6:
  Compare -74 and -68
  No swap needed
  Compare -68 and -18
  No swap needed
  Compare -18 and -16
  No swap needed
  Compare -16 and -90
  Swap -16 and -90
  List after swap: [-74, -68, -18, -90, -16, -8, 4, 56, 73, 88]

Pass 7:
  Compare -74 and -68
  No swap needed
  Compare -68 and -18
  No swap needed
  Compare -18 and -90
  Swap -18 and -90
  List after swap: [-74, -68, -90, -18, -16, -8, 4, 56, 73, 88]

Pass 8:
  Compare -74 and -68
  No swap needed
  Compare -68 and -90
  Swap -68 and -90
  List after swap: [-74, -90, -68, -18, -16, -8, 4, 56, 73, 88]

Pass 9:
  Compare -74 and -90
  Swap -74 and -90
  List after swap: [-90, -74, -68, -18, -16, -8, 4, 56, 73, 88]

Pass 10:
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -74, -68, -18, -16, -8, 4, 56, 73, 88]
</think>

<response>-90, -74, -68, -18, -16, -8, 4, 56, 73, 88</response>


input: Using the bubble sort method, sort -31, 36, 12 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-31, 36, 12]

Pass 1:
  Compare -31 and 36
  No swap needed
  Compare 36 and 12
  Swap 36 and 12
  List after swap: [-31, 12, 36]

Pass 2:
  Compare -31 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, 12, 36]
</think>

<response>-31, 12, 36</response>


input: Arrange the numbers 16, -36 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [16, -36]

Pass 1:
  Compare 16 and -36
  Swap 16 and -36
  List after swap: [-36, 16]

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

Final sorted list: [-36, 16]
</think>

<response>-36, 16</response>


input: Execute bubble sort to sort -11, 38, -54, 96, -26, 85, -63 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-11, 38, -54, 96, -26, 85, -63]

Pass 1:
  Compare -11 and 38
  No swap needed
  Compare 38 and -54
  Swap 38 and -54
  List after swap: [-11, -54, 38, 96, -26, 85, -63]
  Compare 38 and 96
  No swap needed
  Compare 96 and -26
  Swap 96 and -26
  List after swap: [-11, -54, 38, -26, 96, 85, -63]
  Compare 96 and 85
  Swap 96 and 85
  List after swap: [-11, -54, 38, -26, 85, 96, -63]
  Compare 96 and -63
  Swap 96 and -63
  List after swap: [-11, -54, 38, -26, 85, -63, 96]

Pass 2:
  Compare -11 and -54
  Swap -11 and -54
  List after swap: [-54, -11, 38, -26, 85, -63, 96]
  Compare -11 and 38
  No swap needed
  Compare 38 and -26
  Swap 38 and -26
  List after swap: [-54, -11, -26, 38, 85, -63, 96]
  Compare 38 and 85
  No swap needed
  Compare 85 and -63
  Swap 85 and -63
  List after swap: [-54, -11, -26, 38, -63, 85, 96]

Pass 3:
  Compare -54 and -11
  No swap needed
  Compare -11 and -26
  Swap -11 and -26
  List after swap: [-54, -26, -11, 38, -63, 85, 96]
  Compare -11 and 38
  No swap needed
  Compare 38 and -63
  Swap 38 and -63
  List after swap: [-54, -26, -11, -63, 38, 85, 96]

Pass 4:
  Compare -54 and -26
  No swap needed
  Compare -26 and -11
  No swap needed
  Compare -11 and -63
  Swap -11 and -63
  List after swap: [-54, -26, -63, -11, 38, 85, 96]

Pass 5:
  Compare -54 and -26
  No swap needed
  Compare -26 and -63
  Swap -26 and -63
  List after swap: [-54, -63, -26, -11, 38, 85, 96]

Pass 6:
  Compare -54 and -63
  Swap -54 and -63
  List after swap: [-63, -54, -26, -11, 38, 85, 96]

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

Final sorted list: [-63, -54, -26, -11, 38, 85, 96]
</think>

<response>-63, -54, -26, -11, 38, 85, 96</response>


input: Implement bubble sort on -33, 65, 47, 99, 78, -84, -90, 97, 32 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-33, 65, 47, 99, 78, -84, -90, 97, 32]

Pass 1:
  Compare -33 and 65
  No swap needed
  Compare 65 and 47
  Swap 65 and 47
  List after swap: [-33, 47, 65, 99, 78, -84, -90, 97, 32]
  Compare 65 and 99
  No swap needed
  Compare 99 and 78
  Swap 99 and 78
  List after swap: [-33, 47, 65, 78, 99, -84, -90, 97, 32]
  Compare 99 and -84
  Swap 99 and -84
  List after swap: [-33, 47, 65, 78, -84, 99, -90, 97, 32]
  Compare 99 and -90
  Swap 99 and -90
  List after swap: [-33, 47, 65, 78, -84, -90, 99, 97, 32]
  Compare 99 and 97
  Swap 99 and 97
  List after swap: [-33, 47, 65, 78, -84, -90, 97, 99, 32]
  Compare 99 and 32
  Swap 99 and 32
  List after swap: [-33, 47, 65, 78, -84, -90, 97, 32, 99]

Pass 2:
  Compare -33 and 47
  No swap needed
  Compare 47 and 65
  No swap needed
  Compare 65 and 78
  No swap needed
  Compare 78 and -84
  Swap 78 and -84
  List after swap: [-33, 47, 65, -84, 78, -90, 97, 32, 99]
  Compare 78 and -90
  Swap 78 and -90
  List after swap: [-33, 47, 65, -84, -90, 78, 97, 32, 99]
  Compare 78 and 97
  No swap needed
  Compare 97 and 32
  Swap 97 and 32
  List after swap: [-33, 47, 65, -84, -90, 78, 32, 97, 99]

Pass 3:
  Compare -33 and 47
  No swap needed
  Compare 47 and 65
  No swap needed
  Compare 65 and -84
  Swap 65 and -84
  List after swap: [-33, 47, -84, 65, -90, 78, 32, 97, 99]
  Compare 65 and -90
  Swap 65 and -90
  List after swap: [-33, 47, -84, -90, 65, 78, 32, 97, 99]
  Compare 65 and 78
  No swap needed
  Compare 78 and 32
  Swap 78 and 32
  List after swap: [-33, 47, -84, -90, 65, 32, 78, 97, 99]

Pass 4:
  Compare -33 and 47
  No swap needed
  Compare 47 and -84
  Swap 47 and -84
  List after swap: [-33, -84, 47, -90, 65, 32, 78, 97, 99]
  Compare 47 and -90
  Swap 47 and -90
  List after swap: [-33, -84, -90, 47, 65, 32, 78, 97, 99]
  Compare 47 and 65
  No swap needed
  Compare 65 and 32
  Swap 65 and 32
  List after swap: [-33, -84, -90, 47, 32, 65, 78, 97, 99]

Pass 5:
  Compare -33 and -84
  Swap -33 and -84
  List after swap: [-84, -33, -90, 47, 32, 65, 78, 97, 99]
  Compare -33 and -90
  Swap -33 and -90
  List after swap: [-84, -90, -33, 47, 32, 65, 78, 97, 99]
  Compare -33 and 47
  No swap needed
  Compare 47 and 32
  Swap 47 and 32
  List after swap: [-84, -90, -33, 32, 47, 65, 78, 97, 99]

Pass 6:
  Compare -84 and -90
  Swap -84 and -90
  List after swap: [-90, -84, -33, 32, 47, 65, 78, 97, 99]
  Compare -84 and -33
  No swap needed
  Compare -33 and 32
  No swap needed

Pass 7:
  Compare -90 and -84
  No swap needed
  Compare -84 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -84, -33, 32, 47, 65, 78, 97, 99]
</think>

<response>-90, -84, -33, 32, 47, 65, 78, 97, 99</response>


input: Sort these integers -63, -34, -29, 41, 49, 62, -81, 47, -19 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-63, -34, -29, 41, 49, 62, -81, 47, -19]

Pass 1:
  Compare -63 and -34
  No swap needed
  Compare -34 and -29
  No swap needed
  Compare -29 and 41
  No swap needed
  Compare 41 and 49
  No swap needed
  Compare 49 and 62
  No swap needed
  Compare 62 and -81
  Swap 62 and -81
  List after swap: [-63, -34, -29, 41, 49, -81, 62, 47, -19]
  Compare 62 and 47
  Swap 62 and 47
  List after swap: [-63, -34, -29, 41, 49, -81, 47, 62, -19]
  Compare 62 and -19
  Swap 62 and -19
  List after swap: [-63, -34, -29, 41, 49, -81, 47, -19, 62]

Pass 2:
  Compare -63 and -34
  No swap needed
  Compare -34 and -29
  No swap needed
  Compare -29 and 41
  No swap needed
  Compare 41 and 49
  No swap needed
  Compare 49 and -81
  Swap 49 and -81
  List after swap: [-63, -34, -29, 41, -81, 49, 47, -19, 62]
  Compare 49 and 47
  Swap 49 and 47
  List after swap: [-63, -34, -29, 41, -81, 47, 49, -19, 62]
  Compare 49 and -19
  Swap 49 and -19
  List after swap: [-63, -34, -29, 41, -81, 47, -19, 49, 62]

Pass 3:
  Compare -63 and -34
  No swap needed
  Compare -34 and -29
  No swap needed
  Compare -29 and 41
  No swap needed
  Compare 41 and -81
  Swap 41 and -81
  List after swap: [-63, -34, -29, -81, 41, 47, -19, 49, 62]
  Compare 41 and 47
  No swap needed
  Compare 47 and -19
  Swap 47 and -19
  List after swap: [-63, -34, -29, -81, 41, -19, 47, 49, 62]

Pass 4:
  Compare -63 and -34
  No swap needed
  Compare -34 and -29
  No swap needed
  Compare -29 and -81
  Swap -29 and -81
  List after swap: [-63, -34, -81, -29, 41, -19, 47, 49, 62]
  Compare -29 and 41
  No swap needed
  Compare 41 and -19
  Swap 41 and -19
  List after swap: [-63, -34, -81, -29, -19, 41, 47, 49, 62]

Pass 5:
  Compare -63 and -34
  No swap needed
  Compare -34 and -81
  Swap -34 and -81
  List after swap: [-63, -81, -34, -29, -19, 41, 47, 49, 62]
  Compare -34 and -29
  No swap needed
  Compare -29 and -19
  No swap needed

Pass 6:
  Compare -63 and -81
  Swap -63 and -81
  List after swap: [-81, -63, -34, -29, -19, 41, 47, 49, 62]
  Compare -63 and -34
  No swap needed
  Compare -34 and -29
  No swap needed

Pass 7:
  Compare -81 and -63
  No swap needed
  Compare -63 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -63, -34, -29, -19, 41, 47, 49, 62]
</think>

<response>-81, -63, -34, -29, -19, 41, 47, 49, 62</response>


input: Perform a bubble sort on the integers 7, -43, -31, 32, -20, -46, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [7, -43, -31, 32, -20, -46]

Pass 1:
  Compare 7 and -43
  Swap 7 and -43
  List after swap: [-43, 7, -31, 32, -20, -46]
  Compare 7 and -31
  Swap 7 and -31
  List after swap: [-43, -31, 7, 32, -20, -46]
  Compare 7 and 32
  No swap needed
  Compare 32 and -20
  Swap 32 and -20
  List after swap: [-43, -31, 7, -20, 32, -46]
  Compare 32 and -46
  Swap 32 and -46
  List after swap: [-43, -31, 7, -20, -46, 32]

Pass 2:
  Compare -43 and -31
  No swap needed
  Compare -31 and 7
  No swap needed
  Compare 7 and -20
  Swap 7 and -20
  List after swap: [-43, -31, -20, 7, -46, 32]
  Compare 7 and -46
  Swap 7 and -46
  List after swap: [-43, -31, -20, -46, 7, 32]

Pass 3:
  Compare -43 and -31
  No swap needed
  Compare -31 and -20
  No swap needed
  Compare -20 and -46
  Swap -20 and -46
  List after swap: [-43, -31, -46, -20, 7, 32]

Pass 4:
  Compare -43 and -31
  No swap needed
  Compare -31 and -46
  Swap -31 and -46
  List after swap: [-43, -46, -31, -20, 7, 32]

Pass 5:
  Compare -43 and -46
  Swap -43 and -46
  List after swap: [-46, -43, -31, -20, 7, 32]

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

Final sorted list: [-46, -43, -31, -20, 7, 32]
</think>

<response>-46, -43, -31, -20, 7, 32</response>


input: Use the bubble sort technique to reorder 52, -48, -37, -46, -49, -44, 21, -29 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [52, -48, -37, -46, -49, -44, 21, -29]

Pass 1:
  Compare 52 and -48
  Swap 52 and -48
  List after swap: [-48, 52, -37, -46, -49, -44, 21, -29]
  Compare 52 and -37
  Swap 52 and -37
  List after swap: [-48, -37, 52, -46, -49, -44, 21, -29]
  Compare 52 and -46
  Swap 52 and -46
  List after swap: [-48, -37, -46, 52, -49, -44, 21, -29]
  Compare 52 and -49
  Swap 52 and -49
  List after swap: [-48, -37, -46, -49, 52, -44, 21, -29]
  Compare 52 and -44
  Swap 52 and -44
  List after swap: [-48, -37, -46, -49, -44, 52, 21, -29]
  Compare 52 and 21
  Swap 52 and 21
  List after swap: [-48, -37, -46, -49, -44, 21, 52, -29]
  Compare 52 and -29
  Swap 52 and -29
  List after swap: [-48, -37, -46, -49, -44, 21, -29, 52]

Pass 2:
  Compare -48 and -37
  No swap needed
  Compare -37 and -46
  Swap -37 and -46
  List after swap: [-48, -46, -37, -49, -44, 21, -29, 52]
  Compare -37 and -49
  Swap -37 and -49
  List after swap: [-48, -46, -49, -37, -44, 21, -29, 52]
  Compare -37 and -44
  Swap -37 and -44
  List after swap: [-48, -46, -49, -44, -37, 21, -29, 52]
  Compare -37 and 21
  No swap needed
  Compare 21 and -29
  Swap 21 and -29
  List after swap: [-48, -46, -49, -44, -37, -29, 21, 52]

Pass 3:
  Compare -48 and -46
  No swap needed
  Compare -46 and -49
  Swap -46 and -49
  List after swap: [-48, -49, -46, -44, -37, -29, 21, 52]
  Compare -46 and -44
  No swap needed
  Compare -44 and -37
  No swap needed
  Compare -37 and -29
  No swap needed

Pass 4:
  Compare -48 and -49
  Swap -48 and -49
  List after swap: [-49, -48, -46, -44, -37, -29, 21, 52]
  Compare -48 and -46
  No swap needed
  Compare -46 and -44
  No swap needed
  Compare -44 and -37
  No swap needed

Pass 5:
  Compare -49 and -48
  No swap needed
  Compare -48 and -46
  No swap needed
  Compare -46 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -48, -46, -44, -37, -29, 21, 52]
</think>

<response>-49, -48, -46, -44, -37, -29, 21, 52</response>


input: Sort these integers 52, -46, -45, 84, 88, -33, -7, -83, 15, 23 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [52, -46, -45, 84, 88, -33, -7, -83, 15, 23]

Pass 1:
  Compare 52 and -46
  Swap 52 and -46
  List after swap: [-46, 52, -45, 84, 88, -33, -7, -83, 15, 23]
  Compare 52 and -45
  Swap 52 and -45
  List after swap: [-46, -45, 52, 84, 88, -33, -7, -83, 15, 23]
  Compare 52 and 84
  No swap needed
  Compare 84 and 88
  No swap needed
  Compare 88 and -33
  Swap 88 and -33
  List after swap: [-46, -45, 52, 84, -33, 88, -7, -83, 15, 23]
  Compare 88 and -7
  Swap 88 and -7
  List after swap: [-46, -45, 52, 84, -33, -7, 88, -83, 15, 23]
  Compare 88 and -83
  Swap 88 and -83
  List after swap: [-46, -45, 52, 84, -33, -7, -83, 88, 15, 23]
  Compare 88 and 15
  Swap 88 and 15
  List after swap: [-46, -45, 52, 84, -33, -7, -83, 15, 88, 23]
  Compare 88 and 23
  Swap 88 and 23
  List after swap: [-46, -45, 52, 84, -33, -7, -83, 15, 23, 88]

Pass 2:
  Compare -46 and -45
  No swap needed
  Compare -45 and 52
  No swap needed
  Compare 52 and 84
  No swap needed
  Compare 84 and -33
  Swap 84 and -33
  List after swap: [-46, -45, 52, -33, 84, -7, -83, 15, 23, 88]
  Compare 84 and -7
  Swap 84 and -7
  List after swap: [-46, -45, 52, -33, -7, 84, -83, 15, 23, 88]
  Compare 84 and -83
  Swap 84 and -83
  List after swap: [-46, -45, 52, -33, -7, -83, 84, 15, 23, 88]
  Compare 84 and 15
  Swap 84 and 15
  List after swap: [-46, -45, 52, -33, -7, -83, 15, 84, 23, 88]
  Compare 84 and 23
  Swap 84 and 23
  List after swap: [-46, -45, 52, -33, -7, -83, 15, 23, 84, 88]

Pass 3:
  Compare -46 and -45
  No swap needed
  Compare -45 and 52
  No swap needed
  Compare 52 and -33
  Swap 52 and -33
  List after swap: [-46, -45, -33, 52, -7, -83, 15, 23, 84, 88]
  Compare 52 and -7
  Swap 52 and -7
  List after swap: [-46, -45, -33, -7, 52, -83, 15, 23, 84, 88]
  Compare 52 and -83
  Swap 52 and -83
  List after swap: [-46, -45, -33, -7, -83, 52, 15, 23, 84, 88]
  Compare 52 and 15
  Swap 52 and 15
  List after swap: [-46, -45, -33, -7, -83, 15, 52, 23, 84, 88]
  Compare 52 and 23
  Swap 52 and 23
  List after swap: [-46, -45, -33, -7, -83, 15, 23, 52, 84, 88]

Pass 4:
  Compare -46 and -45
  No swap needed
  Compare -45 and -33
  No swap needed
  Compare -33 and -7
  No swap needed
  Compare -7 and -83
  Swap -7 and -83
  List after swap: [-46, -45, -33, -83, -7, 15, 23, 52, 84, 88]
  Compare -7 and 15
  No swap needed
  Compare 15 and 23
  No swap needed

Pass 5:
  Compare -46 and -45
  No swap needed
  Compare -45 and -33
  No swap needed
  Compare -33 and -83
  Swap -33 and -83
  List after swap: [-46, -45, -83, -33, -7, 15, 23, 52, 84, 88]
  Compare -33 and -7
  No swap needed
  Compare -7 and 15
  No swap needed

Pass 6:
  Compare -46 and -45
  No swap needed
  Compare -45 and -83
  Swap -45 and -83
  List after swap: [-46, -83, -45, -33, -7, 15, 23, 52, 84, 88]
  Compare -45 and -33
  No swap needed
  Compare -33 and -7
  No swap needed

Pass 7:
  Compare -46 and -83
  Swap -46 and -83
  List after swap: [-83, -46, -45, -33, -7, 15, 23, 52, 84, 88]
  Compare -46 and -45
  No swap needed
  Compare -45 and -33
  No swap needed

Pass 8:
  Compare -83 and -46
  No swap needed
  Compare -46 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -46, -45, -33, -7, 15, 23, 52, 84, 88]
</think>

<response>-83, -46, -45, -33, -7, 15, 23, 52, 84, 88</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -43, -93, -10, -85.

output:
<think>
Initial list: [-43, -93, -10, -85]

Pass 1:
  Compare -43 and -93
  Swap -43 and -93
  List after swap: [-93, -43, -10, -85]
  Compare -43 and -10
  No swap needed
  Compare -10 and -85
  Swap -10 and -85
  List after swap: [-93, -43, -85, -10]

Pass 2:
  Compare -93 and -43
  No swap needed
  Compare -43 and -85
  Swap -43 and -85
  List after swap: [-93, -85, -43, -10]

Pass 3:
  Compare -93 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -85, -43, -10]
</think>

<response>-93, -85, -43, -10</response>


input: Using the bubble sort method, sort -71, 63, -75, 20, -13, -23, 14, 31, -53, -79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-71, 63, -75, 20, -13, -23, 14, 31, -53, -79]

Pass 1:
  Compare -71 and 63
  No swap needed
  Compare 63 and -75
  Swap 63 and -75
  List after swap: [-71, -75, 63, 20, -13, -23, 14, 31, -53, -79]
  Compare 63 and 20
  Swap 63 and 20
  List after swap: [-71, -75, 20, 63, -13, -23, 14, 31, -53, -79]
  Compare 63 and -13
  Swap 63 and -13
  List after swap: [-71, -75, 20, -13, 63, -23, 14, 31, -53, -79]
  Compare 63 and -23
  Swap 63 and -23
  List after swap: [-71, -75, 20, -13, -23, 63, 14, 31, -53, -79]
  Compare 63 and 14
  Swap 63 and 14
  List after swap: [-71, -75, 20, -13, -23, 14, 63, 31, -53, -79]
  Compare 63 and 31
  Swap 63 and 31
  List after swap: [-71, -75, 20, -13, -23, 14, 31, 63, -53, -79]
  Compare 63 and -53
  Swap 63 and -53
  List after swap: [-71, -75, 20, -13, -23, 14, 31, -53, 63, -79]
  Compare 63 and -79
  Swap 63 and -79
  List after swap: [-71, -75, 20, -13, -23, 14, 31, -53, -79, 63]

Pass 2:
  Compare -71 and -75
  Swap -71 and -75
  List after swap: [-75, -71, 20, -13, -23, 14, 31, -53, -79, 63]
  Compare -71 and 20
  No swap needed
  Compare 20 and -13
  Swap 20 and -13
  List after swap: [-75, -71, -13, 20, -23, 14, 31, -53, -79, 63]
  Compare 20 and -23
  Swap 20 and -23
  List after swap: [-75, -71, -13, -23, 20, 14, 31, -53, -79, 63]
  Compare 20 and 14
  Swap 20 and 14
  List after swap: [-75, -71, -13, -23, 14, 20, 31, -53, -79, 63]
  Compare 20 and 31
  No swap needed
  Compare 31 and -53
  Swap 31 and -53
  List after swap: [-75, -71, -13, -23, 14, 20, -53, 31, -79, 63]
  Compare 31 and -79
  Swap 31 and -79
  List after swap: [-75, -71, -13, -23, 14, 20, -53, -79, 31, 63]

Pass 3:
  Compare -75 and -71
  No swap needed
  Compare -71 and -13
  No swap needed
  Compare -13 and -23
  Swap -13 and -23
  List after swap: [-75, -71, -23, -13, 14, 20, -53, -79, 31, 63]
  Compare -13 and 14
  No swap needed
  Compare 14 and 20
  No swap needed
  Compare 20 and -53
  Swap 20 and -53
  List after swap: [-75, -71, -23, -13, 14, -53, 20, -79, 31, 63]
  Compare 20 and -79
  Swap 20 and -79
  List after swap: [-75, -71, -23, -13, 14, -53, -79, 20, 31, 63]

Pass 4:
  Compare -75 and -71
  No swap needed
  Compare -71 and -23
  No swap needed
  Compare -23 and -13
  No swap needed
  Compare -13 and 14
  No swap needed
  Compare 14 and -53
  Swap 14 and -53
  List after swap: [-75, -71, -23, -13, -53, 14, -79, 20, 31, 63]
  Compare 14 and -79
  Swap 14 and -79
  List after swap: [-75, -71, -23, -13, -53, -79, 14, 20, 31, 63]

Pass 5:
  Compare -75 and -71
  No swap needed
  Compare -71 and -23
  No swap needed
  Compare -23 and -13
  No swap needed
  Compare -13 and -53
  Swap -13 and -53
  List after swap: [-75, -71, -23, -53, -13, -79, 14, 20, 31, 63]
  Compare -13 and -79
  Swap -13 and -79
  List after swap: [-75, -71, -23, -53, -79, -13, 14, 20, 31, 63]

Pass 6:
  Compare -75 and -71
  No swap needed
  Compare -71 and -23
  No swap needed
  Compare -23 and -53
  Swap -23 and -53
  List after swap: [-75, -71, -53, -23, -79, -13, 14, 20, 31, 63]
  Compare -23 and -79
  Swap -23 and -79
  List after swap: [-75, -71, -53, -79, -23, -13, 14, 20, 31, 63]

Pass 7:
  Compare -75 and -71
  No swap needed
  Compare -71 and -53
  No swap needed
  Compare -53 and -79
  Swap -53 and -79
  List after swap: [-75, -71, -79, -53, -23, -13, 14, 20, 31, 63]

Pass 8:
  Compare -75 and -71
  No swap needed
  Compare -71 and -79
  Swap -71 and -79
  List after swap: [-75, -79, -71, -53, -23, -13, 14, 20, 31, 63]

Pass 9:
  Compare -75 and -79
  Swap -75 and -79
  List after swap: [-79, -75, -71, -53, -23, -13, 14, 20, 31, 63]

Pass 10:
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -75, -71, -53, -23, -13, 14, 20, 31, 63]
</think>

<response>-79, -75, -71, -53, -23, -13, 14, 20, 31, 63</response>


input: Arrange the numbers 79, 58, -80, -89, -91, 87, 28 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [79, 58, -80, -89, -91, 87, 28]

Pass 1:
  Compare 79 and 58
  Swap 79 and 58
  List after swap: [58, 79, -80, -89, -91, 87, 28]
  Compare 79 and -80
  Swap 79 and -80
  List after swap: [58, -80, 79, -89, -91, 87, 28]
  Compare 79 and -89
  Swap 79 and -89
  List after swap: [58, -80, -89, 79, -91, 87, 28]
  Compare 79 and -91
  Swap 79 and -91
  List after swap: [58, -80, -89, -91, 79, 87, 28]
  Compare 79 and 87
  No swap needed
  Compare 87 and 28
  Swap 87 and 28
  List after swap: [58, -80, -89, -91, 79, 28, 87]

Pass 2:
  Compare 58 and -80
  Swap 58 and -80
  List after swap: [-80, 58, -89, -91, 79, 28, 87]
  Compare 58 and -89
  Swap 58 and -89
  List after swap: [-80, -89, 58, -91, 79, 28, 87]
  Compare 58 and -91
  Swap 58 and -91
  List after swap: [-80, -89, -91, 58, 79, 28, 87]
  Compare 58 and 79
  No swap needed
  Compare 79 and 28
  Swap 79 and 28
  List after swap: [-80, -89, -91, 58, 28, 79, 87]

Pass 3:
  Compare -80 and -89
  Swap -80 and -89
  List after swap: [-89, -80, -91, 58, 28, 79, 87]
  Compare -80 and -91
  Swap -80 and -91
  List after swap: [-89, -91, -80, 58, 28, 79, 87]
  Compare -80 and 58
  No swap needed
  Compare 58 and 28
  Swap 58 and 28
  List after swap: [-89, -91, -80, 28, 58, 79, 87]

Pass 4:
  Compare -89 and -91
  Swap -89 and -91
  List after swap: [-91, -89, -80, 28, 58, 79, 87]
  Compare -89 and -80
  No swap needed
  Compare -80 and 28
  No swap needed

Pass 5:
  Compare -91 and -89
  No swap needed
  Compare -89 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -89, -80, 28, 58, 79, 87]
</think>

<response>-91, -89, -80, 28, 58, 79, 87</response>


input: Arrange the numbers -100, -69, -37, -68 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-100, -69, -37, -68]

Pass 1:
  Compare -100 and -69
  No swap needed
  Compare -69 and -37
  No swap needed
  Compare -37 and -68
  Swap -37 and -68
  List after swap: [-100, -69, -68, -37]

Pass 2:
  Compare -100 and -69
  No swap needed
  Compare -69 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -69, -68, -37]
</think>

<response>-100, -69, -68, -37</response>


input: Using the bubble sort method, sort -54, -13, 43, -75, -6, 89, -4 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-54, -13, 43, -75, -6, 89, -4]

Pass 1:
  Compare -54 and -13
  No swap needed
  Compare -13 and 43
  No swap needed
  Compare 43 and -75
  Swap 43 and -75
  List after swap: [-54, -13, -75, 43, -6, 89, -4]
  Compare 43 and -6
  Swap 43 and -6
  List after swap: [-54, -13, -75, -6, 43, 89, -4]
  Compare 43 and 89
  No swap needed
  Compare 89 and -4
  Swap 89 and -4
  List after swap: [-54, -13, -75, -6, 43, -4, 89]

Pass 2:
  Compare -54 and -13
  No swap needed
  Compare -13 and -75
  Swap -13 and -75
  List after swap: [-54, -75, -13, -6, 43, -4, 89]
  Compare -13 and -6
  No swap needed
  Compare -6 and 43
  No swap needed
  Compare 43 and -4
  Swap 43 and -4
  List after swap: [-54, -75, -13, -6, -4, 43, 89]

Pass 3:
  Compare -54 and -75
  Swap -54 and -75
  List after swap: [-75, -54, -13, -6, -4, 43, 89]
  Compare -54 and -13
  No swap needed
  Compare -13 and -6
  No swap needed
  Compare -6 and -4
  No swap needed

Pass 4:
  Compare -75 and -54
  No swap needed
  Compare -54 and -13
  No swap needed
  Compare -13 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -54, -13, -6, -4, 43, 89]
</think>

<response>-75, -54, -13, -6, -4, 43, 89</response>


input: Demonstrate how bubble sort orders the integers 76, -75, -56, -59, 47, 69, -36 in ascending sequence, showing all steps.

output:
<think>
Initial list: [76, -75, -56, -59, 47, 69, -36]

Pass 1:
  Compare 76 and -75
  Swap 76 and -75
  List after swap: [-75, 76, -56, -59, 47, 69, -36]
  Compare 76 and -56
  Swap 76 and -56
  List after swap: [-75, -56, 76, -59, 47, 69, -36]
  Compare 76 and -59
  Swap 76 and -59
  List after swap: [-75, -56, -59, 76, 47, 69, -36]
  Compare 76 and 47
  Swap 76 and 47
  List after swap: [-75, -56, -59, 47, 76, 69, -36]
  Compare 76 and 69
  Swap 76 and 69
  List after swap: [-75, -56, -59, 47, 69, 76, -36]
  Compare 76 and -36
  Swap 76 and -36
  List after swap: [-75, -56, -59, 47, 69, -36, 76]

Pass 2:
  Compare -75 and -56
  No swap needed
  Compare -56 and -59
  Swap -56 and -59
  List after swap: [-75, -59, -56, 47, 69, -36, 76]
  Compare -56 and 47
  No swap needed
  Compare 47 and 69
  No swap needed
  Compare 69 and -36
  Swap 69 and -36
  List after swap: [-75, -59, -56, 47, -36, 69, 76]

Pass 3:
  Compare -75 and -59
  No swap needed
  Compare -59 and -56
  No swap needed
  Compare -56 and 47
  No swap needed
  Compare 47 and -36
  Swap 47 and -36
  List after swap: [-75, -59, -56, -36, 47, 69, 76]

Pass 4:
  Compare -75 and -59
  No swap needed
  Compare -59 and -56
  No swap needed
  Compare -56 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -59, -56, -36, 47, 69, 76]
</think>

<response>-75, -59, -56, -36, 47, 69, 76</response>


input: Perform a bubble sort on the integers 0, 44, -11, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [0, 44, -11]

Pass 1:
  Compare 0 and 44
  No swap needed
  Compare 44 and -11
  Swap 44 and -11
  List after swap: [0, -11, 44]

Pass 2:
  Compare 0 and -11
  Swap 0 and -11
  List after swap: [-11, 0, 44]

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

Final sorted list: [-11, 0, 44]
</think>

<response>-11, 0, 44</response>