input: Implement bubble sort on -59, -33, 15 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-59, -33, 15]

Pass 1:
  Compare -59 and -33
  No swap needed
  Compare -33 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -33, 15]
</think>

<response>-59, -33, 15</response>


input: Implement bubble sort on -38, 61, 70, -58, 13, 60 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-38, 61, 70, -58, 13, 60]

Pass 1:
  Compare -38 and 61
  No swap needed
  Compare 61 and 70
  No swap needed
  Compare 70 and -58
  Swap 70 and -58
  List after swap: [-38, 61, -58, 70, 13, 60]
  Compare 70 and 13
  Swap 70 and 13
  List after swap: [-38, 61, -58, 13, 70, 60]
  Compare 70 and 60
  Swap 70 and 60
  List after swap: [-38, 61, -58, 13, 60, 70]

Pass 2:
  Compare -38 and 61
  No swap needed
  Compare 61 and -58
  Swap 61 and -58
  List after swap: [-38, -58, 61, 13, 60, 70]
  Compare 61 and 13
  Swap 61 and 13
  List after swap: [-38, -58, 13, 61, 60, 70]
  Compare 61 and 60
  Swap 61 and 60
  List after swap: [-38, -58, 13, 60, 61, 70]

Pass 3:
  Compare -38 and -58
  Swap -38 and -58
  List after swap: [-58, -38, 13, 60, 61, 70]
  Compare -38 and 13
  No swap needed
  Compare 13 and 60
  No swap needed

Pass 4:
  Compare -58 and -38
  No swap needed
  Compare -38 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -38, 13, 60, 61, 70]
</think>

<response>-58, -38, 13, 60, 61, 70</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -73, -49, -74, 96, 76, 17, 31.

output:
<think>
Initial list: [-73, -49, -74, 96, 76, 17, 31]

Pass 1:
  Compare -73 and -49
  No swap needed
  Compare -49 and -74
  Swap -49 and -74
  List after swap: [-73, -74, -49, 96, 76, 17, 31]
  Compare -49 and 96
  No swap needed
  Compare 96 and 76
  Swap 96 and 76
  List after swap: [-73, -74, -49, 76, 96, 17, 31]
  Compare 96 and 17
  Swap 96 and 17
  List after swap: [-73, -74, -49, 76, 17, 96, 31]
  Compare 96 and 31
  Swap 96 and 31
  List after swap: [-73, -74, -49, 76, 17, 31, 96]

Pass 2:
  Compare -73 and -74
  Swap -73 and -74
  List after swap: [-74, -73, -49, 76, 17, 31, 96]
  Compare -73 and -49
  No swap needed
  Compare -49 and 76
  No swap needed
  Compare 76 and 17
  Swap 76 and 17
  List after swap: [-74, -73, -49, 17, 76, 31, 96]
  Compare 76 and 31
  Swap 76 and 31
  List after swap: [-74, -73, -49, 17, 31, 76, 96]

Pass 3:
  Compare -74 and -73
  No swap needed
  Compare -73 and -49
  No swap needed
  Compare -49 and 17
  No swap needed
  Compare 17 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -73, -49, 17, 31, 76, 96]
</think>

<response>-74, -73, -49, 17, 31, 76, 96</response>


input: Using the bubble sort method, sort -83, -56, 16, 72, 75, 93, -38 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-83, -56, 16, 72, 75, 93, -38]

Pass 1:
  Compare -83 and -56
  No swap needed
  Compare -56 and 16
  No swap needed
  Compare 16 and 72
  No swap needed
  Compare 72 and 75
  No swap needed
  Compare 75 and 93
  No swap needed
  Compare 93 and -38
  Swap 93 and -38
  List after swap: [-83, -56, 16, 72, 75, -38, 93]

Pass 2:
  Compare -83 and -56
  No swap needed
  Compare -56 and 16
  No swap needed
  Compare 16 and 72
  No swap needed
  Compare 72 and 75
  No swap needed
  Compare 75 and -38
  Swap 75 and -38
  List after swap: [-83, -56, 16, 72, -38, 75, 93]

Pass 3:
  Compare -83 and -56
  No swap needed
  Compare -56 and 16
  No swap needed
  Compare 16 and 72
  No swap needed
  Compare 72 and -38
  Swap 72 and -38
  List after swap: [-83, -56, 16, -38, 72, 75, 93]

Pass 4:
  Compare -83 and -56
  No swap needed
  Compare -56 and 16
  No swap needed
  Compare 16 and -38
  Swap 16 and -38
  List after swap: [-83, -56, -38, 16, 72, 75, 93]

Pass 5:
  Compare -83 and -56
  No swap needed
  Compare -56 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -56, -38, 16, 72, 75, 93]
</think>

<response>-83, -56, -38, 16, 72, 75, 93</response>


input: Sort the list 27, 18 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [27, 18]

Pass 1:
  Compare 27 and 18
  Swap 27 and 18
  List after swap: [18, 27]

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

Final sorted list: [18, 27]
</think>

<response>18, 27</response>


input: Arrange the numbers 60, 5, 3, 33, -91 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [60, 5, 3, 33, -91]

Pass 1:
  Compare 60 and 5
  Swap 60 and 5
  List after swap: [5, 60, 3, 33, -91]
  Compare 60 and 3
  Swap 60 and 3
  List after swap: [5, 3, 60, 33, -91]
  Compare 60 and 33
  Swap 60 and 33
  List after swap: [5, 3, 33, 60, -91]
  Compare 60 and -91
  Swap 60 and -91
  List after swap: [5, 3, 33, -91, 60]

Pass 2:
  Compare 5 and 3
  Swap 5 and 3
  List after swap: [3, 5, 33, -91, 60]
  Compare 5 and 33
  No swap needed
  Compare 33 and -91
  Swap 33 and -91
  List after swap: [3, 5, -91, 33, 60]

Pass 3:
  Compare 3 and 5
  No swap needed
  Compare 5 and -91
  Swap 5 and -91
  List after swap: [3, -91, 5, 33, 60]

Pass 4:
  Compare 3 and -91
  Swap 3 and -91
  List after swap: [-91, 3, 5, 33, 60]

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

Final sorted list: [-91, 3, 5, 33, 60]
</think>

<response>-91, 3, 5, 33, 60</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -7, -36, 4, -83, -57, -71, -42.

output:
<think>
Initial list: [-7, -36, 4, -83, -57, -71, -42]

Pass 1:
  Compare -7 and -36
  Swap -7 and -36
  List after swap: [-36, -7, 4, -83, -57, -71, -42]
  Compare -7 and 4
  No swap needed
  Compare 4 and -83
  Swap 4 and -83
  List after swap: [-36, -7, -83, 4, -57, -71, -42]
  Compare 4 and -57
  Swap 4 and -57
  List after swap: [-36, -7, -83, -57, 4, -71, -42]
  Compare 4 and -71
  Swap 4 and -71
  List after swap: [-36, -7, -83, -57, -71, 4, -42]
  Compare 4 and -42
  Swap 4 and -42
  List after swap: [-36, -7, -83, -57, -71, -42, 4]

Pass 2:
  Compare -36 and -7
  No swap needed
  Compare -7 and -83
  Swap -7 and -83
  List after swap: [-36, -83, -7, -57, -71, -42, 4]
  Compare -7 and -57
  Swap -7 and -57
  List after swap: [-36, -83, -57, -7, -71, -42, 4]
  Compare -7 and -71
  Swap -7 and -71
  List after swap: [-36, -83, -57, -71, -7, -42, 4]
  Compare -7 and -42
  Swap -7 and -42
  List after swap: [-36, -83, -57, -71, -42, -7, 4]

Pass 3:
  Compare -36 and -83
  Swap -36 and -83
  List after swap: [-83, -36, -57, -71, -42, -7, 4]
  Compare -36 and -57
  Swap -36 and -57
  List after swap: [-83, -57, -36, -71, -42, -7, 4]
  Compare -36 and -71
  Swap -36 and -71
  List after swap: [-83, -57, -71, -36, -42, -7, 4]
  Compare -36 and -42
  Swap -36 and -42
  List after swap: [-83, -57, -71, -42, -36, -7, 4]

Pass 4:
  Compare -83 and -57
  No swap needed
  Compare -57 and -71
  Swap -57 and -71
  List after swap: [-83, -71, -57, -42, -36, -7, 4]
  Compare -57 and -42
  No swap needed

Pass 5:
  Compare -83 and -71
  No swap needed
  Compare -71 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -71, -57, -42, -36, -7, 4]
</think>

<response>-83, -71, -57, -42, -36, -7, 4</response>


input: Sort the list -80, -40, 79, -85, -99, 46 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-80, -40, 79, -85, -99, 46]

Pass 1:
  Compare -80 and -40
  No swap needed
  Compare -40 and 79
  No swap needed
  Compare 79 and -85
  Swap 79 and -85
  List after swap: [-80, -40, -85, 79, -99, 46]
  Compare 79 and -99
  Swap 79 and -99
  List after swap: [-80, -40, -85, -99, 79, 46]
  Compare 79 and 46
  Swap 79 and 46
  List after swap: [-80, -40, -85, -99, 46, 79]

Pass 2:
  Compare -80 and -40
  No swap needed
  Compare -40 and -85
  Swap -40 and -85
  List after swap: [-80, -85, -40, -99, 46, 79]
  Compare -40 and -99
  Swap -40 and -99
  List after swap: [-80, -85, -99, -40, 46, 79]
  Compare -40 and 46
  No swap needed

Pass 3:
  Compare -80 and -85
  Swap -80 and -85
  List after swap: [-85, -80, -99, -40, 46, 79]
  Compare -80 and -99
  Swap -80 and -99
  List after swap: [-85, -99, -80, -40, 46, 79]
  Compare -80 and -40
  No swap needed

Pass 4:
  Compare -85 and -99
  Swap -85 and -99
  List after swap: [-99, -85, -80, -40, 46, 79]
  Compare -85 and -80
  No swap needed

Pass 5:
  Compare -99 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -85, -80, -40, 46, 79]
</think>

<response>-99, -85, -80, -40, 46, 79</response>


input: Execute bubble sort to sort -81, -84, 17, 77, 93, -55, -47, 52, 7, 59 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-81, -84, 17, 77, 93, -55, -47, 52, 7, 59]

Pass 1:
  Compare -81 and -84
  Swap -81 and -84
  List after swap: [-84, -81, 17, 77, 93, -55, -47, 52, 7, 59]
  Compare -81 and 17
  No swap needed
  Compare 17 and 77
  No swap needed
  Compare 77 and 93
  No swap needed
  Compare 93 and -55
  Swap 93 and -55
  List after swap: [-84, -81, 17, 77, -55, 93, -47, 52, 7, 59]
  Compare 93 and -47
  Swap 93 and -47
  List after swap: [-84, -81, 17, 77, -55, -47, 93, 52, 7, 59]
  Compare 93 and 52
  Swap 93 and 52
  List after swap: [-84, -81, 17, 77, -55, -47, 52, 93, 7, 59]
  Compare 93 and 7
  Swap 93 and 7
  List after swap: [-84, -81, 17, 77, -55, -47, 52, 7, 93, 59]
  Compare 93 and 59
  Swap 93 and 59
  List after swap: [-84, -81, 17, 77, -55, -47, 52, 7, 59, 93]

Pass 2:
  Compare -84 and -81
  No swap needed
  Compare -81 and 17
  No swap needed
  Compare 17 and 77
  No swap needed
  Compare 77 and -55
  Swap 77 and -55
  List after swap: [-84, -81, 17, -55, 77, -47, 52, 7, 59, 93]
  Compare 77 and -47
  Swap 77 and -47
  List after swap: [-84, -81, 17, -55, -47, 77, 52, 7, 59, 93]
  Compare 77 and 52
  Swap 77 and 52
  List after swap: [-84, -81, 17, -55, -47, 52, 77, 7, 59, 93]
  Compare 77 and 7
  Swap 77 and 7
  List after swap: [-84, -81, 17, -55, -47, 52, 7, 77, 59, 93]
  Compare 77 and 59
  Swap 77 and 59
  List after swap: [-84, -81, 17, -55, -47, 52, 7, 59, 77, 93]

Pass 3:
  Compare -84 and -81
  No swap needed
  Compare -81 and 17
  No swap needed
  Compare 17 and -55
  Swap 17 and -55
  List after swap: [-84, -81, -55, 17, -47, 52, 7, 59, 77, 93]
  Compare 17 and -47
  Swap 17 and -47
  List after swap: [-84, -81, -55, -47, 17, 52, 7, 59, 77, 93]
  Compare 17 and 52
  No swap needed
  Compare 52 and 7
  Swap 52 and 7
  List after swap: [-84, -81, -55, -47, 17, 7, 52, 59, 77, 93]
  Compare 52 and 59
  No swap needed

Pass 4:
  Compare -84 and -81
  No swap needed
  Compare -81 and -55
  No swap needed
  Compare -55 and -47
  No swap needed
  Compare -47 and 17
  No swap needed
  Compare 17 and 7
  Swap 17 and 7
  List after swap: [-84, -81, -55, -47, 7, 17, 52, 59, 77, 93]
  Compare 17 and 52
  No swap needed

Pass 5:
  Compare -84 and -81
  No swap needed
  Compare -81 and -55
  No swap needed
  Compare -55 and -47
  No swap needed
  Compare -47 and 7
  No swap needed
  Compare 7 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -81, -55, -47, 7, 17, 52, 59, 77, 93]
</think>

<response>-84, -81, -55, -47, 7, 17, 52, 59, 77, 93</response>


input: Using the bubble sort method, sort -34, 47, 50, -80, 16, -69, 55, 64 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-34, 47, 50, -80, 16, -69, 55, 64]

Pass 1:
  Compare -34 and 47
  No swap needed
  Compare 47 and 50
  No swap needed
  Compare 50 and -80
  Swap 50 and -80
  List after swap: [-34, 47, -80, 50, 16, -69, 55, 64]
  Compare 50 and 16
  Swap 50 and 16
  List after swap: [-34, 47, -80, 16, 50, -69, 55, 64]
  Compare 50 and -69
  Swap 50 and -69
  List after swap: [-34, 47, -80, 16, -69, 50, 55, 64]
  Compare 50 and 55
  No swap needed
  Compare 55 and 64
  No swap needed

Pass 2:
  Compare -34 and 47
  No swap needed
  Compare 47 and -80
  Swap 47 and -80
  List after swap: [-34, -80, 47, 16, -69, 50, 55, 64]
  Compare 47 and 16
  Swap 47 and 16
  List after swap: [-34, -80, 16, 47, -69, 50, 55, 64]
  Compare 47 and -69
  Swap 47 and -69
  List after swap: [-34, -80, 16, -69, 47, 50, 55, 64]
  Compare 47 and 50
  No swap needed
  Compare 50 and 55
  No swap needed

Pass 3:
  Compare -34 and -80
  Swap -34 and -80
  List after swap: [-80, -34, 16, -69, 47, 50, 55, 64]
  Compare -34 and 16
  No swap needed
  Compare 16 and -69
  Swap 16 and -69
  List after swap: [-80, -34, -69, 16, 47, 50, 55, 64]
  Compare 16 and 47
  No swap needed
  Compare 47 and 50
  No swap needed

Pass 4:
  Compare -80 and -34
  No swap needed
  Compare -34 and -69
  Swap -34 and -69
  List after swap: [-80, -69, -34, 16, 47, 50, 55, 64]
  Compare -34 and 16
  No swap needed
  Compare 16 and 47
  No swap needed

Pass 5:
  Compare -80 and -69
  No swap needed
  Compare -69 and -34
  No swap needed
  Compare -34 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -69, -34, 16, 47, 50, 55, 64]
</think>

<response>-80, -69, -34, 16, 47, 50, 55, 64</response>


input: Execute bubble sort to sort 91, 70, -49, -87, 47, 21 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [91, 70, -49, -87, 47, 21]

Pass 1:
  Compare 91 and 70
  Swap 91 and 70
  List after swap: [70, 91, -49, -87, 47, 21]
  Compare 91 and -49
  Swap 91 and -49
  List after swap: [70, -49, 91, -87, 47, 21]
  Compare 91 and -87
  Swap 91 and -87
  List after swap: [70, -49, -87, 91, 47, 21]
  Compare 91 and 47
  Swap 91 and 47
  List after swap: [70, -49, -87, 47, 91, 21]
  Compare 91 and 21
  Swap 91 and 21
  List after swap: [70, -49, -87, 47, 21, 91]

Pass 2:
  Compare 70 and -49
  Swap 70 and -49
  List after swap: [-49, 70, -87, 47, 21, 91]
  Compare 70 and -87
  Swap 70 and -87
  List after swap: [-49, -87, 70, 47, 21, 91]
  Compare 70 and 47
  Swap 70 and 47
  List after swap: [-49, -87, 47, 70, 21, 91]
  Compare 70 and 21
  Swap 70 and 21
  List after swap: [-49, -87, 47, 21, 70, 91]

Pass 3:
  Compare -49 and -87
  Swap -49 and -87
  List after swap: [-87, -49, 47, 21, 70, 91]
  Compare -49 and 47
  No swap needed
  Compare 47 and 21
  Swap 47 and 21
  List after swap: [-87, -49, 21, 47, 70, 91]

Pass 4:
  Compare -87 and -49
  No swap needed
  Compare -49 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -49, 21, 47, 70, 91]
</think>

<response>-87, -49, 21, 47, 70, 91</response>


input: Execute bubble sort to sort -26, 66, 32, 71 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-26, 66, 32, 71]

Pass 1:
  Compare -26 and 66
  No swap needed
  Compare 66 and 32
  Swap 66 and 32
  List after swap: [-26, 32, 66, 71]
  Compare 66 and 71
  No swap needed

Pass 2:
  Compare -26 and 32
  No swap needed
  Compare 32 and 66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, 32, 66, 71]
</think>

<response>-26, 32, 66, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 28, -62.

output:
<think>
Initial list: [28, -62]

Pass 1:
  Compare 28 and -62
  Swap 28 and -62
  List after swap: [-62, 28]

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

Final sorted list: [-62, 28]
</think>

<response>-62, 28</response>


input: Demonstrate how bubble sort orders the integers 80, 76, -26, -36, 5, -11 in ascending sequence, showing all steps.

output:
<think>
Initial list: [80, 76, -26, -36, 5, -11]

Pass 1:
  Compare 80 and 76
  Swap 80 and 76
  List after swap: [76, 80, -26, -36, 5, -11]
  Compare 80 and -26
  Swap 80 and -26
  List after swap: [76, -26, 80, -36, 5, -11]
  Compare 80 and -36
  Swap 80 and -36
  List after swap: [76, -26, -36, 80, 5, -11]
  Compare 80 and 5
  Swap 80 and 5
  List after swap: [76, -26, -36, 5, 80, -11]
  Compare 80 and -11
  Swap 80 and -11
  List after swap: [76, -26, -36, 5, -11, 80]

Pass 2:
  Compare 76 and -26
  Swap 76 and -26
  List after swap: [-26, 76, -36, 5, -11, 80]
  Compare 76 and -36
  Swap 76 and -36
  List after swap: [-26, -36, 76, 5, -11, 80]
  Compare 76 and 5
  Swap 76 and 5
  List after swap: [-26, -36, 5, 76, -11, 80]
  Compare 76 and -11
  Swap 76 and -11
  List after swap: [-26, -36, 5, -11, 76, 80]

Pass 3:
  Compare -26 and -36
  Swap -26 and -36
  List after swap: [-36, -26, 5, -11, 76, 80]
  Compare -26 and 5
  No swap needed
  Compare 5 and -11
  Swap 5 and -11
  List after swap: [-36, -26, -11, 5, 76, 80]

Pass 4:
  Compare -36 and -26
  No swap needed
  Compare -26 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -26, -11, 5, 76, 80]
</think>

<response>-36, -26, -11, 5, 76, 80</response>


input: Perform a bubble sort on the integers -27, 77, -85, 79, 13, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-27, 77, -85, 79, 13]

Pass 1:
  Compare -27 and 77
  No swap needed
  Compare 77 and -85
  Swap 77 and -85
  List after swap: [-27, -85, 77, 79, 13]
  Compare 77 and 79
  No swap needed
  Compare 79 and 13
  Swap 79 and 13
  List after swap: [-27, -85, 77, 13, 79]

Pass 2:
  Compare -27 and -85
  Swap -27 and -85
  List after swap: [-85, -27, 77, 13, 79]
  Compare -27 and 77
  No swap needed
  Compare 77 and 13
  Swap 77 and 13
  List after swap: [-85, -27, 13, 77, 79]

Pass 3:
  Compare -85 and -27
  No swap needed
  Compare -27 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -27, 13, 77, 79]
</think>

<response>-85, -27, 13, 77, 79</response>


input: Carry out the bubble sort algorithm on 82, -40, 80, 67, 20 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [82, -40, 80, 67, 20]

Pass 1:
  Compare 82 and -40
  Swap 82 and -40
  List after swap: [-40, 82, 80, 67, 20]
  Compare 82 and 80
  Swap 82 and 80
  List after swap: [-40, 80, 82, 67, 20]
  Compare 82 and 67
  Swap 82 and 67
  List after swap: [-40, 80, 67, 82, 20]
  Compare 82 and 20
  Swap 82 and 20
  List after swap: [-40, 80, 67, 20, 82]

Pass 2:
  Compare -40 and 80
  No swap needed
  Compare 80 and 67
  Swap 80 and 67
  List after swap: [-40, 67, 80, 20, 82]
  Compare 80 and 20
  Swap 80 and 20
  List after swap: [-40, 67, 20, 80, 82]

Pass 3:
  Compare -40 and 67
  No swap needed
  Compare 67 and 20
  Swap 67 and 20
  List after swap: [-40, 20, 67, 80, 82]

Pass 4:
  Compare -40 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, 20, 67, 80, 82]
</think>

<response>-40, 20, 67, 80, 82</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -49, -81, 77, 95, 82, 15.

output:
<think>
Initial list: [-49, -81, 77, 95, 82, 15]

Pass 1:
  Compare -49 and -81
  Swap -49 and -81
  List after swap: [-81, -49, 77, 95, 82, 15]
  Compare -49 and 77
  No swap needed
  Compare 77 and 95
  No swap needed
  Compare 95 and 82
  Swap 95 and 82
  List after swap: [-81, -49, 77, 82, 95, 15]
  Compare 95 and 15
  Swap 95 and 15
  List after swap: [-81, -49, 77, 82, 15, 95]

Pass 2:
  Compare -81 and -49
  No swap needed
  Compare -49 and 77
  No swap needed
  Compare 77 and 82
  No swap needed
  Compare 82 and 15
  Swap 82 and 15
  List after swap: [-81, -49, 77, 15, 82, 95]

Pass 3:
  Compare -81 and -49
  No swap needed
  Compare -49 and 77
  No swap needed
  Compare 77 and 15
  Swap 77 and 15
  List after swap: [-81, -49, 15, 77, 82, 95]

Pass 4:
  Compare -81 and -49
  No swap needed
  Compare -49 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -49, 15, 77, 82, 95]
</think>

<response>-81, -49, 15, 77, 82, 95</response>


input: Perform a bubble sort on the integers 49, -61, 92, 32, -21, -7, 43, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [49, -61, 92, 32, -21, -7, 43]

Pass 1:
  Compare 49 and -61
  Swap 49 and -61
  List after swap: [-61, 49, 92, 32, -21, -7, 43]
  Compare 49 and 92
  No swap needed
  Compare 92 and 32
  Swap 92 and 32
  List after swap: [-61, 49, 32, 92, -21, -7, 43]
  Compare 92 and -21
  Swap 92 and -21
  List after swap: [-61, 49, 32, -21, 92, -7, 43]
  Compare 92 and -7
  Swap 92 and -7
  List after swap: [-61, 49, 32, -21, -7, 92, 43]
  Compare 92 and 43
  Swap 92 and 43
  List after swap: [-61, 49, 32, -21, -7, 43, 92]

Pass 2:
  Compare -61 and 49
  No swap needed
  Compare 49 and 32
  Swap 49 and 32
  List after swap: [-61, 32, 49, -21, -7, 43, 92]
  Compare 49 and -21
  Swap 49 and -21
  List after swap: [-61, 32, -21, 49, -7, 43, 92]
  Compare 49 and -7
  Swap 49 and -7
  List after swap: [-61, 32, -21, -7, 49, 43, 92]
  Compare 49 and 43
  Swap 49 and 43
  List after swap: [-61, 32, -21, -7, 43, 49, 92]

Pass 3:
  Compare -61 and 32
  No swap needed
  Compare 32 and -21
  Swap 32 and -21
  List after swap: [-61, -21, 32, -7, 43, 49, 92]
  Compare 32 and -7
  Swap 32 and -7
  List after swap: [-61, -21, -7, 32, 43, 49, 92]
  Compare 32 and 43
  No swap needed

Pass 4:
  Compare -61 and -21
  No swap needed
  Compare -21 and -7
  No swap needed
  Compare -7 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -21, -7, 32, 43, 49, 92]
</think>

<response>-61, -21, -7, 32, 43, 49, 92</response>


input: Execute bubble sort to sort -30, -23 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-30, -23]

Pass 1:
  Compare -30 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -23]
</think>

<response>-30, -23</response>


input: Sort these integers 14, 68, -49, -19, 72, 46, 31, 0, -54 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [14, 68, -49, -19, 72, 46, 31, 0, -54]

Pass 1:
  Compare 14 and 68
  No swap needed
  Compare 68 and -49
  Swap 68 and -49
  List after swap: [14, -49, 68, -19, 72, 46, 31, 0, -54]
  Compare 68 and -19
  Swap 68 and -19
  List after swap: [14, -49, -19, 68, 72, 46, 31, 0, -54]
  Compare 68 and 72
  No swap needed
  Compare 72 and 46
  Swap 72 and 46
  List after swap: [14, -49, -19, 68, 46, 72, 31, 0, -54]
  Compare 72 and 31
  Swap 72 and 31
  List after swap: [14, -49, -19, 68, 46, 31, 72, 0, -54]
  Compare 72 and 0
  Swap 72 and 0
  List after swap: [14, -49, -19, 68, 46, 31, 0, 72, -54]
  Compare 72 and -54
  Swap 72 and -54
  List after swap: [14, -49, -19, 68, 46, 31, 0, -54, 72]

Pass 2:
  Compare 14 and -49
  Swap 14 and -49
  List after swap: [-49, 14, -19, 68, 46, 31, 0, -54, 72]
  Compare 14 and -19
  Swap 14 and -19
  List after swap: [-49, -19, 14, 68, 46, 31, 0, -54, 72]
  Compare 14 and 68
  No swap needed
  Compare 68 and 46
  Swap 68 and 46
  List after swap: [-49, -19, 14, 46, 68, 31, 0, -54, 72]
  Compare 68 and 31
  Swap 68 and 31
  List after swap: [-49, -19, 14, 46, 31, 68, 0, -54, 72]
  Compare 68 and 0
  Swap 68 and 0
  List after swap: [-49, -19, 14, 46, 31, 0, 68, -54, 72]
  Compare 68 and -54
  Swap 68 and -54
  List after swap: [-49, -19, 14, 46, 31, 0, -54, 68, 72]

Pass 3:
  Compare -49 and -19
  No swap needed
  Compare -19 and 14
  No swap needed
  Compare 14 and 46
  No swap needed
  Compare 46 and 31
  Swap 46 and 31
  List after swap: [-49, -19, 14, 31, 46, 0, -54, 68, 72]
  Compare 46 and 0
  Swap 46 and 0
  List after swap: [-49, -19, 14, 31, 0, 46, -54, 68, 72]
  Compare 46 and -54
  Swap 46 and -54
  List after swap: [-49, -19, 14, 31, 0, -54, 46, 68, 72]

Pass 4:
  Compare -49 and -19
  No swap needed
  Compare -19 and 14
  No swap needed
  Compare 14 and 31
  No swap needed
  Compare 31 and 0
  Swap 31 and 0
  List after swap: [-49, -19, 14, 0, 31, -54, 46, 68, 72]
  Compare 31 and -54
  Swap 31 and -54
  List after swap: [-49, -19, 14, 0, -54, 31, 46, 68, 72]

Pass 5:
  Compare -49 and -19
  No swap needed
  Compare -19 and 14
  No swap needed
  Compare 14 and 0
  Swap 14 and 0
  List after swap: [-49, -19, 0, 14, -54, 31, 46, 68, 72]
  Compare 14 and -54
  Swap 14 and -54
  List after swap: [-49, -19, 0, -54, 14, 31, 46, 68, 72]

Pass 6:
  Compare -49 and -19
  No swap needed
  Compare -19 and 0
  No swap needed
  Compare 0 and -54
  Swap 0 and -54
  List after swap: [-49, -19, -54, 0, 14, 31, 46, 68, 72]

Pass 7:
  Compare -49 and -19
  No swap needed
  Compare -19 and -54
  Swap -19 and -54
  List after swap: [-49, -54, -19, 0, 14, 31, 46, 68, 72]

Pass 8:
  Compare -49 and -54
  Swap -49 and -54
  List after swap: [-54, -49, -19, 0, 14, 31, 46, 68, 72]

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

Final sorted list: [-54, -49, -19, 0, 14, 31, 46, 68, 72]
</think>

<response>-54, -49, -19, 0, 14, 31, 46, 68, 72</response>


input: Implement bubble sort on -69, -23, -7, 45, 16, -49 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-69, -23, -7, 45, 16, -49]

Pass 1:
  Compare -69 and -23
  No swap needed
  Compare -23 and -7
  No swap needed
  Compare -7 and 45
  No swap needed
  Compare 45 and 16
  Swap 45 and 16
  List after swap: [-69, -23, -7, 16, 45, -49]
  Compare 45 and -49
  Swap 45 and -49
  List after swap: [-69, -23, -7, 16, -49, 45]

Pass 2:
  Compare -69 and -23
  No swap needed
  Compare -23 and -7
  No swap needed
  Compare -7 and 16
  No swap needed
  Compare 16 and -49
  Swap 16 and -49
  List after swap: [-69, -23, -7, -49, 16, 45]

Pass 3:
  Compare -69 and -23
  No swap needed
  Compare -23 and -7
  No swap needed
  Compare -7 and -49
  Swap -7 and -49
  List after swap: [-69, -23, -49, -7, 16, 45]

Pass 4:
  Compare -69 and -23
  No swap needed
  Compare -23 and -49
  Swap -23 and -49
  List after swap: [-69, -49, -23, -7, 16, 45]

Pass 5:
  Compare -69 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -49, -23, -7, 16, 45]
</think>

<response>-69, -49, -23, -7, 16, 45</response>


input: Sort these integers 90, -100 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [90, -100]

Pass 1:
  Compare 90 and -100
  Swap 90 and -100
  List after swap: [-100, 90]

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

Final sorted list: [-100, 90]
</think>

<response>-100, 90</response>


input: Sort these integers -99, -87, 19, 2, -81, 23, -44, -16, -15, 75 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-99, -87, 19, 2, -81, 23, -44, -16, -15, 75]

Pass 1:
  Compare -99 and -87
  No swap needed
  Compare -87 and 19
  No swap needed
  Compare 19 and 2
  Swap 19 and 2
  List after swap: [-99, -87, 2, 19, -81, 23, -44, -16, -15, 75]
  Compare 19 and -81
  Swap 19 and -81
  List after swap: [-99, -87, 2, -81, 19, 23, -44, -16, -15, 75]
  Compare 19 and 23
  No swap needed
  Compare 23 and -44
  Swap 23 and -44
  List after swap: [-99, -87, 2, -81, 19, -44, 23, -16, -15, 75]
  Compare 23 and -16
  Swap 23 and -16
  List after swap: [-99, -87, 2, -81, 19, -44, -16, 23, -15, 75]
  Compare 23 and -15
  Swap 23 and -15
  List after swap: [-99, -87, 2, -81, 19, -44, -16, -15, 23, 75]
  Compare 23 and 75
  No swap needed

Pass 2:
  Compare -99 and -87
  No swap needed
  Compare -87 and 2
  No swap needed
  Compare 2 and -81
  Swap 2 and -81
  List after swap: [-99, -87, -81, 2, 19, -44, -16, -15, 23, 75]
  Compare 2 and 19
  No swap needed
  Compare 19 and -44
  Swap 19 and -44
  List after swap: [-99, -87, -81, 2, -44, 19, -16, -15, 23, 75]
  Compare 19 and -16
  Swap 19 and -16
  List after swap: [-99, -87, -81, 2, -44, -16, 19, -15, 23, 75]
  Compare 19 and -15
  Swap 19 and -15
  List after swap: [-99, -87, -81, 2, -44, -16, -15, 19, 23, 75]
  Compare 19 and 23
  No swap needed

Pass 3:
  Compare -99 and -87
  No swap needed
  Compare -87 and -81
  No swap needed
  Compare -81 and 2
  No swap needed
  Compare 2 and -44
  Swap 2 and -44
  List after swap: [-99, -87, -81, -44, 2, -16, -15, 19, 23, 75]
  Compare 2 and -16
  Swap 2 and -16
  List after swap: [-99, -87, -81, -44, -16, 2, -15, 19, 23, 75]
  Compare 2 and -15
  Swap 2 and -15
  List after swap: [-99, -87, -81, -44, -16, -15, 2, 19, 23, 75]
  Compare 2 and 19
  No swap needed

Pass 4:
  Compare -99 and -87
  No swap needed
  Compare -87 and -81
  No swap needed
  Compare -81 and -44
  No swap needed
  Compare -44 and -16
  No swap needed
  Compare -16 and -15
  No swap needed
  Compare -15 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -87, -81, -44, -16, -15, 2, 19, 23, 75]
</think>

<response>-99, -87, -81, -44, -16, -15, 2, 19, 23, 75</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -57, -78, 24, -7, 55, 93, 60, 98, -9.

output:
<think>
Initial list: [-57, -78, 24, -7, 55, 93, 60, 98, -9]

Pass 1:
  Compare -57 and -78
  Swap -57 and -78
  List after swap: [-78, -57, 24, -7, 55, 93, 60, 98, -9]
  Compare -57 and 24
  No swap needed
  Compare 24 and -7
  Swap 24 and -7
  List after swap: [-78, -57, -7, 24, 55, 93, 60, 98, -9]
  Compare 24 and 55
  No swap needed
  Compare 55 and 93
  No swap needed
  Compare 93 and 60
  Swap 93 and 60
  List after swap: [-78, -57, -7, 24, 55, 60, 93, 98, -9]
  Compare 93 and 98
  No swap needed
  Compare 98 and -9
  Swap 98 and -9
  List after swap: [-78, -57, -7, 24, 55, 60, 93, -9, 98]

Pass 2:
  Compare -78 and -57
  No swap needed
  Compare -57 and -7
  No swap needed
  Compare -7 and 24
  No swap needed
  Compare 24 and 55
  No swap needed
  Compare 55 and 60
  No swap needed
  Compare 60 and 93
  No swap needed
  Compare 93 and -9
  Swap 93 and -9
  List after swap: [-78, -57, -7, 24, 55, 60, -9, 93, 98]

Pass 3:
  Compare -78 and -57
  No swap needed
  Compare -57 and -7
  No swap needed
  Compare -7 and 24
  No swap needed
  Compare 24 and 55
  No swap needed
  Compare 55 and 60
  No swap needed
  Compare 60 and -9
  Swap 60 and -9
  List after swap: [-78, -57, -7, 24, 55, -9, 60, 93, 98]

Pass 4:
  Compare -78 and -57
  No swap needed
  Compare -57 and -7
  No swap needed
  Compare -7 and 24
  No swap needed
  Compare 24 and 55
  No swap needed
  Compare 55 and -9
  Swap 55 and -9
  List after swap: [-78, -57, -7, 24, -9, 55, 60, 93, 98]

Pass 5:
  Compare -78 and -57
  No swap needed
  Compare -57 and -7
  No swap needed
  Compare -7 and 24
  No swap needed
  Compare 24 and -9
  Swap 24 and -9
  List after swap: [-78, -57, -7, -9, 24, 55, 60, 93, 98]

Pass 6:
  Compare -78 and -57
  No swap needed
  Compare -57 and -7
  No swap needed
  Compare -7 and -9
  Swap -7 and -9
  List after swap: [-78, -57, -9, -7, 24, 55, 60, 93, 98]

Pass 7:
  Compare -78 and -57
  No swap needed
  Compare -57 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -57, -9, -7, 24, 55, 60, 93, 98]
</think>

<response>-78, -57, -9, -7, 24, 55, 60, 93, 98</response>


input: Sort the list -14, 43, -95, -17, 31, -3, -65, 5 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-14, 43, -95, -17, 31, -3, -65, 5]

Pass 1:
  Compare -14 and 43
  No swap needed
  Compare 43 and -95
  Swap 43 and -95
  List after swap: [-14, -95, 43, -17, 31, -3, -65, 5]
  Compare 43 and -17
  Swap 43 and -17
  List after swap: [-14, -95, -17, 43, 31, -3, -65, 5]
  Compare 43 and 31
  Swap 43 and 31
  List after swap: [-14, -95, -17, 31, 43, -3, -65, 5]
  Compare 43 and -3
  Swap 43 and -3
  List after swap: [-14, -95, -17, 31, -3, 43, -65, 5]
  Compare 43 and -65
  Swap 43 and -65
  List after swap: [-14, -95, -17, 31, -3, -65, 43, 5]
  Compare 43 and 5
  Swap 43 and 5
  List after swap: [-14, -95, -17, 31, -3, -65, 5, 43]

Pass 2:
  Compare -14 and -95
  Swap -14 and -95
  List after swap: [-95, -14, -17, 31, -3, -65, 5, 43]
  Compare -14 and -17
  Swap -14 and -17
  List after swap: [-95, -17, -14, 31, -3, -65, 5, 43]
  Compare -14 and 31
  No swap needed
  Compare 31 and -3
  Swap 31 and -3
  List after swap: [-95, -17, -14, -3, 31, -65, 5, 43]
  Compare 31 and -65
  Swap 31 and -65
  List after swap: [-95, -17, -14, -3, -65, 31, 5, 43]
  Compare 31 and 5
  Swap 31 and 5
  List after swap: [-95, -17, -14, -3, -65, 5, 31, 43]

Pass 3:
  Compare -95 and -17
  No swap needed
  Compare -17 and -14
  No swap needed
  Compare -14 and -3
  No swap needed
  Compare -3 and -65
  Swap -3 and -65
  List after swap: [-95, -17, -14, -65, -3, 5, 31, 43]
  Compare -3 and 5
  No swap needed

Pass 4:
  Compare -95 and -17
  No swap needed
  Compare -17 and -14
  No swap needed
  Compare -14 and -65
  Swap -14 and -65
  List after swap: [-95, -17, -65, -14, -3, 5, 31, 43]
  Compare -14 and -3
  No swap needed

Pass 5:
  Compare -95 and -17
  No swap needed
  Compare -17 and -65
  Swap -17 and -65
  List after swap: [-95, -65, -17, -14, -3, 5, 31, 43]
  Compare -17 and -14
  No swap needed

Pass 6:
  Compare -95 and -65
  No swap needed
  Compare -65 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -65, -17, -14, -3, 5, 31, 43]
</think>

<response>-95, -65, -17, -14, -3, 5, 31, 43</response>


input: Use the bubble sort technique to reorder -93, 55, -2 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-93, 55, -2]

Pass 1:
  Compare -93 and 55
  No swap needed
  Compare 55 and -2
  Swap 55 and -2
  List after swap: [-93, -2, 55]

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

Final sorted list: [-93, -2, 55]
</think>

<response>-93, -2, 55</response>


input: Using the bubble sort method, sort 83, 13, 2, 94, 79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [83, 13, 2, 94, 79]

Pass 1:
  Compare 83 and 13
  Swap 83 and 13
  List after swap: [13, 83, 2, 94, 79]
  Compare 83 and 2
  Swap 83 and 2
  List after swap: [13, 2, 83, 94, 79]
  Compare 83 and 94
  No swap needed
  Compare 94 and 79
  Swap 94 and 79
  List after swap: [13, 2, 83, 79, 94]

Pass 2:
  Compare 13 and 2
  Swap 13 and 2
  List after swap: [2, 13, 83, 79, 94]
  Compare 13 and 83
  No swap needed
  Compare 83 and 79
  Swap 83 and 79
  List after swap: [2, 13, 79, 83, 94]

Pass 3:
  Compare 2 and 13
  No swap needed
  Compare 13 and 79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [2, 13, 79, 83, 94]
</think>

<response>2, 13, 79, 83, 94</response>


input: Sort the list 8, 25, 43, -81, -63, 52, 37, 36, 89, 34 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [8, 25, 43, -81, -63, 52, 37, 36, 89, 34]

Pass 1:
  Compare 8 and 25
  No swap needed
  Compare 25 and 43
  No swap needed
  Compare 43 and -81
  Swap 43 and -81
  List after swap: [8, 25, -81, 43, -63, 52, 37, 36, 89, 34]
  Compare 43 and -63
  Swap 43 and -63
  List after swap: [8, 25, -81, -63, 43, 52, 37, 36, 89, 34]
  Compare 43 and 52
  No swap needed
  Compare 52 and 37
  Swap 52 and 37
  List after swap: [8, 25, -81, -63, 43, 37, 52, 36, 89, 34]
  Compare 52 and 36
  Swap 52 and 36
  List after swap: [8, 25, -81, -63, 43, 37, 36, 52, 89, 34]
  Compare 52 and 89
  No swap needed
  Compare 89 and 34
  Swap 89 and 34
  List after swap: [8, 25, -81, -63, 43, 37, 36, 52, 34, 89]

Pass 2:
  Compare 8 and 25
  No swap needed
  Compare 25 and -81
  Swap 25 and -81
  List after swap: [8, -81, 25, -63, 43, 37, 36, 52, 34, 89]
  Compare 25 and -63
  Swap 25 and -63
  List after swap: [8, -81, -63, 25, 43, 37, 36, 52, 34, 89]
  Compare 25 and 43
  No swap needed
  Compare 43 and 37
  Swap 43 and 37
  List after swap: [8, -81, -63, 25, 37, 43, 36, 52, 34, 89]
  Compare 43 and 36
  Swap 43 and 36
  List after swap: [8, -81, -63, 25, 37, 36, 43, 52, 34, 89]
  Compare 43 and 52
  No swap needed
  Compare 52 and 34
  Swap 52 and 34
  List after swap: [8, -81, -63, 25, 37, 36, 43, 34, 52, 89]

Pass 3:
  Compare 8 and -81
  Swap 8 and -81
  List after swap: [-81, 8, -63, 25, 37, 36, 43, 34, 52, 89]
  Compare 8 and -63
  Swap 8 and -63
  List after swap: [-81, -63, 8, 25, 37, 36, 43, 34, 52, 89]
  Compare 8 and 25
  No swap needed
  Compare 25 and 37
  No swap needed
  Compare 37 and 36
  Swap 37 and 36
  List after swap: [-81, -63, 8, 25, 36, 37, 43, 34, 52, 89]
  Compare 37 and 43
  No swap needed
  Compare 43 and 34
  Swap 43 and 34
  List after swap: [-81, -63, 8, 25, 36, 37, 34, 43, 52, 89]

Pass 4:
  Compare -81 and -63
  No swap needed
  Compare -63 and 8
  No swap needed
  Compare 8 and 25
  No swap needed
  Compare 25 and 36
  No swap needed
  Compare 36 and 37
  No swap needed
  Compare 37 and 34
  Swap 37 and 34
  List after swap: [-81, -63, 8, 25, 36, 34, 37, 43, 52, 89]

Pass 5:
  Compare -81 and -63
  No swap needed
  Compare -63 and 8
  No swap needed
  Compare 8 and 25
  No swap needed
  Compare 25 and 36
  No swap needed
  Compare 36 and 34
  Swap 36 and 34
  List after swap: [-81, -63, 8, 25, 34, 36, 37, 43, 52, 89]

Pass 6:
  Compare -81 and -63
  No swap needed
  Compare -63 and 8
  No swap needed
  Compare 8 and 25
  No swap needed
  Compare 25 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -63, 8, 25, 34, 36, 37, 43, 52, 89]
</think>

<response>-81, -63, 8, 25, 34, 36, 37, 43, 52, 89</response>


input: Arrange the numbers -83, 52, 31, 82, 43, -35, -41, -3 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-83, 52, 31, 82, 43, -35, -41, -3]

Pass 1:
  Compare -83 and 52
  No swap needed
  Compare 52 and 31
  Swap 52 and 31
  List after swap: [-83, 31, 52, 82, 43, -35, -41, -3]
  Compare 52 and 82
  No swap needed
  Compare 82 and 43
  Swap 82 and 43
  List after swap: [-83, 31, 52, 43, 82, -35, -41, -3]
  Compare 82 and -35
  Swap 82 and -35
  List after swap: [-83, 31, 52, 43, -35, 82, -41, -3]
  Compare 82 and -41
  Swap 82 and -41
  List after swap: [-83, 31, 52, 43, -35, -41, 82, -3]
  Compare 82 and -3
  Swap 82 and -3
  List after swap: [-83, 31, 52, 43, -35, -41, -3, 82]

Pass 2:
  Compare -83 and 31
  No swap needed
  Compare 31 and 52
  No swap needed
  Compare 52 and 43
  Swap 52 and 43
  List after swap: [-83, 31, 43, 52, -35, -41, -3, 82]
  Compare 52 and -35
  Swap 52 and -35
  List after swap: [-83, 31, 43, -35, 52, -41, -3, 82]
  Compare 52 and -41
  Swap 52 and -41
  List after swap: [-83, 31, 43, -35, -41, 52, -3, 82]
  Compare 52 and -3
  Swap 52 and -3
  List after swap: [-83, 31, 43, -35, -41, -3, 52, 82]

Pass 3:
  Compare -83 and 31
  No swap needed
  Compare 31 and 43
  No swap needed
  Compare 43 and -35
  Swap 43 and -35
  List after swap: [-83, 31, -35, 43, -41, -3, 52, 82]
  Compare 43 and -41
  Swap 43 and -41
  List after swap: [-83, 31, -35, -41, 43, -3, 52, 82]
  Compare 43 and -3
  Swap 43 and -3
  List after swap: [-83, 31, -35, -41, -3, 43, 52, 82]

Pass 4:
  Compare -83 and 31
  No swap needed
  Compare 31 and -35
  Swap 31 and -35
  List after swap: [-83, -35, 31, -41, -3, 43, 52, 82]
  Compare 31 and -41
  Swap 31 and -41
  List after swap: [-83, -35, -41, 31, -3, 43, 52, 82]
  Compare 31 and -3
  Swap 31 and -3
  List after swap: [-83, -35, -41, -3, 31, 43, 52, 82]

Pass 5:
  Compare -83 and -35
  No swap needed
  Compare -35 and -41
  Swap -35 and -41
  List after swap: [-83, -41, -35, -3, 31, 43, 52, 82]
  Compare -35 and -3
  No swap needed

Pass 6:
  Compare -83 and -41
  No swap needed
  Compare -41 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -41, -35, -3, 31, 43, 52, 82]
</think>

<response>-83, -41, -35, -3, 31, 43, 52, 82</response>


input: Sort the list 31, 98, 63 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [31, 98, 63]

Pass 1:
  Compare 31 and 98
  No swap needed
  Compare 98 and 63
  Swap 98 and 63
  List after swap: [31, 63, 98]

Pass 2:
  Compare 31 and 63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [31, 63, 98]
</think>

<response>31, 63, 98</response>


input: Execute bubble sort to sort -19, -79, 95, 98 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-19, -79, 95, 98]

Pass 1:
  Compare -19 and -79
  Swap -19 and -79
  List after swap: [-79, -19, 95, 98]
  Compare -19 and 95
  No swap needed
  Compare 95 and 98
  No swap needed

Pass 2:
  Compare -79 and -19
  No swap needed
  Compare -19 and 95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -19, 95, 98]
</think>

<response>-79, -19, 95, 98</response>


input: Execute bubble sort to sort -15, 67, 62, -23 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-15, 67, 62, -23]

Pass 1:
  Compare -15 and 67
  No swap needed
  Compare 67 and 62
  Swap 67 and 62
  List after swap: [-15, 62, 67, -23]
  Compare 67 and -23
  Swap 67 and -23
  List after swap: [-15, 62, -23, 67]

Pass 2:
  Compare -15 and 62
  No swap needed
  Compare 62 and -23
  Swap 62 and -23
  List after swap: [-15, -23, 62, 67]

Pass 3:
  Compare -15 and -23
  Swap -15 and -23
  List after swap: [-23, -15, 62, 67]

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

Final sorted list: [-23, -15, 62, 67]
</think>

<response>-23, -15, 62, 67</response>


input: Carry out the bubble sort algorithm on 41, -39, -64, -58, 27, -96, 10, -51 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [41, -39, -64, -58, 27, -96, 10, -51]

Pass 1:
  Compare 41 and -39
  Swap 41 and -39
  List after swap: [-39, 41, -64, -58, 27, -96, 10, -51]
  Compare 41 and -64
  Swap 41 and -64
  List after swap: [-39, -64, 41, -58, 27, -96, 10, -51]
  Compare 41 and -58
  Swap 41 and -58
  List after swap: [-39, -64, -58, 41, 27, -96, 10, -51]
  Compare 41 and 27
  Swap 41 and 27
  List after swap: [-39, -64, -58, 27, 41, -96, 10, -51]
  Compare 41 and -96
  Swap 41 and -96
  List after swap: [-39, -64, -58, 27, -96, 41, 10, -51]
  Compare 41 and 10
  Swap 41 and 10
  List after swap: [-39, -64, -58, 27, -96, 10, 41, -51]
  Compare 41 and -51
  Swap 41 and -51
  List after swap: [-39, -64, -58, 27, -96, 10, -51, 41]

Pass 2:
  Compare -39 and -64
  Swap -39 and -64
  List after swap: [-64, -39, -58, 27, -96, 10, -51, 41]
  Compare -39 and -58
  Swap -39 and -58
  List after swap: [-64, -58, -39, 27, -96, 10, -51, 41]
  Compare -39 and 27
  No swap needed
  Compare 27 and -96
  Swap 27 and -96
  List after swap: [-64, -58, -39, -96, 27, 10, -51, 41]
  Compare 27 and 10
  Swap 27 and 10
  List after swap: [-64, -58, -39, -96, 10, 27, -51, 41]
  Compare 27 and -51
  Swap 27 and -51
  List after swap: [-64, -58, -39, -96, 10, -51, 27, 41]

Pass 3:
  Compare -64 and -58
  No swap needed
  Compare -58 and -39
  No swap needed
  Compare -39 and -96
  Swap -39 and -96
  List after swap: [-64, -58, -96, -39, 10, -51, 27, 41]
  Compare -39 and 10
  No swap needed
  Compare 10 and -51
  Swap 10 and -51
  List after swap: [-64, -58, -96, -39, -51, 10, 27, 41]

Pass 4:
  Compare -64 and -58
  No swap needed
  Compare -58 and -96
  Swap -58 and -96
  List after swap: [-64, -96, -58, -39, -51, 10, 27, 41]
  Compare -58 and -39
  No swap needed
  Compare -39 and -51
  Swap -39 and -51
  List after swap: [-64, -96, -58, -51, -39, 10, 27, 41]

Pass 5:
  Compare -64 and -96
  Swap -64 and -96
  List after swap: [-96, -64, -58, -51, -39, 10, 27, 41]
  Compare -64 and -58
  No swap needed
  Compare -58 and -51
  No swap needed

Pass 6:
  Compare -96 and -64
  No swap needed
  Compare -64 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -64, -58, -51, -39, 10, 27, 41]
</think>

<response>-96, -64, -58, -51, -39, 10, 27, 41</response>


input: Perform a bubble sort on the integers 69, -29, 63, 72, -66, 32, -9, 90, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [69, -29, 63, 72, -66, 32, -9, 90]

Pass 1:
  Compare 69 and -29
  Swap 69 and -29
  List after swap: [-29, 69, 63, 72, -66, 32, -9, 90]
  Compare 69 and 63
  Swap 69 and 63
  List after swap: [-29, 63, 69, 72, -66, 32, -9, 90]
  Compare 69 and 72
  No swap needed
  Compare 72 and -66
  Swap 72 and -66
  List after swap: [-29, 63, 69, -66, 72, 32, -9, 90]
  Compare 72 and 32
  Swap 72 and 32
  List after swap: [-29, 63, 69, -66, 32, 72, -9, 90]
  Compare 72 and -9
  Swap 72 and -9
  List after swap: [-29, 63, 69, -66, 32, -9, 72, 90]
  Compare 72 and 90
  No swap needed

Pass 2:
  Compare -29 and 63
  No swap needed
  Compare 63 and 69
  No swap needed
  Compare 69 and -66
  Swap 69 and -66
  List after swap: [-29, 63, -66, 69, 32, -9, 72, 90]
  Compare 69 and 32
  Swap 69 and 32
  List after swap: [-29, 63, -66, 32, 69, -9, 72, 90]
  Compare 69 and -9
  Swap 69 and -9
  List after swap: [-29, 63, -66, 32, -9, 69, 72, 90]
  Compare 69 and 72
  No swap needed

Pass 3:
  Compare -29 and 63
  No swap needed
  Compare 63 and -66
  Swap 63 and -66
  List after swap: [-29, -66, 63, 32, -9, 69, 72, 90]
  Compare 63 and 32
  Swap 63 and 32
  List after swap: [-29, -66, 32, 63, -9, 69, 72, 90]
  Compare 63 and -9
  Swap 63 and -9
  List after swap: [-29, -66, 32, -9, 63, 69, 72, 90]
  Compare 63 and 69
  No swap needed

Pass 4:
  Compare -29 and -66
  Swap -29 and -66
  List after swap: [-66, -29, 32, -9, 63, 69, 72, 90]
  Compare -29 and 32
  No swap needed
  Compare 32 and -9
  Swap 32 and -9
  List after swap: [-66, -29, -9, 32, 63, 69, 72, 90]
  Compare 32 and 63
  No swap needed

Pass 5:
  Compare -66 and -29
  No swap needed
  Compare -29 and -9
  No swap needed
  Compare -9 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -29, -9, 32, 63, 69, 72, 90]
</think>

<response>-66, -29, -9, 32, 63, 69, 72, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 65, -93, -60, 61, 47, -9, 40, -79, 17, -75.

output:
<think>
Initial list: [65, -93, -60, 61, 47, -9, 40, -79, 17, -75]

Pass 1:
  Compare 65 and -93
  Swap 65 and -93
  List after swap: [-93, 65, -60, 61, 47, -9, 40, -79, 17, -75]
  Compare 65 and -60
  Swap 65 and -60
  List after swap: [-93, -60, 65, 61, 47, -9, 40, -79, 17, -75]
  Compare 65 and 61
  Swap 65 and 61
  List after swap: [-93, -60, 61, 65, 47, -9, 40, -79, 17, -75]
  Compare 65 and 47
  Swap 65 and 47
  List after swap: [-93, -60, 61, 47, 65, -9, 40, -79, 17, -75]
  Compare 65 and -9
  Swap 65 and -9
  List after swap: [-93, -60, 61, 47, -9, 65, 40, -79, 17, -75]
  Compare 65 and 40
  Swap 65 and 40
  List after swap: [-93, -60, 61, 47, -9, 40, 65, -79, 17, -75]
  Compare 65 and -79
  Swap 65 and -79
  List after swap: [-93, -60, 61, 47, -9, 40, -79, 65, 17, -75]
  Compare 65 and 17
  Swap 65 and 17
  List after swap: [-93, -60, 61, 47, -9, 40, -79, 17, 65, -75]
  Compare 65 and -75
  Swap 65 and -75
  List after swap: [-93, -60, 61, 47, -9, 40, -79, 17, -75, 65]

Pass 2:
  Compare -93 and -60
  No swap needed
  Compare -60 and 61
  No swap needed
  Compare 61 and 47
  Swap 61 and 47
  List after swap: [-93, -60, 47, 61, -9, 40, -79, 17, -75, 65]
  Compare 61 and -9
  Swap 61 and -9
  List after swap: [-93, -60, 47, -9, 61, 40, -79, 17, -75, 65]
  Compare 61 and 40
  Swap 61 and 40
  List after swap: [-93, -60, 47, -9, 40, 61, -79, 17, -75, 65]
  Compare 61 and -79
  Swap 61 and -79
  List after swap: [-93, -60, 47, -9, 40, -79, 61, 17, -75, 65]
  Compare 61 and 17
  Swap 61 and 17
  List after swap: [-93, -60, 47, -9, 40, -79, 17, 61, -75, 65]
  Compare 61 and -75
  Swap 61 and -75
  List after swap: [-93, -60, 47, -9, 40, -79, 17, -75, 61, 65]

Pass 3:
  Compare -93 and -60
  No swap needed
  Compare -60 and 47
  No swap needed
  Compare 47 and -9
  Swap 47 and -9
  List after swap: [-93, -60, -9, 47, 40, -79, 17, -75, 61, 65]
  Compare 47 and 40
  Swap 47 and 40
  List after swap: [-93, -60, -9, 40, 47, -79, 17, -75, 61, 65]
  Compare 47 and -79
  Swap 47 and -79
  List after swap: [-93, -60, -9, 40, -79, 47, 17, -75, 61, 65]
  Compare 47 and 17
  Swap 47 and 17
  List after swap: [-93, -60, -9, 40, -79, 17, 47, -75, 61, 65]
  Compare 47 and -75
  Swap 47 and -75
  List after swap: [-93, -60, -9, 40, -79, 17, -75, 47, 61, 65]

Pass 4:
  Compare -93 and -60
  No swap needed
  Compare -60 and -9
  No swap needed
  Compare -9 and 40
  No swap needed
  Compare 40 and -79
  Swap 40 and -79
  List after swap: [-93, -60, -9, -79, 40, 17, -75, 47, 61, 65]
  Compare 40 and 17
  Swap 40 and 17
  List after swap: [-93, -60, -9, -79, 17, 40, -75, 47, 61, 65]
  Compare 40 and -75
  Swap 40 and -75
  List after swap: [-93, -60, -9, -79, 17, -75, 40, 47, 61, 65]

Pass 5:
  Compare -93 and -60
  No swap needed
  Compare -60 and -9
  No swap needed
  Compare -9 and -79
  Swap -9 and -79
  List after swap: [-93, -60, -79, -9, 17, -75, 40, 47, 61, 65]
  Compare -9 and 17
  No swap needed
  Compare 17 and -75
  Swap 17 and -75
  List after swap: [-93, -60, -79, -9, -75, 17, 40, 47, 61, 65]

Pass 6:
  Compare -93 and -60
  No swap needed
  Compare -60 and -79
  Swap -60 and -79
  List after swap: [-93, -79, -60, -9, -75, 17, 40, 47, 61, 65]
  Compare -60 and -9
  No swap needed
  Compare -9 and -75
  Swap -9 and -75
  List after swap: [-93, -79, -60, -75, -9, 17, 40, 47, 61, 65]

Pass 7:
  Compare -93 and -79
  No swap needed
  Compare -79 and -60
  No swap needed
  Compare -60 and -75
  Swap -60 and -75
  List after swap: [-93, -79, -75, -60, -9, 17, 40, 47, 61, 65]

Pass 8:
  Compare -93 and -79
  No swap needed
  Compare -79 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -79, -75, -60, -9, 17, 40, 47, 61, 65]
</think>

<response>-93, -79, -75, -60, -9, 17, 40, 47, 61, 65</response>


input: Sort these integers 73, 64, 16 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [73, 64, 16]

Pass 1:
  Compare 73 and 64
  Swap 73 and 64
  List after swap: [64, 73, 16]
  Compare 73 and 16
  Swap 73 and 16
  List after swap: [64, 16, 73]

Pass 2:
  Compare 64 and 16
  Swap 64 and 16
  List after swap: [16, 64, 73]

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

Final sorted list: [16, 64, 73]
</think>

<response>16, 64, 73</response>


input: Sort these integers -23, -14, 72, 74, -1, 40, 46, -29, 76 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-23, -14, 72, 74, -1, 40, 46, -29, 76]

Pass 1:
  Compare -23 and -14
  No swap needed
  Compare -14 and 72
  No swap needed
  Compare 72 and 74
  No swap needed
  Compare 74 and -1
  Swap 74 and -1
  List after swap: [-23, -14, 72, -1, 74, 40, 46, -29, 76]
  Compare 74 and 40
  Swap 74 and 40
  List after swap: [-23, -14, 72, -1, 40, 74, 46, -29, 76]
  Compare 74 and 46
  Swap 74 and 46
  List after swap: [-23, -14, 72, -1, 40, 46, 74, -29, 76]
  Compare 74 and -29
  Swap 74 and -29
  List after swap: [-23, -14, 72, -1, 40, 46, -29, 74, 76]
  Compare 74 and 76
  No swap needed

Pass 2:
  Compare -23 and -14
  No swap needed
  Compare -14 and 72
  No swap needed
  Compare 72 and -1
  Swap 72 and -1
  List after swap: [-23, -14, -1, 72, 40, 46, -29, 74, 76]
  Compare 72 and 40
  Swap 72 and 40
  List after swap: [-23, -14, -1, 40, 72, 46, -29, 74, 76]
  Compare 72 and 46
  Swap 72 and 46
  List after swap: [-23, -14, -1, 40, 46, 72, -29, 74, 76]
  Compare 72 and -29
  Swap 72 and -29
  List after swap: [-23, -14, -1, 40, 46, -29, 72, 74, 76]
  Compare 72 and 74
  No swap needed

Pass 3:
  Compare -23 and -14
  No swap needed
  Compare -14 and -1
  No swap needed
  Compare -1 and 40
  No swap needed
  Compare 40 and 46
  No swap needed
  Compare 46 and -29
  Swap 46 and -29
  List after swap: [-23, -14, -1, 40, -29, 46, 72, 74, 76]
  Compare 46 and 72
  No swap needed

Pass 4:
  Compare -23 and -14
  No swap needed
  Compare -14 and -1
  No swap needed
  Compare -1 and 40
  No swap needed
  Compare 40 and -29
  Swap 40 and -29
  List after swap: [-23, -14, -1, -29, 40, 46, 72, 74, 76]
  Compare 40 and 46
  No swap needed

Pass 5:
  Compare -23 and -14
  No swap needed
  Compare -14 and -1
  No swap needed
  Compare -1 and -29
  Swap -1 and -29
  List after swap: [-23, -14, -29, -1, 40, 46, 72, 74, 76]
  Compare -1 and 40
  No swap needed

Pass 6:
  Compare -23 and -14
  No swap needed
  Compare -14 and -29
  Swap -14 and -29
  List after swap: [-23, -29, -14, -1, 40, 46, 72, 74, 76]
  Compare -14 and -1
  No swap needed

Pass 7:
  Compare -23 and -29
  Swap -23 and -29
  List after swap: [-29, -23, -14, -1, 40, 46, 72, 74, 76]
  Compare -23 and -14
  No swap needed

Pass 8:
  Compare -29 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, -23, -14, -1, 40, 46, 72, 74, 76]
</think>

<response>-29, -23, -14, -1, 40, 46, 72, 74, 76</response>


input: Sort the list 2, -86, 97, -68, 98, -66, 26, -5, 18 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [2, -86, 97, -68, 98, -66, 26, -5, 18]

Pass 1:
  Compare 2 and -86
  Swap 2 and -86
  List after swap: [-86, 2, 97, -68, 98, -66, 26, -5, 18]
  Compare 2 and 97
  No swap needed
  Compare 97 and -68
  Swap 97 and -68
  List after swap: [-86, 2, -68, 97, 98, -66, 26, -5, 18]
  Compare 97 and 98
  No swap needed
  Compare 98 and -66
  Swap 98 and -66
  List after swap: [-86, 2, -68, 97, -66, 98, 26, -5, 18]
  Compare 98 and 26
  Swap 98 and 26
  List after swap: [-86, 2, -68, 97, -66, 26, 98, -5, 18]
  Compare 98 and -5
  Swap 98 and -5
  List after swap: [-86, 2, -68, 97, -66, 26, -5, 98, 18]
  Compare 98 and 18
  Swap 98 and 18
  List after swap: [-86, 2, -68, 97, -66, 26, -5, 18, 98]

Pass 2:
  Compare -86 and 2
  No swap needed
  Compare 2 and -68
  Swap 2 and -68
  List after swap: [-86, -68, 2, 97, -66, 26, -5, 18, 98]
  Compare 2 and 97
  No swap needed
  Compare 97 and -66
  Swap 97 and -66
  List after swap: [-86, -68, 2, -66, 97, 26, -5, 18, 98]
  Compare 97 and 26
  Swap 97 and 26
  List after swap: [-86, -68, 2, -66, 26, 97, -5, 18, 98]
  Compare 97 and -5
  Swap 97 and -5
  List after swap: [-86, -68, 2, -66, 26, -5, 97, 18, 98]
  Compare 97 and 18
  Swap 97 and 18
  List after swap: [-86, -68, 2, -66, 26, -5, 18, 97, 98]

Pass 3:
  Compare -86 and -68
  No swap needed
  Compare -68 and 2
  No swap needed
  Compare 2 and -66
  Swap 2 and -66
  List after swap: [-86, -68, -66, 2, 26, -5, 18, 97, 98]
  Compare 2 and 26
  No swap needed
  Compare 26 and -5
  Swap 26 and -5
  List after swap: [-86, -68, -66, 2, -5, 26, 18, 97, 98]
  Compare 26 and 18
  Swap 26 and 18
  List after swap: [-86, -68, -66, 2, -5, 18, 26, 97, 98]

Pass 4:
  Compare -86 and -68
  No swap needed
  Compare -68 and -66
  No swap needed
  Compare -66 and 2
  No swap needed
  Compare 2 and -5
  Swap 2 and -5
  List after swap: [-86, -68, -66, -5, 2, 18, 26, 97, 98]
  Compare 2 and 18
  No swap needed

Pass 5:
  Compare -86 and -68
  No swap needed
  Compare -68 and -66
  No swap needed
  Compare -66 and -5
  No swap needed
  Compare -5 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -68, -66, -5, 2, 18, 26, 97, 98]
</think>

<response>-86, -68, -66, -5, 2, 18, 26, 97, 98</response>


input: Arrange the numbers 56, -84, -42, -55, 71, 19, 12, 55, -21, -4 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [56, -84, -42, -55, 71, 19, 12, 55, -21, -4]

Pass 1:
  Compare 56 and -84
  Swap 56 and -84
  List after swap: [-84, 56, -42, -55, 71, 19, 12, 55, -21, -4]
  Compare 56 and -42
  Swap 56 and -42
  List after swap: [-84, -42, 56, -55, 71, 19, 12, 55, -21, -4]
  Compare 56 and -55
  Swap 56 and -55
  List after swap: [-84, -42, -55, 56, 71, 19, 12, 55, -21, -4]
  Compare 56 and 71
  No swap needed
  Compare 71 and 19
  Swap 71 and 19
  List after swap: [-84, -42, -55, 56, 19, 71, 12, 55, -21, -4]
  Compare 71 and 12
  Swap 71 and 12
  List after swap: [-84, -42, -55, 56, 19, 12, 71, 55, -21, -4]
  Compare 71 and 55
  Swap 71 and 55
  List after swap: [-84, -42, -55, 56, 19, 12, 55, 71, -21, -4]
  Compare 71 and -21
  Swap 71 and -21
  List after swap: [-84, -42, -55, 56, 19, 12, 55, -21, 71, -4]
  Compare 71 and -4
  Swap 71 and -4
  List after swap: [-84, -42, -55, 56, 19, 12, 55, -21, -4, 71]

Pass 2:
  Compare -84 and -42
  No swap needed
  Compare -42 and -55
  Swap -42 and -55
  List after swap: [-84, -55, -42, 56, 19, 12, 55, -21, -4, 71]
  Compare -42 and 56
  No swap needed
  Compare 56 and 19
  Swap 56 and 19
  List after swap: [-84, -55, -42, 19, 56, 12, 55, -21, -4, 71]
  Compare 56 and 12
  Swap 56 and 12
  List after swap: [-84, -55, -42, 19, 12, 56, 55, -21, -4, 71]
  Compare 56 and 55
  Swap 56 and 55
  List after swap: [-84, -55, -42, 19, 12, 55, 56, -21, -4, 71]
  Compare 56 and -21
  Swap 56 and -21
  List after swap: [-84, -55, -42, 19, 12, 55, -21, 56, -4, 71]
  Compare 56 and -4
  Swap 56 and -4
  List after swap: [-84, -55, -42, 19, 12, 55, -21, -4, 56, 71]

Pass 3:
  Compare -84 and -55
  No swap needed
  Compare -55 and -42
  No swap needed
  Compare -42 and 19
  No swap needed
  Compare 19 and 12
  Swap 19 and 12
  List after swap: [-84, -55, -42, 12, 19, 55, -21, -4, 56, 71]
  Compare 19 and 55
  No swap needed
  Compare 55 and -21
  Swap 55 and -21
  List after swap: [-84, -55, -42, 12, 19, -21, 55, -4, 56, 71]
  Compare 55 and -4
  Swap 55 and -4
  List after swap: [-84, -55, -42, 12, 19, -21, -4, 55, 56, 71]

Pass 4:
  Compare -84 and -55
  No swap needed
  Compare -55 and -42
  No swap needed
  Compare -42 and 12
  No swap needed
  Compare 12 and 19
  No swap needed
  Compare 19 and -21
  Swap 19 and -21
  List after swap: [-84, -55, -42, 12, -21, 19, -4, 55, 56, 71]
  Compare 19 and -4
  Swap 19 and -4
  List after swap: [-84, -55, -42, 12, -21, -4, 19, 55, 56, 71]

Pass 5:
  Compare -84 and -55
  No swap needed
  Compare -55 and -42
  No swap needed
  Compare -42 and 12
  No swap needed
  Compare 12 and -21
  Swap 12 and -21
  List after swap: [-84, -55, -42, -21, 12, -4, 19, 55, 56, 71]
  Compare 12 and -4
  Swap 12 and -4
  List after swap: [-84, -55, -42, -21, -4, 12, 19, 55, 56, 71]

Pass 6:
  Compare -84 and -55
  No swap needed
  Compare -55 and -42
  No swap needed
  Compare -42 and -21
  No swap needed
  Compare -21 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -55, -42, -21, -4, 12, 19, 55, 56, 71]
</think>

<response>-84, -55, -42, -21, -4, 12, 19, 55, 56, 71</response>


input: Perform a bubble sort on the integers 56, 73, -90, 87, -40, 85, -94, 80, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [56, 73, -90, 87, -40, 85, -94, 80]

Pass 1:
  Compare 56 and 73
  No swap needed
  Compare 73 and -90
  Swap 73 and -90
  List after swap: [56, -90, 73, 87, -40, 85, -94, 80]
  Compare 73 and 87
  No swap needed
  Compare 87 and -40
  Swap 87 and -40
  List after swap: [56, -90, 73, -40, 87, 85, -94, 80]
  Compare 87 and 85
  Swap 87 and 85
  List after swap: [56, -90, 73, -40, 85, 87, -94, 80]
  Compare 87 and -94
  Swap 87 and -94
  List after swap: [56, -90, 73, -40, 85, -94, 87, 80]
  Compare 87 and 80
  Swap 87 and 80
  List after swap: [56, -90, 73, -40, 85, -94, 80, 87]

Pass 2:
  Compare 56 and -90
  Swap 56 and -90
  List after swap: [-90, 56, 73, -40, 85, -94, 80, 87]
  Compare 56 and 73
  No swap needed
  Compare 73 and -40
  Swap 73 and -40
  List after swap: [-90, 56, -40, 73, 85, -94, 80, 87]
  Compare 73 and 85
  No swap needed
  Compare 85 and -94
  Swap 85 and -94
  List after swap: [-90, 56, -40, 73, -94, 85, 80, 87]
  Compare 85 and 80
  Swap 85 and 80
  List after swap: [-90, 56, -40, 73, -94, 80, 85, 87]

Pass 3:
  Compare -90 and 56
  No swap needed
  Compare 56 and -40
  Swap 56 and -40
  List after swap: [-90, -40, 56, 73, -94, 80, 85, 87]
  Compare 56 and 73
  No swap needed
  Compare 73 and -94
  Swap 73 and -94
  List after swap: [-90, -40, 56, -94, 73, 80, 85, 87]
  Compare 73 and 80
  No swap needed

Pass 4:
  Compare -90 and -40
  No swap needed
  Compare -40 and 56
  No swap needed
  Compare 56 and -94
  Swap 56 and -94
  List after swap: [-90, -40, -94, 56, 73, 80, 85, 87]
  Compare 56 and 73
  No swap needed

Pass 5:
  Compare -90 and -40
  No swap needed
  Compare -40 and -94
  Swap -40 and -94
  List after swap: [-90, -94, -40, 56, 73, 80, 85, 87]
  Compare -40 and 56
  No swap needed

Pass 6:
  Compare -90 and -94
  Swap -90 and -94
  List after swap: [-94, -90, -40, 56, 73, 80, 85, 87]
  Compare -90 and -40
  No swap needed

Pass 7:
  Compare -94 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -90, -40, 56, 73, 80, 85, 87]
</think>

<response>-94, -90, -40, 56, 73, 80, 85, 87</response>


input: Using the bubble sort method, sort 64, -68, -3, -84, 77, 68 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [64, -68, -3, -84, 77, 68]

Pass 1:
  Compare 64 and -68
  Swap 64 and -68
  List after swap: [-68, 64, -3, -84, 77, 68]
  Compare 64 and -3
  Swap 64 and -3
  List after swap: [-68, -3, 64, -84, 77, 68]
  Compare 64 and -84
  Swap 64 and -84
  List after swap: [-68, -3, -84, 64, 77, 68]
  Compare 64 and 77
  No swap needed
  Compare 77 and 68
  Swap 77 and 68
  List after swap: [-68, -3, -84, 64, 68, 77]

Pass 2:
  Compare -68 and -3
  No swap needed
  Compare -3 and -84
  Swap -3 and -84
  List after swap: [-68, -84, -3, 64, 68, 77]
  Compare -3 and 64
  No swap needed
  Compare 64 and 68
  No swap needed

Pass 3:
  Compare -68 and -84
  Swap -68 and -84
  List after swap: [-84, -68, -3, 64, 68, 77]
  Compare -68 and -3
  No swap needed
  Compare -3 and 64
  No swap needed

Pass 4:
  Compare -84 and -68
  No swap needed
  Compare -68 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -68, -3, 64, 68, 77]
</think>

<response>-84, -68, -3, 64, 68, 77</response>


input: Arrange the numbers 94, 20, 17, 76, 78 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [94, 20, 17, 76, 78]

Pass 1:
  Compare 94 and 20
  Swap 94 and 20
  List after swap: [20, 94, 17, 76, 78]
  Compare 94 and 17
  Swap 94 and 17
  List after swap: [20, 17, 94, 76, 78]
  Compare 94 and 76
  Swap 94 and 76
  List after swap: [20, 17, 76, 94, 78]
  Compare 94 and 78
  Swap 94 and 78
  List after swap: [20, 17, 76, 78, 94]

Pass 2:
  Compare 20 and 17
  Swap 20 and 17
  List after swap: [17, 20, 76, 78, 94]
  Compare 20 and 76
  No swap needed
  Compare 76 and 78
  No swap needed

Pass 3:
  Compare 17 and 20
  No swap needed
  Compare 20 and 76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [17, 20, 76, 78, 94]
</think>

<response>17, 20, 76, 78, 94</response>


input: Demonstrate how bubble sort orders the integers 30, -62, 77, 89, 82, 80, 2, -15, -85, 87 in ascending sequence, showing all steps.

output:
<think>
Initial list: [30, -62, 77, 89, 82, 80, 2, -15, -85, 87]

Pass 1:
  Compare 30 and -62
  Swap 30 and -62
  List after swap: [-62, 30, 77, 89, 82, 80, 2, -15, -85, 87]
  Compare 30 and 77
  No swap needed
  Compare 77 and 89
  No swap needed
  Compare 89 and 82
  Swap 89 and 82
  List after swap: [-62, 30, 77, 82, 89, 80, 2, -15, -85, 87]
  Compare 89 and 80
  Swap 89 and 80
  List after swap: [-62, 30, 77, 82, 80, 89, 2, -15, -85, 87]
  Compare 89 and 2
  Swap 89 and 2
  List after swap: [-62, 30, 77, 82, 80, 2, 89, -15, -85, 87]
  Compare 89 and -15
  Swap 89 and -15
  List after swap: [-62, 30, 77, 82, 80, 2, -15, 89, -85, 87]
  Compare 89 and -85
  Swap 89 and -85
  List after swap: [-62, 30, 77, 82, 80, 2, -15, -85, 89, 87]
  Compare 89 and 87
  Swap 89 and 87
  List after swap: [-62, 30, 77, 82, 80, 2, -15, -85, 87, 89]

Pass 2:
  Compare -62 and 30
  No swap needed
  Compare 30 and 77
  No swap needed
  Compare 77 and 82
  No swap needed
  Compare 82 and 80
  Swap 82 and 80
  List after swap: [-62, 30, 77, 80, 82, 2, -15, -85, 87, 89]
  Compare 82 and 2
  Swap 82 and 2
  List after swap: [-62, 30, 77, 80, 2, 82, -15, -85, 87, 89]
  Compare 82 and -15
  Swap 82 and -15
  List after swap: [-62, 30, 77, 80, 2, -15, 82, -85, 87, 89]
  Compare 82 and -85
  Swap 82 and -85
  List after swap: [-62, 30, 77, 80, 2, -15, -85, 82, 87, 89]
  Compare 82 and 87
  No swap needed

Pass 3:
  Compare -62 and 30
  No swap needed
  Compare 30 and 77
  No swap needed
  Compare 77 and 80
  No swap needed
  Compare 80 and 2
  Swap 80 and 2
  List after swap: [-62, 30, 77, 2, 80, -15, -85, 82, 87, 89]
  Compare 80 and -15
  Swap 80 and -15
  List after swap: [-62, 30, 77, 2, -15, 80, -85, 82, 87, 89]
  Compare 80 and -85
  Swap 80 and -85
  List after swap: [-62, 30, 77, 2, -15, -85, 80, 82, 87, 89]
  Compare 80 and 82
  No swap needed

Pass 4:
  Compare -62 and 30
  No swap needed
  Compare 30 and 77
  No swap needed
  Compare 77 and 2
  Swap 77 and 2
  List after swap: [-62, 30, 2, 77, -15, -85, 80, 82, 87, 89]
  Compare 77 and -15
  Swap 77 and -15
  List after swap: [-62, 30, 2, -15, 77, -85, 80, 82, 87, 89]
  Compare 77 and -85
  Swap 77 and -85
  List after swap: [-62, 30, 2, -15, -85, 77, 80, 82, 87, 89]
  Compare 77 and 80
  No swap needed

Pass 5:
  Compare -62 and 30
  No swap needed
  Compare 30 and 2
  Swap 30 and 2
  List after swap: [-62, 2, 30, -15, -85, 77, 80, 82, 87, 89]
  Compare 30 and -15
  Swap 30 and -15
  List after swap: [-62, 2, -15, 30, -85, 77, 80, 82, 87, 89]
  Compare 30 and -85
  Swap 30 and -85
  List after swap: [-62, 2, -15, -85, 30, 77, 80, 82, 87, 89]
  Compare 30 and 77
  No swap needed

Pass 6:
  Compare -62 and 2
  No swap needed
  Compare 2 and -15
  Swap 2 and -15
  List after swap: [-62, -15, 2, -85, 30, 77, 80, 82, 87, 89]
  Compare 2 and -85
  Swap 2 and -85
  List after swap: [-62, -15, -85, 2, 30, 77, 80, 82, 87, 89]
  Compare 2 and 30
  No swap needed

Pass 7:
  Compare -62 and -15
  No swap needed
  Compare -15 and -85
  Swap -15 and -85
  List after swap: [-62, -85, -15, 2, 30, 77, 80, 82, 87, 89]
  Compare -15 and 2
  No swap needed

Pass 8:
  Compare -62 and -85
  Swap -62 and -85
  List after swap: [-85, -62, -15, 2, 30, 77, 80, 82, 87, 89]
  Compare -62 and -15
  No swap needed

Pass 9:
  Compare -85 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -62, -15, 2, 30, 77, 80, 82, 87, 89]
</think>

<response>-85, -62, -15, 2, 30, 77, 80, 82, 87, 89</response>


input: Implement bubble sort on -79, -75, -26 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-79, -75, -26]

Pass 1:
  Compare -79 and -75
  No swap needed
  Compare -75 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -75, -26]
</think>

<response>-79, -75, -26</response>


input: Execute bubble sort to sort 73, 67, -80, 58, -72, -37, 15, 59, -99, -14 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [73, 67, -80, 58, -72, -37, 15, 59, -99, -14]

Pass 1:
  Compare 73 and 67
  Swap 73 and 67
  List after swap: [67, 73, -80, 58, -72, -37, 15, 59, -99, -14]
  Compare 73 and -80
  Swap 73 and -80
  List after swap: [67, -80, 73, 58, -72, -37, 15, 59, -99, -14]
  Compare 73 and 58
  Swap 73 and 58
  List after swap: [67, -80, 58, 73, -72, -37, 15, 59, -99, -14]
  Compare 73 and -72
  Swap 73 and -72
  List after swap: [67, -80, 58, -72, 73, -37, 15, 59, -99, -14]
  Compare 73 and -37
  Swap 73 and -37
  List after swap: [67, -80, 58, -72, -37, 73, 15, 59, -99, -14]
  Compare 73 and 15
  Swap 73 and 15
  List after swap: [67, -80, 58, -72, -37, 15, 73, 59, -99, -14]
  Compare 73 and 59
  Swap 73 and 59
  List after swap: [67, -80, 58, -72, -37, 15, 59, 73, -99, -14]
  Compare 73 and -99
  Swap 73 and -99
  List after swap: [67, -80, 58, -72, -37, 15, 59, -99, 73, -14]
  Compare 73 and -14
  Swap 73 and -14
  List after swap: [67, -80, 58, -72, -37, 15, 59, -99, -14, 73]

Pass 2:
  Compare 67 and -80
  Swap 67 and -80
  List after swap: [-80, 67, 58, -72, -37, 15, 59, -99, -14, 73]
  Compare 67 and 58
  Swap 67 and 58
  List after swap: [-80, 58, 67, -72, -37, 15, 59, -99, -14, 73]
  Compare 67 and -72
  Swap 67 and -72
  List after swap: [-80, 58, -72, 67, -37, 15, 59, -99, -14, 73]
  Compare 67 and -37
  Swap 67 and -37
  List after swap: [-80, 58, -72, -37, 67, 15, 59, -99, -14, 73]
  Compare 67 and 15
  Swap 67 and 15
  List after swap: [-80, 58, -72, -37, 15, 67, 59, -99, -14, 73]
  Compare 67 and 59
  Swap 67 and 59
  List after swap: [-80, 58, -72, -37, 15, 59, 67, -99, -14, 73]
  Compare 67 and -99
  Swap 67 and -99
  List after swap: [-80, 58, -72, -37, 15, 59, -99, 67, -14, 73]
  Compare 67 and -14
  Swap 67 and -14
  List after swap: [-80, 58, -72, -37, 15, 59, -99, -14, 67, 73]

Pass 3:
  Compare -80 and 58
  No swap needed
  Compare 58 and -72
  Swap 58 and -72
  List after swap: [-80, -72, 58, -37, 15, 59, -99, -14, 67, 73]
  Compare 58 and -37
  Swap 58 and -37
  List after swap: [-80, -72, -37, 58, 15, 59, -99, -14, 67, 73]
  Compare 58 and 15
  Swap 58 and 15
  List after swap: [-80, -72, -37, 15, 58, 59, -99, -14, 67, 73]
  Compare 58 and 59
  No swap needed
  Compare 59 and -99
  Swap 59 and -99
  List after swap: [-80, -72, -37, 15, 58, -99, 59, -14, 67, 73]
  Compare 59 and -14
  Swap 59 and -14
  List after swap: [-80, -72, -37, 15, 58, -99, -14, 59, 67, 73]

Pass 4:
  Compare -80 and -72
  No swap needed
  Compare -72 and -37
  No swap needed
  Compare -37 and 15
  No swap needed
  Compare 15 and 58
  No swap needed
  Compare 58 and -99
  Swap 58 and -99
  List after swap: [-80, -72, -37, 15, -99, 58, -14, 59, 67, 73]
  Compare 58 and -14
  Swap 58 and -14
  List after swap: [-80, -72, -37, 15, -99, -14, 58, 59, 67, 73]

Pass 5:
  Compare -80 and -72
  No swap needed
  Compare -72 and -37
  No swap needed
  Compare -37 and 15
  No swap needed
  Compare 15 and -99
  Swap 15 and -99
  List after swap: [-80, -72, -37, -99, 15, -14, 58, 59, 67, 73]
  Compare 15 and -14
  Swap 15 and -14
  List after swap: [-80, -72, -37, -99, -14, 15, 58, 59, 67, 73]

Pass 6:
  Compare -80 and -72
  No swap needed
  Compare -72 and -37
  No swap needed
  Compare -37 and -99
  Swap -37 and -99
  List after swap: [-80, -72, -99, -37, -14, 15, 58, 59, 67, 73]
  Compare -37 and -14
  No swap needed

Pass 7:
  Compare -80 and -72
  No swap needed
  Compare -72 and -99
  Swap -72 and -99
  List after swap: [-80, -99, -72, -37, -14, 15, 58, 59, 67, 73]
  Compare -72 and -37
  No swap needed

Pass 8:
  Compare -80 and -99
  Swap -80 and -99
  List after swap: [-99, -80, -72, -37, -14, 15, 58, 59, 67, 73]
  Compare -80 and -72
  No swap needed

Pass 9:
  Compare -99 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -80, -72, -37, -14, 15, 58, 59, 67, 73]
</think>

<response>-99, -80, -72, -37, -14, 15, 58, 59, 67, 73</response>


input: Execute bubble sort to sort -37, -25, -56, 0, -24, 40, 48, -16 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-37, -25, -56, 0, -24, 40, 48, -16]

Pass 1:
  Compare -37 and -25
  No swap needed
  Compare -25 and -56
  Swap -25 and -56
  List after swap: [-37, -56, -25, 0, -24, 40, 48, -16]
  Compare -25 and 0
  No swap needed
  Compare 0 and -24
  Swap 0 and -24
  List after swap: [-37, -56, -25, -24, 0, 40, 48, -16]
  Compare 0 and 40
  No swap needed
  Compare 40 and 48
  No swap needed
  Compare 48 and -16
  Swap 48 and -16
  List after swap: [-37, -56, -25, -24, 0, 40, -16, 48]

Pass 2:
  Compare -37 and -56
  Swap -37 and -56
  List after swap: [-56, -37, -25, -24, 0, 40, -16, 48]
  Compare -37 and -25
  No swap needed
  Compare -25 and -24
  No swap needed
  Compare -24 and 0
  No swap needed
  Compare 0 and 40
  No swap needed
  Compare 40 and -16
  Swap 40 and -16
  List after swap: [-56, -37, -25, -24, 0, -16, 40, 48]

Pass 3:
  Compare -56 and -37
  No swap needed
  Compare -37 and -25
  No swap needed
  Compare -25 and -24
  No swap needed
  Compare -24 and 0
  No swap needed
  Compare 0 and -16
  Swap 0 and -16
  List after swap: [-56, -37, -25, -24, -16, 0, 40, 48]

Pass 4:
  Compare -56 and -37
  No swap needed
  Compare -37 and -25
  No swap needed
  Compare -25 and -24
  No swap needed
  Compare -24 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -37, -25, -24, -16, 0, 40, 48]
</think>

<response>-56, -37, -25, -24, -16, 0, 40, 48</response>


input: Perform a bubble sort on the integers -18, -71, 95, -11, 28, 38, -9, 56, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-18, -71, 95, -11, 28, 38, -9, 56]

Pass 1:
  Compare -18 and -71
  Swap -18 and -71
  List after swap: [-71, -18, 95, -11, 28, 38, -9, 56]
  Compare -18 and 95
  No swap needed
  Compare 95 and -11
  Swap 95 and -11
  List after swap: [-71, -18, -11, 95, 28, 38, -9, 56]
  Compare 95 and 28
  Swap 95 and 28
  List after swap: [-71, -18, -11, 28, 95, 38, -9, 56]
  Compare 95 and 38
  Swap 95 and 38
  List after swap: [-71, -18, -11, 28, 38, 95, -9, 56]
  Compare 95 and -9
  Swap 95 and -9
  List after swap: [-71, -18, -11, 28, 38, -9, 95, 56]
  Compare 95 and 56
  Swap 95 and 56
  List after swap: [-71, -18, -11, 28, 38, -9, 56, 95]

Pass 2:
  Compare -71 and -18
  No swap needed
  Compare -18 and -11
  No swap needed
  Compare -11 and 28
  No swap needed
  Compare 28 and 38
  No swap needed
  Compare 38 and -9
  Swap 38 and -9
  List after swap: [-71, -18, -11, 28, -9, 38, 56, 95]
  Compare 38 and 56
  No swap needed

Pass 3:
  Compare -71 and -18
  No swap needed
  Compare -18 and -11
  No swap needed
  Compare -11 and 28
  No swap needed
  Compare 28 and -9
  Swap 28 and -9
  List after swap: [-71, -18, -11, -9, 28, 38, 56, 95]
  Compare 28 and 38
  No swap needed

Pass 4:
  Compare -71 and -18
  No swap needed
  Compare -18 and -11
  No swap needed
  Compare -11 and -9
  No swap needed
  Compare -9 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -18, -11, -9, 28, 38, 56, 95]
</think>

<response>-71, -18, -11, -9, 28, 38, 56, 95</response>


input: Using the bubble sort method, sort 76, -92 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [76, -92]

Pass 1:
  Compare 76 and -92
  Swap 76 and -92
  List after swap: [-92, 76]

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

Final sorted list: [-92, 76]
</think>

<response>-92, 76</response>


input: Sort these integers 58, -60, -27, -24, -68, -80, 71, -38, -19, -35 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [58, -60, -27, -24, -68, -80, 71, -38, -19, -35]

Pass 1:
  Compare 58 and -60
  Swap 58 and -60
  List after swap: [-60, 58, -27, -24, -68, -80, 71, -38, -19, -35]
  Compare 58 and -27
  Swap 58 and -27
  List after swap: [-60, -27, 58, -24, -68, -80, 71, -38, -19, -35]
  Compare 58 and -24
  Swap 58 and -24
  List after swap: [-60, -27, -24, 58, -68, -80, 71, -38, -19, -35]
  Compare 58 and -68
  Swap 58 and -68
  List after swap: [-60, -27, -24, -68, 58, -80, 71, -38, -19, -35]
  Compare 58 and -80
  Swap 58 and -80
  List after swap: [-60, -27, -24, -68, -80, 58, 71, -38, -19, -35]
  Compare 58 and 71
  No swap needed
  Compare 71 and -38
  Swap 71 and -38
  List after swap: [-60, -27, -24, -68, -80, 58, -38, 71, -19, -35]
  Compare 71 and -19
  Swap 71 and -19
  List after swap: [-60, -27, -24, -68, -80, 58, -38, -19, 71, -35]
  Compare 71 and -35
  Swap 71 and -35
  List after swap: [-60, -27, -24, -68, -80, 58, -38, -19, -35, 71]

Pass 2:
  Compare -60 and -27
  No swap needed
  Compare -27 and -24
  No swap needed
  Compare -24 and -68
  Swap -24 and -68
  List after swap: [-60, -27, -68, -24, -80, 58, -38, -19, -35, 71]
  Compare -24 and -80
  Swap -24 and -80
  List after swap: [-60, -27, -68, -80, -24, 58, -38, -19, -35, 71]
  Compare -24 and 58
  No swap needed
  Compare 58 and -38
  Swap 58 and -38
  List after swap: [-60, -27, -68, -80, -24, -38, 58, -19, -35, 71]
  Compare 58 and -19
  Swap 58 and -19
  List after swap: [-60, -27, -68, -80, -24, -38, -19, 58, -35, 71]
  Compare 58 and -35
  Swap 58 and -35
  List after swap: [-60, -27, -68, -80, -24, -38, -19, -35, 58, 71]

Pass 3:
  Compare -60 and -27
  No swap needed
  Compare -27 and -68
  Swap -27 and -68
  List after swap: [-60, -68, -27, -80, -24, -38, -19, -35, 58, 71]
  Compare -27 and -80
  Swap -27 and -80
  List after swap: [-60, -68, -80, -27, -24, -38, -19, -35, 58, 71]
  Compare -27 and -24
  No swap needed
  Compare -24 and -38
  Swap -24 and -38
  List after swap: [-60, -68, -80, -27, -38, -24, -19, -35, 58, 71]
  Compare -24 and -19
  No swap needed
  Compare -19 and -35
  Swap -19 and -35
  List after swap: [-60, -68, -80, -27, -38, -24, -35, -19, 58, 71]

Pass 4:
  Compare -60 and -68
  Swap -60 and -68
  List after swap: [-68, -60, -80, -27, -38, -24, -35, -19, 58, 71]
  Compare -60 and -80
  Swap -60 and -80
  List after swap: [-68, -80, -60, -27, -38, -24, -35, -19, 58, 71]
  Compare -60 and -27
  No swap needed
  Compare -27 and -38
  Swap -27 and -38
  List after swap: [-68, -80, -60, -38, -27, -24, -35, -19, 58, 71]
  Compare -27 and -24
  No swap needed
  Compare -24 and -35
  Swap -24 and -35
  List after swap: [-68, -80, -60, -38, -27, -35, -24, -19, 58, 71]

Pass 5:
  Compare -68 and -80
  Swap -68 and -80
  List after swap: [-80, -68, -60, -38, -27, -35, -24, -19, 58, 71]
  Compare -68 and -60
  No swap needed
  Compare -60 and -38
  No swap needed
  Compare -38 and -27
  No swap needed
  Compare -27 and -35
  Swap -27 and -35
  List after swap: [-80, -68, -60, -38, -35, -27, -24, -19, 58, 71]

Pass 6:
  Compare -80 and -68
  No swap needed
  Compare -68 and -60
  No swap needed
  Compare -60 and -38
  No swap needed
  Compare -38 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -68, -60, -38, -35, -27, -24, -19, 58, 71]
</think>

<response>-80, -68, -60, -38, -35, -27, -24, -19, 58, 71</response>


input: Use the bubble sort technique to reorder -87, -3, -30 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-87, -3, -30]

Pass 1:
  Compare -87 and -3
  No swap needed
  Compare -3 and -30
  Swap -3 and -30
  List after swap: [-87, -30, -3]

Pass 2:
  Compare -87 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -30, -3]
</think>

<response>-87, -30, -3</response>


input: Execute bubble sort to sort -74, -71, -66, 87, 20, -93, -20, -54, 6, -22 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-74, -71, -66, 87, 20, -93, -20, -54, 6, -22]

Pass 1:
  Compare -74 and -71
  No swap needed
  Compare -71 and -66
  No swap needed
  Compare -66 and 87
  No swap needed
  Compare 87 and 20
  Swap 87 and 20
  List after swap: [-74, -71, -66, 20, 87, -93, -20, -54, 6, -22]
  Compare 87 and -93
  Swap 87 and -93
  List after swap: [-74, -71, -66, 20, -93, 87, -20, -54, 6, -22]
  Compare 87 and -20
  Swap 87 and -20
  List after swap: [-74, -71, -66, 20, -93, -20, 87, -54, 6, -22]
  Compare 87 and -54
  Swap 87 and -54
  List after swap: [-74, -71, -66, 20, -93, -20, -54, 87, 6, -22]
  Compare 87 and 6
  Swap 87 and 6
  List after swap: [-74, -71, -66, 20, -93, -20, -54, 6, 87, -22]
  Compare 87 and -22
  Swap 87 and -22
  List after swap: [-74, -71, -66, 20, -93, -20, -54, 6, -22, 87]

Pass 2:
  Compare -74 and -71
  No swap needed
  Compare -71 and -66
  No swap needed
  Compare -66 and 20
  No swap needed
  Compare 20 and -93
  Swap 20 and -93
  List after swap: [-74, -71, -66, -93, 20, -20, -54, 6, -22, 87]
  Compare 20 and -20
  Swap 20 and -20
  List after swap: [-74, -71, -66, -93, -20, 20, -54, 6, -22, 87]
  Compare 20 and -54
  Swap 20 and -54
  List after swap: [-74, -71, -66, -93, -20, -54, 20, 6, -22, 87]
  Compare 20 and 6
  Swap 20 and 6
  List after swap: [-74, -71, -66, -93, -20, -54, 6, 20, -22, 87]
  Compare 20 and -22
  Swap 20 and -22
  List after swap: [-74, -71, -66, -93, -20, -54, 6, -22, 20, 87]

Pass 3:
  Compare -74 and -71
  No swap needed
  Compare -71 and -66
  No swap needed
  Compare -66 and -93
  Swap -66 and -93
  List after swap: [-74, -71, -93, -66, -20, -54, 6, -22, 20, 87]
  Compare -66 and -20
  No swap needed
  Compare -20 and -54
  Swap -20 and -54
  List after swap: [-74, -71, -93, -66, -54, -20, 6, -22, 20, 87]
  Compare -20 and 6
  No swap needed
  Compare 6 and -22
  Swap 6 and -22
  List after swap: [-74, -71, -93, -66, -54, -20, -22, 6, 20, 87]

Pass 4:
  Compare -74 and -71
  No swap needed
  Compare -71 and -93
  Swap -71 and -93
  List after swap: [-74, -93, -71, -66, -54, -20, -22, 6, 20, 87]
  Compare -71 and -66
  No swap needed
  Compare -66 and -54
  No swap needed
  Compare -54 and -20
  No swap needed
  Compare -20 and -22
  Swap -20 and -22
  List after swap: [-74, -93, -71, -66, -54, -22, -20, 6, 20, 87]

Pass 5:
  Compare -74 and -93
  Swap -74 and -93
  List after swap: [-93, -74, -71, -66, -54, -22, -20, 6, 20, 87]
  Compare -74 and -71
  No swap needed
  Compare -71 and -66
  No swap needed
  Compare -66 and -54
  No swap needed
  Compare -54 and -22
  No swap needed

Pass 6:
  Compare -93 and -74
  No swap needed
  Compare -74 and -71
  No swap needed
  Compare -71 and -66
  No swap needed
  Compare -66 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -74, -71, -66, -54, -22, -20, 6, 20, 87]
</think>

<response>-93, -74, -71, -66, -54, -22, -20, 6, 20, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 88, 41, -36, 96, 28.

output:
<think>
Initial list: [88, 41, -36, 96, 28]

Pass 1:
  Compare 88 and 41
  Swap 88 and 41
  List after swap: [41, 88, -36, 96, 28]
  Compare 88 and -36
  Swap 88 and -36
  List after swap: [41, -36, 88, 96, 28]
  Compare 88 and 96
  No swap needed
  Compare 96 and 28
  Swap 96 and 28
  List after swap: [41, -36, 88, 28, 96]

Pass 2:
  Compare 41 and -36
  Swap 41 and -36
  List after swap: [-36, 41, 88, 28, 96]
  Compare 41 and 88
  No swap needed
  Compare 88 and 28
  Swap 88 and 28
  List after swap: [-36, 41, 28, 88, 96]

Pass 3:
  Compare -36 and 41
  No swap needed
  Compare 41 and 28
  Swap 41 and 28
  List after swap: [-36, 28, 41, 88, 96]

Pass 4:
  Compare -36 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, 28, 41, 88, 96]
</think>

<response>-36, 28, 41, 88, 96</response>


input: Arrange the numbers -50, -74, -62, -52 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-50, -74, -62, -52]

Pass 1:
  Compare -50 and -74
  Swap -50 and -74
  List after swap: [-74, -50, -62, -52]
  Compare -50 and -62
  Swap -50 and -62
  List after swap: [-74, -62, -50, -52]
  Compare -50 and -52
  Swap -50 and -52
  List after swap: [-74, -62, -52, -50]

Pass 2:
  Compare -74 and -62
  No swap needed
  Compare -62 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -62, -52, -50]
</think>

<response>-74, -62, -52, -50</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 35, 24, 41, 75, -54, 82, 29, -39, -13, 4.

output:
<think>
Initial list: [35, 24, 41, 75, -54, 82, 29, -39, -13, 4]

Pass 1:
  Compare 35 and 24
  Swap 35 and 24
  List after swap: [24, 35, 41, 75, -54, 82, 29, -39, -13, 4]
  Compare 35 and 41
  No swap needed
  Compare 41 and 75
  No swap needed
  Compare 75 and -54
  Swap 75 and -54
  List after swap: [24, 35, 41, -54, 75, 82, 29, -39, -13, 4]
  Compare 75 and 82
  No swap needed
  Compare 82 and 29
  Swap 82 and 29
  List after swap: [24, 35, 41, -54, 75, 29, 82, -39, -13, 4]
  Compare 82 and -39
  Swap 82 and -39
  List after swap: [24, 35, 41, -54, 75, 29, -39, 82, -13, 4]
  Compare 82 and -13
  Swap 82 and -13
  List after swap: [24, 35, 41, -54, 75, 29, -39, -13, 82, 4]
  Compare 82 and 4
  Swap 82 and 4
  List after swap: [24, 35, 41, -54, 75, 29, -39, -13, 4, 82]

Pass 2:
  Compare 24 and 35
  No swap needed
  Compare 35 and 41
  No swap needed
  Compare 41 and -54
  Swap 41 and -54
  List after swap: [24, 35, -54, 41, 75, 29, -39, -13, 4, 82]
  Compare 41 and 75
  No swap needed
  Compare 75 and 29
  Swap 75 and 29
  List after swap: [24, 35, -54, 41, 29, 75, -39, -13, 4, 82]
  Compare 75 and -39
  Swap 75 and -39
  List after swap: [24, 35, -54, 41, 29, -39, 75, -13, 4, 82]
  Compare 75 and -13
  Swap 75 and -13
  List after swap: [24, 35, -54, 41, 29, -39, -13, 75, 4, 82]
  Compare 75 and 4
  Swap 75 and 4
  List after swap: [24, 35, -54, 41, 29, -39, -13, 4, 75, 82]

Pass 3:
  Compare 24 and 35
  No swap needed
  Compare 35 and -54
  Swap 35 and -54
  List after swap: [24, -54, 35, 41, 29, -39, -13, 4, 75, 82]
  Compare 35 and 41
  No swap needed
  Compare 41 and 29
  Swap 41 and 29
  List after swap: [24, -54, 35, 29, 41, -39, -13, 4, 75, 82]
  Compare 41 and -39
  Swap 41 and -39
  List after swap: [24, -54, 35, 29, -39, 41, -13, 4, 75, 82]
  Compare 41 and -13
  Swap 41 and -13
  List after swap: [24, -54, 35, 29, -39, -13, 41, 4, 75, 82]
  Compare 41 and 4
  Swap 41 and 4
  List after swap: [24, -54, 35, 29, -39, -13, 4, 41, 75, 82]

Pass 4:
  Compare 24 and -54
  Swap 24 and -54
  List after swap: [-54, 24, 35, 29, -39, -13, 4, 41, 75, 82]
  Compare 24 and 35
  No swap needed
  Compare 35 and 29
  Swap 35 and 29
  List after swap: [-54, 24, 29, 35, -39, -13, 4, 41, 75, 82]
  Compare 35 and -39
  Swap 35 and -39
  List after swap: [-54, 24, 29, -39, 35, -13, 4, 41, 75, 82]
  Compare 35 and -13
  Swap 35 and -13
  List after swap: [-54, 24, 29, -39, -13, 35, 4, 41, 75, 82]
  Compare 35 and 4
  Swap 35 and 4
  List after swap: [-54, 24, 29, -39, -13, 4, 35, 41, 75, 82]

Pass 5:
  Compare -54 and 24
  No swap needed
  Compare 24 and 29
  No swap needed
  Compare 29 and -39
  Swap 29 and -39
  List after swap: [-54, 24, -39, 29, -13, 4, 35, 41, 75, 82]
  Compare 29 and -13
  Swap 29 and -13
  List after swap: [-54, 24, -39, -13, 29, 4, 35, 41, 75, 82]
  Compare 29 and 4
  Swap 29 and 4
  List after swap: [-54, 24, -39, -13, 4, 29, 35, 41, 75, 82]

Pass 6:
  Compare -54 and 24
  No swap needed
  Compare 24 and -39
  Swap 24 and -39
  List after swap: [-54, -39, 24, -13, 4, 29, 35, 41, 75, 82]
  Compare 24 and -13
  Swap 24 and -13
  List after swap: [-54, -39, -13, 24, 4, 29, 35, 41, 75, 82]
  Compare 24 and 4
  Swap 24 and 4
  List after swap: [-54, -39, -13, 4, 24, 29, 35, 41, 75, 82]

Pass 7:
  Compare -54 and -39
  No swap needed
  Compare -39 and -13
  No swap needed
  Compare -13 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -39, -13, 4, 24, 29, 35, 41, 75, 82]
</think>

<response>-54, -39, -13, 4, 24, 29, 35, 41, 75, 82</response>


input: Sort these integers 29, -59, -83, 84, -12, 54, 32, -64, 16, -7 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [29, -59, -83, 84, -12, 54, 32, -64, 16, -7]

Pass 1:
  Compare 29 and -59
  Swap 29 and -59
  List after swap: [-59, 29, -83, 84, -12, 54, 32, -64, 16, -7]
  Compare 29 and -83
  Swap 29 and -83
  List after swap: [-59, -83, 29, 84, -12, 54, 32, -64, 16, -7]
  Compare 29 and 84
  No swap needed
  Compare 84 and -12
  Swap 84 and -12
  List after swap: [-59, -83, 29, -12, 84, 54, 32, -64, 16, -7]
  Compare 84 and 54
  Swap 84 and 54
  List after swap: [-59, -83, 29, -12, 54, 84, 32, -64, 16, -7]
  Compare 84 and 32
  Swap 84 and 32
  List after swap: [-59, -83, 29, -12, 54, 32, 84, -64, 16, -7]
  Compare 84 and -64
  Swap 84 and -64
  List after swap: [-59, -83, 29, -12, 54, 32, -64, 84, 16, -7]
  Compare 84 and 16
  Swap 84 and 16
  List after swap: [-59, -83, 29, -12, 54, 32, -64, 16, 84, -7]
  Compare 84 and -7
  Swap 84 and -7
  List after swap: [-59, -83, 29, -12, 54, 32, -64, 16, -7, 84]

Pass 2:
  Compare -59 and -83
  Swap -59 and -83
  List after swap: [-83, -59, 29, -12, 54, 32, -64, 16, -7, 84]
  Compare -59 and 29
  No swap needed
  Compare 29 and -12
  Swap 29 and -12
  List after swap: [-83, -59, -12, 29, 54, 32, -64, 16, -7, 84]
  Compare 29 and 54
  No swap needed
  Compare 54 and 32
  Swap 54 and 32
  List after swap: [-83, -59, -12, 29, 32, 54, -64, 16, -7, 84]
  Compare 54 and -64
  Swap 54 and -64
  List after swap: [-83, -59, -12, 29, 32, -64, 54, 16, -7, 84]
  Compare 54 and 16
  Swap 54 and 16
  List after swap: [-83, -59, -12, 29, 32, -64, 16, 54, -7, 84]
  Compare 54 and -7
  Swap 54 and -7
  List after swap: [-83, -59, -12, 29, 32, -64, 16, -7, 54, 84]

Pass 3:
  Compare -83 and -59
  No swap needed
  Compare -59 and -12
  No swap needed
  Compare -12 and 29
  No swap needed
  Compare 29 and 32
  No swap needed
  Compare 32 and -64
  Swap 32 and -64
  List after swap: [-83, -59, -12, 29, -64, 32, 16, -7, 54, 84]
  Compare 32 and 16
  Swap 32 and 16
  List after swap: [-83, -59, -12, 29, -64, 16, 32, -7, 54, 84]
  Compare 32 and -7
  Swap 32 and -7
  List after swap: [-83, -59, -12, 29, -64, 16, -7, 32, 54, 84]

Pass 4:
  Compare -83 and -59
  No swap needed
  Compare -59 and -12
  No swap needed
  Compare -12 and 29
  No swap needed
  Compare 29 and -64
  Swap 29 and -64
  List after swap: [-83, -59, -12, -64, 29, 16, -7, 32, 54, 84]
  Compare 29 and 16
  Swap 29 and 16
  List after swap: [-83, -59, -12, -64, 16, 29, -7, 32, 54, 84]
  Compare 29 and -7
  Swap 29 and -7
  List after swap: [-83, -59, -12, -64, 16, -7, 29, 32, 54, 84]

Pass 5:
  Compare -83 and -59
  No swap needed
  Compare -59 and -12
  No swap needed
  Compare -12 and -64
  Swap -12 and -64
  List after swap: [-83, -59, -64, -12, 16, -7, 29, 32, 54, 84]
  Compare -12 and 16
  No swap needed
  Compare 16 and -7
  Swap 16 and -7
  List after swap: [-83, -59, -64, -12, -7, 16, 29, 32, 54, 84]

Pass 6:
  Compare -83 and -59
  No swap needed
  Compare -59 and -64
  Swap -59 and -64
  List after swap: [-83, -64, -59, -12, -7, 16, 29, 32, 54, 84]
  Compare -59 and -12
  No swap needed
  Compare -12 and -7
  No swap needed

Pass 7:
  Compare -83 and -64
  No swap needed
  Compare -64 and -59
  No swap needed
  Compare -59 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -64, -59, -12, -7, 16, 29, 32, 54, 84]
</think>

<response>-83, -64, -59, -12, -7, 16, 29, 32, 54, 84</response>


input: Use the bubble sort technique to reorder 40, -27, 67, -15, 63, 44, 60, -5 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [40, -27, 67, -15, 63, 44, 60, -5]

Pass 1:
  Compare 40 and -27
  Swap 40 and -27
  List after swap: [-27, 40, 67, -15, 63, 44, 60, -5]
  Compare 40 and 67
  No swap needed
  Compare 67 and -15
  Swap 67 and -15
  List after swap: [-27, 40, -15, 67, 63, 44, 60, -5]
  Compare 67 and 63
  Swap 67 and 63
  List after swap: [-27, 40, -15, 63, 67, 44, 60, -5]
  Compare 67 and 44
  Swap 67 and 44
  List after swap: [-27, 40, -15, 63, 44, 67, 60, -5]
  Compare 67 and 60
  Swap 67 and 60
  List after swap: [-27, 40, -15, 63, 44, 60, 67, -5]
  Compare 67 and -5
  Swap 67 and -5
  List after swap: [-27, 40, -15, 63, 44, 60, -5, 67]

Pass 2:
  Compare -27 and 40
  No swap needed
  Compare 40 and -15
  Swap 40 and -15
  List after swap: [-27, -15, 40, 63, 44, 60, -5, 67]
  Compare 40 and 63
  No swap needed
  Compare 63 and 44
  Swap 63 and 44
  List after swap: [-27, -15, 40, 44, 63, 60, -5, 67]
  Compare 63 and 60
  Swap 63 and 60
  List after swap: [-27, -15, 40, 44, 60, 63, -5, 67]
  Compare 63 and -5
  Swap 63 and -5
  List after swap: [-27, -15, 40, 44, 60, -5, 63, 67]

Pass 3:
  Compare -27 and -15
  No swap needed
  Compare -15 and 40
  No swap needed
  Compare 40 and 44
  No swap needed
  Compare 44 and 60
  No swap needed
  Compare 60 and -5
  Swap 60 and -5
  List after swap: [-27, -15, 40, 44, -5, 60, 63, 67]

Pass 4:
  Compare -27 and -15
  No swap needed
  Compare -15 and 40
  No swap needed
  Compare 40 and 44
  No swap needed
  Compare 44 and -5
  Swap 44 and -5
  List after swap: [-27, -15, 40, -5, 44, 60, 63, 67]

Pass 5:
  Compare -27 and -15
  No swap needed
  Compare -15 and 40
  No swap needed
  Compare 40 and -5
  Swap 40 and -5
  List after swap: [-27, -15, -5, 40, 44, 60, 63, 67]

Pass 6:
  Compare -27 and -15
  No swap needed
  Compare -15 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -15, -5, 40, 44, 60, 63, 67]
</think>

<response>-27, -15, -5, 40, 44, 60, 63, 67</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 24, -37, 92, 8.

output:
<think>
Initial list: [24, -37, 92, 8]

Pass 1:
  Compare 24 and -37
  Swap 24 and -37
  List after swap: [-37, 24, 92, 8]
  Compare 24 and 92
  No swap needed
  Compare 92 and 8
  Swap 92 and 8
  List after swap: [-37, 24, 8, 92]

Pass 2:
  Compare -37 and 24
  No swap needed
  Compare 24 and 8
  Swap 24 and 8
  List after swap: [-37, 8, 24, 92]

Pass 3:
  Compare -37 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, 8, 24, 92]
</think>

<response>-37, 8, 24, 92</response>


input: Demonstrate how bubble sort orders the integers -64, -9, -100, 75, -55, 90, 54 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-64, -9, -100, 75, -55, 90, 54]

Pass 1:
  Compare -64 and -9
  No swap needed
  Compare -9 and -100
  Swap -9 and -100
  List after swap: [-64, -100, -9, 75, -55, 90, 54]
  Compare -9 and 75
  No swap needed
  Compare 75 and -55
  Swap 75 and -55
  List after swap: [-64, -100, -9, -55, 75, 90, 54]
  Compare 75 and 90
  No swap needed
  Compare 90 and 54
  Swap 90 and 54
  List after swap: [-64, -100, -9, -55, 75, 54, 90]

Pass 2:
  Compare -64 and -100
  Swap -64 and -100
  List after swap: [-100, -64, -9, -55, 75, 54, 90]
  Compare -64 and -9
  No swap needed
  Compare -9 and -55
  Swap -9 and -55
  List after swap: [-100, -64, -55, -9, 75, 54, 90]
  Compare -9 and 75
  No swap needed
  Compare 75 and 54
  Swap 75 and 54
  List after swap: [-100, -64, -55, -9, 54, 75, 90]

Pass 3:
  Compare -100 and -64
  No swap needed
  Compare -64 and -55
  No swap needed
  Compare -55 and -9
  No swap needed
  Compare -9 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -64, -55, -9, 54, 75, 90]
</think>

<response>-100, -64, -55, -9, 54, 75, 90</response>


input: Using the bubble sort method, sort -76, -16 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-76, -16]

Pass 1:
  Compare -76 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -16]
</think>

<response>-76, -16</response>


input: Carry out the bubble sort algorithm on 28, 53 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [28, 53]

Pass 1:
  Compare 28 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [28, 53]
</think>

<response>28, 53</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 70, 42, -12, 92, 62, 17, 4, 33.

output:
<think>
Initial list: [70, 42, -12, 92, 62, 17, 4, 33]

Pass 1:
  Compare 70 and 42
  Swap 70 and 42
  List after swap: [42, 70, -12, 92, 62, 17, 4, 33]
  Compare 70 and -12
  Swap 70 and -12
  List after swap: [42, -12, 70, 92, 62, 17, 4, 33]
  Compare 70 and 92
  No swap needed
  Compare 92 and 62
  Swap 92 and 62
  List after swap: [42, -12, 70, 62, 92, 17, 4, 33]
  Compare 92 and 17
  Swap 92 and 17
  List after swap: [42, -12, 70, 62, 17, 92, 4, 33]
  Compare 92 and 4
  Swap 92 and 4
  List after swap: [42, -12, 70, 62, 17, 4, 92, 33]
  Compare 92 and 33
  Swap 92 and 33
  List after swap: [42, -12, 70, 62, 17, 4, 33, 92]

Pass 2:
  Compare 42 and -12
  Swap 42 and -12
  List after swap: [-12, 42, 70, 62, 17, 4, 33, 92]
  Compare 42 and 70
  No swap needed
  Compare 70 and 62
  Swap 70 and 62
  List after swap: [-12, 42, 62, 70, 17, 4, 33, 92]
  Compare 70 and 17
  Swap 70 and 17
  List after swap: [-12, 42, 62, 17, 70, 4, 33, 92]
  Compare 70 and 4
  Swap 70 and 4
  List after swap: [-12, 42, 62, 17, 4, 70, 33, 92]
  Compare 70 and 33
  Swap 70 and 33
  List after swap: [-12, 42, 62, 17, 4, 33, 70, 92]

Pass 3:
  Compare -12 and 42
  No swap needed
  Compare 42 and 62
  No swap needed
  Compare 62 and 17
  Swap 62 and 17
  List after swap: [-12, 42, 17, 62, 4, 33, 70, 92]
  Compare 62 and 4
  Swap 62 and 4
  List after swap: [-12, 42, 17, 4, 62, 33, 70, 92]
  Compare 62 and 33
  Swap 62 and 33
  List after swap: [-12, 42, 17, 4, 33, 62, 70, 92]

Pass 4:
  Compare -12 and 42
  No swap needed
  Compare 42 and 17
  Swap 42 and 17
  List after swap: [-12, 17, 42, 4, 33, 62, 70, 92]
  Compare 42 and 4
  Swap 42 and 4
  List after swap: [-12, 17, 4, 42, 33, 62, 70, 92]
  Compare 42 and 33
  Swap 42 and 33
  List after swap: [-12, 17, 4, 33, 42, 62, 70, 92]

Pass 5:
  Compare -12 and 17
  No swap needed
  Compare 17 and 4
  Swap 17 and 4
  List after swap: [-12, 4, 17, 33, 42, 62, 70, 92]
  Compare 17 and 33
  No swap needed

Pass 6:
  Compare -12 and 4
  No swap needed
  Compare 4 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-12, 4, 17, 33, 42, 62, 70, 92]
</think>

<response>-12, 4, 17, 33, 42, 62, 70, 92</response>


input: Demonstrate how bubble sort orders the integers -45, 71, -89, -31 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-45, 71, -89, -31]

Pass 1:
  Compare -45 and 71
  No swap needed
  Compare 71 and -89
  Swap 71 and -89
  List after swap: [-45, -89, 71, -31]
  Compare 71 and -31
  Swap 71 and -31
  List after swap: [-45, -89, -31, 71]

Pass 2:
  Compare -45 and -89
  Swap -45 and -89
  List after swap: [-89, -45, -31, 71]
  Compare -45 and -31
  No swap needed

Pass 3:
  Compare -89 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -45, -31, 71]
</think>

<response>-89, -45, -31, 71</response>