input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -46, 15, -20, -19, -86, -33, -53, -6.

output:
<think>
Initial list: [-46, 15, -20, -19, -86, -33, -53, -6]

Pass 1:
  Compare -46 and 15
  No swap needed
  Compare 15 and -20
  Swap 15 and -20
  List after swap: [-46, -20, 15, -19, -86, -33, -53, -6]
  Compare 15 and -19
  Swap 15 and -19
  List after swap: [-46, -20, -19, 15, -86, -33, -53, -6]
  Compare 15 and -86
  Swap 15 and -86
  List after swap: [-46, -20, -19, -86, 15, -33, -53, -6]
  Compare 15 and -33
  Swap 15 and -33
  List after swap: [-46, -20, -19, -86, -33, 15, -53, -6]
  Compare 15 and -53
  Swap 15 and -53
  List after swap: [-46, -20, -19, -86, -33, -53, 15, -6]
  Compare 15 and -6
  Swap 15 and -6
  List after swap: [-46, -20, -19, -86, -33, -53, -6, 15]

Pass 2:
  Compare -46 and -20
  No swap needed
  Compare -20 and -19
  No swap needed
  Compare -19 and -86
  Swap -19 and -86
  List after swap: [-46, -20, -86, -19, -33, -53, -6, 15]
  Compare -19 and -33
  Swap -19 and -33
  List after swap: [-46, -20, -86, -33, -19, -53, -6, 15]
  Compare -19 and -53
  Swap -19 and -53
  List after swap: [-46, -20, -86, -33, -53, -19, -6, 15]
  Compare -19 and -6
  No swap needed

Pass 3:
  Compare -46 and -20
  No swap needed
  Compare -20 and -86
  Swap -20 and -86
  List after swap: [-46, -86, -20, -33, -53, -19, -6, 15]
  Compare -20 and -33
  Swap -20 and -33
  List after swap: [-46, -86, -33, -20, -53, -19, -6, 15]
  Compare -20 and -53
  Swap -20 and -53
  List after swap: [-46, -86, -33, -53, -20, -19, -6, 15]
  Compare -20 and -19
  No swap needed

Pass 4:
  Compare -46 and -86
  Swap -46 and -86
  List after swap: [-86, -46, -33, -53, -20, -19, -6, 15]
  Compare -46 and -33
  No swap needed
  Compare -33 and -53
  Swap -33 and -53
  List after swap: [-86, -46, -53, -33, -20, -19, -6, 15]
  Compare -33 and -20
  No swap needed

Pass 5:
  Compare -86 and -46
  No swap needed
  Compare -46 and -53
  Swap -46 and -53
  List after swap: [-86, -53, -46, -33, -20, -19, -6, 15]
  Compare -46 and -33
  No swap needed

Pass 6:
  Compare -86 and -53
  No swap needed
  Compare -53 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -53, -46, -33, -20, -19, -6, 15]
</think>

<response>-86, -53, -46, -33, -20, -19, -6, 15</response>


input: Perform a bubble sort on the integers -19, 8, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-19, 8]

Pass 1:
  Compare -19 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-19, 8]
</think>

<response>-19, 8</response>


input: Sort the list -99, 15, -67, 27, -94 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-99, 15, -67, 27, -94]

Pass 1:
  Compare -99 and 15
  No swap needed
  Compare 15 and -67
  Swap 15 and -67
  List after swap: [-99, -67, 15, 27, -94]
  Compare 15 and 27
  No swap needed
  Compare 27 and -94
  Swap 27 and -94
  List after swap: [-99, -67, 15, -94, 27]

Pass 2:
  Compare -99 and -67
  No swap needed
  Compare -67 and 15
  No swap needed
  Compare 15 and -94
  Swap 15 and -94
  List after swap: [-99, -67, -94, 15, 27]

Pass 3:
  Compare -99 and -67
  No swap needed
  Compare -67 and -94
  Swap -67 and -94
  List after swap: [-99, -94, -67, 15, 27]

Pass 4:
  Compare -99 and -94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -94, -67, 15, 27]
</think>

<response>-99, -94, -67, 15, 27</response>


input: Sort the list 6, -100 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [6, -100]

Pass 1:
  Compare 6 and -100
  Swap 6 and -100
  List after swap: [-100, 6]

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

Final sorted list: [-100, 6]
</think>

<response>-100, 6</response>


input: Sort these integers 68, -8, 5, 31, 26, 2, 89 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [68, -8, 5, 31, 26, 2, 89]

Pass 1:
  Compare 68 and -8
  Swap 68 and -8
  List after swap: [-8, 68, 5, 31, 26, 2, 89]
  Compare 68 and 5
  Swap 68 and 5
  List after swap: [-8, 5, 68, 31, 26, 2, 89]
  Compare 68 and 31
  Swap 68 and 31
  List after swap: [-8, 5, 31, 68, 26, 2, 89]
  Compare 68 and 26
  Swap 68 and 26
  List after swap: [-8, 5, 31, 26, 68, 2, 89]
  Compare 68 and 2
  Swap 68 and 2
  List after swap: [-8, 5, 31, 26, 2, 68, 89]
  Compare 68 and 89
  No swap needed

Pass 2:
  Compare -8 and 5
  No swap needed
  Compare 5 and 31
  No swap needed
  Compare 31 and 26
  Swap 31 and 26
  List after swap: [-8, 5, 26, 31, 2, 68, 89]
  Compare 31 and 2
  Swap 31 and 2
  List after swap: [-8, 5, 26, 2, 31, 68, 89]
  Compare 31 and 68
  No swap needed

Pass 3:
  Compare -8 and 5
  No swap needed
  Compare 5 and 26
  No swap needed
  Compare 26 and 2
  Swap 26 and 2
  List after swap: [-8, 5, 2, 26, 31, 68, 89]
  Compare 26 and 31
  No swap needed

Pass 4:
  Compare -8 and 5
  No swap needed
  Compare 5 and 2
  Swap 5 and 2
  List after swap: [-8, 2, 5, 26, 31, 68, 89]
  Compare 5 and 26
  No swap needed

Pass 5:
  Compare -8 and 2
  No swap needed
  Compare 2 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-8, 2, 5, 26, 31, 68, 89]
</think>

<response>-8, 2, 5, 26, 31, 68, 89</response>


input: Execute bubble sort to sort -47, -85, -97, 23, -7, 28, 27, -15, 12 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-47, -85, -97, 23, -7, 28, 27, -15, 12]

Pass 1:
  Compare -47 and -85
  Swap -47 and -85
  List after swap: [-85, -47, -97, 23, -7, 28, 27, -15, 12]
  Compare -47 and -97
  Swap -47 and -97
  List after swap: [-85, -97, -47, 23, -7, 28, 27, -15, 12]
  Compare -47 and 23
  No swap needed
  Compare 23 and -7
  Swap 23 and -7
  List after swap: [-85, -97, -47, -7, 23, 28, 27, -15, 12]
  Compare 23 and 28
  No swap needed
  Compare 28 and 27
  Swap 28 and 27
  List after swap: [-85, -97, -47, -7, 23, 27, 28, -15, 12]
  Compare 28 and -15
  Swap 28 and -15
  List after swap: [-85, -97, -47, -7, 23, 27, -15, 28, 12]
  Compare 28 and 12
  Swap 28 and 12
  List after swap: [-85, -97, -47, -7, 23, 27, -15, 12, 28]

Pass 2:
  Compare -85 and -97
  Swap -85 and -97
  List after swap: [-97, -85, -47, -7, 23, 27, -15, 12, 28]
  Compare -85 and -47
  No swap needed
  Compare -47 and -7
  No swap needed
  Compare -7 and 23
  No swap needed
  Compare 23 and 27
  No swap needed
  Compare 27 and -15
  Swap 27 and -15
  List after swap: [-97, -85, -47, -7, 23, -15, 27, 12, 28]
  Compare 27 and 12
  Swap 27 and 12
  List after swap: [-97, -85, -47, -7, 23, -15, 12, 27, 28]

Pass 3:
  Compare -97 and -85
  No swap needed
  Compare -85 and -47
  No swap needed
  Compare -47 and -7
  No swap needed
  Compare -7 and 23
  No swap needed
  Compare 23 and -15
  Swap 23 and -15
  List after swap: [-97, -85, -47, -7, -15, 23, 12, 27, 28]
  Compare 23 and 12
  Swap 23 and 12
  List after swap: [-97, -85, -47, -7, -15, 12, 23, 27, 28]

Pass 4:
  Compare -97 and -85
  No swap needed
  Compare -85 and -47
  No swap needed
  Compare -47 and -7
  No swap needed
  Compare -7 and -15
  Swap -7 and -15
  List after swap: [-97, -85, -47, -15, -7, 12, 23, 27, 28]
  Compare -7 and 12
  No swap needed

Pass 5:
  Compare -97 and -85
  No swap needed
  Compare -85 and -47
  No swap needed
  Compare -47 and -15
  No swap needed
  Compare -15 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -85, -47, -15, -7, 12, 23, 27, 28]
</think>

<response>-97, -85, -47, -15, -7, 12, 23, 27, 28</response>


input: Implement bubble sort on -78, 53, 58, 6, 30, 45 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-78, 53, 58, 6, 30, 45]

Pass 1:
  Compare -78 and 53
  No swap needed
  Compare 53 and 58
  No swap needed
  Compare 58 and 6
  Swap 58 and 6
  List after swap: [-78, 53, 6, 58, 30, 45]
  Compare 58 and 30
  Swap 58 and 30
  List after swap: [-78, 53, 6, 30, 58, 45]
  Compare 58 and 45
  Swap 58 and 45
  List after swap: [-78, 53, 6, 30, 45, 58]

Pass 2:
  Compare -78 and 53
  No swap needed
  Compare 53 and 6
  Swap 53 and 6
  List after swap: [-78, 6, 53, 30, 45, 58]
  Compare 53 and 30
  Swap 53 and 30
  List after swap: [-78, 6, 30, 53, 45, 58]
  Compare 53 and 45
  Swap 53 and 45
  List after swap: [-78, 6, 30, 45, 53, 58]

Pass 3:
  Compare -78 and 6
  No swap needed
  Compare 6 and 30
  No swap needed
  Compare 30 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 6, 30, 45, 53, 58]
</think>

<response>-78, 6, 30, 45, 53, 58</response>


input: Arrange the numbers -50, -27, 9, 28, 10 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-50, -27, 9, 28, 10]

Pass 1:
  Compare -50 and -27
  No swap needed
  Compare -27 and 9
  No swap needed
  Compare 9 and 28
  No swap needed
  Compare 28 and 10
  Swap 28 and 10
  List after swap: [-50, -27, 9, 10, 28]

Pass 2:
  Compare -50 and -27
  No swap needed
  Compare -27 and 9
  No swap needed
  Compare 9 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -27, 9, 10, 28]
</think>

<response>-50, -27, 9, 10, 28</response>


input: Sort these integers 91, 78, -26, 70, 71 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [91, 78, -26, 70, 71]

Pass 1:
  Compare 91 and 78
  Swap 91 and 78
  List after swap: [78, 91, -26, 70, 71]
  Compare 91 and -26
  Swap 91 and -26
  List after swap: [78, -26, 91, 70, 71]
  Compare 91 and 70
  Swap 91 and 70
  List after swap: [78, -26, 70, 91, 71]
  Compare 91 and 71
  Swap 91 and 71
  List after swap: [78, -26, 70, 71, 91]

Pass 2:
  Compare 78 and -26
  Swap 78 and -26
  List after swap: [-26, 78, 70, 71, 91]
  Compare 78 and 70
  Swap 78 and 70
  List after swap: [-26, 70, 78, 71, 91]
  Compare 78 and 71
  Swap 78 and 71
  List after swap: [-26, 70, 71, 78, 91]

Pass 3:
  Compare -26 and 70
  No swap needed
  Compare 70 and 71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, 70, 71, 78, 91]
</think>

<response>-26, 70, 71, 78, 91</response>


input: Sort the list 58, -35, -15 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [58, -35, -15]

Pass 1:
  Compare 58 and -35
  Swap 58 and -35
  List after swap: [-35, 58, -15]
  Compare 58 and -15
  Swap 58 and -15
  List after swap: [-35, -15, 58]

Pass 2:
  Compare -35 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -15, 58]
</think>

<response>-35, -15, 58</response>


input: Execute bubble sort to sort 37, -84, -30, 8, 33 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [37, -84, -30, 8, 33]

Pass 1:
  Compare 37 and -84
  Swap 37 and -84
  List after swap: [-84, 37, -30, 8, 33]
  Compare 37 and -30
  Swap 37 and -30
  List after swap: [-84, -30, 37, 8, 33]
  Compare 37 and 8
  Swap 37 and 8
  List after swap: [-84, -30, 8, 37, 33]
  Compare 37 and 33
  Swap 37 and 33
  List after swap: [-84, -30, 8, 33, 37]

Pass 2:
  Compare -84 and -30
  No swap needed
  Compare -30 and 8
  No swap needed
  Compare 8 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -30, 8, 33, 37]
</think>

<response>-84, -30, 8, 33, 37</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 79, -70, 34, -45, -84, 80, -18.

output:
<think>
Initial list: [79, -70, 34, -45, -84, 80, -18]

Pass 1:
  Compare 79 and -70
  Swap 79 and -70
  List after swap: [-70, 79, 34, -45, -84, 80, -18]
  Compare 79 and 34
  Swap 79 and 34
  List after swap: [-70, 34, 79, -45, -84, 80, -18]
  Compare 79 and -45
  Swap 79 and -45
  List after swap: [-70, 34, -45, 79, -84, 80, -18]
  Compare 79 and -84
  Swap 79 and -84
  List after swap: [-70, 34, -45, -84, 79, 80, -18]
  Compare 79 and 80
  No swap needed
  Compare 80 and -18
  Swap 80 and -18
  List after swap: [-70, 34, -45, -84, 79, -18, 80]

Pass 2:
  Compare -70 and 34
  No swap needed
  Compare 34 and -45
  Swap 34 and -45
  List after swap: [-70, -45, 34, -84, 79, -18, 80]
  Compare 34 and -84
  Swap 34 and -84
  List after swap: [-70, -45, -84, 34, 79, -18, 80]
  Compare 34 and 79
  No swap needed
  Compare 79 and -18
  Swap 79 and -18
  List after swap: [-70, -45, -84, 34, -18, 79, 80]

Pass 3:
  Compare -70 and -45
  No swap needed
  Compare -45 and -84
  Swap -45 and -84
  List after swap: [-70, -84, -45, 34, -18, 79, 80]
  Compare -45 and 34
  No swap needed
  Compare 34 and -18
  Swap 34 and -18
  List after swap: [-70, -84, -45, -18, 34, 79, 80]

Pass 4:
  Compare -70 and -84
  Swap -70 and -84
  List after swap: [-84, -70, -45, -18, 34, 79, 80]
  Compare -70 and -45
  No swap needed
  Compare -45 and -18
  No swap needed

Pass 5:
  Compare -84 and -70
  No swap needed
  Compare -70 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -70, -45, -18, 34, 79, 80]
</think>

<response>-84, -70, -45, -18, 34, 79, 80</response>


input: Sort these integers 74, -30, 45, -88, -65, 63, -93, 11, -8, -15 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [74, -30, 45, -88, -65, 63, -93, 11, -8, -15]

Pass 1:
  Compare 74 and -30
  Swap 74 and -30
  List after swap: [-30, 74, 45, -88, -65, 63, -93, 11, -8, -15]
  Compare 74 and 45
  Swap 74 and 45
  List after swap: [-30, 45, 74, -88, -65, 63, -93, 11, -8, -15]
  Compare 74 and -88
  Swap 74 and -88
  List after swap: [-30, 45, -88, 74, -65, 63, -93, 11, -8, -15]
  Compare 74 and -65
  Swap 74 and -65
  List after swap: [-30, 45, -88, -65, 74, 63, -93, 11, -8, -15]
  Compare 74 and 63
  Swap 74 and 63
  List after swap: [-30, 45, -88, -65, 63, 74, -93, 11, -8, -15]
  Compare 74 and -93
  Swap 74 and -93
  List after swap: [-30, 45, -88, -65, 63, -93, 74, 11, -8, -15]
  Compare 74 and 11
  Swap 74 and 11
  List after swap: [-30, 45, -88, -65, 63, -93, 11, 74, -8, -15]
  Compare 74 and -8
  Swap 74 and -8
  List after swap: [-30, 45, -88, -65, 63, -93, 11, -8, 74, -15]
  Compare 74 and -15
  Swap 74 and -15
  List after swap: [-30, 45, -88, -65, 63, -93, 11, -8, -15, 74]

Pass 2:
  Compare -30 and 45
  No swap needed
  Compare 45 and -88
  Swap 45 and -88
  List after swap: [-30, -88, 45, -65, 63, -93, 11, -8, -15, 74]
  Compare 45 and -65
  Swap 45 and -65
  List after swap: [-30, -88, -65, 45, 63, -93, 11, -8, -15, 74]
  Compare 45 and 63
  No swap needed
  Compare 63 and -93
  Swap 63 and -93
  List after swap: [-30, -88, -65, 45, -93, 63, 11, -8, -15, 74]
  Compare 63 and 11
  Swap 63 and 11
  List after swap: [-30, -88, -65, 45, -93, 11, 63, -8, -15, 74]
  Compare 63 and -8
  Swap 63 and -8
  List after swap: [-30, -88, -65, 45, -93, 11, -8, 63, -15, 74]
  Compare 63 and -15
  Swap 63 and -15
  List after swap: [-30, -88, -65, 45, -93, 11, -8, -15, 63, 74]

Pass 3:
  Compare -30 and -88
  Swap -30 and -88
  List after swap: [-88, -30, -65, 45, -93, 11, -8, -15, 63, 74]
  Compare -30 and -65
  Swap -30 and -65
  List after swap: [-88, -65, -30, 45, -93, 11, -8, -15, 63, 74]
  Compare -30 and 45
  No swap needed
  Compare 45 and -93
  Swap 45 and -93
  List after swap: [-88, -65, -30, -93, 45, 11, -8, -15, 63, 74]
  Compare 45 and 11
  Swap 45 and 11
  List after swap: [-88, -65, -30, -93, 11, 45, -8, -15, 63, 74]
  Compare 45 and -8
  Swap 45 and -8
  List after swap: [-88, -65, -30, -93, 11, -8, 45, -15, 63, 74]
  Compare 45 and -15
  Swap 45 and -15
  List after swap: [-88, -65, -30, -93, 11, -8, -15, 45, 63, 74]

Pass 4:
  Compare -88 and -65
  No swap needed
  Compare -65 and -30
  No swap needed
  Compare -30 and -93
  Swap -30 and -93
  List after swap: [-88, -65, -93, -30, 11, -8, -15, 45, 63, 74]
  Compare -30 and 11
  No swap needed
  Compare 11 and -8
  Swap 11 and -8
  List after swap: [-88, -65, -93, -30, -8, 11, -15, 45, 63, 74]
  Compare 11 and -15
  Swap 11 and -15
  List after swap: [-88, -65, -93, -30, -8, -15, 11, 45, 63, 74]

Pass 5:
  Compare -88 and -65
  No swap needed
  Compare -65 and -93
  Swap -65 and -93
  List after swap: [-88, -93, -65, -30, -8, -15, 11, 45, 63, 74]
  Compare -65 and -30
  No swap needed
  Compare -30 and -8
  No swap needed
  Compare -8 and -15
  Swap -8 and -15
  List after swap: [-88, -93, -65, -30, -15, -8, 11, 45, 63, 74]

Pass 6:
  Compare -88 and -93
  Swap -88 and -93
  List after swap: [-93, -88, -65, -30, -15, -8, 11, 45, 63, 74]
  Compare -88 and -65
  No swap needed
  Compare -65 and -30
  No swap needed
  Compare -30 and -15
  No swap needed

Pass 7:
  Compare -93 and -88
  No swap needed
  Compare -88 and -65
  No swap needed
  Compare -65 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -88, -65, -30, -15, -8, 11, 45, 63, 74]
</think>

<response>-93, -88, -65, -30, -15, -8, 11, 45, 63, 74</response>


input: Perform a bubble sort on the integers 43, 50, 62, -45, -58, -59, -65, -82, 10, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [43, 50, 62, -45, -58, -59, -65, -82, 10]

Pass 1:
  Compare 43 and 50
  No swap needed
  Compare 50 and 62
  No swap needed
  Compare 62 and -45
  Swap 62 and -45
  List after swap: [43, 50, -45, 62, -58, -59, -65, -82, 10]
  Compare 62 and -58
  Swap 62 and -58
  List after swap: [43, 50, -45, -58, 62, -59, -65, -82, 10]
  Compare 62 and -59
  Swap 62 and -59
  List after swap: [43, 50, -45, -58, -59, 62, -65, -82, 10]
  Compare 62 and -65
  Swap 62 and -65
  List after swap: [43, 50, -45, -58, -59, -65, 62, -82, 10]
  Compare 62 and -82
  Swap 62 and -82
  List after swap: [43, 50, -45, -58, -59, -65, -82, 62, 10]
  Compare 62 and 10
  Swap 62 and 10
  List after swap: [43, 50, -45, -58, -59, -65, -82, 10, 62]

Pass 2:
  Compare 43 and 50
  No swap needed
  Compare 50 and -45
  Swap 50 and -45
  List after swap: [43, -45, 50, -58, -59, -65, -82, 10, 62]
  Compare 50 and -58
  Swap 50 and -58
  List after swap: [43, -45, -58, 50, -59, -65, -82, 10, 62]
  Compare 50 and -59
  Swap 50 and -59
  List after swap: [43, -45, -58, -59, 50, -65, -82, 10, 62]
  Compare 50 and -65
  Swap 50 and -65
  List after swap: [43, -45, -58, -59, -65, 50, -82, 10, 62]
  Compare 50 and -82
  Swap 50 and -82
  List after swap: [43, -45, -58, -59, -65, -82, 50, 10, 62]
  Compare 50 and 10
  Swap 50 and 10
  List after swap: [43, -45, -58, -59, -65, -82, 10, 50, 62]

Pass 3:
  Compare 43 and -45
  Swap 43 and -45
  List after swap: [-45, 43, -58, -59, -65, -82, 10, 50, 62]
  Compare 43 and -58
  Swap 43 and -58
  List after swap: [-45, -58, 43, -59, -65, -82, 10, 50, 62]
  Compare 43 and -59
  Swap 43 and -59
  List after swap: [-45, -58, -59, 43, -65, -82, 10, 50, 62]
  Compare 43 and -65
  Swap 43 and -65
  List after swap: [-45, -58, -59, -65, 43, -82, 10, 50, 62]
  Compare 43 and -82
  Swap 43 and -82
  List after swap: [-45, -58, -59, -65, -82, 43, 10, 50, 62]
  Compare 43 and 10
  Swap 43 and 10
  List after swap: [-45, -58, -59, -65, -82, 10, 43, 50, 62]

Pass 4:
  Compare -45 and -58
  Swap -45 and -58
  List after swap: [-58, -45, -59, -65, -82, 10, 43, 50, 62]
  Compare -45 and -59
  Swap -45 and -59
  List after swap: [-58, -59, -45, -65, -82, 10, 43, 50, 62]
  Compare -45 and -65
  Swap -45 and -65
  List after swap: [-58, -59, -65, -45, -82, 10, 43, 50, 62]
  Compare -45 and -82
  Swap -45 and -82
  List after swap: [-58, -59, -65, -82, -45, 10, 43, 50, 62]
  Compare -45 and 10
  No swap needed

Pass 5:
  Compare -58 and -59
  Swap -58 and -59
  List after swap: [-59, -58, -65, -82, -45, 10, 43, 50, 62]
  Compare -58 and -65
  Swap -58 and -65
  List after swap: [-59, -65, -58, -82, -45, 10, 43, 50, 62]
  Compare -58 and -82
  Swap -58 and -82
  List after swap: [-59, -65, -82, -58, -45, 10, 43, 50, 62]
  Compare -58 and -45
  No swap needed

Pass 6:
  Compare -59 and -65
  Swap -59 and -65
  List after swap: [-65, -59, -82, -58, -45, 10, 43, 50, 62]
  Compare -59 and -82
  Swap -59 and -82
  List after swap: [-65, -82, -59, -58, -45, 10, 43, 50, 62]
  Compare -59 and -58
  No swap needed

Pass 7:
  Compare -65 and -82
  Swap -65 and -82
  List after swap: [-82, -65, -59, -58, -45, 10, 43, 50, 62]
  Compare -65 and -59
  No swap needed

Pass 8:
  Compare -82 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -65, -59, -58, -45, 10, 43, 50, 62]
</think>

<response>-82, -65, -59, -58, -45, 10, 43, 50, 62</response>


input: Sort the list -100, 93, 72, 23, 62, 42, -77, 68 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-100, 93, 72, 23, 62, 42, -77, 68]

Pass 1:
  Compare -100 and 93
  No swap needed
  Compare 93 and 72
  Swap 93 and 72
  List after swap: [-100, 72, 93, 23, 62, 42, -77, 68]
  Compare 93 and 23
  Swap 93 and 23
  List after swap: [-100, 72, 23, 93, 62, 42, -77, 68]
  Compare 93 and 62
  Swap 93 and 62
  List after swap: [-100, 72, 23, 62, 93, 42, -77, 68]
  Compare 93 and 42
  Swap 93 and 42
  List after swap: [-100, 72, 23, 62, 42, 93, -77, 68]
  Compare 93 and -77
  Swap 93 and -77
  List after swap: [-100, 72, 23, 62, 42, -77, 93, 68]
  Compare 93 and 68
  Swap 93 and 68
  List after swap: [-100, 72, 23, 62, 42, -77, 68, 93]

Pass 2:
  Compare -100 and 72
  No swap needed
  Compare 72 and 23
  Swap 72 and 23
  List after swap: [-100, 23, 72, 62, 42, -77, 68, 93]
  Compare 72 and 62
  Swap 72 and 62
  List after swap: [-100, 23, 62, 72, 42, -77, 68, 93]
  Compare 72 and 42
  Swap 72 and 42
  List after swap: [-100, 23, 62, 42, 72, -77, 68, 93]
  Compare 72 and -77
  Swap 72 and -77
  List after swap: [-100, 23, 62, 42, -77, 72, 68, 93]
  Compare 72 and 68
  Swap 72 and 68
  List after swap: [-100, 23, 62, 42, -77, 68, 72, 93]

Pass 3:
  Compare -100 and 23
  No swap needed
  Compare 23 and 62
  No swap needed
  Compare 62 and 42
  Swap 62 and 42
  List after swap: [-100, 23, 42, 62, -77, 68, 72, 93]
  Compare 62 and -77
  Swap 62 and -77
  List after swap: [-100, 23, 42, -77, 62, 68, 72, 93]
  Compare 62 and 68
  No swap needed

Pass 4:
  Compare -100 and 23
  No swap needed
  Compare 23 and 42
  No swap needed
  Compare 42 and -77
  Swap 42 and -77
  List after swap: [-100, 23, -77, 42, 62, 68, 72, 93]
  Compare 42 and 62
  No swap needed

Pass 5:
  Compare -100 and 23
  No swap needed
  Compare 23 and -77
  Swap 23 and -77
  List after swap: [-100, -77, 23, 42, 62, 68, 72, 93]
  Compare 23 and 42
  No swap needed

Pass 6:
  Compare -100 and -77
  No swap needed
  Compare -77 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -77, 23, 42, 62, 68, 72, 93]
</think>

<response>-100, -77, 23, 42, 62, 68, 72, 93</response>


input: Perform a bubble sort on the integers 16, 52, 23, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [16, 52, 23]

Pass 1:
  Compare 16 and 52
  No swap needed
  Compare 52 and 23
  Swap 52 and 23
  List after swap: [16, 23, 52]

Pass 2:
  Compare 16 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [16, 23, 52]
</think>

<response>16, 23, 52</response>


input: Carry out the bubble sort algorithm on -20, -36, 49, 12, -12, -65 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-20, -36, 49, 12, -12, -65]

Pass 1:
  Compare -20 and -36
  Swap -20 and -36
  List after swap: [-36, -20, 49, 12, -12, -65]
  Compare -20 and 49
  No swap needed
  Compare 49 and 12
  Swap 49 and 12
  List after swap: [-36, -20, 12, 49, -12, -65]
  Compare 49 and -12
  Swap 49 and -12
  List after swap: [-36, -20, 12, -12, 49, -65]
  Compare 49 and -65
  Swap 49 and -65
  List after swap: [-36, -20, 12, -12, -65, 49]

Pass 2:
  Compare -36 and -20
  No swap needed
  Compare -20 and 12
  No swap needed
  Compare 12 and -12
  Swap 12 and -12
  List after swap: [-36, -20, -12, 12, -65, 49]
  Compare 12 and -65
  Swap 12 and -65
  List after swap: [-36, -20, -12, -65, 12, 49]

Pass 3:
  Compare -36 and -20
  No swap needed
  Compare -20 and -12
  No swap needed
  Compare -12 and -65
  Swap -12 and -65
  List after swap: [-36, -20, -65, -12, 12, 49]

Pass 4:
  Compare -36 and -20
  No swap needed
  Compare -20 and -65
  Swap -20 and -65
  List after swap: [-36, -65, -20, -12, 12, 49]

Pass 5:
  Compare -36 and -65
  Swap -36 and -65
  List after swap: [-65, -36, -20, -12, 12, 49]

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

Final sorted list: [-65, -36, -20, -12, 12, 49]
</think>

<response>-65, -36, -20, -12, 12, 49</response>


input: Demonstrate how bubble sort orders the integers 32, -81 in ascending sequence, showing all steps.

output:
<think>
Initial list: [32, -81]

Pass 1:
  Compare 32 and -81
  Swap 32 and -81
  List after swap: [-81, 32]

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

Final sorted list: [-81, 32]
</think>

<response>-81, 32</response>


input: Arrange the numbers 68, -10, 52, 87, 73, -86, 63, -60, 18 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [68, -10, 52, 87, 73, -86, 63, -60, 18]

Pass 1:
  Compare 68 and -10
  Swap 68 and -10
  List after swap: [-10, 68, 52, 87, 73, -86, 63, -60, 18]
  Compare 68 and 52
  Swap 68 and 52
  List after swap: [-10, 52, 68, 87, 73, -86, 63, -60, 18]
  Compare 68 and 87
  No swap needed
  Compare 87 and 73
  Swap 87 and 73
  List after swap: [-10, 52, 68, 73, 87, -86, 63, -60, 18]
  Compare 87 and -86
  Swap 87 and -86
  List after swap: [-10, 52, 68, 73, -86, 87, 63, -60, 18]
  Compare 87 and 63
  Swap 87 and 63
  List after swap: [-10, 52, 68, 73, -86, 63, 87, -60, 18]
  Compare 87 and -60
  Swap 87 and -60
  List after swap: [-10, 52, 68, 73, -86, 63, -60, 87, 18]
  Compare 87 and 18
  Swap 87 and 18
  List after swap: [-10, 52, 68, 73, -86, 63, -60, 18, 87]

Pass 2:
  Compare -10 and 52
  No swap needed
  Compare 52 and 68
  No swap needed
  Compare 68 and 73
  No swap needed
  Compare 73 and -86
  Swap 73 and -86
  List after swap: [-10, 52, 68, -86, 73, 63, -60, 18, 87]
  Compare 73 and 63
  Swap 73 and 63
  List after swap: [-10, 52, 68, -86, 63, 73, -60, 18, 87]
  Compare 73 and -60
  Swap 73 and -60
  List after swap: [-10, 52, 68, -86, 63, -60, 73, 18, 87]
  Compare 73 and 18
  Swap 73 and 18
  List after swap: [-10, 52, 68, -86, 63, -60, 18, 73, 87]

Pass 3:
  Compare -10 and 52
  No swap needed
  Compare 52 and 68
  No swap needed
  Compare 68 and -86
  Swap 68 and -86
  List after swap: [-10, 52, -86, 68, 63, -60, 18, 73, 87]
  Compare 68 and 63
  Swap 68 and 63
  List after swap: [-10, 52, -86, 63, 68, -60, 18, 73, 87]
  Compare 68 and -60
  Swap 68 and -60
  List after swap: [-10, 52, -86, 63, -60, 68, 18, 73, 87]
  Compare 68 and 18
  Swap 68 and 18
  List after swap: [-10, 52, -86, 63, -60, 18, 68, 73, 87]

Pass 4:
  Compare -10 and 52
  No swap needed
  Compare 52 and -86
  Swap 52 and -86
  List after swap: [-10, -86, 52, 63, -60, 18, 68, 73, 87]
  Compare 52 and 63
  No swap needed
  Compare 63 and -60
  Swap 63 and -60
  List after swap: [-10, -86, 52, -60, 63, 18, 68, 73, 87]
  Compare 63 and 18
  Swap 63 and 18
  List after swap: [-10, -86, 52, -60, 18, 63, 68, 73, 87]

Pass 5:
  Compare -10 and -86
  Swap -10 and -86
  List after swap: [-86, -10, 52, -60, 18, 63, 68, 73, 87]
  Compare -10 and 52
  No swap needed
  Compare 52 and -60
  Swap 52 and -60
  List after swap: [-86, -10, -60, 52, 18, 63, 68, 73, 87]
  Compare 52 and 18
  Swap 52 and 18
  List after swap: [-86, -10, -60, 18, 52, 63, 68, 73, 87]

Pass 6:
  Compare -86 and -10
  No swap needed
  Compare -10 and -60
  Swap -10 and -60
  List after swap: [-86, -60, -10, 18, 52, 63, 68, 73, 87]
  Compare -10 and 18
  No swap needed

Pass 7:
  Compare -86 and -60
  No swap needed
  Compare -60 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -60, -10, 18, 52, 63, 68, 73, 87]
</think>

<response>-86, -60, -10, 18, 52, 63, 68, 73, 87</response>


input: Implement bubble sort on 67, -48 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [67, -48]

Pass 1:
  Compare 67 and -48
  Swap 67 and -48
  List after swap: [-48, 67]

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

Final sorted list: [-48, 67]
</think>

<response>-48, 67</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 42, -40, -93.

output:
<think>
Initial list: [42, -40, -93]

Pass 1:
  Compare 42 and -40
  Swap 42 and -40
  List after swap: [-40, 42, -93]
  Compare 42 and -93
  Swap 42 and -93
  List after swap: [-40, -93, 42]

Pass 2:
  Compare -40 and -93
  Swap -40 and -93
  List after swap: [-93, -40, 42]

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

Final sorted list: [-93, -40, 42]
</think>

<response>-93, -40, 42</response>


input: Arrange the numbers 64, -6, -80 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [64, -6, -80]

Pass 1:
  Compare 64 and -6
  Swap 64 and -6
  List after swap: [-6, 64, -80]
  Compare 64 and -80
  Swap 64 and -80
  List after swap: [-6, -80, 64]

Pass 2:
  Compare -6 and -80
  Swap -6 and -80
  List after swap: [-80, -6, 64]

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

Final sorted list: [-80, -6, 64]
</think>

<response>-80, -6, 64</response>


input: Perform a bubble sort on the integers -87, -73, -47, -21, -59, 87, 40, -30, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-87, -73, -47, -21, -59, 87, 40, -30]

Pass 1:
  Compare -87 and -73
  No swap needed
  Compare -73 and -47
  No swap needed
  Compare -47 and -21
  No swap needed
  Compare -21 and -59
  Swap -21 and -59
  List after swap: [-87, -73, -47, -59, -21, 87, 40, -30]
  Compare -21 and 87
  No swap needed
  Compare 87 and 40
  Swap 87 and 40
  List after swap: [-87, -73, -47, -59, -21, 40, 87, -30]
  Compare 87 and -30
  Swap 87 and -30
  List after swap: [-87, -73, -47, -59, -21, 40, -30, 87]

Pass 2:
  Compare -87 and -73
  No swap needed
  Compare -73 and -47
  No swap needed
  Compare -47 and -59
  Swap -47 and -59
  List after swap: [-87, -73, -59, -47, -21, 40, -30, 87]
  Compare -47 and -21
  No swap needed
  Compare -21 and 40
  No swap needed
  Compare 40 and -30
  Swap 40 and -30
  List after swap: [-87, -73, -59, -47, -21, -30, 40, 87]

Pass 3:
  Compare -87 and -73
  No swap needed
  Compare -73 and -59
  No swap needed
  Compare -59 and -47
  No swap needed
  Compare -47 and -21
  No swap needed
  Compare -21 and -30
  Swap -21 and -30
  List after swap: [-87, -73, -59, -47, -30, -21, 40, 87]

Pass 4:
  Compare -87 and -73
  No swap needed
  Compare -73 and -59
  No swap needed
  Compare -59 and -47
  No swap needed
  Compare -47 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -73, -59, -47, -30, -21, 40, 87]
</think>

<response>-87, -73, -59, -47, -30, -21, 40, 87</response>


input: Arrange the numbers -54, 48, -33 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-54, 48, -33]

Pass 1:
  Compare -54 and 48
  No swap needed
  Compare 48 and -33
  Swap 48 and -33
  List after swap: [-54, -33, 48]

Pass 2:
  Compare -54 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -33, 48]
</think>

<response>-54, -33, 48</response>


input: Execute bubble sort to sort -67, 75, 30, 10, -42, -6 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-67, 75, 30, 10, -42, -6]

Pass 1:
  Compare -67 and 75
  No swap needed
  Compare 75 and 30
  Swap 75 and 30
  List after swap: [-67, 30, 75, 10, -42, -6]
  Compare 75 and 10
  Swap 75 and 10
  List after swap: [-67, 30, 10, 75, -42, -6]
  Compare 75 and -42
  Swap 75 and -42
  List after swap: [-67, 30, 10, -42, 75, -6]
  Compare 75 and -6
  Swap 75 and -6
  List after swap: [-67, 30, 10, -42, -6, 75]

Pass 2:
  Compare -67 and 30
  No swap needed
  Compare 30 and 10
  Swap 30 and 10
  List after swap: [-67, 10, 30, -42, -6, 75]
  Compare 30 and -42
  Swap 30 and -42
  List after swap: [-67, 10, -42, 30, -6, 75]
  Compare 30 and -6
  Swap 30 and -6
  List after swap: [-67, 10, -42, -6, 30, 75]

Pass 3:
  Compare -67 and 10
  No swap needed
  Compare 10 and -42
  Swap 10 and -42
  List after swap: [-67, -42, 10, -6, 30, 75]
  Compare 10 and -6
  Swap 10 and -6
  List after swap: [-67, -42, -6, 10, 30, 75]

Pass 4:
  Compare -67 and -42
  No swap needed
  Compare -42 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -42, -6, 10, 30, 75]
</think>

<response>-67, -42, -6, 10, 30, 75</response>


input: Demonstrate how bubble sort orders the integers -67, 23, 78, -2, 52, -100, -92, -65 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-67, 23, 78, -2, 52, -100, -92, -65]

Pass 1:
  Compare -67 and 23
  No swap needed
  Compare 23 and 78
  No swap needed
  Compare 78 and -2
  Swap 78 and -2
  List after swap: [-67, 23, -2, 78, 52, -100, -92, -65]
  Compare 78 and 52
  Swap 78 and 52
  List after swap: [-67, 23, -2, 52, 78, -100, -92, -65]
  Compare 78 and -100
  Swap 78 and -100
  List after swap: [-67, 23, -2, 52, -100, 78, -92, -65]
  Compare 78 and -92
  Swap 78 and -92
  List after swap: [-67, 23, -2, 52, -100, -92, 78, -65]
  Compare 78 and -65
  Swap 78 and -65
  List after swap: [-67, 23, -2, 52, -100, -92, -65, 78]

Pass 2:
  Compare -67 and 23
  No swap needed
  Compare 23 and -2
  Swap 23 and -2
  List after swap: [-67, -2, 23, 52, -100, -92, -65, 78]
  Compare 23 and 52
  No swap needed
  Compare 52 and -100
  Swap 52 and -100
  List after swap: [-67, -2, 23, -100, 52, -92, -65, 78]
  Compare 52 and -92
  Swap 52 and -92
  List after swap: [-67, -2, 23, -100, -92, 52, -65, 78]
  Compare 52 and -65
  Swap 52 and -65
  List after swap: [-67, -2, 23, -100, -92, -65, 52, 78]

Pass 3:
  Compare -67 and -2
  No swap needed
  Compare -2 and 23
  No swap needed
  Compare 23 and -100
  Swap 23 and -100
  List after swap: [-67, -2, -100, 23, -92, -65, 52, 78]
  Compare 23 and -92
  Swap 23 and -92
  List after swap: [-67, -2, -100, -92, 23, -65, 52, 78]
  Compare 23 and -65
  Swap 23 and -65
  List after swap: [-67, -2, -100, -92, -65, 23, 52, 78]

Pass 4:
  Compare -67 and -2
  No swap needed
  Compare -2 and -100
  Swap -2 and -100
  List after swap: [-67, -100, -2, -92, -65, 23, 52, 78]
  Compare -2 and -92
  Swap -2 and -92
  List after swap: [-67, -100, -92, -2, -65, 23, 52, 78]
  Compare -2 and -65
  Swap -2 and -65
  List after swap: [-67, -100, -92, -65, -2, 23, 52, 78]

Pass 5:
  Compare -67 and -100
  Swap -67 and -100
  List after swap: [-100, -67, -92, -65, -2, 23, 52, 78]
  Compare -67 and -92
  Swap -67 and -92
  List after swap: [-100, -92, -67, -65, -2, 23, 52, 78]
  Compare -67 and -65
  No swap needed

Pass 6:
  Compare -100 and -92
  No swap needed
  Compare -92 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -92, -67, -65, -2, 23, 52, 78]
</think>

<response>-100, -92, -67, -65, -2, 23, 52, 78</response>


input: Sort these integers -81, 43, 28, 76, -22, 82, -26, 78 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-81, 43, 28, 76, -22, 82, -26, 78]

Pass 1:
  Compare -81 and 43
  No swap needed
  Compare 43 and 28
  Swap 43 and 28
  List after swap: [-81, 28, 43, 76, -22, 82, -26, 78]
  Compare 43 and 76
  No swap needed
  Compare 76 and -22
  Swap 76 and -22
  List after swap: [-81, 28, 43, -22, 76, 82, -26, 78]
  Compare 76 and 82
  No swap needed
  Compare 82 and -26
  Swap 82 and -26
  List after swap: [-81, 28, 43, -22, 76, -26, 82, 78]
  Compare 82 and 78
  Swap 82 and 78
  List after swap: [-81, 28, 43, -22, 76, -26, 78, 82]

Pass 2:
  Compare -81 and 28
  No swap needed
  Compare 28 and 43
  No swap needed
  Compare 43 and -22
  Swap 43 and -22
  List after swap: [-81, 28, -22, 43, 76, -26, 78, 82]
  Compare 43 and 76
  No swap needed
  Compare 76 and -26
  Swap 76 and -26
  List after swap: [-81, 28, -22, 43, -26, 76, 78, 82]
  Compare 76 and 78
  No swap needed

Pass 3:
  Compare -81 and 28
  No swap needed
  Compare 28 and -22
  Swap 28 and -22
  List after swap: [-81, -22, 28, 43, -26, 76, 78, 82]
  Compare 28 and 43
  No swap needed
  Compare 43 and -26
  Swap 43 and -26
  List after swap: [-81, -22, 28, -26, 43, 76, 78, 82]
  Compare 43 and 76
  No swap needed

Pass 4:
  Compare -81 and -22
  No swap needed
  Compare -22 and 28
  No swap needed
  Compare 28 and -26
  Swap 28 and -26
  List after swap: [-81, -22, -26, 28, 43, 76, 78, 82]
  Compare 28 and 43
  No swap needed

Pass 5:
  Compare -81 and -22
  No swap needed
  Compare -22 and -26
  Swap -22 and -26
  List after swap: [-81, -26, -22, 28, 43, 76, 78, 82]
  Compare -22 and 28
  No swap needed

Pass 6:
  Compare -81 and -26
  No swap needed
  Compare -26 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -26, -22, 28, 43, 76, 78, 82]
</think>

<response>-81, -26, -22, 28, 43, 76, 78, 82</response>


input: Perform a bubble sort on the integers -78, -23, -21, 5, 70, -84, -26, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-78, -23, -21, 5, 70, -84, -26]

Pass 1:
  Compare -78 and -23
  No swap needed
  Compare -23 and -21
  No swap needed
  Compare -21 and 5
  No swap needed
  Compare 5 and 70
  No swap needed
  Compare 70 and -84
  Swap 70 and -84
  List after swap: [-78, -23, -21, 5, -84, 70, -26]
  Compare 70 and -26
  Swap 70 and -26
  List after swap: [-78, -23, -21, 5, -84, -26, 70]

Pass 2:
  Compare -78 and -23
  No swap needed
  Compare -23 and -21
  No swap needed
  Compare -21 and 5
  No swap needed
  Compare 5 and -84
  Swap 5 and -84
  List after swap: [-78, -23, -21, -84, 5, -26, 70]
  Compare 5 and -26
  Swap 5 and -26
  List after swap: [-78, -23, -21, -84, -26, 5, 70]

Pass 3:
  Compare -78 and -23
  No swap needed
  Compare -23 and -21
  No swap needed
  Compare -21 and -84
  Swap -21 and -84
  List after swap: [-78, -23, -84, -21, -26, 5, 70]
  Compare -21 and -26
  Swap -21 and -26
  List after swap: [-78, -23, -84, -26, -21, 5, 70]

Pass 4:
  Compare -78 and -23
  No swap needed
  Compare -23 and -84
  Swap -23 and -84
  List after swap: [-78, -84, -23, -26, -21, 5, 70]
  Compare -23 and -26
  Swap -23 and -26
  List after swap: [-78, -84, -26, -23, -21, 5, 70]

Pass 5:
  Compare -78 and -84
  Swap -78 and -84
  List after swap: [-84, -78, -26, -23, -21, 5, 70]
  Compare -78 and -26
  No swap needed

Pass 6:
  Compare -84 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -78, -26, -23, -21, 5, 70]
</think>

<response>-84, -78, -26, -23, -21, 5, 70</response>


input: Arrange the numbers -14, -41, -22, 22, -39, 55 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-14, -41, -22, 22, -39, 55]

Pass 1:
  Compare -14 and -41
  Swap -14 and -41
  List after swap: [-41, -14, -22, 22, -39, 55]
  Compare -14 and -22
  Swap -14 and -22
  List after swap: [-41, -22, -14, 22, -39, 55]
  Compare -14 and 22
  No swap needed
  Compare 22 and -39
  Swap 22 and -39
  List after swap: [-41, -22, -14, -39, 22, 55]
  Compare 22 and 55
  No swap needed

Pass 2:
  Compare -41 and -22
  No swap needed
  Compare -22 and -14
  No swap needed
  Compare -14 and -39
  Swap -14 and -39
  List after swap: [-41, -22, -39, -14, 22, 55]
  Compare -14 and 22
  No swap needed

Pass 3:
  Compare -41 and -22
  No swap needed
  Compare -22 and -39
  Swap -22 and -39
  List after swap: [-41, -39, -22, -14, 22, 55]
  Compare -22 and -14
  No swap needed

Pass 4:
  Compare -41 and -39
  No swap needed
  Compare -39 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -39, -22, -14, 22, 55]
</think>

<response>-41, -39, -22, -14, 22, 55</response>


input: Using the bubble sort method, sort -77, 65, -47, -26, -69, -29, 72, -62, -79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-77, 65, -47, -26, -69, -29, 72, -62, -79]

Pass 1:
  Compare -77 and 65
  No swap needed
  Compare 65 and -47
  Swap 65 and -47
  List after swap: [-77, -47, 65, -26, -69, -29, 72, -62, -79]
  Compare 65 and -26
  Swap 65 and -26
  List after swap: [-77, -47, -26, 65, -69, -29, 72, -62, -79]
  Compare 65 and -69
  Swap 65 and -69
  List after swap: [-77, -47, -26, -69, 65, -29, 72, -62, -79]
  Compare 65 and -29
  Swap 65 and -29
  List after swap: [-77, -47, -26, -69, -29, 65, 72, -62, -79]
  Compare 65 and 72
  No swap needed
  Compare 72 and -62
  Swap 72 and -62
  List after swap: [-77, -47, -26, -69, -29, 65, -62, 72, -79]
  Compare 72 and -79
  Swap 72 and -79
  List after swap: [-77, -47, -26, -69, -29, 65, -62, -79, 72]

Pass 2:
  Compare -77 and -47
  No swap needed
  Compare -47 and -26
  No swap needed
  Compare -26 and -69
  Swap -26 and -69
  List after swap: [-77, -47, -69, -26, -29, 65, -62, -79, 72]
  Compare -26 and -29
  Swap -26 and -29
  List after swap: [-77, -47, -69, -29, -26, 65, -62, -79, 72]
  Compare -26 and 65
  No swap needed
  Compare 65 and -62
  Swap 65 and -62
  List after swap: [-77, -47, -69, -29, -26, -62, 65, -79, 72]
  Compare 65 and -79
  Swap 65 and -79
  List after swap: [-77, -47, -69, -29, -26, -62, -79, 65, 72]

Pass 3:
  Compare -77 and -47
  No swap needed
  Compare -47 and -69
  Swap -47 and -69
  List after swap: [-77, -69, -47, -29, -26, -62, -79, 65, 72]
  Compare -47 and -29
  No swap needed
  Compare -29 and -26
  No swap needed
  Compare -26 and -62
  Swap -26 and -62
  List after swap: [-77, -69, -47, -29, -62, -26, -79, 65, 72]
  Compare -26 and -79
  Swap -26 and -79
  List after swap: [-77, -69, -47, -29, -62, -79, -26, 65, 72]

Pass 4:
  Compare -77 and -69
  No swap needed
  Compare -69 and -47
  No swap needed
  Compare -47 and -29
  No swap needed
  Compare -29 and -62
  Swap -29 and -62
  List after swap: [-77, -69, -47, -62, -29, -79, -26, 65, 72]
  Compare -29 and -79
  Swap -29 and -79
  List after swap: [-77, -69, -47, -62, -79, -29, -26, 65, 72]

Pass 5:
  Compare -77 and -69
  No swap needed
  Compare -69 and -47
  No swap needed
  Compare -47 and -62
  Swap -47 and -62
  List after swap: [-77, -69, -62, -47, -79, -29, -26, 65, 72]
  Compare -47 and -79
  Swap -47 and -79
  List after swap: [-77, -69, -62, -79, -47, -29, -26, 65, 72]

Pass 6:
  Compare -77 and -69
  No swap needed
  Compare -69 and -62
  No swap needed
  Compare -62 and -79
  Swap -62 and -79
  List after swap: [-77, -69, -79, -62, -47, -29, -26, 65, 72]

Pass 7:
  Compare -77 and -69
  No swap needed
  Compare -69 and -79
  Swap -69 and -79
  List after swap: [-77, -79, -69, -62, -47, -29, -26, 65, 72]

Pass 8:
  Compare -77 and -79
  Swap -77 and -79
  List after swap: [-79, -77, -69, -62, -47, -29, -26, 65, 72]

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

Final sorted list: [-79, -77, -69, -62, -47, -29, -26, 65, 72]
</think>

<response>-79, -77, -69, -62, -47, -29, -26, 65, 72</response>


input: Arrange the numbers -29, -38, 69, -94, 67 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-29, -38, 69, -94, 67]

Pass 1:
  Compare -29 and -38
  Swap -29 and -38
  List after swap: [-38, -29, 69, -94, 67]
  Compare -29 and 69
  No swap needed
  Compare 69 and -94
  Swap 69 and -94
  List after swap: [-38, -29, -94, 69, 67]
  Compare 69 and 67
  Swap 69 and 67
  List after swap: [-38, -29, -94, 67, 69]

Pass 2:
  Compare -38 and -29
  No swap needed
  Compare -29 and -94
  Swap -29 and -94
  List after swap: [-38, -94, -29, 67, 69]
  Compare -29 and 67
  No swap needed

Pass 3:
  Compare -38 and -94
  Swap -38 and -94
  List after swap: [-94, -38, -29, 67, 69]
  Compare -38 and -29
  No swap needed

Pass 4:
  Compare -94 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -38, -29, 67, 69]
</think>

<response>-94, -38, -29, 67, 69</response>


input: Implement bubble sort on -55, 90, 32, -72, 21, 2, 47 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-55, 90, 32, -72, 21, 2, 47]

Pass 1:
  Compare -55 and 90
  No swap needed
  Compare 90 and 32
  Swap 90 and 32
  List after swap: [-55, 32, 90, -72, 21, 2, 47]
  Compare 90 and -72
  Swap 90 and -72
  List after swap: [-55, 32, -72, 90, 21, 2, 47]
  Compare 90 and 21
  Swap 90 and 21
  List after swap: [-55, 32, -72, 21, 90, 2, 47]
  Compare 90 and 2
  Swap 90 and 2
  List after swap: [-55, 32, -72, 21, 2, 90, 47]
  Compare 90 and 47
  Swap 90 and 47
  List after swap: [-55, 32, -72, 21, 2, 47, 90]

Pass 2:
  Compare -55 and 32
  No swap needed
  Compare 32 and -72
  Swap 32 and -72
  List after swap: [-55, -72, 32, 21, 2, 47, 90]
  Compare 32 and 21
  Swap 32 and 21
  List after swap: [-55, -72, 21, 32, 2, 47, 90]
  Compare 32 and 2
  Swap 32 and 2
  List after swap: [-55, -72, 21, 2, 32, 47, 90]
  Compare 32 and 47
  No swap needed

Pass 3:
  Compare -55 and -72
  Swap -55 and -72
  List after swap: [-72, -55, 21, 2, 32, 47, 90]
  Compare -55 and 21
  No swap needed
  Compare 21 and 2
  Swap 21 and 2
  List after swap: [-72, -55, 2, 21, 32, 47, 90]
  Compare 21 and 32
  No swap needed

Pass 4:
  Compare -72 and -55
  No swap needed
  Compare -55 and 2
  No swap needed
  Compare 2 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -55, 2, 21, 32, 47, 90]
</think>

<response>-72, -55, 2, 21, 32, 47, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -57, 73, -21, 28, 14, 32, 23, -47.

output:
<think>
Initial list: [-57, 73, -21, 28, 14, 32, 23, -47]

Pass 1:
  Compare -57 and 73
  No swap needed
  Compare 73 and -21
  Swap 73 and -21
  List after swap: [-57, -21, 73, 28, 14, 32, 23, -47]
  Compare 73 and 28
  Swap 73 and 28
  List after swap: [-57, -21, 28, 73, 14, 32, 23, -47]
  Compare 73 and 14
  Swap 73 and 14
  List after swap: [-57, -21, 28, 14, 73, 32, 23, -47]
  Compare 73 and 32
  Swap 73 and 32
  List after swap: [-57, -21, 28, 14, 32, 73, 23, -47]
  Compare 73 and 23
  Swap 73 and 23
  List after swap: [-57, -21, 28, 14, 32, 23, 73, -47]
  Compare 73 and -47
  Swap 73 and -47
  List after swap: [-57, -21, 28, 14, 32, 23, -47, 73]

Pass 2:
  Compare -57 and -21
  No swap needed
  Compare -21 and 28
  No swap needed
  Compare 28 and 14
  Swap 28 and 14
  List after swap: [-57, -21, 14, 28, 32, 23, -47, 73]
  Compare 28 and 32
  No swap needed
  Compare 32 and 23
  Swap 32 and 23
  List after swap: [-57, -21, 14, 28, 23, 32, -47, 73]
  Compare 32 and -47
  Swap 32 and -47
  List after swap: [-57, -21, 14, 28, 23, -47, 32, 73]

Pass 3:
  Compare -57 and -21
  No swap needed
  Compare -21 and 14
  No swap needed
  Compare 14 and 28
  No swap needed
  Compare 28 and 23
  Swap 28 and 23
  List after swap: [-57, -21, 14, 23, 28, -47, 32, 73]
  Compare 28 and -47
  Swap 28 and -47
  List after swap: [-57, -21, 14, 23, -47, 28, 32, 73]

Pass 4:
  Compare -57 and -21
  No swap needed
  Compare -21 and 14
  No swap needed
  Compare 14 and 23
  No swap needed
  Compare 23 and -47
  Swap 23 and -47
  List after swap: [-57, -21, 14, -47, 23, 28, 32, 73]

Pass 5:
  Compare -57 and -21
  No swap needed
  Compare -21 and 14
  No swap needed
  Compare 14 and -47
  Swap 14 and -47
  List after swap: [-57, -21, -47, 14, 23, 28, 32, 73]

Pass 6:
  Compare -57 and -21
  No swap needed
  Compare -21 and -47
  Swap -21 and -47
  List after swap: [-57, -47, -21, 14, 23, 28, 32, 73]

Pass 7:
  Compare -57 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -47, -21, 14, 23, 28, 32, 73]
</think>

<response>-57, -47, -21, 14, 23, 28, 32, 73</response>


input: Arrange the numbers -26, 50, 45, 56, -19, 42, -82, 88, -15 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-26, 50, 45, 56, -19, 42, -82, 88, -15]

Pass 1:
  Compare -26 and 50
  No swap needed
  Compare 50 and 45
  Swap 50 and 45
  List after swap: [-26, 45, 50, 56, -19, 42, -82, 88, -15]
  Compare 50 and 56
  No swap needed
  Compare 56 and -19
  Swap 56 and -19
  List after swap: [-26, 45, 50, -19, 56, 42, -82, 88, -15]
  Compare 56 and 42
  Swap 56 and 42
  List after swap: [-26, 45, 50, -19, 42, 56, -82, 88, -15]
  Compare 56 and -82
  Swap 56 and -82
  List after swap: [-26, 45, 50, -19, 42, -82, 56, 88, -15]
  Compare 56 and 88
  No swap needed
  Compare 88 and -15
  Swap 88 and -15
  List after swap: [-26, 45, 50, -19, 42, -82, 56, -15, 88]

Pass 2:
  Compare -26 and 45
  No swap needed
  Compare 45 and 50
  No swap needed
  Compare 50 and -19
  Swap 50 and -19
  List after swap: [-26, 45, -19, 50, 42, -82, 56, -15, 88]
  Compare 50 and 42
  Swap 50 and 42
  List after swap: [-26, 45, -19, 42, 50, -82, 56, -15, 88]
  Compare 50 and -82
  Swap 50 and -82
  List after swap: [-26, 45, -19, 42, -82, 50, 56, -15, 88]
  Compare 50 and 56
  No swap needed
  Compare 56 and -15
  Swap 56 and -15
  List after swap: [-26, 45, -19, 42, -82, 50, -15, 56, 88]

Pass 3:
  Compare -26 and 45
  No swap needed
  Compare 45 and -19
  Swap 45 and -19
  List after swap: [-26, -19, 45, 42, -82, 50, -15, 56, 88]
  Compare 45 and 42
  Swap 45 and 42
  List after swap: [-26, -19, 42, 45, -82, 50, -15, 56, 88]
  Compare 45 and -82
  Swap 45 and -82
  List after swap: [-26, -19, 42, -82, 45, 50, -15, 56, 88]
  Compare 45 and 50
  No swap needed
  Compare 50 and -15
  Swap 50 and -15
  List after swap: [-26, -19, 42, -82, 45, -15, 50, 56, 88]

Pass 4:
  Compare -26 and -19
  No swap needed
  Compare -19 and 42
  No swap needed
  Compare 42 and -82
  Swap 42 and -82
  List after swap: [-26, -19, -82, 42, 45, -15, 50, 56, 88]
  Compare 42 and 45
  No swap needed
  Compare 45 and -15
  Swap 45 and -15
  List after swap: [-26, -19, -82, 42, -15, 45, 50, 56, 88]

Pass 5:
  Compare -26 and -19
  No swap needed
  Compare -19 and -82
  Swap -19 and -82
  List after swap: [-26, -82, -19, 42, -15, 45, 50, 56, 88]
  Compare -19 and 42
  No swap needed
  Compare 42 and -15
  Swap 42 and -15
  List after swap: [-26, -82, -19, -15, 42, 45, 50, 56, 88]

Pass 6:
  Compare -26 and -82
  Swap -26 and -82
  List after swap: [-82, -26, -19, -15, 42, 45, 50, 56, 88]
  Compare -26 and -19
  No swap needed
  Compare -19 and -15
  No swap needed

Pass 7:
  Compare -82 and -26
  No swap needed
  Compare -26 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -26, -19, -15, 42, 45, 50, 56, 88]
</think>

<response>-82, -26, -19, -15, 42, 45, 50, 56, 88</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 9, -93, 46, -1, -42, 92, 12, 68, 4.

output:
<think>
Initial list: [9, -93, 46, -1, -42, 92, 12, 68, 4]

Pass 1:
  Compare 9 and -93
  Swap 9 and -93
  List after swap: [-93, 9, 46, -1, -42, 92, 12, 68, 4]
  Compare 9 and 46
  No swap needed
  Compare 46 and -1
  Swap 46 and -1
  List after swap: [-93, 9, -1, 46, -42, 92, 12, 68, 4]
  Compare 46 and -42
  Swap 46 and -42
  List after swap: [-93, 9, -1, -42, 46, 92, 12, 68, 4]
  Compare 46 and 92
  No swap needed
  Compare 92 and 12
  Swap 92 and 12
  List after swap: [-93, 9, -1, -42, 46, 12, 92, 68, 4]
  Compare 92 and 68
  Swap 92 and 68
  List after swap: [-93, 9, -1, -42, 46, 12, 68, 92, 4]
  Compare 92 and 4
  Swap 92 and 4
  List after swap: [-93, 9, -1, -42, 46, 12, 68, 4, 92]

Pass 2:
  Compare -93 and 9
  No swap needed
  Compare 9 and -1
  Swap 9 and -1
  List after swap: [-93, -1, 9, -42, 46, 12, 68, 4, 92]
  Compare 9 and -42
  Swap 9 and -42
  List after swap: [-93, -1, -42, 9, 46, 12, 68, 4, 92]
  Compare 9 and 46
  No swap needed
  Compare 46 and 12
  Swap 46 and 12
  List after swap: [-93, -1, -42, 9, 12, 46, 68, 4, 92]
  Compare 46 and 68
  No swap needed
  Compare 68 and 4
  Swap 68 and 4
  List after swap: [-93, -1, -42, 9, 12, 46, 4, 68, 92]

Pass 3:
  Compare -93 and -1
  No swap needed
  Compare -1 and -42
  Swap -1 and -42
  List after swap: [-93, -42, -1, 9, 12, 46, 4, 68, 92]
  Compare -1 and 9
  No swap needed
  Compare 9 and 12
  No swap needed
  Compare 12 and 46
  No swap needed
  Compare 46 and 4
  Swap 46 and 4
  List after swap: [-93, -42, -1, 9, 12, 4, 46, 68, 92]

Pass 4:
  Compare -93 and -42
  No swap needed
  Compare -42 and -1
  No swap needed
  Compare -1 and 9
  No swap needed
  Compare 9 and 12
  No swap needed
  Compare 12 and 4
  Swap 12 and 4
  List after swap: [-93, -42, -1, 9, 4, 12, 46, 68, 92]

Pass 5:
  Compare -93 and -42
  No swap needed
  Compare -42 and -1
  No swap needed
  Compare -1 and 9
  No swap needed
  Compare 9 and 4
  Swap 9 and 4
  List after swap: [-93, -42, -1, 4, 9, 12, 46, 68, 92]

Pass 6:
  Compare -93 and -42
  No swap needed
  Compare -42 and -1
  No swap needed
  Compare -1 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -42, -1, 4, 9, 12, 46, 68, 92]
</think>

<response>-93, -42, -1, 4, 9, 12, 46, 68, 92</response>


input: Demonstrate how bubble sort orders the integers 97, -41, -3 in ascending sequence, showing all steps.

output:
<think>
Initial list: [97, -41, -3]

Pass 1:
  Compare 97 and -41
  Swap 97 and -41
  List after swap: [-41, 97, -3]
  Compare 97 and -3
  Swap 97 and -3
  List after swap: [-41, -3, 97]

Pass 2:
  Compare -41 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -3, 97]
</think>

<response>-41, -3, 97</response>


input: Carry out the bubble sort algorithm on -62, 32 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-62, 32]

Pass 1:
  Compare -62 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, 32]
</think>

<response>-62, 32</response>


input: Sort the list -66, -1 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-66, -1]

Pass 1:
  Compare -66 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -1]
</think>

<response>-66, -1</response>


input: Execute bubble sort to sort 82, -30 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [82, -30]

Pass 1:
  Compare 82 and -30
  Swap 82 and -30
  List after swap: [-30, 82]

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

Final sorted list: [-30, 82]
</think>

<response>-30, 82</response>


input: Execute bubble sort to sort -20, -92, -67, -98 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-20, -92, -67, -98]

Pass 1:
  Compare -20 and -92
  Swap -20 and -92
  List after swap: [-92, -20, -67, -98]
  Compare -20 and -67
  Swap -20 and -67
  List after swap: [-92, -67, -20, -98]
  Compare -20 and -98
  Swap -20 and -98
  List after swap: [-92, -67, -98, -20]

Pass 2:
  Compare -92 and -67
  No swap needed
  Compare -67 and -98
  Swap -67 and -98
  List after swap: [-92, -98, -67, -20]

Pass 3:
  Compare -92 and -98
  Swap -92 and -98
  List after swap: [-98, -92, -67, -20]

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

Final sorted list: [-98, -92, -67, -20]
</think>

<response>-98, -92, -67, -20</response>


input: Execute bubble sort to sort -71, -76, 38, 77, 12, -59, 72, 28, -39 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-71, -76, 38, 77, 12, -59, 72, 28, -39]

Pass 1:
  Compare -71 and -76
  Swap -71 and -76
  List after swap: [-76, -71, 38, 77, 12, -59, 72, 28, -39]
  Compare -71 and 38
  No swap needed
  Compare 38 and 77
  No swap needed
  Compare 77 and 12
  Swap 77 and 12
  List after swap: [-76, -71, 38, 12, 77, -59, 72, 28, -39]
  Compare 77 and -59
  Swap 77 and -59
  List after swap: [-76, -71, 38, 12, -59, 77, 72, 28, -39]
  Compare 77 and 72
  Swap 77 and 72
  List after swap: [-76, -71, 38, 12, -59, 72, 77, 28, -39]
  Compare 77 and 28
  Swap 77 and 28
  List after swap: [-76, -71, 38, 12, -59, 72, 28, 77, -39]
  Compare 77 and -39
  Swap 77 and -39
  List after swap: [-76, -71, 38, 12, -59, 72, 28, -39, 77]

Pass 2:
  Compare -76 and -71
  No swap needed
  Compare -71 and 38
  No swap needed
  Compare 38 and 12
  Swap 38 and 12
  List after swap: [-76, -71, 12, 38, -59, 72, 28, -39, 77]
  Compare 38 and -59
  Swap 38 and -59
  List after swap: [-76, -71, 12, -59, 38, 72, 28, -39, 77]
  Compare 38 and 72
  No swap needed
  Compare 72 and 28
  Swap 72 and 28
  List after swap: [-76, -71, 12, -59, 38, 28, 72, -39, 77]
  Compare 72 and -39
  Swap 72 and -39
  List after swap: [-76, -71, 12, -59, 38, 28, -39, 72, 77]

Pass 3:
  Compare -76 and -71
  No swap needed
  Compare -71 and 12
  No swap needed
  Compare 12 and -59
  Swap 12 and -59
  List after swap: [-76, -71, -59, 12, 38, 28, -39, 72, 77]
  Compare 12 and 38
  No swap needed
  Compare 38 and 28
  Swap 38 and 28
  List after swap: [-76, -71, -59, 12, 28, 38, -39, 72, 77]
  Compare 38 and -39
  Swap 38 and -39
  List after swap: [-76, -71, -59, 12, 28, -39, 38, 72, 77]

Pass 4:
  Compare -76 and -71
  No swap needed
  Compare -71 and -59
  No swap needed
  Compare -59 and 12
  No swap needed
  Compare 12 and 28
  No swap needed
  Compare 28 and -39
  Swap 28 and -39
  List after swap: [-76, -71, -59, 12, -39, 28, 38, 72, 77]

Pass 5:
  Compare -76 and -71
  No swap needed
  Compare -71 and -59
  No swap needed
  Compare -59 and 12
  No swap needed
  Compare 12 and -39
  Swap 12 and -39
  List after swap: [-76, -71, -59, -39, 12, 28, 38, 72, 77]

Pass 6:
  Compare -76 and -71
  No swap needed
  Compare -71 and -59
  No swap needed
  Compare -59 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -71, -59, -39, 12, 28, 38, 72, 77]
</think>

<response>-76, -71, -59, -39, 12, 28, 38, 72, 77</response>


input: Execute bubble sort to sort -92, -1, 99, -73 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-92, -1, 99, -73]

Pass 1:
  Compare -92 and -1
  No swap needed
  Compare -1 and 99
  No swap needed
  Compare 99 and -73
  Swap 99 and -73
  List after swap: [-92, -1, -73, 99]

Pass 2:
  Compare -92 and -1
  No swap needed
  Compare -1 and -73
  Swap -1 and -73
  List after swap: [-92, -73, -1, 99]

Pass 3:
  Compare -92 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -73, -1, 99]
</think>

<response>-92, -73, -1, 99</response>


input: Use the bubble sort technique to reorder -64, 2, -70, -29, 73 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-64, 2, -70, -29, 73]

Pass 1:
  Compare -64 and 2
  No swap needed
  Compare 2 and -70
  Swap 2 and -70
  List after swap: [-64, -70, 2, -29, 73]
  Compare 2 and -29
  Swap 2 and -29
  List after swap: [-64, -70, -29, 2, 73]
  Compare 2 and 73
  No swap needed

Pass 2:
  Compare -64 and -70
  Swap -64 and -70
  List after swap: [-70, -64, -29, 2, 73]
  Compare -64 and -29
  No swap needed
  Compare -29 and 2
  No swap needed

Pass 3:
  Compare -70 and -64
  No swap needed
  Compare -64 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -64, -29, 2, 73]
</think>

<response>-70, -64, -29, 2, 73</response>


input: Arrange the numbers -90, 83, 54, 51, -13, 98 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-90, 83, 54, 51, -13, 98]

Pass 1:
  Compare -90 and 83
  No swap needed
  Compare 83 and 54
  Swap 83 and 54
  List after swap: [-90, 54, 83, 51, -13, 98]
  Compare 83 and 51
  Swap 83 and 51
  List after swap: [-90, 54, 51, 83, -13, 98]
  Compare 83 and -13
  Swap 83 and -13
  List after swap: [-90, 54, 51, -13, 83, 98]
  Compare 83 and 98
  No swap needed

Pass 2:
  Compare -90 and 54
  No swap needed
  Compare 54 and 51
  Swap 54 and 51
  List after swap: [-90, 51, 54, -13, 83, 98]
  Compare 54 and -13
  Swap 54 and -13
  List after swap: [-90, 51, -13, 54, 83, 98]
  Compare 54 and 83
  No swap needed

Pass 3:
  Compare -90 and 51
  No swap needed
  Compare 51 and -13
  Swap 51 and -13
  List after swap: [-90, -13, 51, 54, 83, 98]
  Compare 51 and 54
  No swap needed

Pass 4:
  Compare -90 and -13
  No swap needed
  Compare -13 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -13, 51, 54, 83, 98]
</think>

<response>-90, -13, 51, 54, 83, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -22, -49, 86, -84.

output:
<think>
Initial list: [-22, -49, 86, -84]

Pass 1:
  Compare -22 and -49
  Swap -22 and -49
  List after swap: [-49, -22, 86, -84]
  Compare -22 and 86
  No swap needed
  Compare 86 and -84
  Swap 86 and -84
  List after swap: [-49, -22, -84, 86]

Pass 2:
  Compare -49 and -22
  No swap needed
  Compare -22 and -84
  Swap -22 and -84
  List after swap: [-49, -84, -22, 86]

Pass 3:
  Compare -49 and -84
  Swap -49 and -84
  List after swap: [-84, -49, -22, 86]

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

Final sorted list: [-84, -49, -22, 86]
</think>

<response>-84, -49, -22, 86</response>


input: Use the bubble sort technique to reorder 21, -46, 28, 23, -2, -91 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [21, -46, 28, 23, -2, -91]

Pass 1:
  Compare 21 and -46
  Swap 21 and -46
  List after swap: [-46, 21, 28, 23, -2, -91]
  Compare 21 and 28
  No swap needed
  Compare 28 and 23
  Swap 28 and 23
  List after swap: [-46, 21, 23, 28, -2, -91]
  Compare 28 and -2
  Swap 28 and -2
  List after swap: [-46, 21, 23, -2, 28, -91]
  Compare 28 and -91
  Swap 28 and -91
  List after swap: [-46, 21, 23, -2, -91, 28]

Pass 2:
  Compare -46 and 21
  No swap needed
  Compare 21 and 23
  No swap needed
  Compare 23 and -2
  Swap 23 and -2
  List after swap: [-46, 21, -2, 23, -91, 28]
  Compare 23 and -91
  Swap 23 and -91
  List after swap: [-46, 21, -2, -91, 23, 28]

Pass 3:
  Compare -46 and 21
  No swap needed
  Compare 21 and -2
  Swap 21 and -2
  List after swap: [-46, -2, 21, -91, 23, 28]
  Compare 21 and -91
  Swap 21 and -91
  List after swap: [-46, -2, -91, 21, 23, 28]

Pass 4:
  Compare -46 and -2
  No swap needed
  Compare -2 and -91
  Swap -2 and -91
  List after swap: [-46, -91, -2, 21, 23, 28]

Pass 5:
  Compare -46 and -91
  Swap -46 and -91
  List after swap: [-91, -46, -2, 21, 23, 28]

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

Final sorted list: [-91, -46, -2, 21, 23, 28]
</think>

<response>-91, -46, -2, 21, 23, 28</response>


input: Carry out the bubble sort algorithm on 15, 14, 92, 38, -35, 81, -44, 36 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [15, 14, 92, 38, -35, 81, -44, 36]

Pass 1:
  Compare 15 and 14
  Swap 15 and 14
  List after swap: [14, 15, 92, 38, -35, 81, -44, 36]
  Compare 15 and 92
  No swap needed
  Compare 92 and 38
  Swap 92 and 38
  List after swap: [14, 15, 38, 92, -35, 81, -44, 36]
  Compare 92 and -35
  Swap 92 and -35
  List after swap: [14, 15, 38, -35, 92, 81, -44, 36]
  Compare 92 and 81
  Swap 92 and 81
  List after swap: [14, 15, 38, -35, 81, 92, -44, 36]
  Compare 92 and -44
  Swap 92 and -44
  List after swap: [14, 15, 38, -35, 81, -44, 92, 36]
  Compare 92 and 36
  Swap 92 and 36
  List after swap: [14, 15, 38, -35, 81, -44, 36, 92]

Pass 2:
  Compare 14 and 15
  No swap needed
  Compare 15 and 38
  No swap needed
  Compare 38 and -35
  Swap 38 and -35
  List after swap: [14, 15, -35, 38, 81, -44, 36, 92]
  Compare 38 and 81
  No swap needed
  Compare 81 and -44
  Swap 81 and -44
  List after swap: [14, 15, -35, 38, -44, 81, 36, 92]
  Compare 81 and 36
  Swap 81 and 36
  List after swap: [14, 15, -35, 38, -44, 36, 81, 92]

Pass 3:
  Compare 14 and 15
  No swap needed
  Compare 15 and -35
  Swap 15 and -35
  List after swap: [14, -35, 15, 38, -44, 36, 81, 92]
  Compare 15 and 38
  No swap needed
  Compare 38 and -44
  Swap 38 and -44
  List after swap: [14, -35, 15, -44, 38, 36, 81, 92]
  Compare 38 and 36
  Swap 38 and 36
  List after swap: [14, -35, 15, -44, 36, 38, 81, 92]

Pass 4:
  Compare 14 and -35
  Swap 14 and -35
  List after swap: [-35, 14, 15, -44, 36, 38, 81, 92]
  Compare 14 and 15
  No swap needed
  Compare 15 and -44
  Swap 15 and -44
  List after swap: [-35, 14, -44, 15, 36, 38, 81, 92]
  Compare 15 and 36
  No swap needed

Pass 5:
  Compare -35 and 14
  No swap needed
  Compare 14 and -44
  Swap 14 and -44
  List after swap: [-35, -44, 14, 15, 36, 38, 81, 92]
  Compare 14 and 15
  No swap needed

Pass 6:
  Compare -35 and -44
  Swap -35 and -44
  List after swap: [-44, -35, 14, 15, 36, 38, 81, 92]
  Compare -35 and 14
  No swap needed

Pass 7:
  Compare -44 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, -35, 14, 15, 36, 38, 81, 92]
</think>

<response>-44, -35, 14, 15, 36, 38, 81, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -64, -36, -88, 10, -20, 57, -26, -60, 98, -51.

output:
<think>
Initial list: [-64, -36, -88, 10, -20, 57, -26, -60, 98, -51]

Pass 1:
  Compare -64 and -36
  No swap needed
  Compare -36 and -88
  Swap -36 and -88
  List after swap: [-64, -88, -36, 10, -20, 57, -26, -60, 98, -51]
  Compare -36 and 10
  No swap needed
  Compare 10 and -20
  Swap 10 and -20
  List after swap: [-64, -88, -36, -20, 10, 57, -26, -60, 98, -51]
  Compare 10 and 57
  No swap needed
  Compare 57 and -26
  Swap 57 and -26
  List after swap: [-64, -88, -36, -20, 10, -26, 57, -60, 98, -51]
  Compare 57 and -60
  Swap 57 and -60
  List after swap: [-64, -88, -36, -20, 10, -26, -60, 57, 98, -51]
  Compare 57 and 98
  No swap needed
  Compare 98 and -51
  Swap 98 and -51
  List after swap: [-64, -88, -36, -20, 10, -26, -60, 57, -51, 98]

Pass 2:
  Compare -64 and -88
  Swap -64 and -88
  List after swap: [-88, -64, -36, -20, 10, -26, -60, 57, -51, 98]
  Compare -64 and -36
  No swap needed
  Compare -36 and -20
  No swap needed
  Compare -20 and 10
  No swap needed
  Compare 10 and -26
  Swap 10 and -26
  List after swap: [-88, -64, -36, -20, -26, 10, -60, 57, -51, 98]
  Compare 10 and -60
  Swap 10 and -60
  List after swap: [-88, -64, -36, -20, -26, -60, 10, 57, -51, 98]
  Compare 10 and 57
  No swap needed
  Compare 57 and -51
  Swap 57 and -51
  List after swap: [-88, -64, -36, -20, -26, -60, 10, -51, 57, 98]

Pass 3:
  Compare -88 and -64
  No swap needed
  Compare -64 and -36
  No swap needed
  Compare -36 and -20
  No swap needed
  Compare -20 and -26
  Swap -20 and -26
  List after swap: [-88, -64, -36, -26, -20, -60, 10, -51, 57, 98]
  Compare -20 and -60
  Swap -20 and -60
  List after swap: [-88, -64, -36, -26, -60, -20, 10, -51, 57, 98]
  Compare -20 and 10
  No swap needed
  Compare 10 and -51
  Swap 10 and -51
  List after swap: [-88, -64, -36, -26, -60, -20, -51, 10, 57, 98]

Pass 4:
  Compare -88 and -64
  No swap needed
  Compare -64 and -36
  No swap needed
  Compare -36 and -26
  No swap needed
  Compare -26 and -60
  Swap -26 and -60
  List after swap: [-88, -64, -36, -60, -26, -20, -51, 10, 57, 98]
  Compare -26 and -20
  No swap needed
  Compare -20 and -51
  Swap -20 and -51
  List after swap: [-88, -64, -36, -60, -26, -51, -20, 10, 57, 98]

Pass 5:
  Compare -88 and -64
  No swap needed
  Compare -64 and -36
  No swap needed
  Compare -36 and -60
  Swap -36 and -60
  List after swap: [-88, -64, -60, -36, -26, -51, -20, 10, 57, 98]
  Compare -36 and -26
  No swap needed
  Compare -26 and -51
  Swap -26 and -51
  List after swap: [-88, -64, -60, -36, -51, -26, -20, 10, 57, 98]

Pass 6:
  Compare -88 and -64
  No swap needed
  Compare -64 and -60
  No swap needed
  Compare -60 and -36
  No swap needed
  Compare -36 and -51
  Swap -36 and -51
  List after swap: [-88, -64, -60, -51, -36, -26, -20, 10, 57, 98]

Pass 7:
  Compare -88 and -64
  No swap needed
  Compare -64 and -60
  No swap needed
  Compare -60 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -64, -60, -51, -36, -26, -20, 10, 57, 98]
</think>

<response>-88, -64, -60, -51, -36, -26, -20, 10, 57, 98</response>


input: Sort the list -88, -17, 91, -5, -73 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-88, -17, 91, -5, -73]

Pass 1:
  Compare -88 and -17
  No swap needed
  Compare -17 and 91
  No swap needed
  Compare 91 and -5
  Swap 91 and -5
  List after swap: [-88, -17, -5, 91, -73]
  Compare 91 and -73
  Swap 91 and -73
  List after swap: [-88, -17, -5, -73, 91]

Pass 2:
  Compare -88 and -17
  No swap needed
  Compare -17 and -5
  No swap needed
  Compare -5 and -73
  Swap -5 and -73
  List after swap: [-88, -17, -73, -5, 91]

Pass 3:
  Compare -88 and -17
  No swap needed
  Compare -17 and -73
  Swap -17 and -73
  List after swap: [-88, -73, -17, -5, 91]

Pass 4:
  Compare -88 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -73, -17, -5, 91]
</think>

<response>-88, -73, -17, -5, 91</response>


input: Carry out the bubble sort algorithm on -75, 23 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-75, 23]

Pass 1:
  Compare -75 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, 23]
</think>

<response>-75, 23</response>


input: Implement bubble sort on -18, -98, 73, 83, -16, 6, 28, 45 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-18, -98, 73, 83, -16, 6, 28, 45]

Pass 1:
  Compare -18 and -98
  Swap -18 and -98
  List after swap: [-98, -18, 73, 83, -16, 6, 28, 45]
  Compare -18 and 73
  No swap needed
  Compare 73 and 83
  No swap needed
  Compare 83 and -16
  Swap 83 and -16
  List after swap: [-98, -18, 73, -16, 83, 6, 28, 45]
  Compare 83 and 6
  Swap 83 and 6
  List after swap: [-98, -18, 73, -16, 6, 83, 28, 45]
  Compare 83 and 28
  Swap 83 and 28
  List after swap: [-98, -18, 73, -16, 6, 28, 83, 45]
  Compare 83 and 45
  Swap 83 and 45
  List after swap: [-98, -18, 73, -16, 6, 28, 45, 83]

Pass 2:
  Compare -98 and -18
  No swap needed
  Compare -18 and 73
  No swap needed
  Compare 73 and -16
  Swap 73 and -16
  List after swap: [-98, -18, -16, 73, 6, 28, 45, 83]
  Compare 73 and 6
  Swap 73 and 6
  List after swap: [-98, -18, -16, 6, 73, 28, 45, 83]
  Compare 73 and 28
  Swap 73 and 28
  List after swap: [-98, -18, -16, 6, 28, 73, 45, 83]
  Compare 73 and 45
  Swap 73 and 45
  List after swap: [-98, -18, -16, 6, 28, 45, 73, 83]

Pass 3:
  Compare -98 and -18
  No swap needed
  Compare -18 and -16
  No swap needed
  Compare -16 and 6
  No swap needed
  Compare 6 and 28
  No swap needed
  Compare 28 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -18, -16, 6, 28, 45, 73, 83]
</think>

<response>-98, -18, -16, 6, 28, 45, 73, 83</response>


input: Sort these integers 23, -49, 92, -93, -47, 31, 29, -62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [23, -49, 92, -93, -47, 31, 29, -62]

Pass 1:
  Compare 23 and -49
  Swap 23 and -49
  List after swap: [-49, 23, 92, -93, -47, 31, 29, -62]
  Compare 23 and 92
  No swap needed
  Compare 92 and -93
  Swap 92 and -93
  List after swap: [-49, 23, -93, 92, -47, 31, 29, -62]
  Compare 92 and -47
  Swap 92 and -47
  List after swap: [-49, 23, -93, -47, 92, 31, 29, -62]
  Compare 92 and 31
  Swap 92 and 31
  List after swap: [-49, 23, -93, -47, 31, 92, 29, -62]
  Compare 92 and 29
  Swap 92 and 29
  List after swap: [-49, 23, -93, -47, 31, 29, 92, -62]
  Compare 92 and -62
  Swap 92 and -62
  List after swap: [-49, 23, -93, -47, 31, 29, -62, 92]

Pass 2:
  Compare -49 and 23
  No swap needed
  Compare 23 and -93
  Swap 23 and -93
  List after swap: [-49, -93, 23, -47, 31, 29, -62, 92]
  Compare 23 and -47
  Swap 23 and -47
  List after swap: [-49, -93, -47, 23, 31, 29, -62, 92]
  Compare 23 and 31
  No swap needed
  Compare 31 and 29
  Swap 31 and 29
  List after swap: [-49, -93, -47, 23, 29, 31, -62, 92]
  Compare 31 and -62
  Swap 31 and -62
  List after swap: [-49, -93, -47, 23, 29, -62, 31, 92]

Pass 3:
  Compare -49 and -93
  Swap -49 and -93
  List after swap: [-93, -49, -47, 23, 29, -62, 31, 92]
  Compare -49 and -47
  No swap needed
  Compare -47 and 23
  No swap needed
  Compare 23 and 29
  No swap needed
  Compare 29 and -62
  Swap 29 and -62
  List after swap: [-93, -49, -47, 23, -62, 29, 31, 92]

Pass 4:
  Compare -93 and -49
  No swap needed
  Compare -49 and -47
  No swap needed
  Compare -47 and 23
  No swap needed
  Compare 23 and -62
  Swap 23 and -62
  List after swap: [-93, -49, -47, -62, 23, 29, 31, 92]

Pass 5:
  Compare -93 and -49
  No swap needed
  Compare -49 and -47
  No swap needed
  Compare -47 and -62
  Swap -47 and -62
  List after swap: [-93, -49, -62, -47, 23, 29, 31, 92]

Pass 6:
  Compare -93 and -49
  No swap needed
  Compare -49 and -62
  Swap -49 and -62
  List after swap: [-93, -62, -49, -47, 23, 29, 31, 92]

Pass 7:
  Compare -93 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -62, -49, -47, 23, 29, 31, 92]
</think>

<response>-93, -62, -49, -47, 23, 29, 31, 92</response>


input: Arrange the numbers 6, -37, 83, -65, 59, -7 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [6, -37, 83, -65, 59, -7]

Pass 1:
  Compare 6 and -37
  Swap 6 and -37
  List after swap: [-37, 6, 83, -65, 59, -7]
  Compare 6 and 83
  No swap needed
  Compare 83 and -65
  Swap 83 and -65
  List after swap: [-37, 6, -65, 83, 59, -7]
  Compare 83 and 59
  Swap 83 and 59
  List after swap: [-37, 6, -65, 59, 83, -7]
  Compare 83 and -7
  Swap 83 and -7
  List after swap: [-37, 6, -65, 59, -7, 83]

Pass 2:
  Compare -37 and 6
  No swap needed
  Compare 6 and -65
  Swap 6 and -65
  List after swap: [-37, -65, 6, 59, -7, 83]
  Compare 6 and 59
  No swap needed
  Compare 59 and -7
  Swap 59 and -7
  List after swap: [-37, -65, 6, -7, 59, 83]

Pass 3:
  Compare -37 and -65
  Swap -37 and -65
  List after swap: [-65, -37, 6, -7, 59, 83]
  Compare -37 and 6
  No swap needed
  Compare 6 and -7
  Swap 6 and -7
  List after swap: [-65, -37, -7, 6, 59, 83]

Pass 4:
  Compare -65 and -37
  No swap needed
  Compare -37 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -37, -7, 6, 59, 83]
</think>

<response>-65, -37, -7, 6, 59, 83</response>


input: Sort these integers 58, -84, 20, -27, -19, 39 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [58, -84, 20, -27, -19, 39]

Pass 1:
  Compare 58 and -84
  Swap 58 and -84
  List after swap: [-84, 58, 20, -27, -19, 39]
  Compare 58 and 20
  Swap 58 and 20
  List after swap: [-84, 20, 58, -27, -19, 39]
  Compare 58 and -27
  Swap 58 and -27
  List after swap: [-84, 20, -27, 58, -19, 39]
  Compare 58 and -19
  Swap 58 and -19
  List after swap: [-84, 20, -27, -19, 58, 39]
  Compare 58 and 39
  Swap 58 and 39
  List after swap: [-84, 20, -27, -19, 39, 58]

Pass 2:
  Compare -84 and 20
  No swap needed
  Compare 20 and -27
  Swap 20 and -27
  List after swap: [-84, -27, 20, -19, 39, 58]
  Compare 20 and -19
  Swap 20 and -19
  List after swap: [-84, -27, -19, 20, 39, 58]
  Compare 20 and 39
  No swap needed

Pass 3:
  Compare -84 and -27
  No swap needed
  Compare -27 and -19
  No swap needed
  Compare -19 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -27, -19, 20, 39, 58]
</think>

<response>-84, -27, -19, 20, 39, 58</response>


input: Demonstrate how bubble sort orders the integers 7, 64, 4, -13, -100, -16, -24 in ascending sequence, showing all steps.

output:
<think>
Initial list: [7, 64, 4, -13, -100, -16, -24]

Pass 1:
  Compare 7 and 64
  No swap needed
  Compare 64 and 4
  Swap 64 and 4
  List after swap: [7, 4, 64, -13, -100, -16, -24]
  Compare 64 and -13
  Swap 64 and -13
  List after swap: [7, 4, -13, 64, -100, -16, -24]
  Compare 64 and -100
  Swap 64 and -100
  List after swap: [7, 4, -13, -100, 64, -16, -24]
  Compare 64 and -16
  Swap 64 and -16
  List after swap: [7, 4, -13, -100, -16, 64, -24]
  Compare 64 and -24
  Swap 64 and -24
  List after swap: [7, 4, -13, -100, -16, -24, 64]

Pass 2:
  Compare 7 and 4
  Swap 7 and 4
  List after swap: [4, 7, -13, -100, -16, -24, 64]
  Compare 7 and -13
  Swap 7 and -13
  List after swap: [4, -13, 7, -100, -16, -24, 64]
  Compare 7 and -100
  Swap 7 and -100
  List after swap: [4, -13, -100, 7, -16, -24, 64]
  Compare 7 and -16
  Swap 7 and -16
  List after swap: [4, -13, -100, -16, 7, -24, 64]
  Compare 7 and -24
  Swap 7 and -24
  List after swap: [4, -13, -100, -16, -24, 7, 64]

Pass 3:
  Compare 4 and -13
  Swap 4 and -13
  List after swap: [-13, 4, -100, -16, -24, 7, 64]
  Compare 4 and -100
  Swap 4 and -100
  List after swap: [-13, -100, 4, -16, -24, 7, 64]
  Compare 4 and -16
  Swap 4 and -16
  List after swap: [-13, -100, -16, 4, -24, 7, 64]
  Compare 4 and -24
  Swap 4 and -24
  List after swap: [-13, -100, -16, -24, 4, 7, 64]

Pass 4:
  Compare -13 and -100
  Swap -13 and -100
  List after swap: [-100, -13, -16, -24, 4, 7, 64]
  Compare -13 and -16
  Swap -13 and -16
  List after swap: [-100, -16, -13, -24, 4, 7, 64]
  Compare -13 and -24
  Swap -13 and -24
  List after swap: [-100, -16, -24, -13, 4, 7, 64]

Pass 5:
  Compare -100 and -16
  No swap needed
  Compare -16 and -24
  Swap -16 and -24
  List after swap: [-100, -24, -16, -13, 4, 7, 64]

Pass 6:
  Compare -100 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -24, -16, -13, 4, 7, 64]
</think>

<response>-100, -24, -16, -13, 4, 7, 64</response>


input: Using the bubble sort method, sort -22, 96, 62 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-22, 96, 62]

Pass 1:
  Compare -22 and 96
  No swap needed
  Compare 96 and 62
  Swap 96 and 62
  List after swap: [-22, 62, 96]

Pass 2:
  Compare -22 and 62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, 62, 96]
</think>

<response>-22, 62, 96</response>


input: Using the bubble sort method, sort -50, -54, 90, -26, -8, -88 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-50, -54, 90, -26, -8, -88]

Pass 1:
  Compare -50 and -54
  Swap -50 and -54
  List after swap: [-54, -50, 90, -26, -8, -88]
  Compare -50 and 90
  No swap needed
  Compare 90 and -26
  Swap 90 and -26
  List after swap: [-54, -50, -26, 90, -8, -88]
  Compare 90 and -8
  Swap 90 and -8
  List after swap: [-54, -50, -26, -8, 90, -88]
  Compare 90 and -88
  Swap 90 and -88
  List after swap: [-54, -50, -26, -8, -88, 90]

Pass 2:
  Compare -54 and -50
  No swap needed
  Compare -50 and -26
  No swap needed
  Compare -26 and -8
  No swap needed
  Compare -8 and -88
  Swap -8 and -88
  List after swap: [-54, -50, -26, -88, -8, 90]

Pass 3:
  Compare -54 and -50
  No swap needed
  Compare -50 and -26
  No swap needed
  Compare -26 and -88
  Swap -26 and -88
  List after swap: [-54, -50, -88, -26, -8, 90]

Pass 4:
  Compare -54 and -50
  No swap needed
  Compare -50 and -88
  Swap -50 and -88
  List after swap: [-54, -88, -50, -26, -8, 90]

Pass 5:
  Compare -54 and -88
  Swap -54 and -88
  List after swap: [-88, -54, -50, -26, -8, 90]

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

Final sorted list: [-88, -54, -50, -26, -8, 90]
</think>

<response>-88, -54, -50, -26, -8, 90</response>


input: Using the bubble sort method, sort 39, -65, -28, 58, -4, 54, 68 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [39, -65, -28, 58, -4, 54, 68]

Pass 1:
  Compare 39 and -65
  Swap 39 and -65
  List after swap: [-65, 39, -28, 58, -4, 54, 68]
  Compare 39 and -28
  Swap 39 and -28
  List after swap: [-65, -28, 39, 58, -4, 54, 68]
  Compare 39 and 58
  No swap needed
  Compare 58 and -4
  Swap 58 and -4
  List after swap: [-65, -28, 39, -4, 58, 54, 68]
  Compare 58 and 54
  Swap 58 and 54
  List after swap: [-65, -28, 39, -4, 54, 58, 68]
  Compare 58 and 68
  No swap needed

Pass 2:
  Compare -65 and -28
  No swap needed
  Compare -28 and 39
  No swap needed
  Compare 39 and -4
  Swap 39 and -4
  List after swap: [-65, -28, -4, 39, 54, 58, 68]
  Compare 39 and 54
  No swap needed
  Compare 54 and 58
  No swap needed

Pass 3:
  Compare -65 and -28
  No swap needed
  Compare -28 and -4
  No swap needed
  Compare -4 and 39
  No swap needed
  Compare 39 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -28, -4, 39, 54, 58, 68]
</think>

<response>-65, -28, -4, 39, 54, 58, 68</response>


input: Using the bubble sort method, sort 64, 40, -100 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [64, 40, -100]

Pass 1:
  Compare 64 and 40
  Swap 64 and 40
  List after swap: [40, 64, -100]
  Compare 64 and -100
  Swap 64 and -100
  List after swap: [40, -100, 64]

Pass 2:
  Compare 40 and -100
  Swap 40 and -100
  List after swap: [-100, 40, 64]

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

Final sorted list: [-100, 40, 64]
</think>

<response>-100, 40, 64</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -25, -50, -93, 7, -64, -95, -42, 89, -89, 80.

output:
<think>
Initial list: [-25, -50, -93, 7, -64, -95, -42, 89, -89, 80]

Pass 1:
  Compare -25 and -50
  Swap -25 and -50
  List after swap: [-50, -25, -93, 7, -64, -95, -42, 89, -89, 80]
  Compare -25 and -93
  Swap -25 and -93
  List after swap: [-50, -93, -25, 7, -64, -95, -42, 89, -89, 80]
  Compare -25 and 7
  No swap needed
  Compare 7 and -64
  Swap 7 and -64
  List after swap: [-50, -93, -25, -64, 7, -95, -42, 89, -89, 80]
  Compare 7 and -95
  Swap 7 and -95
  List after swap: [-50, -93, -25, -64, -95, 7, -42, 89, -89, 80]
  Compare 7 and -42
  Swap 7 and -42
  List after swap: [-50, -93, -25, -64, -95, -42, 7, 89, -89, 80]
  Compare 7 and 89
  No swap needed
  Compare 89 and -89
  Swap 89 and -89
  List after swap: [-50, -93, -25, -64, -95, -42, 7, -89, 89, 80]
  Compare 89 and 80
  Swap 89 and 80
  List after swap: [-50, -93, -25, -64, -95, -42, 7, -89, 80, 89]

Pass 2:
  Compare -50 and -93
  Swap -50 and -93
  List after swap: [-93, -50, -25, -64, -95, -42, 7, -89, 80, 89]
  Compare -50 and -25
  No swap needed
  Compare -25 and -64
  Swap -25 and -64
  List after swap: [-93, -50, -64, -25, -95, -42, 7, -89, 80, 89]
  Compare -25 and -95
  Swap -25 and -95
  List after swap: [-93, -50, -64, -95, -25, -42, 7, -89, 80, 89]
  Compare -25 and -42
  Swap -25 and -42
  List after swap: [-93, -50, -64, -95, -42, -25, 7, -89, 80, 89]
  Compare -25 and 7
  No swap needed
  Compare 7 and -89
  Swap 7 and -89
  List after swap: [-93, -50, -64, -95, -42, -25, -89, 7, 80, 89]
  Compare 7 and 80
  No swap needed

Pass 3:
  Compare -93 and -50
  No swap needed
  Compare -50 and -64
  Swap -50 and -64
  List after swap: [-93, -64, -50, -95, -42, -25, -89, 7, 80, 89]
  Compare -50 and -95
  Swap -50 and -95
  List after swap: [-93, -64, -95, -50, -42, -25, -89, 7, 80, 89]
  Compare -50 and -42
  No swap needed
  Compare -42 and -25
  No swap needed
  Compare -25 and -89
  Swap -25 and -89
  List after swap: [-93, -64, -95, -50, -42, -89, -25, 7, 80, 89]
  Compare -25 and 7
  No swap needed

Pass 4:
  Compare -93 and -64
  No swap needed
  Compare -64 and -95
  Swap -64 and -95
  List after swap: [-93, -95, -64, -50, -42, -89, -25, 7, 80, 89]
  Compare -64 and -50
  No swap needed
  Compare -50 and -42
  No swap needed
  Compare -42 and -89
  Swap -42 and -89
  List after swap: [-93, -95, -64, -50, -89, -42, -25, 7, 80, 89]
  Compare -42 and -25
  No swap needed

Pass 5:
  Compare -93 and -95
  Swap -93 and -95
  List after swap: [-95, -93, -64, -50, -89, -42, -25, 7, 80, 89]
  Compare -93 and -64
  No swap needed
  Compare -64 and -50
  No swap needed
  Compare -50 and -89
  Swap -50 and -89
  List after swap: [-95, -93, -64, -89, -50, -42, -25, 7, 80, 89]
  Compare -50 and -42
  No swap needed

Pass 6:
  Compare -95 and -93
  No swap needed
  Compare -93 and -64
  No swap needed
  Compare -64 and -89
  Swap -64 and -89
  List after swap: [-95, -93, -89, -64, -50, -42, -25, 7, 80, 89]
  Compare -64 and -50
  No swap needed

Pass 7:
  Compare -95 and -93
  No swap needed
  Compare -93 and -89
  No swap needed
  Compare -89 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -93, -89, -64, -50, -42, -25, 7, 80, 89]
</think>

<response>-95, -93, -89, -64, -50, -42, -25, 7, 80, 89</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -13, -85, 11, -61, 60.

output:
<think>
Initial list: [-13, -85, 11, -61, 60]

Pass 1:
  Compare -13 and -85
  Swap -13 and -85
  List after swap: [-85, -13, 11, -61, 60]
  Compare -13 and 11
  No swap needed
  Compare 11 and -61
  Swap 11 and -61
  List after swap: [-85, -13, -61, 11, 60]
  Compare 11 and 60
  No swap needed

Pass 2:
  Compare -85 and -13
  No swap needed
  Compare -13 and -61
  Swap -13 and -61
  List after swap: [-85, -61, -13, 11, 60]
  Compare -13 and 11
  No swap needed

Pass 3:
  Compare -85 and -61
  No swap needed
  Compare -61 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -61, -13, 11, 60]
</think>

<response>-85, -61, -13, 11, 60</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 56, -27.

output:
<think>
Initial list: [56, -27]

Pass 1:
  Compare 56 and -27
  Swap 56 and -27
  List after swap: [-27, 56]

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

Final sorted list: [-27, 56]
</think>

<response>-27, 56</response>


input: Carry out the bubble sort algorithm on -94, -59, 10, -18, -50, 99, 19 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-94, -59, 10, -18, -50, 99, 19]

Pass 1:
  Compare -94 and -59
  No swap needed
  Compare -59 and 10
  No swap needed
  Compare 10 and -18
  Swap 10 and -18
  List after swap: [-94, -59, -18, 10, -50, 99, 19]
  Compare 10 and -50
  Swap 10 and -50
  List after swap: [-94, -59, -18, -50, 10, 99, 19]
  Compare 10 and 99
  No swap needed
  Compare 99 and 19
  Swap 99 and 19
  List after swap: [-94, -59, -18, -50, 10, 19, 99]

Pass 2:
  Compare -94 and -59
  No swap needed
  Compare -59 and -18
  No swap needed
  Compare -18 and -50
  Swap -18 and -50
  List after swap: [-94, -59, -50, -18, 10, 19, 99]
  Compare -18 and 10
  No swap needed
  Compare 10 and 19
  No swap needed

Pass 3:
  Compare -94 and -59
  No swap needed
  Compare -59 and -50
  No swap needed
  Compare -50 and -18
  No swap needed
  Compare -18 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -59, -50, -18, 10, 19, 99]
</think>

<response>-94, -59, -50, -18, 10, 19, 99</response>


input: Arrange the numbers 86, -10, 10, -11, -29, 79, -69 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [86, -10, 10, -11, -29, 79, -69]

Pass 1:
  Compare 86 and -10
  Swap 86 and -10
  List after swap: [-10, 86, 10, -11, -29, 79, -69]
  Compare 86 and 10
  Swap 86 and 10
  List after swap: [-10, 10, 86, -11, -29, 79, -69]
  Compare 86 and -11
  Swap 86 and -11
  List after swap: [-10, 10, -11, 86, -29, 79, -69]
  Compare 86 and -29
  Swap 86 and -29
  List after swap: [-10, 10, -11, -29, 86, 79, -69]
  Compare 86 and 79
  Swap 86 and 79
  List after swap: [-10, 10, -11, -29, 79, 86, -69]
  Compare 86 and -69
  Swap 86 and -69
  List after swap: [-10, 10, -11, -29, 79, -69, 86]

Pass 2:
  Compare -10 and 10
  No swap needed
  Compare 10 and -11
  Swap 10 and -11
  List after swap: [-10, -11, 10, -29, 79, -69, 86]
  Compare 10 and -29
  Swap 10 and -29
  List after swap: [-10, -11, -29, 10, 79, -69, 86]
  Compare 10 and 79
  No swap needed
  Compare 79 and -69
  Swap 79 and -69
  List after swap: [-10, -11, -29, 10, -69, 79, 86]

Pass 3:
  Compare -10 and -11
  Swap -10 and -11
  List after swap: [-11, -10, -29, 10, -69, 79, 86]
  Compare -10 and -29
  Swap -10 and -29
  List after swap: [-11, -29, -10, 10, -69, 79, 86]
  Compare -10 and 10
  No swap needed
  Compare 10 and -69
  Swap 10 and -69
  List after swap: [-11, -29, -10, -69, 10, 79, 86]

Pass 4:
  Compare -11 and -29
  Swap -11 and -29
  List after swap: [-29, -11, -10, -69, 10, 79, 86]
  Compare -11 and -10
  No swap needed
  Compare -10 and -69
  Swap -10 and -69
  List after swap: [-29, -11, -69, -10, 10, 79, 86]

Pass 5:
  Compare -29 and -11
  No swap needed
  Compare -11 and -69
  Swap -11 and -69
  List after swap: [-29, -69, -11, -10, 10, 79, 86]

Pass 6:
  Compare -29 and -69
  Swap -29 and -69
  List after swap: [-69, -29, -11, -10, 10, 79, 86]

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

Final sorted list: [-69, -29, -11, -10, 10, 79, 86]
</think>

<response>-69, -29, -11, -10, 10, 79, 86</response>


input: Execute bubble sort to sort -83, 30, 84, -65 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-83, 30, 84, -65]

Pass 1:
  Compare -83 and 30
  No swap needed
  Compare 30 and 84
  No swap needed
  Compare 84 and -65
  Swap 84 and -65
  List after swap: [-83, 30, -65, 84]

Pass 2:
  Compare -83 and 30
  No swap needed
  Compare 30 and -65
  Swap 30 and -65
  List after swap: [-83, -65, 30, 84]

Pass 3:
  Compare -83 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -65, 30, 84]
</think>

<response>-83, -65, 30, 84</response>


input: Implement bubble sort on 22, 66 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [22, 66]

Pass 1:
  Compare 22 and 66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [22, 66]
</think>

<response>22, 66</response>


input: Using the bubble sort method, sort 47, -1, -80, -51, -97, 7, -56, -49 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [47, -1, -80, -51, -97, 7, -56, -49]

Pass 1:
  Compare 47 and -1
  Swap 47 and -1
  List after swap: [-1, 47, -80, -51, -97, 7, -56, -49]
  Compare 47 and -80
  Swap 47 and -80
  List after swap: [-1, -80, 47, -51, -97, 7, -56, -49]
  Compare 47 and -51
  Swap 47 and -51
  List after swap: [-1, -80, -51, 47, -97, 7, -56, -49]
  Compare 47 and -97
  Swap 47 and -97
  List after swap: [-1, -80, -51, -97, 47, 7, -56, -49]
  Compare 47 and 7
  Swap 47 and 7
  List after swap: [-1, -80, -51, -97, 7, 47, -56, -49]
  Compare 47 and -56
  Swap 47 and -56
  List after swap: [-1, -80, -51, -97, 7, -56, 47, -49]
  Compare 47 and -49
  Swap 47 and -49
  List after swap: [-1, -80, -51, -97, 7, -56, -49, 47]

Pass 2:
  Compare -1 and -80
  Swap -1 and -80
  List after swap: [-80, -1, -51, -97, 7, -56, -49, 47]
  Compare -1 and -51
  Swap -1 and -51
  List after swap: [-80, -51, -1, -97, 7, -56, -49, 47]
  Compare -1 and -97
  Swap -1 and -97
  List after swap: [-80, -51, -97, -1, 7, -56, -49, 47]
  Compare -1 and 7
  No swap needed
  Compare 7 and -56
  Swap 7 and -56
  List after swap: [-80, -51, -97, -1, -56, 7, -49, 47]
  Compare 7 and -49
  Swap 7 and -49
  List after swap: [-80, -51, -97, -1, -56, -49, 7, 47]

Pass 3:
  Compare -80 and -51
  No swap needed
  Compare -51 and -97
  Swap -51 and -97
  List after swap: [-80, -97, -51, -1, -56, -49, 7, 47]
  Compare -51 and -1
  No swap needed
  Compare -1 and -56
  Swap -1 and -56
  List after swap: [-80, -97, -51, -56, -1, -49, 7, 47]
  Compare -1 and -49
  Swap -1 and -49
  List after swap: [-80, -97, -51, -56, -49, -1, 7, 47]

Pass 4:
  Compare -80 and -97
  Swap -80 and -97
  List after swap: [-97, -80, -51, -56, -49, -1, 7, 47]
  Compare -80 and -51
  No swap needed
  Compare -51 and -56
  Swap -51 and -56
  List after swap: [-97, -80, -56, -51, -49, -1, 7, 47]
  Compare -51 and -49
  No swap needed

Pass 5:
  Compare -97 and -80
  No swap needed
  Compare -80 and -56
  No swap needed
  Compare -56 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -80, -56, -51, -49, -1, 7, 47]
</think>

<response>-97, -80, -56, -51, -49, -1, 7, 47</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 89, 15, -38, 72, -79, -26, -63.

output:
<think>
Initial list: [89, 15, -38, 72, -79, -26, -63]

Pass 1:
  Compare 89 and 15
  Swap 89 and 15
  List after swap: [15, 89, -38, 72, -79, -26, -63]
  Compare 89 and -38
  Swap 89 and -38
  List after swap: [15, -38, 89, 72, -79, -26, -63]
  Compare 89 and 72
  Swap 89 and 72
  List after swap: [15, -38, 72, 89, -79, -26, -63]
  Compare 89 and -79
  Swap 89 and -79
  List after swap: [15, -38, 72, -79, 89, -26, -63]
  Compare 89 and -26
  Swap 89 and -26
  List after swap: [15, -38, 72, -79, -26, 89, -63]
  Compare 89 and -63
  Swap 89 and -63
  List after swap: [15, -38, 72, -79, -26, -63, 89]

Pass 2:
  Compare 15 and -38
  Swap 15 and -38
  List after swap: [-38, 15, 72, -79, -26, -63, 89]
  Compare 15 and 72
  No swap needed
  Compare 72 and -79
  Swap 72 and -79
  List after swap: [-38, 15, -79, 72, -26, -63, 89]
  Compare 72 and -26
  Swap 72 and -26
  List after swap: [-38, 15, -79, -26, 72, -63, 89]
  Compare 72 and -63
  Swap 72 and -63
  List after swap: [-38, 15, -79, -26, -63, 72, 89]

Pass 3:
  Compare -38 and 15
  No swap needed
  Compare 15 and -79
  Swap 15 and -79
  List after swap: [-38, -79, 15, -26, -63, 72, 89]
  Compare 15 and -26
  Swap 15 and -26
  List after swap: [-38, -79, -26, 15, -63, 72, 89]
  Compare 15 and -63
  Swap 15 and -63
  List after swap: [-38, -79, -26, -63, 15, 72, 89]

Pass 4:
  Compare -38 and -79
  Swap -38 and -79
  List after swap: [-79, -38, -26, -63, 15, 72, 89]
  Compare -38 and -26
  No swap needed
  Compare -26 and -63
  Swap -26 and -63
  List after swap: [-79, -38, -63, -26, 15, 72, 89]

Pass 5:
  Compare -79 and -38
  No swap needed
  Compare -38 and -63
  Swap -38 and -63
  List after swap: [-79, -63, -38, -26, 15, 72, 89]

Pass 6:
  Compare -79 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -63, -38, -26, 15, 72, 89]
</think>

<response>-79, -63, -38, -26, 15, 72, 89</response>


input: Perform a bubble sort on the integers 49, -83, -70, 77, 5, -87, 80, -58, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [49, -83, -70, 77, 5, -87, 80, -58]

Pass 1:
  Compare 49 and -83
  Swap 49 and -83
  List after swap: [-83, 49, -70, 77, 5, -87, 80, -58]
  Compare 49 and -70
  Swap 49 and -70
  List after swap: [-83, -70, 49, 77, 5, -87, 80, -58]
  Compare 49 and 77
  No swap needed
  Compare 77 and 5
  Swap 77 and 5
  List after swap: [-83, -70, 49, 5, 77, -87, 80, -58]
  Compare 77 and -87
  Swap 77 and -87
  List after swap: [-83, -70, 49, 5, -87, 77, 80, -58]
  Compare 77 and 80
  No swap needed
  Compare 80 and -58
  Swap 80 and -58
  List after swap: [-83, -70, 49, 5, -87, 77, -58, 80]

Pass 2:
  Compare -83 and -70
  No swap needed
  Compare -70 and 49
  No swap needed
  Compare 49 and 5
  Swap 49 and 5
  List after swap: [-83, -70, 5, 49, -87, 77, -58, 80]
  Compare 49 and -87
  Swap 49 and -87
  List after swap: [-83, -70, 5, -87, 49, 77, -58, 80]
  Compare 49 and 77
  No swap needed
  Compare 77 and -58
  Swap 77 and -58
  List after swap: [-83, -70, 5, -87, 49, -58, 77, 80]

Pass 3:
  Compare -83 and -70
  No swap needed
  Compare -70 and 5
  No swap needed
  Compare 5 and -87
  Swap 5 and -87
  List after swap: [-83, -70, -87, 5, 49, -58, 77, 80]
  Compare 5 and 49
  No swap needed
  Compare 49 and -58
  Swap 49 and -58
  List after swap: [-83, -70, -87, 5, -58, 49, 77, 80]

Pass 4:
  Compare -83 and -70
  No swap needed
  Compare -70 and -87
  Swap -70 and -87
  List after swap: [-83, -87, -70, 5, -58, 49, 77, 80]
  Compare -70 and 5
  No swap needed
  Compare 5 and -58
  Swap 5 and -58
  List after swap: [-83, -87, -70, -58, 5, 49, 77, 80]

Pass 5:
  Compare -83 and -87
  Swap -83 and -87
  List after swap: [-87, -83, -70, -58, 5, 49, 77, 80]
  Compare -83 and -70
  No swap needed
  Compare -70 and -58
  No swap needed

Pass 6:
  Compare -87 and -83
  No swap needed
  Compare -83 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -83, -70, -58, 5, 49, 77, 80]
</think>

<response>-87, -83, -70, -58, 5, 49, 77, 80</response>


input: Arrange the numbers 64, -2, 82, -64 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [64, -2, 82, -64]

Pass 1:
  Compare 64 and -2
  Swap 64 and -2
  List after swap: [-2, 64, 82, -64]
  Compare 64 and 82
  No swap needed
  Compare 82 and -64
  Swap 82 and -64
  List after swap: [-2, 64, -64, 82]

Pass 2:
  Compare -2 and 64
  No swap needed
  Compare 64 and -64
  Swap 64 and -64
  List after swap: [-2, -64, 64, 82]

Pass 3:
  Compare -2 and -64
  Swap -2 and -64
  List after swap: [-64, -2, 64, 82]

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

Final sorted list: [-64, -2, 64, 82]
</think>

<response>-64, -2, 64, 82</response>


input: Execute bubble sort to sort -64, -78, 28, -39, 81, 34, 80, 71 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-64, -78, 28, -39, 81, 34, 80, 71]

Pass 1:
  Compare -64 and -78
  Swap -64 and -78
  List after swap: [-78, -64, 28, -39, 81, 34, 80, 71]
  Compare -64 and 28
  No swap needed
  Compare 28 and -39
  Swap 28 and -39
  List after swap: [-78, -64, -39, 28, 81, 34, 80, 71]
  Compare 28 and 81
  No swap needed
  Compare 81 and 34
  Swap 81 and 34
  List after swap: [-78, -64, -39, 28, 34, 81, 80, 71]
  Compare 81 and 80
  Swap 81 and 80
  List after swap: [-78, -64, -39, 28, 34, 80, 81, 71]
  Compare 81 and 71
  Swap 81 and 71
  List after swap: [-78, -64, -39, 28, 34, 80, 71, 81]

Pass 2:
  Compare -78 and -64
  No swap needed
  Compare -64 and -39
  No swap needed
  Compare -39 and 28
  No swap needed
  Compare 28 and 34
  No swap needed
  Compare 34 and 80
  No swap needed
  Compare 80 and 71
  Swap 80 and 71
  List after swap: [-78, -64, -39, 28, 34, 71, 80, 81]

Pass 3:
  Compare -78 and -64
  No swap needed
  Compare -64 and -39
  No swap needed
  Compare -39 and 28
  No swap needed
  Compare 28 and 34
  No swap needed
  Compare 34 and 71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -64, -39, 28, 34, 71, 80, 81]
</think>

<response>-78, -64, -39, 28, 34, 71, 80, 81</response>